Add files using upload-large-folder tool

.gitattributes

@@ -443,3 +443,4 @@ janus/lib/python3.10/site-packages/transformers/generation/__pycache__/logits_pr
 janus/lib/python3.10/site-packages/transformers/models/oneformer/__pycache__/modeling_oneformer.cpython-310.pyc filter=lfs diff=lfs merge=lfs -text
 janus/lib/python3.10/site-packages/transformers/models/perceiver/__pycache__/modeling_perceiver.cpython-310.pyc filter=lfs diff=lfs merge=lfs -text
 infer_4_33_0/bin/python filter=lfs diff=lfs merge=lfs -text
+janus/lib/python3.10/site-packages/safetensors/_safetensors_rust.abi3.so filter=lfs diff=lfs merge=lfs -text

janus/lib/python3.10/site-packages/PyYAML-6.0.2.dist-info/INSTALLER

@@ -0,0 +1 @@
+pip

janus/lib/python3.10/site-packages/PyYAML-6.0.2.dist-info/LICENSE

@@ -0,0 +1,20 @@
+Copyright (c) 2017-2021 Ingy döt Net
+Copyright (c) 2006-2016 Kirill Simonov
+
+Permission is hereby granted, free of charge, to any person obtaining a copy of
+this software and associated documentation files (the "Software"), to deal in
+the Software without restriction, including without limitation the rights to
+use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies
+of the Software, and to permit persons to whom the Software is furnished to do
+so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in all
+copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+SOFTWARE.

janus/lib/python3.10/site-packages/PyYAML-6.0.2.dist-info/METADATA

@@ -0,0 +1,46 @@
+Metadata-Version: 2.1
+Name: PyYAML
+Version: 6.0.2
+Summary: YAML parser and emitter for Python
+Home-page: https://pyyaml.org/
+Download-URL: https://pypi.org/project/PyYAML/
+Author: Kirill Simonov
+Author-email: xi@resolvent.net
+License: MIT
+Project-URL: Bug Tracker, https://github.com/yaml/pyyaml/issues
+Project-URL: CI, https://github.com/yaml/pyyaml/actions
+Project-URL: Documentation, https://pyyaml.org/wiki/PyYAMLDocumentation
+Project-URL: Mailing lists, http://lists.sourceforge.net/lists/listinfo/yaml-core
+Project-URL: Source Code, https://github.com/yaml/pyyaml
+Platform: Any
+Classifier: Development Status :: 5 - Production/Stable
+Classifier: Intended Audience :: Developers
+Classifier: License :: OSI Approved :: MIT License
+Classifier: Operating System :: OS Independent
+Classifier: Programming Language :: Cython
+Classifier: Programming Language :: Python
+Classifier: Programming Language :: Python :: 3
+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: Topic :: Software Development :: Libraries :: Python Modules
+Classifier: Topic :: Text Processing :: Markup
+Requires-Python: >=3.8
+License-File: LICENSE
+
+YAML is a data serialization format designed for human readability
+and interaction with scripting languages.  PyYAML is a YAML parser
+and emitter for Python.
+
+PyYAML features a complete YAML 1.1 parser, Unicode support, pickle
+support, capable extension API, and sensible error messages.  PyYAML
+supports standard YAML tags and provides Python-specific tags that
+allow to represent an arbitrary Python object.
+
+PyYAML is applicable for a broad range of tasks from complex
+configuration files to object serialization and persistence.

janus/lib/python3.10/site-packages/PyYAML-6.0.2.dist-info/RECORD

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+PyYAML-6.0.2.dist-info/top_level.txt,sha256=rpj0IVMTisAjh_1vG3Ccf9v5jpCQwAz6cD1IVU5ZdhQ,11
+_yaml/__init__.py,sha256=04Ae_5osxahpJHa3XBZUAf4wi6XX32gR8D6X6p64GEA,1402
+_yaml/__pycache__/__init__.cpython-310.pyc,,
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janus/lib/python3.10/site-packages/PyYAML-6.0.2.dist-info/WHEEL

@@ -0,0 +1,6 @@
+Wheel-Version: 1.0
+Generator: bdist_wheel (0.44.0)
+Root-Is-Purelib: false
+Tag: cp310-cp310-manylinux_2_17_x86_64
+Tag: cp310-cp310-manylinux2014_x86_64
+

janus/lib/python3.10/site-packages/PyYAML-6.0.2.dist-info/top_level.txt

@@ -0,0 +1,2 @@
+_yaml
+yaml

janus/lib/python3.10/site-packages/requests/__version__.py

@@ -0,0 +1,14 @@
+# .-. .-. .-. . . .-. .-. .-. .-.
+# |(  |-  |.| | | |-  `-.  |  `-.
+# ' ' `-' `-`.`-' `-' `-'  '  `-'
+
+__title__ = "requests"
+__description__ = "Python HTTP for Humans."
+__url__ = "https://requests.readthedocs.io"
+__version__ = "2.32.3"
+__build__ = 0x023203
+__author__ = "Kenneth Reitz"
+__author_email__ = "me@kennethreitz.org"
+__license__ = "Apache-2.0"
+__copyright__ = "Copyright Kenneth Reitz"
+__cake__ = "\u2728 \U0001f370 \u2728"

janus/lib/python3.10/site-packages/requests/adapters.py

@@ -0,0 +1,719 @@
+"""
+requests.adapters
+~~~~~~~~~~~~~~~~~
+
+This module contains the transport adapters that Requests uses to define
+and maintain connections.
+"""
+
+import os.path
+import socket  # noqa: F401
+import typing
+import warnings
+
+from urllib3.exceptions import ClosedPoolError, ConnectTimeoutError
+from urllib3.exceptions import HTTPError as _HTTPError
+from urllib3.exceptions import InvalidHeader as _InvalidHeader
+from urllib3.exceptions import (
+    LocationValueError,
+    MaxRetryError,
+    NewConnectionError,
+    ProtocolError,
+)
+from urllib3.exceptions import ProxyError as _ProxyError
+from urllib3.exceptions import ReadTimeoutError, ResponseError
+from urllib3.exceptions import SSLError as _SSLError
+from urllib3.poolmanager import PoolManager, proxy_from_url
+from urllib3.util import Timeout as TimeoutSauce
+from urllib3.util import parse_url
+from urllib3.util.retry import Retry
+from urllib3.util.ssl_ import create_urllib3_context
+
+from .auth import _basic_auth_str
+from .compat import basestring, urlparse
+from .cookies import extract_cookies_to_jar
+from .exceptions import (
+    ConnectionError,
+    ConnectTimeout,
+    InvalidHeader,
+    InvalidProxyURL,
+    InvalidSchema,
+    InvalidURL,
+    ProxyError,
+    ReadTimeout,
+    RetryError,
+    SSLError,
+)
+from .models import Response
+from .structures import CaseInsensitiveDict
+from .utils import (
+    DEFAULT_CA_BUNDLE_PATH,
+    extract_zipped_paths,
+    get_auth_from_url,
+    get_encoding_from_headers,
+    prepend_scheme_if_needed,
+    select_proxy,
+    urldefragauth,
+)
+
+try:
+    from urllib3.contrib.socks import SOCKSProxyManager
+except ImportError:
+
+    def SOCKSProxyManager(*args, **kwargs):
+        raise InvalidSchema("Missing dependencies for SOCKS support.")
+
+
+if typing.TYPE_CHECKING:
+    from .models import PreparedRequest
+
+
+DEFAULT_POOLBLOCK = False
+DEFAULT_POOLSIZE = 10
+DEFAULT_RETRIES = 0
+DEFAULT_POOL_TIMEOUT = None
+
+
+try:
+    import ssl  # noqa: F401
+
+    _preloaded_ssl_context = create_urllib3_context()
+    _preloaded_ssl_context.load_verify_locations(
+        extract_zipped_paths(DEFAULT_CA_BUNDLE_PATH)
+    )
+except ImportError:
+    # Bypass default SSLContext creation when Python
+    # interpreter isn't built with the ssl module.
+    _preloaded_ssl_context = None
+
+
+def _urllib3_request_context(
+    request: "PreparedRequest",
+    verify: "bool | str | None",
+    client_cert: "typing.Tuple[str, str] | str | None",
+    poolmanager: "PoolManager",
+) -> "(typing.Dict[str, typing.Any], typing.Dict[str, typing.Any])":
+    host_params = {}
+    pool_kwargs = {}
+    parsed_request_url = urlparse(request.url)
+    scheme = parsed_request_url.scheme.lower()
+    port = parsed_request_url.port
+
+    # Determine if we have and should use our default SSLContext
+    # to optimize performance on standard requests.
+    poolmanager_kwargs = getattr(poolmanager, "connection_pool_kw", {})
+    has_poolmanager_ssl_context = poolmanager_kwargs.get("ssl_context")
+    should_use_default_ssl_context = (
+        _preloaded_ssl_context is not None and not has_poolmanager_ssl_context
+    )
+
+    cert_reqs = "CERT_REQUIRED"
+    if verify is False:
+        cert_reqs = "CERT_NONE"
+    elif verify is True and should_use_default_ssl_context:
+        pool_kwargs["ssl_context"] = _preloaded_ssl_context
+    elif isinstance(verify, str):
+        if not os.path.isdir(verify):
+            pool_kwargs["ca_certs"] = verify
+        else:
+            pool_kwargs["ca_cert_dir"] = verify
+    pool_kwargs["cert_reqs"] = cert_reqs
+    if client_cert is not None:
+        if isinstance(client_cert, tuple) and len(client_cert) == 2:
+            pool_kwargs["cert_file"] = client_cert[0]
+            pool_kwargs["key_file"] = client_cert[1]
+        else:
+            # According to our docs, we allow users to specify just the client
+            # cert path
+            pool_kwargs["cert_file"] = client_cert
+    host_params = {
+        "scheme": scheme,
+        "host": parsed_request_url.hostname,
+        "port": port,
+    }
+    return host_params, pool_kwargs
+
+
+class BaseAdapter:
+    """The Base Transport Adapter"""
+
+    def __init__(self):
+        super().__init__()
+
+    def send(
+        self, request, stream=False, timeout=None, verify=True, cert=None, proxies=None
+    ):
+        """Sends PreparedRequest object. Returns Response object.
+
+        :param request: The :class:`PreparedRequest <PreparedRequest>` being sent.
+        :param stream: (optional) Whether to stream the request content.
+        :param timeout: (optional) How long to wait for the server to send
+            data before giving up, as a float, or a :ref:`(connect timeout,
+            read timeout) <timeouts>` tuple.
+        :type timeout: float or tuple
+        :param verify: (optional) Either a boolean, in which case it controls whether we verify
+            the server's TLS certificate, or a string, in which case it must be a path
+            to a CA bundle to use
+        :param cert: (optional) Any user-provided SSL certificate to be trusted.
+        :param proxies: (optional) The proxies dictionary to apply to the request.
+        """
+        raise NotImplementedError
+
+    def close(self):
+        """Cleans up adapter specific items."""
+        raise NotImplementedError
+
+
+class HTTPAdapter(BaseAdapter):
+    """The built-in HTTP Adapter for urllib3.
+
+    Provides a general-case interface for Requests sessions to contact HTTP and
+    HTTPS urls by implementing the Transport Adapter interface. This class will
+    usually be created by the :class:`Session <Session>` class under the
+    covers.
+
+    :param pool_connections: The number of urllib3 connection pools to cache.
+    :param pool_maxsize: The maximum number of connections to save in the pool.
+    :param max_retries: The maximum number of retries each connection
+        should attempt. Note, this applies only to failed DNS lookups, socket
+        connections and connection timeouts, never to requests where data has
+        made it to the server. By default, Requests does not retry failed
+        connections. If you need granular control over the conditions under
+        which we retry a request, import urllib3's ``Retry`` class and pass
+        that instead.
+    :param pool_block: Whether the connection pool should block for connections.
+
+    Usage::
+
+      >>> import requests
+      >>> s = requests.Session()
+      >>> a = requests.adapters.HTTPAdapter(max_retries=3)
+      >>> s.mount('http://', a)
+    """
+
+    __attrs__ = [
+        "max_retries",
+        "config",
+        "_pool_connections",
+        "_pool_maxsize",
+        "_pool_block",
+    ]
+
+    def __init__(
+        self,
+        pool_connections=DEFAULT_POOLSIZE,
+        pool_maxsize=DEFAULT_POOLSIZE,
+        max_retries=DEFAULT_RETRIES,
+        pool_block=DEFAULT_POOLBLOCK,
+    ):
+        if max_retries == DEFAULT_RETRIES:
+            self.max_retries = Retry(0, read=False)
+        else:
+            self.max_retries = Retry.from_int(max_retries)
+        self.config = {}
+        self.proxy_manager = {}
+
+        super().__init__()
+
+        self._pool_connections = pool_connections
+        self._pool_maxsize = pool_maxsize
+        self._pool_block = pool_block
+
+        self.init_poolmanager(pool_connections, pool_maxsize, block=pool_block)
+
+    def __getstate__(self):
+        return {attr: getattr(self, attr, None) for attr in self.__attrs__}
+
+    def __setstate__(self, state):
+        # Can't handle by adding 'proxy_manager' to self.__attrs__ because
+        # self.poolmanager uses a lambda function, which isn't pickleable.
+        self.proxy_manager = {}
+        self.config = {}
+
+        for attr, value in state.items():
+            setattr(self, attr, value)
+
+        self.init_poolmanager(
+            self._pool_connections, self._pool_maxsize, block=self._pool_block
+        )
+
+    def init_poolmanager(
+        self, connections, maxsize, block=DEFAULT_POOLBLOCK, **pool_kwargs
+    ):
+        """Initializes a urllib3 PoolManager.
+
+        This method should not be called from user code, and is only
+        exposed for use when subclassing the
+        :class:`HTTPAdapter <requests.adapters.HTTPAdapter>`.
+
+        :param connections: The number of urllib3 connection pools to cache.
+        :param maxsize: The maximum number of connections to save in the pool.
+        :param block: Block when no free connections are available.
+        :param pool_kwargs: Extra keyword arguments used to initialize the Pool Manager.
+        """
+        # save these values for pickling
+        self._pool_connections = connections
+        self._pool_maxsize = maxsize
+        self._pool_block = block
+
+        self.poolmanager = PoolManager(
+            num_pools=connections,
+            maxsize=maxsize,
+            block=block,
+            **pool_kwargs,
+        )
+
+    def proxy_manager_for(self, proxy, **proxy_kwargs):
+        """Return urllib3 ProxyManager for the given proxy.
+
+        This method should not be called from user code, and is only
+        exposed for use when subclassing the
+        :class:`HTTPAdapter <requests.adapters.HTTPAdapter>`.
+
+        :param proxy: The proxy to return a urllib3 ProxyManager for.
+        :param proxy_kwargs: Extra keyword arguments used to configure the Proxy Manager.
+        :returns: ProxyManager
+        :rtype: urllib3.ProxyManager
+        """
+        if proxy in self.proxy_manager:
+            manager = self.proxy_manager[proxy]
+        elif proxy.lower().startswith("socks"):
+            username, password = get_auth_from_url(proxy)
+            manager = self.proxy_manager[proxy] = SOCKSProxyManager(
+                proxy,
+                username=username,
+                password=password,
+                num_pools=self._pool_connections,
+                maxsize=self._pool_maxsize,
+                block=self._pool_block,
+                **proxy_kwargs,
+            )
+        else:
+            proxy_headers = self.proxy_headers(proxy)
+            manager = self.proxy_manager[proxy] = proxy_from_url(
+                proxy,
+                proxy_headers=proxy_headers,
+                num_pools=self._pool_connections,
+                maxsize=self._pool_maxsize,
+                block=self._pool_block,
+                **proxy_kwargs,
+            )
+
+        return manager
+
+    def cert_verify(self, conn, url, verify, cert):
+        """Verify a SSL certificate. This method should not be called from user
+        code, and is only exposed for use when subclassing the
+        :class:`HTTPAdapter <requests.adapters.HTTPAdapter>`.
+
+        :param conn: The urllib3 connection object associated with the cert.
+        :param url: The requested URL.
+        :param verify: Either a boolean, in which case it controls whether we verify
+            the server's TLS certificate, or a string, in which case it must be a path
+            to a CA bundle to use
+        :param cert: The SSL certificate to verify.
+        """
+        if url.lower().startswith("https") and verify:
+            conn.cert_reqs = "CERT_REQUIRED"
+
+            # Only load the CA certificates if 'verify' is a string indicating the CA bundle to use.
+            # Otherwise, if verify is a boolean, we don't load anything since
+            # the connection will be using a context with the default certificates already loaded,
+            # and this avoids a call to the slow load_verify_locations()
+            if verify is not True:
+                # `verify` must be a str with a path then
+                cert_loc = verify
+
+                if not os.path.exists(cert_loc):
+                    raise OSError(
+                        f"Could not find a suitable TLS CA certificate bundle, "
+                        f"invalid path: {cert_loc}"
+                    )
+
+                if not os.path.isdir(cert_loc):
+                    conn.ca_certs = cert_loc
+                else:
+                    conn.ca_cert_dir = cert_loc
+        else:
+            conn.cert_reqs = "CERT_NONE"
+            conn.ca_certs = None
+            conn.ca_cert_dir = None
+
+        if cert:
+            if not isinstance(cert, basestring):
+                conn.cert_file = cert[0]
+                conn.key_file = cert[1]
+            else:
+                conn.cert_file = cert
+                conn.key_file = None
+            if conn.cert_file and not os.path.exists(conn.cert_file):
+                raise OSError(
+                    f"Could not find the TLS certificate file, "
+                    f"invalid path: {conn.cert_file}"
+                )
+            if conn.key_file and not os.path.exists(conn.key_file):
+                raise OSError(
+                    f"Could not find the TLS key file, invalid path: {conn.key_file}"
+                )
+
+    def build_response(self, req, resp):
+        """Builds a :class:`Response <requests.Response>` object from a urllib3
+        response. This should not be called from user code, and is only exposed
+        for use when subclassing the
+        :class:`HTTPAdapter <requests.adapters.HTTPAdapter>`
+
+        :param req: The :class:`PreparedRequest <PreparedRequest>` used to generate the response.
+        :param resp: The urllib3 response object.
+        :rtype: requests.Response
+        """
+        response = Response()
+
+        # Fallback to None if there's no status_code, for whatever reason.
+        response.status_code = getattr(resp, "status", None)
+
+        # Make headers case-insensitive.
+        response.headers = CaseInsensitiveDict(getattr(resp, "headers", {}))
+
+        # Set encoding.
+        response.encoding = get_encoding_from_headers(response.headers)
+        response.raw = resp
+        response.reason = response.raw.reason
+
+        if isinstance(req.url, bytes):
+            response.url = req.url.decode("utf-8")
+        else:
+            response.url = req.url
+
+        # Add new cookies from the server.
+        extract_cookies_to_jar(response.cookies, req, resp)
+
+        # Give the Response some context.
+        response.request = req
+        response.connection = self
+
+        return response
+
+    def build_connection_pool_key_attributes(self, request, verify, cert=None):
+        """Build the PoolKey attributes used by urllib3 to return a connection.
+
+        This looks at the PreparedRequest, the user-specified verify value,
+        and the value of the cert parameter to determine what PoolKey values
+        to use to select a connection from a given urllib3 Connection Pool.
+
+        The SSL related pool key arguments are not consistently set. As of
+        this writing, use the following to determine what keys may be in that
+        dictionary:
+
+        * If ``verify`` is ``True``, ``"ssl_context"`` will be set and will be the
+          default Requests SSL Context
+        * If ``verify`` is ``False``, ``"ssl_context"`` will not be set but
+          ``"cert_reqs"`` will be set
+        * If ``verify`` is a string, (i.e., it is a user-specified trust bundle)
+          ``"ca_certs"`` will be set if the string is not a directory recognized
+          by :py:func:`os.path.isdir`, otherwise ``"ca_certs_dir"`` will be
+          set.
+        * If ``"cert"`` is specified, ``"cert_file"`` will always be set. If
+          ``"cert"`` is a tuple with a second item, ``"key_file"`` will also
+          be present
+
+        To override these settings, one may subclass this class, call this
+        method and use the above logic to change parameters as desired. For
+        example, if one wishes to use a custom :py:class:`ssl.SSLContext` one
+        must both set ``"ssl_context"`` and based on what else they require,
+        alter the other keys to ensure the desired behaviour.
+
+        :param request:
+            The PreparedReqest being sent over the connection.
+        :type request:
+            :class:`~requests.models.PreparedRequest`
+        :param verify:
+            Either a boolean, in which case it controls whether
+            we verify the server's TLS certificate, or a string, in which case it
+            must be a path to a CA bundle to use.
+        :param cert:
+            (optional) Any user-provided SSL certificate for client
+            authentication (a.k.a., mTLS). This may be a string (i.e., just
+            the path to a file which holds both certificate and key) or a
+            tuple of length 2 with the certificate file path and key file
+            path.
+        :returns:
+            A tuple of two dictionaries. The first is the "host parameters"
+            portion of the Pool Key including scheme, hostname, and port. The
+            second is a dictionary of SSLContext related parameters.
+        """
+        return _urllib3_request_context(request, verify, cert, self.poolmanager)
+
+    def get_connection_with_tls_context(self, request, verify, proxies=None, cert=None):
+        """Returns a urllib3 connection for the given request and TLS settings.
+        This should not be called from user code, and is only exposed for use
+        when subclassing the :class:`HTTPAdapter <requests.adapters.HTTPAdapter>`.
+
+        :param request:
+            The :class:`PreparedRequest <PreparedRequest>` object to be sent
+            over the connection.
+        :param verify:
+            Either a boolean, in which case it controls whether we verify the
+            server's TLS certificate, or a string, in which case it must be a
+            path to a CA bundle to use.
+        :param proxies:
+            (optional) The proxies dictionary to apply to the request.
+        :param cert:
+            (optional) Any user-provided SSL certificate to be used for client
+            authentication (a.k.a., mTLS).
+        :rtype:
+            urllib3.ConnectionPool
+        """
+        proxy = select_proxy(request.url, proxies)
+        try:
+            host_params, pool_kwargs = self.build_connection_pool_key_attributes(
+                request,
+                verify,
+                cert,
+            )
+        except ValueError as e:
+            raise InvalidURL(e, request=request)
+        if proxy:
+            proxy = prepend_scheme_if_needed(proxy, "http")
+            proxy_url = parse_url(proxy)
+            if not proxy_url.host:
+                raise InvalidProxyURL(
+                    "Please check proxy URL. It is malformed "
+                    "and could be missing the host."
+                )
+            proxy_manager = self.proxy_manager_for(proxy)
+            conn = proxy_manager.connection_from_host(
+                **host_params, pool_kwargs=pool_kwargs
+            )
+        else:
+            # Only scheme should be lower case
+            conn = self.poolmanager.connection_from_host(
+                **host_params, pool_kwargs=pool_kwargs
+            )
+
+        return conn
+
+    def get_connection(self, url, proxies=None):
+        """DEPRECATED: Users should move to `get_connection_with_tls_context`
+        for all subclasses of HTTPAdapter using Requests>=2.32.2.
+
+        Returns a urllib3 connection for the given URL. This should not be
+        called from user code, and is only exposed for use when subclassing the
+        :class:`HTTPAdapter <requests.adapters.HTTPAdapter>`.
+
+        :param url: The URL to connect to.
+        :param proxies: (optional) A Requests-style dictionary of proxies used on this request.
+        :rtype: urllib3.ConnectionPool
+        """
+        warnings.warn(
+            (
+                "`get_connection` has been deprecated in favor of "
+                "`get_connection_with_tls_context`. Custom HTTPAdapter subclasses "
+                "will need to migrate for Requests>=2.32.2. Please see "
+                "https://github.com/psf/requests/pull/6710 for more details."
+            ),
+            DeprecationWarning,
+        )
+        proxy = select_proxy(url, proxies)
+
+        if proxy:
+            proxy = prepend_scheme_if_needed(proxy, "http")
+            proxy_url = parse_url(proxy)
+            if not proxy_url.host:
+                raise InvalidProxyURL(
+                    "Please check proxy URL. It is malformed "
+                    "and could be missing the host."
+                )
+            proxy_manager = self.proxy_manager_for(proxy)
+            conn = proxy_manager.connection_from_url(url)
+        else:
+            # Only scheme should be lower case
+            parsed = urlparse(url)
+            url = parsed.geturl()
+            conn = self.poolmanager.connection_from_url(url)
+
+        return conn
+
+    def close(self):
+        """Disposes of any internal state.
+
+        Currently, this closes the PoolManager and any active ProxyManager,
+        which closes any pooled connections.
+        """
+        self.poolmanager.clear()
+        for proxy in self.proxy_manager.values():
+            proxy.clear()
+
+    def request_url(self, request, proxies):
+        """Obtain the url to use when making the final request.
+
+        If the message is being sent through a HTTP proxy, the full URL has to
+        be used. Otherwise, we should only use the path portion of the URL.
+
+        This should not be called from user code, and is only exposed for use
+        when subclassing the
+        :class:`HTTPAdapter <requests.adapters.HTTPAdapter>`.
+
+        :param request: The :class:`PreparedRequest <PreparedRequest>` being sent.
+        :param proxies: A dictionary of schemes or schemes and hosts to proxy URLs.
+        :rtype: str
+        """
+        proxy = select_proxy(request.url, proxies)
+        scheme = urlparse(request.url).scheme
+
+        is_proxied_http_request = proxy and scheme != "https"
+        using_socks_proxy = False
+        if proxy:
+            proxy_scheme = urlparse(proxy).scheme.lower()
+            using_socks_proxy = proxy_scheme.startswith("socks")
+
+        url = request.path_url
+        if url.startswith("//"):  # Don't confuse urllib3
+            url = f"/{url.lstrip('/')}"
+
+        if is_proxied_http_request and not using_socks_proxy:
+            url = urldefragauth(request.url)
+
+        return url
+
+    def add_headers(self, request, **kwargs):
+        """Add any headers needed by the connection. As of v2.0 this does
+        nothing by default, but is left for overriding by users that subclass
+        the :class:`HTTPAdapter <requests.adapters.HTTPAdapter>`.
+
+        This should not be called from user code, and is only exposed for use
+        when subclassing the
+        :class:`HTTPAdapter <requests.adapters.HTTPAdapter>`.
+
+        :param request: The :class:`PreparedRequest <PreparedRequest>` to add headers to.
+        :param kwargs: The keyword arguments from the call to send().
+        """
+        pass
+
+    def proxy_headers(self, proxy):
+        """Returns a dictionary of the headers to add to any request sent
+        through a proxy. This works with urllib3 magic to ensure that they are
+        correctly sent to the proxy, rather than in a tunnelled request if
+        CONNECT is being used.
+
+        This should not be called from user code, and is only exposed for use
+        when subclassing the
+        :class:`HTTPAdapter <requests.adapters.HTTPAdapter>`.
+
+        :param proxy: The url of the proxy being used for this request.
+        :rtype: dict
+        """
+        headers = {}
+        username, password = get_auth_from_url(proxy)
+
+        if username:
+            headers["Proxy-Authorization"] = _basic_auth_str(username, password)
+
+        return headers
+
+    def send(
+        self, request, stream=False, timeout=None, verify=True, cert=None, proxies=None
+    ):
+        """Sends PreparedRequest object. Returns Response object.
+
+        :param request: The :class:`PreparedRequest <PreparedRequest>` being sent.
+        :param stream: (optional) Whether to stream the request content.
+        :param timeout: (optional) How long to wait for the server to send
+            data before giving up, as a float, or a :ref:`(connect timeout,
+            read timeout) <timeouts>` tuple.
+        :type timeout: float or tuple or urllib3 Timeout object
+        :param verify: (optional) Either a boolean, in which case it controls whether
+            we verify the server's TLS certificate, or a string, in which case it
+            must be a path to a CA bundle to use
+        :param cert: (optional) Any user-provided SSL certificate to be trusted.
+        :param proxies: (optional) The proxies dictionary to apply to the request.
+        :rtype: requests.Response
+        """
+
+        try:
+            conn = self.get_connection_with_tls_context(
+                request, verify, proxies=proxies, cert=cert
+            )
+        except LocationValueError as e:
+            raise InvalidURL(e, request=request)
+
+        self.cert_verify(conn, request.url, verify, cert)
+        url = self.request_url(request, proxies)
+        self.add_headers(
+            request,
+            stream=stream,
+            timeout=timeout,
+            verify=verify,
+            cert=cert,
+            proxies=proxies,
+        )
+
+        chunked = not (request.body is None or "Content-Length" in request.headers)
+
+        if isinstance(timeout, tuple):
+            try:
+                connect, read = timeout
+                timeout = TimeoutSauce(connect=connect, read=read)
+            except ValueError:
+                raise ValueError(
+                    f"Invalid timeout {timeout}. Pass a (connect, read) timeout tuple, "
+                    f"or a single float to set both timeouts to the same value."
+                )
+        elif isinstance(timeout, TimeoutSauce):
+            pass
+        else:
+            timeout = TimeoutSauce(connect=timeout, read=timeout)
+
+        try:
+            resp = conn.urlopen(
+                method=request.method,
+                url=url,
+                body=request.body,
+                headers=request.headers,
+                redirect=False,
+                assert_same_host=False,
+                preload_content=False,
+                decode_content=False,
+                retries=self.max_retries,
+                timeout=timeout,
+                chunked=chunked,
+            )
+
+        except (ProtocolError, OSError) as err:
+            raise ConnectionError(err, request=request)
+
+        except MaxRetryError as e:
+            if isinstance(e.reason, ConnectTimeoutError):
+                # TODO: Remove this in 3.0.0: see #2811
+                if not isinstance(e.reason, NewConnectionError):
+                    raise ConnectTimeout(e, request=request)
+
+            if isinstance(e.reason, ResponseError):
+                raise RetryError(e, request=request)
+
+            if isinstance(e.reason, _ProxyError):
+                raise ProxyError(e, request=request)
+
+            if isinstance(e.reason, _SSLError):
+                # This branch is for urllib3 v1.22 and later.
+                raise SSLError(e, request=request)
+
+            raise ConnectionError(e, request=request)
+
+        except ClosedPoolError as e:
+            raise ConnectionError(e, request=request)
+
+        except _ProxyError as e:
+            raise ProxyError(e)
+
+        except (_SSLError, _HTTPError) as e:
+            if isinstance(e, _SSLError):
+                # This branch is for urllib3 versions earlier than v1.22
+                raise SSLError(e, request=request)
+            elif isinstance(e, ReadTimeoutError):
+                raise ReadTimeout(e, request=request)
+            elif isinstance(e, _InvalidHeader):
+                raise InvalidHeader(e, request=request)
+            else:
+                raise
+
+        return self.build_response(request, resp)

