Updated DB_Helper by adding firebase methods.

venv/Lib/site-packages/rsa/__init__.py

@@ -0,0 +1,40 @@
+#  Copyright 2011 Sybren A. Stüvel <sybren@stuvel.eu>
+#
+#  Licensed under the Apache License, Version 2.0 (the "License");
+#  you may not use this file except in compliance with the License.
+#  You may obtain a copy of the License at
+#
+#      https://www.apache.org/licenses/LICENSE-2.0
+#
+#  Unless required by applicable law or agreed to in writing, software
+#  distributed under the License is distributed on an "AS IS" BASIS,
+#  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+#  See the License for the specific language governing permissions and
+#  limitations under the License.
+"""RSA module
+
+Module for calculating large primes, and RSA encryption, decryption, signing
+and verification. Includes generating public and private keys.
+
+WARNING: this implementation does not use compression of the cleartext input to
+prevent repetitions, or other common security improvements. Use with care.
+
+"""
+
+from rsa.key import newkeys, PrivateKey, PublicKey
+from rsa.pkcs1 import encrypt, decrypt, sign, verify, DecryptionError, \
+    VerificationError, find_signature_hash,  sign_hash, compute_hash
+
+__author__ = "Sybren Stuvel, Barry Mead and Yesudeep Mangalapilly"
+__date__ = '2020-06-12'
+__version__ = '4.6'
+
+# Do doctest if we're run directly
+if __name__ == "__main__":
+    import doctest
+
+    doctest.testmod()
+
+__all__ = ["newkeys", "encrypt", "decrypt", "sign", "verify", 'PublicKey',
+           'PrivateKey', 'DecryptionError', 'VerificationError',
+           'find_signature_hash', 'compute_hash', 'sign_hash']

venv/Lib/site-packages/rsa/_compat.py

@@ -0,0 +1,48 @@
+#  Copyright 2011 Sybren A. Stüvel <sybren@stuvel.eu>
+#
+#  Licensed under the Apache License, Version 2.0 (the "License");
+#  you may not use this file except in compliance with the License.
+#  You may obtain a copy of the License at
+#
+#      https://www.apache.org/licenses/LICENSE-2.0
+#
+#  Unless required by applicable law or agreed to in writing, software
+#  distributed under the License is distributed on an "AS IS" BASIS,
+#  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+#  See the License for the specific language governing permissions and
+#  limitations under the License.
+
+"""Python compatibility wrappers."""
+
+from struct import pack
+
+
+def byte(num: int) -> bytes:
+    """
+    Converts a number between 0 and 255 (both inclusive) to a base-256 (byte)
+    representation.
+
+    :param num:
+        An unsigned integer between 0 and 255 (both inclusive).
+    :returns:
+        A single byte.
+    """
+    return pack("B", num)
+
+
+def xor_bytes(b1: bytes, b2: bytes) -> bytes:
+    """
+    Returns the bitwise XOR result between two bytes objects, b1 ^ b2.
+
+    Bitwise XOR operation is commutative, so order of parameters doesn't
+    generate different results. If parameters have different length, extra
+    length of the largest one is ignored.
+
+    :param b1:
+        First bytes object.
+    :param b2:
+        Second bytes object.
+    :returns:
+        Bytes object, result of XOR operation.
+    """
+    return bytes(x ^ y for x, y in zip(b1, b2))

venv/Lib/site-packages/rsa/_version133.py

@@ -0,0 +1,441 @@
+# -*- coding: utf-8 -*-
+#
+#  Copyright 2011 Sybren A. Stüvel <sybren@stuvel.eu>
+#
+#  Licensed under the Apache License, Version 2.0 (the "License");
+#  you may not use this file except in compliance with the License.
+#  You may obtain a copy of the License at
+#
+#      https://www.apache.org/licenses/LICENSE-2.0
+#
+#  Unless required by applicable law or agreed to in writing, software
+#  distributed under the License is distributed on an "AS IS" BASIS,
+#  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+#  See the License for the specific language governing permissions and
+#  limitations under the License.
+
+"""Deprecated version of the RSA module
+
+.. deprecated:: 2.0
+
+    This submodule is deprecated and will be completely removed as of version 4.0.
+
+Module for calculating large primes, and RSA encryption, decryption,
+signing and verification. Includes generating public and private keys.
+
+WARNING: this code implements the mathematics of RSA. It is not suitable for
+real-world secure cryptography purposes. It has not been reviewed by a security
+expert. It does not include padding of data. There are many ways in which the
+output of this module, when used without any modification, can be sucessfully
+attacked.
+"""
+
+__author__ = "Sybren Stuvel, Marloes de Boer and Ivo Tamboer"
+__date__ = "2010-02-05"
+__version__ = '1.3.3'
+
+# NOTE: Python's modulo can return negative numbers. We compensate for
+# this behaviour using the abs() function
+
+try:
+    import cPickle as pickle
+except ImportError:
+    import pickle
+from pickle import dumps, loads
+import base64
+import math
+import os
+import random
+import sys
+import types
+import zlib
+
+from rsa._compat import byte
+
+# Display a warning that this insecure version is imported.
+import warnings
+warnings.warn('Insecure version of the RSA module is imported as %s, be careful'
+        % __name__)
+warnings.warn('This submodule is deprecated and will be completely removed as of version 4.0.',
+              DeprecationWarning)
+
+
+def gcd(p, q):
+    """Returns the greatest common divisor of p and q
+
+
+    >>> gcd(42, 6)
+    6
+    """
+    if p<q: return gcd(q, p)
+    if q == 0: return p
+    return gcd(q, abs(p%q))
+
+def bytes2int(bytes):
+    """Converts a list of bytes or a string to an integer
+    """
+
+    if not (type(bytes) is types.ListType or type(bytes) is types.StringType):
+        raise TypeError("You must pass a string or a list")
+
+    # Convert byte stream to integer
+    integer = 0
+    for byte in bytes:
+        integer *= 256
+        if type(byte) is types.StringType: byte = ord(byte)
+        integer += byte
+
+    return integer
+
+def int2bytes(number):
+    """Converts a number to a string of bytes
+    """
+
+    if not (type(number) is types.LongType or type(number) is types.IntType):
+        raise TypeError("You must pass a long or an int")
+
+    string = ""
+
+    while number > 0:
+        string = "%s%s" % (byte(number & 0xFF), string)
+        number /= 256
+    
+    return string
+
+def fast_exponentiation(a, p, n):
+    """Calculates r = a^p mod n
+    """
+    result = a % n
+    remainders = []
+    while p != 1:
+        remainders.append(p & 1)
+        p = p >> 1
+    while remainders:
+        rem = remainders.pop()
+        result = ((a ** rem) * result ** 2) % n
+    return result
+
+def read_random_int(nbits):
+    """Reads a random integer of approximately nbits bits rounded up
+    to whole bytes"""
+
+    nbytes = ceil(nbits/8.)
+    randomdata = os.urandom(nbytes)
+    return bytes2int(randomdata)
+
+def ceil(x):
+    """ceil(x) -> int(math.ceil(x))"""
+
+    return int(math.ceil(x))
+    
+def randint(minvalue, maxvalue):
+    """Returns a random integer x with minvalue <= x <= maxvalue"""
+
+    # Safety - get a lot of random data even if the range is fairly
+    # small
+    min_nbits = 32
+
+    # The range of the random numbers we need to generate
+    range = maxvalue - minvalue
+
+    # Which is this number of bytes
+    rangebytes = ceil(math.log(range, 2) / 8.)
+
+    # Convert to bits, but make sure it's always at least min_nbits*2
+    rangebits = max(rangebytes * 8, min_nbits * 2)
+    
+    # Take a random number of bits between min_nbits and rangebits
+    nbits = random.randint(min_nbits, rangebits)
+    
+    return (read_random_int(nbits) % range) + minvalue
+
+def fermat_little_theorem(p):
+    """Returns 1 if p may be prime, and something else if p definitely
+    is not prime"""
+
+    a = randint(1, p-1)
+    return fast_exponentiation(a, p-1, p)
+
+def jacobi(a, b):
+    """Calculates the value of the Jacobi symbol (a/b)
+    """
+
+    if a % b == 0:
+        return 0
+    result = 1
+    while a > 1:
+        if a & 1:
+            if ((a-1)*(b-1) >> 2) & 1:
+                result = -result
+            b, a = a, b % a
+        else:
+            if ((b ** 2 - 1) >> 3) & 1:
+                result = -result
+            a = a >> 1
+    return result
+
+def jacobi_witness(x, n):
+    """Returns False if n is an Euler pseudo-prime with base x, and
+    True otherwise.
+    """
+
+    j = jacobi(x, n) % n
+    f = fast_exponentiation(x, (n-1)/2, n)
+
+    if j == f: return False
+    return True
+
+def randomized_primality_testing(n, k):
+    """Calculates whether n is composite (which is always correct) or
+    prime (which is incorrect with error probability 2**-k)
+
+    Returns False if the number if composite, and True if it's
+    probably prime.
+    """
+
+    q = 0.5     # Property of the jacobi_witness function
+
+    # t = int(math.ceil(k / math.log(1/q, 2)))
+    t = ceil(k / math.log(1/q, 2))
+    for i in range(t+1):
+        x = randint(1, n-1)
+        if jacobi_witness(x, n): return False
+    
+    return True
+
+def is_prime(number):
+    """Returns True if the number is prime, and False otherwise.
+    """
+
+    """
+    if not fermat_little_theorem(number) == 1:
+        # Not prime, according to Fermat's little theorem
+        return False
+    """
+
+    if randomized_primality_testing(number, 5):
+        # Prime, according to Jacobi
+        return True
+    
+    # Not prime
+    return False
+
+    
+def getprime(nbits):
+    """Returns a prime number of max. 'math.ceil(nbits/8)*8' bits. In
+    other words: nbits is rounded up to whole bytes.
+    """
+
+    nbytes = int(math.ceil(nbits/8.))
+
+    while True:
+        integer = read_random_int(nbits)
+
+        # Make sure it's odd
+        integer |= 1
+
+        # Test for primeness
+        if is_prime(integer): break
+
+        # Retry if not prime
+
+    return integer
+
+def are_relatively_prime(a, b):
+    """Returns True if a and b are relatively prime, and False if they
+    are not.
+    """
+
+    d = gcd(a, b)
+    return (d == 1)
+
+def find_p_q(nbits):
+    """Returns a tuple of two different primes of nbits bits"""
+
+    p = getprime(nbits)
+    while True:
+        q = getprime(nbits)
+        if not q == p: break
+    
+    return (p, q)
+
+def extended_euclid_gcd(a, b):
+    """Returns a tuple (d, i, j) such that d = gcd(a, b) = ia + jb
+    """
+
+    if b == 0:
+        return (a, 1, 0)
+
+    q = abs(a % b)
+    r = long(a / b)
+    (d, k, l) = extended_euclid_gcd(b, q)
+
+    return (d, l, k - l*r)
+
+# Main function: calculate encryption and decryption keys
+def calculate_keys(p, q, nbits):
+    """Calculates an encryption and a decryption key for p and q, and
+    returns them as a tuple (e, d)"""
+
+    n = p * q
+    phi_n = (p-1) * (q-1)
+
+    while True:
+        # Make sure e has enough bits so we ensure "wrapping" through
+        # modulo n
+        e = getprime(max(8, nbits/2))
+        if are_relatively_prime(e, n) and are_relatively_prime(e, phi_n): break
+
+    (d, i, j) = extended_euclid_gcd(e, phi_n)
+
+    if not d == 1:
+        raise Exception("e (%d) and phi_n (%d) are not relatively prime" % (e, phi_n))
+
+    if not (e * i) % phi_n == 1:
+        raise Exception("e (%d) and i (%d) are not mult. inv. modulo phi_n (%d)" % (e, i, phi_n))
+
+    return (e, i)
+
+
+def gen_keys(nbits):
+    """Generate RSA keys of nbits bits. Returns (p, q, e, d).
+
+    Note: this can take a long time, depending on the key size.
+    """
+
+    while True:
+        (p, q) = find_p_q(nbits)
+        (e, d) = calculate_keys(p, q, nbits)
+
+        # For some reason, d is sometimes negative. We don't know how
+        # to fix it (yet), so we keep trying until everything is shiny
+        if d > 0: break
+
+    return (p, q, e, d)
+
+def gen_pubpriv_keys(nbits):
+    """Generates public and private keys, and returns them as (pub,
+    priv).
+
+    The public key consists of a dict {e: ..., , n: ....). The private
+    key consists of a dict {d: ...., p: ...., q: ....).
+    """
+    
+    (p, q, e, d) = gen_keys(nbits)
+
+    return ( {'e': e, 'n': p*q}, {'d': d, 'p': p, 'q': q} )
+
+def encrypt_int(message, ekey, n):
+    """Encrypts a message using encryption key 'ekey', working modulo
+    n"""
+
+    if type(message) is types.IntType:
+        return encrypt_int(long(message), ekey, n)
+
+    if not type(message) is types.LongType:
+        raise TypeError("You must pass a long or an int")
+
+    if message > 0 and \
+            math.floor(math.log(message, 2)) > math.floor(math.log(n, 2)):
+        raise OverflowError("The message is too long")
+
+    return fast_exponentiation(message, ekey, n)
+
+def decrypt_int(cyphertext, dkey, n):
+    """Decrypts a cypher text using the decryption key 'dkey', working
+    modulo n"""
+
+    return encrypt_int(cyphertext, dkey, n)
+
+def sign_int(message, dkey, n):
+    """Signs 'message' using key 'dkey', working modulo n"""
+
+    return decrypt_int(message, dkey, n)
+
+def verify_int(signed, ekey, n):
+    """verifies 'signed' using key 'ekey', working modulo n"""
+
+    return encrypt_int(signed, ekey, n)
+
+def picklechops(chops):
+    """Pickles and base64encodes it's argument chops"""
+
+    value = zlib.compress(dumps(chops))
+    encoded = base64.encodestring(value)
+    return encoded.strip()
+
+def unpicklechops(string):
+    """base64decodes and unpickes it's argument string into chops"""
+
+    return loads(zlib.decompress(base64.decodestring(string)))
+
+def chopstring(message, key, n, funcref):
+    """Splits 'message' into chops that are at most as long as n,
+    converts these into integers, and calls funcref(integer, key, n)
+    for each chop.
+
+    Used by 'encrypt' and 'sign'.
+    """
+
+    msglen = len(message)
+    mbits = msglen * 8
+    nbits = int(math.floor(math.log(n, 2)))
+    nbytes = nbits / 8
+    blocks = msglen / nbytes
+
+    if msglen % nbytes > 0:
+        blocks += 1
+
+    cypher = []
+    
+    for bindex in range(blocks):
+        offset = bindex * nbytes
+        block = message[offset:offset+nbytes]
+        value = bytes2int(block)
+        cypher.append(funcref(value, key, n))
+
+    return picklechops(cypher)
+
+def gluechops(chops, key, n, funcref):
+    """Glues chops back together into a string.  calls
+    funcref(integer, key, n) for each chop.
+
+    Used by 'decrypt' and 'verify'.
+    """
+    message = ""
+
+    chops = unpicklechops(chops)
+    
+    for cpart in chops:
+        mpart = funcref(cpart, key, n)
+        message += int2bytes(mpart)
+    
+    return message
+
+def encrypt(message, key):
+    """Encrypts a string 'message' with the public key 'key'"""
+    
+    return chopstring(message, key['e'], key['n'], encrypt_int)
+
+def sign(message, key):
+    """Signs a string 'message' with the private key 'key'"""
+    
+    return chopstring(message, key['d'], key['p']*key['q'], decrypt_int)
+
+def decrypt(cypher, key):
+    """Decrypts a cypher with the private key 'key'"""
+
+    return gluechops(cypher, key['d'], key['p']*key['q'], decrypt_int)
+
+def verify(cypher, key):
+    """Verifies a cypher with the public key 'key'"""
+
+    return gluechops(cypher, key['e'], key['n'], encrypt_int)
+
+# Do doctest if we're not imported
+if __name__ == "__main__":
+    import doctest
+    doctest.testmod()
+
+__all__ = ["gen_pubpriv_keys", "encrypt", "decrypt", "sign", "verify"]
+

