1
2
3
4
5 package elliptic
6
7 import (
8 "encoding/hex"
9 "fmt"
10 "math/big"
11 "math/bits"
12 "math/rand"
13 "reflect"
14 "testing"
15 "testing/quick"
16 )
17
18 var toFromBigTests = []string{
19 "0",
20 "1",
21 "23",
22 "b70e0cb46bb4bf7f321390b94a03c1d356c01122343280d6105c1d21",
23 "706a46d476dcb76798e6046d89474788d164c18032d268fd10704fa6",
24 }
25
26 func p224AlternativeToBig(in *p224FieldElement) *big.Int {
27 ret := new(big.Int)
28 tmp := new(big.Int)
29
30 for i := len(in) - 1; i >= 0; i-- {
31 ret.Lsh(ret, 28)
32 tmp.SetInt64(int64(in[i]))
33 ret.Add(ret, tmp)
34 }
35 ret.Mod(ret, P224().Params().P)
36 return ret
37 }
38
39 func TestP224ToFromBig(t *testing.T) {
40 for i, test := range toFromBigTests {
41 n, _ := new(big.Int).SetString(test, 16)
42 var x p224FieldElement
43 p224FromBig(&x, n)
44 m := p224ToBig(&x)
45 if n.Cmp(m) != 0 {
46 t.Errorf("#%d: %x != %x", i, n, m)
47 }
48 q := p224AlternativeToBig(&x)
49 if n.Cmp(q) != 0 {
50 t.Errorf("#%d: %x != %x (alternative)", i, n, q)
51 }
52 }
53 }
54
55
56
57 var quickCheckConfig32 = &quick.Config{MaxCountScale: 32}
58
59
60 var weirdLimbs = [...]uint32{
61 0, 1, (1 << 29) - 1,
62 (1 << 12), (1 << 12) - 1,
63 (1 << 28), (1 << 28) - 1,
64 }
65
66 func generateLimb(rand *rand.Rand) uint32 {
67 const bottom29Bits = 0x1fffffff
68 n := rand.Intn(len(weirdLimbs) + 3)
69 switch n {
70 case len(weirdLimbs):
71
72 return uint32(rand.Int31n(1 << 29))
73 case len(weirdLimbs) + 1:
74
75 k := generateLimb(rand) + generateLimb(rand)
76 return k & bottom29Bits
77 case len(weirdLimbs) + 2:
78
79 k := generateLimb(rand) - generateLimb(rand)
80 return k & bottom29Bits
81 default:
82 return weirdLimbs[n]
83 }
84 }
85
86 func (p224FieldElement) Generate(rand *rand.Rand, size int) reflect.Value {
87 return reflect.ValueOf(p224FieldElement{
88 generateLimb(rand),
89 generateLimb(rand),
90 generateLimb(rand),
91 generateLimb(rand),
92 generateLimb(rand),
93 generateLimb(rand),
94 generateLimb(rand),
95 generateLimb(rand),
96 })
97 }
98
99 func isInBounds(x *p224FieldElement) bool {
100 return bits.Len32(x[0]) <= 29 &&
101 bits.Len32(x[1]) <= 29 &&
102 bits.Len32(x[2]) <= 29 &&
103 bits.Len32(x[3]) <= 29 &&
104 bits.Len32(x[4]) <= 29 &&
105 bits.Len32(x[5]) <= 29 &&
106 bits.Len32(x[6]) <= 29 &&
107 bits.Len32(x[7]) <= 29
108 }
109
110 func TestP224Mul(t *testing.T) {
111 mulMatchesBigInt := func(a, b, out p224FieldElement) bool {
112 var tmp p224LargeFieldElement
113 p224Mul(&out, &a, &b, &tmp)
114
115 exp := new(big.Int).Mul(p224AlternativeToBig(&a), p224AlternativeToBig(&b))
116 exp.Mod(exp, P224().Params().P)
117 got := p224AlternativeToBig(&out)
118 if exp.Cmp(got) != 0 || !isInBounds(&out) {
119 t.Logf("a = %x", a)
120 t.Logf("b = %x", b)
121 t.Logf("p224Mul(a, b) = %x = %v", out, got)