janus/lib/python3.10/site-packages/requests/auth.py

@@ -0,0 +1,314 @@
+"""
+requests.auth
+~~~~~~~~~~~~~
+
+This module contains the authentication handlers for Requests.
+"""
+
+import hashlib
+import os
+import re
+import threading
+import time
+import warnings
+from base64 import b64encode
+
+from ._internal_utils import to_native_string
+from .compat import basestring, str, urlparse
+from .cookies import extract_cookies_to_jar
+from .utils import parse_dict_header
+
+CONTENT_TYPE_FORM_URLENCODED = "application/x-www-form-urlencoded"
+CONTENT_TYPE_MULTI_PART = "multipart/form-data"
+
+
+def _basic_auth_str(username, password):
+    """Returns a Basic Auth string."""
+
+    # "I want us to put a big-ol' comment on top of it that
+    # says that this behaviour is dumb but we need to preserve
+    # it because people are relying on it."
+    #    - Lukasa
+    #
+    # These are here solely to maintain backwards compatibility
+    # for things like ints. This will be removed in 3.0.0.
+    if not isinstance(username, basestring):
+        warnings.warn(
+            "Non-string usernames will no longer be supported in Requests "
+            "3.0.0. Please convert the object you've passed in ({!r}) to "
+            "a string or bytes object in the near future to avoid "
+            "problems.".format(username),
+            category=DeprecationWarning,
+        )
+        username = str(username)
+
+    if not isinstance(password, basestring):
+        warnings.warn(
+            "Non-string passwords will no longer be supported in Requests "
+            "3.0.0. Please convert the object you've passed in ({!r}) to "
+            "a string or bytes object in the near future to avoid "
+            "problems.".format(type(password)),
+            category=DeprecationWarning,
+        )
+        password = str(password)
+    # -- End Removal --
+
+    if isinstance(username, str):
+        username = username.encode("latin1")
+
+    if isinstance(password, str):
+        password = password.encode("latin1")
+
+    authstr = "Basic " + to_native_string(
+        b64encode(b":".join((username, password))).strip()
+    )
+
+    return authstr
+
+
+class AuthBase:
+    """Base class that all auth implementations derive from"""
+
+    def __call__(self, r):
+        raise NotImplementedError("Auth hooks must be callable.")
+
+
+class HTTPBasicAuth(AuthBase):
+    """Attaches HTTP Basic Authentication to the given Request object."""
+
+    def __init__(self, username, password):
+        self.username = username
+        self.password = password
+
+    def __eq__(self, other):
+        return all(
+            [
+                self.username == getattr(other, "username", None),
+                self.password == getattr(other, "password", None),
+            ]
+        )
+
+    def __ne__(self, other):
+        return not self == other
+
+    def __call__(self, r):
+        r.headers["Authorization"] = _basic_auth_str(self.username, self.password)
+        return r
+
+
+class HTTPProxyAuth(HTTPBasicAuth):
+    """Attaches HTTP Proxy Authentication to a given Request object."""
+
+    def __call__(self, r):
+        r.headers["Proxy-Authorization"] = _basic_auth_str(self.username, self.password)
+        return r
+
+
+class HTTPDigestAuth(AuthBase):
+    """Attaches HTTP Digest Authentication to the given Request object."""
+
+    def __init__(self, username, password):
+        self.username = username
+        self.password = password
+        # Keep state in per-thread local storage
+        self._thread_local = threading.local()
+
+    def init_per_thread_state(self):
+        # Ensure state is initialized just once per-thread
+        if not hasattr(self._thread_local, "init"):
+            self._thread_local.init = True
+            self._thread_local.last_nonce = ""
+            self._thread_local.nonce_count = 0
+            self._thread_local.chal = {}
+            self._thread_local.pos = None
+            self._thread_local.num_401_calls = None
+
+    def build_digest_header(self, method, url):
+        """
+        :rtype: str
+        """
+
+        realm = self._thread_local.chal["realm"]
+        nonce = self._thread_local.chal["nonce"]
+        qop = self._thread_local.chal.get("qop")
+        algorithm = self._thread_local.chal.get("algorithm")
+        opaque = self._thread_local.chal.get("opaque")
+        hash_utf8 = None
+
+        if algorithm is None:
+            _algorithm = "MD5"
+        else:
+            _algorithm = algorithm.upper()
+        # lambdas assume digest modules are imported at the top level
+        if _algorithm == "MD5" or _algorithm == "MD5-SESS":
+
+            def md5_utf8(x):
+                if isinstance(x, str):
+                    x = x.encode("utf-8")
+                return hashlib.md5(x).hexdigest()
+
+            hash_utf8 = md5_utf8
+        elif _algorithm == "SHA":
+
+            def sha_utf8(x):
+                if isinstance(x, str):
+                    x = x.encode("utf-8")
+                return hashlib.sha1(x).hexdigest()
+
+            hash_utf8 = sha_utf8
+        elif _algorithm == "SHA-256":
+
+            def sha256_utf8(x):
+                if isinstance(x, str):
+                    x = x.encode("utf-8")
+                return hashlib.sha256(x).hexdigest()
+
+            hash_utf8 = sha256_utf8
+        elif _algorithm == "SHA-512":
+
+            def sha512_utf8(x):
+                if isinstance(x, str):
+                    x = x.encode("utf-8")
+                return hashlib.sha512(x).hexdigest()
+
+            hash_utf8 = sha512_utf8
+
+        KD = lambda s, d: hash_utf8(f"{s}:{d}")  # noqa:E731
+
+        if hash_utf8 is None:
+            return None
+
+        # XXX not implemented yet
+        entdig = None
+        p_parsed = urlparse(url)
+        #: path is request-uri defined in RFC 2616 which should not be empty
+        path = p_parsed.path or "/"
+        if p_parsed.query:
+            path += f"?{p_parsed.query}"
+
+        A1 = f"{self.username}:{realm}:{self.password}"
+        A2 = f"{method}:{path}"
+
+        HA1 = hash_utf8(A1)
+        HA2 = hash_utf8(A2)
+
+        if nonce == self._thread_local.last_nonce:
+            self._thread_local.nonce_count += 1
+        else:
+            self._thread_local.nonce_count = 1
+        ncvalue = f"{self._thread_local.nonce_count:08x}"
+        s = str(self._thread_local.nonce_count).encode("utf-8")
+        s += nonce.encode("utf-8")
+        s += time.ctime().encode("utf-8")
+        s += os.urandom(8)
+
+        cnonce = hashlib.sha1(s).hexdigest()[:16]
+        if _algorithm == "MD5-SESS":
+            HA1 = hash_utf8(f"{HA1}:{nonce}:{cnonce}")
+
+        if not qop:
+            respdig = KD(HA1, f"{nonce}:{HA2}")
+        elif qop == "auth" or "auth" in qop.split(","):
+            noncebit = f"{nonce}:{ncvalue}:{cnonce}:auth:{HA2}"
+            respdig = KD(HA1, noncebit)
+        else:
+            # XXX handle auth-int.
+            return None
+
+        self._thread_local.last_nonce = nonce
+
+        # XXX should the partial digests be encoded too?
+        base = (
+            f'username="{self.username}", realm="{realm}", nonce="{nonce}", '
+            f'uri="{path}", response="{respdig}"'
+        )
+        if opaque:
+            base += f', opaque="{opaque}"'
+        if algorithm:
+            base += f', algorithm="{algorithm}"'
+        if entdig:
+            base += f', digest="{entdig}"'
+        if qop:
+            base += f', qop="auth", nc={ncvalue}, cnonce="{cnonce}"'
+
+        return f"Digest {base}"
+
+    def handle_redirect(self, r, **kwargs):
+        """Reset num_401_calls counter on redirects."""
+        if r.is_redirect:
+            self._thread_local.num_401_calls = 1
+
+    def handle_401(self, r, **kwargs):
+        """
+        Takes the given response and tries digest-auth, if needed.
+
+        :rtype: requests.Response
+        """
+
+        # If response is not 4xx, do not auth
+        # See https://github.com/psf/requests/issues/3772
+        if not 400 <= r.status_code < 500:
+            self._thread_local.num_401_calls = 1
+            return r
+
+        if self._thread_local.pos is not None:
+            # Rewind the file position indicator of the body to where
+            # it was to resend the request.
+            r.request.body.seek(self._thread_local.pos)
+        s_auth = r.headers.get("www-authenticate", "")
+
+        if "digest" in s_auth.lower() and self._thread_local.num_401_calls < 2:
+            self._thread_local.num_401_calls += 1
+            pat = re.compile(r"digest ", flags=re.IGNORECASE)
+            self._thread_local.chal = parse_dict_header(pat.sub("", s_auth, count=1))
+
+            # Consume content and release the original connection
+            # to allow our new request to reuse the same one.
+            r.content
+            r.close()
+            prep = r.request.copy()
+            extract_cookies_to_jar(prep._cookies, r.request, r.raw)
+            prep.prepare_cookies(prep._cookies)
+
+            prep.headers["Authorization"] = self.build_digest_header(
+                prep.method, prep.url
+            )
+            _r = r.connection.send(prep, **kwargs)
+            _r.history.append(r)
+            _r.request = prep
+
+            return _r
+
+        self._thread_local.num_401_calls = 1
+        return r
+
+    def __call__(self, r):
+        # Initialize per-thread state, if needed
+        self.init_per_thread_state()
+        # If we have a saved nonce, skip the 401
+        if self._thread_local.last_nonce:
+            r.headers["Authorization"] = self.build_digest_header(r.method, r.url)
+        try:
+            self._thread_local.pos = r.body.tell()
+        except AttributeError:
+            # In the case of HTTPDigestAuth being reused and the body of
+            # the previous request was a file-like object, pos has the
+            # file position of the previous body. Ensure it's set to
+            # None.
+            self._thread_local.pos = None
+        r.register_hook("response", self.handle_401)
+        r.register_hook("response", self.handle_redirect)
+        self._thread_local.num_401_calls = 1
+
+        return r
+
+    def __eq__(self, other):
+        return all(
+            [
+                self.username == getattr(other, "username", None),
+                self.password == getattr(other, "password", None),
+            ]
+        )
+
+    def __ne__(self, other):
+        return not self == other

janus/lib/python3.10/site-packages/requests/cookies.py

@@ -0,0 +1,561 @@
+"""
+requests.cookies
+~~~~~~~~~~~~~~~~
+
+Compatibility code to be able to use `http.cookiejar.CookieJar` with requests.
+
+requests.utils imports from here, so be careful with imports.
+"""
+
+import calendar
+import copy
+import time
+
+from ._internal_utils import to_native_string
+from .compat import Morsel, MutableMapping, cookielib, urlparse, urlunparse
+
+try:
+    import threading
+except ImportError:
+    import dummy_threading as threading
+
+
+class MockRequest:
+    """Wraps a `requests.Request` to mimic a `urllib2.Request`.
+
+    The code in `http.cookiejar.CookieJar` expects this interface in order to correctly
+    manage cookie policies, i.e., determine whether a cookie can be set, given the
+    domains of the request and the cookie.
+
+    The original request object is read-only. The client is responsible for collecting
+    the new headers via `get_new_headers()` and interpreting them appropriately. You
+    probably want `get_cookie_header`, defined below.
+    """
+
+    def __init__(self, request):
+        self._r = request
+        self._new_headers = {}
+        self.type = urlparse(self._r.url).scheme
+
+    def get_type(self):
+        return self.type
+
+    def get_host(self):
+        return urlparse(self._r.url).netloc
+
+    def get_origin_req_host(self):
+        return self.get_host()
+
+    def get_full_url(self):
+        # Only return the response's URL if the user hadn't set the Host
+        # header
+        if not self._r.headers.get("Host"):
+            return self._r.url
+        # If they did set it, retrieve it and reconstruct the expected domain
+        host = to_native_string(self._r.headers["Host"], encoding="utf-8")
+        parsed = urlparse(self._r.url)
+        # Reconstruct the URL as we expect it
+        return urlunparse(
+            [
+                parsed.scheme,
+                host,
+                parsed.path,
+                parsed.params,
+                parsed.query,
+                parsed.fragment,
+            ]
+        )
+
+    def is_unverifiable(self):
+        return True
+
+    def has_header(self, name):
+        return name in self._r.headers or name in self._new_headers
+
+    def get_header(self, name, default=None):
+        return self._r.headers.get(name, self._new_headers.get(name, default))
+
+    def add_header(self, key, val):
+        """cookiejar has no legitimate use for this method; add it back if you find one."""
+        raise NotImplementedError(
+            "Cookie headers should be added with add_unredirected_header()"
+        )
+
+    def add_unredirected_header(self, name, value):
+        self._new_headers[name] = value
+
+    def get_new_headers(self):
+        return self._new_headers
+
+    @property
+    def unverifiable(self):
+        return self.is_unverifiable()
+
+    @property
+    def origin_req_host(self):
+        return self.get_origin_req_host()
+
+    @property
+    def host(self):
+        return self.get_host()
+
+
+class MockResponse:
+    """Wraps a `httplib.HTTPMessage` to mimic a `urllib.addinfourl`.
+
+    ...what? Basically, expose the parsed HTTP headers from the server response
+    the way `http.cookiejar` expects to see them.
+    """
+
+    def __init__(self, headers):
+        """Make a MockResponse for `cookiejar` to read.
+
+        :param headers: a httplib.HTTPMessage or analogous carrying the headers
+        """
+        self._headers = headers
+
+    def info(self):
+        return self._headers
+
+    def getheaders(self, name):
+        self._headers.getheaders(name)
+
+
+def extract_cookies_to_jar(jar, request, response):
+    """Extract the cookies from the response into a CookieJar.
+
+    :param jar: http.cookiejar.CookieJar (not necessarily a RequestsCookieJar)
+    :param request: our own requests.Request object
+    :param response: urllib3.HTTPResponse object
+    """
+    if not (hasattr(response, "_original_response") and response._original_response):
+        return
+    # the _original_response field is the wrapped httplib.HTTPResponse object,
+    req = MockRequest(request)
+    # pull out the HTTPMessage with the headers and put it in the mock:
+    res = MockResponse(response._original_response.msg)
+    jar.extract_cookies(res, req)
+
+
+def get_cookie_header(jar, request):
+    """
+    Produce an appropriate Cookie header string to be sent with `request`, or None.
+
+    :rtype: str
+    """
+    r = MockRequest(request)
+    jar.add_cookie_header(r)
+    return r.get_new_headers().get("Cookie")
+
+
+def remove_cookie_by_name(cookiejar, name, domain=None, path=None):
+    """Unsets a cookie by name, by default over all domains and paths.
+
+    Wraps CookieJar.clear(), is O(n).
+    """
+    clearables = []
+    for cookie in cookiejar:
+        if cookie.name != name:
+            continue
+        if domain is not None and domain != cookie.domain:
+            continue
+        if path is not None and path != cookie.path:
+            continue
+        clearables.append((cookie.domain, cookie.path, cookie.name))
+
+    for domain, path, name in clearables:
+        cookiejar.clear(domain, path, name)
+
+
+class CookieConflictError(RuntimeError):
+    """There are two cookies that meet the criteria specified in the cookie jar.
+    Use .get and .set and include domain and path args in order to be more specific.
+    """
+
+
+class RequestsCookieJar(cookielib.CookieJar, MutableMapping):
+    """Compatibility class; is a http.cookiejar.CookieJar, but exposes a dict
+    interface.
+
+    This is the CookieJar we create by default for requests and sessions that
+    don't specify one, since some clients may expect response.cookies and
+    session.cookies to support dict operations.
+
+    Requests does not use the dict interface internally; it's just for
+    compatibility with external client code. All requests code should work
+    out of the box with externally provided instances of ``CookieJar``, e.g.
+    ``LWPCookieJar`` and ``FileCookieJar``.
+
+    Unlike a regular CookieJar, this class is pickleable.
+
+    .. warning:: dictionary operations that are normally O(1) may be O(n).
+    """
+
+    def get(self, name, default=None, domain=None, path=None):
+        """Dict-like get() that also supports optional domain and path args in
+        order to resolve naming collisions from using one cookie jar over
+        multiple domains.
+
+        .. warning:: operation is O(n), not O(1).
+        """
+        try:
+            return self._find_no_duplicates(name, domain, path)
+        except KeyError:
+            return default
+
+    def set(self, name, value, **kwargs):
+        """Dict-like set() that also supports optional domain and path args in
+        order to resolve naming collisions from using one cookie jar over
+        multiple domains.
+        """
+        # support client code that unsets cookies by assignment of a None value:
+        if value is None:
+            remove_cookie_by_name(
+                self, name, domain=kwargs.get("domain"), path=kwargs.get("path")
+            )
+            return
+
+        if isinstance(value, Morsel):
+            c = morsel_to_cookie(value)
+        else:
+            c = create_cookie(name, value, **kwargs)
+        self.set_cookie(c)
+        return c
+
+    def iterkeys(self):
+        """Dict-like iterkeys() that returns an iterator of names of cookies
+        from the jar.
+
+        .. seealso:: itervalues() and iteritems().
+        """
+        for cookie in iter(self):
+            yield cookie.name
+
+    def keys(self):
+        """Dict-like keys() that returns a list of names of cookies from the
+        jar.
+
+        .. seealso:: values() and items().
+        """
+        return list(self.iterkeys())
+
+    def itervalues(self):
+        """Dict-like itervalues() that returns an iterator of values of cookies
+        from the jar.
+
+        .. seealso:: iterkeys() and iteritems().
+        """
+        for cookie in iter(self):
+            yield cookie.value
+
+    def values(self):
+        """Dict-like values() that returns a list of values of cookies from the
+        jar.
+
+        .. seealso:: keys() and items().
+        """
+        return list(self.itervalues())
+
+    def iteritems(self):
+        """Dict-like iteritems() that returns an iterator of name-value tuples
+        from the jar.
+
+        .. seealso:: iterkeys() and itervalues().
+        """
+        for cookie in iter(self):
+            yield cookie.name, cookie.value
+
+    def items(self):
+        """Dict-like items() that returns a list of name-value tuples from the
+        jar. Allows client-code to call ``dict(RequestsCookieJar)`` and get a
+        vanilla python dict of key value pairs.
+
+        .. seealso:: keys() and values().
+        """
+        return list(self.iteritems())
+
+    def list_domains(self):
+        """Utility method to list all the domains in the jar."""
+        domains = []
+        for cookie in iter(self):
+            if cookie.domain not in domains:
+                domains.append(cookie.domain)
+        return domains
+
+    def list_paths(self):
+        """Utility method to list all the paths in the jar."""
+        paths = []
+        for cookie in iter(self):
+            if cookie.path not in paths:
+                paths.append(cookie.path)
+        return paths
+
+    def multiple_domains(self):
+        """Returns True if there are multiple domains in the jar.
+        Returns False otherwise.
+
+        :rtype: bool
+        """
+        domains = []
+        for cookie in iter(self):
+            if cookie.domain is not None and cookie.domain in domains:
+                return True
+            domains.append(cookie.domain)
+        return False  # there is only one domain in jar
+
+    def get_dict(self, domain=None, path=None):
+        """Takes as an argument an optional domain and path and returns a plain
+        old Python dict of name-value pairs of cookies that meet the
+        requirements.
+
+        :rtype: dict
+        """
+        dictionary = {}
+        for cookie in iter(self):
+            if (domain is None or cookie.domain == domain) and (
+                path is None or cookie.path == path
+            ):
+                dictionary[cookie.name] = cookie.value
+        return dictionary
+
+    def __contains__(self, name):
+        try:
+            return super().__contains__(name)
+        except CookieConflictError:
+            return True
+
+    def __getitem__(self, name):
+        """Dict-like __getitem__() for compatibility with client code. Throws
+        exception if there are more than one cookie with name. In that case,
+        use the more explicit get() method instead.
+
+        .. warning:: operation is O(n), not O(1).
+        """
+        return self._find_no_duplicates(name)
+
+    def __setitem__(self, name, value):
+        """Dict-like __setitem__ for compatibility with client code. Throws
+        exception if there is already a cookie of that name in the jar. In that
+        case, use the more explicit set() method instead.
+        """
+        self.set(name, value)
+
+    def __delitem__(self, name):
+        """Deletes a cookie given a name. Wraps ``http.cookiejar.CookieJar``'s
+        ``remove_cookie_by_name()``.
+        """
+        remove_cookie_by_name(self, name)
+
+    def set_cookie(self, cookie, *args, **kwargs):
+        if (
+            hasattr(cookie.value, "startswith")
+            and cookie.value.startswith('"')
+            and cookie.value.endswith('"')
+        ):
+            cookie.value = cookie.value.replace('\\"', "")
+        return super().set_cookie(cookie, *args, **kwargs)
+
+    def update(self, other):
+        """Updates this jar with cookies from another CookieJar or dict-like"""
+        if isinstance(other, cookielib.CookieJar):
+            for cookie in other:
+                self.set_cookie(copy.copy(cookie))
+        else:
+            super().update(other)
+
+    def _find(self, name, domain=None, path=None):
+        """Requests uses this method internally to get cookie values.
+
+        If there are conflicting cookies, _find arbitrarily chooses one.
+        See _find_no_duplicates if you want an exception thrown if there are
+        conflicting cookies.
+
+        :param name: a string containing name of cookie
+        :param domain: (optional) string containing domain of cookie
+        :param path: (optional) string containing path of cookie
+        :return: cookie.value
+        """
+        for cookie in iter(self):
+            if cookie.name == name:
+                if domain is None or cookie.domain == domain:
+                    if path is None or cookie.path == path:
+                        return cookie.value
+
+        raise KeyError(f"name={name!r}, domain={domain!r}, path={path!r}")
+
+    def _find_no_duplicates(self, name, domain=None, path=None):
+        """Both ``__get_item__`` and ``get`` call this function: it's never
+        used elsewhere in Requests.
+
+        :param name: a string containing name of cookie
+        :param domain: (optional) string containing domain of cookie
+        :param path: (optional) string containing path of cookie
+        :raises KeyError: if cookie is not found
+        :raises CookieConflictError: if there are multiple cookies
+            that match name and optionally domain and path
+        :return: cookie.value
+        """
+        toReturn = None
+        for cookie in iter(self):
+            if cookie.name == name:
+                if domain is None or cookie.domain == domain:
+                    if path is None or cookie.path == path:
+                        if toReturn is not None:
+                            # if there are multiple cookies that meet passed in criteria
+                            raise CookieConflictError(
+                                f"There are multiple cookies with name, {name!r}"
+                            )
+                        # we will eventually return this as long as no cookie conflict
+                        toReturn = cookie.value
+
+        if toReturn:
+            return toReturn
+        raise KeyError(f"name={name!r}, domain={domain!r}, path={path!r}")
+
+    def __getstate__(self):
+        """Unlike a normal CookieJar, this class is pickleable."""
+        state = self.__dict__.copy()
+        # remove the unpickleable RLock object
+        state.pop("_cookies_lock")
+        return state
+
+    def __setstate__(self, state):
+        """Unlike a normal CookieJar, this class is pickleable."""
+        self.__dict__.update(state)
+        if "_cookies_lock" not in self.__dict__:
+            self._cookies_lock = threading.RLock()
+
+    def copy(self):
+        """Return a copy of this RequestsCookieJar."""
+        new_cj = RequestsCookieJar()
+        new_cj.set_policy(self.get_policy())
+        new_cj.update(self)
+        return new_cj
+
+    def get_policy(self):
+        """Return the CookiePolicy instance used."""
+        return self._policy
+
+
+def _copy_cookie_jar(jar):
+    if jar is None:
+        return None
+
+    if hasattr(jar, "copy"):
+        # We're dealing with an instance of RequestsCookieJar
+        return jar.copy()
+    # We're dealing with a generic CookieJar instance
+    new_jar = copy.copy(jar)
+    new_jar.clear()
+    for cookie in jar:
+        new_jar.set_cookie(copy.copy(cookie))
+    return new_jar
+
+
+def create_cookie(name, value, **kwargs):
+    """Make a cookie from underspecified parameters.
+
+    By default, the pair of `name` and `value` will be set for the domain ''
+    and sent on every request (this is sometimes called a "supercookie").
+    """
+    result = {
+        "version": 0,
+        "name": name,
+        "value": value,
+        "port": None,
+        "domain": "",
+        "path": "/",
+        "secure": False,
+        "expires": None,
+        "discard": True,
+        "comment": None,
+        "comment_url": None,
+        "rest": {"HttpOnly": None},
+        "rfc2109": False,
+    }
+
+    badargs = set(kwargs) - set(result)
+    if badargs:
+        raise TypeError(
+            f"create_cookie() got unexpected keyword arguments: {list(badargs)}"
+        )
+
+    result.update(kwargs)
+    result["port_specified"] = bool(result["port"])
+    result["domain_specified"] = bool(result["domain"])
+    result["domain_initial_dot"] = result["domain"].startswith(".")
+    result["path_specified"] = bool(result["path"])
+
+    return cookielib.Cookie(**result)
+
+
+def morsel_to_cookie(morsel):
+    """Convert a Morsel object into a Cookie containing the one k/v pair."""
+
+    expires = None
+    if morsel["max-age"]:
+        try:
+            expires = int(time.time() + int(morsel["max-age"]))
+        except ValueError:
+            raise TypeError(f"max-age: {morsel['max-age']} must be integer")
+    elif morsel["expires"]:
+        time_template = "%a, %d-%b-%Y %H:%M:%S GMT"
+        expires = calendar.timegm(time.strptime(morsel["expires"], time_template))
+    return create_cookie(
+        comment=morsel["comment"],
+        comment_url=bool(morsel["comment"]),
+        discard=False,
+        domain=morsel["domain"],
+        expires=expires,
+        name=morsel.key,
+        path=morsel["path"],
+        port=None,
+        rest={"HttpOnly": morsel["httponly"]},
+        rfc2109=False,
+        secure=bool(morsel["secure"]),
+        value=morsel.value,
+        version=morsel["version"] or 0,
+    )
+
+
+def cookiejar_from_dict(cookie_dict, cookiejar=None, overwrite=True):
+    """Returns a CookieJar from a key/value dictionary.
+
+    :param cookie_dict: Dict of key/values to insert into CookieJar.
+    :param cookiejar: (optional) A cookiejar to add the cookies to.
+    :param overwrite: (optional) If False, will not replace cookies
+        already in the jar with new ones.
+    :rtype: CookieJar
+    """
+    if cookiejar is None:
+        cookiejar = RequestsCookieJar()
+
+    if cookie_dict is not None:
+        names_from_jar = [cookie.name for cookie in cookiejar]
+        for name in cookie_dict:
+            if overwrite or (name not in names_from_jar):
+                cookiejar.set_cookie(create_cookie(name, cookie_dict[name]))
+
+    return cookiejar
+
+
+def merge_cookies(cookiejar, cookies):
+    """Add cookies to cookiejar and returns a merged CookieJar.
+
+    :param cookiejar: CookieJar object to add the cookies to.
+    :param cookies: Dictionary or CookieJar object to be added.
+    :rtype: CookieJar
+    """
+    if not isinstance(cookiejar, cookielib.CookieJar):
+        raise ValueError("You can only merge into CookieJar")
+
+    if isinstance(cookies, dict):
+        cookiejar = cookiejar_from_dict(cookies, cookiejar=cookiejar, overwrite=False)
+    elif isinstance(cookies, cookielib.CookieJar):
+        try:
+            cookiejar.update(cookies)
+        except AttributeError:
+            for cookie_in_jar in cookies:
+                cookiejar.set_cookie(cookie_in_jar)
+
+    return cookiejar

