Vehicle-Anti-Theft-Face-Rec.../venv/Lib/site-packages/Crypto/SelfTest/PublicKey/test_ECC.py

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# ===================================================================
#
# Copyright (c) 2015, Legrandin <helderijs@gmail.com>
# All rights reserved.
#
# Redistribution and use in source and binary forms, with or without
# modification, are permitted provided that the following conditions
# are met:
#
# 1. Redistributions of source code must retain the above copyright
# notice, this list of conditions and the following disclaimer.
# 2. Redistributions in binary form must reproduce the above copyright
# notice, this list of conditions and the following disclaimer in
# the documentation and/or other materials provided with the
# distribution.
#
# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
# FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
# COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
# INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
# BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
# LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
# CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
# LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
# ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
# POSSIBILITY OF SUCH DAMAGE.
# ===================================================================
import unittest
import time
from Crypto.SelfTest.st_common import list_test_cases
from Crypto.SelfTest.loader import load_tests
from Crypto.PublicKey import ECC
from Crypto.PublicKey.ECC import EccPoint, _curve, EccKey
class TestEccPoint_NIST(unittest.TestCase):
"""Tests defined in section 4.3 of https://www.nsa.gov/ia/_files/nist-routines.pdf"""
pointS = EccPoint(
0xde2444bebc8d36e682edd27e0f271508617519b3221a8fa0b77cab3989da97c9,
0xc093ae7ff36e5380fc01a5aad1e66659702de80f53cec576b6350b243042a256)
pointT = EccPoint(
0x55a8b00f8da1d44e62f6b3b25316212e39540dc861c89575bb8cf92e35e0986b,
0x5421c3209c2d6c704835d82ac4c3dd90f61a8a52598b9e7ab656e9d8c8b24316)
def test_set(self):
pointW = EccPoint(0, 0)
pointW.set(self.pointS)
self.assertEqual(pointW, self.pointS)
def test_copy(self):
pointW = self.pointS.copy()
self.assertEqual(pointW, self.pointS)
pointW.set(self.pointT)
self.assertEqual(pointW, self.pointT)
self.assertNotEqual(self.pointS, self.pointT)
def test_addition(self):
pointRx = 0x72b13dd4354b6b81745195e98cc5ba6970349191ac476bd4553cf35a545a067e
pointRy = 0x8d585cbb2e1327d75241a8a122d7620dc33b13315aa5c9d46d013011744ac264
pointR = self.pointS + self.pointT
self.assertEqual(pointR.x, pointRx)
self.assertEqual(pointR.y, pointRy)
pai = EccPoint.point_at_infinity()
# S + 0
pointR = self.pointS + pai
self.assertEqual(pointR, self.pointS)
# 0 + S
pointR = pai + self.pointS
self.assertEqual(pointR, self.pointS)
# 0 + 0
pointR = pai + pai
self.assertEqual(pointR, pai)
def test_inplace_addition(self):
pointRx = 0x72b13dd4354b6b81745195e98cc5ba6970349191ac476bd4553cf35a545a067e
pointRy = 0x8d585cbb2e1327d75241a8a122d7620dc33b13315aa5c9d46d013011744ac264
pointR = self.pointS.copy()
pointR += self.pointT
self.assertEqual(pointR.x, pointRx)
self.assertEqual(pointR.y, pointRy)
pai = EccPoint.point_at_infinity()
# S + 0
pointR = self.pointS.copy()
pointR += pai
self.assertEqual(pointR, self.pointS)
# 0 + S
pointR = pai.copy()
pointR += self.pointS
self.assertEqual(pointR, self.pointS)
# 0 + 0
pointR = pai.copy()
pointR += pai
self.assertEqual(pointR, pai)
def test_doubling(self):
pointRx = 0x7669e6901606ee3ba1a8eef1e0024c33df6c22f3b17481b82a860ffcdb6127b0
pointRy = 0xfa878162187a54f6c39f6ee0072f33de389ef3eecd03023de10ca2c1db61d0c7
pointR = self.pointS.copy()
pointR.double()
self.assertEqual(pointR.x, pointRx)
self.assertEqual(pointR.y, pointRy)
# 2*0
pai = self.pointS.point_at_infinity()
pointR = pai.copy()
pointR.double()
self.assertEqual(pointR, pai)
# S + S
pointR = self.pointS.copy()
pointR += pointR
self.assertEqual(pointR.x, pointRx)
self.assertEqual(pointR.y, pointRy)
def test_scalar_multiply(self):
d = 0xc51e4753afdec1e6b6c6a5b992f43f8dd0c7a8933072708b6522468b2ffb06fd
pointRx = 0x51d08d5f2d4278882946d88d83c97d11e62becc3cfc18bedacc89ba34eeca03f
pointRy = 0x75ee68eb8bf626aa5b673ab51f6e744e06f8fcf8a6c0cf3035beca956a7b41d5
