1
2
3
4
5 package elliptic
6
7 import (
8 "encoding/hex"
9 "fmt"
10 "math/big"
11 "testing"
12 )
13
14 type baseMultTest struct {
15 k string
16 x, y string
17 }
18
19 var p224BaseMultTests = []baseMultTest{
20 {
21 "1",
22 "b70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21",
23 "bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34",
24 },
25 {
26 "2",
27 "706a46dc76dcb76798e60e6d89474788d16dc18032d268fd1a704fa6",
28 "1c2b76a7bc25e7702a704fa986892849fca629487acf3709d2e4e8bb",
29 },
30 {
31 "3",
32 "df1b1d66a551d0d31eff822558b9d2cc75c2180279fe0d08fd896d04",
33 "a3f7f03cadd0be444c0aa56830130ddf77d317344e1af3591981a925",
34 },
35 {
36 "4",
37 "ae99feebb5d26945b54892092a8aee02912930fa41cd114e40447301",
38 "482580a0ec5bc47e88bc8c378632cd196cb3fa058a7114eb03054c9",
39 },
40 {
41 "5",
42 "31c49ae75bce7807cdff22055d94ee9021fedbb5ab51c57526f011aa",
43 "27e8bff1745635ec5ba0c9f1c2ede15414c6507d29ffe37e790a079b",
44 },
45 {
46 "6",
47 "1f2483f82572251fca975fea40db821df8ad82a3c002ee6c57112408",
48 "89faf0ccb750d99b553c574fad7ecfb0438586eb3952af5b4b153c7e",
49 },
50 {
51 "7",
52 "db2f6be630e246a5cf7d99b85194b123d487e2d466b94b24a03c3e28",
53 "f3a30085497f2f611ee2517b163ef8c53b715d18bb4e4808d02b963",
54 },
55 {
56 "8",
57 "858e6f9cc6c12c31f5df124aa77767b05c8bc021bd683d2b55571550",
58 "46dcd3ea5c43898c5c5fc4fdac7db39c2f02ebee4e3541d1e78047a",
59 },
60 {
61 "9",
62 "2fdcccfee720a77ef6cb3bfbb447f9383117e3daa4a07e36ed15f78d",
63 "371732e4f41bf4f7883035e6a79fcedc0e196eb07b48171697517463",
64 },
65 {
66 "10",
67 "aea9e17a306517eb89152aa7096d2c381ec813c51aa880e7bee2c0fd",
68 "39bb30eab337e0a521b6cba1abe4b2b3a3e524c14a3fe3eb116b655f",
69 },
70 {
71 "11",
72 "ef53b6294aca431f0f3c22dc82eb9050324f1d88d377e716448e507c",
73 "20b510004092e96636cfb7e32efded8265c266dfb754fa6d6491a6da",
74 },
75 {
76 "12",
77 "6e31ee1dc137f81b056752e4deab1443a481033e9b4c93a3044f4f7a",
78 "207dddf0385bfdeab6e9acda8da06b3bbef224a93ab1e9e036109d13",
79 },
80 {
81 "13",
82 "34e8e17a430e43289793c383fac9774247b40e9ebd3366981fcfaeca",
83 "252819f71c7fb7fbcb159be337d37d3336d7feb963724fdfb0ecb767",
84 },
85 {
86 "14",
87 "a53640c83dc208603ded83e4ecf758f24c357d7cf48088b2ce01e9fa",
88 "d5814cd724199c4a5b974a43685fbf5b8bac69459c9469bc8f23ccaf",
89 },
90 {
91 "15",
92 "baa4d8635511a7d288aebeedd12ce529ff102c91f97f867e21916bf9",
93 "979a5f4759f80f4fb4ec2e34f5566d595680a11735e7b61046127989",
94 },
95 {
96 "16",
97 "b6ec4fe1777382404ef679997ba8d1cc5cd8e85349259f590c4c66d",
98 "3399d464345906b11b00e363ef429221f2ec720d2f665d7dead5b482",
99 },
100 {
101 "17",
102 "b8357c3a6ceef288310e17b8bfeff9200846ca8c1942497c484403bc",
103 "ff149efa6606a6bd20ef7d1b06bd92f6904639dce5174db6cc554a26",
104 },
105 {
106 "18",
107 "c9ff61b040874c0568479216824a15eab1a838a797d189746226e4cc",
108 "ea98d60e5ffc9b8fcf999fab1df7e7ef7084f20ddb61bb045a6ce002",
109 },
110 {