janus/lib/python3.10/site-packages/requests/models.py

@@ -0,0 +1,1037 @@
+"""
+requests.models
+~~~~~~~~~~~~~~~
+
+This module contains the primary objects that power Requests.
+"""
+
+import datetime
+
+# Import encoding now, to avoid implicit import later.
+# Implicit import within threads may cause LookupError when standard library is in a ZIP,
+# such as in Embedded Python. See https://github.com/psf/requests/issues/3578.
+import encodings.idna  # noqa: F401
+from io import UnsupportedOperation
+
+from urllib3.exceptions import (
+    DecodeError,
+    LocationParseError,
+    ProtocolError,
+    ReadTimeoutError,
+    SSLError,
+)
+from urllib3.fields import RequestField
+from urllib3.filepost import encode_multipart_formdata
+from urllib3.util import parse_url
+
+from ._internal_utils import to_native_string, unicode_is_ascii
+from .auth import HTTPBasicAuth
+from .compat import (
+    Callable,
+    JSONDecodeError,
+    Mapping,
+    basestring,
+    builtin_str,
+    chardet,
+    cookielib,
+)
+from .compat import json as complexjson
+from .compat import urlencode, urlsplit, urlunparse
+from .cookies import _copy_cookie_jar, cookiejar_from_dict, get_cookie_header
+from .exceptions import (
+    ChunkedEncodingError,
+    ConnectionError,
+    ContentDecodingError,
+    HTTPError,
+    InvalidJSONError,
+    InvalidURL,
+)
+from .exceptions import JSONDecodeError as RequestsJSONDecodeError
+from .exceptions import MissingSchema
+from .exceptions import SSLError as RequestsSSLError
+from .exceptions import StreamConsumedError
+from .hooks import default_hooks
+from .status_codes import codes
+from .structures import CaseInsensitiveDict
+from .utils import (
+    check_header_validity,
+    get_auth_from_url,
+    guess_filename,
+    guess_json_utf,
+    iter_slices,
+    parse_header_links,
+    requote_uri,
+    stream_decode_response_unicode,
+    super_len,
+    to_key_val_list,
+)
+
+#: The set of HTTP status codes that indicate an automatically
+#: processable redirect.
+REDIRECT_STATI = (
+    codes.moved,  # 301
+    codes.found,  # 302
+    codes.other,  # 303
+    codes.temporary_redirect,  # 307
+    codes.permanent_redirect,  # 308
+)
+
+DEFAULT_REDIRECT_LIMIT = 30
+CONTENT_CHUNK_SIZE = 10 * 1024
+ITER_CHUNK_SIZE = 512
+
+
+class RequestEncodingMixin:
+    @property
+    def path_url(self):
+        """Build the path URL to use."""
+
+        url = []
+
+        p = urlsplit(self.url)
+
+        path = p.path
+        if not path:
+            path = "/"
+
+        url.append(path)
+
+        query = p.query
+        if query:
+            url.append("?")
+            url.append(query)
+
+        return "".join(url)
+
+    @staticmethod
+    def _encode_params(data):
+        """Encode parameters in a piece of data.
+
+        Will successfully encode parameters when passed as a dict or a list of
+        2-tuples. Order is retained if data is a list of 2-tuples but arbitrary
+        if parameters are supplied as a dict.
+        """
+
+        if isinstance(data, (str, bytes)):
+            return data
+        elif hasattr(data, "read"):
+            return data
+        elif hasattr(data, "__iter__"):
+            result = []
+            for k, vs in to_key_val_list(data):
+                if isinstance(vs, basestring) or not hasattr(vs, "__iter__"):
+                    vs = [vs]
+                for v in vs:
+                    if v is not None:
+                        result.append(
+                            (
+                                k.encode("utf-8") if isinstance(k, str) else k,
+                                v.encode("utf-8") if isinstance(v, str) else v,
+                            )
+                        )
+            return urlencode(result, doseq=True)
+        else:
+            return data
+
+    @staticmethod
+    def _encode_files(files, data):
+        """Build the body for a multipart/form-data request.
+
+        Will successfully encode files when passed as a dict or a list of
+        tuples. Order is retained if data is a list of tuples but arbitrary
+        if parameters are supplied as a dict.
+        The tuples may be 2-tuples (filename, fileobj), 3-tuples (filename, fileobj, contentype)
+        or 4-tuples (filename, fileobj, contentype, custom_headers).
+        """
+        if not files:
+            raise ValueError("Files must be provided.")
+        elif isinstance(data, basestring):
+            raise ValueError("Data must not be a string.")
+
+        new_fields = []
+        fields = to_key_val_list(data or {})
+        files = to_key_val_list(files or {})
+
+        for field, val in fields:
+            if isinstance(val, basestring) or not hasattr(val, "__iter__"):
+                val = [val]
+            for v in val:
+                if v is not None:
+                    # Don't call str() on bytestrings: in Py3 it all goes wrong.
+                    if not isinstance(v, bytes):
+                        v = str(v)
+
+                    new_fields.append(
+                        (
+                            field.decode("utf-8")
+                            if isinstance(field, bytes)
+                            else field,
+                            v.encode("utf-8") if isinstance(v, str) else v,
+                        )
+                    )
+
+        for k, v in files:
+            # support for explicit filename
+            ft = None
+            fh = None
+            if isinstance(v, (tuple, list)):
+                if len(v) == 2:
+                    fn, fp = v
+                elif len(v) == 3:
+                    fn, fp, ft = v
+                else:
+                    fn, fp, ft, fh = v
+            else:
+                fn = guess_filename(v) or k
+                fp = v
+
+            if isinstance(fp, (str, bytes, bytearray)):
+                fdata = fp
+            elif hasattr(fp, "read"):
+                fdata = fp.read()
+            elif fp is None:
+                continue
+            else:
+                fdata = fp
+
+            rf = RequestField(name=k, data=fdata, filename=fn, headers=fh)
+            rf.make_multipart(content_type=ft)
+            new_fields.append(rf)
+
+        body, content_type = encode_multipart_formdata(new_fields)
+
+        return body, content_type
+
+
+class RequestHooksMixin:
+    def register_hook(self, event, hook):
+        """Properly register a hook."""
+
+        if event not in self.hooks:
+            raise ValueError(f'Unsupported event specified, with event name "{event}"')
+
+        if isinstance(hook, Callable):
+            self.hooks[event].append(hook)
+        elif hasattr(hook, "__iter__"):
+            self.hooks[event].extend(h for h in hook if isinstance(h, Callable))
+
+    def deregister_hook(self, event, hook):
+        """Deregister a previously registered hook.
+        Returns True if the hook existed, False if not.
+        """
+
+        try:
+            self.hooks[event].remove(hook)
+            return True
+        except ValueError:
+            return False
+
+
+class Request(RequestHooksMixin):
+    """A user-created :class:`Request <Request>` object.
+
+    Used to prepare a :class:`PreparedRequest <PreparedRequest>`, which is sent to the server.
+
+    :param method: HTTP method to use.
+    :param url: URL to send.
+    :param headers: dictionary of headers to send.
+    :param files: dictionary of {filename: fileobject} files to multipart upload.
+    :param data: the body to attach to the request. If a dictionary or
+        list of tuples ``[(key, value)]`` is provided, form-encoding will
+        take place.
+    :param json: json for the body to attach to the request (if files or data is not specified).
+    :param params: URL parameters to append to the URL. If a dictionary or
+        list of tuples ``[(key, value)]`` is provided, form-encoding will
+        take place.
+    :param auth: Auth handler or (user, pass) tuple.
+    :param cookies: dictionary or CookieJar of cookies to attach to this request.
+    :param hooks: dictionary of callback hooks, for internal usage.
+
+    Usage::
+
+      >>> import requests
+      >>> req = requests.Request('GET', 'https://httpbin.org/get')
+      >>> req.prepare()
+      <PreparedRequest [GET]>
+    """
+
+    def __init__(
+        self,
+        method=None,
+        url=None,
+        headers=None,
+        files=None,
+        data=None,
+        params=None,
+        auth=None,
+        cookies=None,
+        hooks=None,
+        json=None,
+    ):
+        # Default empty dicts for dict params.
+        data = [] if data is None else data
+        files = [] if files is None else files
+        headers = {} if headers is None else headers
+        params = {} if params is None else params
+        hooks = {} if hooks is None else hooks
+
+        self.hooks = default_hooks()
+        for k, v in list(hooks.items()):
+            self.register_hook(event=k, hook=v)
+
+        self.method = method
+        self.url = url
+        self.headers = headers
+        self.files = files
+        self.data = data
+        self.json = json
+        self.params = params
+        self.auth = auth
+        self.cookies = cookies
+
+    def __repr__(self):
+        return f"<Request [{self.method}]>"
+
+    def prepare(self):
+        """Constructs a :class:`PreparedRequest <PreparedRequest>` for transmission and returns it."""
+        p = PreparedRequest()
+        p.prepare(
+            method=self.method,
+            url=self.url,
+            headers=self.headers,
+            files=self.files,
+            data=self.data,
+            json=self.json,
+            params=self.params,
+            auth=self.auth,
+            cookies=self.cookies,
+            hooks=self.hooks,
+        )
+        return p
+
+
+class PreparedRequest(RequestEncodingMixin, RequestHooksMixin):
+    """The fully mutable :class:`PreparedRequest <PreparedRequest>` object,
+    containing the exact bytes that will be sent to the server.
+
+    Instances are generated from a :class:`Request <Request>` object, and
+    should not be instantiated manually; doing so may produce undesirable
+    effects.
+
+    Usage::
+
+      >>> import requests
+      >>> req = requests.Request('GET', 'https://httpbin.org/get')
+      >>> r = req.prepare()
+      >>> r
+      <PreparedRequest [GET]>
+
+      >>> s = requests.Session()
+      >>> s.send(r)
+      <Response [200]>
+    """
+
+    def __init__(self):
+        #: HTTP verb to send to the server.
+        self.method = None
+        #: HTTP URL to send the request to.
+        self.url = None
+        #: dictionary of HTTP headers.
+        self.headers = None
+        # The `CookieJar` used to create the Cookie header will be stored here
+        # after prepare_cookies is called
+        self._cookies = None
+        #: request body to send to the server.
+        self.body = None
+        #: dictionary of callback hooks, for internal usage.
+        self.hooks = default_hooks()
+        #: integer denoting starting position of a readable file-like body.
+        self._body_position = None
+
+    def prepare(
+        self,
+        method=None,
+        url=None,
+        headers=None,
+        files=None,
+        data=None,
+        params=None,
+        auth=None,
+        cookies=None,
+        hooks=None,
+        json=None,
+    ):
+        """Prepares the entire request with the given parameters."""
+
+        self.prepare_method(method)
+        self.prepare_url(url, params)
+        self.prepare_headers(headers)
+        self.prepare_cookies(cookies)
+        self.prepare_body(data, files, json)
+        self.prepare_auth(auth, url)
+
+        # Note that prepare_auth must be last to enable authentication schemes
+        # such as OAuth to work on a fully prepared request.
+
+        # This MUST go after prepare_auth. Authenticators could add a hook
+        self.prepare_hooks(hooks)
+
+    def __repr__(self):
+        return f"<PreparedRequest [{self.method}]>"
+
+    def copy(self):
+        p = PreparedRequest()
+        p.method = self.method
+        p.url = self.url
+        p.headers = self.headers.copy() if self.headers is not None else None
+        p._cookies = _copy_cookie_jar(self._cookies)
+        p.body = self.body
+        p.hooks = self.hooks
+        p._body_position = self._body_position
+        return p
+
+    def prepare_method(self, method):
+        """Prepares the given HTTP method."""
+        self.method = method
+        if self.method is not None:
+            self.method = to_native_string(self.method.upper())
+
+    @staticmethod
+    def _get_idna_encoded_host(host):
+        import idna
+
+        try:
+            host = idna.encode(host, uts46=True).decode("utf-8")
+        except idna.IDNAError:
+            raise UnicodeError
+        return host
+
+    def prepare_url(self, url, params):
+        """Prepares the given HTTP URL."""
+        #: Accept objects that have string representations.
+        #: We're unable to blindly call unicode/str functions
+        #: as this will include the bytestring indicator (b'')
+        #: on python 3.x.
+        #: https://github.com/psf/requests/pull/2238
+        if isinstance(url, bytes):
+            url = url.decode("utf8")
+        else:
+            url = str(url)
+
+        # Remove leading whitespaces from url
+        url = url.lstrip()
+
+        # Don't do any URL preparation for non-HTTP schemes like `mailto`,
+        # `data` etc to work around exceptions from `url_parse`, which
+        # handles RFC 3986 only.
+        if ":" in url and not url.lower().startswith("http"):
+            self.url = url
+            return
+
+        # Support for unicode domain names and paths.
+        try:
+            scheme, auth, host, port, path, query, fragment = parse_url(url)
+        except LocationParseError as e:
+            raise InvalidURL(*e.args)
+
+        if not scheme:
+            raise MissingSchema(
+                f"Invalid URL {url!r}: No scheme supplied. "
+                f"Perhaps you meant https://{url}?"
+            )
+
+        if not host:
+            raise InvalidURL(f"Invalid URL {url!r}: No host supplied")
+
+        # In general, we want to try IDNA encoding the hostname if the string contains
+        # non-ASCII characters. This allows users to automatically get the correct IDNA
+        # behaviour. For strings containing only ASCII characters, we need to also verify
+        # it doesn't start with a wildcard (*), before allowing the unencoded hostname.
+        if not unicode_is_ascii(host):
+            try:
+                host = self._get_idna_encoded_host(host)
+            except UnicodeError:
+                raise InvalidURL("URL has an invalid label.")
+        elif host.startswith(("*", ".")):
+            raise InvalidURL("URL has an invalid label.")
+
+        # Carefully reconstruct the network location
+        netloc = auth or ""
+        if netloc:
+            netloc += "@"
+        netloc += host
+        if port:
+            netloc += f":{port}"
+
+        # Bare domains aren't valid URLs.
+        if not path:
+            path = "/"
+
+        if isinstance(params, (str, bytes)):
+            params = to_native_string(params)
+
+        enc_params = self._encode_params(params)
+        if enc_params:
+            if query:
+                query = f"{query}&{enc_params}"
+            else:
+                query = enc_params
+
+        url = requote_uri(urlunparse([scheme, netloc, path, None, query, fragment]))
+        self.url = url
+
+    def prepare_headers(self, headers):
+        """Prepares the given HTTP headers."""
+
+        self.headers = CaseInsensitiveDict()
+        if headers:
+            for header in headers.items():
+                # Raise exception on invalid header value.
+                check_header_validity(header)
+                name, value = header
+                self.headers[to_native_string(name)] = value
+
+    def prepare_body(self, data, files, json=None):
+        """Prepares the given HTTP body data."""
+
+        # Check if file, fo, generator, iterator.
+        # If not, run through normal process.
+
+        # Nottin' on you.
+        body = None
+        content_type = None
+
+        if not data and json is not None:
+            # urllib3 requires a bytes-like body. Python 2's json.dumps
+            # provides this natively, but Python 3 gives a Unicode string.
+            content_type = "application/json"
+
+            try:
+                body = complexjson.dumps(json, allow_nan=False)
+            except ValueError as ve:
+                raise InvalidJSONError(ve, request=self)
+
+            if not isinstance(body, bytes):
+                body = body.encode("utf-8")
+
+        is_stream = all(
+            [
+                hasattr(data, "__iter__"),
+                not isinstance(data, (basestring, list, tuple, Mapping)),
+            ]
+        )
+
+        if is_stream:
+            try:
+                length = super_len(data)
+            except (TypeError, AttributeError, UnsupportedOperation):
+                length = None
+
+            body = data
+
+            if getattr(body, "tell", None) is not None:
+                # Record the current file position before reading.
+                # This will allow us to rewind a file in the event
+                # of a redirect.
+                try:
+                    self._body_position = body.tell()
+                except OSError:
+                    # This differentiates from None, allowing us to catch
+                    # a failed `tell()` later when trying to rewind the body
+                    self._body_position = object()
+
+            if files:
+                raise NotImplementedError(
+                    "Streamed bodies and files are mutually exclusive."
+                )
+
+            if length:
+                self.headers["Content-Length"] = builtin_str(length)
+            else:
+                self.headers["Transfer-Encoding"] = "chunked"
+        else:
+            # Multi-part file uploads.
+            if files:
+                (body, content_type) = self._encode_files(files, data)
+            else:
+                if data:
+                    body = self._encode_params(data)
+                    if isinstance(data, basestring) or hasattr(data, "read"):
+                        content_type = None
+                    else:
+                        content_type = "application/x-www-form-urlencoded"
+
+            self.prepare_content_length(body)
+
+            # Add content-type if it wasn't explicitly provided.
+            if content_type and ("content-type" not in self.headers):
+                self.headers["Content-Type"] = content_type
+
+        self.body = body
+
+    def prepare_content_length(self, body):
+        """Prepare Content-Length header based on request method and body"""
+        if body is not None:
+            length = super_len(body)
+            if length:
+                # If length exists, set it. Otherwise, we fallback
+                # to Transfer-Encoding: chunked.
+                self.headers["Content-Length"] = builtin_str(length)
+        elif (
+            self.method not in ("GET", "HEAD")
+            and self.headers.get("Content-Length") is None
+        ):
+            # Set Content-Length to 0 for methods that can have a body
+            # but don't provide one. (i.e. not GET or HEAD)
+            self.headers["Content-Length"] = "0"
+
+    def prepare_auth(self, auth, url=""):
+        """Prepares the given HTTP auth data."""
+
+        # If no Auth is explicitly provided, extract it from the URL first.
+        if auth is None:
+            url_auth = get_auth_from_url(self.url)
+            auth = url_auth if any(url_auth) else None
+
+        if auth:
+            if isinstance(auth, tuple) and len(auth) == 2:
+                # special-case basic HTTP auth
+                auth = HTTPBasicAuth(*auth)
+
+            # Allow auth to make its changes.
+            r = auth(self)
+
+            # Update self to reflect the auth changes.
+            self.__dict__.update(r.__dict__)
+
+            # Recompute Content-Length
+            self.prepare_content_length(self.body)
+
+    def prepare_cookies(self, cookies):
+        """Prepares the given HTTP cookie data.
+
+        This function eventually generates a ``Cookie`` header from the
+        given cookies using cookielib. Due to cookielib's design, the header
+        will not be regenerated if it already exists, meaning this function
+        can only be called once for the life of the
+        :class:`PreparedRequest <PreparedRequest>` object. Any subsequent calls
+        to ``prepare_cookies`` will have no actual effect, unless the "Cookie"
+        header is removed beforehand.
+        """
+        if isinstance(cookies, cookielib.CookieJar):
+            self._cookies = cookies
+        else:
+            self._cookies = cookiejar_from_dict(cookies)
+
+        cookie_header = get_cookie_header(self._cookies, self)
+        if cookie_header is not None:
+            self.headers["Cookie"] = cookie_header
+
+    def prepare_hooks(self, hooks):
+        """Prepares the given hooks."""
+        # hooks can be passed as None to the prepare method and to this
+        # method. To prevent iterating over None, simply use an empty list
+        # if hooks is False-y
+        hooks = hooks or []
+        for event in hooks:
+            self.register_hook(event, hooks[event])
+
+
+class Response:
+    """The :class:`Response <Response>` object, which contains a
+    server's response to an HTTP request.
+    """
+
+    __attrs__ = [
+        "_content",
+        "status_code",
+        "headers",
+        "url",
+        "history",
+        "encoding",
+        "reason",
+        "cookies",
+        "elapsed",
+        "request",
+    ]
+
+    def __init__(self):
+        self._content = False
+        self._content_consumed = False
+        self._next = None
+
+        #: Integer Code of responded HTTP Status, e.g. 404 or 200.
+        self.status_code = None
+
+        #: Case-insensitive Dictionary of Response Headers.
+        #: For example, ``headers['content-encoding']`` will return the
+        #: value of a ``'Content-Encoding'`` response header.
+        self.headers = CaseInsensitiveDict()
+
+        #: File-like object representation of response (for advanced usage).
+        #: Use of ``raw`` requires that ``stream=True`` be set on the request.
+        #: This requirement does not apply for use internally to Requests.
+        self.raw = None
+
+        #: Final URL location of Response.
+        self.url = None
+
+        #: Encoding to decode with when accessing r.text.
+        self.encoding = None
+
+        #: A list of :class:`Response <Response>` objects from
+        #: the history of the Request. Any redirect responses will end
+        #: up here. The list is sorted from the oldest to the most recent request.
+        self.history = []
+
+        #: Textual reason of responded HTTP Status, e.g. "Not Found" or "OK".
+        self.reason = None
+
+        #: A CookieJar of Cookies the server sent back.
+        self.cookies = cookiejar_from_dict({})
+
+        #: The amount of time elapsed between sending the request
+        #: and the arrival of the response (as a timedelta).
+        #: This property specifically measures the time taken between sending
+        #: the first byte of the request and finishing parsing the headers. It
+        #: is therefore unaffected by consuming the response content or the
+        #: value of the ``stream`` keyword argument.
+        self.elapsed = datetime.timedelta(0)
+
+        #: The :class:`PreparedRequest <PreparedRequest>` object to which this
+        #: is a response.
+        self.request = None
+
+    def __enter__(self):
+        return self
+
+    def __exit__(self, *args):
+        self.close()
+
+    def __getstate__(self):
+        # Consume everything; accessing the content attribute makes
+        # sure the content has been fully read.
+        if not self._content_consumed:
+            self.content
+
+        return {attr: getattr(self, attr, None) for attr in self.__attrs__}
+
+    def __setstate__(self, state):
+        for name, value in state.items():
+            setattr(self, name, value)
+
+        # pickled objects do not have .raw
+        setattr(self, "_content_consumed", True)
+        setattr(self, "raw", None)
+
+    def __repr__(self):
+        return f"<Response [{self.status_code}]>"
+
+    def __bool__(self):
+        """Returns True if :attr:`status_code` is less than 400.
+
+        This attribute checks if the status code of the response is between
+        400 and 600 to see if there was a client error or a server error. If
+        the status code, is between 200 and 400, this will return True. This
+        is **not** a check to see if the response code is ``200 OK``.
+        """
+        return self.ok
+
+    def __nonzero__(self):
+        """Returns True if :attr:`status_code` is less than 400.
+
+        This attribute checks if the status code of the response is between
+        400 and 600 to see if there was a client error or a server error. If
+        the status code, is between 200 and 400, this will return True. This
+        is **not** a check to see if the response code is ``200 OK``.
+        """
+        return self.ok
+
+    def __iter__(self):
+        """Allows you to use a response as an iterator."""
+        return self.iter_content(128)
+
+    @property
+    def ok(self):
+        """Returns True if :attr:`status_code` is less than 400, False if not.
+
+        This attribute checks if the status code of the response is between
+        400 and 600 to see if there was a client error or a server error. If
+        the status code is between 200 and 400, this will return True. This
+        is **not** a check to see if the response code is ``200 OK``.
+        """
+        try:
+            self.raise_for_status()
+        except HTTPError:
+            return False
+        return True
+
+    @property
+    def is_redirect(self):
+        """True if this Response is a well-formed HTTP redirect that could have
+        been processed automatically (by :meth:`Session.resolve_redirects`).
+        """
+        return "location" in self.headers and self.status_code in REDIRECT_STATI
+
+    @property
+    def is_permanent_redirect(self):
+        """True if this Response one of the permanent versions of redirect."""
+        return "location" in self.headers and self.status_code in (
+            codes.moved_permanently,
+            codes.permanent_redirect,
+        )
+
+    @property
+    def next(self):
+        """Returns a PreparedRequest for the next request in a redirect chain, if there is one."""
+        return self._next
+
+    @property
+    def apparent_encoding(self):
+        """The apparent encoding, provided by the charset_normalizer or chardet libraries."""
+        if chardet is not None:
+            return chardet.detect(self.content)["encoding"]
+        else:
+            # If no character detection library is available, we'll fall back
+            # to a standard Python utf-8 str.
+            return "utf-8"
+
+    def iter_content(self, chunk_size=1, decode_unicode=False):
+        """Iterates over the response data.  When stream=True is set on the
+        request, this avoids reading the content at once into memory for
+        large responses.  The chunk size is the number of bytes it should
+        read into memory.  This is not necessarily the length of each item
+        returned as decoding can take place.
+
+        chunk_size must be of type int or None. A value of None will
+        function differently depending on the value of `stream`.
+        stream=True will read data as it arrives in whatever size the
+        chunks are received. If stream=False, data is returned as
+        a single chunk.
+
+        If decode_unicode is True, content will be decoded using the best
+        available encoding based on the response.
+        """
+
+        def generate():
+            # Special case for urllib3.
+            if hasattr(self.raw, "stream"):
+                try:
+                    yield from self.raw.stream(chunk_size, decode_content=True)
+                except ProtocolError as e:
+                    raise ChunkedEncodingError(e)
+                except DecodeError as e:
+                    raise ContentDecodingError(e)
+                except ReadTimeoutError as e:
+                    raise ConnectionError(e)
+                except SSLError as e:
+                    raise RequestsSSLError(e)
+            else:
+                # Standard file-like object.
+                while True:
+                    chunk = self.raw.read(chunk_size)
+                    if not chunk:
+                        break
+                    yield chunk
+
+            self._content_consumed = True
+
+        if self._content_consumed and isinstance(self._content, bool):
+            raise StreamConsumedError()
+        elif chunk_size is not None and not isinstance(chunk_size, int):
+            raise TypeError(
+                f"chunk_size must be an int, it is instead a {type(chunk_size)}."
+            )
+        # simulate reading small chunks of the content
+        reused_chunks = iter_slices(self._content, chunk_size)
+
+        stream_chunks = generate()
+
+        chunks = reused_chunks if self._content_consumed else stream_chunks
+
+        if decode_unicode:
+            chunks = stream_decode_response_unicode(chunks, self)
+
+        return chunks
+
+    def iter_lines(
+        self, chunk_size=ITER_CHUNK_SIZE, decode_unicode=False, delimiter=None
+    ):
+        """Iterates over the response data, one line at a time.  When
+        stream=True is set on the request, this avoids reading the
+        content at once into memory for large responses.
+
+        .. note:: This method is not reentrant safe.
+        """
+
+        pending = None
+
+        for chunk in self.iter_content(
+            chunk_size=chunk_size, decode_unicode=decode_unicode
+        ):
+            if pending is not None:
+                chunk = pending + chunk
+
+            if delimiter:
+                lines = chunk.split(delimiter)
+            else:
+                lines = chunk.splitlines()
+
+            if lines and lines[-1] and chunk and lines[-1][-1] == chunk[-1]:
+                pending = lines.pop()
+            else:
+                pending = None
+
+            yield from lines
+
+        if pending is not None:
+            yield pending
+
+    @property
+    def content(self):
+        """Content of the response, in bytes."""
+
+        if self._content is False:
+            # Read the contents.
+            if self._content_consumed:
+                raise RuntimeError("The content for this response was already consumed")
+
+            if self.status_code == 0 or self.raw is None:
+                self._content = None
+            else:
+                self._content = b"".join(self.iter_content(CONTENT_CHUNK_SIZE)) or b""
+
+        self._content_consumed = True
+        # don't need to release the connection; that's been handled by urllib3
+        # since we exhausted the data.
+        return self._content
+
+    @property
+    def text(self):
+        """Content of the response, in unicode.
+
+        If Response.encoding is None, encoding will be guessed using
+        ``charset_normalizer`` or ``chardet``.
+
+        The encoding of the response content is determined based solely on HTTP
+        headers, following RFC 2616 to the letter. If you can take advantage of
+        non-HTTP knowledge to make a better guess at the encoding, you should
+        set ``r.encoding`` appropriately before accessing this property.
+        """
+
+        # Try charset from content-type
+        content = None
+        encoding = self.encoding
+
+        if not self.content:
+            return ""
+
+        # Fallback to auto-detected encoding.
+        if self.encoding is None:
+            encoding = self.apparent_encoding
+
+        # Decode unicode from given encoding.
+        try:
+            content = str(self.content, encoding, errors="replace")
+        except (LookupError, TypeError):
+            # A LookupError is raised if the encoding was not found which could
+            # indicate a misspelling or similar mistake.
+            #
+            # A TypeError can be raised if encoding is None
+            #
+            # So we try blindly encoding.
+            content = str(self.content, errors="replace")
+
+        return content
+
+    def json(self, **kwargs):
+        r"""Returns the json-encoded content of a response, if any.
+
+        :param \*\*kwargs: Optional arguments that ``json.loads`` takes.
+        :raises requests.exceptions.JSONDecodeError: If the response body does not
+            contain valid json.
+        """
+
+        if not self.encoding and self.content and len(self.content) > 3:
+            # No encoding set. JSON RFC 4627 section 3 states we should expect
+            # UTF-8, -16 or -32. Detect which one to use; If the detection or
+            # decoding fails, fall back to `self.text` (using charset_normalizer to make
+            # a best guess).
+            encoding = guess_json_utf(self.content)
+            if encoding is not None:
+                try:
+                    return complexjson.loads(self.content.decode(encoding), **kwargs)
+                except UnicodeDecodeError:
+                    # Wrong UTF codec detected; usually because it's not UTF-8
+                    # but some other 8-bit codec.  This is an RFC violation,
+                    # and the server didn't bother to tell us what codec *was*
+                    # used.
+                    pass
+                except JSONDecodeError as e:
+                    raise RequestsJSONDecodeError(e.msg, e.doc, e.pos)
+
+        try:
+            return complexjson.loads(self.text, **kwargs)
+        except JSONDecodeError as e:
+            # Catch JSON-related errors and raise as requests.JSONDecodeError
+            # This aliases json.JSONDecodeError and simplejson.JSONDecodeError
+            raise RequestsJSONDecodeError(e.msg, e.doc, e.pos)
+
+    @property
+    def links(self):
+        """Returns the parsed header links of the response, if any."""
+
+        header = self.headers.get("link")
+
+        resolved_links = {}
+
+        if header:
+            links = parse_header_links(header)
+
+            for link in links:
+                key = link.get("rel") or link.get("url")
+                resolved_links[key] = link
+
+        return resolved_links
+
+    def raise_for_status(self):
+        """Raises :class:`HTTPError`, if one occurred."""
+
+        http_error_msg = ""
+        if isinstance(self.reason, bytes):
+            # We attempt to decode utf-8 first because some servers
+            # choose to localize their reason strings. If the string
+            # isn't utf-8, we fall back to iso-8859-1 for all other
+            # encodings. (See PR #3538)
+            try:
+                reason = self.reason.decode("utf-8")
+            except UnicodeDecodeError:
+                reason = self.reason.decode("iso-8859-1")
+        else:
+            reason = self.reason
+
+        if 400 <= self.status_code < 500:
+            http_error_msg = (
+                f"{self.status_code} Client Error: {reason} for url: {self.url}"
+            )
+
+        elif 500 <= self.status_code < 600:
+            http_error_msg = (
+                f"{self.status_code} Server Error: {reason} for url: {self.url}"
+            )
+
+        if http_error_msg:
+            raise HTTPError(http_error_msg, response=self)
+
+    def close(self):
+        """Releases the connection back to the pool. Once this method has been
+        called the underlying ``raw`` object must not be accessed again.
+
+        *Note: Should not normally need to be called explicitly.*
+        """
+        if not self._content_consumed:
+            self.raw.close()
+
+        release_conn = getattr(self.raw, "release_conn", None)
+        if release_conn is not None:
+            release_conn()

