...
Run Format

Source file src/crypto/elliptic/elliptic_test.go

Documentation: crypto/elliptic

  // 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")
  	}
  }
  

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