p224_test.go

     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  
     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  	// 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  
   317  func 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
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