venv/Lib/site-packages/rsa/_version200.py

@@ -0,0 +1,513 @@
+# -*- coding: utf-8 -*-
+#
+#  Copyright 2011 Sybren A. Stüvel <sybren@stuvel.eu>
+#
+#  Licensed under the Apache License, Version 2.0 (the "License");
+#  you may not use this file except in compliance with the License.
+#  You may obtain a copy of the License at
+#
+#      https://www.apache.org/licenses/LICENSE-2.0
+#
+#  Unless required by applicable law or agreed to in writing, software
+#  distributed under the License is distributed on an "AS IS" BASIS,
+#  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+#  See the License for the specific language governing permissions and
+#  limitations under the License.
+
+"""Deprecated version of the RSA module
+
+.. deprecated:: 3.0
+
+    This submodule is deprecated and will be completely removed as of version 4.0.
+
+"""
+
+__author__ = "Sybren Stuvel, Marloes de Boer, Ivo Tamboer, and Barry Mead"
+__date__ = "2010-02-08"
+__version__ = '2.0'
+
+import math
+import os
+import random
+import sys
+import types
+from rsa._compat import byte
+
+# Display a warning that this insecure version is imported.
+import warnings
+warnings.warn('Insecure version of the RSA module is imported as %s' % __name__)
+warnings.warn('This submodule is deprecated and will be completely removed as of version 4.0.',
+              DeprecationWarning)
+
+
+def bit_size(number):
+    """Returns the number of bits required to hold a specific long number"""
+
+    return int(math.ceil(math.log(number,2)))
+
+def gcd(p, q):
+    """Returns the greatest common divisor of p and q
+    >>> gcd(48, 180)
+    12
+    """
+    # Iterateive Version is faster and uses much less stack space
+    while q != 0:
+        if p < q: (p,q) = (q,p)
+        (p,q) = (q, p % q)
+    return p
+    
+
+def bytes2int(bytes):
+    r"""Converts a list of bytes or a string to an integer
+    """
+
+    if not (type(bytes) is types.ListType or type(bytes) is types.StringType):
+        raise TypeError("You must pass a string or a list")
+
+    # Convert byte stream to integer
+    integer = 0
+    for byte in bytes:
+        integer *= 256
+        if type(byte) is types.StringType: byte = ord(byte)
+        integer += byte
+
+    return integer
+
+def int2bytes(number):
+    """
+    Converts a number to a string of bytes
+    """
+
+    if not (type(number) is types.LongType or type(number) is types.IntType):
+        raise TypeError("You must pass a long or an int")
+
+    string = ""
+
+    while number > 0:
+        string = "%s%s" % (byte(number & 0xFF), string)
+        number /= 256
+    
+    return string
+
+def to64(number):
+    """Converts a number in the range of 0 to 63 into base 64 digit
+    character in the range of '0'-'9', 'A'-'Z', 'a'-'z','-','_'.
+    """
+
+    if not (type(number) is types.LongType or type(number) is types.IntType):
+        raise TypeError("You must pass a long or an int")
+
+    if 0 <= number <= 9:            #00-09 translates to '0' - '9'
+        return byte(number + 48)
+
+    if 10 <= number <= 35:
+        return byte(number + 55)     #10-35 translates to 'A' - 'Z'
+
+    if 36 <= number <= 61:
+        return byte(number + 61)     #36-61 translates to 'a' - 'z'
+
+    if number == 62:                # 62   translates to '-' (minus)
+        return byte(45)
+
+    if number == 63:                # 63   translates to '_' (underscore)
+        return byte(95)
+
+    raise ValueError('Invalid Base64 value: %i' % number)
+
+
+def from64(number):
+    """Converts an ordinal character value in the range of
+    0-9,A-Z,a-z,-,_ to a number in the range of 0-63.
+    """
+
+    if not (type(number) is types.LongType or type(number) is types.IntType):
+        raise TypeError("You must pass a long or an int")
+
+    if 48 <= number <= 57:         #ord('0') - ord('9') translates to 0-9
+        return(number - 48)
+
+    if 65 <= number <= 90:         #ord('A') - ord('Z') translates to 10-35
+        return(number - 55)
+
+    if 97 <= number <= 122:        #ord('a') - ord('z') translates to 36-61
+        return(number - 61)
+
+    if number == 45:               #ord('-') translates to 62
+        return(62)
+
+    if number == 95:               #ord('_') translates to 63
+        return(63)
+
+    raise ValueError('Invalid Base64 value: %i' % number)
+
+
+def int2str64(number):
+    """Converts a number to a string of base64 encoded characters in
+    the range of '0'-'9','A'-'Z,'a'-'z','-','_'.
+    """
+
+    if not (type(number) is types.LongType or type(number) is types.IntType):
+        raise TypeError("You must pass a long or an int")
+
+    string = ""
+
+    while number > 0:
+        string = "%s%s" % (to64(number & 0x3F), string)
+        number /= 64
+
+    return string
+
+
+def str642int(string):
+    """Converts a base64 encoded string into an integer.
+    The chars of this string in in the range '0'-'9','A'-'Z','a'-'z','-','_'
+    """
+
+    if not (type(string) is types.ListType or type(string) is types.StringType):
+        raise TypeError("You must pass a string or a list")
+
+    integer = 0
+    for byte in string:
+        integer *= 64
+        if type(byte) is types.StringType: byte = ord(byte)
+        integer += from64(byte)
+
+    return integer
+
+def read_random_int(nbits):
+    """Reads a random integer of approximately nbits bits rounded up
+    to whole bytes"""
+
+    nbytes = int(math.ceil(nbits/8.))
+    randomdata = os.urandom(nbytes)
+    return bytes2int(randomdata)
+
+def randint(minvalue, maxvalue):
+    """Returns a random integer x with minvalue <= x <= maxvalue"""
+
+    # Safety - get a lot of random data even if the range is fairly
+    # small
+    min_nbits = 32
+
+    # The range of the random numbers we need to generate
+    range = (maxvalue - minvalue) + 1
+
+    # Which is this number of bytes
+    rangebytes = ((bit_size(range) + 7) / 8)
+
+    # Convert to bits, but make sure it's always at least min_nbits*2
+    rangebits = max(rangebytes * 8, min_nbits * 2)
+    
+    # Take a random number of bits between min_nbits and rangebits
+    nbits = random.randint(min_nbits, rangebits)
+    
+    return (read_random_int(nbits) % range) + minvalue
+
+def jacobi(a, b):
+    """Calculates the value of the Jacobi symbol (a/b)
+    where both a and b are positive integers, and b is odd
+    """
+
+    if a == 0: return 0
+    result = 1
+    while a > 1:
+        if a & 1:
+            if ((a-1)*(b-1) >> 2) & 1:
+                result = -result
+            a, b = b % a, a
+        else:
+            if (((b * b) - 1) >> 3) & 1:
+                result = -result
+            a >>= 1
+    if a == 0: return 0
+    return result
+
+def jacobi_witness(x, n):
+    """Returns False if n is an Euler pseudo-prime with base x, and
+    True otherwise.
+    """
+
+    j = jacobi(x, n) % n
+    f = pow(x, (n-1)/2, n)
+
+    if j == f: return False
+    return True
+
+def randomized_primality_testing(n, k):
+    """Calculates whether n is composite (which is always correct) or
+    prime (which is incorrect with error probability 2**-k)
+
+    Returns False if the number is composite, and True if it's
+    probably prime.
+    """
+
+    # 50% of Jacobi-witnesses can report compositness of non-prime numbers
+
+    for i in range(k):
+        x = randint(1, n-1)
+        if jacobi_witness(x, n): return False
+    
+    return True
+
+def is_prime(number):
+    """Returns True if the number is prime, and False otherwise.
+    """
+
+    if randomized_primality_testing(number, 6):
+        # Prime, according to Jacobi
+        return True
+    
+    # Not prime
+    return False
+
+    
+def getprime(nbits):
+    """Returns a prime number of max. 'math.ceil(nbits/8)*8' bits. In
+    other words: nbits is rounded up to whole bytes.
+    """
+
+    while True:
+        integer = read_random_int(nbits)
+
+        # Make sure it's odd
+        integer |= 1
+
+        # Test for primeness
+        if is_prime(integer): break
+
+        # Retry if not prime
+
+    return integer
+
+def are_relatively_prime(a, b):
+    """Returns True if a and b are relatively prime, and False if they
+    are not.
+
+    >>> are_relatively_prime(2, 3)
+    1
+    >>> are_relatively_prime(2, 4)
+    0
+    """
+
+    d = gcd(a, b)
+    return (d == 1)
+
+def find_p_q(nbits):
+    """Returns a tuple of two different primes of nbits bits"""
+    pbits = nbits + (nbits/16)  #Make sure that p and q aren't too close
+    qbits = nbits - (nbits/16)  #or the factoring programs can factor n
+    p = getprime(pbits)
+    while True:
+        q = getprime(qbits)
+        #Make sure p and q are different.
+        if not q == p: break
+    return (p, q)
+
+def extended_gcd(a, b):
+    """Returns a tuple (r, i, j) such that r = gcd(a, b) = ia + jb
+    """
+    # r = gcd(a,b) i = multiplicitive inverse of a mod b
+    #      or      j = multiplicitive inverse of b mod a
+    # Neg return values for i or j are made positive mod b or a respectively
+    # Iterateive Version is faster and uses much less stack space
+    x = 0
+    y = 1
+    lx = 1
+    ly = 0
+    oa = a                             #Remember original a/b to remove 
+    ob = b                             #negative values from return results
+    while b != 0:
+        q = long(a/b)
+        (a, b)  = (b, a % b)
+        (x, lx) = ((lx - (q * x)),x)
+        (y, ly) = ((ly - (q * y)),y)
+    if (lx < 0): lx += ob              #If neg wrap modulo orignal b
+    if (ly < 0): ly += oa              #If neg wrap modulo orignal a
+    return (a, lx, ly)                 #Return only positive values
+
+# Main function: calculate encryption and decryption keys
+def calculate_keys(p, q, nbits):
+    """Calculates an encryption and a decryption key for p and q, and
+    returns them as a tuple (e, d)"""
+
+    n = p * q
+    phi_n = (p-1) * (q-1)
+
+    while True:
+        # Make sure e has enough bits so we ensure "wrapping" through
+        # modulo n
+        e = max(65537,getprime(nbits/4))
+        if are_relatively_prime(e, n) and are_relatively_prime(e, phi_n): break
+
+    (d, i, j) = extended_gcd(e, phi_n)
+
+    if not d == 1:
+        raise Exception("e (%d) and phi_n (%d) are not relatively prime" % (e, phi_n))
+    if (i < 0):
+        raise Exception("New extended_gcd shouldn't return negative values")
+    if not (e * i) % phi_n == 1:
+        raise Exception("e (%d) and i (%d) are not mult. inv. modulo phi_n (%d)" % (e, i, phi_n))
+
+    return (e, i)
+
+
+def gen_keys(nbits):
+    """Generate RSA keys of nbits bits. Returns (p, q, e, d).
+
+    Note: this can take a long time, depending on the key size.
+    """
+
+    (p, q) = find_p_q(nbits)
+    (e, d) = calculate_keys(p, q, nbits)
+
+    return (p, q, e, d)
+
+def newkeys(nbits):
+    """Generates public and private keys, and returns them as (pub,
+    priv).
+
+    The public key consists of a dict {e: ..., , n: ....). The private
+    key consists of a dict {d: ...., p: ...., q: ....).
+    """
+    nbits = max(9,nbits)           # Don't let nbits go below 9 bits
+    (p, q, e, d) = gen_keys(nbits)
+
+    return ( {'e': e, 'n': p*q}, {'d': d, 'p': p, 'q': q} )
+
+def encrypt_int(message, ekey, n):
+    """Encrypts a message using encryption key 'ekey', working modulo n"""
+
+    if type(message) is types.IntType:
+        message = long(message)
+
+    if not type(message) is types.LongType:
+        raise TypeError("You must pass a long or int")
+
+    if message < 0 or message > n:
+        raise OverflowError("The message is too long")
+
+    #Note: Bit exponents start at zero (bit counts start at 1) this is correct
+    safebit = bit_size(n) - 2                   #compute safe bit (MSB - 1)
+    message += (1 << safebit)                   #add safebit to ensure folding
+
+    return pow(message, ekey, n)
+
+def decrypt_int(cyphertext, dkey, n):
+    """Decrypts a cypher text using the decryption key 'dkey', working
+    modulo n"""
+
+    message = pow(cyphertext, dkey, n)
+
+    safebit = bit_size(n) - 2                   #compute safe bit (MSB - 1)
+    message -= (1 << safebit)                   #remove safebit before decode
+
+    return message
+
+def encode64chops(chops):
+    """base64encodes chops and combines them into a ',' delimited string"""
+
+    chips = []                              #chips are character chops
+
+    for value in chops:
+        chips.append(int2str64(value))
+
+    #delimit chops with comma
+    encoded = ','.join(chips)
+
+    return encoded
+
+def decode64chops(string):
+    """base64decodes and makes a ',' delimited string into chops"""
+
+    chips = string.split(',')               #split chops at commas
+
+    chops = []
+
+    for string in chips:                    #make char chops (chips) into chops
+        chops.append(str642int(string))
+
+    return chops
+
+def chopstring(message, key, n, funcref):
+    """Chops the 'message' into integers that fit into n,
+    leaving room for a safebit to be added to ensure that all
+    messages fold during exponentiation.  The MSB of the number n
+    is not independant modulo n (setting it could cause overflow), so
+    use the next lower bit for the safebit.  Therefore reserve 2-bits
+    in the number n for non-data bits.  Calls specified encryption
+    function for each chop.
+
+    Used by 'encrypt' and 'sign'.
+    """
+
+    msglen = len(message)
+    mbits = msglen * 8
+    #Set aside 2-bits so setting of safebit won't overflow modulo n.
+    nbits = bit_size(n) - 2             # leave room for safebit
+    nbytes = nbits / 8
+    blocks = msglen / nbytes
+
+    if msglen % nbytes > 0:
+        blocks += 1
+
+    cypher = []
+    
+    for bindex in range(blocks):
+        offset = bindex * nbytes
+        block = message[offset:offset+nbytes]
+        value = bytes2int(block)
+        cypher.append(funcref(value, key, n))
+
+    return encode64chops(cypher)   #Encode encrypted ints to base64 strings
+
+def gluechops(string, key, n, funcref):
+    """Glues chops back together into a string.  calls
+    funcref(integer, key, n) for each chop.
+
+    Used by 'decrypt' and 'verify'.
+    """
+    message = ""
+
+    chops = decode64chops(string)  #Decode base64 strings into integer chops
+    
+    for cpart in chops:
+        mpart = funcref(cpart, key, n) #Decrypt each chop
+        message += int2bytes(mpart)    #Combine decrypted strings into a msg
+    
+    return message
+
+def encrypt(message, key):
+    """Encrypts a string 'message' with the public key 'key'"""
+    if 'n' not in key:
+        raise Exception("You must use the public key with encrypt")
+
+    return chopstring(message, key['e'], key['n'], encrypt_int)
+
+def sign(message, key):
+    """Signs a string 'message' with the private key 'key'"""
+    if 'p' not in key:
+        raise Exception("You must use the private key with sign")
+
+    return chopstring(message, key['d'], key['p']*key['q'], encrypt_int)
+
+def decrypt(cypher, key):
+    """Decrypts a string 'cypher' with the private key 'key'"""
+    if 'p' not in key:
+        raise Exception("You must use the private key with decrypt")
+
+    return gluechops(cypher, key['d'], key['p']*key['q'], decrypt_int)
+
+def verify(cypher, key):
+    """Verifies a string 'cypher' with the public key 'key'"""
+    if 'n' not in key:
+        raise Exception("You must use the public key with verify")
+
+    return gluechops(cypher, key['e'], key['n'], decrypt_int)
+
+# Do doctest if we're not imported
+if __name__ == "__main__":
+    import doctest
+    doctest.testmod()
+
+__all__ = ["newkeys", "encrypt", "decrypt", "sign", "verify"]
+

