// Copyright 2012 The Go Authors. All rights reserved. // Use of this source code is governed by a BSD-style // license that can be found in the LICENSE file. package elliptic import ( "encoding/hex" "fmt" "math/big" "testing" ) type baseMultTest struct { k string x, y string } var p224BaseMultTests = []baseMultTest{ { "1", "b70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21", "bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34", }, { "2", "706a46dc76dcb76798e60e6d89474788d16dc18032d268fd1a704fa6", "1c2b76a7bc25e7702a704fa986892849fca629487acf3709d2e4e8bb", }, { "3", "df1b1d66a551d0d31eff822558b9d2cc75c2180279fe0d08fd896d04", "a3f7f03cadd0be444c0aa56830130ddf77d317344e1af3591981a925", }, { "4", "ae99feebb5d26945b54892092a8aee02912930fa41cd114e40447301", "482580a0ec5bc47e88bc8c378632cd196cb3fa058a7114eb03054c9", }, { "5", "31c49ae75bce7807cdff22055d94ee9021fedbb5ab51c57526f011aa", "27e8bff1745635ec5ba0c9f1c2ede15414c6507d29ffe37e790a079b", }, { "6", "1f2483f82572251fca975fea40db821df8ad82a3c002ee6c57112408", "89faf0ccb750d99b553c574fad7ecfb0438586eb3952af5b4b153c7e", }, { "7", "db2f6be630e246a5cf7d99b85194b123d487e2d466b94b24a03c3e28", "f3a30085497f2f611ee2517b163ef8c53b715d18bb4e4808d02b963", }, { "8", "858e6f9cc6c12c31f5df124aa77767b05c8bc021bd683d2b55571550", "46dcd3ea5c43898c5c5fc4fdac7db39c2f02ebee4e3541d1e78047a", }, { "9", "2fdcccfee720a77ef6cb3bfbb447f9383117e3daa4a07e36ed15f78d", "371732e4f41bf4f7883035e6a79fcedc0e196eb07b48171697517463", }, { "10", "aea9e17a306517eb89152aa7096d2c381ec813c51aa880e7bee2c0fd", "39bb30eab337e0a521b6cba1abe4b2b3a3e524c14a3fe3eb116b655f", }, { "11", "ef53b6294aca431f0f3c22dc82eb9050324f1d88d377e716448e507c", "20b510004092e96636cfb7e32efded8265c266dfb754fa6d6491a6da", }, { "12", "6e31ee1dc137f81b056752e4deab1443a481033e9b4c93a3044f4f7a", "207dddf0385bfdeab6e9acda8da06b3bbef224a93ab1e9e036109d13", }, { "13", "34e8e17a430e43289793c383fac9774247b40e9ebd3366981fcfaeca", "252819f71c7fb7fbcb159be337d37d3336d7feb963724fdfb0ecb767", }, { "14", "a53640c83dc208603ded83e4ecf758f24c357d7cf48088b2ce01e9fa", "d5814cd724199c4a5b974a43685fbf5b8bac69459c9469bc8f23ccaf", }, { "15", "baa4d8635511a7d288aebeedd12ce529ff102c91f97f867e21916bf9", "979a5f4759f80f4fb4ec2e34f5566d595680a11735e7b61046127989", }, { "16", "b6ec4fe1777382404ef679997ba8d1cc5cd8e85349259f590c4c66d", "3399d464345906b11b00e363ef429221f2ec720d2f665d7dead5b482", }, { "17", "b8357c3a6ceef288310e17b8bfeff9200846ca8c1942497c484403bc", "ff149efa6606a6bd20ef7d1b06bd92f6904639dce5174db6cc554a26", }, { "18", "c9ff61b040874c0568479216824a15eab1a838a797d189746226e4cc", "ea98d60e5ffc9b8fcf999fab1df7e7ef7084f20ddb61bb045a6ce002", }, { "19", "a1e81c04f30ce201c7c9ace785ed44cc33b455a022f2acdbc6cae83c", "dcf1f6c3db09c70acc25391d492fe25b4a180babd6cea356c04719cd", }, { "20", "fcc7f2b45df1cd5a3c0c0731ca47a8af75cfb0347e8354eefe782455", "d5d7110274cba7cdee90e1a8b0d394c376a5573db6be0bf2747f530", }, { "112233445566778899", "61f077c6f62ed802dad7c2f38f5c67f2cc453601e61bd076bb46179e", "2272f9e9f5933e70388ee652513443b5e289dd135dcc0d0299b225e4", }, { "112233445566778899112233445566778899", "29895f0af496bfc62b6ef8d8a65c88c613949b03668aab4f0429e35", "3ea6e53f9a841f2019ec24bde1a75677aa9b5902e61081c01064de93", }, { "6950511619965839450988900688150712778015737983940691968051900319680", "ab689930bcae4a4aa5f5cb085e823e8ae30fd365eb1da4aba9cf0379", "3345a121bbd233548af0d210654eb40bab788a03666419be6fbd34e7", }, { "13479972933410060327035789020509431695094902435494