111 "19",
112 "a1e81c04f30ce201c7c9ace785ed44cc33b455a022f2acdbc6cae83c",
113 "dcf1f6c3db09c70acc25391d492fe25b4a180babd6cea356c04719cd",
114 },
115 {
116 "20",
117 "fcc7f2b45df1cd5a3c0c0731ca47a8af75cfb0347e8354eefe782455",
118 "d5d7110274cba7cdee90e1a8b0d394c376a5573db6be0bf2747f530",
119 },
120 {
121 "112233445566778899",
122 "61f077c6f62ed802dad7c2f38f5c67f2cc453601e61bd076bb46179e",
123 "2272f9e9f5933e70388ee652513443b5e289dd135dcc0d0299b225e4",
124 },
125 {
126 "112233445566778899112233445566778899",
127 "29895f0af496bfc62b6ef8d8a65c88c613949b03668aab4f0429e35",
128 "3ea6e53f9a841f2019ec24bde1a75677aa9b5902e61081c01064de93",
129 },
130 {
131 "6950511619965839450988900688150712778015737983940691968051900319680",
132 "ab689930bcae4a4aa5f5cb085e823e8ae30fd365eb1da4aba9cf0379",
133 "3345a121bbd233548af0d210654eb40bab788a03666419be6fbd34e7",
134 },
135 {
136 "13479972933410060327035789020509431695094902435494295338570602119423",
137 "bdb6a8817c1f89da1c2f3dd8e97feb4494f2ed302a4ce2bc7f5f4025",
138 "4c7020d57c00411889462d77a5438bb4e97d177700bf7243a07f1680",
139 },
140 {
141 "13479971751745682581351455311314208093898607229429740618390390702079",
142 "d58b61aa41c32dd5eba462647dba75c5d67c83606c0af2bd928446a9",
143 "d24ba6a837be0460dd107ae77725696d211446c5609b4595976b16bd",
144 },
145 {
146 "13479972931865328106486971546324465392952975980343228160962702868479",
147 "dc9fa77978a005510980e929a1485f63716df695d7a0c18bb518df03",
148 "ede2b016f2ddffc2a8c015b134928275ce09e5661b7ab14ce0d1d403",
149 },
150 {
151 "11795773708834916026404142434151065506931607341523388140225443265536",
152 "499d8b2829cfb879c901f7d85d357045edab55028824d0f05ba279ba",
153 "bf929537b06e4015919639d94f57838fa33fc3d952598dcdbb44d638",
154 },
155 {
156 "784254593043826236572847595991346435467177662189391577090",
157 "8246c999137186632c5f9eddf3b1b0e1764c5e8bd0e0d8a554b9cb77",
158 "e80ed8660bc1cb17ac7d845be40a7a022d3306f116ae9f81fea65947",
159 },
160 {
161 "13479767645505654746623887797783387853576174193480695826442858012671",
162 "6670c20afcceaea672c97f75e2e9dd5c8460e54bb38538ebb4bd30eb",
163 "f280d8008d07a4caf54271f993527d46ff3ff46fd1190a3f1faa4f74",
164 },
165 {
166 "205688069665150753842126177372015544874550518966168735589597183",
167 "eca934247425cfd949b795cb5ce1eff401550386e28d1a4c5a8eb",
168 "d4c01040dba19628931bc8855370317c722cbd9ca6156985f1c2e9ce",
169 },
170 {
171 "13479966930919337728895168462090683249159702977113823384618282123295",
172 "ef353bf5c73cd551b96d596fbc9a67f16d61dd9fe56af19de1fba9cd",
173 "21771b9cdce3e8430c09b3838be70b48c21e15bc09ee1f2d7945b91f",
174 },
175 {
176 "50210731791415612487756441341851895584393717453129007497216",
177 "4036052a3091eb481046ad3289c95d3ac905ca0023de2c03ecd451cf",
178 "d768165a38a2b96f812586a9d59d4136035d9c853a5bf2e1c86a4993",
179 },
180 {
181 "26959946667150639794667015087019625940457807714424391721682722368041",
