| // Copyright 2010 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 ( |
| "crypto/rand" |
| "encoding/hex" |
| "fmt" |
| "math/big" |
| "testing" |
| ) |
| |
| func TestOnCurve(t *testing.T) { |
| p224 := P224() |
| if !p224.IsOnCurve(p224.Params().Gx, p224.Params().Gy) { |
| t.Errorf("FAIL") |
| } |
| } |
| |
| func TestOffCurve(t *testing.T) { |
| p224 := P224() |
| x, y := new(big.Int).SetInt64(1), new(big.Int).SetInt64(1) |
| if p224.IsOnCurve(x, y) { |
| t.Errorf("FAIL: point off curve is claimed to be on the curve") |
| } |
| b := Marshal(p224, x, y) |
| x1, y1 := Unmarshal(p224, b) |
| if x1 != nil || y1 != nil { |
| t.Errorf("FAIL: unmarshaling a point not on the curve succeeded") |
| } |
| } |
| |
| 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", |
| }, |
| } |
| |
| type scalarMultTest struct { |
| k string |
| xIn, yIn string |
| xOut, yOut string |
| } |
| |
| var p256MultTests = []scalarMultTest{ |
| { |
| "2a265f8bcbdcaf94d58519141e578124cb40d64a501fba9c11847b28965bc737", |
| "023819813ac969847059028ea88a1f30dfbcde03fc791d3a252c6b41211882ea", |
| "f93e4ae433cc12cf2a43fc0ef26400c0e125508224cdb649380f25479148a4ad", |
| "4d4de80f1534850d261075997e3049321a0864082d24a917863366c0724f5ae3", |
| "a22d2b7f7818a3563e0f7a76c9bf0921ac55e06e2e4d11795b233824b1db8cc0", |
| }, |
| { |
| "313f72ff9fe811bf573176231b286a3bdb6f1b14e05c40146590727a71c3bccd", |
| "cc11887b2d66cbae8f4d306627192522932146b42f01d3c6f92bd5c8ba739b06", |
| "a2f08a029cd06b46183085bae9248b0ed15b70280c7ef13a457f5af382426031", |
| "831c3f6b5f762d2f461901577af41354ac5f228c2591f84f8a6e51e2e3f17991", |
| "93f90934cd0ef2c698cc471c60a93524e87ab31ca2412252337f364513e43684", |
| }, |
| } |
| |
| func TestBaseMult(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 TestGenericBaseMult(t *testing.T) { |
| // We use the P224 CurveParams directly in order to test the generic implementation. |
| p224 := P224().Params() |
| 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 TestP256BaseMult(t *testing.T) { |
| p256 := P256() |
| p256Generic := p256.Params() |
| |
| scalars := make([]*big.Int, 0, len(p224BaseMultTests)+1) |
| for _, e := range p224BaseMultTests { |
| k, _ := new(big.Int).SetString(e.k, 10) |
| scalars = append(scalars, k) |
| } |
| k := new(big.Int).SetInt64(1) |
| k.Lsh(k, 500) |
| scalars = append(scalars, k) |
| |
| for i, k := range scalars { |
| x, y := p256.ScalarBaseMult(k.Bytes()) |
| x2, y2 := p256Generic.ScalarBaseMult(k.Bytes()) |
| if x.Cmp(x2) != 0 || y.Cmp(y2) != 0 { |
| t.Errorf("#%d: got (%x, %x), want (%x, %x)", i, x, y, x2, y2) |
| } |
| |
| if testing.Short() && i > 5 { |
| break |
| } |
| } |
| } |
| |
| func TestP256Mult(t *testing.T) { |
| p256 := P256() |
| p256Generic := p256.Params() |
| |
| for i, e := range p224BaseMultTests { |
| x, _ := new(big.Int).SetString(e.x, 16) |
| y, _ := new(big.Int).SetString(e.y, 16) |
| k, _ := new(big.Int).SetString(e.k, 10) |
| |
