You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
88 lines
2.7 KiB
88 lines
2.7 KiB
package bn128
|
|
|
|
import (
|
|
"bytes"
|
|
"math/big"
|
|
"testing"
|
|
|
|
"github.com/stretchr/testify/assert"
|
|
)
|
|
|
|
func TestBN128(t *testing.T) {
|
|
bn128, err := NewBn128()
|
|
assert.Nil(t, err)
|
|
|
|
big40 := big.NewInt(int64(40))
|
|
big75 := big.NewInt(int64(75))
|
|
|
|
g1a := bn128.G1.MulScalar(bn128.G1.G, bn128.Fq1.Copy(big40))
|
|
g2a := bn128.G2.MulScalar(bn128.G2.G, bn128.Fq1.Copy(big75))
|
|
|
|
g1b := bn128.G1.MulScalar(bn128.G1.G, bn128.Fq1.Copy(big75))
|
|
g2b := bn128.G2.MulScalar(bn128.G2.G, bn128.Fq1.Copy(big40))
|
|
|
|
pre1a := bn128.preComputeG1(g1a)
|
|
pre2a := bn128.preComputeG2(g2a)
|
|
assert.Nil(t, err)
|
|
pre1b := bn128.preComputeG1(g1b)
|
|
pre2b := bn128.preComputeG2(g2b)
|
|
assert.Nil(t, err)
|
|
|
|
r1 := bn128.MillerLoop(pre1a, pre2a)
|
|
r2 := bn128.MillerLoop(pre1b, pre2b)
|
|
|
|
rbe := bn128.Fq12.Mul(r1, bn128.Fq12.Inverse(r2))
|
|
|
|
res := bn128.finalExponentiation(rbe)
|
|
|
|
a := bn128.Fq12.Affine(res)
|
|
b := bn128.Fq12.Affine(bn128.Fq12.One())
|
|
|
|
assert.True(t, bn128.Fq12.Equal(a, b))
|
|
assert.True(t, bn128.Fq12.Equal(res, bn128.Fq12.One()))
|
|
}
|
|
|
|
func TestBN128Pairing(t *testing.T) {
|
|
bn128, err := NewBn128()
|
|
assert.Nil(t, err)
|
|
|
|
big25 := big.NewInt(int64(25))
|
|
big30 := big.NewInt(int64(30))
|
|
|
|
g1a := bn128.G1.MulScalar(bn128.G1.G, big25)
|
|
g2a := bn128.G2.MulScalar(bn128.G2.G, big30)
|
|
|
|
g1b := bn128.G1.MulScalar(bn128.G1.G, big30)
|
|
g2b := bn128.G2.MulScalar(bn128.G2.G, big25)
|
|
|
|
pA := bn128.Pairing(g1a, g2a)
|
|
pB := bn128.Pairing(g1b, g2b)
|
|
|
|
assert.True(t, bn128.Fq12.Equal(pA, pB))
|
|
|
|
assert.True(t, !bytes.Equal(pA[0][0][0].Bytes(), big.NewInt(int64(0)).Bytes()))
|
|
assert.True(t, !bytes.Equal(bn128.Fq12.Affine(pA)[0][0][0].Bytes(), big.NewInt(int64(0)).Bytes()))
|
|
// assert.Equal(t, pA[0][0][0].String(), "73680848340331011700282047627232219336104151861349893575958589557226556635706")
|
|
// assert.Equal(t, bn128.Fq12.Affine(pA)[0][0][0].String(), "8016119724813186033542830391460394070015218389456422587891475873290878009957")
|
|
}
|
|
|
|
func TestBN128Pairing2(t *testing.T) {
|
|
// test idea from https://bplib.readthedocs.io/en/latest/ by George Danezis
|
|
bn, err := NewBn128()
|
|
assert.Nil(t, err)
|
|
|
|
gt := bn.Pairing(bn.G1.G, bn.G2.G)
|
|
|
|
gt6 := bn.Fq12.Exp(gt, big.NewInt(int64(6)))
|
|
|
|
// e(g1, g2)^6 == e(g1, 6*g2)
|
|
assert.True(t, bn.Fq12.Equal(gt6, bn.Pairing(bn.G1.G, bn.G2.MulScalar(bn.G2.G, big.NewInt(int64(6))))))
|
|
|
|
// e(g1, g2)^6 == e(6* g1, g2)
|
|
assert.True(t, bn.Fq12.Equal(gt6, bn.Pairing(bn.G1.MulScalar(bn.G1.G, big.NewInt(int64(6))), bn.G2.G)))
|
|
// e(g1, g2)^6 == e(3*g1, 2*g2)
|
|
assert.True(t, bn.Fq12.Equal(gt6, bn.Pairing(bn.G1.MulScalar(bn.G1.G, big.NewInt(int64(3))), bn.G2.MulScalar(bn.G2.G, big.NewInt(int64(2))))))
|
|
// e(g1, g2)^6 == e(2*g1, 3*g2)
|
|
assert.True(t, bn.Fq12.Equal(gt6, bn.Pairing(bn.G1.MulScalar(bn.G1.G, big.NewInt(int64(2))), bn.G2.MulScalar(bn.G2.G, big.NewInt(int64(3))))))
|
|
|
|
}
|