venv/Lib/site-packages/rsa/asn1.py

@@ -0,0 +1,51 @@
+#  Copyright 2011 Sybren A. Stüvel <sybren@stuvel.eu>
+#
+#  Licensed under the Apache License, Version 2.0 (the "License");
+#  you may not use this file except in compliance with the License.
+#  You may obtain a copy of the License at
+#
+#      https://www.apache.org/licenses/LICENSE-2.0
+#
+#  Unless required by applicable law or agreed to in writing, software
+#  distributed under the License is distributed on an "AS IS" BASIS,
+#  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+#  See the License for the specific language governing permissions and
+#  limitations under the License.
+
+"""ASN.1 definitions.
+
+Not all ASN.1-handling code use these definitions, but when it does, they should be here.
+"""
+
+from pyasn1.type import univ, namedtype, tag
+
+
+class PubKeyHeader(univ.Sequence):
+    componentType = namedtype.NamedTypes(
+            namedtype.NamedType('oid', univ.ObjectIdentifier()),
+            namedtype.NamedType('parameters', univ.Null()),
+    )
+
+
+class OpenSSLPubKey(univ.Sequence):
+    componentType = namedtype.NamedTypes(
+            namedtype.NamedType('header', PubKeyHeader()),
+
+            # This little hack (the implicit tag) allows us to get a Bit String as Octet String
+            namedtype.NamedType('key', univ.OctetString().subtype(
+                    implicitTag=tag.Tag(tagClass=0, tagFormat=0, tagId=3))),
+    )
+
+
+class AsnPubKey(univ.Sequence):
+    """ASN.1 contents of DER encoded public key:
+
+    RSAPublicKey ::= SEQUENCE {
+         modulus           INTEGER,  -- n
+         publicExponent    INTEGER,  -- e
+    """
+
+    componentType = namedtype.NamedTypes(
+            namedtype.NamedType('modulus', univ.Integer()),
+            namedtype.NamedType('publicExponent', univ.Integer()),
+    )

venv/Lib/site-packages/rsa/bigfile.py

@@ -0,0 +1,135 @@
+# -*- coding: utf-8 -*-
+#
+#  Copyright 2011 Sybren A. Stüvel <sybren@stuvel.eu>
+#
+#  Licensed under the Apache License, Version 2.0 (the "License");
+#  you may not use this file except in compliance with the License.
+#  You may obtain a copy of the License at
+#
+#      https://www.apache.org/licenses/LICENSE-2.0
+#
+#  Unless required by applicable law or agreed to in writing, software
+#  distributed under the License is distributed on an "AS IS" BASIS,
+#  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+#  See the License for the specific language governing permissions and
+#  limitations under the License.
+
+"""Large file support
+
+.. deprecated:: 3.4
+
+    The VARBLOCK format is NOT recommended for general use, has been deprecated since
+    Python-RSA 3.4, and will be removed in a future release. It's vulnerable to a
+    number of attacks:
+
+    1. decrypt/encrypt_bigfile() does not implement `Authenticated encryption`_ nor
+       uses MACs to verify messages before decrypting public key encrypted messages.
+
+    2. decrypt/encrypt_bigfile() does not use hybrid encryption (it uses plain RSA)
+       and has no method for chaining, so block reordering is possible.
+
+    See `issue #19 on Github`_ for more information.
+
+.. _Authenticated encryption: https://en.wikipedia.org/wiki/Authenticated_encryption
+.. _issue #19 on Github: https://github.com/sybrenstuvel/python-rsa/issues/13
+
+
+This module contains functions to:
+
+    - break a file into smaller blocks, and encrypt them, and store the
+      encrypted blocks in another file.
+
+    - take such an encrypted files, decrypt its blocks, and reconstruct the
+      original file.
+
+The encrypted file format is as follows, where || denotes byte concatenation:
+
+    FILE := VERSION || BLOCK || BLOCK ...
+
+    BLOCK := LENGTH || DATA
+
+    LENGTH := varint-encoded length of the subsequent data. Varint comes from
+    Google Protobuf, and encodes an integer into a variable number of bytes.
+    Each byte uses the 7 lowest bits to encode the value. The highest bit set
+    to 1 indicates the next byte is also part of the varint. The last byte will
+    have this bit set to 0.
+
+This file format is called the VARBLOCK format, in line with the varint format
+used to denote the block sizes.
+
+"""
+
+import warnings
+
+from rsa import key, common, pkcs1, varblock
+from rsa._compat import byte
+
+
+def encrypt_bigfile(infile, outfile, pub_key):
+    """Encrypts a file, writing it to 'outfile' in VARBLOCK format.
+
+    .. deprecated:: 3.4
+        This function was deprecated in Python-RSA version 3.4 due to security issues
+        in the VARBLOCK format. See the documentation_ for more information.
+
+    .. _documentation: https://stuvel.eu/python-rsa-doc/usage.html#working-with-big-files
+
+    :param infile: file-like object to read the cleartext from
+    :param outfile: file-like object to write the crypto in VARBLOCK format to
+    :param pub_key: :py:class:`rsa.PublicKey` to encrypt with
+
+    """
+
+    warnings.warn("The 'rsa.bigfile.encrypt_bigfile' function was deprecated in Python-RSA version "
+                  "3.4 due to security issues in the VARBLOCK format. See "
+                  "https://stuvel.eu/python-rsa-doc/usage.html#working-with-big-files "
+                  "for more information.",
+                  DeprecationWarning, stacklevel=2)
+
+    if not isinstance(pub_key, key.PublicKey):
+        raise TypeError('Public key required, but got %r' % pub_key)
+
+    key_bytes = common.bit_size(pub_key.n) // 8
+    blocksize = key_bytes - 11  # keep space for PKCS#1 padding
+
+    # Write the version number to the VARBLOCK file
+    outfile.write(byte(varblock.VARBLOCK_VERSION))
+
+    # Encrypt and write each block
+    for block in varblock.yield_fixedblocks(infile, blocksize):
+        crypto = pkcs1.encrypt(block, pub_key)
+
+        varblock.write_varint(outfile, len(crypto))
+        outfile.write(crypto)
+
+
+def decrypt_bigfile(infile, outfile, priv_key):
+    """Decrypts an encrypted VARBLOCK file, writing it to 'outfile'
+
+    .. deprecated:: 3.4
+        This function was deprecated in Python-RSA version 3.4 due to security issues
+        in the VARBLOCK format. See the documentation_ for more information.
+
+    .. _documentation: https://stuvel.eu/python-rsa-doc/usage.html#working-with-big-files
+
+    :param infile: file-like object to read the crypto in VARBLOCK format from
+    :param outfile: file-like object to write the cleartext to
+    :param priv_key: :py:class:`rsa.PrivateKey` to decrypt with
+
+    """
+
+    warnings.warn("The 'rsa.bigfile.decrypt_bigfile' function was deprecated in Python-RSA version "
+                  "3.4 due to security issues in the VARBLOCK format. See "
+                  "https://stuvel.eu/python-rsa-doc/usage.html#working-with-big-files "
+                  "for more information.",
+                  DeprecationWarning, stacklevel=2)
+
+    if not isinstance(priv_key, key.PrivateKey):
+        raise TypeError('Private key required, but got %r' % priv_key)
+
+    for block in varblock.yield_varblocks(infile):
+        cleartext = pkcs1.decrypt(block, priv_key)
+        outfile.write(cleartext)
+
+
+__all__ = ['encrypt_bigfile', 'decrypt_bigfile']

venv/Lib/site-packages/rsa/cli.py

@@ -0,0 +1,292 @@
+#  Copyright 2011 Sybren A. Stüvel <sybren@stuvel.eu>
+#
+#  Licensed under the Apache License, Version 2.0 (the "License");
+#  you may not use this file except in compliance with the License.
+#  You may obtain a copy of the License at
+#
+#      https://www.apache.org/licenses/LICENSE-2.0
+#
+#  Unless required by applicable law or agreed to in writing, software
+#  distributed under the License is distributed on an "AS IS" BASIS,
+#  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+#  See the License for the specific language governing permissions and
+#  limitations under the License.
+
+"""Commandline scripts.
+
+These scripts are called by the executables defined in setup.py.
+"""
+
+import abc
+import sys
+import typing
+import optparse
+
+import rsa
+import rsa.key
+import rsa.pkcs1
+
+HASH_METHODS = sorted(rsa.pkcs1.HASH_METHODS.keys())
+Indexable = typing.Union[typing.Tuple, typing.List[str]]
+
+
+def keygen() -> None:
+    """Key generator."""
+
+    # Parse the CLI options
+    parser = optparse.OptionParser(usage='usage: %prog [options] keysize',
+                                   description='Generates a new RSA keypair of "keysize" bits.')
+
+    parser.add_option('--pubout', type='string',
+                      help='Output filename for the public key. The public key is '
+                           'not saved if this option is not present. You can use '
+                           'pyrsa-priv2pub to create the public key file later.')
+
+    parser.add_option('-o', '--out', type='string',
+                      help='Output filename for the private key. The key is '
+                           'written to stdout if this option is not present.')
+
+    parser.add_option('--form',
+                      help='key format of the private and public keys - default PEM',
+                      choices=('PEM', 'DER'), default='PEM')
+
+    (cli, cli_args) = parser.parse_args(sys.argv[1:])
+
+    if len(cli_args) != 1:
+        parser.print_help()
+        raise SystemExit(1)
+
+    try:
+        keysize = int(cli_args[0])
+    except ValueError:
+        parser.print_help()
+        print('Not a valid number: %s' % cli_args[0], file=sys.stderr)
+        raise SystemExit(1)
+
+    print('Generating %i-bit key' % keysize, file=sys.stderr)
+    (pub_key, priv_key) = rsa.newkeys(keysize)
+
+    # Save public key
+    if cli.pubout:
+        print('Writing public key to %s' % cli.pubout, file=sys.stderr)
+        data = pub_key.save_pkcs1(format=cli.form)
+        with open(cli.pubout, 'wb') as outfile:
+            outfile.write(data)
+
+    # Save private key
+    data = priv_key.save_pkcs1(format=cli.form)
+
+    if cli.out:
+        print('Writing private key to %s' % cli.out, file=sys.stderr)
+        with open(cli.out, 'wb') as outfile:
+            outfile.write(data)
+    else:
+        print('Writing private key to stdout', file=sys.stderr)
+        sys.stdout.buffer.write(data)
+
+
+class CryptoOperation(metaclass=abc.ABCMeta):
+    """CLI callable that operates with input, output, and a key."""
+
+    keyname = 'public'  # or 'private'
+    usage = 'usage: %%prog [options] %(keyname)s_key'
+    description = ''
+    operation = 'decrypt'
+    operation_past = 'decrypted'
+    operation_progressive = 'decrypting'
+    input_help = 'Name of the file to %(operation)s. Reads from stdin if ' \
+                 'not specified.'
+    output_help = 'Name of the file to write the %(operation_past)s file ' \
+                  'to. Written to stdout if this option is not present.'
+    expected_cli_args = 1
+    has_output = True
+
+    key_class = rsa.PublicKey  # type: typing.Type[rsa.key.AbstractKey]
+
+    def __init__(self) -> None:
+        self.usage = self.usage % self.__class__.__dict__
+        self.input_help = self.input_help % self.__class__.__dict__
+        self.output_help = self.output_help % self.__class__.__dict__
+
+    @abc.abstractmethod
+    def perform_operation(self, indata: bytes, key: rsa.key.AbstractKey,
+                          cli_args: Indexable) -> typing.Any:
+        """Performs the program's operation.
+
+        Implement in a subclass.
+
+        :returns: the data to write to the output.
+        """
+
+    def __call__(self) -> None:
+        """Runs the program."""
+
+        (cli, cli_args) = self.parse_cli()
+
+        key = self.read_key(cli_args[0], cli.keyform)
+
+        indata = self.read_infile(cli.input)
+
+        print(self.operation_progressive.title(), file=sys.stderr)
+        outdata = self.perform_operation(indata, key, cli_args)
+
+        if self.has_output:
+            self.write_outfile(outdata, cli.output)
+
+    def parse_cli(self) -> typing.Tuple[optparse.Values, typing.List[str]]:
+        """Parse the CLI options
+
+        :returns: (cli_opts, cli_args)
+        """
+
+        parser = optparse.OptionParser(usage=self.usage, description=self.description)
+
+        parser.add_option('-i', '--input', type='string', help=self.input_help)
+
+        if self.has_output:
+            parser.add_option('-o', '--output', type='string', help=self.output_help)
+
+        parser.add_option('--keyform',
+                          help='Key format of the %s key - default PEM' % self.keyname,
+                          choices=('PEM', 'DER'), default='PEM')
+
+        (cli, cli_args) = parser.parse_args(sys.argv[1:])
+
+        if len(cli_args) != self.expected_cli_args:
+            parser.print_help()
+            raise SystemExit(1)
+
+        return cli, cli_args
+
+    def read_key(self, filename: str, keyform: str) -> rsa.key.AbstractKey:
+        """Reads a public or private key."""
+
+        print('Reading %s key from %s' % (self.keyname, filename), file=sys.stderr)
+        with open(filename, 'rb') as keyfile:
+            keydata = keyfile.read()
+
+        return self.key_class.load_pkcs1(keydata, keyform)
+
+    def read_infile(self, inname: str) -> bytes:
+        """Read the input file"""
+
+        if inname:
+            print('Reading input from %s' % inname, file=sys.stderr)
+            with open(inname, 'rb') as infile:
+                return infile.read()
+
+        print('Reading input from stdin', file=sys.stderr)
+        return sys.stdin.buffer.read()
+
+    def write_outfile(self, outdata: bytes, outname: str) -> None:
+        """Write the output file"""
+
+        if outname:
+            print('Writing output to %s' % outname, file=sys.stderr)
+            with open(outname, 'wb') as outfile:
+                outfile.write(outdata)
+        else:
+            print('Writing output to stdout', file=sys.stderr)
+            sys.stdout.buffer.write(outdata)
+
+
+class EncryptOperation(CryptoOperation):
+    """Encrypts a file."""
+
+    keyname = 'public'
+    description = ('Encrypts a file. The file must be shorter than the key '
+                   'length in order to be encrypted.')
+    operation = 'encrypt'
+    operation_past = 'encrypted'
+    operation_progressive = 'encrypting'
+
+    def perform_operation(self, indata: bytes, pub_key: rsa.key.AbstractKey,
+                          cli_args: Indexable = ()) -> bytes:
+        """Encrypts files."""
+        assert isinstance(pub_key, rsa.key.PublicKey)
+        return rsa.encrypt(indata, pub_key)
+
+
+class DecryptOperation(CryptoOperation):
+    """Decrypts a file."""
+
+    keyname = 'private'
+    description = ('Decrypts a file. The original file must be shorter than '
+                   'the key length in order to have been encrypted.')
+    operation = 'decrypt'
+    operation_past = 'decrypted'
+    operation_progressive = 'decrypting'
+    key_class = rsa.PrivateKey
+
+    def perform_operation(self, indata: bytes, priv_key: rsa.key.AbstractKey,
+                          cli_args: Indexable = ()) -> bytes:
+        """Decrypts files."""
+        assert isinstance(priv_key, rsa.key.PrivateKey)
+        return rsa.decrypt(indata, priv_key)
+
+
+class SignOperation(CryptoOperation):
+    """Signs a file."""
+
+    keyname = 'private'
+    usage = 'usage: %%prog [options] private_key hash_method'
+    description = ('Signs a file, outputs the signature. Choose the hash '
+                   'method from %s' % ', '.join(HASH_METHODS))
+    operation = 'sign'
+    operation_past = 'signature'
+    operation_progressive = 'Signing'
+    key_class = rsa.PrivateKey
+    expected_cli_args = 2
+
+    output_help = ('Name of the file to write the signature to. Written '
+                   'to stdout if this option is not present.')
+
+    def perform_operation(self, indata: bytes, priv_key: rsa.key.AbstractKey,
+                          cli_args: Indexable) -> bytes:
+        """Signs files."""
+        assert isinstance(priv_key, rsa.key.PrivateKey)
+
+        hash_method = cli_args[1]
+        if hash_method not in HASH_METHODS:
+            raise SystemExit('Invalid hash method, choose one of %s' %
+                             ', '.join(HASH_METHODS))
+
+        return rsa.sign(indata, priv_key, hash_method)
+
+
+class VerifyOperation(CryptoOperation):
+    """Verify a signature."""
+
+    keyname = 'public'
+    usage = 'usage: %%prog [options] public_key signature_file'
+    description = ('Verifies a signature, exits with status 0 upon success, '
+                   'prints an error message and exits with status 1 upon error.')
+    operation = 'verify'
+    operation_past = 'verified'
+    operation_progressive = 'Verifying'
+    key_class = rsa.PublicKey
+    expected_cli_args = 2
+    has_output = False
+
+    def perform_operation(self, indata: bytes, pub_key: rsa.key.AbstractKey,
+                          cli_args: Indexable) -> None:
+        """Verifies files."""
+        assert isinstance(pub_key, rsa.key.PublicKey)
+
+        signature_file = cli_args[1]
+
+        with open(signature_file, 'rb') as sigfile:
+            signature = sigfile.read()
+
+        try:
+            rsa.verify(indata, signature, pub_key)
+        except rsa.VerificationError:
+            raise SystemExit('Verification failed.')
+
+        print('Verification OK', file=sys.stderr)
+
+
+encrypt = EncryptOperation()
+decrypt = DecryptOperation()
+sign = SignOperation()
+verify = VerifyOperation()

