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
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
|
from copy import copy
from os.path import join
from unittest import TestCase
from click.testing import CliRunner
from pyecsca.ec.params import get_params
from pyecsca.ec.key_agreement import ECDH_SHA1
from pyecsca.ec.mult import LTRMultiplier, RTLMultiplier, CoronMultiplier, BinaryNAFMultiplier
from pyecsca.ec.signature import ECDSA_SHA1, SignatureResult
from pyecsca.codegen.builder import build_impl
from pyecsca.codegen.client import HostTarget
class ImplTests(TestCase):
def setUp(self):
self.secp128r1 = get_params("secg", "secp128r1", "projective")
self.base = self.secp128r1.generator
self.coords = self.secp128r1.curve.coordinate_model
self.curve25519 = get_params("other", "Curve25519", "xz")
self.base25519 = self.curve25519.generator
self.coords25519 = self.curve25519.curve.coordinate_model
def do_basic_test(self, callback, runner, params, mult_class, formulas, mult_name,
ecdsa, ecdh, **mult_kwargs):
other_args = [
("--mul", "KARATSUBA", "--sqr", "KARATSUBA"),
("--mul", "TOOM_COOK", "--sqr", "TOOM_COOK"),
("--red", "BARRETT"),
("--red", "MONTGOMERY")
]
for additional in other_args:
with runner.isolated_filesystem() as tmpdir:
runner.invoke(build_impl,
["--platform", "HOST",
*additional,
"--ecdsa" if ecdsa else "--no-ecdsa",
"--ecdh" if ecdh else "--no-ecdh",
params.curve.model.shortname, params.curve.coordinate_model.name,
*formulas,
f"{mult_name}({','.join(f'{key}={value}' for key, value in mult_kwargs.items())})",
"."])
target = HostTarget(params.curve.model, params.curve.coordinate_model,
binary=join(tmpdir, "pyecsca-codegen-HOST.elf"))
target.connect()
target.set_params(params)
formula_instances = [params.curve.coordinate_model.formulas[formula] for formula
in formulas]
mult = mult_class(*formula_instances, **mult_kwargs)
mult.init(params, params.generator)
callback(target, mult, params)
target.disconnect()
class PRNGTests(ImplTests):
def test_init(self):
runner = CliRunner()
def callback(target, mult, params):
target.init_prng(bytes([0x12, 0x34, 0x56, 0x78]))
self.do_basic_test(callback, runner, self.secp128r1, LTRMultiplier,
["add-1998-cmo", "dbl-1998-cmo"], "ltr", False, False, complete=False)
class SetupTests(ImplTests):
def test_setup(self):
runner = CliRunner()
def callback(target, mult, params):
priv = 57
pub = mult.multiply(priv).to_affine()
target.set_privkey(priv)
target.set_pubkey(pub)
self.do_basic_test(callback, runner, self.secp128r1, LTRMultiplier,
["add-1998-cmo", "dbl-1998-cmo"], "ltr", False, False, complete=False)
def test_debug(self):
runner = CliRunner()
def callback(target, mult, params):
model, coords = target.debug()
self.assertEqual(model, params.curve.model.shortname)
self.assertEqual(coords, params.curve.coordinate_model.name)
self.do_basic_test(callback, runner, self.secp128r1, LTRMultiplier,
["add-1998-cmo", "dbl-1998-cmo"], "ltr", False, False, complete=False)
class KeyGenerationTests(ImplTests):
def do_keygen_test(self, runner, params, mult_class, formulas, mult_name, **mult_kwargs):
def callback(target, mult, params):
for _ in range(10):
priv, pub = target.generate()
self.assertTrue(params.curve.is_on_curve(pub))
expected = mult.multiply(priv).to_affine()
self.assertEqual(pub, expected)
self.do_basic_test(callback, runner, params, mult_class, formulas, mult_name, False, False,
**mult_kwargs)
def test_ltr(self):
runner = CliRunner()
self.do_keygen_test(runner, self.secp128r1, LTRMultiplier, ["add-1998-cmo", "dbl-1998-cmo"],
"ltr", complete=False)
self.do_keygen_test(runner, self.secp128r1, LTRMultiplier, ["add-1998-cmo", "dbl-1998-cmo"],
"ltr", complete=True)
self.do_keygen_test(runner, self.secp128r1, LTRMultiplier, ["add-1998-cmo", "dbl-1998-cmo"],
"ltr", always=True, complete=False)
self.do_keygen_test(runner, self.secp128r1, LTRMultiplier, ["add-1998-cmo", "dbl-1998-cmo"],
"ltr", always=True, complete=True)
def test_rtl(self):
runner = CliRunner()
self.do_keygen_test(runner, self.secp128r1, RTLMultiplier, ["add-1998-cmo", "dbl-1998-cmo"],
"rtl", always=False)
self.do_keygen_test(runner, self.secp128r1, RTLMultiplier, ["add-1998-cmo", "dbl-1998-cmo"],
"rtl", always=True)
def test_coron(self):
runner = CliRunner()
self.do_keygen_test(runner, self.secp128r1, CoronMultiplier,
["add-1998-cmo", "dbl-1998-cmo"], "coron")
def test_bnaf(self):
runner = CliRunner()
self.do_keygen_test(runner, self.secp128r1, BinaryNAFMultiplier,
["add-1998-cmo", "dbl-1998-cmo", "neg"], "bnaf")
