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This module implements certain functionality from PKCS#1 version 1.5. For a
very clear example, read http://www.di-mgt.com.au/rsa_alg.html#pkcs1schemes

At least 8 bytes of random padding is used when encrypting a message. This makes
these methods much more secure than the ones in the ``rsa`` module.

WARNING: this module leaks information when decryption fails. The exceptions
that are raised contain the Python traceback information, which can be used to
deduce where in the process the failure occurred. DO NOT PASS SUCH INFORMATION
to your users.
�N)�compare_digest�)�common�	transform�core�keys0 0*�H��
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target_length�returncCs�|d}t|�}||krtd||f��d}||d}t|�|krC|t|�}t�|d�}|�dd�}||d|�}t|�|ks"t|�|ksKJ�d�d|d|g�S)	aPads the message for encryption, returning the padded message.

    :return: 00 02 RANDOM_DATA 00 MESSAGE

    >>> block = _pad_for_encryption(b'hello', 16)
    >>> len(block)
    16
    >>> block[0:2]
    b'\x00\x02'
    >>> block[-6:]
    b'\x00hello'

    ��;%i bytes needed for message, but there is only space for %i�r
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r-cCsJ|d}t|�}||krtd||f��||d}d�d|dd|g�S)ajPads the message for signing, returning the padded message.

    The padding is always a repetition of FF bytes.

    :return: 00 01 PADDING 00 MESSAGE

    >>> block = _pad_for_signing(b'hello', 16)
    >>> len(block)
    16
    >>> block[0:2]
    b'\x00\x01'
    >>> block[-6:]
    b'\x00hello'
    >>> block[2:-6]
    b'\xff\xff\xff\xff\xff\xff\xff\xff'

    rrr
rs��r)r!r"r&)rrr'r(r*rrr�_pad_for_signing�s��r/�pub_keycCsBt�|j�}t||�}t�|�}t�||j|j�}t�	||�}|S)a�Encrypts the given message using PKCS#1 v1.5

    :param message: the message to encrypt. Must be a byte string no longer than
        ``k-11`` bytes, where ``k`` is the number of bytes needed to encode
        the ``n`` component of the public key.
    :param pub_key: the :py:class:`rsa.PublicKey` to encrypt with.
    :raise OverflowError: when the message is too large to fit in the padded
        block.

    >>> from rsa import key, common
    >>> (pub_key, priv_key) = key.newkeys(256)
    >>> message = b'hello'
    >>> crypto = encrypt(message, pub_key)

    The crypto text should be just as long as the public key 'n' component:

    >>> len(crypto) == common.byte_size(pub_key.n)
    True

    )
r�	byte_size�nr-r�	bytes2intr�encrypt_int�e�	int2bytes)rr0�	keylength�padded�payload�	encrypted�blockrrr�encrypt�s

r<�crypto�priv_keyc
Cs�t�|j�}t�|�}|�|�}t�||�}t|�|kr td��t	|dd�d�}|�
dd�}|dk}||B}	|	r>td��||dd�S)aaDecrypts the given message using PKCS#1 v1.5

    The decryption is considered 'failed' when the resulting cleartext doesn't
    start with the bytes 00 02, or when the 00 byte between the padding and
    the message cannot be found.

    :param crypto: the crypto text as returned by :py:func:`rsa.encrypt`
    :param priv_key: the :py:class:`rsa.PrivateKey` to decrypt with.
    :raise DecryptionError: when the decryption fails. No details are given as
        to why the code thinks the decryption fails, as this would leak
        information about the private key.


    >>> import rsa
    >>> (pub_key, priv_key) = rsa.newkeys(256)

    It works with strings:

    >>> crypto = encrypt(b'hello', pub_key)
    >>> decrypt(crypto, priv_key)
    b'hello'

    And with binary data:

    >>> crypto = encrypt(b'\x00\x00\x00\x00\x01', pub_key)
    >>> decrypt(crypto, priv_key)
    b'\x00\x00\x00\x00\x01'

    Altering the encrypted information will *likely* cause a
    :py:class:`rsa.pkcs1.DecryptionError`. If you want to be *sure*, use
    :py:func:`rsa.sign`.


    .. warning::

        Never display the stack trace of a
        :py:class:`rsa.pkcs1.DecryptionError` exception. It shows where in the
        code the exception occurred, and thus leaks information about the key.
        It's only a tiny bit of information, but every bit makes cracking the
        keys easier.

    >>> crypto = encrypt(b'hello', pub_key)
    >>> crypto = crypto[0:5] + b'X' + crypto[6:] # change a byte
    >>> decrypt(crypto, priv_key)
    Traceback (most recent call last):
    ...
    rsa.pkcs1.DecryptionError: Decryption failed

    zDecryption failedN�r r�
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    :param hash_value: A precomputed hash to sign (ignores message).
    :param priv_key: the :py:class:`rsa.PrivateKey` to sign with
    :param hash_method: the hash method used on the message. Use 'MD5', 'SHA-1',
        'SHA-224', SHA-256', 'SHA-384' or 'SHA-512'.
    :return: a message signature block.
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rRcCst||�}t|||�S)a�Signs the message with the private key.

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        object. If ``message`` has a ``read()`` method, it is assumed to be a
        file-like object.
    :param priv_key: the :py:class:`rsa.PrivateKey` to sign with
    :param hash_method: the hash method used on the message. Use 'MD5', 'SHA-1',
        'SHA-224', SHA-256', 'SHA-384' or 'SHA-512'.
    :return: a message signature block.
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    The hash method is detected automatically from the signature.

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        file-like object.
    :param signature: the signature block, as created with :py:func:`rsa.sign`.
    :param pub_key: the :py:class:`rsa.PublicKey` of the person signing the message.
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    :returns: the name of the used hash.

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r^cCs<t�|j�}t�|�}t�||j|j�}t�||�}t	|�S)a�Returns the hash name detected from the signature.

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    :param pub_key: the :py:class:`rsa.PublicKey` of the person signing the message.
    :returns: the name of the used hash.
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