venv/Lib/site-packages/rsa/common.py

@@ -0,0 +1,185 @@
+#  Copyright 2011 Sybren A. Stüvel <sybren@stuvel.eu>
+#
+#  Licensed under the Apache License, Version 2.0 (the "License");
+#  you may not use this file except in compliance with the License.
+#  You may obtain a copy of the License at
+#
+#      https://www.apache.org/licenses/LICENSE-2.0
+#
+#  Unless required by applicable law or agreed to in writing, software
+#  distributed under the License is distributed on an "AS IS" BASIS,
+#  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+#  See the License for the specific language governing permissions and
+#  limitations under the License.
+
+"""Common functionality shared by several modules."""
+
+import typing
+
+
+class NotRelativePrimeError(ValueError):
+    def __init__(self, a: int, b: int, d: int, msg: str = '') -> None:
+        super().__init__(msg or "%d and %d are not relatively prime, divider=%i" % (a, b, d))
+        self.a = a
+        self.b = b
+        self.d = d
+
+
+def bit_size(num: int) -> int:
+    """
+    Number of bits needed to represent a integer excluding any prefix
+    0 bits.
+
+    Usage::
+
+        >>> bit_size(1023)
+        10
+        >>> bit_size(1024)
+        11
+        >>> bit_size(1025)
+        11
+
+    :param num:
+        Integer value. If num is 0, returns 0. Only the absolute value of the
+        number is considered. Therefore, signed integers will be abs(num)
+        before the number's bit length is determined.
+    :returns:
+        Returns the number of bits in the integer.
+    """
+
+    try:
+        return num.bit_length()
+    except AttributeError:
+        raise TypeError('bit_size(num) only supports integers, not %r' % type(num))
+
+
+def byte_size(number: int) -> int:
+    """
+    Returns the number of bytes required to hold a specific long number.
+
+    The number of bytes is rounded up.
+
+    Usage::
+
+        >>> byte_size(1 << 1023)
+        128
+        >>> byte_size((1 << 1024) - 1)
+        128
+        >>> byte_size(1 << 1024)
+        129
+
+    :param number:
+        An unsigned integer
+    :returns:
+        The number of bytes required to hold a specific long number.
+    """
+    if number == 0:
+        return 1
+    return ceil_div(bit_size(number), 8)
+
+
+def ceil_div(num: int, div: int) -> int:
+    """
+    Returns the ceiling function of a division between `num` and `div`.
+
+    Usage::
+
+        >>> ceil_div(100, 7)
+        15
+        >>> ceil_div(100, 10)
+        10
+        >>> ceil_div(1, 4)
+        1
+
+    :param num: Division's numerator, a number
+    :param div: Division's divisor, a number
+
+    :return: Rounded up result of the division between the parameters.
+    """
+    quanta, mod = divmod(num, div)
+    if mod:
+        quanta += 1
+    return quanta
+
+
+def extended_gcd(a: int, b: int) -> typing.Tuple[int, int, int]:
+    """Returns a tuple (r, i, j) such that r = gcd(a, b) = ia + jb
+    """
+    # r = gcd(a,b) i = multiplicitive inverse of a mod b
+    #      or      j = multiplicitive inverse of b mod a
+    # Neg return values for i or j are made positive mod b or a respectively
+    # Iterateive Version is faster and uses much less stack space
+    x = 0
+    y = 1
+    lx = 1
+    ly = 0
+    oa = a  # Remember original a/b to remove
+    ob = b  # negative values from return results
+    while b != 0:
+        q = a // b
+        (a, b) = (b, a % b)
+        (x, lx) = ((lx - (q * x)), x)
+        (y, ly) = ((ly - (q * y)), y)
+    if lx < 0:
+        lx += ob  # If neg wrap modulo orignal b
+    if ly < 0:
+        ly += oa  # If neg wrap modulo orignal a
+    return a, lx, ly  # Return only positive values
+
+
+def inverse(x: int, n: int) -> int:
+    """Returns the inverse of x % n under multiplication, a.k.a x^-1 (mod n)
+
+    >>> inverse(7, 4)
+    3
+    >>> (inverse(143, 4) * 143) % 4
+    1
+    """
+
+    (divider, inv, _) = extended_gcd(x, n)
+
+    if divider != 1:
+        raise NotRelativePrimeError(x, n, divider)
+
+    return inv
+
+
+def crt(a_values: typing.Iterable[int], modulo_values: typing.Iterable[int]) -> int:
+    """Chinese Remainder Theorem.
+
+    Calculates x such that x = a[i] (mod m[i]) for each i.
+
+    :param a_values: the a-values of the above equation
+    :param modulo_values: the m-values of the above equation
+    :returns: x such that x = a[i] (mod m[i]) for each i
+
+
+    >>> crt([2, 3], [3, 5])
+    8
+
+    >>> crt([2, 3, 2], [3, 5, 7])
+    23
+
+    >>> crt([2, 3, 0], [7, 11, 15])
+    135
+    """
+
+    m = 1
+    x = 0
+
+    for modulo in modulo_values:
+        m *= modulo
+
+    for (m_i, a_i) in zip(modulo_values, a_values):
+        M_i = m // m_i
+        inv = inverse(M_i, m_i)
+
+        x = (x + a_i * M_i * inv) % m
+
+    return x
+
+
+if __name__ == '__main__':
+    import doctest
+
+    doctest.testmod()

venv/Lib/site-packages/rsa/core.py

@@ -0,0 +1,53 @@
+#  Copyright 2011 Sybren A. Stüvel <sybren@stuvel.eu>
+#
+#  Licensed under the Apache License, Version 2.0 (the "License");
+#  you may not use this file except in compliance with the License.
+#  You may obtain a copy of the License at
+#
+#      https://www.apache.org/licenses/LICENSE-2.0
+#
+#  Unless required by applicable law or agreed to in writing, software
+#  distributed under the License is distributed on an "AS IS" BASIS,
+#  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+#  See the License for the specific language governing permissions and
+#  limitations under the License.
+
+"""Core mathematical operations.
+
+This is the actual core RSA implementation, which is only defined
+mathematically on integers.
+"""
+
+
+def assert_int(var: int, name: str) -> None:
+    if isinstance(var, int):
+        return
+
+    raise TypeError('%s should be an integer, not %s' % (name, var.__class__))
+
+
+def encrypt_int(message: int, ekey: int, n: int) -> int:
+    """Encrypts a message using encryption key 'ekey', working modulo n"""
+
+    assert_int(message, 'message')
+    assert_int(ekey, 'ekey')
+    assert_int(n, 'n')
+
+    if message < 0:
+        raise ValueError('Only non-negative numbers are supported')
+
+    if message > n:
+        raise OverflowError("The message %i is too long for n=%i" % (message, n))
+
+    return pow(message, ekey, n)
+
+
+def decrypt_int(cyphertext: int, dkey: int, n: int) -> int:
+    """Decrypts a cypher text using the decryption key 'dkey', working modulo n"""
+
+    assert_int(cyphertext, 'cyphertext')
+    assert_int(dkey, 'dkey')
+    assert_int(n, 'n')
+
+    message = pow(cyphertext, dkey, n)
+    return message

