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1 | ### -*- mode: python, coding: utf-8 -*- |
2 | ### | |
3 | ### Testing elliptic curve functionality | |
4 | ### | |
5 | ### (c) 2019 Straylight/Edgeware | |
6 | ### | |
7 | ||
8 | ###----- Licensing notice --------------------------------------------------- | |
9 | ### | |
10 | ### This file is part of the Python interface to Catacomb. | |
11 | ### | |
12 | ### Catacomb/Python is free software: you can redistribute it and/or | |
13 | ### modify it under the terms of the GNU General Public License as | |
14 | ### published by the Free Software Foundation; either version 2 of the | |
15 | ### License, or (at your option) any later version. | |
16 | ### | |
17 | ### Catacomb/Python is distributed in the hope that it will be useful, but | |
18 | ### WITHOUT ANY WARRANTY; without even the implied warranty of | |
19 | ### MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
20 | ### General Public License for more details. | |
21 | ### | |
22 | ### You should have received a copy of the GNU General Public License | |
23 | ### along with Catacomb/Python. If not, write to the Free Software | |
24 | ### Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, | |
25 | ### USA. | |
26 | ||
27 | ###-------------------------------------------------------------------------- | |
28 | ### Imported modules. | |
29 | ||
30 | import catacomb as C | |
31 | import unittest as U | |
32 | import testutils as T | |
33 | ||
34 | k = C.PrimeField(19) | |
35 | E = k.ec(-3, 6) | |
36 | P = E(0) # order 26 | |
37 | ||
38 | kk = C.BinPolyField(0x13) | |
39 | EE = kk.ec(1, 8) | |
40 | PP = EE(8) # order 20 | |
41 | ||
42 | ###-------------------------------------------------------------------------- | |
43 | class TestCurvelessPoints (U.TestCase): | |
44 | """Test handling of points without an explicit curve.""" | |
45 | ||
46 | def test(me): | |
47 | ||
48 | ## Construction. | |
49 | O = C.ECPt(); me.assertFalse(O) | |
50 | P = C.ECPt(12345, 67890); me.assertTrue(P) | |
51 | Q = C.ECPt(23456, 78901); me.assertTrue(Q); me.assertNotEqual(P, Q) | |
52 | R = C.ECPt(O); me.assertFalse(R); me.assertEqual(O, R); me.assertNotEqual(P, R) | |
53 | R = C.ECPt(None); me.assertFalse(R); me.assertEqual(O, R) | |
54 | me.assertEqual(C.ECPt("12345, 67890"), P) | |
55 | me.assertEqual(C.ECPt((12345, 67890)), P) | |
56 | me.assertRaises(TypeError, C.ECPt, ()) | |
57 | me.assertRaises(TypeError, C.ECPt, (1234,)) | |
58 | me.assertRaises(TypeError, C.ECPt, (1, 2, 3, 4)) | |
59 | me.assertRaises(ValueError, C.ECPt, "12345") | |
60 | me.assertRaises(ValueError, C.ECPt, "12345,") | |
61 | me.assertRaises(ValueError, C.ECPt, "12345, xyzzy") | |
62 | me.assertRaises(TypeError, C.ECPt, (1, 2, 3)) | |
63 | me.assertRaises(TypeError, C.ECPt, 1, 2, 3) | |
64 | me.assertRaises(TypeError, C.ECPt, 1234) | |
65 | me.assertRaises(TypeError, C.ECPt, object()) | |
66 | me.assertRaises(TypeError, C.ECPt, 1, None) | |
67 | #me.assertRaises(TypeError, C.ECPt, (1, None)) | |
68 | ||
69 | ## Arithmetic shouldn't work. | |
70 | me.assertRaises(TypeError, T.neg, P) | |
71 | me.assertRaises(TypeError, T.add, P, Q) | |
72 | ||
73 | ## Attributes. We only have raw integer access. | |
74 | me.assertTrue(P.point is P) | |
75 | me.assertEqual(P.ix, 12345) | |
76 | me.assertEqual(P.iy, 67890) | |
77 | me.assertEqual(P.tobuf(), C.bytes("000230390003010932")) | |
78 | me.assertRaises(AttributeError, lambda: P.curve) | |
