Python cryptography.hazmat.primitives.asymmetric.rsa 模块，RSAPrivateNumbers() 实例源码

def _test_private_jwk(key):
        """
        Attempt to read in the key into a private key object
        """
        keys = json.loads(key.decode())
        public_key_numbers = rsa.RSAPublicNumbers(
            long_from_bytes(keys['keys'][0]['e']),
            long_from_bytes(keys['keys'][0]['n'])
        )
        private_key_numbers = rsa.RSAPrivateNumbers(
            long_from_bytes(keys['keys'][0]['p']),
            long_from_bytes(keys['keys'][0]['q']),
            long_from_bytes(keys['keys'][0]['d']),
            long_from_bytes(keys['keys'][0]['dp']),
            long_from_bytes(keys['keys'][0]['dq']),
            long_from_bytes(keys['keys'][0]['qi']),
            public_key_numbers
        )
        return private_key_numbers.private_key(default_backend())

def fields_from_json(cls, jobj):
        # pylint: disable=invalid-name
        n, e = (cls._decode_param(jobj[x]) for x in ('n', 'e'))
        public_numbers = rsa.RSAPublicNumbers(e=e, n=n)
        if 'd' not in jobj:  # public key
            key = public_numbers.public_key(default_backend())
        else:  # private key
            d = cls._decode_param(jobj['d'])
            if ('p' in jobj or 'q' in jobj or 'dp' in jobj or
                    'dq' in jobj or 'qi' in jobj or 'oth' in jobj):
                # "If the producer includes any of the other private
                # key parameters, then all of the others MUST be
                # present, with the exception of "oth", which MUST
                # only be present when more than two prime factors
                # were used."
                p, q, dp, dq, qi, = all_params = tuple(
                    jobj.get(x) for x in ('p', 'q', 'dp', 'dq', 'qi'))
                if tuple(param for param in all_params if param is None):
                    raise errors.Error(
                        'Some private parameters are missing: {0}'.format(
                            all_params))
                p, q, dp, dq, qi = tuple(
                    cls._decode_param(x) for x in all_params)

                # TODO: check for oth
            else:
                # cryptography>=0.8
                p, q = rsa.rsa_recover_prime_factors(n, e, d)
                dp = rsa.rsa_crt_dmp1(d, p)
                dq = rsa.rsa_crt_dmq1(d, q)
                qi = rsa.rsa_crt_iqmp(p, q)

            key = rsa.RSAPrivateNumbers(
                p, q, d, dp, dq, qi, public_numbers).private_key(
                    default_backend())

        return cls(key=key)

def fields_from_json(cls, jobj):
        # pylint: disable=invalid-name
        n, e = (cls._decode_param(jobj[x]) for x in ('n', 'e'))
        public_numbers = rsa.RSAPublicNumbers(e=e, n=n)
        if 'd' not in jobj:  # public key
            key = public_numbers.public_key(default_backend())
        else:  # private key
            d = cls._decode_param(jobj['d'])
            if ('p' in jobj or 'q' in jobj or 'dp' in jobj or
                    'dq' in jobj or 'qi' in jobj or 'oth' in jobj):
                # "If the producer includes any of the other private
                # key parameters, then all of the others MUST be
                # present, with the exception of "oth", which MUST
                # only be present when more than two prime factors
                # were used."
                p, q, dp, dq, qi, = all_params = tuple(
                    jobj.get(x) for x in ('p', 'q', 'dp', 'dq', 'qi'))
                if tuple(param for param in all_params if param is None):
                    raise errors.Error(
                        'Some private parameters are missing: {0}'.format(
                            all_params))
                p, q, dp, dq, qi = tuple(
                    cls._decode_param(x) for x in all_params)

                # TODO: check for oth
            else:
                # cryptography>=0.8
                p, q = rsa.rsa_recover_prime_factors(n, e, d)
                dp = rsa.rsa_crt_dmp1(d, p)
                dq = rsa.rsa_crt_dmq1(d, q)
                qi = rsa.rsa_crt_iqmp(p, q)

            key = rsa.RSAPrivateNumbers(
                p, q, d, dp, dq, qi, public_numbers).private_key(
                    default_backend())

        return cls(key=key)

def compute_rsa_private_key(cls, p, q, e, n, d):
        """
        Computes RSA private key based on provided RSA semi-primes
            and returns cryptography lib instance.

        @developer: tnanoba

        :param p: int
        :param q: int
        :param e: int
        :param n: int
        :param d: int
        :return: object
        """

        # Computes: d % (p - 1)
        dmp1 = rsa.rsa_crt_dmp1(d, p)

        # Computes: d % (q - 1)
        dmq1 = rsa.rsa_crt_dmq1(d, q)

        # Modular inverse q of p, (q ^ -1 mod p)
        iqmp = rsa.rsa_crt_iqmp(p, q)

        public_numbers = rsa.RSAPublicNumbers(e, n)

        return rsa.RSAPrivateNumbers(p, q, d, dmp1, dmq1, iqmp, public_numbers).private_key(default_backend())

def _fromRSAComponents(cls, n, e, d=None, p=None, q=None, u=None):
        """
        Build a key from RSA numerical components.

        @type n: L{int}
        @param n: The 'n' RSA variable.

        @type e: L{int}
        @param e: The 'e' RSA variable.

        @type d: L{int} or L{None}
        @param d: The 'd' RSA variable (optional for a public key).

        @type p: L{int} or L{None}
        @param p: The 'p' RSA variable (optional for a public key).

        @type q: L{int} or L{None}
        @param q: The 'q' RSA variable (optional for a public key).

        @type u: L{int} or L{None}
        @param u: The 'u' RSA variable. Ignored, as its value is determined by
        p and q.

        @rtype: L{Key}
        @return: An RSA key constructed from the values as given.
        """
        publicNumbers = rsa.RSAPublicNumbers(e=e, n=n)
        if d is None:
            # We have public components.
            keyObject = publicNumbers.public_key(default_backend())
        else:
            privateNumbers = rsa.RSAPrivateNumbers(
                p=p,
                q=q,
                d=d,
                dmp1=rsa.rsa_crt_dmp1(d, p),
                dmq1=rsa.rsa_crt_dmq1(d, q),
                iqmp=rsa.rsa_crt_iqmp(p, q),
                public_numbers=publicNumbers,
            )
            keyObject = privateNumbers.private_key(default_backend())

        return cls(keyObject)