295338570602119423", "bdb6a8817c1f89da1c2f3dd8e97feb4494f2ed302a4ce2bc7f5f4025", "4c7020d57c00411889462d77a5438bb4e97d177700bf7243a07f1680", }, { "13479971751745682581351455311314208093898607229429740618390390702079", "d58b61aa41c32dd5eba462647dba75c5d67c83606c0af2bd928446a9", "d24ba6a837be0460dd107ae77725696d211446c5609b4595976b16bd", }, { "13479972931865328106486971546324465392952975980343228160962702868479", "dc9fa77978a005510980e929a1485f63716df695d7a0c18bb518df03", "ede2b016f2ddffc2a8c015b134928275ce09e5661b7ab14ce0d1d403", }, { "11795773708834916026404142434151065506931607341523388140225443265536", "499d8b2829cfb879c901f7d85d357045edab55028824d0f05ba279ba", "bf929537b06e4015919639d94f57838fa33fc3d952598dcdbb44d638", }, { "784254593043826236572847595991346435467177662189391577090", "8246c999137186632c5f9eddf3b1b0e1764c5e8bd0e0d8a554b9cb77", "e80ed8660bc1cb17ac7d845be40a7a022d3306f116ae9f81fea65947", }, { "13479767645505654746623887797783387853576174193480695826442858012671", "6670c20afcceaea672c97f75e2e9dd5c8460e54bb38538ebb4bd30eb", "f280d8008d07a4caf54271f993527d46ff3ff46fd1190a3f1faa4f74", }, { "205688069665150753842126177372015544874550518966168735589597183", "eca934247425cfd949b795cb5ce1eff401550386e28d1a4c5a8eb", "d4c01040dba19628931bc8855370317c722cbd9ca6156985f1c2e9ce", }, { "13479966930919337728895168462090683249159702977113823384618282123295", "ef353bf5c73cd551b96d596fbc9a67f16d61dd9fe56af19de1fba9cd", "21771b9cdce3e8430c09b3838be70b48c21e15bc09ee1f2d7945b91f", }, { "50210731791415612487756441341851895584393717453129007497216", "4036052a3091eb481046ad3289c95d3ac905ca0023de2c03ecd451cf", "d768165a38a2b96f812586a9d59d4136035d9c853a5bf2e1c86a4993", }, { "26959946667150639794667015087019625940457807714424391721682722368041", "fcc7f2b45df1cd5a3c0c0731ca47a8af75cfb0347e8354eefe782455", "f2a28eefd8b345832116f1e574f2c6b2c895aa8c24941f40d8b80ad1", }, { "26959946667150639794667015087019625940457807714424391721682722368042", "a1e81c04f30ce201c7c9ace785ed44cc33b455a022f2acdbc6cae83c", "230e093c24f638f533dac6e2b6d01da3b5e7f45429315ca93fb8e634", }, { "26959946667150639794667015087019625940457807714424391721682722368043", "c9ff61b040874c0568479216824a15eab1a838a797d189746226e4cc", "156729f1a003647030666054e208180f8f7b0df2249e44fba5931fff", }, { "26959946667150639794667015087019625940457807714424391721682722368044", "b8357c3a6ceef288310e17b8bfeff9200846ca8c1942497c484403bc", "eb610599f95942df1082e4f9426d086fb9c6231ae8b24933aab5db", }, { "26959946667150639794667015087019625940457807714424391721682722368045", "b6ec4fe1777382404ef679997ba8d1cc5cd8e85349259f590c4c66d", "cc662b9bcba6f94ee4ff1c9c10bd6ddd0d138df2d099a282152a4b7f", }, { "26959946667150639794667015087019625940457807714424391721682722368046", "baa4d8635511a7d288aebeedd12ce529ff102c91f97f867e21916bf9", "6865a0b8a607f0b04b13d1cb0aa992a5a97f5ee8ca1849efb9ed8678", }, { "26959946667150639794667015087019625940457807714424391721682722368047", "a53640c83dc208603ded83e4ecf758f24c357d7cf48088b2ce01e9fa", "2a7eb328dbe663b5a468b5bc97a040a3745396ba636b964370dc3352", }, { "26959946667150639794667015087019625940457807714424391721682722368048", "34e8e17a430e43289793c383fac9774247b40e9ebd3366981fcfaeca", "dad7e608e380480434ea641cc82c82cbc92801469c8db0204f13489a", }, { "26959946667150639794667015087019625940457807714424391721682722368049", "6e31ee1dc137f81b056752e4deab1443a481033e9b4c93a3044f4f7a", "df82220fc7a4021549165325725f94c3410ddb56c54e161fc9ef62ee", }, { "26959946667150639794667