79 | me.assertRaises(AttributeError, lambda: P.x) | |
80 | me.assertRaises(AttributeError, lambda: P.y) | |
81 | me.assertRaises(AttributeError, lambda: P._x) | |
82 | me.assertRaises(AttributeError, lambda: P._y) | |
83 | me.assertRaises(AttributeError, lambda: P._z) | |
84 | ||
85 | ## Encoding and decoding. | |
86 | P = C.ECPt(254, 291) | |
87 | me.assertEqual(O.tobuf(), C.bytes("0000")) | |
88 | me.assertEqual(C.ECPt(0, 0).tobuf(), C.bytes("000100000100")) | |
89 | me.assertEqual(P.tobuf(), C.bytes("0001fe00020123")) | |
90 | me.assertEqual(C.ECPt.frombuf(C.bytes("0001fe000201233f")), | |
91 | (P, C.bytes("3f"))) | |
92 | me.assertRaises(ValueError, C.ECPt.frombuf, C.bytes("0001fe000201")) | |
93 | ||
94 | ## String conversion and parsing. | |
95 | me.assertEqual(C.ECPt.parse("254, 291)"), (P, ")")) | |
96 | me.assertRaises(ValueError, C.ECPt.parse, "(254, 291") | |
97 | ||
98 | ###-------------------------------------------------------------------------- | |
99 | class TestCurves (T.GenericTestMixin): | |
100 | """Test elliptic curves.""" | |
101 | ||
102 | def test_compare(me): | |
103 | me.assertEqual(E, E) | |
104 | E1 = k.ec(-3, 6) | |
105 | me.assertFalse(E is E1) | |
106 | me.assertEqual(E, E1) | |
107 | me.assertNotEqual(E, EE) | |
108 | me.assertNotEqual(E, []) | |
109 | ||
110 | def _test_curve(me, einfo, checkfail = False): | |
111 | ||
112 | ## Some useful values. | |
113 | E = einfo.curve | |
114 | P = einfo.G | |
115 | O = E() | |
116 | n = einfo.r | |
117 | h = einfo.h | |
118 | k = E.field | |
119 | me.assertTrue(n.primep()); l = C.NicePrimeField(n) | |
120 | ||
121 | ## Check that things are basically sane. | |
122 | me.assertFalse(O) | |
123 | me.assertTrue(P) | |
124 | me.assertTrue(n) | |
125 | nP = n*P; me.assertFalse(nP); me.assertEqual(nP, O) | |
126 | ||
127 | ## Check point construction. | |
128 | me.assertEqual(type(P.ix), C.MP) | |
129 | me.assertEqual(type(P.iy), C.MP) | |
130 | me.assertTrue(isinstance(P.x, C.FE)) | |
131 | me.assertTrue(isinstance(P.y, C.FE)) | |
132 | me.assertTrue(isinstance(P._x, C.FE)) | |
133 | me.assertTrue(isinstance(P._y, C.FE)) | |
134 | if isinstance(E, C.ECPrimeProjCurve) or isinstance(E, C.ECBinProjCurve): | |
135 | me.assertTrue(isinstance(P._z, C.FE)) | |
136 | else: | |
137 | me.assertEqual(P._z, None) | |
138 | me.assertEqual(E(None), O) | |
139 | me.assertEqual(E(P.x, P.y), P) | |
140 | me.assertEqual(E((P.x, P.y)), P) | |
141 | me.assertEqual(E(P._x, P._y, P._z), P) | |
142 | me.assertEqual(E((P._x, P._y, P._z)), P) | |
143 | Q = E(P.point); me.assertEqual(type(Q), E); me.assertEqual(Q, P) | |
144 | me.assertEqual(E("%s, %s" % (P.ix, P.iy)), P) | |
145 | me.assertRaises(ValueError, E, "1234") | |
146 | me.assertRaises(ValueError, E, "1234,") | |
147 | me.assertRaises(TypeError, E, 1, None) | |
148 | Q = E(P.ix); me.assertTrue(Q == P or Q == -P) | |
149 | for i in T.range(128): | |
150 | x = P.ix + i | |
151 | try: E(x) | |
152 | except ValueError: badx = x; break | |
153 | else: | |
154 | me.fail("no off-curve point found") | |
155 | ||
156 | ## Attributes. | |
157 | me.assertEqual(P.ix, P.point.ix) | |
158 | me.assertEqual(P.iy, P.point.iy) | |
159 | me.assertEqual(P.x, k(P.point.ix)) | |
160 | me.assertEqual(P.y, k(P.point.iy)) | |
161 | R = 6*P | |
162 | if isinstance(E, C.ECPrimeProjCurve) or isinstance(E, C.ECBinProjCurve): | |
163 | me.assertEqual(P._z, k.one) | |
164 | me.assertEqual(R._x, R.x*R._z**2) | |
165 | me.assertEqual(R._y, R.y*R._z**3) | |
166 | me.assertNotEqual(R._z, k.one) | |
