1 // Copyright 2010 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.
15 func TestOnCurve(t
*testing
.T
) {
17 if !p224
.IsOnCurve(p224
.Params().Gx
, p224
.Params().Gy
) {
22 func TestOffCurve(t
*testing
.T
) {
24 x
, y
:= new(big
.Int
).SetInt64(1), new(big
.Int
).SetInt64(1)
25 if p224
.IsOnCurve(x
, y
) {
26 t
.Errorf("FAIL: point off curve is claimed to be on the curve")
28 b
:= Marshal(p224
, x
, y
)
29 x1
, y1
:= Unmarshal(p224
, b
)
30 if x1
!= nil || y1
!= nil {
31 t
.Errorf("FAIL: unmarshaling a point not on the curve succeeded")
35 type baseMultTest
struct {
40 var p224BaseMultTests
= []baseMultTest
{
43 "b70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21",
44 "bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34",
48 "706a46dc76dcb76798e60e6d89474788d16dc18032d268fd1a704fa6",
49 "1c2b76a7bc25e7702a704fa986892849fca629487acf3709d2e4e8bb",
53 "df1b1d66a551d0d31eff822558b9d2cc75c2180279fe0d08fd896d04",
54 "a3f7f03cadd0be444c0aa56830130ddf77d317344e1af3591981a925",
58 "ae99feebb5d26945b54892092a8aee02912930fa41cd114e40447301",
59 "482580a0ec5bc47e88bc8c378632cd196cb3fa058a7114eb03054c9",
63 "31c49ae75bce7807cdff22055d94ee9021fedbb5ab51c57526f011aa",
64 "27e8bff1745635ec5ba0c9f1c2ede15414c6507d29ffe37e790a079b",
68 "1f2483f82572251fca975fea40db821df8ad82a3c002ee6c57112408",
69 "89faf0ccb750d99b553c574fad7ecfb0438586eb3952af5b4b153c7e",
73 "db2f6be630e246a5cf7d99b85194b123d487e2d466b94b24a03c3e28",
74 "f3a30085497f2f611ee2517b163ef8c53b715d18bb4e4808d02b963",
78 "858e6f9cc6c12c31f5df124aa77767b05c8bc021bd683d2b55571550",
79 "46dcd3ea5c43898c5c5fc4fdac7db39c2f02ebee4e3541d1e78047a",
83 "2fdcccfee720a77ef6cb3bfbb447f9383117e3daa4a07e36ed15f78d",
84 "371732e4f41bf4f7883035e6a79fcedc0e196eb07b48171697517463",
88 "aea9e17a306517eb89152aa7096d2c381ec813c51aa880e7bee2c0fd",
89 "39bb30eab337e0a521b6cba1abe4b2b3a3e524c14a3fe3eb116b655f",
93 "ef53b6294aca431f0f3c22dc82eb9050324f1d88d377e716448e507c",
94 "20b510004092e96636cfb7e32efded8265c266dfb754fa6d6491a6da",
98 "6e31ee1dc137f81b056752e4deab1443a481033e9b4c93a3044f4f7a",
99 "207dddf0385bfdeab6e9acda8da06b3bbef224a93ab1e9e036109d13",
103 "34e8e17a430e43289793c383fac9774247b40e9ebd3366981fcfaeca",
104 "252819f71c7fb7fbcb159be337d37d3336d7feb963724fdfb0ecb767",
108 "a53640c83dc208603ded83e4ecf758f24c357d7cf48088b2ce01e9fa",
109 "d5814cd724199c4a5b974a43685fbf5b8bac69459c9469bc8f23ccaf",
113 "baa4d8635511a7d288aebeedd12ce529ff102c91f97f867e21916bf9",
114 "979a5f4759f80f4fb4ec2e34f5566d595680a11735e7b61046127989",
118 "b6ec4fe1777382404ef679997ba8d1cc5cd8e85349259f590c4c66d",
119 "3399d464345906b11b00e363ef429221f2ec720d2f665d7dead5b482",
123 "b8357c3a6ceef288310e17b8bfeff9200846ca8c1942497c484403bc",
124 "ff149efa6606a6bd20ef7d1b06bd92f6904639dce5174db6cc554a26",
128 "c9ff61b040874c0568479216824a15eab1a838a797d189746226e4cc",
129 "ea98d60e5ffc9b8fcf999fab1df7e7ef7084f20ddb61bb045a6ce002",
133 "a1e81c04f30ce201c7c9ace785ed44cc33b455a022f2acdbc6cae83c",
134 "dcf1f6c3db09c70acc25391d492fe25b4a180babd6cea356c04719cd",
