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Diffstat (limited to 'src/crypto/elliptic/p256_test.go')
-rw-r--r-- | src/crypto/elliptic/p256_test.go | 152 |
1 files changed, 152 insertions, 0 deletions
diff --git a/src/crypto/elliptic/p256_test.go b/src/crypto/elliptic/p256_test.go new file mode 100644 index 0000000..a607766 --- /dev/null +++ b/src/crypto/elliptic/p256_test.go @@ -0,0 +1,152 @@ +// Copyright 2021 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 ( + "math/big" + "testing" +) + +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 TestP256BaseMult(t *testing.T) { + p256 := P256() + p256Generic := genericParamsForCurve(p256) + + 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() + 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) + } + } +} + +type synthCombinedMult struct { + Curve +} + +func (s synthCombinedMult) CombinedMult(bigX, bigY *big.Int, baseScalar, scalar []byte) (x, y *big.Int) { + x1, y1 := s.ScalarBaseMult(baseScalar) + x2, y2 := s.ScalarMult(bigX, bigY, scalar) + return s.Add(x1, y1, x2, y2) +} + +func TestP256CombinedMult(t *testing.T) { + type combinedMult interface { + Curve + CombinedMult(bigX, bigY *big.Int, baseScalar, scalar []byte) (x, y *big.Int) + } + + p256, ok := P256().(combinedMult) + if !ok { + p256 = &synthCombinedMult{P256()} + } + + gx := p256.Params().Gx + gy := p256.Params().Gy + + zero := make([]byte, 32) + one := make([]byte, 32) + one[31] = 1 + two := make([]byte, 32) + two[31] = 2 + + // 0×G + 0×G = ∞ + x, y := p256.CombinedMult(gx, gy, zero, zero) + if x.Sign() != 0 || y.Sign() != 0 { + t.Errorf("0×G + 0×G = (%d, %d), should be ∞", x, y) + } + + // 1×G + 0×G = G + x, y = p256.CombinedMult(gx, gy, one, zero) + if x.Cmp(gx) != 0 || y.Cmp(gy) != 0 { + t.Errorf("1×G + 0×G = (%d, %d), should be (%d, %d)", x, y, gx, gy) + } + + // 0×G + 1×G = G + x, y = p256.CombinedMult(gx, gy, zero, one) + if x.Cmp(gx) != 0 || y.Cmp(gy) != 0 { + t.Errorf("0×G + 1×G = (%d, %d), should be (%d, %d)", x, y, gx, gy) + } + + // 1×G + 1×G = 2×G + x, y = p256.CombinedMult(gx, gy, one, one) + ggx, ggy := p256.ScalarBaseMult(two) + if x.Cmp(ggx) != 0 || y.Cmp(ggy) != 0 { + t.Errorf("1×G + 1×G = (%d, %d), should be (%d, %d)", x, y, ggx, ggy) + } + + minusOne := new(big.Int).Sub(p256.Params().N, big.NewInt(1)) + // 1×G + (-1)×G = ∞ + x, y = p256.CombinedMult(gx, gy, one, minusOne.Bytes()) + if x.Sign() != 0 || y.Sign() != 0 { + t.Errorf("1×G + (-1)×G = (%d, %d), should be ∞", x, y) + } +} + +func TestIssue52075(t *testing.T) { + Gx, Gy := P256().Params().Gx, P256().Params().Gy + scalar := make([]byte, 33) + scalar[32] = 1 + x, y := P256().ScalarBaseMult(scalar) + if x.Cmp(Gx) != 0 || y.Cmp(Gy) != 0 { + t.Errorf("unexpected output (%v,%v)", x, y) + } + x, y = P256().ScalarMult(Gx, Gy, scalar) + if x.Cmp(Gx) != 0 || y.Cmp(Gy) != 0 { + t.Errorf("unexpected output (%v,%v)", x, y) + } +} |