janus/lib/python3.10/site-packages/requests/status_codes.py

@@ -0,0 +1,128 @@
+r"""
+The ``codes`` object defines a mapping from common names for HTTP statuses
+to their numerical codes, accessible either as attributes or as dictionary
+items.
+
+Example::
+
+    >>> import requests
+    >>> requests.codes['temporary_redirect']
+    307
+    >>> requests.codes.teapot
+    418
+    >>> requests.codes['\o/']
+    200
+
+Some codes have multiple names, and both upper- and lower-case versions of
+the names are allowed. For example, ``codes.ok``, ``codes.OK``, and
+``codes.okay`` all correspond to the HTTP status code 200.
+"""
+
+from .structures import LookupDict
+
+_codes = {
+    # Informational.
+    100: ("continue",),
+    101: ("switching_protocols",),
+    102: ("processing", "early-hints"),
+    103: ("checkpoint",),
+    122: ("uri_too_long", "request_uri_too_long"),
+    200: ("ok", "okay", "all_ok", "all_okay", "all_good", "\\o/", "✓"),
+    201: ("created",),
+    202: ("accepted",),
+    203: ("non_authoritative_info", "non_authoritative_information"),
+    204: ("no_content",),
+    205: ("reset_content", "reset"),
+    206: ("partial_content", "partial"),
+    207: ("multi_status", "multiple_status", "multi_stati", "multiple_stati"),
+    208: ("already_reported",),
+    226: ("im_used",),
+    # Redirection.
+    300: ("multiple_choices",),
+    301: ("moved_permanently", "moved", "\\o-"),
+    302: ("found",),
+    303: ("see_other", "other"),
+    304: ("not_modified",),
+    305: ("use_proxy",),
+    306: ("switch_proxy",),
+    307: ("temporary_redirect", "temporary_moved", "temporary"),
+    308: (
+        "permanent_redirect",
+        "resume_incomplete",
+        "resume",
+    ),  # "resume" and "resume_incomplete" to be removed in 3.0
+    # Client Error.
+    400: ("bad_request", "bad"),
+    401: ("unauthorized",),
+    402: ("payment_required", "payment"),
+    403: ("forbidden",),
+    404: ("not_found", "-o-"),
+    405: ("method_not_allowed", "not_allowed"),
+    406: ("not_acceptable",),
+    407: ("proxy_authentication_required", "proxy_auth", "proxy_authentication"),
+    408: ("request_timeout", "timeout"),
+    409: ("conflict",),
+    410: ("gone",),
+    411: ("length_required",),
+    412: ("precondition_failed", "precondition"),
+    413: ("request_entity_too_large", "content_too_large"),
+    414: ("request_uri_too_large", "uri_too_long"),
+    415: ("unsupported_media_type", "unsupported_media", "media_type"),
+    416: (
+        "requested_range_not_satisfiable",
+        "requested_range",
+        "range_not_satisfiable",
+    ),
+    417: ("expectation_failed",),
+    418: ("im_a_teapot", "teapot", "i_am_a_teapot"),
+    421: ("misdirected_request",),
+    422: ("unprocessable_entity", "unprocessable", "unprocessable_content"),
+    423: ("locked",),
+    424: ("failed_dependency", "dependency"),
+    425: ("unordered_collection", "unordered", "too_early"),
+    426: ("upgrade_required", "upgrade"),
+    428: ("precondition_required", "precondition"),
+    429: ("too_many_requests", "too_many"),
+    431: ("header_fields_too_large", "fields_too_large"),
+    444: ("no_response", "none"),
+    449: ("retry_with", "retry"),
+    450: ("blocked_by_windows_parental_controls", "parental_controls"),
+    451: ("unavailable_for_legal_reasons", "legal_reasons"),
+    499: ("client_closed_request",),
+    # Server Error.
+    500: ("internal_server_error", "server_error", "/o\\", "✗"),
+    501: ("not_implemented",),
+    502: ("bad_gateway",),
+    503: ("service_unavailable", "unavailable"),
+    504: ("gateway_timeout",),
+    505: ("http_version_not_supported", "http_version"),
+    506: ("variant_also_negotiates",),
+    507: ("insufficient_storage",),
+    509: ("bandwidth_limit_exceeded", "bandwidth"),
+    510: ("not_extended",),
+    511: ("network_authentication_required", "network_auth", "network_authentication"),
+}
+
+codes = LookupDict(name="status_codes")
+
+
+def _init():
+    for code, titles in _codes.items():
+        for title in titles:
+            setattr(codes, title, code)
+            if not title.startswith(("\\", "/")):
+                setattr(codes, title.upper(), code)
+
+    def doc(code):
+        names = ", ".join(f"``{n}``" for n in _codes[code])
+        return "* %d: %s" % (code, names)
+
+    global __doc__
+    __doc__ = (
+        __doc__ + "\n" + "\n".join(doc(code) for code in sorted(_codes))
+        if __doc__ is not None
+        else None
+    )
+
+
+_init()

janus/lib/python3.10/site-packages/requests/utils.py

@@ -0,0 +1,1096 @@
+"""
+requests.utils
+~~~~~~~~~~~~~~
+
+This module provides utility functions that are used within Requests
+that are also useful for external consumption.
+"""
+
+import codecs
+import contextlib
+import io
+import os
+import re
+import socket
+import struct
+import sys
+import tempfile
+import warnings
+import zipfile
+from collections import OrderedDict
+
+from urllib3.util import make_headers, parse_url
+
+from . import certs
+from .__version__ import __version__
+
+# to_native_string is unused here, but imported here for backwards compatibility
+from ._internal_utils import (  # noqa: F401
+    _HEADER_VALIDATORS_BYTE,
+    _HEADER_VALIDATORS_STR,
+    HEADER_VALIDATORS,
+    to_native_string,
+)
+from .compat import (
+    Mapping,
+    basestring,
+    bytes,
+    getproxies,
+    getproxies_environment,
+    integer_types,
+)
+from .compat import parse_http_list as _parse_list_header
+from .compat import (
+    proxy_bypass,
+    proxy_bypass_environment,
+    quote,
+    str,
+    unquote,
+    urlparse,
+    urlunparse,
+)
+from .cookies import cookiejar_from_dict
+from .exceptions import (
+    FileModeWarning,
+    InvalidHeader,
+    InvalidURL,
+    UnrewindableBodyError,
+)
+from .structures import CaseInsensitiveDict
+
+NETRC_FILES = (".netrc", "_netrc")
+
+DEFAULT_CA_BUNDLE_PATH = certs.where()
+
+DEFAULT_PORTS = {"http": 80, "https": 443}
+
+# Ensure that ', ' is used to preserve previous delimiter behavior.
+DEFAULT_ACCEPT_ENCODING = ", ".join(
+    re.split(r",\s*", make_headers(accept_encoding=True)["accept-encoding"])
+)
+
+
+if sys.platform == "win32":
+    # provide a proxy_bypass version on Windows without DNS lookups
+
+    def proxy_bypass_registry(host):
+        try:
+            import winreg
+        except ImportError:
+            return False
+
+        try:
+            internetSettings = winreg.OpenKey(
+                winreg.HKEY_CURRENT_USER,
+                r"Software\Microsoft\Windows\CurrentVersion\Internet Settings",
+            )
+            # ProxyEnable could be REG_SZ or REG_DWORD, normalizing it
+            proxyEnable = int(winreg.QueryValueEx(internetSettings, "ProxyEnable")[0])
+            # ProxyOverride is almost always a string
+            proxyOverride = winreg.QueryValueEx(internetSettings, "ProxyOverride")[0]
+        except (OSError, ValueError):
+            return False
+        if not proxyEnable or not proxyOverride:
+            return False
+
+        # make a check value list from the registry entry: replace the
+        # '<local>' string by the localhost entry and the corresponding
+        # canonical entry.
+        proxyOverride = proxyOverride.split(";")
+        # filter out empty strings to avoid re.match return true in the following code.
+        proxyOverride = filter(None, proxyOverride)
+        # now check if we match one of the registry values.
+        for test in proxyOverride:
+            if test == "<local>":
+                if "." not in host:
+                    return True
+            test = test.replace(".", r"\.")  # mask dots
+            test = test.replace("*", r".*")  # change glob sequence
+            test = test.replace("?", r".")  # change glob char
+            if re.match(test, host, re.I):
+                return True
+        return False
+
+    def proxy_bypass(host):  # noqa
+        """Return True, if the host should be bypassed.
+
+        Checks proxy settings gathered from the environment, if specified,
+        or the registry.
+        """
+        if getproxies_environment():
+            return proxy_bypass_environment(host)
+        else:
+            return proxy_bypass_registry(host)
+
+
+def dict_to_sequence(d):
+    """Returns an internal sequence dictionary update."""
+
+    if hasattr(d, "items"):
+        d = d.items()
+
+    return d
+
+
+def super_len(o):
+    total_length = None
+    current_position = 0
+
+    if isinstance(o, str):
+        o = o.encode("utf-8")
+
+    if hasattr(o, "__len__"):
+        total_length = len(o)
+
+    elif hasattr(o, "len"):
+        total_length = o.len
+
+    elif hasattr(o, "fileno"):
+        try:
+            fileno = o.fileno()
+        except (io.UnsupportedOperation, AttributeError):
+            # AttributeError is a surprising exception, seeing as how we've just checked
+            # that `hasattr(o, 'fileno')`.  It happens for objects obtained via
+            # `Tarfile.extractfile()`, per issue 5229.
+            pass
+        else:
+            total_length = os.fstat(fileno).st_size
+
+            # Having used fstat to determine the file length, we need to
+            # confirm that this file was opened up in binary mode.
+            if "b" not in o.mode:
+                warnings.warn(
+                    (
+                        "Requests has determined the content-length for this "
+                        "request using the binary size of the file: however, the "
+                        "file has been opened in text mode (i.e. without the 'b' "
+                        "flag in the mode). This may lead to an incorrect "
+                        "content-length. In Requests 3.0, support will be removed "
+                        "for files in text mode."
+                    ),
+                    FileModeWarning,
+                )
+
+    if hasattr(o, "tell"):
+        try:
+            current_position = o.tell()
+        except OSError:
+            # This can happen in some weird situations, such as when the file
+            # is actually a special file descriptor like stdin. In this
+            # instance, we don't know what the length is, so set it to zero and
+            # let requests chunk it instead.
+            if total_length is not None:
+                current_position = total_length
+        else:
+            if hasattr(o, "seek") and total_length is None:
+                # StringIO and BytesIO have seek but no usable fileno
+                try:
+                    # seek to end of file
+                    o.seek(0, 2)
+                    total_length = o.tell()
+
+                    # seek back to current position to support
+                    # partially read file-like objects
+                    o.seek(current_position or 0)
+                except OSError:
+                    total_length = 0
+
+    if total_length is None:
+        total_length = 0
+
+    return max(0, total_length - current_position)
+
+
+def get_netrc_auth(url, raise_errors=False):
+    """Returns the Requests tuple auth for a given url from netrc."""
+
+    netrc_file = os.environ.get("NETRC")
+    if netrc_file is not None:
+        netrc_locations = (netrc_file,)
+    else:
+        netrc_locations = (f"~/{f}" for f in NETRC_FILES)
+
+    try:
+        from netrc import NetrcParseError, netrc
+
+        netrc_path = None
+
+        for f in netrc_locations:
+            try:
+                loc = os.path.expanduser(f)
+            except KeyError:
+                # os.path.expanduser can fail when $HOME is undefined and
+                # getpwuid fails. See https://bugs.python.org/issue20164 &
+                # https://github.com/psf/requests/issues/1846
+                return
+
+            if os.path.exists(loc):
+                netrc_path = loc
+                break
+
+        # Abort early if there isn't one.
+        if netrc_path is None:
+            return
+
+        ri = urlparse(url)
+
+        # Strip port numbers from netloc. This weird `if...encode`` dance is
+        # used for Python 3.2, which doesn't support unicode literals.
+        splitstr = b":"
+        if isinstance(url, str):
+            splitstr = splitstr.decode("ascii")
+        host = ri.netloc.split(splitstr)[0]
+
+        try:
+            _netrc = netrc(netrc_path).authenticators(host)
+            if _netrc:
+                # Return with login / password
+                login_i = 0 if _netrc[0] else 1
+                return (_netrc[login_i], _netrc[2])
+        except (NetrcParseError, OSError):
+            # If there was a parsing error or a permissions issue reading the file,
+            # we'll just skip netrc auth unless explicitly asked to raise errors.
+            if raise_errors:
+                raise
+
+    # App Engine hackiness.
+    except (ImportError, AttributeError):
+        pass
+
+
+def guess_filename(obj):
+    """Tries to guess the filename of the given object."""
+    name = getattr(obj, "name", None)
+    if name and isinstance(name, basestring) and name[0] != "<" and name[-1] != ">":
+        return os.path.basename(name)
+
+
+def extract_zipped_paths(path):
+    """Replace nonexistent paths that look like they refer to a member of a zip
+    archive with the location of an extracted copy of the target, or else
+    just return the provided path unchanged.
+    """
+    if os.path.exists(path):
+        # this is already a valid path, no need to do anything further
+        return path
+
+    # find the first valid part of the provided path and treat that as a zip archive
+    # assume the rest of the path is the name of a member in the archive
+    archive, member = os.path.split(path)
+    while archive and not os.path.exists(archive):
+        archive, prefix = os.path.split(archive)
+        if not prefix:
+            # If we don't check for an empty prefix after the split (in other words, archive remains unchanged after the split),
+            # we _can_ end up in an infinite loop on a rare corner case affecting a small number of users
+            break
+        member = "/".join([prefix, member])
+
+    if not zipfile.is_zipfile(archive):
+        return path
+
+    zip_file = zipfile.ZipFile(archive)
+    if member not in zip_file.namelist():
+        return path
+
+    # we have a valid zip archive and a valid member of that archive
+    tmp = tempfile.gettempdir()
+    extracted_path = os.path.join(tmp, member.split("/")[-1])
+    if not os.path.exists(extracted_path):
+        # use read + write to avoid the creating nested folders, we only want the file, avoids mkdir racing condition
+        with atomic_open(extracted_path) as file_handler:
+            file_handler.write(zip_file.read(member))
+    return extracted_path
+
+
+@contextlib.contextmanager
+def atomic_open(filename):
+    """Write a file to the disk in an atomic fashion"""
+    tmp_descriptor, tmp_name = tempfile.mkstemp(dir=os.path.dirname(filename))
+    try:
+        with os.fdopen(tmp_descriptor, "wb") as tmp_handler:
+            yield tmp_handler
+        os.replace(tmp_name, filename)
+    except BaseException:
+        os.remove(tmp_name)
+        raise
+
+
+def from_key_val_list(value):
+    """Take an object and test to see if it can be represented as a
+    dictionary. Unless it can not be represented as such, return an
+    OrderedDict, e.g.,
+
+    ::
+
+        >>> from_key_val_list([('key', 'val')])
+        OrderedDict([('key', 'val')])
+        >>> from_key_val_list('string')
+        Traceback (most recent call last):
+        ...
+        ValueError: cannot encode objects that are not 2-tuples
+        >>> from_key_val_list({'key': 'val'})
+        OrderedDict([('key', 'val')])
+
+    :rtype: OrderedDict
+    """
+    if value is None:
+        return None
+
+    if isinstance(value, (str, bytes, bool, int)):
+        raise ValueError("cannot encode objects that are not 2-tuples")
+
+    return OrderedDict(value)
+
+
+def to_key_val_list(value):
+    """Take an object and test to see if it can be represented as a
+    dictionary. If it can be, return a list of tuples, e.g.,
+
+    ::
+
+        >>> to_key_val_list([('key', 'val')])
+        [('key', 'val')]
+        >>> to_key_val_list({'key': 'val'})
+        [('key', 'val')]
+        >>> to_key_val_list('string')
+        Traceback (most recent call last):
+        ...
+        ValueError: cannot encode objects that are not 2-tuples
+
+    :rtype: list
+    """
+    if value is None:
+        return None
+
+    if isinstance(value, (str, bytes, bool, int)):
+        raise ValueError("cannot encode objects that are not 2-tuples")
+
+    if isinstance(value, Mapping):
+        value = value.items()
+
+    return list(value)
+
+
+# From mitsuhiko/werkzeug (used with permission).
+def parse_list_header(value):
+    """Parse lists as described by RFC 2068 Section 2.
+
+    In particular, parse comma-separated lists where the elements of
+    the list may include quoted-strings.  A quoted-string could
+    contain a comma.  A non-quoted string could have quotes in the
+    middle.  Quotes are removed automatically after parsing.
+
+    It basically works like :func:`parse_set_header` just that items
+    may appear multiple times and case sensitivity is preserved.
+
+    The return value is a standard :class:`list`:
+
+    >>> parse_list_header('token, "quoted value"')
+    ['token', 'quoted value']
+
+    To create a header from the :class:`list` again, use the
+    :func:`dump_header` function.
+
+    :param value: a string with a list header.
+    :return: :class:`list`
+    :rtype: list
+    """
+    result = []
+    for item in _parse_list_header(value):
+        if item[:1] == item[-1:] == '"':
+            item = unquote_header_value(item[1:-1])
+        result.append(item)
+    return result
+
+
+# From mitsuhiko/werkzeug (used with permission).
+def parse_dict_header(value):
+    """Parse lists of key, value pairs as described by RFC 2068 Section 2 and
+    convert them into a python dict:
+
+    >>> d = parse_dict_header('foo="is a fish", bar="as well"')
+    >>> type(d) is dict
+    True
+    >>> sorted(d.items())
+    [('bar', 'as well'), ('foo', 'is a fish')]
+
+    If there is no value for a key it will be `None`:
+
+    >>> parse_dict_header('key_without_value')
+    {'key_without_value': None}
+
+    To create a header from the :class:`dict` again, use the
+    :func:`dump_header` function.
+
+    :param value: a string with a dict header.
+    :return: :class:`dict`
+    :rtype: dict
+    """
+    result = {}
+    for item in _parse_list_header(value):
+        if "=" not in item:
+            result[item] = None
+            continue
+        name, value = item.split("=", 1)
+        if value[:1] == value[-1:] == '"':
+            value = unquote_header_value(value[1:-1])
+        result[name] = value
+    return result
+
+
+# From mitsuhiko/werkzeug (used with permission).
+def unquote_header_value(value, is_filename=False):
+    r"""Unquotes a header value.  (Reversal of :func:`quote_header_value`).
+    This does not use the real unquoting but what browsers are actually
+    using for quoting.
+
+    :param value: the header value to unquote.
+    :rtype: str
+    """
+    if value and value[0] == value[-1] == '"':
+        # this is not the real unquoting, but fixing this so that the
+        # RFC is met will result in bugs with internet explorer and
+        # probably some other browsers as well.  IE for example is
+        # uploading files with "C:\foo\bar.txt" as filename
+        value = value[1:-1]
+
+        # if this is a filename and the starting characters look like
+        # a UNC path, then just return the value without quotes.  Using the
+        # replace sequence below on a UNC path has the effect of turning
+        # the leading double slash into a single slash and then
+        # _fix_ie_filename() doesn't work correctly.  See #458.
+        if not is_filename or value[:2] != "\\\\":
+            return value.replace("\\\\", "\\").replace('\\"', '"')
+    return value
+
+
+def dict_from_cookiejar(cj):
+    """Returns a key/value dictionary from a CookieJar.
+
+    :param cj: CookieJar object to extract cookies from.
+    :rtype: dict
+    """
+
+    cookie_dict = {cookie.name: cookie.value for cookie in cj}
+    return cookie_dict
+
+
+def add_dict_to_cookiejar(cj, cookie_dict):
+    """Returns a CookieJar from a key/value dictionary.
+
+    :param cj: CookieJar to insert cookies into.
+    :param cookie_dict: Dict of key/values to insert into CookieJar.
+    :rtype: CookieJar
+    """
+
+    return cookiejar_from_dict(cookie_dict, cj)
+
+
+def get_encodings_from_content(content):
+    """Returns encodings from given content string.
+
+    :param content: bytestring to extract encodings from.
+    """
+    warnings.warn(
+        (
+            "In requests 3.0, get_encodings_from_content will be removed. For "
+            "more information, please see the discussion on issue #2266. (This"
+            " warning should only appear once.)"
+        ),
+        DeprecationWarning,
+    )
+
+    charset_re = re.compile(r'<meta.*?charset=["\']*(.+?)["\'>]', flags=re.I)
+    pragma_re = re.compile(r'<meta.*?content=["\']*;?charset=(.+?)["\'>]', flags=re.I)
+    xml_re = re.compile(r'^<\?xml.*?encoding=["\']*(.+?)["\'>]')
+
+    return (
+        charset_re.findall(content)
+        + pragma_re.findall(content)
+        + xml_re.findall(content)
+    )
+
+
+def _parse_content_type_header(header):
+    """Returns content type and parameters from given header
+
+    :param header: string
+    :return: tuple containing content type and dictionary of
+         parameters
+    """
+
+    tokens = header.split(";")
+    content_type, params = tokens[0].strip(), tokens[1:]
+    params_dict = {}
+    items_to_strip = "\"' "
+
+    for param in params:
+        param = param.strip()
+        if param:
+            key, value = param, True
+            index_of_equals = param.find("=")
+            if index_of_equals != -1:
+                key = param[:index_of_equals].strip(items_to_strip)
+                value = param[index_of_equals + 1 :].strip(items_to_strip)
+            params_dict[key.lower()] = value
+    return content_type, params_dict
+
+
+def get_encoding_from_headers(headers):
+    """Returns encodings from given HTTP Header Dict.
+
+    :param headers: dictionary to extract encoding from.
+    :rtype: str
+    """
+
+    content_type = headers.get("content-type")
+
+    if not content_type:
+        return None
+
+    content_type, params = _parse_content_type_header(content_type)
+
+    if "charset" in params:
+        return params["charset"].strip("'\"")
+
+    if "text" in content_type:
+        return "ISO-8859-1"
+
+    if "application/json" in content_type:
+        # Assume UTF-8 based on RFC 4627: https://www.ietf.org/rfc/rfc4627.txt since the charset was unset
+        return "utf-8"
+
+
+def stream_decode_response_unicode(iterator, r):
+    """Stream decodes an iterator."""
+
+    if r.encoding is None:
+        yield from iterator
+        return
+
+    decoder = codecs.getincrementaldecoder(r.encoding)(errors="replace")
+    for chunk in iterator:
+        rv = decoder.decode(chunk)
+        if rv:
+            yield rv
+    rv = decoder.decode(b"", final=True)
+    if rv:
+        yield rv
+
+
+def iter_slices(string, slice_length):
+    """Iterate over slices of a string."""
+    pos = 0
+    if slice_length is None or slice_length <= 0:
+        slice_length = len(string)
+    while pos < len(string):
+        yield string[pos : pos + slice_length]
+        pos += slice_length
+
+
+def get_unicode_from_response(r):
+    """Returns the requested content back in unicode.
+
+    :param r: Response object to get unicode content from.
+
+    Tried:
+
+    1. charset from content-type
+    2. fall back and replace all unicode characters
+
+    :rtype: str
+    """
+    warnings.warn(
+        (
+            "In requests 3.0, get_unicode_from_response will be removed. For "
+            "more information, please see the discussion on issue #2266. (This"
+            " warning should only appear once.)"
+        ),
+        DeprecationWarning,
+    )
+
+    tried_encodings = []
+
+    # Try charset from content-type
+    encoding = get_encoding_from_headers(r.headers)
+
+    if encoding:
+        try:
+            return str(r.content, encoding)
+        except UnicodeError:
+            tried_encodings.append(encoding)
+
+    # Fall back:
+    try:
+        return str(r.content, encoding, errors="replace")
+    except TypeError:
+        return r.content
+
+
+# The unreserved URI characters (RFC 3986)
+UNRESERVED_SET = frozenset(
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz" + "0123456789-._~"
+)
+
+
+def unquote_unreserved(uri):
+    """Un-escape any percent-escape sequences in a URI that are unreserved
+    characters. This leaves all reserved, illegal and non-ASCII bytes encoded.
+
+    :rtype: str
+    """
+    parts = uri.split("%")
+    for i in range(1, len(parts)):
+        h = parts[i][0:2]
+        if len(h) == 2 and h.isalnum():
+            try:
+                c = chr(int(h, 16))
+            except ValueError:
+                raise InvalidURL(f"Invalid percent-escape sequence: '{h}'")
+
+            if c in UNRESERVED_SET:
+                parts[i] = c + parts[i][2:]
+            else:
+                parts[i] = f"%{parts[i]}"
+        else:
+            parts[i] = f"%{parts[i]}"
+    return "".join(parts)
+
+
+def requote_uri(uri):
+    """Re-quote the given URI.
+
+    This function passes the given URI through an unquote/quote cycle to
+    ensure that it is fully and consistently quoted.
+
+    :rtype: str
+    """
+    safe_with_percent = "!#$%&'()*+,/:;=?@[]~"
+    safe_without_percent = "!#$&'()*+,/:;=?@[]~"
+    try:
+        # Unquote only the unreserved characters
+        # Then quote only illegal characters (do not quote reserved,
+        # unreserved, or '%')
+        return quote(unquote_unreserved(uri), safe=safe_with_percent)
+    except InvalidURL:
+        # We couldn't unquote the given URI, so let's try quoting it, but
+        # there may be unquoted '%'s in the URI. We need to make sure they're
+        # properly quoted so they do not cause issues elsewhere.
+        return quote(uri, safe=safe_without_percent)
+
+
+def address_in_network(ip, net):
+    """This function allows you to check if an IP belongs to a network subnet
+
+    Example: returns True if ip = 192.168.1.1 and net = 192.168.1.0/24
+             returns False if ip = 192.168.1.1 and net = 192.168.100.0/24
+
+    :rtype: bool
+    """
+    ipaddr = struct.unpack("=L", socket.inet_aton(ip))[0]
+    netaddr, bits = net.split("/")
+    netmask = struct.unpack("=L", socket.inet_aton(dotted_netmask(int(bits))))[0]
+    network = struct.unpack("=L", socket.inet_aton(netaddr))[0] & netmask
+    return (ipaddr & netmask) == (network & netmask)
+
+
+def dotted_netmask(mask):
+    """Converts mask from /xx format to xxx.xxx.xxx.xxx
+
+    Example: if mask is 24 function returns 255.255.255.0
+
+    :rtype: str
+    """
+    bits = 0xFFFFFFFF ^ (1 << 32 - mask) - 1
+    return socket.inet_ntoa(struct.pack(">I", bits))
+
+
+def is_ipv4_address(string_ip):
+    """
+    :rtype: bool
+    """
+    try:
+        socket.inet_aton(string_ip)
+    except OSError:
+        return False
+    return True
+
+
+def is_valid_cidr(string_network):
+    """
+    Very simple check of the cidr format in no_proxy variable.
+
+    :rtype: bool
+    """
+    if string_network.count("/") == 1:
+        try:
+            mask = int(string_network.split("/")[1])
+        except ValueError:
+            return False
+
+        if mask < 1 or mask > 32:
+            return False
+
+        try:
+            socket.inet_aton(string_network.split("/")[0])
+        except OSError:
+            return False
+    else:
+        return False
+    return True
+
+
+@contextlib.contextmanager
+def set_environ(env_name, value):
+    """Set the environment variable 'env_name' to 'value'
+
+    Save previous value, yield, and then restore the previous value stored in
+    the environment variable 'env_name'.
+
+    If 'value' is None, do nothing"""
+    value_changed = value is not None
+    if value_changed:
+        old_value = os.environ.get(env_name)
+        os.environ[env_name] = value
+    try:
+        yield
+    finally:
+        if value_changed:
+            if old_value is None:
+                del os.environ[env_name]
+            else:
+                os.environ[env_name] = old_value
+
+
+def should_bypass_proxies(url, no_proxy):
+    """
+    Returns whether we should bypass proxies or not.
+
+    :rtype: bool
+    """
+
+    # Prioritize lowercase environment variables over uppercase
+    # to keep a consistent behaviour with other http projects (curl, wget).
+    def get_proxy(key):
+        return os.environ.get(key) or os.environ.get(key.upper())
+
+    # First check whether no_proxy is defined. If it is, check that the URL
+    # we're getting isn't in the no_proxy list.
+    no_proxy_arg = no_proxy
+    if no_proxy is None:
+        no_proxy = get_proxy("no_proxy")
+    parsed = urlparse(url)
+
+    if parsed.hostname is None:
+        # URLs don't always have hostnames, e.g. file:/// urls.
+        return True
+
+    if no_proxy:
+        # We need to check whether we match here. We need to see if we match
+        # the end of the hostname, both with and without the port.
+        no_proxy = (host for host in no_proxy.replace(" ", "").split(",") if host)
+
+        if is_ipv4_address(parsed.hostname):
+            for proxy_ip in no_proxy:
+                if is_valid_cidr(proxy_ip):
+                    if address_in_network(parsed.hostname, proxy_ip):
+                        return True
+                elif parsed.hostname == proxy_ip:
+                    # If no_proxy ip was defined in plain IP notation instead of cidr notation &
+                    # matches the IP of the index
+                    return True
+        else:
+            host_with_port = parsed.hostname
+            if parsed.port:
+                host_with_port += f":{parsed.port}"
+
+            for host in no_proxy:
+                if parsed.hostname.endswith(host) or host_with_port.endswith(host):
+                    # The URL does match something in no_proxy, so we don't want
+                    # to apply the proxies on this URL.
+                    return True
+
+    with set_environ("no_proxy", no_proxy_arg):
+        # parsed.hostname can be `None` in cases such as a file URI.
+        try:
+            bypass = proxy_bypass(parsed.hostname)
+        except (TypeError, socket.gaierror):
+            bypass = False
+
+    if bypass:
+        return True
+
+    return False
+
+
+def get_environ_proxies(url, no_proxy=None):
+    """
+    Return a dict of environment proxies.
+
+    :rtype: dict
+    """
+    if should_bypass_proxies(url, no_proxy=no_proxy):
+        return {}
+    else:
+        return getproxies()
+
+
+def select_proxy(url, proxies):
+    """Select a proxy for the url, if applicable.
+
+    :param url: The url being for the request
+    :param proxies: A dictionary of schemes or schemes and hosts to proxy URLs
+    """
+    proxies = proxies or {}
+    urlparts = urlparse(url)
+    if urlparts.hostname is None:
+        return proxies.get(urlparts.scheme, proxies.get("all"))
+
+    proxy_keys = [
+        urlparts.scheme + "://" + urlparts.hostname,
+        urlparts.scheme,
+        "all://" + urlparts.hostname,
+        "all",
+    ]
+    proxy = None
+    for proxy_key in proxy_keys:
+        if proxy_key in proxies:
+            proxy = proxies[proxy_key]
+            break
+
+    return proxy
+
+
+def resolve_proxies(request, proxies, trust_env=True):
+    """This method takes proxy information from a request and configuration
+    input to resolve a mapping of target proxies. This will consider settings
+    such as NO_PROXY to strip proxy configurations.
+
+    :param request: Request or PreparedRequest
+    :param proxies: A dictionary of schemes or schemes and hosts to proxy URLs
+    :param trust_env: Boolean declaring whether to trust environment configs
+
+    :rtype: dict
+    """
+    proxies = proxies if proxies is not None else {}
+    url = request.url
+    scheme = urlparse(url).scheme
+    no_proxy = proxies.get("no_proxy")
+    new_proxies = proxies.copy()
+
+    if trust_env and not should_bypass_proxies(url, no_proxy=no_proxy):
+        environ_proxies = get_environ_proxies(url, no_proxy=no_proxy)
+
+        proxy = environ_proxies.get(scheme, environ_proxies.get("all"))
+
+        if proxy:
+            new_proxies.setdefault(scheme, proxy)
+    return new_proxies
+
+
+def default_user_agent(name="python-requests"):
+    """
+    Return a string representing the default user agent.
+
+    :rtype: str
+    """
+    return f"{name}/{__version__}"
+
+
+def default_headers():
+    """
+    :rtype: requests.structures.CaseInsensitiveDict
+    """
+    return CaseInsensitiveDict(
+        {
+            "User-Agent": default_user_agent(),
+            "Accept-Encoding": DEFAULT_ACCEPT_ENCODING,
+            "Accept": "*/*",
+            "Connection": "keep-alive",
+        }
+    )
+
+
+def parse_header_links(value):
+    """Return a list of parsed link headers proxies.
+
+    i.e. Link: <http:/.../front.jpeg>; rel=front; type="image/jpeg",<http://.../back.jpeg>; rel=back;type="image/jpeg"
+
+    :rtype: list
+    """
+
+    links = []
+
+    replace_chars = " '\""
+
+    value = value.strip(replace_chars)
+    if not value:
+        return links
+
+    for val in re.split(", *<", value):
+        try:
+            url, params = val.split(";", 1)
+        except ValueError:
+            url, params = val, ""
+
+        link = {"url": url.strip("<> '\"")}
+
+        for param in params.split(";"):
+            try:
+                key, value = param.split("=")
+            except ValueError:
+                break
+
+            link[key.strip(replace_chars)] = value.strip(replace_chars)
+
+        links.append(link)
+
+    return links
+
+
+# Null bytes; no need to recreate these on each call to guess_json_utf
+_null = "\x00".encode("ascii")  # encoding to ASCII for Python 3
+_null2 = _null * 2
+_null3 = _null * 3
+
+
+def guess_json_utf(data):
+    """
+    :rtype: str
+    """
+    # JSON always starts with two ASCII characters, so detection is as
+    # easy as counting the nulls and from their location and count
+    # determine the encoding. Also detect a BOM, if present.
+    sample = data[:4]
+    if sample in (codecs.BOM_UTF32_LE, codecs.BOM_UTF32_BE):
+        return "utf-32"  # BOM included
+    if sample[:3] == codecs.BOM_UTF8:
+        return "utf-8-sig"  # BOM included, MS style (discouraged)
+    if sample[:2] in (codecs.BOM_UTF16_LE, codecs.BOM_UTF16_BE):
+        return "utf-16"  # BOM included
+    nullcount = sample.count(_null)
+    if nullcount == 0:
+        return "utf-8"
+    if nullcount == 2:
+        if sample[::2] == _null2:  # 1st and 3rd are null
+            return "utf-16-be"
+        if sample[1::2] == _null2:  # 2nd and 4th are null
+            return "utf-16-le"
+        # Did not detect 2 valid UTF-16 ascii-range characters
+    if nullcount == 3:
+        if sample[:3] == _null3:
+            return "utf-32-be"
+        if sample[1:] == _null3:
+            return "utf-32-le"
+        # Did not detect a valid UTF-32 ascii-range character
+    return None
+
+
+def prepend_scheme_if_needed(url, new_scheme):
+    """Given a URL that may or may not have a scheme, prepend the given scheme.
+    Does not replace a present scheme with the one provided as an argument.
+
+    :rtype: str
+    """
+    parsed = parse_url(url)
+    scheme, auth, host, port, path, query, fragment = parsed
+
+    # A defect in urlparse determines that there isn't a netloc present in some
+    # urls. We previously assumed parsing was overly cautious, and swapped the
+    # netloc and path. Due to a lack of tests on the original defect, this is
+    # maintained with parse_url for backwards compatibility.
+    netloc = parsed.netloc
+    if not netloc:
+        netloc, path = path, netloc
+
+    if auth:
+        # parse_url doesn't provide the netloc with auth
+        # so we'll add it ourselves.
+        netloc = "@".join([auth, netloc])
+    if scheme is None:
+        scheme = new_scheme
+    if path is None:
+        path = ""
+
+    return urlunparse((scheme, netloc, path, "", query, fragment))
+
+
+def get_auth_from_url(url):
+    """Given a url with authentication components, extract them into a tuple of
+    username,password.
+
+    :rtype: (str,str)
+    """
+    parsed = urlparse(url)
+
+    try:
+        auth = (unquote(parsed.username), unquote(parsed.password))
+    except (AttributeError, TypeError):
+        auth = ("", "")
+
+    return auth
+
+
+def check_header_validity(header):
+    """Verifies that header parts don't contain leading whitespace
+    reserved characters, or return characters.
+
+    :param header: tuple, in the format (name, value).
+    """
+    name, value = header
+    _validate_header_part(header, name, 0)
+    _validate_header_part(header, value, 1)
+
+
+def _validate_header_part(header, header_part, header_validator_index):
+    if isinstance(header_part, str):
+        validator = _HEADER_VALIDATORS_STR[header_validator_index]
+    elif isinstance(header_part, bytes):
+        validator = _HEADER_VALIDATORS_BYTE[header_validator_index]
+    else:
+        raise InvalidHeader(
+            f"Header part ({header_part!r}) from {header} "
+            f"must be of type str or bytes, not {type(header_part)}"
+        )
+
+    if not validator.match(header_part):
+        header_kind = "name" if header_validator_index == 0 else "value"
+        raise InvalidHeader(
+            f"Invalid leading whitespace, reserved character(s), or return "
+            f"character(s) in header {header_kind}: {header_part!r}"
+        )
+
+
+def urldefragauth(url):
+    """
+    Given a url remove the fragment and the authentication part.
+
+    :rtype: str
+    """
+    scheme, netloc, path, params, query, fragment = urlparse(url)
+
+    # see func:`prepend_scheme_if_needed`
+    if not netloc:
+        netloc, path = path, netloc
+
+    netloc = netloc.rsplit("@", 1)[-1]
+
+    return urlunparse((scheme, netloc, path, params, query, ""))
+
+
+def rewind_body(prepared_request):
+    """Move file pointer back to its recorded starting position
+    so it can be read again on redirect.
+    """
+    body_seek = getattr(prepared_request.body, "seek", None)
+    if body_seek is not None and isinstance(
+        prepared_request._body_position, integer_types
+    ):
+        try:
+            body_seek(prepared_request._body_position)
+        except OSError:
+            raise UnrewindableBodyError(
+                "An error occurred when rewinding request body for redirect."
+            )
+    else:
+        raise UnrewindableBodyError("Unable to rewind request body for redirect.")