138 "fcc7f2b45df1cd5a3c0c0731ca47a8af75cfb0347e8354eefe782455",
139 "d5d7110274cba7cdee90e1a8b0d394c376a5573db6be0bf2747f530",
142 "112233445566778899",
143 "61f077c6f62ed802dad7c2f38f5c67f2cc453601e61bd076bb46179e",
144 "2272f9e9f5933e70388ee652513443b5e289dd135dcc0d0299b225e4",
147 "112233445566778899112233445566778899",
148 "29895f0af496bfc62b6ef8d8a65c88c613949b03668aab4f0429e35",
149 "3ea6e53f9a841f2019ec24bde1a75677aa9b5902e61081c01064de93",
152 "6950511619965839450988900688150712778015737983940691968051900319680",
153 "ab689930bcae4a4aa5f5cb085e823e8ae30fd365eb1da4aba9cf0379",
154 "3345a121bbd233548af0d210654eb40bab788a03666419be6fbd34e7",
157 "13479972933410060327035789020509431695094902435494295338570602119423",
158 "bdb6a8817c1f89da1c2f3dd8e97feb4494f2ed302a4ce2bc7f5f4025",
159 "4c7020d57c00411889462d77a5438bb4e97d177700bf7243a07f1680",
162 "13479971751745682581351455311314208093898607229429740618390390702079",
163 "d58b61aa41c32dd5eba462647dba75c5d67c83606c0af2bd928446a9",
164 "d24ba6a837be0460dd107ae77725696d211446c5609b4595976b16bd",
167 "13479972931865328106486971546324465392952975980343228160962702868479",
168 "dc9fa77978a005510980e929a1485f63716df695d7a0c18bb518df03",
169 "ede2b016f2ddffc2a8c015b134928275ce09e5661b7ab14ce0d1d403",
172 "11795773708834916026404142434151065506931607341523388140225443265536",
173 "499d8b2829cfb879c901f7d85d357045edab55028824d0f05ba279ba",
174 "bf929537b06e4015919639d94f57838fa33fc3d952598dcdbb44d638",
177 "784254593043826236572847595991346435467177662189391577090",
178 "8246c999137186632c5f9eddf3b1b0e1764c5e8bd0e0d8a554b9cb77",
179 "e80ed8660bc1cb17ac7d845be40a7a022d3306f116ae9f81fea65947",
182 "13479767645505654746623887797783387853576174193480695826442858012671",
183 "6670c20afcceaea672c97f75e2e9dd5c8460e54bb38538ebb4bd30eb",
184 "f280d8008d07a4caf54271f993527d46ff3ff46fd1190a3f1faa4f74",
187 "205688069665150753842126177372015544874550518966168735589597183",
188 "eca934247425cfd949b795cb5ce1eff401550386e28d1a4c5a8eb",
189 "d4c01040dba19628931bc8855370317c722cbd9ca6156985f1c2e9ce",
192 "13479966930919337728895168462090683249159702977113823384618282123295",
193 "ef353bf5c73cd551b96d596fbc9a67f16d61dd9fe56af19de1fba9cd",
194 "21771b9cdce3e8430c09b3838be70b48c21e15bc09ee1f2d7945b91f",
197 "50210731791415612487756441341851895584393717453129007497216",
198 "4036052a3091eb481046ad3289c95d3ac905ca0023de2c03ecd451cf",
199 "d768165a38a2b96f812586a9d59d4136035d9c853a5bf2e1c86a4993",
202 "26959946667150639794667015087019625940457807714424391721682722368041",
203 "fcc7f2b45df1cd5a3c0c0731ca47a8af75cfb0347e8354eefe782455",
204 "f2a28eefd8b345832116f1e574f2c6b2c895aa8c24941f40d8b80ad1",
207 "26959946667150639794667015087019625940457807714424391721682722368042",
208 "a1e81c04f30ce201c7c9ace785ed44cc33b455a022f2acdbc6cae83c",
209 "230e093c24f638f533dac6e2b6d01da3b5e7f45429315ca93fb8e634",
212 "26959946667150639794667015087019625940457807714424391721682722368043",
213 "c9ff61b040874c0568479216824a15eab1a838a797d189746226e4cc",
