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package prover
import ( "crypto/rand" "math/big" "testing" bn256 "github.com/ethereum/go-ethereum/crypto/bn256/cloudflare" "time" "bytes" "fmt" )
const ( N1 = 500 N2 = 500 )
func randomBigIntArray(n int) []*big.Int{ var p []*big.Int for i := 0; i < n; i++ { pi := randBI() p = append(p, pi) }
return p }
func randomG1Array(n int) []*bn256.G1 { arrayG1 := make([]*bn256.G1, n)
for i:=0; i<n; i++ { _, arrayG1[i], _ = bn256.RandomG1(rand.Reader) } return arrayG1 }
func randomG2Array(n int) []*bn256.G2 { arrayG2 := make([]*bn256.G2, n)
for i:=0; i<n; i++ { _, arrayG2[i], _ = bn256.RandomG2(rand.Reader) } return arrayG2 }
func TestTableG1(t *testing.T){ n := N1
// init scalar
var arrayW = randomBigIntArray(n) // init G1 array
var arrayG1 = randomG1Array(n)
beforeT := time.Now() Q1 := new(bn256.G1).ScalarBaseMult(new(big.Int)) for i:=0; i < n; i++ { Q1.Add(Q1, new(bn256.G1).ScalarMult(arrayG1[i], arrayW[i])) } fmt.Println("Std. Mult. time elapsed:", time.Since(beforeT))
for gsize:=2; gsize < 10; gsize++ { ntables := int((n + gsize - 1) / gsize) table := make([]TableG1, ntables)
for i:=0; i<ntables-1; i++ { table[i].NewTableG1( arrayG1[i*gsize:(i+1)*gsize], gsize) } table[ntables-1].NewTableG1( arrayG1[(ntables-1)*gsize:], gsize)
beforeT = time.Now() Q2:= new(bn256.G1).ScalarBaseMult(new(big.Int)) for i:=0; i<ntables-1; i++ { Q2 = table[i].MulTableG1(arrayW[i*gsize:(i+1)*gsize], Q2, gsize) } Q2 = table[ntables-1].MulTableG1(arrayW[(ntables-1)*gsize:], Q2, gsize) fmt.Printf("Gsize : %d, TMult time elapsed: %s\n", gsize,time.Since(beforeT))
beforeT = time.Now() Q3 := ScalarMultG1(arrayG1, arrayW, nil, gsize) fmt.Printf("Gsize : %d, TMult time elapsed (inc table comp): %s\n", gsize,time.Since(beforeT))
beforeT = time.Now() Q4 := MulTableNoDoubleG1(table, arrayW, nil, gsize) fmt.Printf("Gsize : %d, TMultNoDouble time elapsed: %s\n", gsize,time.Since(beforeT))
beforeT = time.Now() Q5 := ScalarMultNoDoubleG1(arrayG1, arrayW, nil, gsize) fmt.Printf("Gsize : %d, TMultNoDouble time elapsed (inc table comp): %s\n", gsize,time.Since(beforeT))
if bytes.Compare(Q1.Marshal(),Q2.Marshal()) != 0 { t.Error("Error in TMult") } if bytes.Compare(Q1.Marshal(),Q3.Marshal()) != 0 { t.Error("Error in TMult with table comp") } if bytes.Compare(Q1.Marshal(),Q4.Marshal()) != 0 { t.Error("Error in TMultNoDouble") } if bytes.Compare(Q1.Marshal(),Q5.Marshal()) != 0 { t.Error("Error in TMultNoDoublee with table comp") } } }
func TestTableG2(t *testing.T){ n := N2
// init scalar
var arrayW = randomBigIntArray(n) // init G2 array
var arrayG2 = randomG2Array(n)
beforeT := time.Now() Q1 := new(bn256.G2).ScalarBaseMult(new(big.Int)) for i:=0; i < n; i++ { Q1.Add(Q1, new(bn256.G2).ScalarMult(arrayG2[i], arrayW[i])) } fmt.Println("Std. Mult. time elapsed:", time.Since(beforeT))
for gsize:=2; gsize < 10; gsize++ { ntables := int((n + gsize - 1) / gsize) table := make([]TableG2, ntables)
for i:=0; i<ntables-1; i++ { table[i].NewTableG2( arrayG2[i*gsize:(i+1)*gsize], gsize) } table[ntables-1].NewTableG2( arrayG2[(ntables-1)*gsize:], gsize)
beforeT = time.Now() Q2:= new(bn256.G2).ScalarBaseMult(new(big.Int)) for i:=0; i<ntables-1; i++ { Q2 =table[i].MulTableG2(arrayW[i*gsize:(i+1)*gsize], Q2, gsize) } Q2 = table[ntables-1].MulTableG2(arrayW[(ntables-1)*gsize:], Q2, gsize) fmt.Printf("Gsize : %d, TMult time elapsed: %s\n", gsize,time.Since(beforeT))
beforeT = time.Now() Q3 := ScalarMultG2(arrayG2, arrayW, nil, gsize) fmt.Printf("Gsize : %d, TMult time elapsed (inc table comp): %s\n", gsize,time.Since(beforeT))
beforeT = time.Now() Q4 := MulTableNoDoubleG2(table, arrayW, nil, gsize) fmt.Printf("Gsize : %d, TMultNoDouble time elapsed: %s\n", gsize,time.Since(beforeT))
beforeT = time.Now() Q5 := ScalarMultNoDoubleG2(arrayG2, arrayW, nil, gsize) fmt.Printf("Gsize : %d, TMultNoDouble time elapsed (inc table comp): %s\n", gsize,time.Since(beforeT))
if bytes.Compare(Q1.Marshal(),Q2.Marshal()) != 0 { t.Error("Error in TMult") } if bytes.Compare(Q1.Marshal(),Q3.Marshal()) != 0 { t.Error("Error in TMult with table comp") } if bytes.Compare(Q1.Marshal(),Q4.Marshal()) != 0 { t.Error("Error in TMultNoDouble") } if bytes.Compare(Q1.Marshal(),Q5.Marshal()) != 0 { t.Error("Error in TMultNoDoublee with table comp") } } }
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