venv/Lib/site-packages/rsa/key.py

@@ -0,0 +1,803 @@
+#  Copyright 2011 Sybren A. Stüvel <sybren@stuvel.eu>
+#
+#  Licensed under the Apache License, Version 2.0 (the "License");
+#  you may not use this file except in compliance with the License.
+#  You may obtain a copy of the License at
+#
+#      https://www.apache.org/licenses/LICENSE-2.0
+#
+#  Unless required by applicable law or agreed to in writing, software
+#  distributed under the License is distributed on an "AS IS" BASIS,
+#  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+#  See the License for the specific language governing permissions and
+#  limitations under the License.
+
+"""RSA key generation code.
+
+Create new keys with the newkeys() function. It will give you a PublicKey and a
+PrivateKey object.
+
+Loading and saving keys requires the pyasn1 module. This module is imported as
+late as possible, such that other functionality will remain working in absence
+of pyasn1.
+
+.. note::
+
+    Storing public and private keys via the `pickle` module is possible.
+    However, it is insecure to load a key from an untrusted source.
+    The pickle module is not secure against erroneous or maliciously
+    constructed data. Never unpickle data received from an untrusted
+    or unauthenticated source.
+
+"""
+
+import logging
+import typing
+import warnings
+
+import rsa.prime
+import rsa.pem
+import rsa.common
+import rsa.randnum
+import rsa.core
+
+
+log = logging.getLogger(__name__)
+DEFAULT_EXPONENT = 65537
+
+
+class AbstractKey:
+    """Abstract superclass for private and public keys."""
+
+    __slots__ = ('n', 'e')
+
+    def __init__(self, n: int, e: int) -> None:
+        self.n = n
+        self.e = e
+
+    @classmethod
+    def _load_pkcs1_pem(cls, keyfile: bytes) -> 'AbstractKey':
+        """Loads a key in PKCS#1 PEM format, implement in a subclass.
+
+        :param keyfile: contents of a PEM-encoded file that contains
+            the public key.
+        :type keyfile: bytes
+
+        :return: the loaded key
+        :rtype: AbstractKey
+        """
+
+    @classmethod
+    def _load_pkcs1_der(cls, keyfile: bytes) -> 'AbstractKey':
+        """Loads a key in PKCS#1 PEM format, implement in a subclass.
+
+        :param keyfile: contents of a DER-encoded file that contains
+            the public key.
+        :type keyfile: bytes
+
+        :return: the loaded key
+        :rtype: AbstractKey
+        """
+
+    def _save_pkcs1_pem(self) -> bytes:
+        """Saves the key in PKCS#1 PEM format, implement in a subclass.
+
+        :returns: the PEM-encoded key.
+        :rtype: bytes
+        """
+
+    def _save_pkcs1_der(self) -> bytes:
+        """Saves the key in PKCS#1 DER format, implement in a subclass.
+
+        :returns: the DER-encoded key.
+        :rtype: bytes
+        """
+
+    @classmethod
+    def load_pkcs1(cls, keyfile: bytes, format: str = 'PEM') -> 'AbstractKey':
+        """Loads a key in PKCS#1 DER or PEM format.
+
+        :param keyfile: contents of a DER- or PEM-encoded file that contains
+            the key.
+        :type keyfile: bytes
+        :param format: the format of the file to load; 'PEM' or 'DER'
+        :type format: str
+
+        :return: the loaded key
+        :rtype: AbstractKey
+        """
+
+        methods = {
+            'PEM': cls._load_pkcs1_pem,
+            'DER': cls._load_pkcs1_der,
+        }
+
+        method = cls._assert_format_exists(format, methods)
+        return method(keyfile)
+
+    @staticmethod
+    def _assert_format_exists(file_format: str, methods: typing.Mapping[str, typing.Callable]) \
+            -> typing.Callable:
+        """Checks whether the given file format exists in 'methods'.
+        """
+
+        try:
+            return methods[file_format]
+        except KeyError:
+            formats = ', '.join(sorted(methods.keys()))
+            raise ValueError('Unsupported format: %r, try one of %s' % (file_format,
+                                                                        formats))
+
+    def save_pkcs1(self, format: str = 'PEM') -> bytes:
+        """Saves the key in PKCS#1 DER or PEM format.
+
+        :param format: the format to save; 'PEM' or 'DER'
+        :type format: str
+        :returns: the DER- or PEM-encoded key.
+        :rtype: bytes
+        """
+
+        methods = {
+            'PEM': self._save_pkcs1_pem,
+            'DER': self._save_pkcs1_der,
+        }
+
+        method = self._assert_format_exists(format, methods)
+        return method()
+
+    def blind(self, message: int, r: int) -> int:
+        """Performs blinding on the message using random number 'r'.
+
+        :param message: the message, as integer, to blind.
+        :type message: int
+        :param r: the random number to blind with.
+        :type r: int
+        :return: the blinded message.
+        :rtype: int
+
+        The blinding is such that message = unblind(decrypt(blind(encrypt(message))).
+
+        See https://en.wikipedia.org/wiki/Blinding_%28cryptography%29
+        """
+
+        return (message * pow(r, self.e, self.n)) % self.n
+
+    def unblind(self, blinded: int, r: int) -> int:
+        """Performs blinding on the message using random number 'r'.
+
+        :param blinded: the blinded message, as integer, to unblind.
+        :param r: the random number to unblind with.
+        :return: the original message.
+
+        The blinding is such that message = unblind(decrypt(blind(encrypt(message))).
+
+        See https://en.wikipedia.org/wiki/Blinding_%28cryptography%29
+        """
+
+        return (rsa.common.inverse(r, self.n) * blinded) % self.n
+
+
+class PublicKey(AbstractKey):
+    """Represents a public RSA key.
+
+    This key is also known as the 'encryption key'. It contains the 'n' and 'e'
+    values.
+
+    Supports attributes as well as dictionary-like access. Attribute access is
+    faster, though.
+
+    >>> PublicKey(5, 3)
+    PublicKey(5, 3)
+
+    >>> key = PublicKey(5, 3)
+    >>> key.n
+    5
+    >>> key['n']
+    5
+    >>> key.e
+    3
+    >>> key['e']
+    3
+
+    """
+
+    __slots__ = ('n', 'e')
+
+    def __getitem__(self, key: str) -> int:
+        return getattr(self, key)
+
+    def __repr__(self) -> str:
+        return 'PublicKey(%i, %i)' % (self.n, self.e)
+
+    def __getstate__(self) -> typing.Tuple[int, int]:
+        """Returns the key as tuple for pickling."""
+        return self.n, self.e
+
+    def __setstate__(self, state: typing.Tuple[int, int]) -> None:
+        """Sets the key from tuple."""
+        self.n, self.e = state
+
+    def __eq__(self, other: typing.Any) -> bool:
+        if other is None:
+            return False
+
+        if not isinstance(other, PublicKey):
+            return False
+
+        return self.n == other.n and self.e == other.e
+
+    def __ne__(self, other: typing.Any) -> bool:
+        return not (self == other)
+
+    def __hash__(self) -> int:
+        return hash((self.n, self.e))
+
+    @classmethod
+    def _load_pkcs1_der(cls, keyfile: bytes) -> 'PublicKey':
+        """Loads a key in PKCS#1 DER format.
+
+        :param keyfile: contents of a DER-encoded file that contains the public
+            key.
+        :return: a PublicKey object
+
+        First let's construct a DER encoded key:
+
+        >>> import base64
+        >>> b64der = 'MAwCBQCNGmYtAgMBAAE='
+        >>> der = base64.standard_b64decode(b64der)
+
+        This loads the file:
+
+        >>> PublicKey._load_pkcs1_der(der)
+        PublicKey(2367317549, 65537)
+
+        """
+
+        from pyasn1.codec.der import decoder
+        from rsa.asn1 import AsnPubKey
+
+        (priv, _) = decoder.decode(keyfile, asn1Spec=AsnPubKey())
+        return cls(n=int(priv['modulus']), e=int(priv['publicExponent']))
+
+    def _save_pkcs1_der(self) -> bytes:
+        """Saves the public key in PKCS#1 DER format.
+
+        :returns: the DER-encoded public key.
+        :rtype: bytes
+        """
+
+        from pyasn1.codec.der import encoder
+        from rsa.asn1 import AsnPubKey
+
+        # Create the ASN object
+        asn_key = AsnPubKey()
+        asn_key.setComponentByName('modulus', self.n)
+        asn_key.setComponentByName('publicExponent', self.e)
+
+        return encoder.encode(asn_key)
+
+    @classmethod
+    def _load_pkcs1_pem(cls, keyfile: bytes) -> 'PublicKey':
+        """Loads a PKCS#1 PEM-encoded public key file.
+
+        The contents of the file before the "-----BEGIN RSA PUBLIC KEY-----" and
+        after the "-----END RSA PUBLIC KEY-----" lines is ignored.
+
+        :param keyfile: contents of a PEM-encoded file that contains the public
+            key.
+        :return: a PublicKey object
+        """
+
+        der = rsa.pem.load_pem(keyfile, 'RSA PUBLIC KEY')
+        return cls._load_pkcs1_der(der)
+
+    def _save_pkcs1_pem(self) -> bytes:
+        """Saves a PKCS#1 PEM-encoded public key file.
+
+        :return: contents of a PEM-encoded file that contains the public key.
+        :rtype: bytes
+        """
+
+        der = self._save_pkcs1_der()
+        return rsa.pem.save_pem(der, 'RSA PUBLIC KEY')
+
+    @classmethod
+    def load_pkcs1_openssl_pem(cls, keyfile: bytes) -> 'PublicKey':
+        """Loads a PKCS#1.5 PEM-encoded public key file from OpenSSL.
+
+        These files can be recognised in that they start with BEGIN PUBLIC KEY
+        rather than BEGIN RSA PUBLIC KEY.
+
+        The contents of the file before the "-----BEGIN PUBLIC KEY-----" and
+        after the "-----END PUBLIC KEY-----" lines is ignored.
+
+        :param keyfile: contents of a PEM-encoded file that contains the public
+            key, from OpenSSL.
+        :type keyfile: bytes
+        :return: a PublicKey object
+        """
+
+        der = rsa.pem.load_pem(keyfile, 'PUBLIC KEY')
+        return cls.load_pkcs1_openssl_der(der)
+
+    @classmethod
+    def load_pkcs1_openssl_der(cls, keyfile: bytes) -> 'PublicKey':
+        """Loads a PKCS#1 DER-encoded public key file from OpenSSL.
+
+        :param keyfile: contents of a DER-encoded file that contains the public
+            key, from OpenSSL.
+        :return: a PublicKey object
+        """
+
+        from rsa.asn1 import OpenSSLPubKey
+        from pyasn1.codec.der import decoder
+        from pyasn1.type import univ
+
+        (keyinfo, _) = decoder.decode(keyfile, asn1Spec=OpenSSLPubKey())
+
+        if keyinfo['header']['oid'] != univ.ObjectIdentifier('1.2.840.113549.1.1.1'):
+            raise TypeError("This is not a DER-encoded OpenSSL-compatible public key")
+
+        return cls._load_pkcs1_der(keyinfo['key'][1:])
+
+
+class PrivateKey(AbstractKey):
+    """Represents a private RSA key.
+
+    This key is also known as the 'decryption key'. It contains the 'n', 'e',
+    'd', 'p', 'q' and other values.
+
+    Supports attributes as well as dictionary-like access. Attribute access is
+    faster, though.
+
+    >>> PrivateKey(3247, 65537, 833, 191, 17)
+    PrivateKey(3247, 65537, 833, 191, 17)
+
+    exp1, exp2 and coef will be calculated:
+
+    >>> pk = PrivateKey(3727264081, 65537, 3349121513, 65063, 57287)
+    >>> pk.exp1
+    55063
+    >>> pk.exp2
+    10095
+    >>> pk.coef
+    50797
+
+    """
+
+    __slots__ = ('n', 'e', 'd', 'p', 'q', 'exp1', 'exp2', 'coef')
+
+    def __init__(self, n: int, e: int, d: int, p: int, q: int) -> None:
+        AbstractKey.__init__(self, n, e)
+        self.d = d
+        self.p = p
+        self.q = q
+
+        # Calculate exponents and coefficient.
+        self.exp1 = int(d % (p - 1))
+        self.exp2 = int(d % (q - 1))
+        self.coef = rsa.common.inverse(q, p)
+
+    def __getitem__(self, key: str) -> int:
+        return getattr(self, key)
+
+    def __repr__(self) -> str:
+        return 'PrivateKey(%i, %i, %i, %i, %i)' % (self.n, self.e, self.d, self.p, self.q)
+
+    def __getstate__(self) -> typing.Tuple[int, int, int, int, int, int, int, int]:
+        """Returns the key as tuple for pickling."""
+        return self.n, self.e, self.d, self.p, self.q, self.exp1, self.exp2, self.coef
+
+    def __setstate__(self, state: typing.Tuple[int, int, int, int, int, int, int, int]) -> None:
+        """Sets the key from tuple."""
+        self.n, self.e, self.d, self.p, self.q, self.exp1, self.exp2, self.coef = state
+
+    def __eq__(self, other: typing.Any) -> bool:
+        if other is None:
+            return False
+
+        if not isinstance(other, PrivateKey):
+            return False
+
+        return (self.n == other.n and
+                self.e == other.e and
+                self.d == other.d and
+                self.p == other.p and
+                self.q == other.q and
+                self.exp1 == other.exp1 and
+                self.exp2 == other.exp2 and
+                self.coef == other.coef)
+
+    def __ne__(self, other: typing.Any) -> bool:
+        return not (self == other)
+
+    def __hash__(self) -> int:
+        return hash((self.n, self.e, self.d, self.p, self.q, self.exp1, self.exp2, self.coef))
+
+    def _get_blinding_factor(self) -> int:
+        for _ in range(1000):
+            blind_r = rsa.randnum.randint(self.n - 1)
+            if rsa.prime.are_relatively_prime(self.n, blind_r):
+                return blind_r
+        raise RuntimeError('unable to find blinding factor')
+
+    def blinded_decrypt(self, encrypted: int) -> int:
+        """Decrypts the message using blinding to prevent side-channel attacks.
+
+        :param encrypted: the encrypted message
+        :type encrypted: int
+
+        :returns: the decrypted message
+        :rtype: int
+        """
+
+        blind_r = self._get_blinding_factor()
+        blinded = self.blind(encrypted, blind_r)  # blind before decrypting
+        decrypted = rsa.core.decrypt_int(blinded, self.d, self.n)
+
+        return self.unblind(decrypted, blind_r)
+
+    def blinded_encrypt(self, message: int) -> int:
+        """Encrypts the message using blinding to prevent side-channel attacks.
+
+        :param message: the message to encrypt
+        :type message: int
+
+        :returns: the encrypted message
+        :rtype: int
+        """
+
+        blind_r = self._get_blinding_factor()
+        blinded = self.blind(message, blind_r)  # blind before encrypting
+        encrypted = rsa.core.encrypt_int(blinded, self.d, self.n)
+        return self.unblind(encrypted, blind_r)
+
+    @classmethod
+    def _load_pkcs1_der(cls, keyfile: bytes) -> 'PrivateKey':
+        """Loads a key in PKCS#1 DER format.
+
+        :param keyfile: contents of a DER-encoded file that contains the private
+            key.
+        :type keyfile: bytes
+        :return: a PrivateKey object
+
+        First let's construct a DER encoded key:
+
+        >>> import base64
+        >>> b64der = 'MC4CAQACBQDeKYlRAgMBAAECBQDHn4npAgMA/icCAwDfxwIDANcXAgInbwIDAMZt'
+        >>> der = base64.standard_b64decode(b64der)
+
+        This loads the file:
+
+        >>> PrivateKey._load_pkcs1_der(der)
+        PrivateKey(3727264081, 65537, 3349121513, 65063, 57287)
+
+        """
+
+        from pyasn1.codec.der import decoder
+        (priv, _) = decoder.decode(keyfile)
+
+        # ASN.1 contents of DER encoded private key:
+        #
+        # RSAPrivateKey ::= SEQUENCE {
+        #     version           Version,
+        #     modulus           INTEGER,  -- n
+        #     publicExponent    INTEGER,  -- e
+        #     privateExponent   INTEGER,  -- d
+        #     prime1            INTEGER,  -- p
+        #     prime2            INTEGER,  -- q
+        #     exponent1         INTEGER,  -- d mod (p-1)
+        #     exponent2         INTEGER,  -- d mod (q-1)
+        #     coefficient       INTEGER,  -- (inverse of q) mod p
+        #     otherPrimeInfos   OtherPrimeInfos OPTIONAL
+        # }
+
+        if priv[0] != 0:
+            raise ValueError('Unable to read this file, version %s != 0' % priv[0])
+
+        as_ints = map(int, priv[1:6])
+        key = cls(*as_ints)
+
+        exp1, exp2, coef = map(int, priv[6:9])
+
+        if (key.exp1, key.exp2, key.coef) != (exp1, exp2, coef):
+            warnings.warn(
+                'You have provided a malformed keyfile. Either the exponents '
+                'or the coefficient are incorrect. Using the correct values '
+                'instead.',
+                UserWarning,
+            )
+
+        return key
+
+    def _save_pkcs1_der(self) -> bytes:
+        """Saves the private key in PKCS#1 DER format.
+
+        :returns: the DER-encoded private key.
+        :rtype: bytes
+        """
+
+        from pyasn1.type import univ, namedtype
+        from pyasn1.codec.der import encoder
+
+        class AsnPrivKey(univ.Sequence):
+            componentType = namedtype.NamedTypes(
+                namedtype.NamedType('version', univ.Integer()),
+                namedtype.NamedType('modulus', univ.Integer()),
+                namedtype.NamedType('publicExponent', univ.Integer()),
+                namedtype.NamedType('privateExponent', univ.Integer()),
+                namedtype.NamedType('prime1', univ.Integer()),
+                namedtype.NamedType('prime2', univ.Integer()),
+                namedtype.NamedType('exponent1', univ.Integer()),
+                namedtype.NamedType('exponent2', univ.Integer()),
+                namedtype.NamedType('coefficient', univ.Integer()),
+            )
+
+        # Create the ASN object
+        asn_key = AsnPrivKey()
+        asn_key.setComponentByName('version', 0)
+        asn_key.setComponentByName('modulus', self.n)
+        asn_key.setComponentByName('publicExponent', self.e)
+        asn_key.setComponentByName('privateExponent', self.d)
+        asn_key.setComponentByName('prime1', self.p)
+        asn_key.setComponentByName('prime2', self.q)
+        asn_key.setComponentByName('exponent1', self.exp1)
+        asn_key.setComponentByName('exponent2', self.exp2)
+        asn_key.setComponentByName('coefficient', self.coef)
+
+        return encoder.encode(asn_key)
+
+    @classmethod
+    def _load_pkcs1_pem(cls, keyfile: bytes) -> 'PrivateKey':
+        """Loads a PKCS#1 PEM-encoded private key file.
+
+        The contents of the file before the "-----BEGIN RSA PRIVATE KEY-----" and
+        after the "-----END RSA PRIVATE KEY-----" lines is ignored.
+
+        :param keyfile: contents of a PEM-encoded file that contains the private
+            key.
+        :type keyfile: bytes
+        :return: a PrivateKey object
+        """
+
+        der = rsa.pem.load_pem(keyfile, b'RSA PRIVATE KEY')
+        return cls._load_pkcs1_der(der)
+
+    def _save_pkcs1_pem(self) -> bytes:
+        """Saves a PKCS#1 PEM-encoded private key file.
+
+        :return: contents of a PEM-encoded file that contains the private key.
+        :rtype: bytes
+        """
+
+        der = self._save_pkcs1_der()
+        return rsa.pem.save_pem(der, b'RSA PRIVATE KEY')
+
+
+def find_p_q(nbits: int,
+             getprime_func: typing.Callable[[int], int] = rsa.prime.getprime,
+             accurate: bool = True) -> typing.Tuple[int, int]:
+    """Returns a tuple of two different primes of nbits bits each.
+
+    The resulting p * q has exacty 2 * nbits bits, and the returned p and q
+    will not be equal.
+
+    :param nbits: the number of bits in each of p and q.
+    :param getprime_func: the getprime function, defaults to
+        :py:func:`rsa.prime.getprime`.
+
+        *Introduced in Python-RSA 3.1*
+
+    :param accurate: whether to enable accurate mode or not.
+    :returns: (p, q), where p > q
+
+    >>> (p, q) = find_p_q(128)
+    >>> from rsa import common
+    >>> common.bit_size(p * q)
+    256
+
+    When not in accurate mode, the number of bits can be slightly less
+
+    >>> (p, q) = find_p_q(128, accurate=False)
+    >>> from rsa import common
+    >>> common.bit_size(p * q) <= 256
+    True
+    >>> common.bit_size(p * q) > 240
+    True
+
+    """
+
+    total_bits = nbits * 2
+
+    # Make sure that p and q aren't too close or the factoring programs can
+    # factor n.
+    shift = nbits // 16
+    pbits = nbits + shift
+    qbits = nbits - shift
+
+    # Choose the two initial primes
+    log.debug('find_p_q(%i): Finding p', nbits)
+    p = getprime_func(pbits)
+    log.debug('find_p_q(%i): Finding q', nbits)
+    q = getprime_func(qbits)
+
+    def is_acceptable(p: int, q: int) -> bool:
+        """Returns True iff p and q are acceptable:
+
+            - p and q differ
+            - (p * q) has the right nr of bits (when accurate=True)
+        """
+
+        if p == q:
+            return False
+
+        if not accurate:
+            return True
+
+        # Make sure we have just the right amount of bits
+        found_size = rsa.common.bit_size(p * q)
+        return total_bits == found_size
+
+    # Keep choosing other primes until they match our requirements.
+    change_p = False
+    while not is_acceptable(p, q):
+        # Change p on one iteration and q on the other
+        if change_p:
+            p = getprime_func(pbits)
+        else:
+            q = getprime_func(qbits)
+
+        change_p = not change_p
+
+    # We want p > q as described on
+    # http://www.di-mgt.com.au/rsa_alg.html#crt
+    return max(p, q), min(p, q)
+
+
+def calculate_keys_custom_exponent(p: int, q: int, exponent: int) -> typing.Tuple[int, int]:
+    """Calculates an encryption and a decryption key given p, q and an exponent,
+    and returns them as a tuple (e, d)
+
+    :param p: the first large prime
+    :param q: the second large prime
+    :param exponent: the exponent for the key; only change this if you know
+        what you're doing, as the exponent influences how difficult your
+        private key can be cracked. A very common choice for e is 65537.
+    :type exponent: int
+
+    """
+
+    phi_n = (p - 1) * (q - 1)
+
+    try:
+        d = rsa.common.inverse(exponent, phi_n)
+    except rsa.common.NotRelativePrimeError as ex:
+        raise rsa.common.NotRelativePrimeError(
+            exponent, phi_n, ex.d,
+            msg="e (%d) and phi_n (%d) are not relatively prime (divider=%i)" %
+                (exponent, phi_n, ex.d))
+
+    if (exponent * d) % phi_n != 1:
+        raise ValueError("e (%d) and d (%d) are not mult. inv. modulo "
+                         "phi_n (%d)" % (exponent, d, phi_n))
+
+    return exponent, d
+
+
+def calculate_keys(p: int, q: int) -> typing.Tuple[int, int]:
+    """Calculates an encryption and a decryption key given p and q, and
+    returns them as a tuple (e, d)
+
+    :param p: the first large prime
+    :param q: the second large prime
+
+    :return: tuple (e, d) with the encryption and decryption exponents.
+    """
+
+    return calculate_keys_custom_exponent(p, q, DEFAULT_EXPONENT)
+
+
+def gen_keys(nbits: int,
+             getprime_func: typing.Callable[[int], int],
+             accurate: bool = True,
+             exponent: int = DEFAULT_EXPONENT) -> typing.Tuple[int, int, int, int]:
+    """Generate RSA keys of nbits bits. Returns (p, q, e, d).
+
+    Note: this can take a long time, depending on the key size.
+
+    :param nbits: the total number of bits in ``p`` and ``q``. Both ``p`` and
+        ``q`` will use ``nbits/2`` bits.
+    :param getprime_func: either :py:func:`rsa.prime.getprime` or a function
+        with similar signature.
+    :param exponent: the exponent for the key; only change this if you know
+        what you're doing, as the exponent influences how difficult your
+        private key can be cracked. A very common choice for e is 65537.
+    :type exponent: int
+    """
+
+    # Regenerate p and q values, until calculate_keys doesn't raise a
+    # ValueError.
+    while True:
+        (p, q) = find_p_q(nbits // 2, getprime_func, accurate)
+        try:
+            (e, d) = calculate_keys_custom_exponent(p, q, exponent=exponent)
+            break
+        except ValueError:
+            pass
+
+    return p, q, e, d
+
+
+def newkeys(nbits: int,
+            accurate: bool = True,
+            poolsize: int = 1,
+            exponent: int = DEFAULT_EXPONENT) -> typing.Tuple[PublicKey, PrivateKey]:
+    """Generates public and private keys, and returns them as (pub, priv).
+
+    The public key is also known as the 'encryption key', and is a
+    :py:class:`rsa.PublicKey` object. The private key is also known as the
+    'decryption key' and is a :py:class:`rsa.PrivateKey` object.
+
+    :param nbits: the number of bits required to store ``n = p*q``.
+    :param accurate: when True, ``n`` will have exactly the number of bits you
+        asked for. However, this makes key generation much slower. When False,
+        `n`` may have slightly less bits.
+    :param poolsize: the number of processes to use to generate the prime
+        numbers. If set to a number > 1, a parallel algorithm will be used.
+        This requires Python 2.6 or newer.
+    :param exponent: the exponent for the key; only change this if you know
+        what you're doing, as the exponent influences how difficult your
+        private key can be cracked. A very common choice for e is 65537.
+    :type exponent: int
+
+    :returns: a tuple (:py:class:`rsa.PublicKey`, :py:class:`rsa.PrivateKey`)
+
+    The ``poolsize`` parameter was added in *Python-RSA 3.1* and requires
+    Python 2.6 or newer.
+
+    """
+
+    if nbits < 16:
+        raise ValueError('Key too small')
+
+    if poolsize < 1:
+        raise ValueError('Pool size (%i) should be >= 1' % poolsize)
+
+    # Determine which getprime function to use
+    if poolsize > 1:
+        from rsa import parallel
+
+        def getprime_func(nbits: int) -> int:
+            return parallel.getprime(nbits, poolsize=poolsize)
+    else:
+        getprime_func = rsa.prime.getprime
+
+    # Generate the key components
+    (p, q, e, d) = gen_keys(nbits, getprime_func, accurate=accurate, exponent=exponent)
+
+    # Create the key objects
+    n = p * q
+
+    return (
+        PublicKey(n, e),
+        PrivateKey(n, e, d, p, q)
+    )
+
+
+__all__ = ['PublicKey', 'PrivateKey', 'newkeys']
+
+if __name__ == '__main__':
+    import doctest
+
+    try:
+        for count in range(100):
+            (failures, tests) = doctest.testmod()
+            if failures:
+                break
+
+            if (count % 10 == 0 and count) or count == 1:
+                print('%i times' % count)
+    except KeyboardInterrupt:
+        print('Aborted')
+    else:
+        print('Doctests done')

