285 lines
7.2 KiB
Go
285 lines
7.2 KiB
Go
package bls12381
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import (
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"bytes"
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"crypto/rand"
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"math/big"
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"testing"
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"github.com/ethereum/go-ethereum/common"
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)
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func (g *G1) one() *PointG1 {
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one, _ := g.fromBytesUnchecked(
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common.FromHex("" +
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"17f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb" +
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"08b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e1",
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),
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)
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return one
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}
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func (g *G1) rand() *PointG1 {
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k, err := rand.Int(rand.Reader, q)
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if err != nil {
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panic(err)
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}
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return g.MulScalar(&PointG1{}, g.one(), k)
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}
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func TestG1Serialization(t *testing.T) {
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g1 := NewG1()
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for i := 0; i < fuz; i++ {
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a := g1.rand()
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buf := g1.ToBytes(a)
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b, err := g1.FromBytes(buf)
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if err != nil {
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t.Fatal(err)
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}
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if !g1.Equal(a, b) {
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t.Fatal("bad serialization from/to")
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}
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}
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for i := 0; i < fuz; i++ {
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a := g1.rand()
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encoded := g1.EncodePoint(a)
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b, err := g1.DecodePoint(encoded)
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if err != nil {
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t.Fatal(err)
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}
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if !g1.Equal(a, b) {
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t.Fatal("bad serialization encode/decode")
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}
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}
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}
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func TestG1IsOnCurve(t *testing.T) {
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g := NewG1()
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zero := g.Zero()
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if !g.IsOnCurve(zero) {
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t.Fatal("zero must be on curve")
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}
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one := new(fe).one()
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p := &PointG1{*one, *one, *one}
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if g.IsOnCurve(p) {
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t.Fatal("(1, 1) is not on curve")
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}
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}
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func TestG1AdditiveProperties(t *testing.T) {
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g := NewG1()
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t0, t1 := g.New(), g.New()
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zero := g.Zero()
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for i := 0; i < fuz; i++ {
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a, b := g.rand(), g.rand()
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g.Add(t0, a, zero)
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if !g.Equal(t0, a) {
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t.Fatal("a + 0 == a")
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}
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g.Add(t0, zero, zero)
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if !g.Equal(t0, zero) {
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t.Fatal("0 + 0 == 0")
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}
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g.Sub(t0, a, zero)
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if !g.Equal(t0, a) {
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t.Fatal("a - 0 == a")
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}
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g.Sub(t0, zero, zero)
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if !g.Equal(t0, zero) {
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t.Fatal("0 - 0 == 0")
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}
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g.Neg(t0, zero)
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if !g.Equal(t0, zero) {
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t.Fatal("- 0 == 0")
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}
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g.Sub(t0, zero, a)
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g.Neg(t0, t0)
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if !g.Equal(t0, a) {
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t.Fatal(" - (0 - a) == a")
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}
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g.Double(t0, zero)
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if !g.Equal(t0, zero) {
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t.Fatal("2 * 0 == 0")
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}
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g.Double(t0, a)
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g.Sub(t0, t0, a)
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if !g.Equal(t0, a) || !g.IsOnCurve(t0) {
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t.Fatal(" (2 * a) - a == a")
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}
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g.Add(t0, a, b)
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g.Add(t1, b, a)
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if !g.Equal(t0, t1) {
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t.Fatal("a + b == b + a")
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}
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g.Sub(t0, a, b)
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g.Sub(t1, b, a)
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g.Neg(t1, t1)
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if !g.Equal(t0, t1) {
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t.Fatal("a - b == - ( b - a )")
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}
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c := g.rand()
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g.Add(t0, a, b)
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g.Add(t0, t0, c)
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g.Add(t1, a, c)
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g.Add(t1, t1, b)
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if !g.Equal(t0, t1) {
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t.Fatal("(a + b) + c == (a + c ) + b")
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}
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g.Sub(t0, a, b)
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g.Sub(t0, t0, c)
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g.Sub(t1, a, c)
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g.Sub(t1, t1, b)
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if !g.Equal(t0, t1) {
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t.Fatal("(a - b) - c == (a - c) -b")
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}
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}
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}
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func TestG1MultiplicativeProperties(t *testing.T) {
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g := NewG1()
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t0, t1 := g.New(), g.New()
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zero := g.Zero()
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for i := 0; i < fuz; i++ {
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a := g.rand()
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s1, s2, s3 := randScalar(q), randScalar(q), randScalar(q)
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sone := big.NewInt(1)
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g.MulScalar(t0, zero, s1)
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if !g.Equal(t0, zero) {
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t.Fatal(" 0 ^ s == 0")
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}
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g.MulScalar(t0, a, sone)
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if !g.Equal(t0, a) {
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t.Fatal(" a ^ 1 == a")
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}
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g.MulScalar(t0, zero, s1)
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if !g.Equal(t0, zero) {
