github.com/linapex/ethereum-dpos-chinese@v0.0.0-20190316121959-b78b3a4a1ece/crypto/bn256/cloudflare/main_test.go (about)

     1  
     2  //<developer>
     3  //    <name>linapex 曹一峰</name>
     4  //    <email>linapex@163.com</email>
     5  //    <wx>superexc</wx>
     6  //    <qqgroup>128148617</qqgroup>
     7  //    <url>https://jsq.ink</url>
     8  //    <role>pku engineer</role>
     9  //    <date>2019-03-16 12:09:36</date>
    10  //</624342625482182656>
    11  
    12  package bn256
    13  
    14  import (
    15  	"testing"
    16  
    17  	"crypto/rand"
    18  )
    19  
    20  func TestRandomG2Marshal(t *testing.T) {
    21  	for i := 0; i < 10; i++ {
    22  		n, g2, err := RandomG2(rand.Reader)
    23  		if err != nil {
    24  			t.Error(err)
    25  			continue
    26  		}
    27  		t.Logf("%d: %x\n", n, g2.Marshal())
    28  	}
    29  }
    30  
    31  func TestPairings(t *testing.T) {
    32  	a1 := new(G1).ScalarBaseMult(bigFromBase10("1"))
    33  	a2 := new(G1).ScalarBaseMult(bigFromBase10("2"))
    34  	a37 := new(G1).ScalarBaseMult(bigFromBase10("37"))
    35  	an1 := new(G1).ScalarBaseMult(bigFromBase10("21888242871839275222246405745257275088548364400416034343698204186575808495616"))
    36  
    37  	b0 := new(G2).ScalarBaseMult(bigFromBase10("0"))
    38  	b1 := new(G2).ScalarBaseMult(bigFromBase10("1"))
    39  	b2 := new(G2).ScalarBaseMult(bigFromBase10("2"))
    40  	b27 := new(G2).ScalarBaseMult(bigFromBase10("27"))
    41  	b999 := new(G2).ScalarBaseMult(bigFromBase10("999"))
    42  	bn1 := new(G2).ScalarBaseMult(bigFromBase10("21888242871839275222246405745257275088548364400416034343698204186575808495616"))
    43  
    44  	p1 := Pair(a1, b1)
    45  	pn1 := Pair(a1, bn1)
    46  	np1 := Pair(an1, b1)
    47  	if pn1.String() != np1.String() {
    48  		t.Error("Pairing mismatch: e(a, -b) != e(-a, b)")
    49  	}
    50  	if !PairingCheck([]*G1{a1, an1}, []*G2{b1, b1}) {
    51  		t.Error("MultiAte check gave false negative!")
    52  	}
    53  	p0 := new(GT).Add(p1, pn1)
    54  	p0_2 := Pair(a1, b0)
    55  	if p0.String() != p0_2.String() {
    56  		t.Error("Pairing mismatch: e(a, b) * e(a, -b) != 1")
    57  	}
    58  	p0_3 := new(GT).ScalarMult(p1, bigFromBase10("21888242871839275222246405745257275088548364400416034343698204186575808495617"))
    59  	if p0.String() != p0_3.String() {
    60  		t.Error("Pairing mismatch: e(a, b) has wrong order")
    61  	}
    62  	p2 := Pair(a2, b1)
    63  	p2_2 := Pair(a1, b2)
    64  	p2_3 := new(GT).ScalarMult(p1, bigFromBase10("2"))
    65  	if p2.String() != p2_2.String() {
    66  		t.Error("Pairing mismatch: e(a, b * 2) != e(a * 2, b)")
    67  	}
    68  	if p2.String() != p2_3.String() {
    69  		t.Error("Pairing mismatch: e(a, b * 2) != e(a, b) ** 2")
    70  	}
    71  	if p2.String() == p1.String() {
    72  		t.Error("Pairing is degenerate!")
    73  	}
    74  	if PairingCheck([]*G1{a1, a1}, []*G2{b1, b1}) {
    75  		t.Error("MultiAte check gave false positive!")
    76  	}
    77  	p999 := Pair(a37, b27)
    78  	p999_2 := Pair(a1, b999)
    79  	if p999.String() != p999_2.String() {
    80  		t.Error("Pairing mismatch: e(a * 37, b * 27) != e(a, b * 999)")
    81  	}
    82  }
    83