.. hazmat::

Two-factor authentication
=========================

.. currentmodule:: cryptography.hazmat.primitives.twofactor

This module contains algorithms related to two-factor authentication.

Currently, it contains an algorithm for generating and verifying
one time password values based on Hash-based message authentication
codes (HMAC).

.. class:: InvalidToken

    This is raised when the verify method of a one time password function's
    computed token does not match the expected token.

.. currentmodule:: cryptography.hazmat.primitives.twofactor.hotp

.. class:: HOTP(key, length, algorithm, backend)

    .. versionadded:: 0.3

    HOTP objects take a ``key``, ``length`` and ``algorithm`` parameter. The
    ``key`` should be :doc:`randomly generated bytes </random-numbers>` and is
    recommended to be 160 bits in length. The ``length`` parameter controls the
    length of the generated one time password and must be >= 6 and <= 8.

    This is an implementation of :rfc:`4226`.

    .. doctest::

        >>> import os
        >>> from cryptography.hazmat.backends import default_backend
        >>> from cryptography.hazmat.primitives.twofactor.hotp import HOTP
        >>> from cryptography.hazmat.primitives.hashes import SHA1
        >>> key = os.urandom(16)
        >>> hotp = HOTP(key, 6, SHA1(), backend=default_backend())
        >>> hotp_value = hotp.generate(0)
        >>> hotp.verify(hotp_value, 0)

    :param bytes key: Per-user secret key. This value must be kept secret
                      and be at least 128 bits. It is recommended that the
                      key be 160 bits.
    :param int length: Length of generated one time password as ``int``.
    :param cryptography.hazmat.primitives.hashes.HashAlgorithm algorithm: A
        :class:`~cryptography.hazmat.primitives.hashes`
        provider.
    :param backend: A
        :class:`~cryptography.hazmat.backends.interfaces.HMACBackend`
        provider.
    :raises ValueError: This is raised if the provided ``key`` is shorter than
        128 bits or if the ``length`` parameter is not 6, 7 or 8.
    :raises TypeError: This is raised if the provided ``algorithm`` is not
        :class:`~cryptography.hazmat.primitives.hashes.SHA1()`,
        :class:`~cryptography.hazmat.primitives.hashes.SHA256()` or
        :class:`~cryptography.hazmat.primitives.hashes.SHA512()` or if the
        ``length`` parameter is not an integer.
    :raises cryptography.exceptions.UnsupportedAlgorithm: This is raised if the
        provided ``backend`` does not implement
        :class:`~cryptography.hazmat.backends.interfaces.HMACBackend`

    .. method:: generate(counter)

        :param int counter: The counter value used to generate the one time
            password.
        :return bytes: A one time password value.

    .. method:: verify(hotp, counter)

        :param bytes hotp: The one time password value to validate.
        :param int counter: The counter value to validate against.
        :raises cryptography.hazmat.primitives.twofactor.InvalidToken: This
             is raised when the supplied HOTP does not match the expected HOTP.

    .. method:: get_provisioning_uri(account_name, counter, issuer)

        .. versionadded:: 1.0

        :param account_name: The display name of account, such as
            ``'Alice Smith'`` or ``'alice@example.com'``.
        :type account_name: :term:`text`
        :param issuer: The optional display name of issuer. This is typically
            the provider or service the user wants to access using the OTP
            token.
        :type issuer: :term:`text` or `None`
        :param int counter: The current value of counter.
        :return: A URI string.