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t.Fatal(" 0 ^ s == a")
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}
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g.MulScalar(t0, a, s1)
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g.MulScalar(t0, t0, s2)
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s3.Mul(s1, s2)
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g.MulScalar(t1, a, s3)
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if !g.Equal(t0, t1) {
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t.Errorf(" (a ^ s1) ^ s2 == a ^ (s1 * s2)")
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}
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g.MulScalar(t0, a, s1)
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g.MulScalar(t1, a, s2)
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g.Add(t0, t0, t1)
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s3.Add(s1, s2)
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g.MulScalar(t1, a, s3)
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if !g.Equal(t0, t1) {
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t.Errorf(" (a ^ s1) + (a ^ s2) == a ^ (s1 + s2)")
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}
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}
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}
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func TestG1MultiExpExpected(t *testing.T) {
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g := NewG1()
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one := g.one()
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var scalars [2]*big.Int
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var bases [2]*PointG1
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scalars[0] = big.NewInt(2)
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scalars[1] = big.NewInt(3)
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bases[0], bases[1] = new(PointG1).Set(one), new(PointG1).Set(one)
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expected, result := g.New(), g.New()
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g.MulScalar(expected, one, big.NewInt(5))
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_, _ = g.MultiExp(result, bases[:], scalars[:])
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if !g.Equal(expected, result) {
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t.Fatal("bad multi-exponentiation")
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}
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}
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func TestG1MultiExpBatch(t *testing.T) {
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g := NewG1()
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one := g.one()
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n := 1000
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bases := make([]*PointG1, n)
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scalars := make([]*big.Int, n)
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// scalars: [s0,s1 ... s(n-1)]
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// bases: [P0,P1,..P(n-1)] = [s(n-1)*G, s(n-2)*G ... s0*G]
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for i, j := 0, n-1; i < n; i, j = i+1, j-1 {
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scalars[j], _ = rand.Int(rand.Reader, big.NewInt(100000))
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bases[i] = g.New()
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g.MulScalar(bases[i], one, scalars[j])
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}
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// expected: s(n-1)*P0 + s(n-2)*P1 + s0*P(n-1)
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expected, tmp := g.New(), g.New()
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for i := 0; i < n; i++ {
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g.MulScalar(tmp, bases[i], scalars[i])
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g.Add(expected, expected, tmp)
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}
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result := g.New()
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_, _ = g.MultiExp(result, bases, scalars)
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if !g.Equal(expected, result) {
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t.Fatal("bad multi-exponentiation")
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}
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}
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func TestG1MapToCurve(t *testing.T) {
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for i, v := range []struct {
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u []byte
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expected []byte
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}{
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{
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u: make([]byte, 48),
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expected: common.FromHex("11a9a0372b8f332d5c30de9ad14e50372a73fa4c45d5f2fa5097f2d6fb93bcac592f2e1711ac43db0519870c7d0ea415" + "092c0f994164a0719f51c24ba3788de240ff926b55f58c445116e8bc6a47cd63392fd4e8e22bdf9feaa96ee773222133"),
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},
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{
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u: common.FromHex("07fdf49ea58e96015d61f6b5c9d1c8f277146a533ae7fbca2a8ef4c41055cd961fbc6e26979b5554e4b4f22330c0e16d"),
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expected: common.FromHex("1223effdbb2d38152495a864d78eee14cb0992d89a241707abb03819a91a6d2fd65854ab9a69e9aacb0cbebfd490732c" + "0f925d61e0b235ecd945cbf0309291878df0d06e5d80d6b84aa4ff3e00633b26f9a7cb3523ef737d90e6d71e8b98b2d5"),
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},
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{
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u: common.FromHex("1275ab3adbf824a169ed4b1fd669b49cf406d822f7fe90d6b2f8c601b5348436f89761bb1ad89a6fb1137cd91810e5d2"),
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expected: common.FromHex("179d3fd0b4fb1da43aad06cea1fb3f828806ddb1b1fa9424b1e3944dfdbab6e763c42636404017da03099af0dcca0fd6" + "0d037cb1c6d495c0f5f22b061d23f1be3d7fe64d3c6820cfcd99b6b36fa69f7b4c1f4addba2ae7aa46fb25901ab483e4"),
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},
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{
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u: common.FromHex("0e93d11d30de6d84b8578827856f5c05feef36083eef0b7b263e35ecb9b56e86299614a042e57d467fa20948e8564909"),
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expected: common.FromHex("15aa66c77eded1209db694e8b1ba49daf8b686733afaa7b68c683d0b01788dfb0617a2e2d04c0856db4981921d3004af" + "0952bb2f61739dd1d201dd0a79d74cda3285403d47655ee886afe860593a8a4e51c5b77a22d2133e3a4280eaaaa8b788"),
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},
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{
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u: common.FromHex("015a41481155d17074d20be6d8ec4d46632a51521cd9c916e265bd9b47343b3689979b50708c8546cbc2916b86cb1a3a"),
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expected: common.FromHex("06328ce5106e837935e8da84bd9af473422e62492930aa5f460369baad9545defa468d9399854c23a75495d2a80487ee" + "094bfdfe3e552447433b5a00967498a3f1314b86ce7a7164c8a8f4131f99333b30a574607e301d5f774172c627fd0bca"),
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},
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} {
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g := NewG1()
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p0, err := g.MapToCurve(v.u)
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if err != nil {
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t.Fatal("map to curve fails", i, err)
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}
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if !bytes.Equal(g.ToBytes(p0), v.expected) {
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t.Fatal("map to curve fails", i)
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}
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}
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}
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func BenchmarkG1Add(t *testing.B) {
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g1 := NewG1()
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a, b, c := g1.rand(), g1.rand(), PointG1{}
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t.ResetTimer()
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for i := 0; i < t.N; i++ {
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g1.Add(&c, a, b)
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}
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}
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func BenchmarkG1Mul(t *testing.B) {
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worstCaseScalar, _ := new(big.Int).SetString("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", 16)
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g1 := NewG1()
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a, e, c := g1.rand(), worstCaseScalar, PointG1{}
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t.ResetTimer()
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for i := 0; i < t.N; i++ {
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g1.MulScalar(&c, a, e)
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}
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}
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func BenchmarkG1MapToCurve(t *testing.B) {
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a := make([]byte, 48)
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g1 := NewG1()
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t.ResetTimer()
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for i := 0; i < t.N; i++ {
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_, err := g1.MapToCurve(a)
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if err != nil {
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t.Fatal(err)
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}
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}
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}
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