Add proof parsers to string (decimal & hex)

Also adds ProofToSmartContractFormat, which returns a ProofString as the
proof.B elements swap is not a valid point for the bn256.G2 format.

Also unexports internal structs and methods of the prover package.
Also apply golint.

parsers/parsers.go

@@ -467,8 +467,35 @@ func stringToG2(h [][]string) (*bn256.G2, error) {
 	return p, err
 }
 
-// ProofToJson outputs the Proof i Json format
+// ProofStringToSmartContractFormat converts the ProofString to a ProofString in the SmartContract format in a ProofString structure
-func ProofToJson(p *types.Proof) ([]byte, error) {
+func ProofStringToSmartContractFormat(s ProofString) ProofString {
+	var rs ProofString
+	rs.A = make([]string, 2)
+	rs.B = make([][]string, 2)
+	rs.B[0] = make([]string, 2)
+	rs.B[1] = make([]string, 2)
+	rs.C = make([]string, 2)
+
+	rs.A[0] = s.A[0]
+	rs.A[1] = s.A[1]
+	rs.B[0][0] = s.B[0][1]
+	rs.B[0][1] = s.B[0][0]
+	rs.B[1][0] = s.B[1][1]
+	rs.B[1][1] = s.B[1][0]
+	rs.C[0] = s.C[0]
+	rs.C[1] = s.C[1]
+	rs.Protocol = s.Protocol
+	return rs
+}
+
+// ProofToSmartContractFormat converts the *types.Proof to a ProofString in the SmartContract format in a ProofString structure
+func ProofToSmartContractFormat(p *types.Proof) ProofString {
+	s := ProofToString(p)
+	return ProofStringToSmartContractFormat(s)
+}
+
+// ProofToString converts the Proof to ProofString
+func ProofToString(p *types.Proof) ProofString {
 	var ps ProofString
 	ps.A = make([]string, 3)
 	ps.B = make([][]string, 3)
@@ -497,10 +524,55 @@ func ProofToJson(p *types.Proof) ([]byte, error) {
 
 	ps.Protocol = "groth"
 
+	return ps
+}
+
+// ProofToJson outputs the Proof i Json format
+func ProofToJson(p *types.Proof) ([]byte, error) {
+	ps := ProofToString(p)
 	return json.Marshal(ps)
 }
 
-// ParseWitness parses binary file representation of the Witness into the Witness struct
+// ProofToHex converts the Proof to ProofString with hexadecimal strings
+func ProofToHex(p *types.Proof) ProofString {
+	var ps ProofString
+	ps.A = make([]string, 3)
+	ps.B = make([][]string, 3)
+	ps.B[0] = make([]string, 2)
+	ps.B[1] = make([]string, 2)
+	ps.B[2] = make([]string, 2)
+	ps.C = make([]string, 3)
+
+	a := p.A.Marshal()
+	ps.A[0] = "0x" + hex.EncodeToString(new(big.Int).SetBytes(a[:32]).Bytes())
+	ps.A[1] = "0x" + hex.EncodeToString(new(big.Int).SetBytes(a[32:64]).Bytes())
+	ps.A[2] = "1"
+
+	b := p.B.Marshal()
+	ps.B[0][1] = "0x" + hex.EncodeToString(new(big.Int).SetBytes(b[:32]).Bytes())
+	ps.B[0][0] = "0x" + hex.EncodeToString(new(big.Int).SetBytes(b[32:64]).Bytes())
+	ps.B[1][1] = "0x" + hex.EncodeToString(new(big.Int).SetBytes(b[64:96]).Bytes())
+	ps.B[1][0] = "0x" + hex.EncodeToString(new(big.Int).SetBytes(b[96:128]).Bytes())
+	ps.B[2][0] = "1"
+	ps.B[2][1] = "0"
+
+	c := p.C.Marshal()
+	ps.C[0] = "0x" + hex.EncodeToString(new(big.Int).SetBytes(c[:32]).Bytes())
+	ps.C[1] = "0x" + hex.EncodeToString(new(big.Int).SetBytes(c[32:64]).Bytes())
+	ps.C[2] = "1"
+
+	ps.Protocol = "groth"
+
+	return ps
+}
+
+// ProofToJsonHex outputs the Proof i Json format with hexadecimal strings
+func ProofToJsonHex(p *types.Proof) ([]byte, error) {
+	ps := ProofToHex(p)
+	return json.Marshal(ps)
+}
+
+// ParseWitnessBin parses binary file representation of the Witness into the Witness struct
 func ParseWitnessBin(f *os.File) (types.Witness, error) {
 	var w types.Witness
 	r := bufio.NewReader(f)

parsers/parsers_test.go

@@ -172,3 +172,27 @@ func TestParseWitnessBin(t *testing.T) {
 	testCircuitParseWitnessBin(t, "circuit1k")
 	testCircuitParseWitnessBin(t, "circuit5k")
 }
+
+func TestProofSmartContractFormat(t *testing.T) {
+	proofJson, err := ioutil.ReadFile("../testdata/circuit1k/proof.json")
+	require.Nil(t, err)
+	proof, err := ParseProof(proofJson)
+	require.Nil(t, err)
+	pS := ProofToString(proof)
+
+	pSC := ProofToSmartContractFormat(proof)
+	assert.Nil(t, err)
+	assert.Equal(t, pS.A[0], pSC.A[0])
+	assert.Equal(t, pS.A[1], pSC.A[1])
+	assert.Equal(t, pS.B[0][0], pSC.B[0][1])
+	assert.Equal(t, pS.B[0][1], pSC.B[0][0])
+	assert.Equal(t, pS.B[1][0], pSC.B[1][1])
+	assert.Equal(t, pS.B[1][1], pSC.B[1][0])
+	assert.Equal(t, pS.C[0], pSC.C[0])
+	assert.Equal(t, pS.C[1], pSC.C[1])
+	assert.Equal(t, pS.Protocol, pSC.Protocol)
+
+	pSC2 := ProofStringToSmartContractFormat(pS)
+	assert.Equal(t, pSC, pSC2)
+
+}

prover/gextra.go

@@ -1,21 +1,20 @@
 package prover
 
 import (
-        "math/big"
+	"math/big"
+
 	bn256 "github.com/ethereum/go-ethereum/crypto/bn256/cloudflare"
 	cryptoConstants "github.com/iden3/go-iden3-crypto/constants"
 )
 
-type TableG1 struct{
+type tableG1 struct {
-   data []*bn256.G1
+	data []*bn256.G1
 }
 