| xx, yy := p256.ScalarMult(x, y, k.Bytes()) |
| xx2, yy2 := p256Generic.ScalarMult(x, y, k.Bytes()) |
| if xx.Cmp(xx2) != 0 || yy.Cmp(yy2) != 0 { |
| t.Errorf("#%d: got (%x, %x), want (%x, %x)", i, xx, yy, xx2, yy2) |
| } |
| if testing.Short() && i > 5 { |
| break |
| } |
| } |
| |
| for i, e := range p256MultTests { |
| x, _ := new(big.Int).SetString(e.xIn, 16) |
| y, _ := new(big.Int).SetString(e.yIn, 16) |
| k, _ := new(big.Int).SetString(e.k, 16) |
| expectedX, _ := new(big.Int).SetString(e.xOut, 16) |
| expectedY, _ := new(big.Int).SetString(e.yOut, 16) |
| |
| xx, yy := p256.ScalarMult(x, y, k.Bytes()) |
| if xx.Cmp(expectedX) != 0 || yy.Cmp(expectedY) != 0 { |
| t.Errorf("#%d: got (%x, %x), want (%x, %x)", i, xx, yy, expectedX, expectedY) |
| } |
| } |
| } |
| |
| func TestInfinity(t *testing.T) { |
| tests := []struct { |
| name string |
| curve Curve |
| }{ |
| {"p224", P224()}, |
| {"p256", P256()}, |
| } |
| |
| for _, test := range tests { |
| curve := test.curve |
| x, y := curve.ScalarBaseMult(nil) |
| if x.Sign() != 0 || y.Sign() != 0 { |
| t.Errorf("%s: x^0 != ∞", test.name) |
| } |
| x.SetInt64(0) |
| y.SetInt64(0) |
| |
| x2, y2 := curve.Double(x, y) |
| if x2.Sign() != 0 || y2.Sign() != 0 { |
| t.Errorf("%s: 2∞ != ∞", test.name) |
| } |
| |
| baseX := curve.Params().Gx |
| baseY := curve.Params().Gy |
| |
| x3, y3 := curve.Add(baseX, baseY, x, y) |
| if x3.Cmp(baseX) != 0 || y3.Cmp(baseY) != 0 { |
| t.Errorf("%s: x+∞ != x", test.name) |
| } |
| |
| x4, y4 := curve.Add(x, y, baseX, baseY) |
| if x4.Cmp(baseX) != 0 || y4.Cmp(baseY) != 0 { |
| t.Errorf("%s: ∞+x != x", test.name) |
| } |
| } |
| } |
| |
| func BenchmarkBaseMult(b *testing.B) { |
| b.ResetTimer() |
| p224 := P224() |
| e := p224BaseMultTests[25] |
| k, _ := new(big.Int).SetString(e.k, 10) |
| b.StartTimer() |
| for i := 0; i < b.N; i++ { |
| p224.ScalarBaseMult(k.Bytes()) |
| } |
| } |
| |
| func BenchmarkBaseMultP256(b *testing.B) { |
| b.ResetTimer() |
| p256 := P256() |
| e := p224BaseMultTests[25] |
| k, _ := new(big.Int).SetString(e.k, 10) |
| b.StartTimer() |
| for i := 0; i < b.N; i++ { |
| p256.ScalarBaseMult(k.Bytes()) |
| } |
| } |
| |
| func BenchmarkScalarMultP256(b *testing.B) { |
| b.ResetTimer() |
| p256 := P256() |
| _, x, y, _ := GenerateKey(p256, rand.Reader) |
| priv, _, _, _ := GenerateKey(p256, rand.Reader) |
| |
| b.StartTimer() |
| for i := 0; i < b.N; i++ { |
| p256.ScalarMult(x, y, priv) |
| } |
| } |
| |
| func TestMarshal(t *testing.T) { |
| p224 := P224() |
| _, x, y, err := GenerateKey(p224, rand.Reader) |
| if err != nil { |
| t.Error(err) |
| return |
| } |
| serialized := Marshal(p224, x, y) |
| xx, yy := Unmarshal(p224, serialized) |
| if xx == nil { |
| t.Error("failed to unmarshal") |
| return |
| } |
| if xx.Cmp(x) != 0 || yy.Cmp(y) != 0 { |
| t.Error("unmarshal returned different values") |
| return |
| } |
| } |
| |
| 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") |
| } |
| } |
