gmsm/internal/sm9/bn256/gfp2_test.go
2025-03-25 17:19:10 +08:00

382 lines
9.6 KiB
Go

package bn256
import (
"math/big"
"testing"
)
func TestGfp2BasicOperations(t *testing.T) {
x := &gfP2{
*newGFpFromHex("85AEF3D078640C98597B6027B441A01FF1DD2C190F5E93C454806C11D8806141"),
*newGFpFromHex("3722755292130B08D2AAB97FD34EC120EE265948D19C17ABF9B7213BAF82D65B"),
}
y := &gfP2{
*newGFpFromHex("17509B092E845C1266BA0D262CBEE6ED0736A96FA347C8BD856DC76B84EBEB96"),
*newGFpFromHex("A7CF28D519BE3DA65F3170153D278FF247EFBA98A71A08116215BBA5C999A7C7"),
}
expectedAdd := "(5bf55bb67d25f098609a367366d94d6599da7405db44c388edb64706908922e4, 728185f97d3df3a01d3ad2a0e140d12011e10fa47d50fd12e6413a361e549cd9)"
expectedSub := "(0e6cca2ef0f4dce3fa4a249bb48a25d84dbf1f63ac843004e3b586d5dac6e8eb, 51785a37fb519603d4b026648151d768ebe9b9193a9c83c365c31316fb711845)"
expectedMul := "(7f98a04cf83164be0fdc4763a7c6f24c2901191f2917eb71037cd5221cf002bb, 75a09ee1aa1b04ccdb24e629529a18492f378aa3034f63d3cd1b8b9f0d338b3a)"
expectedMulU := "(75a09ee1aa1b04ccdb24e629529a18492f378aa3034f63d3cd1b8b9f0d338b3a, 6d4ebf6614e484678c4ec7d89b8fa9f1f1e2f457e2c606d5c3e58c0b8cc28584)"
t.Parallel()
t.Run("Add", func(t *testing.T) {
ret := &gfP2{}
ret.Add(x, y)
if ret.String() != expectedAdd {
t.Errorf("expected %v, got %v", expectedAdd, ret)
}
ret.Set(x)
ret.Add(ret, y)
if ret.String() != expectedAdd {
t.Errorf("add self fail, expected %v, got %v", expectedAdd, ret)
}
ret.Set(y)
ret.Add(x, ret)
if ret.String() != expectedAdd {
t.Errorf("add self fail, expected %v, got %v", expectedAdd, ret)
}
})
t.Run("Sub", func(t *testing.T) {
ret := &gfP2{}
ret.Sub(x, y)
if ret.String() != expectedSub {
t.Errorf("expected %v, got %v", expectedSub, ret)
}
ret.Set(x)
ret.Sub(ret, y)
if ret.String() != expectedSub {
t.Errorf("sub self fail, expected %v, got %v", expectedSub, ret)
}
ret.Set(y)
ret.Sub(x, ret)
if ret.String() != expectedSub {
t.Errorf("sub self fail, expected %v, got %v", expectedSub, ret)
}
})
t.Run("Double", func(t *testing.T) {
expected := &gfP2{}
expected.Set(x)
expected.Add(expected, expected)
got := &gfP2{}
got.Set(x)
got.Double(got)
if got.Equal(expected) != 1 {
t.Errorf("got %v, expected %v", got, expected)
}
})
t.Run("Triple", func(t *testing.T) {
expected := &gfP2{}
expected.Set(x)
expected.Add(expected, expected)
expected.Add(expected, x)
got := &gfP2{}
got.Set(x)
got.Triple(got)
if got.Equal(expected) != 1 {
t.Errorf("got %v, expected %v", got, expected)
}
})
t.Run("Mul", func(t *testing.T) {
got := &gfP2{}
got.Set(x)
got.Mul(got, y)
if got.String() != expectedMul {
t.Errorf("got %v, expected %v", got, expectedMul)
}
})
t.Run("MulU", func(t *testing.T) {
got := &gfP2{}
got.Set(x)
got.MulU(got, y)
if got.String() != expectedMulU {
t.Errorf("got %v, expected %v", got, expectedMulU)
}
})
t.Run("Square", func(t *testing.T) {
expected := &gfP2{}
expected.Mul(x, x)
got := &gfP2{}
got.Set(x)
got.Square(got)
if got.Equal(expected) != 1 {
t.Errorf("got %v, expected %v", got, expected)
}
})
t.Run("SquareU", func(t *testing.T) {
expected := &gfP2{}
expected.MulU(x, x)
got := &gfP2{}
got.Set(x)
got.SquareU(got)
if got.Equal(expected) != 1 {