-
+func (t tableG1) getData() []*bn256.G1 {
-func (t TableG1) GetData() []*bn256.G1 {
+	return t.data
-  return t.data
 }
 
-
 // Compute table of gsize elements as ::
 //  Table[0] = Inf
 //  Table[1] = a[0]
@@ -23,191 +22,202 @@ func (t TableG1) GetData() []*bn256.G1 {
 //  Table[3] = a[0]+a[1]
 //  .....
 //  Table[(1<<gsize)-1] = a[0]+a[1]+...+a[gsize-1]
-func (t *TableG1) NewTableG1(a []*bn256.G1, gsize int){
+func (t *tableG1) newTableG1(a []*bn256.G1, gsize int, toaffine bool) {
-   // EC table
+	// EC table
-   table := make([]*bn256.G1, 0)
+	table := make([]*bn256.G1, 0)
 
-   // We need at least gsize elements. If not enough, fill with 0
+	// We need at least gsize elements. If not enough, fill with 0
-   a_ext := make([]*bn256.G1, 0)
+	aExt := make([]*bn256.G1, 0)
-   a_ext = append(a_ext, a...)
+	aExt = append(aExt, a...)
 
-   for i:=len(a); i<gsize; i++ {
+	for i := len(a); i < gsize; i++ {
-      a_ext = append(a_ext,new(bn256.G1).ScalarBaseMult(big.NewInt(0)))
+		aExt = append(aExt, new(bn256.G1).ScalarBaseMult(big.NewInt(0)))
-   }
+	}
 
-   elG1 := new(bn256.G1).ScalarBaseMult(big.NewInt(0))
+	elG1 := new(bn256.G1).ScalarBaseMult(big.NewInt(0))
-   table = append(table,elG1)
+	table = append(table, elG1)
-   last_pow2 := 1
+	lastPow2 := 1
-   nelems := 0
+	nelems := 0
-   for i :=1; i< 1<<gsize; i++ {
+	for i := 1; i < 1<<gsize; i++ {
-      elG1 := new(bn256.G1)
+		elG1 := new(bn256.G1)
-      // if power of 2
+		// if power of 2
-      if i & (i-1) == 0{
+		if i&(i-1) == 0 {
-        last_pow2 = i
+			lastPow2 = i
-        elG1.Set(a_ext[nelems])
+			elG1.Set(aExt[nelems])
-        nelems++
+			nelems++
-      } else {
+		} else {
-        elG1.Add(table[last_pow2], table[i-last_pow2])
+			elG1.Add(table[lastPow2], table[i-lastPow2])
-        // TODO bn256 doesn't export MakeAffine function. We need to fork repo
+			// TODO bn256 doesn't export MakeAffine function. We need to fork repo
-        //table[i].MakeAffine()
+			//table[i].MakeAffine()
-      }
+		}
-      table = append(table, elG1)
+		table = append(table, elG1)
-  }
+	}
-  t.data = table
+	if toaffine {
+		for i := 0; i < len(table); i++ {
+			info := table[i].Marshal()
+			table[i].Unmarshal(info)
+		}
+	}
+	t.data = table
+}
+
+func (t tableG1) Marshal() []byte {
+	info := make([]byte, 0)
+	for _, el := range t.data {
+		info = append(info, el.Marshal()...)
+	}
+
+	return info
 }
 
 // Multiply scalar by precomputed table of G1 elements
-func (t *TableG1) MulTableG1(k []*big.Int, Q_prev *bn256.G1, gsize int) *bn256.G1 {
+func (t *tableG1) mulTableG1(k []*big.Int, qPrev *bn256.G1, gsize int) *bn256.G1 {
-   // We need at least gsize elements. If not enough, fill with 0
+	// We need at least gsize elements. If not enough, fill with 0
-   k_ext := make([]*big.Int, 0)
+	kExt := make([]*big.Int, 0)
-   k_ext = append(k_ext, k...)
+	kExt = append(kExt, k...)
 
-   for i:=len(k); i < gsize; i++ {
+	for i := len(k); i < gsize; i++ {
-      k_ext = append(k_ext,new(big.Int).SetUint64(0))
+		kExt = append(kExt, new(big.Int).SetUint64(0))
-   }
-
-   Q := new(bn256.G1).ScalarBaseMult(big.NewInt(0))
-
-   msb := getMsb(k_ext)
-
-   for i := msb-1; i >= 0; i-- {
-        // TODO. bn256 doesn't export double operation. We will need to fork repo and export it
-	Q = new(bn256.G1).Add(Q,Q)
-        b := getBit(k_ext,i)
-	if b != 0 {
-          // TODO. bn256 doesn't export mixed addition (Jacobian + Affine), which is more efficient.
-	  Q.Add(Q, t.data[b])
 	}
-   }
+
-   if Q_prev != nil {
+	Q := new(bn256.G1).ScalarBaseMult(big.NewInt(0))
-     return Q.Add(Q,Q_prev)
+
-   } else {
+	msb := getMsb(kExt)
-     return Q
+
-   }
+	for i := msb - 1; i >= 0; i-- {
+		// TODO. bn256 doesn't export double operation. We will need to fork repo and export it
+		Q = new(bn256.G1).Add(Q, Q)
+		b := getBit(kExt, i)
+		if b != 0 {
+			// TODO. bn256 doesn't export mixed addition (Jacobian + Affine), which is more efficient.
+			Q.Add(Q, t.data[b])
+		}
+	}
+	if qPrev != nil {
+		return Q.Add(Q, qPrev)
+	}
+	return Q
 }
 
 // Multiply scalar by precomputed table of G1 elements without intermediate doubling
-func MulTableNoDoubleG1(t []TableG1, k []*big.Int,  Q_prev *bn256.G1, gsize int) *bn256.G1 {
+func mulTableNoDoubleG1(t []tableG1, k []*big.Int, qPrev *bn256.G1, gsize int) *bn256.G1 {
-   // We need at least gsize elements. If not enough, fill with 0
+	// We need at least gsize elements. If not enough, fill with 0
-   min_nelems := len(t) * gsize
+	minNElems := len(t) * gsize
-   k_ext := make([]*big.Int, 0)
+	kExt := make([]*big.Int, 0)
-   k_ext = append(k_ext, k...)
+	kExt = append(kExt, k...)
-   for i := len(k); i <  min_nelems; i++ {
+	for i := len(k); i < minNElems; i++ {
-      k_ext = append(k_ext,new(big.Int).SetUint64(0))
+		kExt = append(kExt, new(big.Int).SetUint64(0))
-   }
-   // Init Adders
-   nbitsQ := cryptoConstants.Q.BitLen()
-   Q := make([]*bn256.G1,nbitsQ)
-
-   for i:=0; i< nbitsQ; i++ {
-     Q[i] = new(bn256.G1).ScalarBaseMult(big.NewInt(0))
-   }
-
-   // Perform bitwise addition
-   for j:=0; j < len(t); j++ {
-     msb := getMsb(k_ext[j*gsize:(j+1)*gsize])
-
-     for i := msb-1; i >= 0; i-- {
-        b := getBit(k_ext[j*gsize:(j+1)*gsize],i)
-	if b != 0 {
-          // TODO. bn256 doesn't export mixed addition (Jacobian + Affine), which is more efficient.
-	  Q[i].Add(Q[i], t[j].data[b])
 	}
-     }
+	// Init Adders
-   }
+	nbitsQ := cryptoConstants.Q.BitLen()
+	Q := make([]*bn256.G1, nbitsQ)
 