janus/lib/python3.10/site-packages/safetensors/_safetensors_rust.abi3.so

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0b3dba08af60863aafd4d9f18abf0b3299ae852f869860655fd869af56bebb7
+size 1089040

janus/lib/python3.10/site-packages/sympy/__init__.py

@@ -0,0 +1,542 @@
+"""
+SymPy is a Python library for symbolic mathematics. It aims to become a
+full-featured computer algebra system (CAS) while keeping the code as simple
+as possible in order to be comprehensible and easily extensible.  SymPy is
+written entirely in Python. It depends on mpmath, and other external libraries
+may be optionally for things like plotting support.
+
+See the webpage for more information and documentation:
+
+    https://sympy.org
+
+"""
+
+
+import sys
+if sys.version_info < (3, 8):
+    raise ImportError("Python version 3.8 or above is required for SymPy.")
+del sys
+
+
+try:
+    import mpmath
+except ImportError:
+    raise ImportError("SymPy now depends on mpmath as an external library. "
+    "See https://docs.sympy.org/latest/install.html#mpmath for more information.")
+
+del mpmath
+
+from sympy.release import __version__
+from sympy.core.cache import lazy_function
+
+if 'dev' in __version__:
+    def enable_warnings():
+        import warnings
+        warnings.filterwarnings('default',   '.*',   DeprecationWarning, module='sympy.*')
+        del warnings
+    enable_warnings()
+    del enable_warnings
+
+
+def __sympy_debug():
+    # helper function so we don't import os globally
+    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)
+SYMPY_DEBUG = __sympy_debug()  # type: bool
+
+from .core import (sympify, SympifyError, cacheit, Basic, Atom,
+        preorder_traversal, S, Expr, AtomicExpr, UnevaluatedExpr, Symbol,
+        Wild, Dummy, symbols, var, Number, Float, Rational, Integer,
+        NumberSymbol, RealNumber, igcd, ilcm, seterr, E, I, nan, oo, pi, zoo,
+        AlgebraicNumber, comp, mod_inverse, Pow, integer_nthroot, integer_log,
+        trailing, Mul, prod, Add, Mod, Rel, Eq, Ne, Lt, Le, Gt, Ge, Equality,
+        GreaterThan, LessThan, Unequality, StrictGreaterThan, StrictLessThan,
+        vectorize, Lambda, WildFunction, Derivative, diff, FunctionClass,
+        Function, Subs, expand, PoleError, count_ops, expand_mul, expand_log,
+        expand_func, expand_trig, expand_complex, expand_multinomial, nfloat,
+        expand_power_base, expand_power_exp, arity, PrecisionExhausted, N,
+        evalf, Tuple, Dict, gcd_terms, factor_terms, factor_nc, evaluate,
+        Catalan, EulerGamma, GoldenRatio, TribonacciConstant, bottom_up, use,
+        postorder_traversal, default_sort_key, ordered, num_digits)
+
+from .logic import (to_cnf, to_dnf, to_nnf, And, Or, Not, Xor, Nand, Nor,
+        Implies, Equivalent, ITE, POSform, SOPform, simplify_logic, bool_map,
+        true, false, satisfiable)
+
+from .assumptions import (AppliedPredicate, Predicate, AssumptionsContext,
+        assuming, Q, ask, register_handler, remove_handler, refine)
+
+from .polys import (Poly, PurePoly, poly_from_expr, parallel_poly_from_expr,
+        degree, total_degree, degree_list, LC, LM, LT, pdiv, prem, pquo,
+        pexquo, div, rem, quo, exquo, half_gcdex, gcdex, invert,
+        subresultants, resultant, discriminant, cofactors, gcd_list, gcd,
+        lcm_list, lcm, terms_gcd, trunc, monic, content, primitive, compose,
+        decompose, sturm, gff_list, gff, sqf_norm, sqf_part, sqf_list, sqf,
+        factor_list, factor, intervals, refine_root, count_roots, all_roots,
+        real_roots, nroots, ground_roots, nth_power_roots_poly, cancel,
+        reduced, groebner, is_zero_dimensional, GroebnerBasis, poly,
+        symmetrize, horner, interpolate, rational_interpolate, viete, together,
+        BasePolynomialError, ExactQuotientFailed, PolynomialDivisionFailed,
+        OperationNotSupported, HeuristicGCDFailed, HomomorphismFailed,
+        IsomorphismFailed, ExtraneousFactors, EvaluationFailed,
+        RefinementFailed, CoercionFailed, NotInvertible, NotReversible,
+        NotAlgebraic, DomainError, PolynomialError, UnificationFailed,
+        GeneratorsError, GeneratorsNeeded, ComputationFailed,
+        UnivariatePolynomialError, MultivariatePolynomialError,
+        PolificationFailed, OptionError, FlagError, minpoly,
+        minimal_polynomial, primitive_element, field_isomorphism,
+        to_number_field, isolate, round_two, prime_decomp, prime_valuation,
+        galois_group, itermonomials, Monomial, lex, grlex,
+        grevlex, ilex, igrlex, igrevlex, CRootOf, rootof, RootOf,
+        ComplexRootOf, RootSum, roots, Domain, FiniteField, IntegerRing,
+        RationalField, RealField, ComplexField, PythonFiniteField,
+        GMPYFiniteField, PythonIntegerRing, GMPYIntegerRing, PythonRational,
+        GMPYRationalField, AlgebraicField, PolynomialRing, FractionField,
+        ExpressionDomain, FF_python, FF_gmpy, ZZ_python, ZZ_gmpy, QQ_python,
+        QQ_gmpy, GF, FF, ZZ, QQ, ZZ_I, QQ_I, RR, CC, EX, EXRAW,
+        construct_domain, swinnerton_dyer_poly, cyclotomic_poly,
+        symmetric_poly, random_poly, interpolating_poly, jacobi_poly,
+        chebyshevt_poly, chebyshevu_poly, hermite_poly, hermite_prob_poly,
+        legendre_poly, laguerre_poly, apart, apart_list, assemble_partfrac_list,
+        Options, ring, xring, vring, sring, field, xfield, vfield, sfield)
+
+from .series import (Order, O, limit, Limit, gruntz, series, approximants,
+        residue, EmptySequence, SeqPer, SeqFormula, sequence, SeqAdd, SeqMul,
+        fourier_series, fps, difference_delta, limit_seq)
+
+from .functions import (factorial, factorial2, rf, ff, binomial,
+        RisingFactorial, FallingFactorial, subfactorial, carmichael,
+        fibonacci, lucas, motzkin, tribonacci, harmonic, bernoulli, bell, euler,
+        catalan, genocchi, andre, partition, divisor_sigma, legendre_symbol,
+        jacobi_symbol, kronecker_symbol, mobius, primenu, primeomega,
+        totient, reduced_totient, primepi, sqrt, root, Min, Max, Id,
+        real_root, Rem, cbrt, re, im, sign, Abs, conjugate, arg, polar_lift,
+        periodic_argument, unbranched_argument, principal_branch, transpose,
+        adjoint, polarify, unpolarify, sin, cos, tan, sec, csc, cot, sinc,
+        asin, acos, atan, asec, acsc, acot, atan2, exp_polar, exp, ln, log,
+        LambertW, sinh, cosh, tanh, coth, sech, csch, asinh, acosh, atanh,
+        acoth, asech, acsch, floor, ceiling, frac, Piecewise, piecewise_fold,
+        piecewise_exclusive, erf, erfc, erfi, erf2, erfinv, erfcinv, erf2inv,
+        Ei, expint, E1, li, Li, Si, Ci, Shi, Chi, fresnels, fresnelc, gamma,
+        lowergamma, uppergamma, polygamma, loggamma, digamma, trigamma,
+        multigamma, dirichlet_eta, zeta, lerchphi, polylog, stieltjes, Eijk,
+        LeviCivita, KroneckerDelta, SingularityFunction, DiracDelta, Heaviside,
+        bspline_basis, bspline_basis_set, interpolating_spline, besselj,
+        bessely, besseli, besselk, hankel1, hankel2, jn, yn, jn_zeros, hn1,
+        hn2, airyai, airybi, airyaiprime, airybiprime, marcumq, hyper,
+        meijerg, appellf1, legendre, assoc_legendre, hermite, hermite_prob,
+        chebyshevt, chebyshevu, chebyshevu_root, chebyshevt_root, laguerre,
+        assoc_laguerre, gegenbauer, jacobi, jacobi_normalized, Ynm, Ynm_c,
+        Znm, elliptic_k, elliptic_f, elliptic_e, elliptic_pi, beta, mathieus,
+        mathieuc, mathieusprime, mathieucprime, riemann_xi, betainc, betainc_regularized)
+
+from .ntheory import (nextprime, prevprime, prime, primerange,
+        randprime, Sieve, sieve, primorial, cycle_length, composite,
+        compositepi, isprime, divisors, proper_divisors, factorint,
+        multiplicity, perfect_power, pollard_pm1, pollard_rho, primefactors,
+        divisor_count, proper_divisor_count,
+        factorrat,
+        mersenne_prime_exponent, is_perfect, is_mersenne_prime, is_abundant,
+        is_deficient, is_amicable, is_carmichael, abundance, npartitions, is_primitive_root,
+        is_quad_residue, n_order, sqrt_mod,
+        quadratic_residues, primitive_root, nthroot_mod, is_nthpow_residue,
+        sqrt_mod_iter, discrete_log, quadratic_congruence,
+        binomial_coefficients, binomial_coefficients_list,
+        multinomial_coefficients, continued_fraction_periodic,
+        continued_fraction_iterator, continued_fraction_reduce,
+        continued_fraction_convergents, continued_fraction, egyptian_fraction)
+
+from .concrete import product, Product, summation, Sum
+
+from .discrete import (fft, ifft, ntt, intt, fwht, ifwht, mobius_transform,
+        inverse_mobius_transform, convolution, covering_product,
+        intersecting_product)
+
+from .simplify import (simplify, hypersimp, hypersimilar, logcombine,
+        separatevars, posify, besselsimp, kroneckersimp, signsimp,
+        nsimplify, FU, fu, sqrtdenest, cse, epath, EPath, hyperexpand,
+        collect, rcollect, radsimp, collect_const, fraction, numer, denom,
+        trigsimp, exptrigsimp, powsimp, powdenest, combsimp, gammasimp,
+        ratsimp, ratsimpmodprime)
+
+from .sets import (Set, Interval, Union, EmptySet, FiniteSet, ProductSet,
+        Intersection, DisjointUnion, imageset, Complement, SymmetricDifference, ImageSet,
+        Range, ComplexRegion, Complexes, Reals, Contains, ConditionSet, Ordinal,
+        OmegaPower, ord0, PowerSet, Naturals, Naturals0, UniversalSet,
+        Integers, Rationals)
+
+from .solvers import (solve, solve_linear_system, solve_linear_system_LU,
+        solve_undetermined_coeffs, nsolve, solve_linear, checksol, det_quick,
+        inv_quick, check_assumptions, failing_assumptions, diophantine,
+        rsolve, rsolve_poly, rsolve_ratio, rsolve_hyper, checkodesol,
+        classify_ode, dsolve, homogeneous_order, solve_poly_system,
+        solve_triangulated, pde_separate, pde_separate_add, pde_separate_mul,
+        pdsolve, classify_pde, checkpdesol, ode_order, reduce_inequalities,
+        reduce_abs_inequality, reduce_abs_inequalities, solve_poly_inequality,
+        solve_rational_inequalities, solve_univariate_inequality, decompogen,
+        solveset, linsolve, linear_eq_to_matrix, nonlinsolve, substitution)
+
+from .matrices import (ShapeError, NonSquareMatrixError, GramSchmidt,
+        casoratian, diag, eye, hessian, jordan_cell, list2numpy, matrix2numpy,
+        matrix_multiply_elementwise, ones, randMatrix, rot_axis1, rot_axis2,
+        rot_axis3, symarray, wronskian, zeros, MutableDenseMatrix,
+        DeferredVector, MatrixBase, Matrix, MutableMatrix,
+        MutableSparseMatrix, banded, ImmutableDenseMatrix,
+        ImmutableSparseMatrix, ImmutableMatrix, SparseMatrix, MatrixSlice,
+        BlockDiagMatrix, BlockMatrix, FunctionMatrix, Identity, Inverse,
+        MatAdd, MatMul, MatPow, MatrixExpr, MatrixSymbol, Trace, Transpose,
+        ZeroMatrix, OneMatrix, blockcut, block_collapse, matrix_symbols,
+        Adjoint, hadamard_product, HadamardProduct, HadamardPower,
+        Determinant, det, diagonalize_vector, DiagMatrix, DiagonalMatrix,
+        DiagonalOf, trace, DotProduct, kronecker_product, KroneckerProduct,
+        PermutationMatrix, MatrixPermute, Permanent, per, rot_ccw_axis1,
+        rot_ccw_axis2, rot_ccw_axis3, rot_givens)
+
+from .geometry import (Point, Point2D, Point3D, Line, Ray, Segment, Line2D,
+        Segment2D, Ray2D, Line3D, Segment3D, Ray3D, Plane, Ellipse, Circle,
+        Polygon, RegularPolygon, Triangle, rad, deg, are_similar, centroid,
+        convex_hull, idiff, intersection, closest_points, farthest_points,
+        GeometryError, Curve, Parabola)
+
+from .utilities import (flatten, group, take, subsets, variations,
+        numbered_symbols, cartes, capture, dict_merge, prefixes, postfixes,
+        sift, topological_sort, unflatten, has_dups, has_variety, reshape,
+        rotations, filldedent, lambdify,
+        threaded, xthreaded, public, memoize_property, timed)
+
+from .integrals import (integrate, Integral, line_integrate, mellin_transform,
+        inverse_mellin_transform, MellinTransform, InverseMellinTransform,
+        laplace_transform, laplace_correspondence, laplace_initial_conds,
+        inverse_laplace_transform, LaplaceTransform,
+        InverseLaplaceTransform, fourier_transform, inverse_fourier_transform,
+        FourierTransform, InverseFourierTransform, sine_transform,
+        inverse_sine_transform, SineTransform, InverseSineTransform,
+        cosine_transform, inverse_cosine_transform, CosineTransform,
+        InverseCosineTransform, hankel_transform, inverse_hankel_transform,
+        HankelTransform, InverseHankelTransform, singularityintegrate)
+
+from .tensor import (IndexedBase, Idx, Indexed, get_contraction_structure,
+        get_indices, shape, MutableDenseNDimArray, ImmutableDenseNDimArray,
+        MutableSparseNDimArray, ImmutableSparseNDimArray, NDimArray,
+        tensorproduct, tensorcontraction, tensordiagonal, derive_by_array,
+        permutedims, Array, DenseNDimArray, SparseNDimArray)
+
+from .parsing import parse_expr
+
+from .calculus import (euler_equations, singularities, is_increasing,
+        is_strictly_increasing, is_decreasing, is_strictly_decreasing,
+        is_monotonic, finite_diff_weights, apply_finite_diff,
+        differentiate_finite, periodicity, not_empty_in, AccumBounds,
+        is_convex, stationary_points, minimum, maximum)
+
+from .algebras import Quaternion
+
+from .printing import (pager_print, pretty, pretty_print, pprint,
+        pprint_use_unicode, pprint_try_use_unicode, latex, print_latex,
+        multiline_latex, mathml, print_mathml, python, print_python, pycode,
+        ccode, print_ccode, smtlib_code, glsl_code, print_glsl, cxxcode, fcode,
+        print_fcode, rcode, print_rcode, jscode, print_jscode, julia_code,
+        mathematica_code, octave_code, rust_code, print_gtk, preview, srepr,
+        print_tree, StrPrinter, sstr, sstrrepr, TableForm, dotprint,
+        maple_code, print_maple_code)
+
+test = lazy_function('sympy.testing.runtests_pytest', 'test')
+doctest = lazy_function('sympy.testing.runtests', 'doctest')
+
+# This module causes conflicts with other modules:
+# from .stats import *
+# Adds about .04-.05 seconds of import time
+# from combinatorics import *
+# This module is slow to import:
+#from physics import units
+from .plotting import plot, textplot, plot_backends, plot_implicit, plot_parametric
+from .interactive import init_session, init_printing, interactive_traversal
+
+evalf._create_evalf_table()
+
+__all__ = [
+    '__version__',
+
+    # sympy.core
+    'sympify', 'SympifyError', 'cacheit', 'Basic', 'Atom',
+    'preorder_traversal', 'S', 'Expr', 'AtomicExpr', 'UnevaluatedExpr',
+    'Symbol', 'Wild', 'Dummy', 'symbols', 'var', 'Number', 'Float',
+    'Rational', 'Integer', 'NumberSymbol', 'RealNumber', 'igcd', 'ilcm',
+    'seterr', 'E', 'I', 'nan', 'oo', 'pi', 'zoo', 'AlgebraicNumber', 'comp',
+    'mod_inverse', 'Pow', 'integer_nthroot', 'integer_log', 'trailing', 'Mul', 'prod',
+    'Add', 'Mod', 'Rel', 'Eq', 'Ne', 'Lt', 'Le', 'Gt', 'Ge', 'Equality',
+    'GreaterThan', 'LessThan', 'Unequality', 'StrictGreaterThan',
+    'StrictLessThan', 'vectorize', 'Lambda', 'WildFunction', 'Derivative',
+    'diff', 'FunctionClass', 'Function', 'Subs', 'expand', 'PoleError',
+    'count_ops', 'expand_mul', 'expand_log', 'expand_func', 'expand_trig',
+    'expand_complex', 'expand_multinomial', 'nfloat', 'expand_power_base',
+    'expand_power_exp', 'arity', 'PrecisionExhausted', 'N', 'evalf', 'Tuple',
+    'Dict', 'gcd_terms', 'factor_terms', 'factor_nc', 'evaluate', 'Catalan',
+    'EulerGamma', 'GoldenRatio', 'TribonacciConstant', 'bottom_up', 'use',
+    'postorder_traversal', 'default_sort_key', 'ordered', 'num_digits',
+
+    # sympy.logic
+    'to_cnf', 'to_dnf', 'to_nnf', 'And', 'Or', 'Not', 'Xor', 'Nand', 'Nor',
+    'Implies', 'Equivalent', 'ITE', 'POSform', 'SOPform', 'simplify_logic',
+    'bool_map', 'true', 'false', 'satisfiable',
+
+    # sympy.assumptions
+    'AppliedPredicate', 'Predicate', 'AssumptionsContext', 'assuming', 'Q',
+    'ask', 'register_handler', 'remove_handler', 'refine',
+
+    # sympy.polys
+    'Poly', 'PurePoly', 'poly_from_expr', 'parallel_poly_from_expr', 'degree',
+    'total_degree', 'degree_list', 'LC', 'LM', 'LT', 'pdiv', 'prem', 'pquo',
+    'pexquo', 'div', 'rem', 'quo', 'exquo', 'half_gcdex', 'gcdex', 'invert',
+    'subresultants', 'resultant', 'discriminant', 'cofactors', 'gcd_list',
+    'gcd', 'lcm_list', 'lcm', 'terms_gcd', 'trunc', 'monic', 'content',
+    'primitive', 'compose', 'decompose', 'sturm', 'gff_list', 'gff',
+    'sqf_norm', 'sqf_part', 'sqf_list', 'sqf', 'factor_list', 'factor',
+    'intervals', 'refine_root', 'count_roots', 'all_roots', 'real_roots',
+    'nroots', 'ground_roots', 'nth_power_roots_poly', 'cancel', 'reduced',
+    'groebner', 'is_zero_dimensional', 'GroebnerBasis', 'poly', 'symmetrize',
+    'horner', 'interpolate', 'rational_interpolate', 'viete', 'together',
+    'BasePolynomialError', 'ExactQuotientFailed', 'PolynomialDivisionFailed',
+    'OperationNotSupported', 'HeuristicGCDFailed', 'HomomorphismFailed',
+    'IsomorphismFailed', 'ExtraneousFactors', 'EvaluationFailed',
+    'RefinementFailed', 'CoercionFailed', 'NotInvertible', 'NotReversible',
+    'NotAlgebraic', 'DomainError', 'PolynomialError', 'UnificationFailed',
+    'GeneratorsError', 'GeneratorsNeeded', 'ComputationFailed',
+    'UnivariatePolynomialError', 'MultivariatePolynomialError',
+    'PolificationFailed', 'OptionError', 'FlagError', 'minpoly',
+    'minimal_polynomial', 'primitive_element', 'field_isomorphism',
+    'to_number_field', 'isolate', 'round_two', 'prime_decomp',
+    'prime_valuation', 'galois_group', 'itermonomials', 'Monomial', 'lex', 'grlex',
+    'grevlex', 'ilex', 'igrlex', 'igrevlex', 'CRootOf', 'rootof', 'RootOf',
+    'ComplexRootOf', 'RootSum', 'roots', 'Domain', 'FiniteField',
+    'IntegerRing', 'RationalField', 'RealField', 'ComplexField',
+    'PythonFiniteField', 'GMPYFiniteField', 'PythonIntegerRing',
+    'GMPYIntegerRing', 'PythonRational', 'GMPYRationalField',
+    'AlgebraicField', 'PolynomialRing', 'FractionField', 'ExpressionDomain',
+    'FF_python', 'FF_gmpy', 'ZZ_python', 'ZZ_gmpy', 'QQ_python', 'QQ_gmpy',
+    'GF', 'FF', 'ZZ', 'QQ', 'ZZ_I', 'QQ_I', 'RR', 'CC', 'EX', 'EXRAW',
+    'construct_domain', 'swinnerton_dyer_poly', 'cyclotomic_poly',
+    'symmetric_poly', 'random_poly', 'interpolating_poly', 'jacobi_poly',
+    'chebyshevt_poly', 'chebyshevu_poly', 'hermite_poly', 'hermite_prob_poly',
+    'legendre_poly', 'laguerre_poly', 'apart', 'apart_list', 'assemble_partfrac_list',
+    'Options', 'ring', 'xring', 'vring', 'sring', 'field', 'xfield', 'vfield',
+    'sfield',
+
+    # sympy.series
+    'Order', 'O', 'limit', 'Limit', 'gruntz', 'series', 'approximants',
+    'residue', 'EmptySequence', 'SeqPer', 'SeqFormula', 'sequence', 'SeqAdd',
+    'SeqMul', 'fourier_series', 'fps', 'difference_delta', 'limit_seq',
+
+    # sympy.functions
+    'factorial', 'factorial2', 'rf', 'ff', 'binomial', 'RisingFactorial',
+    'FallingFactorial', 'subfactorial', 'carmichael', 'fibonacci', 'lucas',
+    'motzkin', 'tribonacci', 'harmonic', 'bernoulli', 'bell', 'euler', 'catalan',
+    'genocchi', 'andre', 'partition',  'divisor_sigma', 'legendre_symbol', 'jacobi_symbol',
+    'kronecker_symbol', 'mobius', 'primenu', 'primeomega', 'totient', 'primepi',
+    'reduced_totient', 'sqrt', 'root', 'Min', 'Max', 'Id', 'real_root',
+    'Rem', 'cbrt', 're', 'im', 'sign', 'Abs', 'conjugate', 'arg', 'polar_lift',
+    'periodic_argument', 'unbranched_argument', 'principal_branch',
+    'transpose', 'adjoint', 'polarify', 'unpolarify', 'sin', 'cos', 'tan',
+    'sec', 'csc', 'cot', 'sinc', 'asin', 'acos', 'atan', 'asec', 'acsc',
+    'acot', 'atan2', 'exp_polar', 'exp', 'ln', 'log', 'LambertW', 'sinh',
+    'cosh', 'tanh', 'coth', 'sech', 'csch', 'asinh', 'acosh', 'atanh',
+    'acoth', 'asech', 'acsch', 'floor', 'ceiling', 'frac', 'Piecewise',
+    'piecewise_fold', 'piecewise_exclusive', 'erf', 'erfc', 'erfi', 'erf2',
+    'erfinv', 'erfcinv', 'erf2inv', 'Ei', 'expint', 'E1', 'li', 'Li', 'Si',
+    'Ci', 'Shi', 'Chi', 'fresnels', 'fresnelc', 'gamma', 'lowergamma',
+    'uppergamma', 'polygamma', 'loggamma', 'digamma', 'trigamma', 'multigamma',
+    'dirichlet_eta', 'zeta', 'lerchphi', 'polylog', 'stieltjes', 'Eijk', 'LeviCivita',
+    'KroneckerDelta', 'SingularityFunction', 'DiracDelta', 'Heaviside',
+    'bspline_basis', 'bspline_basis_set', 'interpolating_spline', 'besselj',
+    'bessely', 'besseli', 'besselk', 'hankel1', 'hankel2', 'jn', 'yn',
+    'jn_zeros', 'hn1', 'hn2', 'airyai', 'airybi', 'airyaiprime',
+    'airybiprime', 'marcumq', 'hyper', 'meijerg', 'appellf1', 'legendre',
+    'assoc_legendre', 'hermite', 'hermite_prob', 'chebyshevt', 'chebyshevu',
+    'chebyshevu_root', 'chebyshevt_root', 'laguerre', 'assoc_laguerre',
+    'gegenbauer', 'jacobi', 'jacobi_normalized', 'Ynm', 'Ynm_c', 'Znm',
+    'elliptic_k', 'elliptic_f', 'elliptic_e', 'elliptic_pi', 'beta',
+    'mathieus', 'mathieuc', 'mathieusprime', 'mathieucprime', 'riemann_xi','betainc',
+    'betainc_regularized',
+
+    # sympy.ntheory
+    'nextprime', 'prevprime', 'prime', 'primerange', 'randprime',
+    'Sieve', 'sieve', 'primorial', 'cycle_length', 'composite', 'compositepi',
+    'isprime', 'divisors', 'proper_divisors', 'factorint', 'multiplicity',
+    'perfect_power', 'pollard_pm1', 'pollard_rho', 'primefactors',
+    'divisor_count', 'proper_divisor_count',
+    'factorrat',
+    'mersenne_prime_exponent', 'is_perfect', 'is_mersenne_prime',
+    'is_abundant', 'is_deficient', 'is_amicable', 'is_carmichael', 'abundance',
+    'npartitions',
+    'is_primitive_root', 'is_quad_residue',
+    'n_order', 'sqrt_mod', 'quadratic_residues',
+    'primitive_root', 'nthroot_mod', 'is_nthpow_residue', 'sqrt_mod_iter',
+    'discrete_log', 'quadratic_congruence', 'binomial_coefficients',
+    'binomial_coefficients_list', 'multinomial_coefficients',
+    'continued_fraction_periodic', 'continued_fraction_iterator',
+    'continued_fraction_reduce', 'continued_fraction_convergents',
+    'continued_fraction', 'egyptian_fraction',
+
+    # sympy.concrete
+    'product', 'Product', 'summation', 'Sum',
+
+    # sympy.discrete
+    'fft', 'ifft', 'ntt', 'intt', 'fwht', 'ifwht', 'mobius_transform',
+    'inverse_mobius_transform', 'convolution', 'covering_product',
+    'intersecting_product',
+
+    # sympy.simplify
+    'simplify', 'hypersimp', 'hypersimilar', 'logcombine', 'separatevars',
+    'posify', 'besselsimp', 'kroneckersimp', 'signsimp',
+    'nsimplify', 'FU', 'fu', 'sqrtdenest', 'cse', 'epath', 'EPath',
+    'hyperexpand', 'collect', 'rcollect', 'radsimp', 'collect_const',
+    'fraction', 'numer', 'denom', 'trigsimp', 'exptrigsimp', 'powsimp',
+    'powdenest', 'combsimp', 'gammasimp', 'ratsimp', 'ratsimpmodprime',
+
+    # sympy.sets
+    'Set', 'Interval', 'Union', 'EmptySet', 'FiniteSet', 'ProductSet',
+    'Intersection', 'imageset', 'DisjointUnion', 'Complement', 'SymmetricDifference',
+    'ImageSet', 'Range', 'ComplexRegion', 'Reals', 'Contains', 'ConditionSet',
+    'Ordinal', 'OmegaPower', 'ord0', 'PowerSet', 'Naturals',
+    'Naturals0', 'UniversalSet', 'Integers', 'Rationals', 'Complexes',
+
+    # sympy.solvers
+    'solve', 'solve_linear_system', 'solve_linear_system_LU',
+    'solve_undetermined_coeffs', 'nsolve', 'solve_linear', 'checksol',
+    'det_quick', 'inv_quick', 'check_assumptions', 'failing_assumptions',
+    'diophantine', 'rsolve', 'rsolve_poly', 'rsolve_ratio', 'rsolve_hyper',
+    'checkodesol', 'classify_ode', 'dsolve', 'homogeneous_order',
+    'solve_poly_system', 'solve_triangulated', 'pde_separate',
+    'pde_separate_add', 'pde_separate_mul', 'pdsolve', 'classify_pde',
+    'checkpdesol', 'ode_order', 'reduce_inequalities',
+    'reduce_abs_inequality', 'reduce_abs_inequalities',
+    'solve_poly_inequality', 'solve_rational_inequalities',
+    'solve_univariate_inequality', 'decompogen', 'solveset', 'linsolve',
+    'linear_eq_to_matrix', 'nonlinsolve', 'substitution',
+
+    # sympy.matrices
+    'ShapeError', 'NonSquareMatrixError', 'GramSchmidt', 'casoratian', 'diag',
+    'eye', 'hessian', 'jordan_cell', 'list2numpy', 'matrix2numpy',
+    'matrix_multiply_elementwise', 'ones', 'randMatrix', 'rot_axis1',
+    'rot_axis2', 'rot_axis3', 'symarray', 'wronskian', 'zeros',
+    'MutableDenseMatrix', 'DeferredVector', 'MatrixBase', 'Matrix',
+    'MutableMatrix', 'MutableSparseMatrix', 'banded', 'ImmutableDenseMatrix',
+    'ImmutableSparseMatrix', 'ImmutableMatrix', 'SparseMatrix', 'MatrixSlice',
+    'BlockDiagMatrix', 'BlockMatrix', 'FunctionMatrix', 'Identity', 'Inverse',
+    'MatAdd', 'MatMul', 'MatPow', 'MatrixExpr', 'MatrixSymbol', 'Trace',
+    'Transpose', 'ZeroMatrix', 'OneMatrix', 'blockcut', 'block_collapse',
+    'matrix_symbols', 'Adjoint', 'hadamard_product', 'HadamardProduct',
+    'HadamardPower', 'Determinant', 'det', 'diagonalize_vector', 'DiagMatrix',
+    'DiagonalMatrix', 'DiagonalOf', 'trace', 'DotProduct',
+    'kronecker_product', 'KroneckerProduct', 'PermutationMatrix',
+    'MatrixPermute', 'Permanent', 'per', 'rot_ccw_axis1', 'rot_ccw_axis2',
+    'rot_ccw_axis3', 'rot_givens',
+
+    # sympy.geometry
+    'Point', 'Point2D', 'Point3D', 'Line', 'Ray', 'Segment', 'Line2D',
+    'Segment2D', 'Ray2D', 'Line3D', 'Segment3D', 'Ray3D', 'Plane', 'Ellipse',
+    'Circle', 'Polygon', 'RegularPolygon', 'Triangle', 'rad', 'deg',
+    'are_similar', 'centroid', 'convex_hull', 'idiff', 'intersection',
+    'closest_points', 'farthest_points', 'GeometryError', 'Curve', 'Parabola',
+
+    # sympy.utilities
+    'flatten', 'group', 'take', 'subsets', 'variations', 'numbered_symbols',
+    'cartes', 'capture', 'dict_merge', 'prefixes', 'postfixes', 'sift',
+    'topological_sort', 'unflatten', 'has_dups', 'has_variety', 'reshape',
+    'rotations', 'filldedent', 'lambdify', 'threaded', 'xthreaded',
+    'public', 'memoize_property', 'timed',
+
+    # sympy.integrals
+    'integrate', 'Integral', 'line_integrate', 'mellin_transform',
+    'inverse_mellin_transform', 'MellinTransform', 'InverseMellinTransform',
+    'laplace_transform', 'inverse_laplace_transform', 'LaplaceTransform',
+    'laplace_correspondence', 'laplace_initial_conds',
+    'InverseLaplaceTransform', 'fourier_transform',
+    'inverse_fourier_transform', 'FourierTransform',
+    'InverseFourierTransform', 'sine_transform', 'inverse_sine_transform',
+    'SineTransform', 'InverseSineTransform', 'cosine_transform',
+    'inverse_cosine_transform', 'CosineTransform', 'InverseCosineTransform',
+    'hankel_transform', 'inverse_hankel_transform', 'HankelTransform',
+    'InverseHankelTransform', 'singularityintegrate',
+
+    # sympy.tensor
+    'IndexedBase', 'Idx', 'Indexed', 'get_contraction_structure',
+    'get_indices', 'shape', 'MutableDenseNDimArray', 'ImmutableDenseNDimArray',
+    'MutableSparseNDimArray', 'ImmutableSparseNDimArray', 'NDimArray',
+    'tensorproduct', 'tensorcontraction', 'tensordiagonal', 'derive_by_array',
+    'permutedims', 'Array', 'DenseNDimArray', 'SparseNDimArray',
+
+    # sympy.parsing
+    'parse_expr',
+
+    # sympy.calculus
+    'euler_equations', 'singularities', 'is_increasing',
+    'is_strictly_increasing', 'is_decreasing', 'is_strictly_decreasing',
+    'is_monotonic', 'finite_diff_weights', 'apply_finite_diff',
+    'differentiate_finite', 'periodicity', 'not_empty_in',
+    'AccumBounds', 'is_convex', 'stationary_points', 'minimum', 'maximum',
+
+    # sympy.algebras
+    'Quaternion',
+
+    # sympy.printing
+    'pager_print', 'pretty', 'pretty_print', 'pprint', 'pprint_use_unicode',
+    'pprint_try_use_unicode', 'latex', 'print_latex', 'multiline_latex',
+    'mathml', 'print_mathml', 'python', 'print_python', 'pycode', 'ccode',
+    'print_ccode', 'smtlib_code', 'glsl_code', 'print_glsl', 'cxxcode', 'fcode',
+    'print_fcode', 'rcode', 'print_rcode', 'jscode', 'print_jscode',
+    'julia_code', 'mathematica_code', 'octave_code', 'rust_code', 'print_gtk',
+    'preview', 'srepr', 'print_tree', 'StrPrinter', 'sstr', 'sstrrepr',
+    'TableForm', 'dotprint', 'maple_code', 'print_maple_code',
+
+    # sympy.plotting
+    'plot', 'textplot', 'plot_backends', 'plot_implicit', 'plot_parametric',
+
+    # sympy.interactive
+    'init_session', 'init_printing', 'interactive_traversal',
+
+    # sympy.testing
+    'test', 'doctest',
+]
+
+
+#===========================================================================#
+#                                                                           #
+# XXX: The names below were importable before SymPy 1.6 using               #
+#                                                                           #
+#          from sympy import *                                              #
+#                                                                           #
+# This happened implicitly because there was no __all__ defined in this     #
+# __init__.py file. Not every package is imported. The list matches what    #
+# would have been imported before. It is possible that these packages will  #
+# not be imported by a star-import from sympy in future.                    #
+#                                                                           #
+#===========================================================================#
+
+
+__all__.extend((
+    'algebras',
+    'assumptions',
+    'calculus',
+    'concrete',
+    'discrete',
+    'external',
+    'functions',
+    'geometry',
+    'interactive',
+    'multipledispatch',
+    'ntheory',
+    'parsing',
+    'plotting',
+    'polys',
+    'printing',
+    'release',
+    'strategies',
+    'tensor',
+    'utilities',
+))

