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
|
{-# LANGUAGE OverloadedStrings #-}
module KAT_PubKey.ECC (eccTests, eccKatTests) where
import Control.Arrow (second)
import Data.List
import qualified Crypto.PubKey.ECC.Prim as ECC
import qualified Crypto.PubKey.ECC.Types as ECC
import Test.Tasty.KAT
import Test.Tasty.KAT.FileLoader
import Imports
instance Arbitrary ECC.Curve where
arbitrary =
ECC.getCurveByName
<$> elements
[ ECC.SEC_p112r1
, ECC.SEC_p112r2
, ECC.SEC_p128r1
, ECC.SEC_p128r2
, ECC.SEC_p160k1
, ECC.SEC_p160r1
, ECC.SEC_p160r2
, ECC.SEC_p192k1
, ECC.SEC_p192r1
, ECC.SEC_p224k1
, ECC.SEC_p224r1
, ECC.SEC_p256k1
, ECC.SEC_p256r1
, ECC.SEC_p384r1
, ECC.SEC_p521r1
, ECC.SEC_t113r1
, ECC.SEC_t113r2
, ECC.SEC_t131r1
, ECC.SEC_t131r2
, ECC.SEC_t163k1
, ECC.SEC_t163r1
, ECC.SEC_t163r2
, ECC.SEC_t193r1
, ECC.SEC_t193r2
, ECC.SEC_t233k1
, ECC.SEC_t233r1
, ECC.SEC_t239k1
, ECC.SEC_t283k1
, ECC.SEC_t283r1
, ECC.SEC_t409k1
, ECC.SEC_t409r1
, ECC.SEC_t571k1
, ECC.SEC_t571r1
]
data VectorPoint = VectorPoint
{ curve :: ECC.Curve
, x :: Integer
, y :: Integer
, valid :: Bool
}
vectorsPoint :: [VectorPoint]
vectorsPoint =
[ VectorPoint
{ curve = ECC.getCurveByName ECC.SEC_p192r1
, x = 0x491c0c4761b0a4a147b5e4ce03a531546644f5d1e3d05e57
, y = 0x6fa5addd47c5d6be3933fbff88f57a6c8ca0232c471965de
, valid = False -- point not on curve
}
, VectorPoint
{ curve = ECC.getCurveByName ECC.SEC_p192r1
, x = 0x646c22e8aa5f7833390e0399155ac198ae42470bba4fc834
, y = 0x8d4afcfffd80e69a4d180178b37c44572495b7b267ee32a9
, valid = True
}
, VectorPoint
{ curve = ECC.getCurveByName ECC.SEC_p192r1
, x = 0x4c6b9ea0dec92ecfff7799470be6a2277b9169daf45d54bb
, y = 0xf0eab42826704f51b26ae98036e83230becb639dd1964627
, valid = False -- point not on curve
}
, VectorPoint
{ curve = ECC.getCurveByName ECC.SEC_p192r1
, x = 0x0673c8bb717b055c3d6f55c06acfcfb7260361ed3ec0f414
, y = 0xba8b172826eb0b854026968d2338a180450a27906f6eddea
, valid = True
}
, VectorPoint
{ curve = ECC.getCurveByName ECC.SEC_p192r1
, x = 0x82c949295156192df0b52480e38c810751ac570daec460a3
, y = 0x200057ada615c80b8ff256ce8d47f2562b74a438f1921ac3
, valid = False -- point not on curve
}
, VectorPoint
{ curve = ECC.getCurveByName ECC.SEC_p192r1
, x = 0x284fbaa76ce0faae2ca4867d01092fa1ace5724cd12c8dd0
, y = 0xe42af3dbf3206be3fcbcc3a7ccaf60c73dc29e7bb9b44fca
, valid = True
}
, VectorPoint
{ curve = ECC.getCurveByName ECC.SEC_p192r1
, x = 0x1b574acd4fb0f60dde3e3b5f3f0e94211f95112e43cba6fd2
, y = 0xbcc1b8a770f01a22e84d7f14e44932ffe094d8e3b1e6ac26
, valid = False -- x or y out of range
}
, VectorPoint
{ curve = ECC.getCurveByName ECC.SEC_p192r1
, x = 0x16ba109f1f1bb44e0d05b80181c03412ea764a59601d17e9f
, y = 0x0569a843dbb4e287db420d6b9fe30cd7b5d578b052315f56
, valid = False -- x or y out of range
}
, VectorPoint
{ curve = ECC.getCurveByName ECC.SEC_p192r1
, x = 0x1333308a7c833ede5189d25ea3525919c9bd16370d904938d
, y = 0xb10fd01d67df75ff9b726c700c1b50596c9f0766ea56f80e
, valid = False -- x or y out of range
}
, VectorPoint
{ curve = ECC.getCurveByName ECC.SEC_p192r1
, x = 0x9671ec444cff24c8a5be80b018fa505ed6109a731e88c91a
, y = 0xfe79dae23008e46bf4230c895aab261a95845a77f06d0655
, valid = True
}
, VectorPoint
{ curve = ECC.getCurveByName ECC.SEC_p192r1
, x = 0x158e8b6f0b14216bc52fe8897b4305d870ede70436a96741d