-   // Consolidate Addition
+	for i := 0; i < nbitsQ; i++ {
-   R := new(bn256.G1).Set(Q[nbitsQ-1])
+		Q[i] = new(bn256.G1).ScalarBaseMult(big.NewInt(0))
-   for i:=nbitsQ-1; i>0; i-- {
+	}
-      // TODO. bn256 doesn't export double operation. We will need to fork repo and export it
-      R = new(bn256.G1).Add(R,R)
-      R.Add(R,Q[i-1])
-   }
 
-   if Q_prev != nil {
+	// Perform bitwise addition
-      return R.Add(R,Q_prev)
+	for j := 0; j < len(t); j++ {
-   } else {
+		msb := getMsb(kExt[j*gsize : (j+1)*gsize])
-      return R
+
-   }
+		for i := msb - 1; i >= 0; i-- {
+			b := getBit(kExt[j*gsize:(j+1)*gsize], i)
+			if b != 0 {
+				// TODO. bn256 doesn't export mixed addition (Jacobian + Affine), which is more efficient.
+				Q[i].Add(Q[i], t[j].data[b])
+			}
+		}
+	}
+
+	// Consolidate Addition
+	R := new(bn256.G1).Set(Q[nbitsQ-1])
+	for i := nbitsQ - 1; i > 0; i-- {
+		// TODO. bn256 doesn't export double operation. We will need to fork repo and export it
+		R = new(bn256.G1).Add(R, R)
+		R.Add(R, Q[i-1])
+	}
+
+	if qPrev != nil {
+		return R.Add(R, qPrev)
+	}
+	return R
 }
 
 // Compute tables within function. This solution should still be faster than std  multiplication
 // for gsize = 7
-func ScalarMultG1(a []*bn256.G1, k []*big.Int, Q_prev *bn256.G1, gsize int) *bn256.G1 {
+func scalarMultG1(a []*bn256.G1, k []*big.Int, qPrev *bn256.G1, gsize int) *bn256.G1 {
-     ntables := int((len(a) + gsize - 1) / gsize)
+	ntables := int((len(a) + gsize - 1) / gsize)
-     table := TableG1{}
+	table := tableG1{}
-     Q:= new(bn256.G1).ScalarBaseMult(new(big.Int))
+	Q := new(bn256.G1).ScalarBaseMult(new(big.Int))
 
-     for i:=0; i<ntables-1; i++ {
+	for i := 0; i < ntables-1; i++ {
-       table.NewTableG1( a[i*gsize:(i+1)*gsize], gsize)
+		table.newTableG1(a[i*gsize:(i+1)*gsize], gsize, false)
-       Q = table.MulTableG1(k[i*gsize:(i+1)*gsize], Q, gsize)
+		Q = table.mulTableG1(k[i*gsize:(i+1)*gsize], Q, gsize)
-     }
+	}
-     table.NewTableG1( a[(ntables-1)*gsize:], gsize)
+	table.newTableG1(a[(ntables-1)*gsize:], gsize, false)
-     Q = table.MulTableG1(k[(ntables-1)*gsize:], Q, gsize)
+	Q = table.mulTableG1(k[(ntables-1)*gsize:], Q, gsize)
 
-     if Q_prev != nil {
+	if qPrev != nil {
-        return Q.Add(Q,Q_prev)
+		return Q.Add(Q, qPrev)
-     } else {
+	}
-        return Q
+	return Q
-     }
 }
 
 // Multiply scalar by precomputed table of G1 elements without intermediate doubling
-func ScalarMultNoDoubleG1(a []*bn256.G1, k []*big.Int, Q_prev *bn256.G1, gsize int) *bn256.G1 {
+func scalarMultNoDoubleG1(a []*bn256.G1, k []*big.Int, qPrev *bn256.G1, gsize int) *bn256.G1 {
-   ntables := int((len(a) + gsize - 1) / gsize)
+	ntables := int((len(a) + gsize - 1) / gsize)
-   table := TableG1{}
+	table := tableG1{}
 
-   // We need at least gsize elements. If not enough, fill with 0
+	// We need at least gsize elements. If not enough, fill with 0
-   min_nelems := ntables * gsize
+	minNElems := ntables * gsize
-   k_ext := make([]*big.Int, 0)
+	kExt := make([]*big.Int, 0)
-   k_ext = append(k_ext, k...)
+	kExt = append(kExt, k...)
-   for i := len(k); i <  min_nelems; i++ {
+	for i := len(k); i < minNElems; i++ {
-      k_ext = append(k_ext,new(big.Int).SetUint64(0))
+		kExt = append(kExt, new(big.Int).SetUint64(0))
-   }
-   // Init Adders
-   nbitsQ := cryptoConstants.Q.BitLen()
-   Q := make([]*bn256.G1,nbitsQ)
-
-   for i:=0; i< nbitsQ; i++ {
-     Q[i] = new(bn256.G1).ScalarBaseMult(big.NewInt(0))
-   }
-
-   // Perform bitwise addition
-   for j:=0; j < ntables-1; j++ {
-     table.NewTableG1( a[j*gsize:(j+1)*gsize], gsize)
-     msb := getMsb(k_ext[j*gsize:(j+1)*gsize])
-
-     for i := msb-1; i >= 0; i-- {
-        b := getBit(k_ext[j*gsize:(j+1)*gsize],i)
-	if b != 0 {
-          // TODO. bn256 doesn't export mixed addition (Jacobian + Affine), which is more efficient.
-	  Q[i].Add(Q[i], table.data[b])
 	}
-     }
+	// Init Adders
-   }
+	nbitsQ := cryptoConstants.Q.BitLen()
-   table.NewTableG1( a[(ntables-1)*gsize:], gsize)
+	Q := make([]*bn256.G1, nbitsQ)
-   msb := getMsb(k_ext[(ntables-1)*gsize:])
 
