github.com/yinchengtsinghua/golang-Eos-dpos-Ethereum@v0.0.0-20190121132951-92cc4225ed8e/crypto/bn256/cloudflare/main_test.go (about)

     1  
     2  //此源码被清华学神尹成大魔王专业翻译分析并修改
     3  //尹成QQ77025077
     4  //尹成微信18510341407
     5  //尹成所在QQ群721929980
     6  //尹成邮箱 yinc13@mails.tsinghua.edu.cn
     7  //尹成毕业于清华大学,微软区块链领域全球最有价值专家
     8  //https://mvp.microsoft.com/zh-cn/PublicProfile/4033620
     9  package bn256
    10  
    11  import (
    12  	"testing"
    13  
    14  	"crypto/rand"
    15  )
    16  
    17  func TestRandomG2Marshal(t *testing.T) {
    18  	for i := 0; i < 10; i++ {
    19  		n, g2, err := RandomG2(rand.Reader)
    20  		if err != nil {
    21  			t.Error(err)
    22  			continue
    23  		}
    24  		t.Logf("%d: %x\n", n, g2.Marshal())
    25  	}
    26  }
    27  
    28  func TestPairings(t *testing.T) {
    29  	a1 := new(G1).ScalarBaseMult(bigFromBase10("1"))
    30  	a2 := new(G1).ScalarBaseMult(bigFromBase10("2"))
    31  	a37 := new(G1).ScalarBaseMult(bigFromBase10("37"))
    32  	an1 := new(G1).ScalarBaseMult(bigFromBase10("21888242871839275222246405745257275088548364400416034343698204186575808495616"))
    33  
    34  	b0 := new(G2).ScalarBaseMult(bigFromBase10("0"))
    35  	b1 := new(G2).ScalarBaseMult(bigFromBase10("1"))
    36  	b2 := new(G2).ScalarBaseMult(bigFromBase10("2"))
    37  	b27 := new(G2).ScalarBaseMult(bigFromBase10("27"))
    38  	b999 := new(G2).ScalarBaseMult(bigFromBase10("999"))
    39  	bn1 := new(G2).ScalarBaseMult(bigFromBase10("21888242871839275222246405745257275088548364400416034343698204186575808495616"))
    40  
    41  	p1 := Pair(a1, b1)
    42  	pn1 := Pair(a1, bn1)
    43  	np1 := Pair(an1, b1)
    44  	if pn1.String() != np1.String() {
    45  		t.Error("Pairing mismatch: e(a, -b) != e(-a, b)")
    46  	}
    47  	if !PairingCheck([]*G1{a1, an1}, []*G2{b1, b1}) {
    48  		t.Error("MultiAte check gave false negative!")
    49  	}
    50  	p0 := new(GT).Add(p1, pn1)
    51  	p0_2 := Pair(a1, b0)
    52  	if p0.String() != p0_2.String() {
    53  		t.Error("Pairing mismatch: e(a, b) * e(a, -b) != 1")
    54  	}
    55  	p0_3 := new(GT).ScalarMult(p1, bigFromBase10("21888242871839275222246405745257275088548364400416034343698204186575808495617"))
    56  	if p0.String() != p0_3.String() {
    57  		t.Error("Pairing mismatch: e(a, b) has wrong order")
    58  	}
    59  	p2 := Pair(a2, b1)
    60  	p2_2 := Pair(a1, b2)
    61  	p2_3 := new(GT).ScalarMult(p1, bigFromBase10("2"))
    62  	if p2.String() != p2_2.String() {
    63  		t.Error("Pairing mismatch: e(a, b * 2) != e(a * 2, b)")
    64  	}
    65  	if p2.String() != p2_3.String() {
    66  		t.Error("Pairing mismatch: e(a, b * 2) != e(a, b) ** 2")
    67  	}
    68  	if p2.String() == p1.String() {
    69  		t.Error("Pairing is degenerate!")
    70  	}
    71  	if PairingCheck([]*G1{a1, a1}, []*G2{b1, b1}) {
    72  		t.Error("MultiAte check gave false positive!")
    73  	}
    74  	p999 := Pair(a37, b27)
    75  	p999_2 := Pair(a1, b999)
    76  	if p999.String() != p999_2.String() {
    77  		t.Error("Pairing mismatch: e(a * 37, b * 27) != e(a, b * 999)")
    78  	}
    79  }