janus/lib/python3.10/site-packages/sympy/abc.py

@@ -0,0 +1,111 @@
+"""
+This module exports all latin and greek letters as Symbols, so you can
+conveniently do
+
+    >>> from sympy.abc import x, y
+
+instead of the slightly more clunky-looking
+
+    >>> from sympy import symbols
+    >>> x, y = symbols('x y')
+
+Caveats
+=======
+
+1. As of the time of writing this, the names ``O``, ``S``, ``I``, ``N``,
+``E``, and ``Q`` are colliding with names defined in SymPy. If you import them
+from both ``sympy.abc`` and ``sympy``, the second import will "win".
+This is an issue only for * imports, which should only be used for short-lived
+code such as interactive sessions and throwaway scripts that do not survive
+until the next SymPy upgrade, where ``sympy`` may contain a different set of
+names.
+
+2. This module does not define symbol names on demand, i.e.
+``from sympy.abc import foo`` will be reported as an error because
+``sympy.abc`` does not contain the name ``foo``. To get a symbol named ``foo``,
+you still need to use ``Symbol('foo')`` or ``symbols('foo')``.
+You can freely mix usage of ``sympy.abc`` and ``Symbol``/``symbols``, though
+sticking with one and only one way to get the symbols does tend to make the code
+more readable.
+
+The module also defines some special names to help detect which names clash
+with the default SymPy namespace.
+
+``_clash1`` defines all the single letter variables that clash with
+SymPy objects; ``_clash2`` defines the multi-letter clashing symbols;
+and ``_clash`` is the union of both. These can be passed for ``locals``
+during sympification if one desires Symbols rather than the non-Symbol
+objects for those names.
+
+Examples
+========
+
+>>> from sympy import S
+>>> from sympy.abc import _clash1, _clash2, _clash
+>>> S("Q & C", locals=_clash1)
+C & Q
+>>> S('pi(x)', locals=_clash2)
+pi(x)
+>>> S('pi(C, Q)', locals=_clash)
+pi(C, Q)
+
+"""
+
+from typing import Any, Dict as tDict
+
+import string
+
+from .core import Symbol, symbols
+from .core.alphabets import greeks
+from sympy.parsing.sympy_parser import null
+
+##### Symbol definitions #####
+
+# Implementation note: The easiest way to avoid typos in the symbols()
+# parameter is to copy it from the left-hand side of the assignment.
+
+a, b, c, d, e, f, g, h, i, j = symbols('a, b, c, d, e, f, g, h, i, j')
+k, l, m, n, o, p, q, r, s, t = symbols('k, l, m, n, o, p, q, r, s, t')
+u, v, w, x, y, z = symbols('u, v, w, x, y, z')
+
+A, B, C, D, E, F, G, H, I, J = symbols('A, B, C, D, E, F, G, H, I, J')
+K, L, M, N, O, P, Q, R, S, T = symbols('K, L, M, N, O, P, Q, R, S, T')
+U, V, W, X, Y, Z = symbols('U, V, W, X, Y, Z')
+
+alpha, beta, gamma, delta = symbols('alpha, beta, gamma, delta')
+epsilon, zeta, eta, theta = symbols('epsilon, zeta, eta, theta')
+iota, kappa, lamda, mu = symbols('iota, kappa, lamda, mu')
+nu, xi, omicron, pi = symbols('nu, xi, omicron, pi')
+rho, sigma, tau, upsilon = symbols('rho, sigma, tau, upsilon')
+phi, chi, psi, omega = symbols('phi, chi, psi, omega')
+
+
+##### Clashing-symbols diagnostics #####
+
+# We want to know which names in SymPy collide with those in here.
+# This is mostly for diagnosing SymPy's namespace during SymPy development.
+
+_latin = list(string.ascii_letters)
+# QOSINE should not be imported as they clash; gamma, pi and zeta clash, too
+_greek = list(greeks) # make a copy, so we can mutate it
+# Note: We import lamda since lambda is a reserved keyword in Python
+_greek.remove("lambda")
+_greek.append("lamda")
+
+ns: tDict[str, Any] = {}
+exec('from sympy import *', ns)
+_clash1: tDict[str, Any] = {}
+_clash2: tDict[str, Any] = {}
+while ns:
+    _k, _ = ns.popitem()
+    if _k in _greek:
+        _clash2[_k] = null
+        _greek.remove(_k)
+    elif _k in _latin:
+        _clash1[_k] = null
+        _latin.remove(_k)
+_clash = {}
+_clash.update(_clash1)
+_clash.update(_clash2)
+
+del _latin, _greek, Symbol, _k, null

janus/lib/python3.10/site-packages/sympy/conftest.py

@@ -0,0 +1,96 @@
+import sys
+
+sys._running_pytest = True  # type: ignore
+from sympy.external.importtools import version_tuple
+
+import pytest
+from sympy.core.cache import clear_cache, USE_CACHE
+from sympy.external.gmpy import GROUND_TYPES
+from sympy.utilities.misc import ARCH
+import re
+
+try:
+    import hypothesis
+
+    hypothesis.settings.register_profile("sympy_hypothesis_profile", deadline=None)
+    hypothesis.settings.load_profile("sympy_hypothesis_profile")
+except ImportError:
+    raise ImportError(
+        "hypothesis is a required dependency to run the SymPy test suite. "
+        "Install it with 'pip install hypothesis' or 'conda install -c conda-forge hypothesis'"
+    )
+
+
+sp = re.compile(r"([0-9]+)/([1-9][0-9]*)")
+
+
+def process_split(config, items):
+    split = config.getoption("--split")
+    if not split:
+        return
+    m = sp.match(split)
+    if not m:
+        raise ValueError(
+            "split must be a string of the form a/b " "where a and b are ints."
+        )
+    i, t = map(int, m.groups())
+    start, end = (i - 1) * len(items) // t, i * len(items) // t
+
+    if i < t:
+        # remove elements from end of list first
+        del items[end:]
+    del items[:start]
+
+
+def pytest_report_header(config):
+    s = "architecture: %s\n" % ARCH
+    s += "cache:        %s\n" % USE_CACHE
+    version = ""
+    if GROUND_TYPES == "gmpy":
+        import gmpy2
+
+        version = gmpy2.version()
+    elif GROUND_TYPES == "flint":
+        try:
+            from flint import __version__
+        except ImportError:
+            version = "unknown"
+        else:
+            version = f'(python-flint=={__version__})'
+    s += "ground types: %s %s\n" % (GROUND_TYPES, version)
+    return s
+
+
+def pytest_terminal_summary(terminalreporter):
+    if terminalreporter.stats.get("error", None) or terminalreporter.stats.get(
+        "failed", None
+    ):
+        terminalreporter.write_sep(" ", "DO *NOT* COMMIT!", red=True, bold=True)
+
+
+def pytest_addoption(parser):
+    parser.addoption("--split", action="store", default="", help="split tests")
+
+
+def pytest_collection_modifyitems(config, items):
+    """pytest hook."""
+    # handle splits
+    process_split(config, items)
+
+
+@pytest.fixture(autouse=True, scope="module")
+def file_clear_cache():
+    clear_cache()
+
+
+@pytest.fixture(autouse=True, scope="module")
+def check_disabled(request):
+    if getattr(request.module, "disabled", False):
+        pytest.skip("test requirements not met.")
+    elif getattr(request.module, "ipython", False):
+        # need to check version and options for ipython tests
+        if (
+            version_tuple(pytest.__version__) < version_tuple("2.6.3")
+            and pytest.config.getvalue("-s") != "no"
+        ):
+            pytest.skip("run py.test with -s or upgrade to newer version.")

janus/lib/python3.10/site-packages/sympy/discrete/__init__.py

@@ -0,0 +1,20 @@
+"""This module contains functions which operate on discrete sequences.
+
+Transforms - ``fft``, ``ifft``, ``ntt``, ``intt``, ``fwht``, ``ifwht``,
+            ``mobius_transform``, ``inverse_mobius_transform``
+
+Convolutions - ``convolution``, ``convolution_fft``, ``convolution_ntt``,
+            ``convolution_fwht``, ``convolution_subset``,
+            ``covering_product``, ``intersecting_product``
+"""
+
+from .transforms import (fft, ifft, ntt, intt, fwht, ifwht,
+    mobius_transform, inverse_mobius_transform)
+from .convolutions import convolution, covering_product, intersecting_product
+
+__all__ = [
+    'fft', 'ifft', 'ntt', 'intt', 'fwht', 'ifwht', 'mobius_transform',
+    'inverse_mobius_transform',
+
+    'convolution', 'covering_product', 'intersecting_product',
+]