# def test_ladder(self):
# runner = CliRunner()
# self.do_keygen_test(runner, self.curve25519, LadderMultiplier, ["ladd-1987-m", "dbl-1987-m"], "ldr")
# # TODO: what about coords where generator is not affine?
class ScalarMultiplicationTests(ImplTests):
def do_mult_test(self, runner, params, mult_class, formulas, mult_name, **mult_kwargs):
values = [15, 2355498743, 3253857901321912443757746]
def callback(target, mult, params):
for value in values:
result = target.scalar_mult(value, params.generator)
expected = mult.multiply(value)
self.assertEqual(result, expected)
self.do_basic_test(callback, runner, params, mult_class, formulas, mult_name, False, False,
**mult_kwargs)
def test_ltr(self):
runner = CliRunner()
self.do_mult_test(runner, self.secp128r1, LTRMultiplier, ["add-1998-cmo", "dbl-1998-cmo"],
"ltr", complete=False)
self.do_mult_test(runner, self.secp128r1, LTRMultiplier, ["add-1998-cmo", "dbl-1998-cmo"],
"ltr", complete=True)
self.do_mult_test(runner, self.secp128r1, LTRMultiplier, ["add-1998-cmo", "dbl-1998-cmo"],
"ltr", complete=False, always=True)
self.do_mult_test(runner, self.secp128r1, LTRMultiplier, ["add-1998-cmo", "dbl-1998-cmo"],
"ltr", complete=True, always=True)
def test_rtl(self):
runner = CliRunner()
self.do_mult_test(runner, self.secp128r1, RTLMultiplier, ["add-1998-cmo", "dbl-1998-cmo"],
"rtl", always=False)
self.do_mult_test(runner, self.secp128r1, RTLMultiplier, ["add-1998-cmo", "dbl-1998-cmo"],
"rtl", always=True)
def test_coron(self):
runner = CliRunner()
self.do_mult_test(runner, self.secp128r1, CoronMultiplier,
["add-1998-cmo", "dbl-1998-cmo"], "coron")
def test_bnaf(self):
runner = CliRunner()
self.do_mult_test(runner, self.secp128r1, BinaryNAFMultiplier,
["add-1998-cmo", "dbl-1998-cmo", "neg"], "bnaf")
class ECDHTests(ImplTests):
def do_ecdh_test(self, runner, params, mult_class, formulas, mult_name, **mult_kwargs):
other_privs = [15, 2355498743, 3253857901321912443757746]
def callback(target, mult, params):
for other_priv in other_privs:
priv, pub = target.generate()
other_pub = mult.multiply(other_priv)
ecdh = ECDH_SHA1(copy(mult), params, other_pub, priv)
result = target.ecdh(other_pub)
expected = ecdh.perform()
self.assertEqual(result, expected)
self.do_basic_test(callback, runner, params, mult_class, formulas, mult_name, False, True,
**mult_kwargs)
def test_ltr(self):
runner = CliRunner()
self.do_ecdh_test(runner, self.secp128r1, LTRMultiplier, ["add-1998-cmo", "dbl-1998-cmo"],
"ltr", complete=False)
self.do_ecdh_test(runner, self.secp128r1, LTRMultiplier, ["add-1998-cmo", "dbl-1998-cmo"],
"ltr", complete=True)
self.do_ecdh_test(runner, self.secp128r1, LTRMultiplier, ["add-1998-cmo", "dbl-1998-cmo"],
"ltr", complete=False, always=True)
self.do_ecdh_test(runner, self.secp128r1, LTRMultiplier, ["add-1998-cmo", "dbl-1998-cmo"],
"ltr", complete=True, always=True)
def test_rtl(self):
runner = CliRunner()
self.do_ecdh_test(runner, self.secp128r1, RTLMultiplier, ["add-1998-cmo", "dbl-1998-cmo"],
"rtl", always=False)
self.do_ecdh_test(runner, self.secp128r1, RTLMultiplier, ["add-1998-cmo", "dbl-1998-cmo"],
"rtl", always=True)
def test_coron(self):
runner = CliRunner()
self.do_ecdh_test(runner, self.secp128r1, CoronMultiplier,
["add-1998-cmo", "dbl-1998-cmo"], "coron")
def test_bnaf(self):
runner = CliRunner()
self.do_ecdh_test(runner, self.secp128r1, BinaryNAFMultiplier,
["add-1998-cmo", "dbl-1998-cmo", "neg"], "bnaf")
class ECDSATests(ImplTests):
def do_ecdsa_test(self, runner, params, mult_class, formulas, mult_name, **mult_kwargs):
data = b"something"
def callback(target, mult, params):
priv, pub = target.generate()
ecdsa = ECDSA_SHA1(copy(mult), params, mult.formulas["add"],
pub.to_model(params.curve.coordinate_model, params.curve), priv)
signature_data = target.ecdsa_sign(data)
result = SignatureResult.from_DER(signature_data)
self.assertTrue(ecdsa.verify_data(result, data))
expected = ecdsa.sign_data(data).to_DER()
self.assertTrue(target.ecdsa_verify(data, expected))
self.do_basic_test(callback, runner, params, mult_class, formulas, mult_name, True,
False, **mult_kwargs)
def test_ltr(self):
runner = CliRunner()
self.do_ecdsa_test(runner, self.secp128r1, LTRMultiplier, ["add-1998-cmo", "dbl-1998-cmo"],
"ltr", complete=False)
self.do_ecdsa_test(runner, self.secp128r1, LTRMultiplier, ["add-1998-cmo", "dbl-1998-cmo"],
"ltr", complete=True)
self.do_ecdsa_test(runner, self.secp128r1, LTRMultiplier, ["add-1998-cmo", "dbl-1998-cmo"],
"ltr", complete=False, always=True)
self.do_ecdsa_test(runner, self.secp128r1, LTRMultiplier, ["add-1998-cmo", "dbl-1998-cmo"],
"ltr", complete=True, always=True)
|