venv/Lib/site-packages/rsa/parallel.py

@@ -0,0 +1,97 @@
+#  Copyright 2011 Sybren A. Stüvel <sybren@stuvel.eu>
+#
+#  Licensed under the Apache License, Version 2.0 (the "License");
+#  you may not use this file except in compliance with the License.
+#  You may obtain a copy of the License at
+#
+#      https://www.apache.org/licenses/LICENSE-2.0
+#
+#  Unless required by applicable law or agreed to in writing, software
+#  distributed under the License is distributed on an "AS IS" BASIS,
+#  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+#  See the License for the specific language governing permissions and
+#  limitations under the License.
+
+"""Functions for parallel computation on multiple cores.
+
+Introduced in Python-RSA 3.1.
+
+.. note::
+
+    Requires Python 2.6 or newer.
+
+"""
+
+import multiprocessing as mp
+from multiprocessing.connection import Connection
+
+import rsa.prime
+import rsa.randnum
+
+
+def _find_prime(nbits: int, pipe: Connection) -> None:
+    while True:
+        integer = rsa.randnum.read_random_odd_int(nbits)
+
+        # Test for primeness
+        if rsa.prime.is_prime(integer):
+            pipe.send(integer)
+            return
+
+
+def getprime(nbits: int, poolsize: int) -> int:
+    """Returns a prime number that can be stored in 'nbits' bits.
+
+    Works in multiple threads at the same time.
+
+    >>> p = getprime(128, 3)
+    >>> rsa.prime.is_prime(p-1)
+    False
+    >>> rsa.prime.is_prime(p)
+    True
+    >>> rsa.prime.is_prime(p+1)
+    False
+
+    >>> from rsa import common
+    >>> common.bit_size(p) == 128
+    True
+
+    """
+
+    (pipe_recv, pipe_send) = mp.Pipe(duplex=False)
+
+    # Create processes
+    try:
+        procs = [mp.Process(target=_find_prime, args=(nbits, pipe_send))
+                 for _ in range(poolsize)]
+        # Start processes
+        for p in procs:
+            p.start()
+
+        result = pipe_recv.recv()
+    finally:
+        pipe_recv.close()
+        pipe_send.close()
+
+    # Terminate processes
+    for p in procs:
+        p.terminate()
+
+    return result
+
+
+__all__ = ['getprime']
+
+if __name__ == '__main__':
+    print('Running doctests 1000x or until failure')
+    import doctest
+
+    for count in range(100):
+        (failures, tests) = doctest.testmod()
+        if failures:
+            break
+
+        if count % 10 == 0 and count:
+            print('%i times' % count)
+
+    print('Doctests done')

venv/Lib/site-packages/rsa/pem.py

@@ -0,0 +1,132 @@
+#  Copyright 2011 Sybren A. Stüvel <sybren@stuvel.eu>
+#
+#  Licensed under the Apache License, Version 2.0 (the "License");
+#  you may not use this file except in compliance with the License.
+#  You may obtain a copy of the License at
+#
+#      https://www.apache.org/licenses/LICENSE-2.0
+#
+#  Unless required by applicable law or agreed to in writing, software
+#  distributed under the License is distributed on an "AS IS" BASIS,
+#  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+#  See the License for the specific language governing permissions and
+#  limitations under the License.
+
+"""Functions that load and write PEM-encoded files."""
+
+import base64
+import typing
+
+# Should either be ASCII strings or bytes.
+FlexiText = typing.Union[str, bytes]
+
+
+def _markers(pem_marker: FlexiText) -> typing.Tuple[bytes, bytes]:
+    """
+    Returns the start and end PEM markers, as bytes.
+    """
+
+    if not isinstance(pem_marker, bytes):
+        pem_marker = pem_marker.encode('ascii')
+
+    return (b'-----BEGIN ' + pem_marker + b'-----',
+            b'-----END ' + pem_marker + b'-----')
+
+
+def _pem_lines(contents: bytes, pem_start: bytes, pem_end: bytes) -> typing.Iterator[bytes]:
+    """Generator over PEM lines between pem_start and pem_end."""
+
+    in_pem_part = False
+    seen_pem_start = False
+
+    for line in contents.splitlines():
+        line = line.strip()
+
+        # Skip empty lines
+        if not line:
+            continue
+
+        # Handle start marker
+        if line == pem_start:
+            if in_pem_part:
+                raise ValueError('Seen start marker "%r" twice' % pem_start)
+
+            in_pem_part = True
+            seen_pem_start = True
+            continue
+
+        # Skip stuff before first marker
+        if not in_pem_part:
+            continue
+
+        # Handle end marker
+        if in_pem_part and line == pem_end:
+            in_pem_part = False
+            break
+
+        # Load fields
+        if b':' in line:
+            continue
+
+        yield line
+
+    # Do some sanity checks
+    if not seen_pem_start:
+        raise ValueError('No PEM start marker "%r" found' % pem_start)
+
+    if in_pem_part:
+        raise ValueError('No PEM end marker "%r" found' % pem_end)
+
+
+def load_pem(contents: FlexiText, pem_marker: FlexiText) -> bytes:
+    """Loads a PEM file.
+
+    :param contents: the contents of the file to interpret
+    :param pem_marker: the marker of the PEM content, such as 'RSA PRIVATE KEY'
+        when your file has '-----BEGIN RSA PRIVATE KEY-----' and
+        '-----END RSA PRIVATE KEY-----' markers.
+
+    :return: the base64-decoded content between the start and end markers.
+
+    @raise ValueError: when the content is invalid, for example when the start
+        marker cannot be found.
+
+    """
+
+    # We want bytes, not text. If it's text, it can be converted to ASCII bytes.
+    if not isinstance(contents, bytes):
+        contents = contents.encode('ascii')
+
+    (pem_start, pem_end) = _markers(pem_marker)
+    pem_lines = [line for line in _pem_lines(contents, pem_start, pem_end)]
+
+    # Base64-decode the contents
+    pem = b''.join(pem_lines)
+    return base64.standard_b64decode(pem)
+
+
+def save_pem(contents: bytes, pem_marker: FlexiText) -> bytes:
+    """Saves a PEM file.
+
+    :param contents: the contents to encode in PEM format
+    :param pem_marker: the marker of the PEM content, such as 'RSA PRIVATE KEY'
+        when your file has '-----BEGIN RSA PRIVATE KEY-----' and
+        '-----END RSA PRIVATE KEY-----' markers.
+
+    :return: the base64-encoded content between the start and end markers, as bytes.
+
+    """
+
+    (pem_start, pem_end) = _markers(pem_marker)
+
+    b64 = base64.standard_b64encode(contents).replace(b'\n', b'')
+    pem_lines = [pem_start]
+
+    for block_start in range(0, len(b64), 64):
+        block = b64[block_start:block_start + 64]
+        pem_lines.append(block)
+
+    pem_lines.append(pem_end)
+    pem_lines.append(b'')
+
+    return b'\n'.join(pem_lines)

