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response = request.post(url,data)
elif method=='PUT':
response = request.put(url,data)
elif method=='DELETE':
response = request.delete(url)
else:
return {'error' : 'No such request method %s' % method}
return response"
666,"def inverse(self, N):
""""""
Returns the modular inverse of an integer with respect to the field
characteristic, P.
Use the Extended Euclidean Algorithm:
ERROR: type should be string, got " https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm"
""""""
if N == 0:
return 0
lm, hm = 1, 0
low, high = N % self.P, self.P
while low > 1:
r = high//low
nm, new = hm - lm * r, high - low * r
lm, low, hm, high = nm, new, lm, low
return lm % self.P"
667,"def is_on_curve(self, point):
""""""
Checks whether a point is on the curve.
Args:
point (AffinePoint): Point to be checked.
Returns:
bool: True if point is on the curve, False otherwise.
""""""
X, Y = point.X, point.Y
return (
pow(Y, 2, self.P) - pow(X, 3, self.P) - self.a * X - self.b
) % self.P == 0"
668,"def generate_private_key(self):
""""""
Generates a private key based on the password.
SHA-256 is a member of the SHA-2 cryptographic hash functions designed by
the NSA. SHA stands for Secure Hash Algorithm. The password is converted
to bytes and hashed with SHA-256. The binary output is converted to a hex
representation.
Args:
data (str): The data to be hashed with SHA-256.
Returns:
bytes: The hexadecimal representation of the hashed binary data.
""""""
random_string = base64.b64encode(os.urandom(4096)).decode('utf-8')
binary_data = bytes(random_string, 'utf-8')
hash_object = hashlib.sha256(binary_data)
message_digest_bin = hash_object.digest()
message_digest_hex = binascii.hexlify(message_digest_bin)
return message_digest_hex"
669,"def generate_public_key(self):
""""""
Generates a public key from the hex-encoded private key using elliptic
curve cryptography. The private key is multiplied by a predetermined point
on the elliptic curve called the generator point, G, resulting in the
corresponding private key. The generator point is always the same for all
Bitcoin users.
Jacobian coordinates are used to represent the elliptic curve point G.
ERROR: type should be string, got " https://en.wikibooks.org/wiki/Cryptography/Prime_Curve/Jacobian_Coordinates"
The exponentiating by squaring (also known by double-and-add) method is
used for the elliptic curve multiplication that results in the public key.
ERROR: type should be string, got " https://en.wikipedia.org/wiki/Exponentiation_by_squaring"
Bitcoin public keys are 65 bytes. The first byte is 0x04, next 32
bytes correspond to the X coordinate, and last 32 bytes correspond
to the Y coordinate. They are typically encoded as 130-length hex
characters.
Args:
private_key (bytes): UTF-8 encoded hexadecimal
Returns:
str: The public key in hexadecimal representation.
""""""
private_key = int(self.private_key, 16)
if private_key >= self.N:
raise Exception('Invalid private key.')
G = JacobianPoint(self.Gx, self.Gy, 1)
public_key = G * private_key
x_hex = '{0:0{1}x}'.format(public_key.X, 64)
y_hex = '{0:0{1}x}'.format(public_key.Y, 64)
return '04' + x_hex + y_hex"
670,"def generate_address(self):
""""""
Creates a Bitcoin address from the public key.