214 "156729f1a003647030666054e208180f8f7b0df2249e44fba5931fff",
217 "26959946667150639794667015087019625940457807714424391721682722368044",
218 "b8357c3a6ceef288310e17b8bfeff9200846ca8c1942497c484403bc",
219 "eb610599f95942df1082e4f9426d086fb9c6231ae8b24933aab5db",
222 "26959946667150639794667015087019625940457807714424391721682722368045",
223 "b6ec4fe1777382404ef679997ba8d1cc5cd8e85349259f590c4c66d",
224 "cc662b9bcba6f94ee4ff1c9c10bd6ddd0d138df2d099a282152a4b7f",
227 "26959946667150639794667015087019625940457807714424391721682722368046",
228 "baa4d8635511a7d288aebeedd12ce529ff102c91f97f867e21916bf9",
229 "6865a0b8a607f0b04b13d1cb0aa992a5a97f5ee8ca1849efb9ed8678",
232 "26959946667150639794667015087019625940457807714424391721682722368047",
233 "a53640c83dc208603ded83e4ecf758f24c357d7cf48088b2ce01e9fa",
234 "2a7eb328dbe663b5a468b5bc97a040a3745396ba636b964370dc3352",
237 "26959946667150639794667015087019625940457807714424391721682722368048",
238 "34e8e17a430e43289793c383fac9774247b40e9ebd3366981fcfaeca",
239 "dad7e608e380480434ea641cc82c82cbc92801469c8db0204f13489a",
242 "26959946667150639794667015087019625940457807714424391721682722368049",
243 "6e31ee1dc137f81b056752e4deab1443a481033e9b4c93a3044f4f7a",
244 "df82220fc7a4021549165325725f94c3410ddb56c54e161fc9ef62ee",
247 "26959946667150639794667015087019625940457807714424391721682722368050",
248 "ef53b6294aca431f0f3c22dc82eb9050324f1d88d377e716448e507c",
249 "df4aefffbf6d1699c930481cd102127c9a3d992048ab05929b6e5927",
252 "26959946667150639794667015087019625940457807714424391721682722368051",
253 "aea9e17a306517eb89152aa7096d2c381ec813c51aa880e7bee2c0fd",
254 "c644cf154cc81f5ade49345e541b4d4b5c1adb3eb5c01c14ee949aa2",
257 "26959946667150639794667015087019625940457807714424391721682722368052",
258 "2fdcccfee720a77ef6cb3bfbb447f9383117e3daa4a07e36ed15f78d",
259 "c8e8cd1b0be40b0877cfca1958603122f1e6914f84b7e8e968ae8b9e",
262 "26959946667150639794667015087019625940457807714424391721682722368053",
263 "858e6f9cc6c12c31f5df124aa77767b05c8bc021bd683d2b55571550",
264 "fb9232c15a3bc7673a3a03b0253824c53d0fd1411b1cabe2e187fb87",
267 "26959946667150639794667015087019625940457807714424391721682722368054",
268 "db2f6be630e246a5cf7d99b85194b123d487e2d466b94b24a03c3e28",
269 "f0c5cff7ab680d09ee11dae84e9c1072ac48ea2e744b1b7f72fd469e",
272 "26959946667150639794667015087019625940457807714424391721682722368055",
273 "1f2483f82572251fca975fea40db821df8ad82a3c002ee6c57112408",
274 "76050f3348af2664aac3a8b05281304ebc7a7914c6ad50a4b4eac383",
277 "26959946667150639794667015087019625940457807714424391721682722368056",
278 "31c49ae75bce7807cdff22055d94ee9021fedbb5ab51c57526f011aa",
279 "d817400e8ba9ca13a45f360e3d121eaaeb39af82d6001c8186f5f866",
282 "26959946667150639794667015087019625940457807714424391721682722368057",
283 "ae99feebb5d26945b54892092a8aee02912930fa41cd114e40447301",
284 "fb7da7f5f13a43b81774373c879cd32d6934c05fa758eeb14fcfab38",
287 "26959946667150639794667015087019625940457807714424391721682722368058",
288 "df1b1d66a551d0d31eff822558b9d2cc75c2180279fe0d08fd896d04",