-   for i := msb-1; i >= 0; i-- {
+	for i := 0; i < nbitsQ; i++ {
-     b := getBit(k_ext[(ntables-1)*gsize:],i)
+		Q[i] = new(bn256.G1).ScalarBaseMult(big.NewInt(0))
-     if b != 0 {
+	}
-         // TODO. bn256 doesn't export mixed addition (Jacobian + Affine), which is more efficient.
-         Q[i].Add(Q[i], table.data[b])
-     }
-   }
 
-   // Consolidate Addition
+	// Perform bitwise addition
-   R := new(bn256.G1).Set(Q[nbitsQ-1])
+	for j := 0; j < ntables-1; j++ {
-   for i:=nbitsQ-1; i>0; i-- {
+		table.newTableG1(a[j*gsize:(j+1)*gsize], gsize, false)
-      // TODO. bn256 doesn't export double operation. We will need to fork repo and export it
+		msb := getMsb(kExt[j*gsize : (j+1)*gsize])
-      R = new(bn256.G1).Add(R,R)
+
-      R.Add(R,Q[i-1])
+		for i := msb - 1; i >= 0; i-- {
-   }
+			b := getBit(kExt[j*gsize:(j+1)*gsize], i)
-   if Q_prev != nil {
+			if b != 0 {
-     return R.Add(R,Q_prev)
+				// TODO. bn256 doesn't export mixed addition (Jacobian + Affine), which is more efficient.
-   } else {
+				Q[i].Add(Q[i], table.data[b])
-     return R
+			}
-   }
+		}
+	}
+	table.newTableG1(a[(ntables-1)*gsize:], gsize, false)
+	msb := getMsb(kExt[(ntables-1)*gsize:])
+
+	for i := msb - 1; i >= 0; i-- {
+		b := getBit(kExt[(ntables-1)*gsize:], i)
+		if b != 0 {
+			// TODO. bn256 doesn't export mixed addition (Jacobian + Affine), which is more efficient.
+			Q[i].Add(Q[i], table.data[b])
+		}
+	}
+
+	// Consolidate Addition
+	R := new(bn256.G1).Set(Q[nbitsQ-1])
+	for i := nbitsQ - 1; i > 0; i-- {
+		// TODO. bn256 doesn't export double operation. We will need to fork repo and export it
+		R = new(bn256.G1).Add(R, R)
+		R.Add(R, Q[i-1])
+	}
+	if qPrev != nil {
+		return R.Add(R, qPrev)
+	}
+	return R
 }
 
 /////
@@ -215,16 +225,14 @@ func ScalarMultNoDoubleG1(a []*bn256.G1, k []*big.Int, Q_prev *bn256.G1, gsize i
 // TODO - How can avoid replicating code in G2?
 //G2
 
-type TableG2 struct{
+type tableG2 struct {
-   data []*bn256.G2
+	data []*bn256.G2
 }
 
-
+func (t tableG2) getData() []*bn256.G2 {
-func (t TableG2) GetData() []*bn256.G2 {
+	return t.data
-  return t.data
 }
 
-
 // Compute table of gsize elements as ::
 //  Table[0] = Inf
 //  Table[1] = a[0]
@@ -232,212 +240,224 @@ func (t TableG2) GetData() []*bn256.G2 {
 //  Table[3] = a[0]+a[1]
 //  .....
 //  Table[(1<<gsize)-1] = a[0]+a[1]+...+a[gsize-1]
-func (t *TableG2) NewTableG2(a []*bn256.G2, gsize int){
+// TODO -> toaffine = True doesnt work. Problem with Marshal/Unmarshal
-   // EC table
+func (t *tableG2) newTableG2(a []*bn256.G2, gsize int, toaffine bool) {
-   table := make([]*bn256.G2, 0)
+	// EC table
+	table := make([]*bn256.G2, 0)
 
-   // We need at least gsize elements. If not enough, fill with 0
+	// We need at least gsize elements. If not enough, fill with 0
-   a_ext := make([]*bn256.G2, 0)
+	aExt := make([]*bn256.G2, 0)
-   a_ext = append(a_ext, a...)
+	aExt = append(aExt, a...)
 
-   for i:=len(a); i<gsize; i++ {
+	for i := len(a); i < gsize; i++ {
-      a_ext = append(a_ext,new(bn256.G2).ScalarBaseMult(big.NewInt(0)))
+		aExt = append(aExt, new(bn256.G2).ScalarBaseMult(big.NewInt(0)))
-   }
+	}
 
-   elG2 := new(bn256.G2).ScalarBaseMult(big.NewInt(0))
+	elG2 := new(bn256.G2).ScalarBaseMult(big.NewInt(0))
-   table = append(table,elG2)
+	table = append(table, elG2)
-   last_pow2 := 1
+	lastPow2 := 1
-   nelems := 0
+	nelems := 0
-   for i :=1; i< 1<<gsize; i++ {
+	for i := 1; i < 1<<gsize; i++ {
-      elG2 := new(bn256.G2)
+		elG2 := new(bn256.G2)
-      // if power of 2
+		// if power of 2
-      if i & (i-1) == 0{
+		if i&(i-1) == 0 {
-        last_pow2 = i
+			lastPow2 = i
-        elG2.Set(a_ext[nelems])
+			elG2.Set(aExt[nelems])
-        nelems++
+			nelems++
-      } else {
+		} else {
-        elG2.Add(table[last_pow2], table[i-last_pow2])
+			elG2.Add(table[lastPow2], table[i-lastPow2])
-        // TODO bn256 doesn't export MakeAffine function. We need to fork repo
+			// TODO bn256 doesn't export MakeAffine function. We need to fork repo
-        //table[i].MakeAffine()
+			//table[i].MakeAffine()
-      }
+		}
-      table = append(table, elG2)
+		table = append(table, elG2)
-  }
+	}
-  t.data = table
+	if toaffine {
+		for i := 0; i < len(table); i++ {
+			info := table[i].Marshal()
+			table[i].Unmarshal(info)
+		}
+	}
+	t.data = table
+}
+
+func (t tableG2) Marshal() []byte {
+	info := make([]byte, 0)
+	for _, el := range t.data {
+		info = append(info, el.Marshal()...)
+	}
+
+	return info
 }
 
 // Multiply scalar by precomputed table of G2 elements
-func (t *TableG2) MulTableG2(k []*big.Int, Q_prev *bn256.G2, gsize int) *bn256.G2 {
+func (t *tableG2) mulTableG2(k []*big.Int, qPrev *bn256.G2, gsize int) *bn256.G2 {
-   // We need at least gsize elements. If not enough, fill with 0
+	// We need at least gsize elements. If not enough, fill with 0
-   k_ext := make([]*big.Int, 0)
+	kExt := make([]*big.Int, 0)
-   k_ext = append(k_ext, k...)
+	kExt = append(kExt, k...)
 
