Create ec-math-python3.py

written by python3

code/ec-math-python3.py

@@ -0,0 +1,58 @@
+import ecdsa
+import os
+import binascii
+from ecdsa.util import string_to_number, number_to_string
+
+# secp256k1, http://www.oid-info.com/get/1.3.132.0.10
+_p = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F
+_r = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141
+_b = 0x0000000000000000000000000000000000000000000000000000000000000007
+_a = 0x0000000000000000000000000000000000000000000000000000000000000000
+_Gx = 0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798
+_Gy = 0x483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8
+curve_secp256k1 = ecdsa.ellipticcurve.CurveFp(_p, _a, _b)
+generator_secp256k1 = ecdsa.ellipticcurve.Point(curve_secp256k1, _Gx, _Gy, _r)
+oid_secp256k1 = (1, 3, 132, 0, 10)
+SECP256k1 = ecdsa.curves.Curve(
+    "SECP256k1", curve_secp256k1, generator_secp256k1, oid_secp256k1
+)
+ec_order = _r
+
+curve = curve_secp256k1
+generator = generator_secp256k1
+
+
+def random_secret():
+    convert_to_int = lambda array: int(binascii.hexlify(array), 16)
+    
+    # Collect 256 bits of random data from the OS's cryptographically secure random generator
+    byte_array = os.urandom(32)
+    
+    return convert_to_int(byte_array)
+
+
+def get_point_pubkey(point):
+    if point.y() & 1:
+        key = "03" + "%064x" % point.x()
+    else:
+        key = "02" + "%064x" % point.x()
+    return binascii.unhexlify(key)
+
+
+def get_point_pubkey_uncompressed(point):
+    key = "04" + "%064x" % point.x() + "%064x" % point.y()
+    return binascii.unhexlify(key)
+
+# Generate a new private key.
+secret = random_secret()
+print("Secret: ", secret)
+
+# Get the public key point.
+point = secret * generator
+print("EC point: ", point)
+
+print("BTC public key: ", binascii.hexlify(get_point_pubkey(point)))
+
+# Given the point (x, y) we can create the object using:
+point1 = ecdsa.ellipticcurve.Point(curve, point.x(), point.y(), ec_order)
+assert point1 == point