122 t.Logf("a * b = %v", exp)
123 return false
124 }
125
126 return true
127 }
128
129 a := p224FieldElement{0xfffffff, 0xfffffff, 0xf00ffff, 0x20f, 0x0, 0x0, 0x0, 0x0}
130 b := p224FieldElement{1, 0, 0, 0, 0, 0, 0, 0}
131 if !mulMatchesBigInt(a, b, p224FieldElement{}) {
132 t.Fail()
133 }
134
135 if err := quick.Check(mulMatchesBigInt, quickCheckConfig32); err != nil {
136 t.Error(err)
137 }
138 }
139
140 func TestP224Square(t *testing.T) {
141 squareMatchesBigInt := func(a, out p224FieldElement) bool {
142 var tmp p224LargeFieldElement
143 p224Square(&out, &a, &tmp)
144
145 exp := p224AlternativeToBig(&a)
146 exp.Mul(exp, exp)
147 exp.Mod(exp, P224().Params().P)
148 got := p224AlternativeToBig(&out)
149 if exp.Cmp(got) != 0 || !isInBounds(&out) {
150 t.Logf("a = %x", a)
151 t.Logf("p224Square(a, b) = %x = %v", out, got)
152 t.Logf("a * a = %v", exp)
153 return false
154 }
155
156 return true
157 }
158
159 if err := quick.Check(squareMatchesBigInt, quickCheckConfig32); err != nil {
160 t.Error(err)
161 }
162 }
163
164 func TestP224Add(t *testing.T) {
165 addMatchesBigInt := func(a, b, out p224FieldElement) bool {
166 p224Add(&out, &a, &b)
167
168 exp := new(big.Int).Add(p224AlternativeToBig(&a), p224AlternativeToBig(&b))
169 exp.Mod(exp, P224().Params().P)
170 got := p224AlternativeToBig(&out)
171 if exp.Cmp(got) != 0 {
172 t.Logf("a = %x", a)
173 t.Logf("b = %x", b)
174 t.Logf("p224Add(a, b) = %x = %v", out, got)
175 t.Logf("a + b = %v", exp)
176 return false
177 }
178
179 return true
180 }
181
182 if err := quick.Check(addMatchesBigInt, quickCheckConfig32); err != nil {
183 t.Error(err)
184 }
185 }
186
187 func TestP224Reduce(t *testing.T) {
188 reduceMatchesBigInt := func(a p224FieldElement) bool {
189 out := a
190
191
192 p224Reduce(&out)
193
194 exp := p224AlternativeToBig(&a)
195 got := p224AlternativeToBig(&out)
196 if exp.Cmp(got) != 0 || !isInBounds(&out) {
197 t.Logf("a = %x = %v", a, exp)
198 t.Logf("p224Reduce(a) = %x = %v", out, got)
199 return false
200 }
201
202 return true
203 }
204
205 if err := quick.Check(reduceMatchesBigInt, quickCheckConfig32); err != nil {
206 t.Error(err)
207 }
208 }
209
210 func TestP224Contract(t *testing.T) {
211 contractMatchesBigInt := func(a, out p224FieldElement) bool {
212 p224Contract(&out, &a)
213
214 exp := p224AlternativeToBig(&a)
215 got := p224AlternativeToBig(&out)
216 if exp.Cmp(got) != 0 {
217 t.Logf("a = %x = %v", a, exp)
218 t.Logf("p224Contract(a) = %x = %v", out, got)
219 return false
220 }
221
222
223 for i := range p224P {
224 k := 8 - i - 1
225 if out[k] > p224P[k] {
226 t.Logf("p224Contract(a) = %x", out)
227 return false
228 }
229 if out[k] < p224P[k] {
230 return true
231 }
232 }
233 t.Logf("p224Contract(a) = %x", out)
234 return false
235 }
236