janus/lib/python3.10/site-packages/sympy/discrete/convolutions.py

@@ -0,0 +1,597 @@
+"""
+Convolution (using **FFT**, **NTT**, **FWHT**), Subset Convolution,
+Covering Product, Intersecting Product
+"""
+
+from sympy.core import S, sympify, Rational
+from sympy.core.function import expand_mul
+from sympy.discrete.transforms import (
+    fft, ifft, ntt, intt, fwht, ifwht,
+    mobius_transform, inverse_mobius_transform)
+from sympy.external.gmpy import MPZ, lcm
+from sympy.utilities.iterables import iterable
+from sympy.utilities.misc import as_int
+
+
+def convolution(a, b, cycle=0, dps=None, prime=None, dyadic=None, subset=None):
+    """
+    Performs convolution by determining the type of desired
+    convolution using hints.
+
+    Exactly one of ``dps``, ``prime``, ``dyadic``, ``subset`` arguments
+    should be specified explicitly for identifying the type of convolution,
+    and the argument ``cycle`` can be specified optionally.
+
+    For the default arguments, linear convolution is performed using **FFT**.
+
+    Parameters
+    ==========
+
+    a, b : iterables
+        The sequences for which convolution is performed.
+    cycle : Integer
+        Specifies the length for doing cyclic convolution.
+    dps : Integer
+        Specifies the number of decimal digits for precision for
+        performing **FFT** on the sequence.
+    prime : Integer
+        Prime modulus of the form `(m 2^k + 1)` to be used for
+        performing **NTT** on the sequence.
+    dyadic : bool
+        Identifies the convolution type as dyadic (*bitwise-XOR*)
+        convolution, which is performed using **FWHT**.
+    subset : bool
+        Identifies the convolution type as subset convolution.
+
+    Examples
+    ========
+
+    >>> from sympy import convolution, symbols, S, I
+    >>> u, v, w, x, y, z = symbols('u v w x y z')
+
+    >>> convolution([1 + 2*I, 4 + 3*I], [S(5)/4, 6], dps=3)
+    [1.25 + 2.5*I, 11.0 + 15.8*I, 24.0 + 18.0*I]
+    >>> convolution([1, 2, 3], [4, 5, 6], cycle=3)
+    [31, 31, 28]
+
+    >>> convolution([111, 777], [888, 444], prime=19*2**10 + 1)
+    [1283, 19351, 14219]
+    >>> convolution([111, 777], [888, 444], prime=19*2**10 + 1, cycle=2)
+    [15502, 19351]
+
+    >>> convolution([u, v], [x, y, z], dyadic=True)
+    [u*x + v*y, u*y + v*x, u*z, v*z]
+    >>> convolution([u, v], [x, y, z], dyadic=True, cycle=2)
+    [u*x + u*z + v*y, u*y + v*x + v*z]
+
+    >>> convolution([u, v, w], [x, y, z], subset=True)
+    [u*x, u*y + v*x, u*z + w*x, v*z + w*y]
+    >>> convolution([u, v, w], [x, y, z], subset=True, cycle=3)
+    [u*x + v*z + w*y, u*y + v*x, u*z + w*x]
+
+    """
+
+    c = as_int(cycle)
+    if c < 0:
+        raise ValueError("The length for cyclic convolution "
+                        "must be non-negative")
+
+    dyadic = True if dyadic else None
+    subset = True if subset else None
+    if sum(x is not None for x in (prime, dps, dyadic, subset)) > 1:
+        raise TypeError("Ambiguity in determining the type of convolution")
+
+    if prime is not None:
+        ls = convolution_ntt(a, b, prime=prime)
+        return ls if not c else [sum(ls[i::c]) % prime for i in range(c)]
+
+    if dyadic:
+        ls = convolution_fwht(a, b)
+    elif subset:
+        ls = convolution_subset(a, b)
+    else:
+        def loop(a):
+            dens = []
+            for i in a:
+                if isinstance(i, Rational) and i.q - 1:
+                    dens.append(i.q)
+                elif not isinstance(i, int):
+                    return
+            if dens:
+                l = lcm(*dens)
+                return [i*l if type(i) is int else i.p*(l//i.q) for i in a], l
+            # no lcm of den to deal with
+            return a, 1
+        ls = None
+        da = loop(a)
+        if da is not None:
+            db = loop(b)
+            if db is not None:
+                (ia, ma), (ib, mb) = da, db
+                den = ma*mb
+                ls = convolution_int(ia, ib)
+                if den != 1:
+                    ls = [Rational(i, den) for i in ls]
+        if ls is None:
+            ls = convolution_fft(a, b, dps)
+
+    return ls if not c else [sum(ls[i::c]) for i in range(c)]
+
+
+#----------------------------------------------------------------------------#
+#                                                                            #
+#                       Convolution for Complex domain                       #
+#                                                                            #
+#----------------------------------------------------------------------------#
+
+def convolution_fft(a, b, dps=None):
+    """
+    Performs linear convolution using Fast Fourier Transform.
+
+    Parameters
+    ==========
+
+    a, b : iterables
+        The sequences for which convolution is performed.
+    dps : Integer
+        Specifies the number of decimal digits for precision.
+
+    Examples
+    ========
+
+    >>> from sympy import S, I
+    >>> from sympy.discrete.convolutions import convolution_fft
+
+    >>> convolution_fft([2, 3], [4, 5])
+    [8, 22, 15]
+    >>> convolution_fft([2, 5], [6, 7, 3])
+    [12, 44, 41, 15]
+    >>> convolution_fft([1 + 2*I, 4 + 3*I], [S(5)/4, 6])
+    [5/4 + 5*I/2, 11 + 63*I/4, 24 + 18*I]
+
+    References
+    ==========
+
+    .. [1] https://en.wikipedia.org/wiki/Convolution_theorem
+    .. [2] https://en.wikipedia.org/wiki/Discrete_Fourier_transform_(general%29
+
+    """
+
+    a, b = a[:], b[:]
+    n = m = len(a) + len(b) - 1 # convolution size
+
+    if n > 0 and n&(n - 1): # not a power of 2
+        n = 2**n.bit_length()
+
+    # padding with zeros
+    a += [S.Zero]*(n - len(a))
+    b += [S.Zero]*(n - len(b))
+
+    a, b = fft(a, dps), fft(b, dps)
+    a = [expand_mul(x*y) for x, y in zip(a, b)]
+    a = ifft(a, dps)[:m]
+
+    return a
+
+
+#----------------------------------------------------------------------------#
+#                                                                            #
+#                           Convolution for GF(p)                            #
+#                                                                            #
+#----------------------------------------------------------------------------#
+
+def convolution_ntt(a, b, prime):
+    """
+    Performs linear convolution using Number Theoretic Transform.
+
+    Parameters
+    ==========
+
+    a, b : iterables
+        The sequences for which convolution is performed.
+    prime : Integer
+        Prime modulus of the form `(m 2^k + 1)` to be used for performing
+        **NTT** on the sequence.
+
+    Examples
+    ========
+
+    >>> from sympy.discrete.convolutions import convolution_ntt
+    >>> convolution_ntt([2, 3], [4, 5], prime=19*2**10 + 1)
+    [8, 22, 15]
+    >>> convolution_ntt([2, 5], [6, 7, 3], prime=19*2**10 + 1)
+    [12, 44, 41, 15]
+    >>> convolution_ntt([333, 555], [222, 666], prime=19*2**10 + 1)
+    [15555, 14219, 19404]
+
+    References
+    ==========
+
+    .. [1] https://en.wikipedia.org/wiki/Convolution_theorem
+    .. [2] https://en.wikipedia.org/wiki/Discrete_Fourier_transform_(general%29
+
+    """
+
+    a, b, p = a[:], b[:], as_int(prime)
+    n = m = len(a) + len(b) - 1 # convolution size
+
+    if n > 0 and n&(n - 1): # not a power of 2
+        n = 2**n.bit_length()
+
+    # padding with zeros
+    a += [0]*(n - len(a))
+    b += [0]*(n - len(b))
+
+    a, b = ntt(a, p), ntt(b, p)
+    a = [x*y % p for x, y in zip(a, b)]
+    a = intt(a, p)[:m]
+
+    return a
+
+
+#----------------------------------------------------------------------------#
+#                                                                            #
+#                         Convolution for 2**n-group                         #
+#                                                                            #
+#----------------------------------------------------------------------------#
+
+def convolution_fwht(a, b):
+    """
+    Performs dyadic (*bitwise-XOR*) convolution using Fast Walsh Hadamard
+    Transform.
+
+    The convolution is automatically padded to the right with zeros, as the
+    *radix-2 FWHT* requires the number of sample points to be a power of 2.
+
+    Parameters
+    ==========
+
+    a, b : iterables
+        The sequences for which convolution is performed.
+
+    Examples
+    ========
+
+    >>> from sympy import symbols, S, I
+    >>> from sympy.discrete.convolutions import convolution_fwht
+
+    >>> u, v, x, y = symbols('u v x y')
+    >>> convolution_fwht([u, v], [x, y])
+    [u*x + v*y, u*y + v*x]
+
+    >>> convolution_fwht([2, 3], [4, 5])
+    [23, 22]
+    >>> convolution_fwht([2, 5 + 4*I, 7], [6*I, 7, 3 + 4*I])
+    [56 + 68*I, -10 + 30*I, 6 + 50*I, 48 + 32*I]
+
+    >>> convolution_fwht([S(33)/7, S(55)/6, S(7)/4], [S(2)/3, 5])
+    [2057/42, 1870/63, 7/6, 35/4]
+
+    References
+    ==========
+
+    .. [1] https://www.radioeng.cz/fulltexts/2002/02_03_40_42.pdf
+    .. [2] https://en.wikipedia.org/wiki/Hadamard_transform
+
+    """
+
+    if not a or not b:
+        return []
+
+    a, b = a[:], b[:]
+    n = max(len(a), len(b))
+
+    if n&(n - 1): # not a power of 2
+        n = 2**n.bit_length()
+
+    # padding with zeros
+    a += [S.Zero]*(n - len(a))
+    b += [S.Zero]*(n - len(b))
+
+    a, b = fwht(a), fwht(b)
+    a = [expand_mul(x*y) for x, y in zip(a, b)]
+    a = ifwht(a)
+
+    return a
+
+
+#----------------------------------------------------------------------------#
+#                                                                            #
+#                            Subset Convolution                              #
+#                                                                            #
+#----------------------------------------------------------------------------#
+
+def convolution_subset(a, b):
+    """
+    Performs Subset Convolution of given sequences.
+
+    The indices of each argument, considered as bit strings, correspond to
+    subsets of a finite set.
+
+    The sequence is automatically padded to the right with zeros, as the
+    definition of subset based on bitmasks (indices) requires the size of
+    sequence to be a power of 2.
+
+    Parameters
+    ==========
+
+    a, b : iterables
+        The sequences for which convolution is performed.
+
+    Examples
+    ========
+
+    >>> from sympy import symbols, S
+    >>> from sympy.discrete.convolutions import convolution_subset
+    >>> u, v, x, y, z = symbols('u v x y z')
+
+    >>> convolution_subset([u, v], [x, y])
+    [u*x, u*y + v*x]
+    >>> convolution_subset([u, v, x], [y, z])
+    [u*y, u*z + v*y, x*y, x*z]
+
+    >>> convolution_subset([1, S(2)/3], [3, 4])
+    [3, 6]
+    >>> convolution_subset([1, 3, S(5)/7], [7])
+    [7, 21, 5, 0]
+
+    References
+    ==========
+
+    .. [1] https://people.csail.mit.edu/rrw/presentations/subset-conv.pdf
+
+    """
+
+    if not a or not b:
+        return []
+
+    if not iterable(a) or not iterable(b):
+        raise TypeError("Expected a sequence of coefficients for convolution")
+
+    a = [sympify(arg) for arg in a]
+    b = [sympify(arg) for arg in b]
+    n = max(len(a), len(b))
+
+    if n&(n - 1): # not a power of 2
+        n = 2**n.bit_length()
+
+    # padding with zeros
+    a += [S.Zero]*(n - len(a))
+    b += [S.Zero]*(n - len(b))
+
+    c = [S.Zero]*n
+
+    for mask in range(n):
+        smask = mask
+        while smask > 0:
+            c[mask] += expand_mul(a[smask] * b[mask^smask])
+            smask = (smask - 1)&mask
+
+        c[mask] += expand_mul(a[smask] * b[mask^smask])
+
+    return c
+
+
+#----------------------------------------------------------------------------#
+#                                                                            #
+#                              Covering Product                              #
+#                                                                            #
+#----------------------------------------------------------------------------#
+
+def covering_product(a, b):
+    """
+    Returns the covering product of given sequences.
+
+    The indices of each argument, considered as bit strings, correspond to
+    subsets of a finite set.
+
+    The covering product of given sequences is a sequence which contains
+    the sum of products of the elements of the given sequences grouped by
+    the *bitwise-OR* of the corresponding indices.
+
+    The sequence is automatically padded to the right with zeros, as the
+    definition of subset based on bitmasks (indices) requires the size of
+    sequence to be a power of 2.
+
+    Parameters
+    ==========
+
+    a, b : iterables
+        The sequences for which covering product is to be obtained.
+
+    Examples
+    ========
+
+    >>> from sympy import symbols, S, I, covering_product
+    >>> u, v, x, y, z = symbols('u v x y z')
+
+    >>> covering_product([u, v], [x, y])
+    [u*x, u*y + v*x + v*y]
+    >>> covering_product([u, v, x], [y, z])
+    [u*y, u*z + v*y + v*z, x*y, x*z]
+
+    >>> covering_product([1, S(2)/3], [3, 4 + 5*I])
+    [3, 26/3 + 25*I/3]
+    >>> covering_product([1, 3, S(5)/7], [7, 8])
+    [7, 53, 5, 40/7]
+
+    References
+    ==========
+
+    .. [1] https://people.csail.mit.edu/rrw/presentations/subset-conv.pdf
+
+    """
+
+    if not a or not b:
+        return []
+
+    a, b = a[:], b[:]
+    n = max(len(a), len(b))
+
+    if n&(n - 1): # not a power of 2
+        n = 2**n.bit_length()
+
+    # padding with zeros
+    a += [S.Zero]*(n - len(a))
+    b += [S.Zero]*(n - len(b))
+
+    a, b = mobius_transform(a), mobius_transform(b)
+    a = [expand_mul(x*y) for x, y in zip(a, b)]
+    a = inverse_mobius_transform(a)
+
+    return a
+
+
+#----------------------------------------------------------------------------#
+#                                                                            #
+#                            Intersecting Product                            #
+#                                                                            #
+#----------------------------------------------------------------------------#
+
+def intersecting_product(a, b):
+    """
+    Returns the intersecting product of given sequences.
+
+    The indices of each argument, considered as bit strings, correspond to
+    subsets of a finite set.
+
+    The intersecting product of given sequences is the sequence which
+    contains the sum of products of the elements of the given sequences
+    grouped by the *bitwise-AND* of the corresponding indices.
+
+    The sequence is automatically padded to the right with zeros, as the
+    definition of subset based on bitmasks (indices) requires the size of
+    sequence to be a power of 2.
+
+    Parameters
+    ==========
+
+    a, b : iterables
+        The sequences for which intersecting product is to be obtained.
+
+    Examples
+    ========
+
+    >>> from sympy import symbols, S, I, intersecting_product
+    >>> u, v, x, y, z = symbols('u v x y z')
+
+    >>> intersecting_product([u, v], [x, y])
+    [u*x + u*y + v*x, v*y]
+    >>> intersecting_product([u, v, x], [y, z])
+    [u*y + u*z + v*y + x*y + x*z, v*z, 0, 0]
+
+    >>> intersecting_product([1, S(2)/3], [3, 4 + 5*I])
+    [9 + 5*I, 8/3 + 10*I/3]
+    >>> intersecting_product([1, 3, S(5)/7], [7, 8])
+    [327/7, 24, 0, 0]
+
+    References
+    ==========
+
+    .. [1] https://people.csail.mit.edu/rrw/presentations/subset-conv.pdf
+
+    """
+
+    if not a or not b:
+        return []
+
+    a, b = a[:], b[:]
+    n = max(len(a), len(b))
+
+    if n&(n - 1): # not a power of 2
+        n = 2**n.bit_length()
+
+    # padding with zeros
+    a += [S.Zero]*(n - len(a))
+    b += [S.Zero]*(n - len(b))
+
+    a, b = mobius_transform(a, subset=False), mobius_transform(b, subset=False)
+    a = [expand_mul(x*y) for x, y in zip(a, b)]
+    a = inverse_mobius_transform(a, subset=False)
+
+    return a
+
+
+#----------------------------------------------------------------------------#
+#                                                                            #
+#                            Integer Convolutions                            #
+#                                                                            #
+#----------------------------------------------------------------------------#
+
+def convolution_int(a, b):
+    """Return the convolution of two sequences as a list.
+
+    The iterables must consist solely of integers.
+
+    Parameters
+    ==========
+
+    a, b : Sequence
+        The sequences for which convolution is performed.
+
+    Explanation
+    ===========
+
+    This function performs the convolution of ``a`` and ``b`` by packing
+    each into a single integer, multiplying them together, and then
+    unpacking the result from the product.  The intuition behind this is
+    that if we evaluate some polynomial [1]:
+
+    .. math ::
+        1156x^6 + 3808x^5 + 8440x^4 + 14856x^3 + 16164x^2 + 14040x + 8100
+
+    at say $x = 10^5$ we obtain $1156038080844014856161641404008100$.
+    Note we can read of the coefficients for each term every five digits.
+    If the $x$ we chose to evaluate at is large enough, the same will hold
+    for the product.
+
+    The idea now is since big integer multiplication in libraries such
+    as GMP is highly optimised, this will be reasonably fast.
+
+    Examples
+    ========
+
+    >>> from sympy.discrete.convolutions import convolution_int
+
+    >>> convolution_int([2, 3], [4, 5])
+    [8, 22, 15]
+    >>> convolution_int([1, 1, -1], [1, 1])
+    [1, 2, 0, -1]
+
+    References
+    ==========
+
+    .. [1] Fateman, Richard J.
+           Can you save time in multiplying polynomials by encoding them as integers?
+           University of California, Berkeley, California (2004).
+           https://people.eecs.berkeley.edu/~fateman/papers/polysbyGMP.pdf
+    """
+    # An upper bound on the largest coefficient in p(x)q(x) is given by (1 + min(dp, dq))N(p)N(q)
+    # where dp = deg(p), dq = deg(q), N(f) denotes the coefficient of largest modulus in f [1]
+    B = max(abs(c) for c in a)*max(abs(c) for c in b)*(1 + min(len(a) - 1, len(b) - 1))
+    x, power = MPZ(1), 0
+    while x <= (2*B):  # multiply by two for negative coefficients, see [1]
+        x <<= 1
+        power += 1
+
+    def to_integer(poly):
+        n, mul = MPZ(0), 0
+        for c in reversed(poly):
+            if c and not mul: mul = -1 if c < 0 else 1
+            n <<= power
+            n += mul*int(c)
+        return mul, n
+
+    # Perform packing and multiplication
+    (a_mul, a_packed), (b_mul, b_packed) = to_integer(a), to_integer(b)
+    result = a_packed * b_packed
+
+    # Perform unpacking
+    mul = a_mul * b_mul
+    mask, half, borrow, poly = x - 1, x >> 1, 0, []
+    while result or borrow:
+        coeff = (result & mask) + borrow
+        result >>= power
+        borrow = coeff >= half
+        poly.append(mul * int(coeff if coeff < half else coeff - x))
+    return poly or [0]

janus/lib/python3.10/site-packages/sympy/discrete/recurrences.py

@@ -0,0 +1,166 @@
+"""
+Recurrences
+"""
+
+from sympy.core import S, sympify
+from sympy.utilities.iterables import iterable
+from sympy.utilities.misc import as_int
+
+
+def linrec(coeffs, init, n):
+    r"""
+    Evaluation of univariate linear recurrences of homogeneous type
+    having coefficients independent of the recurrence variable.
+
+    Parameters
+    ==========
+
+    coeffs : iterable
+        Coefficients of the recurrence
+    init : iterable
+        Initial values of the recurrence
+    n : Integer
+        Point of evaluation for the recurrence
+
+    Notes
+    =====
+
+    Let `y(n)` be the recurrence of given type, ``c`` be the sequence
+    of coefficients, ``b`` be the sequence of initial/base values of the
+    recurrence and ``k`` (equal to ``len(c)``) be the order of recurrence.
+    Then,
+
+    .. math :: y(n) = \begin{cases} b_n & 0 \le n < k \\
+        c_0 y(n-1) + c_1 y(n-2) + \cdots + c_{k-1} y(n-k) & n \ge k
+        \end{cases}
+
+    Let `x_0, x_1, \ldots, x_n` be a sequence and consider the transformation
+    that maps each polynomial `f(x)` to `T(f(x))` where each power `x^i` is
+    replaced by the corresponding value `x_i`. The sequence is then a solution
+    of the recurrence if and only if `T(x^i p(x)) = 0` for each `i \ge 0` where
+    `p(x) = x^k - c_0 x^(k-1) - \cdots - c_{k-1}` is the characteristic
+    polynomial.
+
+    Then `T(f(x)p(x)) = 0` for each polynomial `f(x)` (as it is a linear
+    combination of powers `x^i`). Now, if `x^n` is congruent to
+    `g(x) = a_0 x^0 + a_1 x^1 + \cdots + a_{k-1} x^{k-1}` modulo `p(x)`, then
+    `T(x^n) = x_n` is equal to
+    `T(g(x)) = a_0 x_0 + a_1 x_1 + \cdots + a_{k-1} x_{k-1}`.
+
+    Computation of `x^n`,
+    given `x^k = c_0 x^{k-1} + c_1 x^{k-2} + \cdots + c_{k-1}`
+    is performed using exponentiation by squaring (refer to [1_]) with
+    an additional reduction step performed to retain only first `k` powers
+    of `x` in the representation of `x^n`.
+
+    Examples
+    ========
+
+    >>> from sympy.discrete.recurrences import linrec
+    >>> from sympy.abc import x, y, z
+
+    >>> linrec(coeffs=[1, 1], init=[0, 1], n=10)
+    55
+
+    >>> linrec(coeffs=[1, 1], init=[x, y], n=10)
+    34*x + 55*y
+
+    >>> linrec(coeffs=[x, y], init=[0, 1], n=5)
+    x**2*y + x*(x**3 + 2*x*y) + y**2
+
+    >>> linrec(coeffs=[1, 2, 3, 0, 0, 4], init=[x, y, z], n=16)
+    13576*x + 5676*y + 2356*z
+
+    References
+    ==========
+
+    .. [1] https://en.wikipedia.org/wiki/Exponentiation_by_squaring
+    .. [2] https://en.wikipedia.org/w/index.php?title=Modular_exponentiation&section=6#Matrices
+
+    See Also
+    ========
+
+    sympy.polys.agca.extensions.ExtensionElement.__pow__
+
+    """
+
+    if not coeffs:
+        return S.Zero
+
+    if not iterable(coeffs):
+        raise TypeError("Expected a sequence of coefficients for"
+                        " the recurrence")
+
+    if not iterable(init):
+        raise TypeError("Expected a sequence of values for the initialization"
+                        " of the recurrence")
+
+    n = as_int(n)
+    if n < 0:
+        raise ValueError("Point of evaluation of recurrence must be a "
+                        "non-negative integer")
+
+    c = [sympify(arg) for arg in coeffs]
+    b = [sympify(arg) for arg in init]
+    k = len(c)
+
+    if len(b) > k:
+        raise TypeError("Count of initial values should not exceed the "
+                        "order of the recurrence")
+    else:
+        b += [S.Zero]*(k - len(b)) # remaining initial values default to zero
+
+    if n < k:
+        return b[n]
+    terms = [u*v for u, v in zip(linrec_coeffs(c, n), b)]
+    return sum(terms[:-1], terms[-1])
+
+
+def linrec_coeffs(c, n):
+    r"""
+    Compute the coefficients of n'th term in linear recursion
+    sequence defined by c.
+
+    `x^k = c_0 x^{k-1} + c_1 x^{k-2} + \cdots + c_{k-1}`.
+
+    It computes the coefficients by using binary exponentiation.
+    This function is used by `linrec` and `_eval_pow_by_cayley`.
+
+    Parameters
+    ==========
+
+    c = coefficients of the divisor polynomial
+    n = exponent of x, so dividend is x^n
+
+    """
+
+    k = len(c)
+
+    def _square_and_reduce(u, offset):
+        # squares `(u_0 + u_1 x + u_2 x^2 + \cdots + u_{k-1} x^k)` (and
+        # multiplies by `x` if offset is 1) and reduces the above result of
+        # length upto `2k` to `k` using the characteristic equation of the
+        # recurrence given by, `x^k = c_0 x^{k-1} + c_1 x^{k-2} + \cdots + c_{k-1}`
+
+        w = [S.Zero]*(2*len(u) - 1 + offset)
+        for i, p in enumerate(u):
+            for j, q in enumerate(u):
+                w[offset + i + j] += p*q
+
+        for j in range(len(w) - 1, k - 1, -1):
+            for i in range(k):
+                w[j - i - 1] += w[j]*c[i]
+
+        return w[:k]
+
+    def _final_coeffs(n):
+        # computes the final coefficient list - `cf` corresponding to the
+        # point at which recurrence is to be evalauted - `n`, such that,
+        # `y(n) = cf_0 y(k-1) + cf_1 y(k-2) + \cdots + cf_{k-1} y(0)`
+
+        if n < k:
+            return [S.Zero]*n + [S.One] + [S.Zero]*(k - n - 1)
+        else:
+            return _square_and_reduce(_final_coeffs(n // 2), n % 2)
+
+    return _final_coeffs(n)

janus/lib/python3.10/site-packages/sympy/discrete/tests/test_recurrences.py

@@ -0,0 +1,59 @@
+from sympy.core.numbers import Rational
+from sympy.functions.combinatorial.numbers import fibonacci
+from sympy.core import S, symbols
+from sympy.testing.pytest import raises
+from sympy.discrete.recurrences import linrec
+
+def test_linrec():
+    assert linrec(coeffs=[1, 1], init=[1, 1], n=20) == 10946
+    assert linrec(coeffs=[1, 2, 3, 4, 5], init=[1, 1, 0, 2], n=10) == 1040
+    assert linrec(coeffs=[0, 0, 11, 13], init=[23, 27], n=25) == 59628567384
+    assert linrec(coeffs=[0, 0, 1, 1, 2], init=[1, 5, 3], n=15) == 165
+    assert linrec(coeffs=[11, 13, 15, 17], init=[1, 2, 3, 4], n=70) == \
+        56889923441670659718376223533331214868804815612050381493741233489928913241
+    assert linrec(coeffs=[0]*55 + [1, 1, 2, 3], init=[0]*50 + [1, 2, 3], n=4000) == \
+        702633573874937994980598979769135096432444135301118916539
+
+    assert linrec(coeffs=[11, 13, 15, 17], init=[1, 2, 3, 4], n=10**4)
+    assert linrec(coeffs=[11, 13, 15, 17], init=[1, 2, 3, 4], n=10**5)
+
+    assert all(linrec(coeffs=[1, 1], init=[0, 1], n=n) == fibonacci(n)
+                                                    for n in range(95, 115))
+
+    assert all(linrec(coeffs=[1, 1], init=[1, 1], n=n) == fibonacci(n + 1)
+                                                    for n in range(595, 615))
+
+    a = [S.Half, Rational(3, 4), Rational(5, 6), 7, Rational(8, 9), Rational(3, 5)]
+    b = [1, 2, 8, Rational(5, 7), Rational(3, 7), Rational(2, 9), 6]
+    x, y, z = symbols('x y z')
+
+    assert linrec(coeffs=a[:5], init=b[:4], n=80) == \
+        Rational(1726244235456268979436592226626304376013002142588105090705187189,
+            1960143456748895967474334873705475211264)
+
+    assert linrec(coeffs=a[:4], init=b[:4], n=50) == \
+        Rational(368949940033050147080268092104304441, 504857282956046106624)
+
+    assert linrec(coeffs=a[3:], init=b[:3], n=35) == \
+        Rational(97409272177295731943657945116791049305244422833125109,
+            814315512679031689453125)
+
+    assert linrec(coeffs=[0]*60 + [Rational(2, 3), Rational(4, 5)], init=b, n=3000) == \
+        Rational(26777668739896791448594650497024, 48084516708184142230517578125)
+
+    raises(TypeError, lambda: linrec(coeffs=[11, 13, 15, 17], init=[1, 2, 3, 4, 5], n=1))
+    raises(TypeError, lambda: linrec(coeffs=a[:4], init=b[:5], n=10000))
+    raises(ValueError, lambda: linrec(coeffs=a[:4], init=b[:4], n=-10000))
+    raises(TypeError, lambda: linrec(x, b, n=10000))
+    raises(TypeError, lambda: linrec(a, y, n=10000))
+
+    assert linrec(coeffs=[x, y, z], init=[1, 1, 1], n=4) == \
+        x**2  + x*y + x*z + y + z
+    assert linrec(coeffs=[1, 2, 1], init=[x, y, z], n=20) == \
+        269542*x + 664575*y + 578949*z
+    assert linrec(coeffs=[0, 3, 1, 2], init=[x, y], n=30) == \
+        58516436*x + 56372788*y
+    assert linrec(coeffs=[0]*50 + [1, 2, 3], init=[x, y, z], n=1000) == \
+        11477135884896*x + 25999077948732*y + 41975630244216*z
+    assert linrec(coeffs=[], init=[1, 1], n=20) == 0
+    assert linrec(coeffs=[x, y, z], init=[1, 2, 3], n=2) == 3

janus/lib/python3.10/site-packages/sympy/discrete/tests/test_transforms.py

@@ -0,0 +1,154 @@
+from sympy.functions.elementary.miscellaneous import sqrt
+from sympy.core import S, Symbol, symbols, I, Rational
+from sympy.discrete import (fft, ifft, ntt, intt, fwht, ifwht,
+    mobius_transform, inverse_mobius_transform)
+from sympy.testing.pytest import raises
+
+
+def test_fft_ifft():
+    assert all(tf(ls) == ls for tf in (fft, ifft)
+                            for ls in ([], [Rational(5, 3)]))
+
+    ls = list(range(6))
+    fls = [15, -7*sqrt(2)/2 - 4 - sqrt(2)*I/2 + 2*I, 2 + 3*I,
+             -4 + 7*sqrt(2)/2 - 2*I - sqrt(2)*I/2, -3,
+             -4 + 7*sqrt(2)/2 + sqrt(2)*I/2 + 2*I,
+              2 - 3*I, -7*sqrt(2)/2 - 4 - 2*I + sqrt(2)*I/2]
+
+    assert fft(ls) == fls
+    assert ifft(fls) == ls + [S.Zero]*2
+
+    ls = [1 + 2*I, 3 + 4*I, 5 + 6*I]
+    ifls = [Rational(9, 4) + 3*I, I*Rational(-7, 4), Rational(3, 4) + I, -2 - I/4]
+
+    assert ifft(ls) == ifls
+    assert fft(ifls) == ls + [S.Zero]
+
+    x = Symbol('x', real=True)
+    raises(TypeError, lambda: fft(x))
+    raises(ValueError, lambda: ifft([x, 2*x, 3*x**2, 4*x**3]))
+
+
+def test_ntt_intt():
+    # prime moduli of the form (m*2**k + 1), sequence length
+    # should be a divisor of 2**k
+    p = 7*17*2**23 + 1
+    q = 2*500000003 + 1 # only for sequences of length 1 or 2
+    r = 2*3*5*7 # composite modulus
+
+    assert all(tf(ls, p) == ls for tf in (ntt, intt)
+                                for ls in ([], [5]))
+
+    ls = list(range(6))
+    nls = [15, 801133602, 738493201, 334102277, 998244350, 849020224,
+            259751156, 12232587]
+
+    assert ntt(ls, p) == nls
+    assert intt(nls, p) == ls + [0]*2
+
+    ls = [1 + 2*I, 3 + 4*I, 5 + 6*I]
+    x = Symbol('x', integer=True)
+
+    raises(TypeError, lambda: ntt(x, p))
+    raises(ValueError, lambda: intt([x, 2*x, 3*x**2, 4*x**3], p))
+    raises(ValueError, lambda: intt(ls, p))
+    raises(ValueError, lambda: ntt([1.2, 2.1, 3.5], p))
+    raises(ValueError, lambda: ntt([3, 5, 6], q))
+    raises(ValueError, lambda: ntt([4, 5, 7], r))
+    raises(ValueError, lambda: ntt([1.0, 2.0, 3.0], p))
+
+
+def test_fwht_ifwht():
+    assert all(tf(ls) == ls for tf in (fwht, ifwht) \
+                        for ls in ([], [Rational(7, 4)]))
+
+    ls = [213, 321, 43235, 5325, 312, 53]
+    fls = [49459, 38061, -47661, -37759, 48729, 37543, -48391, -38277]
+
+    assert fwht(ls) == fls
+    assert ifwht(fls) == ls + [S.Zero]*2
+
+    ls = [S.Half + 2*I, Rational(3, 7) + 4*I, Rational(5, 6) + 6*I, Rational(7, 3), Rational(9, 4)]
+    ifls = [Rational(533, 672) + I*3/2, Rational(23, 224) + I/2, Rational(1, 672), Rational(107, 224) - I,
+        Rational(155, 672) + I*3/2, Rational(-103, 224) + I/2, Rational(-377, 672), Rational(-19, 224) - I]
+
+    assert ifwht(ls) == ifls
+    assert fwht(ifls) == ls + [S.Zero]*3
+
+    x, y = symbols('x y')
+
+    raises(TypeError, lambda: fwht(x))
+
+    ls = [x, 2*x, 3*x**2, 4*x**3]
+    ifls = [x**3 + 3*x**2/4 + x*Rational(3, 4),
+        -x**3 + 3*x**2/4 - x/4,
+        -x**3 - 3*x**2/4 + x*Rational(3, 4),
+        x**3 - 3*x**2/4 - x/4]
+
+    assert ifwht(ls) == ifls
+    assert fwht(ifls) == ls
+
+    ls = [x, y, x**2, y**2, x*y]
+    fls = [x**2 + x*y + x + y**2 + y,
+        x**2 + x*y + x - y**2 - y,
+        -x**2 + x*y + x - y**2 + y,
+        -x**2 + x*y + x + y**2 - y,
+        x**2 - x*y + x + y**2 + y,
+        x**2 - x*y + x - y**2 - y,
+        -x**2 - x*y + x - y**2 + y,
+        -x**2 - x*y + x + y**2 - y]
+
+    assert fwht(ls) == fls
+    assert ifwht(fls) == ls + [S.Zero]*3
+
+    ls = list(range(6))
+
+    assert fwht(ls) == [x*8 for x in ifwht(ls)]
+
+
+def test_mobius_transform():
+    assert all(tf(ls, subset=subset) == ls
+                for ls in ([], [Rational(7, 4)]) for subset in (True, False)
+                for tf in (mobius_transform, inverse_mobius_transform))
+
+    w, x, y, z = symbols('w x y z')
+
+    assert mobius_transform([x, y]) == [x, x + y]
+    assert inverse_mobius_transform([x, x + y]) == [x, y]
+    assert mobius_transform([x, y], subset=False) == [x + y, y]
+    assert inverse_mobius_transform([x + y, y], subset=False) == [x, y]
+
+    assert mobius_transform([w, x, y, z]) == [w, w + x, w + y, w + x + y + z]
+    assert inverse_mobius_transform([w, w + x, w + y, w + x + y + z]) == \
+            [w, x, y, z]
+    assert mobius_transform([w, x, y, z], subset=False) == \
+            [w + x + y + z, x + z, y + z, z]
+    assert inverse_mobius_transform([w + x + y + z, x + z, y + z, z], subset=False) == \
+            [w, x, y, z]
+
+    ls = [Rational(2, 3), Rational(6, 7), Rational(5, 8), 9, Rational(5, 3) + 7*I]
+    mls = [Rational(2, 3), Rational(32, 21), Rational(31, 24), Rational(1873, 168),
+            Rational(7, 3) + 7*I, Rational(67, 21) + 7*I, Rational(71, 24) + 7*I,
+            Rational(2153, 168) + 7*I]
+
+    assert mobius_transform(ls) == mls
+    assert inverse_mobius_transform(mls) == ls + [S.Zero]*3
+
+    mls = [Rational(2153, 168) + 7*I, Rational(69, 7), Rational(77, 8), 9, Rational(5, 3) + 7*I, 0, 0, 0]
+
+    assert mobius_transform(ls, subset=False) == mls
+    assert inverse_mobius_transform(mls, subset=False) == ls + [S.Zero]*3
+
+    ls = ls[:-1]
+    mls = [Rational(2, 3), Rational(32, 21), Rational(31, 24), Rational(1873, 168)]
+
+    assert mobius_transform(ls) == mls
+    assert inverse_mobius_transform(mls) == ls
+
+    mls = [Rational(1873, 168), Rational(69, 7), Rational(77, 8), 9]
+
+    assert mobius_transform(ls, subset=False) == mls
+    assert inverse_mobius_transform(mls, subset=False) == ls
+
+    raises(TypeError, lambda: mobius_transform(x, subset=True))
+    raises(TypeError, lambda: inverse_mobius_transform(y, subset=False))