, y = 0xfb3f970b19a313571a1a23be310923f85acc1cab0a157cbd
, valid = False -- x or y out of range
}
, VectorPoint
{ curve = ECC.getCurveByName ECC.SEC_p192r1
, x = 0xace95b650c08f73dbb4fa7b4bbdebd6b809a25b28ed135ef
, y = 0xe9b8679404166d1329dd539ad52aad9a1b6681f5f26bb9aa
, valid = False -- point not on curve
}
]
doPointValidTest :: Show a => a -> VectorPoint -> TestTree
doPointValidTest i vector =
testCase
(show i)
( valid vector
@=? ECC.isPointValid (curve vector) (ECC.Point (x vector) (y vector))
)
arbitraryPoint :: ECC.Curve -> Gen ECC.Point
arbitraryPoint aCurve =
frequency [(5, return ECC.PointO), (95, pointGen)]
where
n = ECC.ecc_n (ECC.common_curve aCurve)
pointGen = ECC.pointBaseMul aCurve <$> choose (1, n - 1)
eccTests :: TestTree
eccTests =
testGroup
"ECC"
[ testGroup "valid-point" $ zipWith doPointValidTest [katZero ..] vectorsPoint
, localOption (QuickCheckTests 20) $
testGroup
"property"
[ testProperty "point-add" $ \aCurve (QAInteger r1) (QAInteger r2) ->
let curveN = ECC.ecc_n . ECC.common_curve $ aCurve
curveGen = ECC.ecc_g . ECC.common_curve $ aCurve
p1 = ECC.pointMul aCurve r1 curveGen
p2 = ECC.pointMul aCurve r2 curveGen
pR = ECC.pointMul aCurve ((r1 + r2) `mod` curveN) curveGen
in pR `propertyEq` ECC.pointAdd aCurve p1 p2
, testProperty "point-negate-add" $ \aCurve -> do
p <- arbitraryPoint aCurve
let o = ECC.pointAdd aCurve p (ECC.pointNegate aCurve p)
return $ ECC.PointO `propertyEq` o
, testProperty "point-negate-negate" $ \aCurve -> do
p <- arbitraryPoint aCurve
return $ p `propertyEq` ECC.pointNegate aCurve (ECC.pointNegate aCurve p)
, testProperty "point-mul-mul" $ \aCurve (QAInteger n1) (QAInteger n2) -> do
p <- arbitraryPoint aCurve
let pRes = ECC.pointMul aCurve (n1 * n2) p
let pDef = ECC.pointMul aCurve n1 (ECC.pointMul aCurve n2 p)
return $ pRes `propertyEq` pDef
, testProperty "double-scalar-mult" $ \aCurve (QAInteger n1) (QAInteger n2) -> do
p1 <- arbitraryPoint aCurve
p2 <- arbitraryPoint aCurve
let pRes = ECC.pointAddTwoMuls aCurve n1 p1 n2 p2
let pDef = ECC.pointAdd aCurve (ECC.pointMul aCurve n1 p1) (ECC.pointMul aCurve n2 p2)
return $ pRes `propertyEq` pDef
]
]
eccKatTests :: IO TestTree
eccKatTests = do
res <-
testKatLoad "KATs/ECC-PKV.txt" (map (second (map toVector)) . katLoaderSimple)
return $
testKatDetailed {-Grouped-}
"ECC/valid-point"
res
( \g vect -> do
let mCurve =
ECC.getCurveByName <$> case g of
"P-192" -> Just ECC.SEC_p192r1
"P-224" -> Just ECC.SEC_p224r1
"P-256" -> Just ECC.SEC_p256r1
"P-384" -> Just ECC.SEC_p384r1
"P-521" -> Just ECC.SEC_p521r1
"B-163" -> Just ECC.SEC_t163r2
"B-233" -> Just ECC.SEC_t233r1
"B-283" -> Just ECC.SEC_t283r1
"B-409" -> Just ECC.SEC_t409r1
"B-571" -> Just ECC.SEC_t571r1
"" -> Nothing
_ -> Nothing
{-
"K-163" -> Just ECC.SEC_t163k1
"K-233" -> Just ECC.SEC_t233k1
"K-283" -> Just ECC.SEC_t283k1
"K-409" -> Just ECC.SEC_t409k1
"K-571" -> Just ECC.SEC_t571k1
-}
case mCurve of
Nothing -> return True
Just c -> do
return (ECC.isPointValid c (ECC.Point (x vect) (y vect)) == valid vect)
)
where
toVector kvs =
case sequence $ map (flip lookup kvs) ["Qx", "Qy", "Result"] of
Just [qx, qy, res] ->
VectorPoint
undefined
(valueHexInteger qx)
(valueHexInteger qy)
("F" `isPrefixOf` res)
Just _ -> error ("ERROR: " ++ show kvs)
Nothing -> error ("ERROR: " ++ show kvs) -- VectorPoint undefined 0 0 True
|