237 if !contractMatchesBigInt(p224P, p224FieldElement{}) {
238 t.Error("p224Contract(p) is broken")
239 }
240 pMinus1 := p224FieldElement{0, 0, 0, 0xffff000, 0xfffffff, 0xfffffff, 0xfffffff, 0xfffffff}
241 if !contractMatchesBigInt(pMinus1, p224FieldElement{}) {
242 t.Error("p224Contract(p - 1) is broken")
243 }
244
245 a := p224FieldElement{0, 1, 0, 0xffff000, 0xfffffff, 0xfffffff, 0xfffffff, 0xfffffff}
246 if !contractMatchesBigInt(a, p224FieldElement{}) {
247 t.Error("p224Contract(p + 2²⁸) is broken")
248 }
249
250 b := p224FieldElement{0, 0, 0, 0xffff001, 0xfffffff, 0xfffffff, 0xfffffff, 0xfffffff}
251 if !contractMatchesBigInt(b, p224FieldElement{}) {
252 t.Error("p224Contract(p + 2⁸⁴) is broken")
253 }
254
255 if err := quick.Check(contractMatchesBigInt, quickCheckConfig32); err != nil {
256 t.Error(err)
257 }
258 }
259
260 func TestP224IsZero(t *testing.T) {
261 if got := p224IsZero(&p224FieldElement{}); got != 1 {
262 t.Errorf("p224IsZero(0) = %d, expected 1", got)
263 }
264 if got := p224IsZero((*p224FieldElement)(&p224P)); got != 1 {
265 t.Errorf("p224IsZero(p) = %d, expected 1", got)
266 }
267 if got := p224IsZero(&p224FieldElement{1}); got != 0 {
268 t.Errorf("p224IsZero(1) = %d, expected 0", got)
269 }
270
271 isZeroMatchesBigInt := func(a p224FieldElement) bool {
272 isZero := p224IsZero(&a)
273
274 big := p224AlternativeToBig(&a)
275 if big.Sign() == 0 && isZero != 1 {
276 return false
277 }
278 if big.Sign() != 0 && isZero != 0 {
279 return false
280 }
281 return true
282 }
283
284 if err := quick.Check(isZeroMatchesBigInt, quickCheckConfig32); err != nil {
285 t.Error(err)
286 }
287 }
288
289 func TestP224Invert(t *testing.T) {
290 var out p224FieldElement
291
292 p224Invert(&out, &p224FieldElement{})
293 if got := p224IsZero(&out); got != 1 {
294 t.Errorf("p224Invert(0) = %x, expected 0", out)
295 }
296
297 p224Invert(&out, (*p224FieldElement)(&p224P))
298 if got := p224IsZero(&out); got != 1 {
299 t.Errorf("p224Invert(p) = %x, expected 0", out)
300 }
301
302 p224Invert(&out, &p224FieldElement{1})
303 p224Contract(&out, &out)
304 if out != (p224FieldElement{1}) {
305 t.Errorf("p224Invert(1) = %x, expected 1", out)
306 }
307
308 var tmp p224LargeFieldElement
309 a := p224FieldElement{1, 2, 3, 4, 5, 6, 7, 8}
310 p224Invert(&out, &a)
311 p224Mul(&out, &out, &a, &tmp)
312 p224Contract(&out, &out)
313 if out != (p224FieldElement{1}) {
314 t.Errorf("p224Invert(a) * a = %x, expected 1", out)
315 }
316 }
317
318 type baseMultTest struct {
319 k string
320 x, y string
321 }
322
323 var p224BaseMultTests = []baseMultTest{
324 {
325 "1",
326 "b70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21",
327 "bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34",
328 },
329 {
330 "2",