182 "fcc7f2b45df1cd5a3c0c0731ca47a8af75cfb0347e8354eefe782455",
183 "f2a28eefd8b345832116f1e574f2c6b2c895aa8c24941f40d8b80ad1",
184 },
185 {
186 "26959946667150639794667015087019625940457807714424391721682722368042",
187 "a1e81c04f30ce201c7c9ace785ed44cc33b455a022f2acdbc6cae83c",
188 "230e093c24f638f533dac6e2b6d01da3b5e7f45429315ca93fb8e634",
189 },
190 {
191 "26959946667150639794667015087019625940457807714424391721682722368043",
192 "c9ff61b040874c0568479216824a15eab1a838a797d189746226e4cc",
193 "156729f1a003647030666054e208180f8f7b0df2249e44fba5931fff",
194 },
195 {
196 "26959946667150639794667015087019625940457807714424391721682722368044",
197 "b8357c3a6ceef288310e17b8bfeff9200846ca8c1942497c484403bc",
198 "eb610599f95942df1082e4f9426d086fb9c6231ae8b24933aab5db",
199 },
200 {
201 "26959946667150639794667015087019625940457807714424391721682722368045",
202 "b6ec4fe1777382404ef679997ba8d1cc5cd8e85349259f590c4c66d",
203 "cc662b9bcba6f94ee4ff1c9c10bd6ddd0d138df2d099a282152a4b7f",
204 },
205 {
206 "26959946667150639794667015087019625940457807714424391721682722368046",
207 "baa4d8635511a7d288aebeedd12ce529ff102c91f97f867e21916bf9",
208 "6865a0b8a607f0b04b13d1cb0aa992a5a97f5ee8ca1849efb9ed8678",
209 },
210 {
211 "26959946667150639794667015087019625940457807714424391721682722368047",
212 "a53640c83dc208603ded83e4ecf758f24c357d7cf48088b2ce01e9fa",
213 "2a7eb328dbe663b5a468b5bc97a040a3745396ba636b964370dc3352",
214 },
215 {
216 "26959946667150639794667015087019625940457807714424391721682722368048",
217 "34e8e17a430e43289793c383fac9774247b40e9ebd3366981fcfaeca",
218 "dad7e608e380480434ea641cc82c82cbc92801469c8db0204f13489a",
219 },
220 {
221 "26959946667150639794667015087019625940457807714424391721682722368049",
222 "6e31ee1dc137f81b056752e4deab1443a481033e9b4c93a3044f4f7a",
223 "df82220fc7a4021549165325725f94c3410ddb56c54e161fc9ef62ee",
224 },
225 {
226 "26959946667150639794667015087019625940457807714424391721682722368050",
227 "ef53b6294aca431f0f3c22dc82eb9050324f1d88d377e716448e507c",
228 "df4aefffbf6d1699c930481cd102127c9a3d992048ab05929b6e5927",
229 },
230 {
231 "26959946667150639794667015087019625940457807714424391721682722368051",
232 "aea9e17a306517eb89152aa7096d2c381ec813c51aa880e7bee2c0fd",
233 "c644cf154cc81f5ade49345e541b4d4b5c1adb3eb5c01c14ee949aa2",
234 },
235 {
236 "26959946667150639794667015087019625940457807714424391721682722368052",
237 "2fdcccfee720a77ef6cb3bfbb447f9383117e3daa4a07e36ed15f78d",
238 "c8e8cd1b0be40b0877cfca1958603122f1e6914f84b7e8e968ae8b9e",
239 },
240 {
241 "26959946667150639794667015087019625940457807714424391721682722368053",
242 "858e6f9cc6c12c31f5df124aa77767b05c8bc021bd683d2b55571550",
243 "fb9232c15a3bc7673a3a03b0253824c53d0fd1411b1cabe2e187fb87",
244 },
245 {
246 "26959946667150639794667015087019625940457807714424391721682722368054",