-   for i:=len(k); i < gsize; i++ {
+	for i := len(k); i < gsize; i++ {
-      k_ext = append(k_ext,new(big.Int).SetUint64(0))
+		kExt = append(kExt, new(big.Int).SetUint64(0))
-   }
-
-   Q := new(bn256.G2).ScalarBaseMult(big.NewInt(0))
-
-   msb := getMsb(k_ext)
-
-   for i := msb-1; i >= 0; i-- {
-        // TODO. bn256 doesn't export double operation. We will need to fork repo and export it
-	Q = new(bn256.G2).Add(Q,Q)
-        b := getBit(k_ext,i)
-	if b != 0 {
-          // TODO. bn256 doesn't export mixed addition (Jacobian + Affine), which is more efficient.
-	  Q.Add(Q, t.data[b])
 	}
-   }
+
-   if Q_prev != nil {
+	Q := new(bn256.G2).ScalarBaseMult(big.NewInt(0))
-     return Q.Add(Q, Q_prev)
+
-   } else {
+	msb := getMsb(kExt)
-     return Q
+
-   }
+	for i := msb - 1; i >= 0; i-- {
+		// TODO. bn256 doesn't export double operation. We will need to fork repo and export it
+		Q = new(bn256.G2).Add(Q, Q)
+		b := getBit(kExt, i)
+		if b != 0 {
+			// TODO. bn256 doesn't export mixed addition (Jacobian + Affine), which is more efficient.
+			Q.Add(Q, t.data[b])
+		}
+	}
+	if qPrev != nil {
+		return Q.Add(Q, qPrev)
+	}
+	return Q
 }
 
 // Multiply scalar by precomputed table of G2 elements without intermediate doubling
-func MulTableNoDoubleG2(t []TableG2, k []*big.Int, Q_prev *bn256.G2, gsize int) *bn256.G2 {
+func mulTableNoDoubleG2(t []tableG2, k []*big.Int, qPrev *bn256.G2, gsize int) *bn256.G2 {
-   // We need at least gsize elements. If not enough, fill with 0
+	// We need at least gsize elements. If not enough, fill with 0
-   min_nelems := len(t) * gsize
+	minNElems := len(t) * gsize
-   k_ext := make([]*big.Int, 0)
+	kExt := make([]*big.Int, 0)
-   k_ext = append(k_ext, k...)
+	kExt = append(kExt, k...)
-   for i := len(k); i <  min_nelems; i++ {
+	for i := len(k); i < minNElems; i++ {
-      k_ext = append(k_ext,new(big.Int).SetUint64(0))
+		kExt = append(kExt, new(big.Int).SetUint64(0))
-   }
-   // Init Adders
-   nbitsQ := cryptoConstants.Q.BitLen()
-   Q := make([]*bn256.G2,nbitsQ)
-
-   for i:=0; i< nbitsQ; i++ {
-     Q[i] = new(bn256.G2).ScalarBaseMult(big.NewInt(0))
-   }
-
-   // Perform bitwise addition
-   for j:=0; j < len(t); j++ {
-     msb := getMsb(k_ext[j*gsize:(j+1)*gsize])
-
-     for i := msb-1; i >= 0; i-- {
-        b := getBit(k_ext[j*gsize:(j+1)*gsize],i)
-	if b != 0 {
-          // TODO. bn256 doesn't export mixed addition (Jacobian + Affine), which is more efficient.
-	  Q[i].Add(Q[i], t[j].data[b])
 	}
-     }
+	// Init Adders
-   }
+	nbitsQ := cryptoConstants.Q.BitLen()
+	Q := make([]*bn256.G2, nbitsQ)
 
-   // Consolidate Addition
+	for i := 0; i < nbitsQ; i++ {
-   R := new(bn256.G2).Set(Q[nbitsQ-1])
+		Q[i] = new(bn256.G2).ScalarBaseMult(big.NewInt(0))
-   for i:=nbitsQ-1; i>0; i-- {
+	}
-      // TODO. bn256 doesn't export double operation. We will need to fork repo and export it
+
-      R = new(bn256.G2).Add(R,R)
+	// Perform bitwise addition
-      R.Add(R,Q[i-1])
+	for j := 0; j < len(t); j++ {
-   }
+		msb := getMsb(kExt[j*gsize : (j+1)*gsize])
-   if Q_prev != nil {
+
-     return R.Add(R,Q_prev)
+		for i := msb - 1; i >= 0; i-- {
-   } else {
+			b := getBit(kExt[j*gsize:(j+1)*gsize], i)
-     return R
+			if b != 0 {
-   }
+				// TODO. bn256 doesn't export mixed addition (Jacobian + Affine), which is more efficient.
+				Q[i].Add(Q[i], t[j].data[b])
+			}
+		}
+	}
+
+	// Consolidate Addition
+	R := new(bn256.G2).Set(Q[nbitsQ-1])
+	for i := nbitsQ - 1; i > 0; i-- {
+		// TODO. bn256 doesn't export double operation. We will need to fork repo and export it
+		R = new(bn256.G2).Add(R, R)
+		R.Add(R, Q[i-1])
+	}
+	if qPrev != nil {
+		return R.Add(R, qPrev)
+	}
+	return R
 }
 
 // Compute tables within function. This solution should still be faster than std  multiplication
 // for gsize = 7
-func ScalarMultG2(a []*bn256.G2, k []*big.Int, Q_prev *bn256.G2, gsize int) *bn256.G2 {
+func scalarMultG2(a []*bn256.G2, k []*big.Int, qPrev *bn256.G2, gsize int) *bn256.G2 {
-     ntables := int((len(a) + gsize - 1) / gsize)
+	ntables := int((len(a) + gsize - 1) / gsize)
-     table := TableG2{}
+	table := tableG2{}
-     Q:= new(bn256.G2).ScalarBaseMult(new(big.Int))
+	Q := new(bn256.G2).ScalarBaseMult(new(big.Int))
 