331 "706a46dc76dcb76798e60e6d89474788d16dc18032d268fd1a704fa6",
332 "1c2b76a7bc25e7702a704fa986892849fca629487acf3709d2e4e8bb",
333 },
334 {
335 "3",
336 "df1b1d66a551d0d31eff822558b9d2cc75c2180279fe0d08fd896d04",
337 "a3f7f03cadd0be444c0aa56830130ddf77d317344e1af3591981a925",
338 },
339 {
340 "4",
341 "ae99feebb5d26945b54892092a8aee02912930fa41cd114e40447301",
342 "482580a0ec5bc47e88bc8c378632cd196cb3fa058a7114eb03054c9",
343 },
344 {
345 "5",
346 "31c49ae75bce7807cdff22055d94ee9021fedbb5ab51c57526f011aa",
347 "27e8bff1745635ec5ba0c9f1c2ede15414c6507d29ffe37e790a079b",
348 },
349 {
350 "6",
351 "1f2483f82572251fca975fea40db821df8ad82a3c002ee6c57112408",
352 "89faf0ccb750d99b553c574fad7ecfb0438586eb3952af5b4b153c7e",
353 },
354 {
355 "7",
356 "db2f6be630e246a5cf7d99b85194b123d487e2d466b94b24a03c3e28",
357 "f3a30085497f2f611ee2517b163ef8c53b715d18bb4e4808d02b963",
358 },
359 {
360 "8",
361 "858e6f9cc6c12c31f5df124aa77767b05c8bc021bd683d2b55571550",
362 "46dcd3ea5c43898c5c5fc4fdac7db39c2f02ebee4e3541d1e78047a",
363 },
364 {
365 "9",
366 "2fdcccfee720a77ef6cb3bfbb447f9383117e3daa4a07e36ed15f78d",
367 "371732e4f41bf4f7883035e6a79fcedc0e196eb07b48171697517463",
368 },
369 {
370 "10",
371 "aea9e17a306517eb89152aa7096d2c381ec813c51aa880e7bee2c0fd",
372 "39bb30eab337e0a521b6cba1abe4b2b3a3e524c14a3fe3eb116b655f",
373 },
374 {
375 "11",
376 "ef53b6294aca431f0f3c22dc82eb9050324f1d88d377e716448e507c",
377 "20b510004092e96636cfb7e32efded8265c266dfb754fa6d6491a6da",
378 },
379 {
380 "12",
381 "6e31ee1dc137f81b056752e4deab1443a481033e9b4c93a3044f4f7a",
382 "207dddf0385bfdeab6e9acda8da06b3bbef224a93ab1e9e036109d13",
383 },
384 {
385 "13",
386 "34e8e17a430e43289793c383fac9774247b40e9ebd3366981fcfaeca",
387 "252819f71c7fb7fbcb159be337d37d3336d7feb963724fdfb0ecb767",
388 },
389 {
390 "14",
391 "a53640c83dc208603ded83e4ecf758f24c357d7cf48088b2ce01e9fa",
392 "d5814cd724199c4a5b974a43685fbf5b8bac69459c9469bc8f23ccaf",
393 },
394 {
395 "15",
396 "baa4d8635511a7d288aebeedd12ce529ff102c91f97f867e21916bf9",
397 "979a5f4759f80f4fb4ec2e34f5566d595680a11735e7b61046127989",
398 },
399 {
400 "16",
401 "b6ec4fe1777382404ef679997ba8d1cc5cd8e85349259f590c4c66d",
402 "3399d464345906b11b00e363ef429221f2ec720d2f665d7dead5b482",
403 },
404 {
405 "17",
406 "b8357c3a6ceef288310e17b8bfeff9200846ca8c1942497c484403bc",
407 "ff149efa6606a6bd20ef7d1b06bd92f6904639dce5174db6cc554a26",
408 },
409 {
410 "18",
411 "c9ff61b040874c0568479216824a15eab1a838a797d189746226e4cc",
412 "ea98d60e5ffc9b8fcf999fab1df7e7ef7084f20ddb61bb045a6ce002",
413 },
414 {
415 "19",
416 "a1e81c04f30ce201c7c9ace785ed44cc33b455a022f2acdbc6cae83c",
417 "dcf1f6c3db09c70acc25391d492fe25b4a180babd6cea356c04719cd",
418 },
419 {
420 "20",
421 "fcc7f2b45df1cd5a3c0c0731ca47a8af75cfb0347e8354eefe782455",