247 "db2f6be630e246a5cf7d99b85194b123d487e2d466b94b24a03c3e28",
248 "f0c5cff7ab680d09ee11dae84e9c1072ac48ea2e744b1b7f72fd469e",
249 },
250 {
251 "26959946667150639794667015087019625940457807714424391721682722368055",
252 "1f2483f82572251fca975fea40db821df8ad82a3c002ee6c57112408",
253 "76050f3348af2664aac3a8b05281304ebc7a7914c6ad50a4b4eac383",
254 },
255 {
256 "26959946667150639794667015087019625940457807714424391721682722368056",
257 "31c49ae75bce7807cdff22055d94ee9021fedbb5ab51c57526f011aa",
258 "d817400e8ba9ca13a45f360e3d121eaaeb39af82d6001c8186f5f866",
259 },
260 {
261 "26959946667150639794667015087019625940457807714424391721682722368057",
262 "ae99feebb5d26945b54892092a8aee02912930fa41cd114e40447301",
263 "fb7da7f5f13a43b81774373c879cd32d6934c05fa758eeb14fcfab38",
264 },
265 {
266 "26959946667150639794667015087019625940457807714424391721682722368058",
267 "df1b1d66a551d0d31eff822558b9d2cc75c2180279fe0d08fd896d04",
268 "5c080fc3522f41bbb3f55a97cfecf21f882ce8cbb1e50ca6e67e56dc",
269 },
270 {
271 "26959946667150639794667015087019625940457807714424391721682722368059",
272 "706a46dc76dcb76798e60e6d89474788d16dc18032d268fd1a704fa6",
273 "e3d4895843da188fd58fb0567976d7b50359d6b78530c8f62d1b1746",
274 },
275 {
276 "26959946667150639794667015087019625940457807714424391721682722368060",
277 "b70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21",
278 "42c89c774a08dc04b3dd201932bc8a5ea5f8b89bbb2a7e667aff81cd",
279 },
280 }
281
282 func TestP224BaseMult(t *testing.T) {
283 p224 := P224()
284 for i, e := range p224BaseMultTests {
285 k, ok := new(big.Int).SetString(e.k, 10)
286 if !ok {
287 t.Errorf("%d: bad value for k: %s", i, e.k)
288 }
289 x, y := p224.ScalarBaseMult(k.Bytes())
290 if fmt.Sprintf("%x", x) != e.x || fmt.Sprintf("%x", y) != e.y {
291 t.Errorf("%d: bad output for k=%s: got (%x, %x), want (%s, %s)", i, e.k, x, y, e.x, e.y)
292 }
293 if testing.Short() && i > 5 {
294 break
295 }
296 }
297 }
298
299 func TestP224GenericBaseMult(t *testing.T) {
300
301 p224 := genericParamsForCurve(P224())
302 for i, e := range p224BaseMultTests {
303 k, ok := new(big.Int).SetString(e.k, 10)
304 if !ok {
305 t.Errorf("%d: bad value for k: %s", i, e.k)
306 }
307 x, y := p224.ScalarBaseMult(k.Bytes())
308 if fmt.Sprintf("%x", x) != e.x || fmt.Sprintf("%x", y) != e.y {
309 t.Errorf("%d: bad output for k=%s: got (%x, %x), want (%s, %s)", i, e.k, x, y, e.x, e.y)
310 }
311 if testing.Short() && i > 5 {
312 break
313 }
314 }
315 }
316
317 func TestP224Overflow(t *testing.T) {
318
319 p224 := P224()
320 pointData, _ := hex.DecodeString("049B535B45FB0A2072398A6831834624C7E32CCFD5A4B933BCEAF77F1DD945E08BBE5178F5EDF5E733388F196D2A631D2E075BB16CBFEEA15B")
321 x, y := Unmarshal(p224, pointData)
322 if !p224.IsOnCurve(x, y) {
323 t.Error("P224 failed to validate a correct point")
324 }
325 }
326
View as plain text