167 | else: | |
168 | me.assertEqual(P._z, None) | |
169 | me.assertEqual(R._x, R.x) | |
170 | me.assertEqual(R._y, R.y) | |
171 | me.assertEqual(R._z, None) | |
172 | me.assertEqual(R.curve, E) | |
173 | ||
174 | ## Arithmetic. | |
175 | Q = 17*P | |
176 | me.assertEqual(Q, P*17) | |
177 | me.assertEqual(-Q, (n - 17)*P) | |
178 | me.assertEqual(Q + R, 23*P) | |
179 | me.assertEqual(Q + R.point, 23*P) | |
180 | me.assertRaises(TypeError, T.add, Q.point, R.point) | |
181 | me.assertEqual(Q - R, 11*P) | |
182 | me.assertEqual(P*l(17), Q) | |
183 | ||
184 | ## Ordering. | |
185 | me.assertTrue(P == P) | |
186 | me.assertTrue(P != Q) | |
187 | me.assertRaises(TypeError, T.lt, P, Q) | |
188 | me.assertRaises(TypeError, T.le, P, Q) | |
189 | me.assertRaises(TypeError, T.ge, P, Q) | |
190 | me.assertRaises(TypeError, T.gt, P, Q) | |
191 | ||
192 | ## Encoding. | |
193 | Z0 = C.ByteString.zero(0) | |
194 | Z1 = C.ByteString.zero(1) | |
195 | me.assertEqual(O.ec2osp(), Z1) | |
196 | me.assertEqual(E.os2ecp(Z1), (O, Z0)) | |
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197 | t = C.WriteBuffer() \ |
198 | .putu8(0x04) \ | |
199 | .put(P.ix.storeb(k.noctets)) \ | |
200 | .put(P.iy.storeb(k.noctets)) \ | |
201 | .contents | |
ffad1322 | 202 | me.assertEqual(P.ec2osp(), t) |
ac5a6ec0 | 203 | me.assertEqual(C.WriteBuffer().putecptraw(P).contents, t) |
ffad1322 MW |
204 | me.assertEqual(E.os2ecp(t), (P, Z0)) |
205 | me.assertEqual(C.ReadBuffer(t).getecptraw(E), P) | |
206 | if isinstance(k, C.PrimeField): ybit = int(P.iy&1) | |
207 | else: | |
208 | try: ybit = int((P.y/P.x).value&C.GF(1)) | |
209 | except ZeroDivisionError: ybit = 0 | |
ac5a6ec0 MW |
210 | t = C.WriteBuffer() \ |
211 | .putu8(0x02 | ybit) \ | |
212 | .put(P.ix.storeb(k.noctets)) \ | |
213 | .contents | |
ffad1322 MW |
214 | me.assertEqual(P.ec2osp(C.EC_LSB), t) |
215 | me.assertEqual(E.os2ecp(t, C.EC_LSB), (P, Z0)) | |
216 | ||
217 | ## Curve methods. | |
218 | Q = E.find(P.x); me.assertTrue(Q == P or Q == -P) | |
219 | Q = E.find(P.ix); me.assertTrue(Q == P or Q == -P) | |
220 | me.assertRaises(ValueError, E.find, badx) | |
221 | for i in T.range(128): | |
222 | if E.rand() != P: break | |
223 | else: | |
224 | me.fail("random point always gives me P") | |
225 | for i in T.range(128): | |
226 | R = E.rand(C.LCRand(i)) | |
227 | if R != P: break | |
228 | else: | |
229 | me.fail("random point always gives me P") | |
230 | me.assertEqual(R, E.rand(C.LCRand(i))) | |
231 | me.assertEqual(E.parse("%s, %s!xyzzy" % (P.ix, P.iy)), (P, "!xyzzy")) | |
232 | ||
233 | ## Simultaneous multiplication. | |
234 | Q, R, S = 5*P, 7*P, 11*P | |
235 | me.assertEqual(E.mmul([Q, 9, R, 8, S, 5]), 156*P) | |
236 | me.assertEqual(E.mmul(Q, 9, R, 8, S, 5), 156*P) | |
237 | ||
238 | ## Test other curve info things while we're here. | |
239 | if not checkfail: einfo.check() | |
240 | else: me.assertRaises(ValueError, einfo.check) | |
241 | ||
242 | def test_tinycurves(me): | |
243 | me._test_curve(C.ECInfo(E, 2*P, 13, 2), checkfail = True) | |
244 | ei, _ = C.ECInfo.parse("binpoly: 0x13; bin: 0x01, 0x08; 0x02, 0x0c: 5*4") | |
245 | me._test_curve(ei, checkfail = True) | |
246 | ||
247 | TestCurves.generate_testcases((name, C.eccurves[name]) for name in | |
248 | ["nist-p256", "nist-k233", "nist-b163", "nist-b283n"]) | |
249 | ||
250 | ###----- That's all, folks -------------------------------------------------- | |
251 | ||
252 | if __name__ == "__main__": U.main() |