422 "d5d7110274cba7cdee90e1a8b0d394c376a5573db6be0bf2747f530",
423 },
424 {
425 "112233445566778899",
426 "61f077c6f62ed802dad7c2f38f5c67f2cc453601e61bd076bb46179e",
427 "2272f9e9f5933e70388ee652513443b5e289dd135dcc0d0299b225e4",
428 },
429 {
430 "112233445566778899112233445566778899",
431 "29895f0af496bfc62b6ef8d8a65c88c613949b03668aab4f0429e35",
432 "3ea6e53f9a841f2019ec24bde1a75677aa9b5902e61081c01064de93",
433 },
434 {
435 "6950511619965839450988900688150712778015737983940691968051900319680",
436 "ab689930bcae4a4aa5f5cb085e823e8ae30fd365eb1da4aba9cf0379",
437 "3345a121bbd233548af0d210654eb40bab788a03666419be6fbd34e7",
438 },
439 {
440 "13479972933410060327035789020509431695094902435494295338570602119423",
441 "bdb6a8817c1f89da1c2f3dd8e97feb4494f2ed302a4ce2bc7f5f4025",
442 "4c7020d57c00411889462d77a5438bb4e97d177700bf7243a07f1680",
443 },
444 {
445 "13479971751745682581351455311314208093898607229429740618390390702079",
446 "d58b61aa41c32dd5eba462647dba75c5d67c83606c0af2bd928446a9",
447 "d24ba6a837be0460dd107ae77725696d211446c5609b4595976b16bd",
448 },
449 {
450 "13479972931865328106486971546324465392952975980343228160962702868479",
451 "dc9fa77978a005510980e929a1485f63716df695d7a0c18bb518df03",
452 "ede2b016f2ddffc2a8c015b134928275ce09e5661b7ab14ce0d1d403",
453 },
454 {
455 "11795773708834916026404142434151065506931607341523388140225443265536",
456 "499d8b2829cfb879c901f7d85d357045edab55028824d0f05ba279ba",
457 "bf929537b06e4015919639d94f57838fa33fc3d952598dcdbb44d638",
458 },
459 {
460 "784254593043826236572847595991346435467177662189391577090",
461 "8246c999137186632c5f9eddf3b1b0e1764c5e8bd0e0d8a554b9cb77",
462 "e80ed8660bc1cb17ac7d845be40a7a022d3306f116ae9f81fea65947",
463 },
464 {
465 "13479767645505654746623887797783387853576174193480695826442858012671",
466 "6670c20afcceaea672c97f75e2e9dd5c8460e54bb38538ebb4bd30eb",
467 "f280d8008d07a4caf54271f993527d46ff3ff46fd1190a3f1faa4f74",
468 },
469 {
470 "205688069665150753842126177372015544874550518966168735589597183",
471 "eca934247425cfd949b795cb5ce1eff401550386e28d1a4c5a8eb",
472 "d4c01040dba19628931bc8855370317c722cbd9ca6156985f1c2e9ce",
473 },
474 {
475 "13479966930919337728895168462090683249159702977113823384618282123295",
476 "ef353bf5c73cd551b96d596fbc9a67f16d61dd9fe56af19de1fba9cd",
477 "21771b9cdce3e8430c09b3838be70b48c21e15bc09ee1f2d7945b91f",
478 },
479 {
480 "50210731791415612487756441341851895584393717453129007497216",
481 "4036052a3091eb481046ad3289c95d3ac905ca0023de2c03ecd451cf",
482 "d768165a38a2b96f812586a9d59d4136035d9c853a5bf2e1c86a4993",
483 },
484 {
485 "26959946667150639794667015087019625940457807714424391721682722368041",
486 "fcc7f2b45df1cd5a3c0c0731ca47a8af75cfb0347e8354eefe782455",
487 "f2a28eefd8b345832116f1e574f2c6b2c895aa8c24941f40d8b80ad1",
488 },
489 {