289 "5c080fc3522f41bbb3f55a97cfecf21f882ce8cbb1e50ca6e67e56dc",
292 "26959946667150639794667015087019625940457807714424391721682722368059",
293 "706a46dc76dcb76798e60e6d89474788d16dc18032d268fd1a704fa6",
294 "e3d4895843da188fd58fb0567976d7b50359d6b78530c8f62d1b1746",
297 "26959946667150639794667015087019625940457807714424391721682722368060",
298 "b70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21",
299 "42c89c774a08dc04b3dd201932bc8a5ea5f8b89bbb2a7e667aff81cd",
303 type scalarMultTest
struct {
309 var p256MultTests
= []scalarMultTest
{
311 "2a265f8bcbdcaf94d58519141e578124cb40d64a501fba9c11847b28965bc737",
312 "023819813ac969847059028ea88a1f30dfbcde03fc791d3a252c6b41211882ea",
313 "f93e4ae433cc12cf2a43fc0ef26400c0e125508224cdb649380f25479148a4ad",
314 "4d4de80f1534850d261075997e3049321a0864082d24a917863366c0724f5ae3",
315 "a22d2b7f7818a3563e0f7a76c9bf0921ac55e06e2e4d11795b233824b1db8cc0",
318 "313f72ff9fe811bf573176231b286a3bdb6f1b14e05c40146590727a71c3bccd",
319 "cc11887b2d66cbae8f4d306627192522932146b42f01d3c6f92bd5c8ba739b06",
320 "a2f08a029cd06b46183085bae9248b0ed15b70280c7ef13a457f5af382426031",
321 "831c3f6b5f762d2f461901577af41354ac5f228c2591f84f8a6e51e2e3f17991",
322 "93f90934cd0ef2c698cc471c60a93524e87ab31ca2412252337f364513e43684",
326 func TestBaseMult(t
*testing
.T
) {
328 for i
, e
:= range p224BaseMultTests
{
329 k
, ok
:= new(big
.Int
).SetString(e
.k
, 10)
331 t
.Errorf("%d: bad value for k: %s", i
, e
.k
)
333 x
, y
:= p224
.ScalarBaseMult(k
.Bytes())
334 if fmt
.Sprintf("%x", x
) != e
.x || fmt
.Sprintf("%x", y
) != e
.y
{
335 t
.Errorf("%d: bad output for k=%s: got (%x, %x), want (%s, %s)", i
, e
.k
, x
, y
, e
.x
, e
.y
)
337 if testing
.Short() && i
> 5 {
343 func TestGenericBaseMult(t
*testing
.T
) {
344 // We use the P224 CurveParams directly in order to test the generic implementation.
345 p224
:= P224().Params()
346 for i
, e
:= range p224BaseMultTests
{
347 k
, ok
:= new(big
.Int
).SetString(e
.k
, 10)
349 t
.Errorf("%d: bad value for k: %s", i
, e
.k
)
351 x
, y
:= p224
.ScalarBaseMult(k
.Bytes())
352 if fmt
.Sprintf("%x", x
) != e
.x || fmt
.Sprintf("%x", y
) != e
.y
{
353 t
.Errorf("%d: bad output for k=%s: got (%x, %x), want (%s, %s)", i
, e
.k
, x
, y
, e
.x
, e
.y
)
355 if testing
.Short() && i
> 5 {
361 func TestP256BaseMult(t
*testing
.T
) {
363 p256Generic
:= p256
.Params()
365 scalars
:= make([]*big
.Int
, 0, len(p224BaseMultTests
)+1)
366 for _
, e
:= range p224BaseMultTests
{
367 k
, _
:= new(big
.Int
).SetString(e
.k
, 10)
368 scalars
= append(scalars
, k
)
370 k
:= new(big
.Int
).SetInt64(1)
372 scalars
= append(scalars
, k
)
374 for i
, k
:= range scalars
{
375 x
, y
:= p256
.ScalarBaseMult(k
.Bytes())
376 x2
, y2
:= p256Generic
.ScalarBaseMult(k
.Bytes())
377 if x
.Cmp(x2
) != 0 || y
.Cmp(y2
) != 0 {
378 t
.Errorf("#%d: got (%x, %x), want (%x, %x)", i
, x
, y
, x2
, y2
)
381 if testing
.Short() && i
> 5 {
387 func TestP256Mult(t
*testing
.T
) {
389 p256Generic
:= p256
.Params()
391 for i
, e
:= range p224BaseMultTests