015087019625940457807714424391721682722368050", "ef53b6294aca431f0f3c22dc82eb9050324f1d88d377e716448e507c", "df4aefffbf6d1699c930481cd102127c9a3d992048ab05929b6e5927", }, { "26959946667150639794667015087019625940457807714424391721682722368051", "aea9e17a306517eb89152aa7096d2c381ec813c51aa880e7bee2c0fd", "c644cf154cc81f5ade49345e541b4d4b5c1adb3eb5c01c14ee949aa2", }, { "26959946667150639794667015087019625940457807714424391721682722368052", "2fdcccfee720a77ef6cb3bfbb447f9383117e3daa4a07e36ed15f78d", "c8e8cd1b0be40b0877cfca1958603122f1e6914f84b7e8e968ae8b9e", }, { "26959946667150639794667015087019625940457807714424391721682722368053", "858e6f9cc6c12c31f5df124aa77767b05c8bc021bd683d2b55571550", "fb9232c15a3bc7673a3a03b0253824c53d0fd1411b1cabe2e187fb87", }, { "26959946667150639794667015087019625940457807714424391721682722368054", "db2f6be630e246a5cf7d99b85194b123d487e2d466b94b24a03c3e28", "f0c5cff7ab680d09ee11dae84e9c1072ac48ea2e744b1b7f72fd469e", }, { "26959946667150639794667015087019625940457807714424391721682722368055", "1f2483f82572251fca975fea40db821df8ad82a3c002ee6c57112408", "76050f3348af2664aac3a8b05281304ebc7a7914c6ad50a4b4eac383", }, { "26959946667150639794667015087019625940457807714424391721682722368056", "31c49ae75bce7807cdff22055d94ee9021fedbb5ab51c57526f011aa", "d817400e8ba9ca13a45f360e3d121eaaeb39af82d6001c8186f5f866", }, { "26959946667150639794667015087019625940457807714424391721682722368057", "ae99feebb5d26945b54892092a8aee02912930fa41cd114e40447301", "fb7da7f5f13a43b81774373c879cd32d6934c05fa758eeb14fcfab38", }, { "26959946667150639794667015087019625940457807714424391721682722368058", "df1b1d66a551d0d31eff822558b9d2cc75c2180279fe0d08fd896d04", "5c080fc3522f41bbb3f55a97cfecf21f882ce8cbb1e50ca6e67e56dc", }, { "26959946667150639794667015087019625940457807714424391721682722368059", "706a46dc76dcb76798e60e6d89474788d16dc18032d268fd1a704fa6", "e3d4895843da188fd58fb0567976d7b50359d6b78530c8f62d1b1746", }, { "26959946667150639794667015087019625940457807714424391721682722368060", "b70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21", "42c89c774a08dc04b3dd201932bc8a5ea5f8b89bbb2a7e667aff81cd", }, } func TestP224BaseMult(t *testing.T) { p224 := P224() for i, e := range p224BaseMultTests { k, ok := new(big.Int).SetString(e.k, 10) if !ok { t.Errorf("%d: bad value for k: %s", i, e.k) } x, y := p224.ScalarBaseMult(k.Bytes()) if fmt.Sprintf("%x", x) != e.x || fmt.Sprintf("%x", y) != e.y { t.Errorf("%d: bad output for k=%s: got (%x, %x), want (%s, %s)", i, e.k, x, y, e.x, e.y) } if testing.Short() && i > 5 { break } } } func TestP224GenericBaseMult(t *testing.T) { // We use the P224 CurveParams directly in order to test the generic implementation. p224 := genericParamsForCurve(P224()) for i, e := range p224BaseMultTests { k, ok := new(big.Int).SetString(e.k, 10) if !ok { t.Errorf("%d: bad value for k: %s", i, e.k) } x, y := p224.ScalarBaseMult(k.Bytes()) if fmt.Sprintf("%x", x) != e.x || fmt.Sprintf("%x", y) != e.y { t.Errorf("%d: bad output for k=%s: got (%x, %x), want (%s, %s)", i, e.k, x, y, e.x, e.y) } if testing.Short() && i > 5 { break } } } func TestP224Overflow(t *testing.T) { // This tests for a specific bug in the P224 implementation. p224 := P224() pointData, _ := hex.DecodeString("049B535B45FB0A2072398A6831834624C7E32CCFD5A4B933BCEAF77F1DD945E08BBE5178F5EDF5E733388F196D2A631D2E075BB16CBFEEA15B") x, y := Unmarshal(p224, pointData) if !p224.IsOnCurve(x, y) { t.Error("P224 failed to validate a correct point") } }