aboutsummaryrefslogtreecommitdiff
path: root/freezed_deps/ecdsa/test_ellipticcurve.py
blob: 924134cecd9b1adccfac574491b4ea9d515afcb5 (plain) (blame)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
import pytest
from six import print_
try:
    import unittest2 as unittest
except ImportError:
    import unittest
from hypothesis import given, settings
import hypothesis.strategies as st
try:
    from hypothesis import HealthCheck
    HC_PRESENT=True
except ImportError:  # pragma: no cover
    HC_PRESENT=False
from .numbertheory import inverse_mod
from .ellipticcurve import CurveFp, INFINITY, Point


HYP_SETTINGS={}
if HC_PRESENT:  # pragma: no branch
    HYP_SETTINGS['suppress_health_check']=[HealthCheck.too_slow]
    HYP_SETTINGS['deadline'] = 5000


# NIST Curve P-192:
p = 6277101735386680763835789423207666416083908700390324961279
r = 6277101735386680763835789423176059013767194773182842284081
# s = 0x3045ae6fc8422f64ed579528d38120eae12196d5
# c = 0x3099d2bbbfcb2538542dcd5fb078b6ef5f3d6fe2c745de65
b = 0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1
Gx = 0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012
Gy = 0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811

c192 = CurveFp(p, -3, b)
p192 = Point(c192, Gx, Gy, r)

c_23 = CurveFp(23, 1, 1)
g_23 = Point(c_23, 13, 7, 7)


HYP_SLOW_SETTINGS=dict(HYP_SETTINGS)
HYP_SLOW_SETTINGS["max_examples"]=10


@settings(**HYP_SLOW_SETTINGS)
@given(st.integers(min_value=1, max_value=r+1))
def test_p192_mult_tests(multiple):
    inv_m = inverse_mod(multiple, r)

    p1 = p192 * multiple
    assert p1 * inv_m == p192
    
    
def add_n_times(point, n):
    ret = INFINITY
    i = 0
    while i <= n:
        yield ret
        ret = ret + point
        i += 1
        

# From X9.62 I.1 (p. 96):
@pytest.mark.parametrize(
    "p, m, check",
    [(g_23, n, exp) for n, exp in enumerate(add_n_times(g_23, 8))],
    ids=["g_23 test with mult {0}".format(i) for i in range(9)])
def test_add_and_mult_equivalence(p, m, check):
    assert p * m == check
    

class TestCurve(unittest.TestCase):

    @classmethod
    def setUpClass(cls):
        cls.c_23 = CurveFp(23, 1, 1)
        
    def test_equality_curves(self):
        self.assertEqual(self.c_23, CurveFp(23, 1, 1))
        
    def test_inequality_curves(self):
        c192 = CurveFp(p, -3, b)
        self.assertNotEqual(self.c_23, c192)

    def test_usability_in_a_hashed_collection_curves(self):
        {self.c_23: None}

    def test_hashability_curves(self):
        hash(self.c_23)

    def test_conflation_curves(self):
        ne1, ne2, ne3 = CurveFp(24, 1, 1), CurveFp(23, 2, 1), CurveFp(23, 1, 2)
        eq1, eq2, eq3 = CurveFp(23, 1, 1), CurveFp(23, 1, 1), self.c_23
        self.assertEqual(len(set((c_23, eq1, eq2, eq3))), 1)
        self.assertEqual(len(set((c_23, ne1, ne2, ne3))), 4)
        self.assertDictEqual({c_23: None}, {eq1: None})
        self.assertTrue(eq2 in {eq3: None})


class TestPoint(unittest.TestCase):

    @classmethod
    def setUpClass(cls):
        cls.c_23 = CurveFp(23, 1, 1)
        cls.g_23 = Point(cls.c_23, 13, 7, 7)
        
        p = 6277101735386680763835789423207666416083908700390324961279
        r = 6277101735386680763835789423176059013767194773182842284081
        # s = 0x3045ae6fc8422f64ed579528d38120eae12196d5
        # c = 0x3099d2bbbfcb2538542dcd5fb078b6ef5f3d6fe2c745de65
        b = 0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1
        Gx = 0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012
        Gy = 0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811
        
        cls.c192 = CurveFp(p, -3, b)
        cls.p192 = Point(cls.c192, Gx, Gy, r)        
           
    def test_p192(self):
        # Checking against some sample computations presented
        # in X9.62:
        d = 651056770906015076056810763456358567190100156695615665659
        Q = d * self.p192
        self.assertEqual(Q.x(), 0x62B12D60690CDCF330BABAB6E69763B471F994DD702D16A5)

        k = 6140507067065001063065065565667405560006161556565665656654
        R = k * self.p192
        self.assertEqual(R.x(), 0x885052380FF147B734C330C43D39B2C4A89F29B0F749FEAD)
        self.assertEqual(R.y(), 0x9CF9FA1CBEFEFB917747A3BB29C072B9289C2547884FD835)

        u1 = 2563697409189434185194736134579731015366492496392189760599
        u2 = 6266643813348617967186477710235785849136406323338782220568
        temp = u1 * self.p192 + u2 * Q
        self.assertEqual(temp.x(), 0x885052380FF147B734C330C43D39B2C4A89F29B0F749FEAD)
        self.assertEqual(temp.y(), 0x9CF9FA1CBEFEFB917747A3BB29C072B9289C2547884FD835)
        
    def test_double_infinity(self):
        p1 = INFINITY
        p3 = p1.double()
        self.assertEqual(p1, p3)
        self.assertEqual(p3.x(), p1.x())
        self.assertEqual(p3.y(), p3.y())        
      
    def test_double(self):
        x1, y1, x3, y3 = (3, 10, 7, 12)
        
        p1 = Point(self.c_23, x1, y1)
        p3 = p1.double()
        self.assertEqual(p3.x(), x3)
        self.assertEqual(p3.y(), y3)
        
    def test_multiply(self):
        x1, y1, m, x3, y3 = (3, 10, 2, 7, 12)
        p1 = Point(self.c_23, x1, y1)
        p3 = p1 * m
        self.assertEqual(p3.x(), x3)
        self.assertEqual(p3.y(), y3)
        
    # Trivial tests from X9.62 B.3:
    def test_add(self):
        """We expect that on curve c, (x1,y1) + (x2, y2 ) = (x3, y3)."""
        
        x1, y1, x2, y2, x3, y3 = (3, 10, 9, 7, 17, 20)
        p1 = Point(self.c_23, x1, y1)
        p2 = Point(self.c_23, x2, y2)
        p3 = p1 + p2
        self.assertEqual(p3.x(), x3)
        self.assertEqual(p3.y(), y3)
            
    def test_add_as_double(self):
        """We expect that on curve c, (x1,y1) + (x2, y2 ) = (x3, y3)."""
        
        x1, y1, x2, y2, x3, y3 = (3, 10, 3, 10, 7, 12)  
        p1 = Point(self.c_23, x1, y1)
        p2 = Point(self.c_23, x2, y2)
        p3 = p1 + p2
        self.assertEqual(p3.x(), x3)
        self.assertEqual(p3.y(), y3)
    
    def test_equality_points(self):
        self.assertEqual(self.g_23, Point(self.c_23, 13, 7, 7))
        
    def test_inequality_points(self):
        c = CurveFp(100, -3, 100)
        p = Point(c, 100, 100, 100)
        self.assertNotEqual(self.g_23, p)
        
    def test_inaquality_points_diff_types(self):
        c = CurveFp(100, -3, 100)        
        self.assertNotEqual(self.g_23, c)