t.Errorf("got %v, expected %v", got, expected)
}
})
}
func Test_gfP2Invert(t *testing.T) {
x := &gfP2{
*newGFpFromHex("85AEF3D078640C98597B6027B441A01FF1DD2C190F5E93C454806C11D8806141"),
*newGFpFromHex("3722755292130B08D2AAB97FD34EC120EE265948D19C17ABF9B7213BAF82D65B"),
}
xInv := &gfP2{}
xInv.Invert(x)
y := &gfP2{}
y.Mul(x, xInv)
expected := (&gfP2{}).SetOne()
if y.x != expected.x || y.y != expected.y {
t.Errorf("got %v, expected %v", y, expected)
}
x = &gfP2{
*newGFpFromHex("85AEF3D078640C98597B6027B441A01FF1DD2C190F5E93C454806C11D8806141"),
*zero,
}
xInv.Invert(x)
y.Mul(x, xInv)
if y.x != expected.x || y.y != expected.y {
t.Errorf("got %v, expected %v", y, expected)
}
x = &gfP2{
*zero,
*newGFpFromHex("3722755292130B08D2AAB97FD34EC120EE265948D19C17ABF9B7213BAF82D65B"),
}
xInv.Invert(x)
y.Mul(x, xInv)
if y.x != expected.x || y.y != expected.y {
t.Errorf("got %v, expected %v", y, expected)
}
}
func Test_gfP2Exp(t *testing.T) {
x := &gfP2{
*newGFpFromHex("17509B092E845C1266BA0D262CBEE6ED0736A96FA347C8BD856DC76B84EBEB96"),
*newGFpFromHex("A7CF28D519BE3DA65F3170153D278FF247EFBA98A71A08116215BBA5C999A7C7"),
}
got := &gfP2{}
got.Exp(x, big.NewInt(1))
if x.x != got.x || x.y != got.y {
t.Errorf("got %v, expected %v", got, x)
}
}
func Test_gfP2Frobenius(t *testing.T) {
x := &gfP2{
*newGFpFromHex("85AEF3D078640C98597B6027B441A01FF1DD2C190F5E93C454806C11D8806141"),
*newGFpFromHex("3722755292130B08D2AAB97FD34EC120EE265948D19C17ABF9B7213BAF82D65B"),
}
expected := &gfP2{}
expected.Exp(x, p)
got := &gfP2{}
got.Frobenius(x)
if expected.x != got.x || expected.y != got.y {
t.Errorf("got %v, expected %v", got, x)
}
// make sure i^(p-1) = -1
i := &gfP2{}
i.SetU()
i.Exp(i, bigFromHex("b640000002a3a6f1d603ab4ff58ec74521f2934b1a7aeedbe56f9b27e351457c"))
i = gfP2Decode(i)
expected.y.Set(newGFp(-1))
expected.x.Set(zero)
expected = gfP2Decode(expected)
if expected.x != i.x || expected.y != i.y {
t.Errorf("got %v, expected %v", i, expected)
}
}
func Test_gfP2Sqrt(t *testing.T) {
x := &gfP2{
*newGFpFromHex("85AEF3D078640C98597B6027B441A01FF1DD2C190F5E93C454806C11D8806141"),
*newGFpFromHex("3722755292130B08D2AAB97FD34EC120EE265948D19C17ABF9B7213BAF82D65B"),
}
x2, x3, sqrt, sqrtNeg := &gfP2{}, &gfP2{}, &gfP2{}, &gfP2{}
x2.Mul(x, x)
sqrt.Sqrt(x2)
sqrtNeg.Neg(sqrt)
x3.Mul(sqrt, sqrt)
if *x3 != *x2 {
t.Errorf("not correct")
}
if *sqrt != *x && *sqrtNeg != *x {
t.Errorf("sqrt not expected")
}
}
func BenchmarkGfP2Mul(b *testing.B) {
x := &gfP2{
*newGFpFromHex("85AEF3D078640C98597B6027B441A01FF1DD2C190F5E93C454806C11D8806141"),
*newGFpFromHex("3722755292130B08D2AAB97FD34EC120EE265948D19C17ABF9B7213BAF82D65B"),
}
y := &gfP2{
*newGFpFromHex("17509B092E845C1266BA0D262CBEE6ED0736A96FA347C8BD856DC76B84EBEB96"),
*newGFpFromHex("A7CF28D519BE3DA65F3170153D278FF247EFBA98A71A08116215BBA5C999A7C7"),
}
t := &gfP2{}
b.ReportAllocs()
b.ResetTimer()
for i := 0; i < b.N; i++ {
t.Mul(x, y)
}
}
func BenchmarkGfP2MulScalar(b *testing.B) {
x := &gfP2{
*newGFpFromHex("85AEF3D078640C98597B6027B441A01FF1DD2C190F5E93C454806C11D8806141"),
*newGFpFromHex("3722755292130B08D2AAB97FD34EC120EE265948D19C17ABF9B7213BAF82D65B"),