490 "26959946667150639794667015087019625940457807714424391721682722368042",
491 "a1e81c04f30ce201c7c9ace785ed44cc33b455a022f2acdbc6cae83c",
492 "230e093c24f638f533dac6e2b6d01da3b5e7f45429315ca93fb8e634",
493 },
494 {
495 "26959946667150639794667015087019625940457807714424391721682722368043",
496 "c9ff61b040874c0568479216824a15eab1a838a797d189746226e4cc",
497 "156729f1a003647030666054e208180f8f7b0df2249e44fba5931fff",
498 },
499 {
500 "26959946667150639794667015087019625940457807714424391721682722368044",
501 "b8357c3a6ceef288310e17b8bfeff9200846ca8c1942497c484403bc",
502 "eb610599f95942df1082e4f9426d086fb9c6231ae8b24933aab5db",
503 },
504 {
505 "26959946667150639794667015087019625940457807714424391721682722368045",
506 "b6ec4fe1777382404ef679997ba8d1cc5cd8e85349259f590c4c66d",
507 "cc662b9bcba6f94ee4ff1c9c10bd6ddd0d138df2d099a282152a4b7f",
508 },
509 {
510 "26959946667150639794667015087019625940457807714424391721682722368046",
511 "baa4d8635511a7d288aebeedd12ce529ff102c91f97f867e21916bf9",
512 "6865a0b8a607f0b04b13d1cb0aa992a5a97f5ee8ca1849efb9ed8678",
513 },
514 {
515 "26959946667150639794667015087019625940457807714424391721682722368047",
516 "a53640c83dc208603ded83e4ecf758f24c357d7cf48088b2ce01e9fa",
517 "2a7eb328dbe663b5a468b5bc97a040a3745396ba636b964370dc3352",
518 },
519 {
520 "26959946667150639794667015087019625940457807714424391721682722368048",
521 "34e8e17a430e43289793c383fac9774247b40e9ebd3366981fcfaeca",
522 "dad7e608e380480434ea641cc82c82cbc92801469c8db0204f13489a",
523 },
524 {
525 "26959946667150639794667015087019625940457807714424391721682722368049",
526 "6e31ee1dc137f81b056752e4deab1443a481033e9b4c93a3044f4f7a",
527 "df82220fc7a4021549165325725f94c3410ddb56c54e161fc9ef62ee",
528 },
529 {
530 "26959946667150639794667015087019625940457807714424391721682722368050",
531 "ef53b6294aca431f0f3c22dc82eb9050324f1d88d377e716448e507c",
532 "df4aefffbf6d1699c930481cd102127c9a3d992048ab05929b6e5927",
533 },
534 {
535 "26959946667150639794667015087019625940457807714424391721682722368051",
536 "aea9e17a306517eb89152aa7096d2c381ec813c51aa880e7bee2c0fd",
537 "c644cf154cc81f5ade49345e541b4d4b5c1adb3eb5c01c14ee949aa2",
538 },
539 {
540 "26959946667150639794667015087019625940457807714424391721682722368052",
541 "2fdcccfee720a77ef6cb3bfbb447f9383117e3daa4a07e36ed15f78d",
542 "c8e8cd1b0be40b0877cfca1958603122f1e6914f84b7e8e968ae8b9e",
543 },
544 {
545 "26959946667150639794667015087019625940457807714424391721682722368053",
546 "858e6f9cc6c12c31f5df124aa77767b05c8bc021bd683d2b55571550",
547 "fb9232c15a3bc7673a3a03b0253824c53d0fd1411b1cabe2e187fb87",
548 },
549 {
550 "26959946667150639794667015087019625940457807714424391721682722368054",
551 "db2f6be630e246a5cf7d99b85194b123d487e2d466b94b24a03c3e28",
552 "f0c5cff7ab680d09ee11dae84e9c1072ac48ea2e744b1b7f72fd469e",