venv/Lib/site-packages/rsa/pkcs1.py

@@ -0,0 +1,461 @@
+#  Copyright 2011 Sybren A. Stüvel <sybren@stuvel.eu>
+#
+#  Licensed under the Apache License, Version 2.0 (the "License");
+#  you may not use this file except in compliance with the License.
+#  You may obtain a copy of the License at
+#
+#      https://www.apache.org/licenses/LICENSE-2.0
+#
+#  Unless required by applicable law or agreed to in writing, software
+#  distributed under the License is distributed on an "AS IS" BASIS,
+#  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+#  See the License for the specific language governing permissions and
+#  limitations under the License.
+
+"""Functions for PKCS#1 version 1.5 encryption and signing
+
+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.
+"""
+
+import hashlib
+import os
+import sys
+import typing
+
+from . import common, transform, core, key
+
+# ASN.1 codes that describe the hash algorithm used.
+HASH_ASN1 = {
+    'MD5': b'\x30\x20\x30\x0c\x06\x08\x2a\x86\x48\x86\xf7\x0d\x02\x05\x05\x00\x04\x10',
+    'SHA-1': b'\x30\x21\x30\x09\x06\x05\x2b\x0e\x03\x02\x1a\x05\x00\x04\x14',
+    'SHA-224': b'\x30\x2d\x30\x0d\x06\x09\x60\x86\x48\x01\x65\x03\x04\x02\x04\x05\x00\x04\x1c',
+    'SHA-256': b'\x30\x31\x30\x0d\x06\x09\x60\x86\x48\x01\x65\x03\x04\x02\x01\x05\x00\x04\x20',
+    'SHA-384': b'\x30\x41\x30\x0d\x06\x09\x60\x86\x48\x01\x65\x03\x04\x02\x02\x05\x00\x04\x30',
+    'SHA-512': b'\x30\x51\x30\x0d\x06\x09\x60\x86\x48\x01\x65\x03\x04\x02\x03\x05\x00\x04\x40',
+}
+
+HASH_METHODS = {
+    'MD5': hashlib.md5,
+    'SHA-1': hashlib.sha1,
+    'SHA-224': hashlib.sha224,
+    'SHA-256': hashlib.sha256,
+    'SHA-384': hashlib.sha384,
+    'SHA-512': hashlib.sha512,
+}
+
+
+if sys.version_info >= (3, 6):
+    # Python 3.6 introduced SHA3 support.
+    HASH_ASN1.update({
+        'SHA3-256': b'\x30\x31\x30\x0d\x06\x09\x60\x86\x48\x01\x65\x03\x04\x02\x08\x05\x00\x04\x20',
+        'SHA3-384': b'\x30\x41\x30\x0d\x06\x09\x60\x86\x48\x01\x65\x03\x04\x02\x09\x05\x00\x04\x30',
+        'SHA3-512': b'\x30\x51\x30\x0d\x06\x09\x60\x86\x48\x01\x65\x03\x04\x02\x0a\x05\x00\x04\x40',
+    })
+
+    HASH_METHODS.update({
+        'SHA3-256': hashlib.sha3_256,
+        'SHA3-384': hashlib.sha3_384,
+        'SHA3-512': hashlib.sha3_512,
+    })
+
+
+class CryptoError(Exception):
+    """Base class for all exceptions in this module."""
+
+
+class DecryptionError(CryptoError):
+    """Raised when decryption fails."""
+
+
+class VerificationError(CryptoError):
+    """Raised when verification fails."""
+
+
+def _pad_for_encryption(message: bytes, target_length: int) -> bytes:
+    r"""Pads 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'
+
+    """
+
+    max_msglength = target_length - 11
+    msglength = len(message)
+
+    if msglength > max_msglength:
+        raise OverflowError('%i bytes needed for message, but there is only'
+                            ' space for %i' % (msglength, max_msglength))
+
+    # Get random padding
+    padding = b''
+    padding_length = target_length - msglength - 3
+
+    # We remove 0-bytes, so we'll end up with less padding than we've asked for,
+    # so keep adding data until we're at the correct length.
+    while len(padding) < padding_length:
+        needed_bytes = padding_length - len(padding)
+
+        # Always read at least 8 bytes more than we need, and trim off the rest
+        # after removing the 0-bytes. This increases the chance of getting
+        # enough bytes, especially when needed_bytes is small
+        new_padding = os.urandom(needed_bytes + 5)
+        new_padding = new_padding.replace(b'\x00', b'')
+        padding = padding + new_padding[:needed_bytes]
+
+    assert len(padding) == padding_length
+
+    return b''.join([b'\x00\x02',
+                     padding,
+                     b'\x00',
+                     message])
+
+
+def _pad_for_signing(message: bytes, target_length: int) -> bytes:
+    r"""Pads 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'
+
+    """
+
+    max_msglength = target_length - 11
+    msglength = len(message)
+
+    if msglength > max_msglength:
+        raise OverflowError('%i bytes needed for message, but there is only'
+                            ' space for %i' % (msglength, max_msglength))
+
+    padding_length = target_length - msglength - 3
+
+    return b''.join([b'\x00\x01',
+                     padding_length * b'\xff',
+                     b'\x00',
+                     message])
+
+
+def encrypt(message: bytes, pub_key: key.PublicKey) -> bytes:
+    """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
+
+    """
+
+    keylength = common.byte_size(pub_key.n)
+    padded = _pad_for_encryption(message, keylength)
+
+    payload = transform.bytes2int(padded)
+    encrypted = core.encrypt_int(payload, pub_key.e, pub_key.n)
+    block = transform.int2bytes(encrypted, keylength)
+
+    return block
+
+
+def decrypt(crypto: bytes, priv_key: key.PrivateKey) -> bytes:
+    r"""Decrypts 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
+
+    """
+
+    blocksize = common.byte_size(priv_key.n)
+    encrypted = transform.bytes2int(crypto)
+    decrypted = priv_key.blinded_decrypt(encrypted)
+    cleartext = transform.int2bytes(decrypted, blocksize)
+
+    # Detect leading zeroes in the crypto. These are not reflected in the
+    # encrypted value (as leading zeroes do not influence the value of an
+    # integer). This fixes CVE-2020-13757.
+    if len(crypto) > blocksize:
+        raise DecryptionError('Decryption failed')
+
+    # If we can't find the cleartext marker, decryption failed.
+    if cleartext[0:2] != b'\x00\x02':
+        raise DecryptionError('Decryption failed')
+
+    # Find the 00 separator between the padding and the message
+    try:
+        sep_idx = cleartext.index(b'\x00', 2)
+    except ValueError:
+        raise DecryptionError('Decryption failed')
+
+    return cleartext[sep_idx + 1:]
+
+
+def sign_hash(hash_value: bytes, priv_key: key.PrivateKey, hash_method: str) -> bytes:
+    """Signs a precomputed hash with the private key.
+
+    Hashes the message, then signs the hash with the given key. This is known
+    as a "detached signature", because the message itself isn't altered.
+
+    :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.
+    :raise OverflowError: if the private key is too small to contain the
+        requested hash.
+
+    """
+
+    # Get the ASN1 code for this hash method
+    if hash_method not in HASH_ASN1:
+        raise ValueError('Invalid hash method: %s' % hash_method)
+    asn1code = HASH_ASN1[hash_method]
+
+    # Encrypt the hash with the private key
+    cleartext = asn1code + hash_value
+    keylength = common.byte_size(priv_key.n)
+    padded = _pad_for_signing(cleartext, keylength)
+
+    payload = transform.bytes2int(padded)
+    encrypted = priv_key.blinded_encrypt(payload)
+    block = transform.int2bytes(encrypted, keylength)
+
+    return block
+
+
+def sign(message: bytes, priv_key: key.PrivateKey, hash_method: str) -> bytes:
+    """Signs the message with the private key.
+
+    Hashes the message, then signs the hash with the given key. This is known
+    as a "detached signature", because the message itself isn't altered.
+
+    :param message: the message to sign. Can be an 8-bit string or a file-like
+        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.
+    :raise OverflowError: if the private key is too small to contain the
+        requested hash.
+
+    """
+
+    msg_hash = compute_hash(message, hash_method)
+    return sign_hash(msg_hash, priv_key, hash_method)
+
+
+def verify(message: bytes, signature: bytes, pub_key: key.PublicKey) -> str:
+    """Verifies that the signature matches the message.
+
+    The hash method is detected automatically from the signature.
+
+    :param message: the signed message. Can be an 8-bit string or a file-like
+        object. If ``message`` has a ``read()`` method, it is assumed to be a
+        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.
+    :raise VerificationError: when the signature doesn't match the message.
+    :returns: the name of the used hash.
+
+    """
+
+    keylength = common.byte_size(pub_key.n)
+    encrypted = transform.bytes2int(signature)
+    decrypted = core.decrypt_int(encrypted, pub_key.e, pub_key.n)
+    clearsig = transform.int2bytes(decrypted, keylength)
+
+    # Get the hash method
+    method_name = _find_method_hash(clearsig)
+    message_hash = compute_hash(message, method_name)
+
+    # Reconstruct the expected padded hash
+    cleartext = HASH_ASN1[method_name] + message_hash
+    expected = _pad_for_signing(cleartext, keylength)
+
+    if len(signature) != keylength:
+        raise VerificationError('Verification failed')
+
+    # Compare with the signed one
+    if expected != clearsig:
+        raise VerificationError('Verification failed')
+
+    return method_name
+
+
+def find_signature_hash(signature: bytes, pub_key: key.PublicKey) -> str:
+    """Returns the hash name detected from the signature.
+
+    If you also want to verify the message, use :py:func:`rsa.verify()` instead.
+    It also returns the name of the used hash.
+
+    :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.
+    :returns: the name of the used hash.
+    """
+
+    keylength = common.byte_size(pub_key.n)
+    encrypted = transform.bytes2int(signature)
+    decrypted = core.decrypt_int(encrypted, pub_key.e, pub_key.n)
+    clearsig = transform.int2bytes(decrypted, keylength)
+
+    return _find_method_hash(clearsig)
+
+
+def yield_fixedblocks(infile: typing.BinaryIO, blocksize: int) -> typing.Iterator[bytes]:
+    """Generator, yields each block of ``blocksize`` bytes in the input file.
+
+    :param infile: file to read and separate in blocks.
+    :param blocksize: block size in bytes.
+    :returns: a generator that yields the contents of each block
+    """
+
+    while True:
+        block = infile.read(blocksize)
+
+        read_bytes = len(block)
+        if read_bytes == 0:
+            break
+
+        yield block
+
+        if read_bytes < blocksize:
+            break
+
+
+def compute_hash(message: typing.Union[bytes, typing.BinaryIO], method_name: str) -> bytes:
+    """Returns the message digest.
+
+    :param message: the signed message. Can be an 8-bit string or a file-like
+        object. If ``message`` has a ``read()`` method, it is assumed to be a
+        file-like object.
+    :param method_name: the hash method, must be a key of
+        :py:const:`HASH_METHODS`.
+
+    """
+
+    if method_name not in HASH_METHODS:
+        raise ValueError('Invalid hash method: %s' % method_name)
+
+    method = HASH_METHODS[method_name]
+    hasher = method()
+
+    if isinstance(message, bytes):
+        hasher.update(message)
+    else:
+        assert hasattr(message, 'read') and hasattr(message.read, '__call__')
+        # read as 1K blocks
+        for block in yield_fixedblocks(message, 1024):
+            hasher.update(block)
+
+    return hasher.digest()
+
+
+def _find_method_hash(clearsig: bytes) -> str:
+    """Finds the hash method.
+
+    :param clearsig: full padded ASN1 and hash.
+    :return: the used hash method.
+    :raise VerificationFailed: when the hash method cannot be found
+    """
+
+    for (hashname, asn1code) in HASH_ASN1.items():
+        if asn1code in clearsig:
+            return hashname
+
+    raise VerificationError('Verification failed')
+
+
+__all__ = ['encrypt', 'decrypt', 'sign', 'verify',
+           'DecryptionError', 'VerificationError', 'CryptoError']
+
+if __name__ == '__main__':
+    print('Running doctests 1000x or until failure')
+    import doctest
+
+    for count in range(1000):
+        (failures, tests) = doctest.testmod()
+        if failures:
+            break
+
+        if count % 100 == 0 and count:
+            print('%i times' % count)
+
+    print('Doctests done')

venv/Lib/site-packages/rsa/pkcs1_v2.py

@@ -0,0 +1,100 @@
+#  Copyright 2011 Sybren A. Stüvel <sybren@stuvel.eu>
+#
+#  Licensed under the Apache License, Version 2.0 (the "License");
+#  you may not use this file except in compliance with the License.
+#  You may obtain a copy of the License at
+#
+#      https://www.apache.org/licenses/LICENSE-2.0
+#
+#  Unless required by applicable law or agreed to in writing, software
+#  distributed under the License is distributed on an "AS IS" BASIS,
+#  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+#  See the License for the specific language governing permissions and
+#  limitations under the License.
+
+"""Functions for PKCS#1 version 2 encryption and signing
+
+This module implements certain functionality from PKCS#1 version 2. Main
+documentation is RFC 2437: https://tools.ietf.org/html/rfc2437
+"""
+
+from rsa import (
+    common,
+    pkcs1,
+    transform,
+)
+
+
+def mgf1(seed: bytes, length: int, hasher: str = 'SHA-1') -> bytes:
+    """
+    MGF1 is a Mask Generation Function based on a hash function.
+
+    A mask generation function takes an octet string of variable length and a
+    desired output length as input, and outputs an octet string of the desired
+    length. The plaintext-awareness of RSAES-OAEP relies on the random nature of
+    the output of the mask generation function, which in turn relies on the
+    random nature of the underlying hash.
+
+    :param bytes seed: seed from which mask is generated, an octet string
+    :param int length: intended length in octets of the mask, at most 2^32(hLen)
+    :param str hasher: hash function (hLen denotes the length in octets of the hash
+        function output)
+
+    :return: mask, an octet string of length `length`
+    :rtype: bytes
+
+    :raise OverflowError: when `length` is too large for the specified `hasher`
+    :raise ValueError: when specified `hasher` is invalid
+    """
+
+    try:
+        hash_length = pkcs1.HASH_METHODS[hasher]().digest_size
+    except KeyError:
+        raise ValueError(
+            'Invalid `hasher` specified. Please select one of: {hash_list}'.format(
+                hash_list=', '.join(sorted(pkcs1.HASH_METHODS.keys()))
+            )
+        )
+
+    # If l > 2^32(hLen), output "mask too long" and stop.
+    if length > (2**32 * hash_length):
+        raise OverflowError(
+            "Desired length should be at most 2**32 times the hasher's output "
+            "length ({hash_length} for {hasher} function)".format(
+                hash_length=hash_length,
+                hasher=hasher,
+            )
+        )
+
+    # Looping `counter` from 0 to ceil(l / hLen)-1, build `output` based on the
+    # hashes formed by (`seed` + C), being `C` an octet string of length 4
+    # generated by converting `counter` with the primitive I2OSP
+    output = b''.join(
+        pkcs1.compute_hash(
+            seed + transform.int2bytes(counter, fill_size=4),
+            method_name=hasher,
+        )
+        for counter in range(common.ceil_div(length, hash_length) + 1)
+    )
+
+    # Output the leading `length` octets of `output` as the octet string mask.
+    return output[:length]
+
+
+__all__ = [
+    'mgf1',
+]
+
+if __name__ == '__main__':
+    print('Running doctests 1000x or until failure')
+    import doctest
+
+    for count in range(1000):
+        (failures, tests) = doctest.testmod()
+        if failures:
+            break
+
+        if count % 100 == 0 and count:
+            print('%i times' % count)
+
+    print('Doctests done')

venv/Lib/site-packages/rsa/prime.py

@@ -0,0 +1,198 @@
+#  Copyright 2011 Sybren A. Stüvel <sybren@stuvel.eu>
+#
+#  Licensed under the Apache License, Version 2.0 (the "License");
+#  you may not use this file except in compliance with the License.
+#  You may obtain a copy of the License at
+#
+#      https://www.apache.org/licenses/LICENSE-2.0
+#
+#  Unless required by applicable law or agreed to in writing, software
+#  distributed under the License is distributed on an "AS IS" BASIS,
+#  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+#  See the License for the specific language governing permissions and
+#  limitations under the License.
+
+"""Numerical functions related to primes.
+
+Implementation based on the book Algorithm Design by Michael T. Goodrich and
+Roberto Tamassia, 2002.
+"""
+
+import rsa.common
+import rsa.randnum
+
+__all__ = ['getprime', 'are_relatively_prime']
+
+
+def gcd(p: int, q: int) -> int:
+    """Returns the greatest common divisor of p and q
+
+    >>> gcd(48, 180)
+    12
+    """
+
+    while q != 0:
+        (p, q) = (q, p % q)
+    return p
+
+
+def get_primality_testing_rounds(number: int) -> int:
+    """Returns minimum number of rounds for Miller-Rabing primality testing,
+    based on number bitsize.
+
+    According to NIST FIPS 186-4, Appendix C, Table C.3, minimum number of
+    rounds of M-R testing, using an error probability of 2 ** (-100), for
+    different p, q bitsizes are:
+      * p, q bitsize: 512; rounds: 7
+      * p, q bitsize: 1024; rounds: 4
+      * p, q bitsize: 1536; rounds: 3
+    See: http://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.186-4.pdf
+    """
+
+    # Calculate number bitsize.
+    bitsize = rsa.common.bit_size(number)
+    # Set number of rounds.
+    if bitsize >= 1536:
+        return 3
+    if bitsize >= 1024:
+        return 4
+    if bitsize >= 512:
+        return 7
+    # For smaller bitsizes, set arbitrary number of rounds.
+    return 10
+
+
+def miller_rabin_primality_testing(n: int, k: int) -> bool:
+    """Calculates whether n is composite (which is always correct) or prime
+    (which theoretically is incorrect with error probability 4**-k), by
+    applying Miller-Rabin primality testing.
+
+    For reference and implementation example, see:
+    https://en.wikipedia.org/wiki/Miller%E2%80%93Rabin_primality_test
+
+    :param n: Integer to be tested for primality.
+    :type n: int
+    :param k: Number of rounds (witnesses) of Miller-Rabin testing.
+    :type k: int
+    :return: False if the number is composite, True if it's probably prime.
+    :rtype: bool
+    """
+
+    # prevent potential infinite loop when d = 0
+    if n < 2:
+        return False
+
+    # Decompose (n - 1) to write it as (2 ** r) * d
+    # While d is even, divide it by 2 and increase the exponent.
+    d = n - 1
+    r = 0
+
+    while not (d & 1):
+        r += 1
+        d >>= 1
+
+    # Test k witnesses.
+    for _ in range(k):
+        # Generate random integer a, where 2 <= a <= (n - 2)
+        a = rsa.randnum.randint(n - 3) + 1
+
+        x = pow(a, d, n)
+        if x == 1 or x == n - 1:
+            continue
+
+        for _ in range(r - 1):
+            x = pow(x, 2, n)
+            if x == 1:
+                # n is composite.
+                return False
+            if x == n - 1:
+                # Exit inner loop and continue with next witness.
+                break
+        else:
+            # If loop doesn't break, n is composite.
+            return False
+
+    return True
+
+
+def is_prime(number: int) -> bool:
+    """Returns True if the number is prime, and False otherwise.
+
+    >>> is_prime(2)
+    True
+    >>> is_prime(42)
+    False
+    >>> is_prime(41)
+    True
+    """
+
+    # Check for small numbers.
+    if number < 10:
+        return number in {2, 3, 5, 7}
+
+    # Check for even numbers.
+    if not (number & 1):
+        return False
+
+    # Calculate minimum number of rounds.
+    k = get_primality_testing_rounds(number)
+
+    # Run primality testing with (minimum + 1) rounds.
+    return miller_rabin_primality_testing(number, k + 1)
+
+
+def getprime(nbits: int) -> int:
+    """Returns a prime number that can be stored in 'nbits' bits.
+
+    >>> p = getprime(128)
+    >>> is_prime(p-1)
+    False
+    >>> is_prime(p)
+    True
+    >>> is_prime(p+1)
+    False
+
+    >>> from rsa import common
+    >>> common.bit_size(p) == 128
+    True
+    """
+
+    assert nbits > 3  # the loop wil hang on too small numbers
+
+    while True:
+        integer = rsa.randnum.read_random_odd_int(nbits)
+
+        # Test for primeness
+        if is_prime(integer):
+            return integer
+
+            # Retry if not prime
+
+
+def are_relatively_prime(a: int, b: int) -> bool:
+    """Returns True if a and b are relatively prime, and False if they
+    are not.
+
+    >>> are_relatively_prime(2, 3)
+    True
+    >>> are_relatively_prime(2, 4)
+    False
+    """
+
+    d = gcd(a, b)
+    return d == 1
+
+
+if __name__ == '__main__':
+    print('Running doctests 1000x or until failure')
+    import doctest
+
+    for count in range(1000):
+        (failures, tests) = doctest.testmod()
+        if failures:
+            break
+
+        if count % 100 == 0 and count:
+            print('%i times' % count)
+
+    print('Doctests done')