-     for i:=0; i<ntables-1; i++ {
+	for i := 0; i < ntables-1; i++ {
-       table.NewTableG2( a[i*gsize:(i+1)*gsize], gsize)
+		table.newTableG2(a[i*gsize:(i+1)*gsize], gsize, false)
-       Q = table.MulTableG2(k[i*gsize:(i+1)*gsize], Q, gsize)
+		Q = table.mulTableG2(k[i*gsize:(i+1)*gsize], Q, gsize)
-     }
+	}
-     table.NewTableG2( a[(ntables-1)*gsize:], gsize)
+	table.newTableG2(a[(ntables-1)*gsize:], gsize, false)
-     Q = table.MulTableG2(k[(ntables-1)*gsize:], Q, gsize)
+	Q = table.mulTableG2(k[(ntables-1)*gsize:], Q, gsize)
 
-     if Q_prev != nil {
+	if qPrev != nil {
-       return Q.Add(Q,Q_prev)
+		return Q.Add(Q, qPrev)
-     } else {
+	}
-       return Q
+	return Q
-     }
 }
 
 // Multiply scalar by precomputed table of G2 elements without intermediate doubling
-func ScalarMultNoDoubleG2(a []*bn256.G2, k []*big.Int, Q_prev *bn256.G2, gsize int) *bn256.G2 {
+func scalarMultNoDoubleG2(a []*bn256.G2, k []*big.Int, qPrev *bn256.G2, gsize int) *bn256.G2 {
-   ntables := int((len(a) + gsize - 1) / gsize)
+	ntables := int((len(a) + gsize - 1) / gsize)
-   table := TableG2{}
+	table := tableG2{}
 
-   // We need at least gsize elements. If not enough, fill with 0
+	// We need at least gsize elements. If not enough, fill with 0
-   min_nelems := ntables * gsize
+	minNElems := ntables * gsize
-   k_ext := make([]*big.Int, 0)
+	kExt := make([]*big.Int, 0)
-   k_ext = append(k_ext, k...)
+	kExt = append(kExt, k...)
-   for i := len(k); i <  min_nelems; i++ {
+	for i := len(k); i < minNElems; i++ {
-      k_ext = append(k_ext,new(big.Int).SetUint64(0))
+		kExt = append(kExt, new(big.Int).SetUint64(0))
-   }
-   // Init Adders
-   nbitsQ := cryptoConstants.Q.BitLen()
-   Q := make([]*bn256.G2,nbitsQ)
-
-   for i:=0; i< nbitsQ; i++ {
-     Q[i] = new(bn256.G2).ScalarBaseMult(big.NewInt(0))
-   }
-
-   // Perform bitwise addition
-   for j:=0; j < ntables-1; j++ {
-     table.NewTableG2( a[j*gsize:(j+1)*gsize], gsize)
-     msb := getMsb(k_ext[j*gsize:(j+1)*gsize])
-
-     for i := msb-1; i >= 0; i-- {
-        b := getBit(k_ext[j*gsize:(j+1)*gsize],i)
-	if b != 0 {
-          // TODO. bn256 doesn't export mixed addition (Jacobian + Affine), which is more efficient.
-	  Q[i].Add(Q[i], table.data[b])
 	}
-     }
+	// Init Adders
-   }
+	nbitsQ := cryptoConstants.Q.BitLen()
-   table.NewTableG2( a[(ntables-1)*gsize:], gsize)
+	Q := make([]*bn256.G2, nbitsQ)
-   msb := getMsb(k_ext[(ntables-1)*gsize:])
 
-   for i := msb-1; i >= 0; i-- {
+	for i := 0; i < nbitsQ; i++ {
-     b := getBit(k_ext[(ntables-1)*gsize:],i)
+		Q[i] = new(bn256.G2).ScalarBaseMult(big.NewInt(0))
-     if b != 0 {
+	}
-         // TODO. bn256 doesn't export mixed addition (Jacobian + Affine), which is more efficient.
-         Q[i].Add(Q[i], table.data[b])
-     }
-   }
 
-   // Consolidate Addition
+	// Perform bitwise addition
-   R := new(bn256.G2).Set(Q[nbitsQ-1])
+	for j := 0; j < ntables-1; j++ {
-   for i:=nbitsQ-1; i>0; i-- {
+		table.newTableG2(a[j*gsize:(j+1)*gsize], gsize, false)
-      // TODO. bn256 doesn't export double operation. We will need to fork repo and export it
+		msb := getMsb(kExt[j*gsize : (j+1)*gsize])
-      R = new(bn256.G2).Add(R,R)
+
-      R.Add(R,Q[i-1])
+		for i := msb - 1; i >= 0; i-- {
-   }
+			b := getBit(kExt[j*gsize:(j+1)*gsize], i)
-   if Q_prev != nil {
+			if b != 0 {
-     return R.Add(R,Q_prev)
+				// TODO. bn256 doesn't export mixed addition (Jacobian + Affine), which is more efficient.
-   } else {
+				Q[i].Add(Q[i], table.data[b])
-     return R
+			}
-   }
+		}
+	}
+	table.newTableG2(a[(ntables-1)*gsize:], gsize, false)
+	msb := getMsb(kExt[(ntables-1)*gsize:])
+
+	for i := msb - 1; i >= 0; i-- {
+		b := getBit(kExt[(ntables-1)*gsize:], i)
+		if b != 0 {
+			// TODO. bn256 doesn't export mixed addition (Jacobian + Affine), which is more efficient.
+			Q[i].Add(Q[i], table.data[b])
+		}
+	}
+
+	// Consolidate Addition
+	R := new(bn256.G2).Set(Q[nbitsQ-1])
+	for i := nbitsQ - 1; i > 0; i-- {
+		// TODO. bn256 doesn't export double operation. We will need to fork repo and export it
+		R = new(bn256.G2).Add(R, R)
+		R.Add(R, Q[i-1])
+	}
+	if qPrev != nil {
+		return R.Add(R, qPrev)
+	}
+	return R
 }
 
 // Return most significant bit position in a group of Big Integers
-func getMsb(k []*big.Int) int{
+func getMsb(k []*big.Int) int {
-  msb := 0
+	msb := 0
 
-  for _, el := range(k){
+	for _, el := range k {
-     tmp_msb := el.BitLen()
+		tmpMsb := el.BitLen()
-     if tmp_msb > msb {
+		if tmpMsb > msb {
-        msb = tmp_msb
+			msb = tmpMsb
-     }
+		}
-  }
+	}
-  return msb
+	return msb
 }
 
 // Return ith bit in group of Big Integers
 func getBit(k []*big.Int, i int) uint {
-   table_idx := uint(0)
+	tableIdx := uint(0)
 