{
392 x
, _
:= new(big
.Int
).SetString(e
.x
, 16)
393 y
, _
:= new(big
.Int
).SetString(e
.y
, 16)
394 k
, _
:= new(big
.Int
).SetString(e
.k
, 10)
396 xx
, yy
:= p256
.ScalarMult(x
, y
, k
.Bytes())
397 xx2
, yy2
:= p256Generic
.ScalarMult(x
, y
, k
.Bytes())
398 if xx
.Cmp(xx2
) != 0 || yy
.Cmp(yy2
) != 0 {
399 t
.Errorf("#%d: got (%x, %x), want (%x, %x)", i
, xx
, yy
, xx2
, yy2
)
401 if testing
.Short() && i
> 5 {
406 for i
, e
:= range p256MultTests
{
407 x
, _
:= new(big
.Int
).SetString(e
.xIn
, 16)
408 y
, _
:= new(big
.Int
).SetString(e
.yIn
, 16)
409 k
, _
:= new(big
.Int
).SetString(e
.k
, 16)
410 expectedX
, _
:= new(big
.Int
).SetString(e
.xOut
, 16)
411 expectedY
, _
:= new(big
.Int
).SetString(e
.yOut
, 16)
413 xx
, yy
:= p256
.ScalarMult(x
, y
, k
.Bytes())
414 if xx
.Cmp(expectedX
) != 0 || yy
.Cmp(expectedY
) != 0 {
415 t
.Errorf("#%d: got (%x, %x), want (%x, %x)", i
, xx
, yy
, expectedX
, expectedY
)
420 func TestInfinity(t
*testing
.T
) {
429 for _
, test
:= range tests
{
431 x
, y
:= curve
.ScalarBaseMult(nil)
432 if x
.Sign() != 0 || y
.Sign() != 0 {
433 t
.Errorf("%s: x^0 != ∞", test
.name
)
438 x2
, y2
:= curve
.Double(x
, y
)
439 if x2
.Sign() != 0 || y2
.Sign() != 0 {
440 t
.Errorf("%s: 2∞ != ∞", test
.name
)
443 baseX
:= curve
.Params().Gx
444 baseY
:= curve
.Params().Gy
446 x3
, y3
:= curve
.Add(baseX
, baseY
, x
, y
)
447 if x3
.Cmp(baseX
) != 0 || y3
.Cmp(baseY
) != 0 {
448 t
.Errorf("%s: x+∞ != x", test
.name
)
451 x4
, y4
:= curve
.Add(x
, y
, baseX
, baseY
)
452 if x4
.Cmp(baseX
) != 0 || y4
.Cmp(baseY
) != 0 {
453 t
.Errorf("%s: ∞+x != x", test
.name
)
458 type synthCombinedMult
struct {
462 func (s synthCombinedMult
) CombinedMult(bigX
, bigY
*big
.Int
, baseScalar
, scalar
[]byte) (x
, y
*big
.Int
) {
463 x1
, y1
:= s
.ScalarBaseMult(baseScalar
)
464 x2
, y2
:= s
.ScalarMult(bigX
, bigY
, scalar
)
465 return s
.Add(x1
, y1
, x2
, y2
)
468 func TestCombinedMult(t
*testing
.T
) {
469 type combinedMult
interface {
471 CombinedMult(bigX
, bigY
*big
.Int
, baseScalar
, scalar
[]byte) (x
, y
*big
.Int
)
474 p256
, ok
:= P256().(combinedMult
)
476 p256
= &synthCombinedMult
{P256()}
479 gx
:= p256
.Params().Gx
480 gy
:= p256
.Params().Gy
482 zero
:= make([]byte, 32)
483 one
:= make([]byte, 32)
485 two
:= make([]byte, 32)
489 x
, y
:= p256
.CombinedMult(gx
, gy
, zero
, zero
)
490 if x
.Sign() != 0 || y
.Sign() != 0 {
491 t
.Errorf("0×G + 0×G = (%d, %d), should be ∞", x
, y
)
495 x
, y
= p256
.CombinedMult(gx
, gy
, one
, zero
)
496 if x
.Cmp(gx
) != 0 || y
.Cmp(gy
) != 0 {
497 t
.Errorf("1×G + 0×G = (%d, %d), should be (%d, %d)", x
, y
, gx
, gy
)
501 x
, y
= p256
.CombinedMult(gx
, gy
, zero
, one
)
502 if x
.Cmp(gx
) != 0 || y
.Cmp(gy
) != 0 {
503 t
.Errorf("0×G + 1×G = (%d, %d), should be (%d, %d)", x
, y
, gx
, gy
)
507 x
, y
= p256
.CombinedMult(gx
, gy
, one
, one
)
508 ggx
, ggy
:= p256
.ScalarBaseMult(two
)
509 if x
.Cmp(ggx
) != 0 || y
.Cmp(ggy
) != 0 {
510 t
.Errorf("1×G + 1×G = (%d, %d), should be (%d, %d)", x
, y
, ggx
, ggy
)
