github.com/clem109/go-ethereum@v1.8.3-0.20180316121352-fe6cf00f480a/crypto/bn256/cloudflare/main_test.go (about)

     1  // +build amd64,!appengine,!gccgo
     2  
     3  package bn256
     4  
     5  import (
     6  	"testing"
     7  
     8  	"crypto/rand"
     9  )
    10  
    11  func TestRandomG2Marshal(t *testing.T) {
    12  	for i := 0; i < 10; i++ {
    13  		n, g2, err := RandomG2(rand.Reader)
    14  		if err != nil {
    15  			t.Error(err)
    16  			continue
    17  		}
    18  		t.Logf("%d: %x\n", n, g2.Marshal())
    19  	}
    20  }
    21  
    22  func TestPairings(t *testing.T) {
    23  	a1 := new(G1).ScalarBaseMult(bigFromBase10("1"))
    24  	a2 := new(G1).ScalarBaseMult(bigFromBase10("2"))
    25  	a37 := new(G1).ScalarBaseMult(bigFromBase10("37"))
    26  	an1 := new(G1).ScalarBaseMult(bigFromBase10("21888242871839275222246405745257275088548364400416034343698204186575808495616"))
    27  
    28  	b0 := new(G2).ScalarBaseMult(bigFromBase10("0"))
    29  	b1 := new(G2).ScalarBaseMult(bigFromBase10("1"))
    30  	b2 := new(G2).ScalarBaseMult(bigFromBase10("2"))
    31  	b27 := new(G2).ScalarBaseMult(bigFromBase10("27"))
    32  	b999 := new(G2).ScalarBaseMult(bigFromBase10("999"))
    33  	bn1 := new(G2).ScalarBaseMult(bigFromBase10("21888242871839275222246405745257275088548364400416034343698204186575808495616"))
    34  
    35  	p1 := Pair(a1, b1)
    36  	pn1 := Pair(a1, bn1)
    37  	np1 := Pair(an1, b1)
    38  	if pn1.String() != np1.String() {
    39  		t.Error("Pairing mismatch: e(a, -b) != e(-a, b)")
    40  	}
    41  	if !PairingCheck([]*G1{a1, an1}, []*G2{b1, b1}) {
    42  		t.Error("MultiAte check gave false negative!")
    43  	}
    44  	p0 := new(GT).Add(p1, pn1)
    45  	p0_2 := Pair(a1, b0)
    46  	if p0.String() != p0_2.String() {
    47  		t.Error("Pairing mismatch: e(a, b) * e(a, -b) != 1")
    48  	}
    49  	p0_3 := new(GT).ScalarMult(p1, bigFromBase10("21888242871839275222246405745257275088548364400416034343698204186575808495617"))
    50  	if p0.String() != p0_3.String() {
    51  		t.Error("Pairing mismatch: e(a, b) has wrong order")
    52  	}
    53  	p2 := Pair(a2, b1)
    54  	p2_2 := Pair(a1, b2)
    55  	p2_3 := new(GT).ScalarMult(p1, bigFromBase10("2"))
    56  	if p2.String() != p2_2.String() {
    57  		t.Error("Pairing mismatch: e(a, b * 2) != e(a * 2, b)")
    58  	}
    59  	if p2.String() != p2_3.String() {
    60  		t.Error("Pairing mismatch: e(a, b * 2) != e(a, b) ** 2")
    61  	}
    62  	if p2.String() == p1.String() {
    63  		t.Error("Pairing is degenerate!")
    64  	}
    65  	if PairingCheck([]*G1{a1, a1}, []*G2{b1, b1}) {
    66  		t.Error("MultiAte check gave false positive!")
    67  	}
    68  	p999 := Pair(a37, b27)
    69  	p999_2 := Pair(a1, b999)
    70  	if p999.String() != p999_2.String() {
    71  		t.Error("Pairing mismatch: e(a * 37, b * 27) != e(a, b * 999)")
    72  	}
    73  }