venv/Lib/site-packages/rsa/randnum.py

@@ -0,0 +1,96 @@
+#  Copyright 2011 Sybren A. Stüvel <sybren@stuvel.eu>
+#
+#  Licensed under the Apache License, Version 2.0 (the "License");
+#  you may not use this file except in compliance with the License.
+#  You may obtain a copy of the License at
+#
+#      https://www.apache.org/licenses/LICENSE-2.0
+#
+#  Unless required by applicable law or agreed to in writing, software
+#  distributed under the License is distributed on an "AS IS" BASIS,
+#  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+#  See the License for the specific language governing permissions and
+#  limitations under the License.
+
+"""Functions for generating random numbers."""
+
+# Source inspired by code by Yesudeep Mangalapilly <yesudeep@gmail.com>
+
+import os
+import struct
+
+from rsa import common, transform
+
+
+def read_random_bits(nbits: int) -> bytes:
+    """Reads 'nbits' random bits.
+
+    If nbits isn't a whole number of bytes, an extra byte will be appended with
+    only the lower bits set.
+    """
+
+    nbytes, rbits = divmod(nbits, 8)
+
+    # Get the random bytes
+    randomdata = os.urandom(nbytes)
+
+    # Add the remaining random bits
+    if rbits > 0:
+        randomvalue = ord(os.urandom(1))
+        randomvalue >>= (8 - rbits)
+        randomdata = struct.pack("B", randomvalue) + randomdata
+
+    return randomdata
+
+
+def read_random_int(nbits: int) -> int:
+    """Reads a random integer of approximately nbits bits.
+    """
+
+    randomdata = read_random_bits(nbits)
+    value = transform.bytes2int(randomdata)
+
+    # Ensure that the number is large enough to just fill out the required
+    # number of bits.
+    value |= 1 << (nbits - 1)
+
+    return value
+
+
+def read_random_odd_int(nbits: int) -> int:
+    """Reads a random odd integer of approximately nbits bits.
+
+    >>> read_random_odd_int(512) & 1
+    1
+    """
+
+    value = read_random_int(nbits)
+
+    # Make sure it's odd
+    return value | 1
+
+
+def randint(maxvalue: int) -> int:
+    """Returns a random integer x with 1 <= x <= maxvalue
+
+    May take a very long time in specific situations. If maxvalue needs N bits
+    to store, the closer maxvalue is to (2 ** N) - 1, the faster this function
+    is.
+    """
+
+    bit_size = common.bit_size(maxvalue)
+
+    tries = 0
+    while True:
+        value = read_random_int(bit_size)
+        if value <= maxvalue:
+            break
+
+        if tries % 10 == 0 and tries:
+            # After a lot of tries to get the right number of bits but still
+            # smaller than maxvalue, decrease the number of bits by 1. That'll
+            # dramatically increase the chances to get a large enough number.
+            bit_size -= 1
+        tries += 1
+
+    return value

venv/Lib/site-packages/rsa/transform.py

@@ -0,0 +1,72 @@
+#  Copyright 2011 Sybren A. Stüvel <sybren@stuvel.eu>
+#
+#  Licensed under the Apache License, Version 2.0 (the "License");
+#  you may not use this file except in compliance with the License.
+#  You may obtain a copy of the License at
+#
+#      https://www.apache.org/licenses/LICENSE-2.0
+#
+#  Unless required by applicable law or agreed to in writing, software
+#  distributed under the License is distributed on an "AS IS" BASIS,
+#  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+#  See the License for the specific language governing permissions and
+#  limitations under the License.
+
+"""Data transformation functions.
+
+From bytes to a number, number to bytes, etc.
+"""
+
+import math
+
+
+def bytes2int(raw_bytes: bytes) -> int:
+    r"""Converts a list of bytes or an 8-bit string to an integer.
+
+    When using unicode strings, encode it to some encoding like UTF8 first.
+
+    >>> (((128 * 256) + 64) * 256) + 15
+    8405007
+    >>> bytes2int(b'\x80@\x0f')
+    8405007
+
+    """
+    return int.from_bytes(raw_bytes, 'big', signed=False)
+
+
+def int2bytes(number: int, fill_size: int = 0) -> bytes:
+    """
+    Convert an unsigned integer to bytes (big-endian)::
+
+    Does not preserve leading zeros if you don't specify a fill size.
+
+    :param number:
+        Integer value
+    :param fill_size:
+        If the optional fill size is given the length of the resulting
+        byte string is expected to be the fill size and will be padded
+        with prefix zero bytes to satisfy that length.
+    :returns:
+        Raw bytes (base-256 representation).
+    :raises:
+        ``OverflowError`` when fill_size is given and the number takes up more
+        bytes than fit into the block. This requires the ``overflow``
+        argument to this function to be set to ``False`` otherwise, no
+        error will be raised.
+    """
+
+    if number < 0:
+        raise ValueError("Number must be an unsigned integer: %d" % number)
+
+    bytes_required = max(1, math.ceil(number.bit_length() / 8))
+
+    if fill_size > 0:
+        return number.to_bytes(fill_size, 'big')
+
+    return number.to_bytes(bytes_required, 'big')
+
+
+if __name__ == '__main__':
+    import doctest
+
+    doctest.testmod()

venv/Lib/site-packages/rsa/util.py

@@ -0,0 +1,75 @@
+#  Copyright 2011 Sybren A. Stüvel <sybren@stuvel.eu>
+#
+#  Licensed under the Apache License, Version 2.0 (the "License");
+#  you may not use this file except in compliance with the License.
+#  You may obtain a copy of the License at
+#
+#      https://www.apache.org/licenses/LICENSE-2.0
+#
+#  Unless required by applicable law or agreed to in writing, software
+#  distributed under the License is distributed on an "AS IS" BASIS,
+#  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+#  See the License for the specific language governing permissions and
+#  limitations under the License.
+
+"""Utility functions."""
+
+import sys
+from optparse import OptionParser
+
+import rsa.key
+
+
+def private_to_public() -> None:
+    """Reads a private key and outputs the corresponding public key."""
+
+    # Parse the CLI options
+    parser = OptionParser(usage='usage: %prog [options]',
+                          description='Reads a private key and outputs the '
+                                      'corresponding public key. Both private and public keys use '
+                                      'the format described in PKCS#1 v1.5')
+
+    parser.add_option('-i', '--input', dest='infilename', type='string',
+                      help='Input filename. Reads from stdin if not specified')
+    parser.add_option('-o', '--output', dest='outfilename', type='string',
+                      help='Output filename. Writes to stdout of not specified')
+
+    parser.add_option('--inform', dest='inform',
+                      help='key format of input - default PEM',
+                      choices=('PEM', 'DER'), default='PEM')
+
+    parser.add_option('--outform', dest='outform',
+                      help='key format of output - default PEM',
+                      choices=('PEM', 'DER'), default='PEM')
+
+    (cli, cli_args) = parser.parse_args(sys.argv)
+
+    # Read the input data
+    if cli.infilename:
+        print('Reading private key from %s in %s format' %
+              (cli.infilename, cli.inform), file=sys.stderr)
+        with open(cli.infilename, 'rb') as infile:
+            in_data = infile.read()
+    else:
+        print('Reading private key from stdin in %s format' % cli.inform,
+              file=sys.stderr)
+        in_data = sys.stdin.read().encode('ascii')
+
+    assert type(in_data) == bytes, type(in_data)
+
+    # Take the public fields and create a public key
+    priv_key = rsa.key.PrivateKey.load_pkcs1(in_data, cli.inform)
+    pub_key = rsa.key.PublicKey(priv_key.n, priv_key.e)
+
+    # Save to the output file
+    out_data = pub_key.save_pkcs1(cli.outform)
+
+    if cli.outfilename:
+        print('Writing public key to %s in %s format' %
+              (cli.outfilename, cli.outform), file=sys.stderr)
+        with open(cli.outfilename, 'wb') as outfile:
+            outfile.write(out_data)
+    else:
+        print('Writing public key to stdout in %s format' % cli.outform,
+              file=sys.stderr)
+        sys.stdout.write(out_data.decode('ascii'))

venv/Lib/site-packages/rsa/varblock.py

@@ -0,0 +1,179 @@
+# -*- coding: utf-8 -*-
+#
+#  Copyright 2011 Sybren A. Stüvel <sybren@stuvel.eu>
+#
+#  Licensed under the Apache License, Version 2.0 (the "License");
+#  you may not use this file except in compliance with the License.
+#  You may obtain a copy of the License at
+#
+#      https://www.apache.org/licenses/LICENSE-2.0
+#
+#  Unless required by applicable law or agreed to in writing, software
+#  distributed under the License is distributed on an "AS IS" BASIS,
+#  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+#  See the License for the specific language governing permissions and
+#  limitations under the License.
+
+"""VARBLOCK file support
+
+.. deprecated:: 3.4
+
+    The VARBLOCK format is NOT recommended for general use, has been deprecated since
+    Python-RSA 3.4, and will be removed in a future release. It's vulnerable to a
+    number of attacks:
+
+    1. decrypt/encrypt_bigfile() does not implement `Authenticated encryption`_ nor
+       uses MACs to verify messages before decrypting public key encrypted messages.
+
+    2. decrypt/encrypt_bigfile() does not use hybrid encryption (it uses plain RSA)
+       and has no method for chaining, so block reordering is possible.
+
+    See `issue #19 on Github`_ for more information.
+
+.. _Authenticated encryption: https://en.wikipedia.org/wiki/Authenticated_encryption
+.. _issue #19 on Github: https://github.com/sybrenstuvel/python-rsa/issues/13
+
+
+The VARBLOCK file format is as follows, where || denotes byte concatenation:
+
+    FILE := VERSION || BLOCK || BLOCK ...
+
+    BLOCK := LENGTH || DATA
+
+    LENGTH := varint-encoded length of the subsequent data. Varint comes from
+    Google Protobuf, and encodes an integer into a variable number of bytes.
+    Each byte uses the 7 lowest bits to encode the value. The highest bit set
+    to 1 indicates the next byte is also part of the varint. The last byte will
+    have this bit set to 0.
+
+This file format is called the VARBLOCK format, in line with the varint format
+used to denote the block sizes.
+
+"""
+
+import warnings
+
+from rsa._compat import byte, b
+
+ZERO_BYTE = b('\x00')
+VARBLOCK_VERSION = 1
+
+warnings.warn("The 'rsa.varblock' module was deprecated in Python-RSA version "
+              "3.4 due to security issues in the VARBLOCK format. See "
+              "https://github.com/sybrenstuvel/python-rsa/issues/13 for more information.",
+              DeprecationWarning)
+
+
+def read_varint(infile):
+    """Reads a varint from the file.
+
+    When the first byte to be read indicates EOF, (0, 0) is returned. When an
+    EOF occurs when at least one byte has been read, an EOFError exception is
+    raised.
+
+    :param infile: the file-like object to read from. It should have a read()
+        method.
+    :returns: (varint, length), the read varint and the number of read bytes.
+    """
+
+    varint = 0
+    read_bytes = 0
+
+    while True:
+        char = infile.read(1)
+        if len(char) == 0:
+            if read_bytes == 0:
+                return 0, 0
+            raise EOFError('EOF while reading varint, value is %i so far' %
+                           varint)
+
+        byte = ord(char)
+        varint += (byte & 0x7F) << (7 * read_bytes)
+
+        read_bytes += 1
+
+        if not byte & 0x80:
+            return varint, read_bytes
+
+
+def write_varint(outfile, value):
+    """Writes a varint to a file.
+
+    :param outfile: the file-like object to write to. It should have a write()
+        method.
+    :returns: the number of written bytes.
+    """
+
+    # there is a big difference between 'write the value 0' (this case) and
+    # 'there is nothing left to write' (the false-case of the while loop)
+
+    if value == 0:
+        outfile.write(ZERO_BYTE)
+        return 1
+
+    written_bytes = 0
+    while value > 0:
+        to_write = value & 0x7f
+        value >>= 7
+
+        if value > 0:
+            to_write |= 0x80
+
+        outfile.write(byte(to_write))
+        written_bytes += 1
+
+    return written_bytes
+
+
+def yield_varblocks(infile):
+    """Generator, yields each block in the input file.
+
+    :param infile: file to read, is expected to have the VARBLOCK format as
+        described in the module's docstring.
+    @yields the contents of each block.
+    """
+
+    # Check the version number
+    first_char = infile.read(1)
+    if len(first_char) == 0:
+        raise EOFError('Unable to read VARBLOCK version number')
+
+    version = ord(first_char)
+    if version != VARBLOCK_VERSION:
+        raise ValueError('VARBLOCK version %i not supported' % version)
+
+    while True:
+        (block_size, read_bytes) = read_varint(infile)
+
+        # EOF at block boundary, that's fine.
+        if read_bytes == 0 and block_size == 0:
+            break
+
+        block = infile.read(block_size)
+
+        read_size = len(block)
+        if read_size != block_size:
+            raise EOFError('Block size is %i, but could read only %i bytes' %
+                           (block_size, read_size))
+
+        yield block
+
+
+def yield_fixedblocks(infile, blocksize):
+    """Generator, yields each block of ``blocksize`` bytes in the input file.
+
+    :param infile: file to read and separate in blocks.
+    :returns: a generator that yields the contents of each block
+    """
+
+    while True:
+        block = infile.read(blocksize)
+
+        read_bytes = len(block)
+        if read_bytes == 0:
+            break
+
+        yield block
+
+        if read_bytes < blocksize:
+            break