Add RFC 7027 test vectors

Author: shrir

src/ecdsa/test_pyecdsa.py

@@ -1384,6 +1384,57 @@ def test_brainpoolP512r1(self):
                     "2BE6A26680A2", 16))
 
 
+class RFC7027(unittest.TestCase):
+    # https://tools.ietf.org/html/rfc7027#appendix-A
+    def _do(self, curve, generator, dA, x_qA, y_qA, dB, x_qB, y_qB, x_Z, y_Z):
+        qA = dA * generator
+        qB = dB * generator
+        Z = dA * qB
+        self.assertEqual(Point(curve, x_qA, y_qA), qA)
+        self.assertEqual(Point(curve, x_qB, y_qB), qB)
+        self.assertTrue((dA * qB) == (dA * dB * generator) == (dB * dA * generator) == (dB * qA))
+        self.assertEqual(Point(curve, x_Z, y_Z), Z)
+
+    def test_brainpoolP256r1(self):
+        self._do(
+            curve=curve_brainpoolp256r1,
+            generator=BRAINPOOLP256r1.generator,
+            dA=int("81DB1EE100150FF2EA338D708271BE38300CB54241D79950F77B063039804F1D", 16),
+            x_qA=int("44106E913F92BC02A1705D9953A8414DB95E1AAA49E81D9E85F929A8E3100BE5", 16),
+            y_qA=int("8AB4846F11CACCB73CE49CBDD120F5A900A69FD32C272223F789EF10EB089BDC", 16),
+            dB=int("55E40BC41E37E3E2AD25C3C6654511FFA8474A91A0032087593852D3E7D76BD3", 16),
+            x_qB=int("8D2D688C6CF93E1160AD04CC4429117DC2C41825E1E9FCA0ADDD34E6F1B39F7B", 16),
+            y_qB=int("990C57520812BE512641E47034832106BC7D3E8DD0E4C7F1136D7006547CEC6A", 16),
+            x_Z=int("89AFC39D41D3B327814B80940B042590F96556EC91E6AE7939BCE31F3A18BF2B", 16),
+            y_Z=int("49C27868F4ECA2179BFD7D59B1E3BF34C1DBDE61AE12931648F43E59632504DE", 16))
+
+    def test_brainpoolP384r1(self):
+        self._do(
+            curve=curve_brainpoolp384r1,
+            generator=BRAINPOOLP384r1.generator,
+            dA=int("1E20F5E048A5886F1F157C74E91BDE2B98C8B52D58E5003D57053FC4B0BD65D6F15EB5D1EE1610DF870795143627D042", 16),
+            x_qA=int("68B665DD91C195800650CDD363C625F4E742E8134667B767B1B476793588F885AB698C852D4A6E77A252D6380FCAF068", 16),
+            y_qA=int("55BC91A39C9EC01DEE36017B7D673A931236D2F1F5C83942D049E3FA20607493E0D038FF2FD30C2AB67D15C85F7FAA59", 16),
+            dB=int("032640BC6003C59260F7250C3DB58CE647F98E1260ACCE4ACDA3DD869F74E01F8BA5E0324309DB6A9831497ABAC96670", 16),
+            x_qB=int("4D44326F269A597A5B58BBA565DA5556ED7FD9A8A9EB76C25F46DB69D19DC8CE6AD18E404B15738B2086DF37E71D1EB4", 16),
+            y_qB=int("62D692136DE56CBE93BF5FA3188EF58BC8A3A0EC6C1E151A21038A42E9185329B5B275903D192F8D4E1F32FE9CC78C48", 16),
+            x_Z=int("0BD9D3A7EA0B3D519D09D8E48D0785FB744A6B355E6304BC51C229FBBCE239BBADF6403715C35D4FB2A5444F575D4F42", 16),
+            y_Z=int("0DF213417EBE4D8E40A5F76F66C56470C489A3478D146DECF6DF0D94BAE9E598157290F8756066975F1DB34B2324B7BD", 16))
+
+    def test_brainpoolP512r1(self):
+        self._do(
+            curve=curve_brainpoolp512r1,
+            generator=BRAINPOOLP512r1.generator,
+            dA=int("16302FF0DBBB5A8D733DAB7141C1B45ACBC8715939677F6A56850A38BD87BD59B09E80279609FF333EB9D4C061231FB26F92EEB04982A5F1D1764CAD57665422", 16),
+            x_qA=int("0A420517E406AAC0ACDCE90FCD71487718D3B953EFD7FBEC5F7F27E28C6149999397E91E029E06457DB2D3E640668B392C2A7E737A7F0BF04436D11640FD09FD", 16),
+            y_qA=int("72E6882E8DB28AAD36237CD25D580DB23783961C8DC52DFA2EC138AD472A0FCEF3887CF62B623B2A87DE5C588301EA3E5FC269B373B60724F5E82A6AD147FDE7", 16),
+            dB=int("230E18E1BCC88A362FA54E4EA3902009292F7F8033624FD471B5D8ACE49D12CFABBC19963DAB8E2F1EBA00BFFB29E4D72D13F2224562F405CB80503666B25429", 16),
+            x_qB=int("9D45F66DE5D67E2E6DB6E93A59CE0BB48106097FF78A081DE781CDB31FCE8CCBAAEA8DD4320C4119F1E9CD437A2EAB3731FA9668AB268D871DEDA55A5473199F", 16),
+            y_qB=int("2FDC313095BCDD5FB3A91636F07A959C8E86B5636A1E930E8396049CB481961D365CC11453A06C719835475B12CB52FC3C383BCE35E27EF194512B71876285FA", 16),
+            x_Z=int("A7927098655F1F9976FA50A9D566865DC530331846381C87256BAF3226244B76D36403C024D7BBF0AA0803EAFF405D3D24F11A9B5C0BEF679FE1454B21C4CD1F", 16),
+            y_Z=int("7DB71C3DEF63212841C463E881BDCF055523BD368240E6C3143BD8DEF8B3B3223B95E0F53082FF5E412F4222537A43DF1C6D25729DDB51620A832BE6A26680A2", 16))
+
+
 def __main__():
     unittest.main()