513 minusOne
:= new(big
.Int
).Sub(p256
.Params().N
, big
.NewInt(1))
515 x
, y
= p256
.CombinedMult(gx
, gy
, one
, minusOne
.Bytes())
516 if x
.Sign() != 0 || y
.Sign() != 0 {
517 t
.Errorf("1×G + (-1)×G = (%d, %d), should be ∞", x
, y
)
521 func BenchmarkBaseMult(b
*testing
.B
) {
524 e
:= p224BaseMultTests
[25]
525 k
, _
:= new(big
.Int
).SetString(e
.k
, 10)
528 b
.RunParallel(func(pb
*testing
.PB
) {
530 p224
.ScalarBaseMult(k
.Bytes())
535 func BenchmarkBaseMultP256(b
*testing
.B
) {
538 e
:= p224BaseMultTests
[25]
539 k
, _
:= new(big
.Int
).SetString(e
.k
, 10)
542 b
.RunParallel(func(pb
*testing
.PB
) {
544 p256
.ScalarBaseMult(k
.Bytes())
549 func BenchmarkScalarMultP256(b
*testing
.B
) {
552 _
, x
, y
, _
:= GenerateKey(p256
, rand
.Reader
)
553 priv
, _
, _
, _
:= GenerateKey(p256
, rand
.Reader
)
557 b
.RunParallel(func(pb
*testing
.PB
) {
559 p256
.ScalarMult(x
, y
, priv
)
564 func TestMarshal(t
*testing
.T
) {
566 _
, x
, y
, err
:= GenerateKey(p224
, rand
.Reader
)
571 serialized
:= Marshal(p224
, x
, y
)
572 xx
, yy
:= Unmarshal(p224
, serialized
)
574 t
.Error("failed to unmarshal")
577 if xx
.Cmp(x
) != 0 || yy
.Cmp(y
) != 0 {
578 t
.Error("unmarshal returned different values")
583 func TestP224Overflow(t
*testing
.T
) {
584 // This tests for a specific bug in the P224 implementation.
586 pointData
, _
:= hex
.DecodeString("049B535B45FB0A2072398A6831834624C7E32CCFD5A4B933BCEAF77F1DD945E08BBE5178F5EDF5E733388F196D2A631D2E075BB16CBFEEA15B")
587 x
, y
:= Unmarshal(p224
, pointData
)
588 if !p224
.IsOnCurve(x
, y
) {
589 t
.Error("P224 failed to validate a correct point")
593 // See https://golang.org/issues/20482
594 func TestUnmarshalToLargeCoordinates(t
*testing
.T
) {
596 p
:= curve
.Params().P
598 invalidX
, invalidY
:= make([]byte, 65), make([]byte, 65)
599 invalidX
[0], invalidY
[0] = 4, 4 // uncompressed encoding
601 // Set x to be greater than curve's parameter P – specifically, to P+5.
602 // Set y to mod_sqrt(x^3 - 3x + B)) so that (x mod P = 5 , y) is on the
604 x
:= new(big
.Int
).Add(p
, big
.NewInt(5))
605 y
, _
:= new(big
.Int
).SetString("31468013646237722594854082025316614106172411895747863909393730389177298123724", 10)
607 copy(invalidX
[1:], x
.Bytes())
608 copy(invalidX
[33:], y
.Bytes())
610 if X
, Y
:= Unmarshal(curve
, invalidX
); X
!= nil || Y
!= nil {
611 t
.Errorf("Unmarshal accepts invalid X coordinate")
614 // This is a point on the curve with a small y value, small enough that we can add p and still be within 32 bytes.
615 x
, _
= new(big
.Int
).SetString("31931927535157963707678568152204072984517581467226068221761862915403492091210", 10)
616 y
, _
= new(big
.Int
).SetString("5208467867388784005506817585327037698770365050895731383201516607147", 10)
619 if p
.Cmp(y
) > 0 || y
.BitLen() != 256 {
620 t
.Fatal("y not within expected range")
624 copy(invalidY
[1:], x
.Bytes())
625 copy(invalidY
[33:], y
.Bytes())
627 if X
, Y
:= Unmarshal(curve
, invalidY
); X
!= nil || Y
!= nil {
628 t
.Errorf("Unmarshal accepts invalid Y coordinate")