1// Copyright 2012 The Go Authors. All rights reserved.
2// Use of this source code is governed by a BSD-style
3// license that can be found in the LICENSE file.
4
5package elliptic
6
7import (
8	"encoding/hex"
9	"fmt"
10	"math/big"
11	"testing"
12)
13
14type baseMultTest struct {
15	k    string
16	x, y string
17}
18
19var 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
282func 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
299func TestP224GenericBaseMult(t *testing.T) {
300	// We use the P224 CurveParams directly in order to test the generic implementation.
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
317func TestP224Overflow(t *testing.T) {
318	// This tests for a specific bug in the P224 implementation.
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