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-rw-r--r--src/crypto/elliptic/p256_test.go152
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
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+++ 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)
+ }
+}