-   for idx, el := range(k){
+	for idx, el := range k {
-     b := el.Bit(i)
+		b := el.Bit(i)
-     table_idx += (b << idx)
+		tableIdx += (b << idx)
-   }
+	}
-   return table_idx
+	return tableIdx
 }

prover/gextra_test.go

@@ -1,166 +1,163 @@
 package prover
 
 import (
+	"bytes"
 	"crypto/rand"
+	"fmt"
 	"math/big"
 	"testing"
+	"time"
+
 	bn256 "github.com/ethereum/go-ethereum/crypto/bn256/cloudflare"
-        "time"
-        "bytes"
-        "fmt"
 )
 
 const (
-       N1 = 5000
+	N1 = 5000
-       N2 = 5000
+	N2 = 5000
 )
 
-func randomBigIntArray(n int) []*big.Int{
+func randomBigIntArray(n int) []*big.Int {
 	var p []*big.Int
 	for i := 0; i < n; i++ {
 		pi := randBI()
 		p = append(p, pi)
 	}
 
-        return p
+	return p
 }
 
 func randomG1Array(n int) []*bn256.G1 {
-     arrayG1 := make([]*bn256.G1, n)
+	arrayG1 := make([]*bn256.G1, n)
 
-     for i:=0; i<n; i++ {
+	for i := 0; i < n; i++ {
-       _, arrayG1[i], _ = bn256.RandomG1(rand.Reader)
+		_, arrayG1[i], _ = bn256.RandomG1(rand.Reader)
-     }
+	}
-     return arrayG1
+	return arrayG1
 }
 
 func randomG2Array(n int) []*bn256.G2 {
-     arrayG2 := make([]*bn256.G2, n)
+	arrayG2 := make([]*bn256.G2, n)
 
-     for i:=0; i<n; i++ {
+	for i := 0; i < n; i++ {
-       _, arrayG2[i], _ = bn256.RandomG2(rand.Reader)
+		_, arrayG2[i], _ = bn256.RandomG2(rand.Reader)
-     }
+	}
-     return arrayG2
+	return arrayG2
 }
 
+func TestTableG1(t *testing.T) {
+	n := N1
 
+	// init scalar
+	var arrayW = randomBigIntArray(n)
+	// init G1 array
+	var arrayG1 = randomG1Array(n)
 
-func TestTableG1(t *testing.T){
+	beforeT := time.Now()
-     n     := N1
+	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))
 
-     // init scalar
+	for gsize := 2; gsize < 10; gsize++ {
-     var arrayW = randomBigIntArray(n)
+		ntables := int((n + gsize - 1) / gsize)
-     // init G1 array
+		table := make([]tableG1, ntables)
-     var arrayG1 = randomG1Array(n)
 
-     beforeT := time.Now()
+		for i := 0; i < ntables-1; i++ {
-     Q1 := new(bn256.G1).ScalarBaseMult(new(big.Int))
+			table[i].newTableG1(arrayG1[i*gsize:(i+1)*gsize], gsize, true)
-     for i:=0; i < n; i++ {
+		}
-         Q1.Add(Q1, new(bn256.G1).ScalarMult(arrayG1[i], arrayW[i]))
+		table[ntables-1].newTableG1(arrayG1[(ntables-1)*gsize:], gsize, true)
-     }
-     fmt.Println("Std. Mult. time elapsed:", time.Since(beforeT))
 
-     for gsize:=2; gsize < 10; gsize++ {
+		beforeT = time.Now()
-        ntables := int((n + gsize - 1) / gsize)
+		Q2 := new(bn256.G1).ScalarBaseMult(new(big.Int))
-        table := make([]TableG1, ntables)
+		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))
 
-        for i:=0; i<ntables-1; i++ {
+		beforeT = time.Now()
-          table[i].NewTableG1( arrayG1[i*gsize:(i+1)*gsize], gsize)
+		Q3 := scalarMultG1(arrayG1, arrayW, nil, gsize)
-        }
+		fmt.Printf("Gsize : %d, TMult time elapsed (inc table comp): %s\n", gsize, time.Since(beforeT))
-        table[ntables-1].NewTableG1( arrayG1[(ntables-1)*gsize:], gsize)
 
-        beforeT = time.Now()
+		beforeT = time.Now()
-        Q2:= new(bn256.G1).ScalarBaseMult(new(big.Int))
+		Q4 := mulTableNoDoubleG1(table, arrayW, nil, gsize)
-        for i:=0; i<ntables-1; i++ {
+		fmt.Printf("Gsize : %d, TMultNoDouble time elapsed: %s\n", gsize, time.Since(beforeT))
-           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()
+		beforeT = time.Now()
-        Q3 := ScalarMultG1(arrayG1, arrayW, nil, gsize)
+		Q5 := scalarMultNoDoubleG1(arrayG1, arrayW, nil, gsize)
-        fmt.Printf("Gsize : %d, TMult time elapsed (inc table comp): %s\n", gsize,time.Since(beforeT))
+		fmt.Printf("Gsize : %d, TMultNoDouble time elapsed (inc table comp): %s\n", gsize, time.Since(beforeT))
 
-        beforeT = time.Now()
+		if bytes.Compare(Q1.Marshal(), Q2.Marshal()) != 0 {
-        Q4 := MulTableNoDoubleG1(table, arrayW, nil, gsize)
+			t.Error("Error in TMult")
-        fmt.Printf("Gsize : %d, TMultNoDouble time elapsed: %s\n", gsize,time.Since(beforeT))
+		}
-
+		if bytes.Compare(Q1.Marshal(), Q3.Marshal()) != 0 {
-        beforeT = time.Now()
+			t.Error("Error in  TMult with table comp")
-        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(), Q4.Marshal()) != 0 {
-
+			t.Error("Error in  TMultNoDouble")
-
+		}
-        if bytes.Compare(Q1.Marshal(),Q2.Marshal()) != 0 {
+		if bytes.Compare(Q1.Marshal(), Q5.Marshal()) != 0 {
-            t.Error("Error in TMult")
+			t.Error("Error in  TMultNoDoublee with table comp")
-        }
+		}
-        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){
+func TestTableG2(t *testing.T) {
-     n     := N2
+	n := N2
 
-     // init scalar
+	// init scalar
-     var arrayW = randomBigIntArray(n)
+	var arrayW = randomBigIntArray(n)
-     // init G2 array
+	// init G2 array
-     var arrayG2 = randomG2Array(n)
+	var arrayG2 = randomG2Array(n)
 