Throttling
~~~~~~~~~~

Due to the fact that the HOTP algorithm generates rather short tokens that are
6 - 8 digits long, brute force attacks are possible. It is highly recommended
that the server that validates the token implement a throttling scheme that
locks out the account for a period of time after a number of failed attempts.
The number of allowed attempts should be as low as possible while still
ensuring that usability is not significantly impacted.

Re-synchronization of the counter
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The server's counter value should only be incremented on a successful HOTP
authentication. However, the counter on the client is incremented every time a
new HOTP value is requested. This can lead to the counter value being out of
synchronization between the client and server.

Due to this, it is highly recommended that the server sets a look-ahead window
that allows the server to calculate the next ``x`` HOTP values and check them
against the supplied HOTP value. This can be accomplished with something
similar to the following code.

.. code-block:: python

    def verify(hotp, counter, look_ahead):
        assert look_ahead >= 0
        correct_counter = None

        otp = HOTP(key, 6, default_backend())
        for count in range(counter, counter + look_ahead):
            try:
                otp.verify(hotp, count)
                correct_counter = count
            except InvalidToken:
                pass

        return correct_counter

.. currentmodule:: cryptography.hazmat.primitives.twofactor.totp

.. class:: TOTP(key, length, algorithm, time_step, backend)

    TOTP objects take a ``key``, ``length``, ``algorithm`` and ``time_step``
    parameter. The ``key`` should be :doc:`randomly generated bytes
    </random-numbers>` and is recommended to be as long as your hash function's
    output (e.g 256-bit for SHA256). The ``length`` parameter controls the
    length of the generated one time password and must be >= 6 and <= 8.

    This is an implementation of :rfc:`6238`.

    .. doctest::

        >>> import os
        >>> import time
        >>> from cryptography.hazmat.backends import default_backend
        >>> from cryptography.hazmat.primitives.twofactor.totp import TOTP
        >>> from cryptography.hazmat.primitives.hashes import SHA1
        >>> key = os.urandom(16)
        >>> totp = TOTP(key, 8, SHA1(), 30, backend=default_backend())
        >>> time_value = time.time()
        >>> totp_value = totp.generate(time_value)
        >>> totp.verify(totp_value, time_value)

    :param bytes key: Per-user secret key. This value must be kept secret
                      and be at least 128 bits. It is recommended that the
                      key be 160 bits.
    :param int length: Length of generated one time password as ``int``.
    :param cryptography.hazmat.primitives.hashes.HashAlgorithm algorithm: A
        :class:`~cryptography.hazmat.primitives.hashes`
        provider.
    :param int time_step: The time step size. The recommended size is 30.
    :param backend: A
        :class:`~cryptography.hazmat.backends.interfaces.HMACBackend`
        provider.
    :raises ValueError: This is raised if the provided ``key`` is shorter than
        128 bits or if the ``length`` parameter is not 6, 7 or 8.
    :raises TypeError: This is raised if the provided ``algorithm`` is not
        :class:`~cryptography.hazmat.primitives.hashes.SHA1()`,
        :class:`~cryptography.hazmat.primitives.hashes.SHA256()` or
        :class:`~cryptography.hazmat.primitives.hashes.SHA512()` or if the
        ``length`` parameter is not an integer.
    :raises cryptography.exceptions.UnsupportedAlgorithm: This is raised if the
        provided ``backend`` does not implement
        :class:`~cryptography.hazmat.backends.interfaces.HMACBackend`

    .. method:: generate(time)

        :param int time: The time value used to generate the one time password.
        :return bytes: A one time password value.

    .. method:: verify(totp, time)

        :param bytes totp: The one time password value to validate.
        :param int time: The time value to validate against.
        :raises cryptography.hazmat.primitives.twofactor.InvalidToken: This
             is raised when the supplied TOTP does not match the expected TOTP.

    .. method:: get_provisioning_uri(account_name, issuer)

        .. versionadded:: 1.0

        :param account_name: The display name of account, such as
            ``'Alice Smith'`` or ``'alice@example.com'``.
        :type: :term:`text`
        :param issuer: The optional display name of issuer. This is typically
            the provider or service the user wants to access using the OTP
            token.
        :type issuer: :term:`text` or `None`
        :return: A URI string.

Provisioning URI
~~~~~~~~~~~~~~~~

The provisioning URI of HOTP and TOTP is not actual the part of RFC 4226 and
RFC 6238, but a `spec of Google Authenticator`_. It is widely supported by web
sites and mobile applications which are using Two-Factor authentication.

For generating a provisioning URI, you could use the ``get_provisioning_uri``
method of HOTP/TOTP instances.

.. code-block:: python

    counter = 5
    account_name = 'alice@example.com'
    issuer_name = 'Example Inc'

    hotp_uri = hotp.get_provisioning_uri(account_name, counter, issuer_name)
    totp_uri = totp.get_provisioning_uri(account_name, issuer_name)

A common usage is encoding the provisioning URI into QR code and guiding users
to scan it with Two-Factor authentication applications in their mobile devices.

.. _`spec of Google Authenticator`: https://github.com/google/google-authenticator/wiki/Key-Uri-Format