553 },
554 {
555 "26959946667150639794667015087019625940457807714424391721682722368055",
556 "1f2483f82572251fca975fea40db821df8ad82a3c002ee6c57112408",
557 "76050f3348af2664aac3a8b05281304ebc7a7914c6ad50a4b4eac383",
558 },
559 {
560 "26959946667150639794667015087019625940457807714424391721682722368056",
561 "31c49ae75bce7807cdff22055d94ee9021fedbb5ab51c57526f011aa",
562 "d817400e8ba9ca13a45f360e3d121eaaeb39af82d6001c8186f5f866",
563 },
564 {
565 "26959946667150639794667015087019625940457807714424391721682722368057",
566 "ae99feebb5d26945b54892092a8aee02912930fa41cd114e40447301",
567 "fb7da7f5f13a43b81774373c879cd32d6934c05fa758eeb14fcfab38",
568 },
569 {
570 "26959946667150639794667015087019625940457807714424391721682722368058",
571 "df1b1d66a551d0d31eff822558b9d2cc75c2180279fe0d08fd896d04",
572 "5c080fc3522f41bbb3f55a97cfecf21f882ce8cbb1e50ca6e67e56dc",
573 },
574 {
575 "26959946667150639794667015087019625940457807714424391721682722368059",
576 "706a46dc76dcb76798e60e6d89474788d16dc18032d268fd1a704fa6",
577 "e3d4895843da188fd58fb0567976d7b50359d6b78530c8f62d1b1746",
578 },
579 {
580 "26959946667150639794667015087019625940457807714424391721682722368060",
581 "b70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21",
582 "42c89c774a08dc04b3dd201932bc8a5ea5f8b89bbb2a7e667aff81cd",
583 },
584 }
585
586 func TestP224BaseMult(t *testing.T) {
587 p224 := P224()
588 for i, e := range p224BaseMultTests {
589 k, ok := new(big.Int).SetString(e.k, 10)
590 if !ok {
591 t.Errorf("%d: bad value for k: %s", i, e.k)
592 }
593 x, y := p224.ScalarBaseMult(k.Bytes())
594 if fmt.Sprintf("%x", x) != e.x || fmt.Sprintf("%x", y) != e.y {
595 t.Errorf("%d: bad output for k=%s: got (%x, %x), want (%s, %s)", i, e.k, x, y, e.x, e.y)
596 }
597 if testing.Short() && i > 5 {
598 break
599 }
600 }
601 }
602
603 func TestP224GenericBaseMult(t *testing.T) {
604
605 p224 := P224().Params()
606 for i, e := range p224BaseMultTests {
607 k, ok := new(big.Int).SetString(e.k, 10)
608 if !ok {
609 t.Errorf("%d: bad value for k: %s", i, e.k)
610 }
611 x, y := p224.ScalarBaseMult(k.Bytes())
612 if fmt.Sprintf("%x", x) != e.x || fmt.Sprintf("%x", y) != e.y {
613 t.Errorf("%d: bad output for k=%s: got (%x, %x), want (%s, %s)", i, e.k, x, y, e.x, e.y)
614 }
615 if testing.Short() && i > 5 {
616 break
617 }
618 }
619 }
620
621 func TestP224Overflow(t *testing.T) {
622
623 p224 := P224()
624 pointData, _ := hex.DecodeString("049B535B45FB0A2072398A6831834624C7E32CCFD5A4B933BCEAF77F1DD945E08BBE5178F5EDF5E733388F196D2A631D2E075BB16CBFEEA15B")
625 x, y := Unmarshal(p224, pointData)
626 if !p224.IsOnCurve(x, y) {
627 t.Error("P224 failed to validate a correct point")
628 }
629 }
630
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