pointR = self.pointS * d
self.assertEqual(pointR.x, pointRx)
self.assertEqual(pointR.y, pointRy)
# 0*S
pai = self.pointS.point_at_infinity()
pointR = self.pointS * 0
self.assertEqual(pointR, pai)
# -1*S
self.assertRaises(ValueError, lambda: self.pointS * -1)
def test_joing_scalar_multiply(self):
d = 0xc51e4753afdec1e6b6c6a5b992f43f8dd0c7a8933072708b6522468b2ffb06fd
e = 0xd37f628ece72a462f0145cbefe3f0b355ee8332d37acdd83a358016aea029db7
pointRx = 0xd867b4679221009234939221b8046245efcf58413daacbeff857b8588341f6b8
pointRy = 0xf2504055c03cede12d22720dad69c745106b6607ec7e50dd35d54bd80f615275
pointR = self.pointS * d + self.pointT * e
self.assertEqual(pointR.x, pointRx)
self.assertEqual(pointR.y, pointRy)
class TestEccPoint_PAI(unittest.TestCase):
"""Test vectors from http://point-at-infinity.org/ecc/nisttv"""
pointG = EccPoint(_curve.Gx, _curve.Gy)
tv_pai = load_tests(("Crypto", "SelfTest", "PublicKey", "test_vectors", "ECC"),
"point-at-infinity.org-P256.txt",
"P-256 tests from point-at-infinity.org",
{ "k" : lambda k: int(k),
"x" : lambda x: int(x, 16),
"y" : lambda y: int(y, 16)} )
assert(tv_pai)
for tv in tv_pai:
def new_test(self, scalar=tv.k, x=tv.x, y=tv.y):
result = self.pointG * scalar
self.assertEqual(result.x, x)
self.assertEqual(result.y, y)
setattr(TestEccPoint_PAI, "test_%d" % tv.count, new_test)
class TestEccKey(unittest.TestCase):
def test_private_key(self):
key = EccKey(curve="P-256", d=1)
self.assertEqual(key.d, 1)
self.assertTrue(key.has_private())
self.assertEqual(key.pointQ.x, _curve.Gx)
self.assertEqual(key.pointQ.y, _curve.Gy)
point = EccPoint(_curve.Gx, _curve.Gy)
key = EccKey(curve="P-256", d=1, point=point)
self.assertEqual(key.d, 1)
self.assertTrue(key.has_private())
self.assertEqual(key.pointQ, point)
# Other names
key = EccKey(curve="secp256r1", d=1)
key = EccKey(curve="prime256v1", d=1)
def test_public_key(self):
point = EccPoint(_curve.Gx, _curve.Gy)
key = EccKey(curve="P-256", point=point)
self.assertFalse(key.has_private())
self.assertEqual(key.pointQ, point)
def test_public_key_derived(self):
priv_key = EccKey(curve="P-256", d=3)
pub_key = priv_key.public_key()
self.assertFalse(pub_key.has_private())
self.assertEqual(priv_key.pointQ, pub_key.pointQ)
def test_invalid_curve(self):
self.assertRaises(ValueError, lambda: EccKey(curve="P-257", d=1))
def test_invalid_d(self):
self.assertRaises(ValueError, lambda: EccKey(curve="P-256", d=0))
self.assertRaises(ValueError, lambda: EccKey(curve="P-256", d=_curve.order))
def test_equality(self):
private_key = ECC.construct(d=3, curve="P-256")
private_key2 = ECC.construct(d=3, curve="P-256")
private_key3 = ECC.construct(d=4, curve="P-256")
public_key = private_key.public_key()
public_key2 = private_key2.public_key()
public_key3 = private_key3.public_key()
self.assertEqual(private_key, private_key2)
self.assertNotEqual(private_key, private_key3)
self.assertEqual(public_key, public_key2)
self.assertNotEqual(public_key, public_key3)
self.assertNotEqual(public_key, private_key)
class TestEccModule(unittest.TestCase):
def test_generate(self):
key = ECC.generate(curve="P-256")
self.assertTrue(key.has_private())
self.assertEqual(key.pointQ, EccPoint(_curve.Gx, _curve.Gy) * key.d)
# Other names
ECC.generate(curve="secp256r1")
ECC.generate(curve="prime256v1")
def test_construct(self):
key = ECC.construct(curve="P-256", d=1)
self.assertTrue(key.has_private())
self.assertEqual(key.pointQ, _curve.G)
key = ECC.construct(curve="P-256", point_x=_curve.Gx, point_y=_curve.Gy)
self.assertFalse(key.has_private())
self.assertEqual(key.pointQ, _curve.G)
# Other names
ECC.construct(curve="secp256r1", d=1)
ECC.construct(curve="prime256v1", d=1)
def test_negative_construct(self):
coord = dict(point_x=10, point_y=4)
coordG = dict(point_x=_curve.Gx, point_y=_curve.Gy)
self.assertRaises(ValueError, ECC.construct, curve="P-256", **coord)
self.assertRaises(ValueError, ECC.construct, curve="P-256", d=2, **coordG)
def get_tests(config={}):
tests = []
tests += list_test_cases(TestEccPoint_NIST)
tests += list_test_cases(TestEccPoint_PAI)
tests += list_test_cases(TestEccKey)
tests += list_test_cases(TestEccModule)
return tests
if __name__ == '__main__':
suite = lambda: unittest.TestSuite(get_tests())
unittest.main(defaultTest='suite')