}
t := &gfP2{}
b.ReportAllocs()
b.ResetTimer()
for i := 0; i < b.N; i++ {
t.MulScalar(x, &x.x)
}
}
func BenchmarkGfP2MulU1(b *testing.B) {
x := &gfP2{
*newGFpFromHex("85AEF3D078640C98597B6027B441A01FF1DD2C190F5E93C454806C11D8806141"),
*newGFpFromHex("3722755292130B08D2AAB97FD34EC120EE265948D19C17ABF9B7213BAF82D65B"),
}
t := &gfP2{}
b.ReportAllocs()
b.ResetTimer()
for i := 0; i < b.N; i++ {
t.MulU1(x)
}
}
func BenchmarkGfP2MulU(b *testing.B) {
x := &gfP2{
*newGFpFromHex("85AEF3D078640C98597B6027B441A01FF1DD2C190F5E93C454806C11D8806141"),
*newGFpFromHex("3722755292130B08D2AAB97FD34EC120EE265948D19C17ABF9B7213BAF82D65B"),
}
y := &gfP2{
*newGFpFromHex("17509B092E845C1266BA0D262CBEE6ED0736A96FA347C8BD856DC76B84EBEB96"),
*newGFpFromHex("A7CF28D519BE3DA65F3170153D278FF247EFBA98A71A08116215BBA5C999A7C7"),
}
t := &gfP2{}
b.ReportAllocs()
b.ResetTimer()
for i := 0; i < b.N; i++ {
t.MulU(x, y)
}
}
func BenchmarkGfP2Square(b *testing.B) {
x := &gfP2{
*newGFpFromHex("85AEF3D078640C98597B6027B441A01FF1DD2C190F5E93C454806C11D8806141"),
*newGFpFromHex("3722755292130B08D2AAB97FD34EC120EE265948D19C17ABF9B7213BAF82D65B"),
}
b.ReportAllocs()
b.ResetTimer()
for i := 0; i < b.N; i++ {
x.Square(x)
}
}
func BenchmarkGfP2SquareU(b *testing.B) {
x := &gfP2{
*newGFpFromHex("85AEF3D078640C98597B6027B441A01FF1DD2C190F5E93C454806C11D8806141"),
*newGFpFromHex("3722755292130B08D2AAB97FD34EC120EE265948D19C17ABF9B7213BAF82D65B"),
}
b.ReportAllocs()
b.ResetTimer()
for i := 0; i < b.N; i++ {
x.SquareU(x)
}
}
func BenchmarkGfP2Invert(b *testing.B) {
x := &gfP2{
*newGFpFromHex("85AEF3D078640C98597B6027B441A01FF1DD2C190F5E93C454806C11D8806141"),
*newGFpFromHex("3722755292130B08D2AAB97FD34EC120EE265948D19C17ABF9B7213BAF82D65B"),
}
t := &gfP2{}
b.ReportAllocs()
b.ResetTimer()
for i := 0; i < b.N; i++ {
t.Invert(x)
}
}
func BenchmarkGfP2Neg(b *testing.B) {
x := &gfP2{
*newGFpFromHex("85AEF3D078640C98597B6027B441A01FF1DD2C190F5E93C454806C11D8806141"),
*newGFpFromHex("3722755292130B08D2AAB97FD34EC120EE265948D19C17ABF9B7213BAF82D65B"),
}
b.ReportAllocs()
b.ResetTimer()
for i := 0; i < b.N; i++ {
gfpNeg(&x.x, &x.x)
gfpNeg(&x.y, &x.y)
}
}
func BenchmarkGfP2Neg2(b *testing.B) {
x := &gfP2{
*newGFpFromHex("85AEF3D078640C98597B6027B441A01FF1DD2C190F5E93C454806C11D8806141"),
*newGFpFromHex("3722755292130B08D2AAB97FD34EC120EE265948D19C17ABF9B7213BAF82D65B"),
}
b.ReportAllocs()
b.ResetTimer()
for i := 0; i < b.N; i++ {
gfpSub(&x.x, zero, &x.x)
gfpSub(&x.y, zero, &x.y)
}
}
/*
func Test_gfP2QuadraticResidue(t *testing.T) {
x := &gfP2{
*newGFpFromHex("85AEF3D078640C98597B6027B441A01FF1DD2C190F5E93C454806C11D8806141"),
*newGFpFromHex("3722755292130B08D2AAB97FD34EC120EE265948D19C17ABF9B7213BAF82D65B"),
}
n := bigFromHex("40df880001e10199aa9f985292a7740a5f3e998ff60a2401e81d08b99ba6f8ff691684e427df891a9250c20f55961961fe81f6fc785a9512ad93e28f5cfb4f84")
y := &gfP2{}
x2 := &gfP2{}
x2.Exp(x, n)
x2 = gfP2Decode(x2)
fmt.Printf("%v\n", x2)
for {
k, err := randomK(rand.Reader)
if err != nil {
t.Fatal(err)
}
x2.Exp(x, k)
y.Exp(x2, n)
if y.x == *zero && y.y == *one {
break
}
}
x2 = gfP2Decode(x2)
fmt.Printf("%v\n", x2)
}
*/