janus/lib/python3.10/site-packages/sympy/discrete/transforms.py

@@ -0,0 +1,425 @@
+"""
+Discrete Fourier Transform, Number Theoretic Transform,
+Walsh Hadamard Transform, Mobius Transform
+"""
+
+from sympy.core import S, Symbol, sympify
+from sympy.core.function import expand_mul
+from sympy.core.numbers import pi, I
+from sympy.functions.elementary.trigonometric import sin, cos
+from sympy.ntheory import isprime, primitive_root
+from sympy.utilities.iterables import ibin, iterable
+from sympy.utilities.misc import as_int
+
+
+#----------------------------------------------------------------------------#
+#                                                                            #
+#                         Discrete Fourier Transform                         #
+#                                                                            #
+#----------------------------------------------------------------------------#
+
+def _fourier_transform(seq, dps, inverse=False):
+    """Utility function for the Discrete Fourier Transform"""
+
+    if not iterable(seq):
+        raise TypeError("Expected a sequence of numeric coefficients "
+                        "for Fourier Transform")
+
+    a = [sympify(arg) for arg in seq]
+    if any(x.has(Symbol) for x in a):
+        raise ValueError("Expected non-symbolic coefficients")
+
+    n = len(a)
+    if n < 2:
+        return a
+
+    b = n.bit_length() - 1
+    if n&(n - 1): # not a power of 2
+        b += 1
+        n = 2**b
+
+    a += [S.Zero]*(n - len(a))
+    for i in range(1, n):
+        j = int(ibin(i, b, str=True)[::-1], 2)
+        if i < j:
+            a[i], a[j] = a[j], a[i]
+
+    ang = -2*pi/n if inverse else 2*pi/n
+
+    if dps is not None:
+        ang = ang.evalf(dps + 2)
+
+    w = [cos(ang*i) + I*sin(ang*i) for i in range(n // 2)]
+
+    h = 2
+    while h <= n:
+        hf, ut = h // 2, n // h
+        for i in range(0, n, h):
+            for j in range(hf):
+                u, v = a[i + j], expand_mul(a[i + j + hf]*w[ut * j])
+                a[i + j], a[i + j + hf] = u + v, u - v
+        h *= 2
+
+    if inverse:
+        a = [(x/n).evalf(dps) for x in a] if dps is not None \
+                            else [x/n for x in a]
+
+    return a
+
+
+def fft(seq, dps=None):
+    r"""
+    Performs the Discrete Fourier Transform (**DFT**) in the complex domain.
+
+    The sequence is automatically padded to the right with zeros, as the
+    *radix-2 FFT* requires the number of sample points to be a power of 2.
+
+    This method should be used with default arguments only for short sequences
+    as the complexity of expressions increases with the size of the sequence.
+
+    Parameters
+    ==========
+
+    seq : iterable
+        The sequence on which **DFT** is to be applied.
+    dps : Integer
+        Specifies the number of decimal digits for precision.
+
+    Examples
+    ========
+
+    >>> from sympy import fft, ifft
+
+    >>> fft([1, 2, 3, 4])
+    [10, -2 - 2*I, -2, -2 + 2*I]
+    >>> ifft(_)
+    [1, 2, 3, 4]
+
+    >>> ifft([1, 2, 3, 4])
+    [5/2, -1/2 + I/2, -1/2, -1/2 - I/2]
+    >>> fft(_)
+    [1, 2, 3, 4]
+
+    >>> ifft([1, 7, 3, 4], dps=15)
+    [3.75, -0.5 - 0.75*I, -1.75, -0.5 + 0.75*I]
+    >>> fft(_)
+    [1.0, 7.0, 3.0, 4.0]
+
+    References
+    ==========
+
+    .. [1] https://en.wikipedia.org/wiki/Cooley%E2%80%93Tukey_FFT_algorithm
+    .. [2] https://mathworld.wolfram.com/FastFourierTransform.html
+
+    """
+
+    return _fourier_transform(seq, dps=dps)
+
+
+def ifft(seq, dps=None):
+    return _fourier_transform(seq, dps=dps, inverse=True)
+
+ifft.__doc__ = fft.__doc__
+
+
+#----------------------------------------------------------------------------#
+#                                                                            #
+#                         Number Theoretic Transform                         #
+#                                                                            #
+#----------------------------------------------------------------------------#
+
+def _number_theoretic_transform(seq, prime, inverse=False):
+    """Utility function for the Number Theoretic Transform"""
+
+    if not iterable(seq):
+        raise TypeError("Expected a sequence of integer coefficients "
+                        "for Number Theoretic Transform")
+
+    p = as_int(prime)
+    if not isprime(p):
+        raise ValueError("Expected prime modulus for "
+                        "Number Theoretic Transform")
+
+    a = [as_int(x) % p for x in seq]
+
+    n = len(a)
+    if n < 1:
+        return a
+
+    b = n.bit_length() - 1
+    if n&(n - 1):
+        b += 1
+        n = 2**b
+
+    if (p - 1) % n:
+        raise ValueError("Expected prime modulus of the form (m*2**k + 1)")
+
+    a += [0]*(n - len(a))
+    for i in range(1, n):
+        j = int(ibin(i, b, str=True)[::-1], 2)
+        if i < j:
+            a[i], a[j] = a[j], a[i]
+
+    pr = primitive_root(p)
+
+    rt = pow(pr, (p - 1) // n, p)
+    if inverse:
+        rt = pow(rt, p - 2, p)
+
+    w = [1]*(n // 2)
+    for i in range(1, n // 2):
+        w[i] = w[i - 1]*rt % p
+
+    h = 2
+    while h <= n:
+        hf, ut = h // 2, n // h
+        for i in range(0, n, h):
+            for j in range(hf):
+                u, v = a[i + j], a[i + j + hf]*w[ut * j]
+                a[i + j], a[i + j + hf] = (u + v) % p, (u - v) % p
+        h *= 2
+
+    if inverse:
+        rv = pow(n, p - 2, p)
+        a = [x*rv % p for x in a]
+
+    return a
+
+
+def ntt(seq, prime):
+    r"""
+    Performs the Number Theoretic Transform (**NTT**), which specializes the
+    Discrete Fourier Transform (**DFT**) over quotient ring `Z/pZ` for prime
+    `p` instead of complex numbers `C`.
+
+    The sequence is automatically padded to the right with zeros, as the
+    *radix-2 NTT* requires the number of sample points to be a power of 2.
+
+    Parameters
+    ==========
+
+    seq : iterable
+        The sequence on which **DFT** is to be applied.
+    prime : Integer
+        Prime modulus of the form `(m 2^k + 1)` to be used for performing
+        **NTT** on the sequence.
+
+    Examples
+    ========
+
+    >>> from sympy import ntt, intt
+    >>> ntt([1, 2, 3, 4], prime=3*2**8 + 1)
+    [10, 643, 767, 122]
+    >>> intt(_, 3*2**8 + 1)
+    [1, 2, 3, 4]
+    >>> intt([1, 2, 3, 4], prime=3*2**8 + 1)
+    [387, 415, 384, 353]
+    >>> ntt(_, prime=3*2**8 + 1)
+    [1, 2, 3, 4]
+
+    References
+    ==========
+
+    .. [1] http://www.apfloat.org/ntt.html
+    .. [2] https://mathworld.wolfram.com/NumberTheoreticTransform.html
+    .. [3] https://en.wikipedia.org/wiki/Discrete_Fourier_transform_(general%29
+
+    """
+
+    return _number_theoretic_transform(seq, prime=prime)
+
+
+def intt(seq, prime):
+    return _number_theoretic_transform(seq, prime=prime, inverse=True)
+
+intt.__doc__ = ntt.__doc__
+
+
+#----------------------------------------------------------------------------#
+#                                                                            #
+#                          Walsh Hadamard Transform                          #
+#                                                                            #
+#----------------------------------------------------------------------------#
+
+def _walsh_hadamard_transform(seq, inverse=False):
+    """Utility function for the Walsh Hadamard Transform"""
+
+    if not iterable(seq):
+        raise TypeError("Expected a sequence of coefficients "
+                        "for Walsh Hadamard Transform")
+
+    a = [sympify(arg) for arg in seq]
+    n = len(a)
+    if n < 2:
+        return a
+
+    if n&(n - 1):
+        n = 2**n.bit_length()
+
+    a += [S.Zero]*(n - len(a))
+    h = 2
+    while h <= n:
+        hf = h // 2
+        for i in range(0, n, h):
+            for j in range(hf):
+                u, v = a[i + j], a[i + j + hf]
+                a[i + j], a[i + j + hf] = u + v, u - v
+        h *= 2
+
+    if inverse:
+        a = [x/n for x in a]
+
+    return a
+
+
+def fwht(seq):
+    r"""
+    Performs the Walsh Hadamard Transform (**WHT**), and uses Hadamard
+    ordering for the sequence.
+
+    The sequence is automatically padded to the right with zeros, as the
+    *radix-2 FWHT* requires the number of sample points to be a power of 2.
+
+    Parameters
+    ==========
+
+    seq : iterable
+        The sequence on which WHT is to be applied.
+
+    Examples
+    ========
+
+    >>> from sympy import fwht, ifwht
+    >>> fwht([4, 2, 2, 0, 0, 2, -2, 0])
+    [8, 0, 8, 0, 8, 8, 0, 0]
+    >>> ifwht(_)
+    [4, 2, 2, 0, 0, 2, -2, 0]
+
+    >>> ifwht([19, -1, 11, -9, -7, 13, -15, 5])
+    [2, 0, 4, 0, 3, 10, 0, 0]
+    >>> fwht(_)
+    [19, -1, 11, -9, -7, 13, -15, 5]
+
+    References
+    ==========
+
+    .. [1] https://en.wikipedia.org/wiki/Hadamard_transform
+    .. [2] https://en.wikipedia.org/wiki/Fast_Walsh%E2%80%93Hadamard_transform
+
+    """
+
+    return _walsh_hadamard_transform(seq)
+
+
+def ifwht(seq):
+    return _walsh_hadamard_transform(seq, inverse=True)
+
+ifwht.__doc__ = fwht.__doc__
+
+
+#----------------------------------------------------------------------------#
+#                                                                            #
+#                    Mobius Transform for Subset Lattice                     #
+#                                                                            #
+#----------------------------------------------------------------------------#
+
+def _mobius_transform(seq, sgn, subset):
+    r"""Utility function for performing Mobius Transform using
+    Yate's Dynamic Programming method"""
+
+    if not iterable(seq):
+        raise TypeError("Expected a sequence of coefficients")
+
+    a = [sympify(arg) for arg in seq]
+
+    n = len(a)
+    if n < 2:
+        return a
+
+    if n&(n - 1):
+        n = 2**n.bit_length()
+
+    a += [S.Zero]*(n - len(a))
+
+    if subset:
+        i = 1
+        while i < n:
+            for j in range(n):
+                if j & i:
+                    a[j] += sgn*a[j ^ i]
+            i *= 2
+
+    else:
+        i = 1
+        while i < n:
+            for j in range(n):
+                if j & i:
+                    continue
+                a[j] += sgn*a[j ^ i]
+            i *= 2
+
+    return a
+
+
+def mobius_transform(seq, subset=True):
+    r"""
+    Performs the Mobius Transform for subset lattice with indices of
+    sequence as bitmasks.
+
+    The indices of each argument, considered as bit strings, correspond
+    to subsets of a finite set.
+
+    The sequence is automatically padded to the right with zeros, as the
+    definition of subset/superset based on bitmasks (indices) requires
+    the size of sequence to be a power of 2.
+
+    Parameters
+    ==========
+
+    seq : iterable
+        The sequence on which Mobius Transform is to be applied.
+    subset : bool
+        Specifies if Mobius Transform is applied by enumerating subsets
+        or supersets of the given set.
+
+    Examples
+    ========
+
+    >>> from sympy import symbols
+    >>> from sympy import mobius_transform, inverse_mobius_transform
+    >>> x, y, z = symbols('x y z')
+
+    >>> mobius_transform([x, y, z])
+    [x, x + y, x + z, x + y + z]
+    >>> inverse_mobius_transform(_)
+    [x, y, z, 0]
+
+    >>> mobius_transform([x, y, z], subset=False)
+    [x + y + z, y, z, 0]
+    >>> inverse_mobius_transform(_, subset=False)
+    [x, y, z, 0]
+
+    >>> mobius_transform([1, 2, 3, 4])
+    [1, 3, 4, 10]
+    >>> inverse_mobius_transform(_)
+    [1, 2, 3, 4]
+    >>> mobius_transform([1, 2, 3, 4], subset=False)
+    [10, 6, 7, 4]
+    >>> inverse_mobius_transform(_, subset=False)
+    [1, 2, 3, 4]
+
+    References
+    ==========
+
+    .. [1] https://en.wikipedia.org/wiki/M%C3%B6bius_inversion_formula
+    .. [2] https://people.csail.mit.edu/rrw/presentations/subset-conv.pdf
+    .. [3] https://arxiv.org/pdf/1211.0189.pdf
+
+    """
+
+    return _mobius_transform(seq, sgn=+1, subset=subset)
+
+def inverse_mobius_transform(seq, subset=True):
+    return _mobius_transform(seq, sgn=-1, subset=subset)
+
+inverse_mobius_transform.__doc__ = mobius_transform.__doc__

janus/lib/python3.10/site-packages/sympy/galgebra.py

@@ -0,0 +1 @@
+raise ImportError("""As of SymPy 1.0 the galgebra module is maintained separately at https://github.com/pygae/galgebra""")

janus/lib/python3.10/site-packages/sympy/multipledispatch/dispatcher.py

@@ -0,0 +1,413 @@
+from __future__ import annotations
+
+from warnings import warn
+import inspect
+from .conflict import ordering, ambiguities, super_signature, AmbiguityWarning
+from .utils import expand_tuples
+import itertools as itl
+
+
+class MDNotImplementedError(NotImplementedError):
+    """ A NotImplementedError for multiple dispatch """
+
+
+### Functions for on_ambiguity
+
+def ambiguity_warn(dispatcher, ambiguities):
+    """ Raise warning when ambiguity is detected
+
+    Parameters
+    ----------
+    dispatcher : Dispatcher
+        The dispatcher on which the ambiguity was detected
+    ambiguities : set
+        Set of type signature pairs that are ambiguous within this dispatcher
+
+    See Also:
+        Dispatcher.add
+        warning_text
+    """
+    warn(warning_text(dispatcher.name, ambiguities), AmbiguityWarning)
+
+
+class RaiseNotImplementedError:
+    """Raise ``NotImplementedError`` when called."""
+
+    def __init__(self, dispatcher):
+        self.dispatcher = dispatcher
+
+    def __call__(self, *args, **kwargs):
+        types = tuple(type(a) for a in args)
+        raise NotImplementedError(
+            "Ambiguous signature for %s: <%s>" % (
+            self.dispatcher.name, str_signature(types)
+        ))
+
+def ambiguity_register_error_ignore_dup(dispatcher, ambiguities):
+    """
+    If super signature for ambiguous types is duplicate types, ignore it.
+    Else, register instance of ``RaiseNotImplementedError`` for ambiguous types.
+
+    Parameters
+    ----------
+    dispatcher : Dispatcher
+        The dispatcher on which the ambiguity was detected
+    ambiguities : set
+        Set of type signature pairs that are ambiguous within this dispatcher
+
+    See Also:
+        Dispatcher.add
+        ambiguity_warn
+    """
+    for amb in ambiguities:
+        signature = tuple(super_signature(amb))
+        if len(set(signature)) == 1:
+            continue
+        dispatcher.add(
+            signature, RaiseNotImplementedError(dispatcher),
+            on_ambiguity=ambiguity_register_error_ignore_dup
+        )
+
+###
+
+
+_unresolved_dispatchers: set[Dispatcher] = set()
+_resolve = [True]
+
+
+def halt_ordering():
+    _resolve[0] = False
+
+
+def restart_ordering(on_ambiguity=ambiguity_warn):
+    _resolve[0] = True
+    while _unresolved_dispatchers:
+        dispatcher = _unresolved_dispatchers.pop()
+        dispatcher.reorder(on_ambiguity=on_ambiguity)
+
+
+class Dispatcher:
+    """ Dispatch methods based on type signature
+
+    Use ``dispatch`` to add implementations
+
+    Examples
+    --------
+
+    >>> from sympy.multipledispatch import dispatch
+    >>> @dispatch(int)
+    ... def f(x):
+    ...     return x + 1
+
+    >>> @dispatch(float)
+    ... def f(x): # noqa: F811
+    ...     return x - 1
+
+    >>> f(3)
+    4
+    >>> f(3.0)
+    2.0
+    """
+    __slots__ = '__name__', 'name', 'funcs', 'ordering', '_cache', 'doc'
+
+    def __init__(self, name, doc=None):
+        self.name = self.__name__ = name
+        self.funcs = {}
+        self._cache = {}
+        self.ordering = []
+        self.doc = doc
+
+    def register(self, *types, **kwargs):
+        """ Register dispatcher with new implementation
+
+        >>> from sympy.multipledispatch.dispatcher import Dispatcher
+        >>> f = Dispatcher('f')
+        >>> @f.register(int)
+        ... def inc(x):
+        ...     return x + 1
+
+        >>> @f.register(float)
+        ... def dec(x):
+        ...     return x - 1
+
+        >>> @f.register(list)
+        ... @f.register(tuple)
+        ... def reverse(x):
+        ...     return x[::-1]
+
+        >>> f(1)
+        2
+
+        >>> f(1.0)
+        0.0
+
+        >>> f([1, 2, 3])
+        [3, 2, 1]
+        """
+        def _(func):
+            self.add(types, func, **kwargs)
+            return func
+        return _
+
+    @classmethod
+    def get_func_params(cls, func):
+        if hasattr(inspect, "signature"):
+            sig = inspect.signature(func)
+            return sig.parameters.values()
+
+    @classmethod
+    def get_func_annotations(cls, func):
+        """ Get annotations of function positional parameters
+        """
+        params = cls.get_func_params(func)
+        if params:
+            Parameter = inspect.Parameter
+
+            params = (param for param in params
+                      if param.kind in
+                      (Parameter.POSITIONAL_ONLY,
+                       Parameter.POSITIONAL_OR_KEYWORD))
+
+            annotations = tuple(
+                param.annotation
+                for param in params)
+
+            if not any(ann is Parameter.empty for ann in annotations):
+                return annotations
+
+    def add(self, signature, func, on_ambiguity=ambiguity_warn):
+        """ Add new types/method pair to dispatcher
+
+        >>> from sympy.multipledispatch import Dispatcher
+        >>> D = Dispatcher('add')
+        >>> D.add((int, int), lambda x, y: x + y)
+        >>> D.add((float, float), lambda x, y: x + y)
+
+        >>> D(1, 2)
+        3
+        >>> D(1, 2.0)
+        Traceback (most recent call last):
+        ...
+        NotImplementedError: Could not find signature for add: <int, float>
+
+        When ``add`` detects a warning it calls the ``on_ambiguity`` callback
+        with a dispatcher/itself, and a set of ambiguous type signature pairs
+        as inputs.  See ``ambiguity_warn`` for an example.
+        """
+        # Handle annotations
+        if not signature:
+            annotations = self.get_func_annotations(func)
+            if annotations:
+                signature = annotations
+
+        # Handle union types
+        if any(isinstance(typ, tuple) for typ in signature):
+            for typs in expand_tuples(signature):
+                self.add(typs, func, on_ambiguity)
+            return
+
+        for typ in signature:
+            if not isinstance(typ, type):
+                str_sig = ', '.join(c.__name__ if isinstance(c, type)
+                                    else str(c) for c in signature)
+                raise TypeError("Tried to dispatch on non-type: %s\n"
+                                "In signature: <%s>\n"
+                                "In function: %s" %
+                                (typ, str_sig, self.name))
+
+        self.funcs[signature] = func
+        self.reorder(on_ambiguity=on_ambiguity)
+        self._cache.clear()
+
+    def reorder(self, on_ambiguity=ambiguity_warn):
+        if _resolve[0]:
+            self.ordering = ordering(self.funcs)
+            amb = ambiguities(self.funcs)
+            if amb:
+                on_ambiguity(self, amb)
+        else:
+            _unresolved_dispatchers.add(self)
+
+    def __call__(self, *args, **kwargs):
+        types = tuple([type(arg) for arg in args])
+        try:
+            func = self._cache[types]
+        except KeyError:
+            func = self.dispatch(*types)
+            if not func:
+                raise NotImplementedError(
+                    'Could not find signature for %s: <%s>' %
+                    (self.name, str_signature(types)))
+            self._cache[types] = func
+        try:
+            return func(*args, **kwargs)
+
+        except MDNotImplementedError:
+            funcs = self.dispatch_iter(*types)
+            next(funcs)  # burn first
+            for func in funcs:
+                try:
+                    return func(*args, **kwargs)
+                except MDNotImplementedError:
+                    pass
+            raise NotImplementedError("Matching functions for "
+                                      "%s: <%s> found, but none completed successfully"
+                                      % (self.name, str_signature(types)))
+
+    def __str__(self):
+        return "<dispatched %s>" % self.name
+    __repr__ = __str__
+
+    def dispatch(self, *types):
+        """ Deterimine appropriate implementation for this type signature
+
+        This method is internal.  Users should call this object as a function.
+        Implementation resolution occurs within the ``__call__`` method.
+
+        >>> from sympy.multipledispatch import dispatch
+        >>> @dispatch(int)
+        ... def inc(x):
+        ...     return x + 1
+
+        >>> implementation = inc.dispatch(int)
+        >>> implementation(3)
+        4
+
+        >>> print(inc.dispatch(float))
+        None
+
+        See Also:
+            ``sympy.multipledispatch.conflict`` - module to determine resolution order
+        """
+
+        if types in self.funcs:
+            return self.funcs[types]
+
+        try:
+            return next(self.dispatch_iter(*types))
+        except StopIteration:
+            return None
+
+    def dispatch_iter(self, *types):
+        n = len(types)
+        for signature in self.ordering:
+            if len(signature) == n and all(map(issubclass, types, signature)):
+                result = self.funcs[signature]
+                yield result
+
+    def resolve(self, types):
+        """ Deterimine appropriate implementation for this type signature
+
+        .. deprecated:: 0.4.4
+            Use ``dispatch(*types)`` instead
+        """
+        warn("resolve() is deprecated, use dispatch(*types)",
+             DeprecationWarning)
+
+        return self.dispatch(*types)
+
+    def __getstate__(self):
+        return {'name': self.name,
+                'funcs': self.funcs}
+
+    def __setstate__(self, d):
+        self.name = d['name']
+        self.funcs = d['funcs']
+        self.ordering = ordering(self.funcs)
+        self._cache = {}
+
+    @property
+    def __doc__(self):
+        docs = ["Multiply dispatched method: %s" % self.name]
+
+        if self.doc:
+            docs.append(self.doc)
+
+        other = []
+        for sig in self.ordering[::-1]:
+            func = self.funcs[sig]
+            if func.__doc__:
+                s = 'Inputs: <%s>\n' % str_signature(sig)
+                s += '-' * len(s) + '\n'
+                s += func.__doc__.strip()
+                docs.append(s)
+            else:
+                other.append(str_signature(sig))
+
+        if other:
+            docs.append('Other signatures:\n    ' + '\n    '.join(other))
+
+        return '\n\n'.join(docs)
+
+    def _help(self, *args):
+        return self.dispatch(*map(type, args)).__doc__
+
+    def help(self, *args, **kwargs):
+        """ Print docstring for the function corresponding to inputs """
+        print(self._help(*args))
+
+    def _source(self, *args):
+        func = self.dispatch(*map(type, args))
+        if not func:
+            raise TypeError("No function found")
+        return source(func)
+
+    def source(self, *args, **kwargs):
+        """ Print source code for the function corresponding to inputs """
+        print(self._source(*args))
+
+
+def source(func):
+    s = 'File: %s\n\n' % inspect.getsourcefile(func)
+    s = s + inspect.getsource(func)
+    return s
+
+
+class MethodDispatcher(Dispatcher):
+    """ Dispatch methods based on type signature
+
+    See Also:
+        Dispatcher
+    """
+
+    @classmethod
+    def get_func_params(cls, func):
+        if hasattr(inspect, "signature"):
+            sig = inspect.signature(func)
+            return itl.islice(sig.parameters.values(), 1, None)
+
+    def __get__(self, instance, owner):
+        self.obj = instance
+        self.cls = owner
+        return self
+
+    def __call__(self, *args, **kwargs):
+        types = tuple([type(arg) for arg in args])
+        func = self.dispatch(*types)
+        if not func:
+            raise NotImplementedError('Could not find signature for %s: <%s>' %
+                                      (self.name, str_signature(types)))
+        return func(self.obj, *args, **kwargs)
+
+
+def str_signature(sig):
+    """ String representation of type signature
+
+    >>> from sympy.multipledispatch.dispatcher import str_signature
+    >>> str_signature((int, float))
+    'int, float'
+    """
+    return ', '.join(cls.__name__ for cls in sig)
+
+
+def warning_text(name, amb):
+    """ The text for ambiguity warnings """
+    text = "\nAmbiguities exist in dispatched function %s\n\n" % (name)
+    text += "The following signatures may result in ambiguous behavior:\n"
+    for pair in amb:
+        text += "\t" + \
+            ', '.join('[' + str_signature(s) + ']' for s in pair) + "\n"
+    text += "\n\nConsider making the following additions:\n\n"
+    text += '\n\n'.join(['@dispatch(' + str_signature(super_signature(s))
+                         + ')\ndef %s(...)' % name for s in amb])
+    return text