-     beforeT := time.Now()
+	beforeT := time.Now()
-     Q1 := new(bn256.G2).ScalarBaseMult(new(big.Int))
+	Q1 := new(bn256.G2).ScalarBaseMult(new(big.Int))
-     for i:=0; i < n; i++ {
+	for i := 0; i < n; i++ {
-         Q1.Add(Q1, new(bn256.G2).ScalarMult(arrayG2[i], arrayW[i]))
+		Q1.Add(Q1, new(bn256.G2).ScalarMult(arrayG2[i], arrayW[i]))
-     }
+	}
-     fmt.Println("Std. Mult. time elapsed:", time.Since(beforeT))
+	fmt.Println("Std. Mult. time elapsed:", time.Since(beforeT))
 
-     for gsize:=2; gsize < 10; gsize++ {
+	for gsize := 2; gsize < 10; gsize++ {
-        ntables := int((n + gsize - 1) / gsize)
+		ntables := int((n + gsize - 1) / gsize)
-        table := make([]TableG2, ntables)
+		table := make([]tableG2, ntables)
 
-        for i:=0; i<ntables-1; i++ {
+		for i := 0; i < ntables-1; i++ {
-          table[i].NewTableG2( arrayG2[i*gsize:(i+1)*gsize], gsize)
+			table[i].newTableG2(arrayG2[i*gsize:(i+1)*gsize], gsize, false)
-        }
+		}
-        table[ntables-1].NewTableG2( arrayG2[(ntables-1)*gsize:], gsize)
+		table[ntables-1].newTableG2(arrayG2[(ntables-1)*gsize:], gsize, false)
 
-        beforeT = time.Now()
+		beforeT = time.Now()
-        Q2:= new(bn256.G2).ScalarBaseMult(new(big.Int))
+		Q2 := new(bn256.G2).ScalarBaseMult(new(big.Int))
-        for i:=0; i<ntables-1; i++ {
+		for i := 0; i < ntables-1; i++ {
-           Q2 =table[i].MulTableG2(arrayW[i*gsize:(i+1)*gsize], Q2, gsize)
+			Q2 = table[i].mulTableG2(arrayW[i*gsize:(i+1)*gsize], Q2, gsize)
-        }
+		}
-        Q2 = table[ntables-1].MulTableG2(arrayW[(ntables-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))
+		fmt.Printf("Gsize : %d, TMult time elapsed: %s\n", gsize, time.Since(beforeT))
 
-        beforeT = time.Now()
+		beforeT = time.Now()
-        Q3 := ScalarMultG2(arrayG2, arrayW, nil, gsize)
+		Q3 := scalarMultG2(arrayG2, arrayW, nil, gsize)
-        fmt.Printf("Gsize : %d, TMult time elapsed (inc table comp): %s\n", gsize,time.Since(beforeT))
+		fmt.Printf("Gsize : %d, TMult time elapsed (inc table comp): %s\n", gsize, time.Since(beforeT))
 
-        beforeT = time.Now()
+		beforeT = time.Now()
-        Q4 := MulTableNoDoubleG2(table, arrayW, nil, gsize)
+		Q4 := mulTableNoDoubleG2(table, arrayW, nil, gsize)
-        fmt.Printf("Gsize : %d, TMultNoDouble time elapsed: %s\n", gsize,time.Since(beforeT))
+		fmt.Printf("Gsize : %d, TMultNoDouble time elapsed: %s\n", gsize, time.Since(beforeT))
 
-        beforeT = time.Now()
+		beforeT = time.Now()
-        Q5 := ScalarMultNoDoubleG2(arrayG2, arrayW, nil, gsize)
+		Q5 := scalarMultNoDoubleG2(arrayG2, arrayW, nil, gsize)
-        fmt.Printf("Gsize : %d, TMultNoDouble time elapsed (inc table comp): %s\n", gsize,time.Since(beforeT))
+		fmt.Printf("Gsize : %d, TMultNoDouble time elapsed (inc table comp): %s\n", gsize, time.Since(beforeT))
 
-
+		if bytes.Compare(Q1.Marshal(), Q2.Marshal()) != 0 {
-        if bytes.Compare(Q1.Marshal(),Q2.Marshal()) != 0 {
+			t.Error("Error in TMult")
-            t.Error("Error in TMult")
+		}
-        }
+		if bytes.Compare(Q1.Marshal(), Q3.Marshal()) != 0 {
-        if bytes.Compare(Q1.Marshal(),Q3.Marshal()) != 0 {
+			t.Error("Error in  TMult with table comp")
-            t.Error("Error in  TMult with table comp")
+		}
-        }
+		if bytes.Compare(Q1.Marshal(), Q4.Marshal()) != 0 {
-        if bytes.Compare(Q1.Marshal(),Q4.Marshal()) != 0 {
+			t.Error("Error in  TMultNoDouble")
-            t.Error("Error in  TMultNoDouble")
+		}
-        }
+		if bytes.Compare(Q1.Marshal(), Q5.Marshal()) != 0 {
-        if bytes.Compare(Q1.Marshal(),Q5.Marshal()) != 0 {
+			t.Error("Error in  TMultNoDoublee with table comp")
-            t.Error("Error in  TMultNoDoublee with table comp")
+		}
-        }
+	}
-    }
 }

prover/prover.go

@@ -10,7 +10,7 @@ import (
 	bn256 "github.com/ethereum/go-ethereum/crypto/bn256/cloudflare"
 	"github.com/iden3/go-circom-prover-verifier/types"
 	"github.com/iden3/go-iden3-crypto/utils"
-        //"fmt"
+	//"fmt"
 )
 
 // Proof is the data structure of the Groth16 zkSNARK proof
@@ -45,7 +45,7 @@ type Witness []*big.Int
 
 // Group Size
 const (
-    GSIZE = 6
+	GSIZE = 6
 )
 
 func randBigInt() (*big.Int, error) {
@@ -81,34 +81,34 @@ func GenerateProof(pk *types.Pk, w types.Witness) (*types.Proof, []*big.Int, err
 	proofB := arrayOfZeroesG2(numcpu)
 	proofC := arrayOfZeroesG1(numcpu)
 	proofBG1 := arrayOfZeroesG1(numcpu)
-        gsize := GSIZE
+	gsize := GSIZE
 	var wg1 sync.WaitGroup
 	wg1.Add(numcpu)
 	for _cpu, _ranges := range ranges(pk.NVars, numcpu) {
 		// split 1
 		go func(cpu int, ranges [2]int) {
-                        proofA[cpu] = ScalarMultNoDoubleG1(pk.A[ranges[0]:ranges[1]],
+			proofA[cpu] = scalarMultNoDoubleG1(pk.A[ranges[0]:ranges[1]],
-                                                           w[ranges[0]:ranges[1]],
+				w[ranges[0]:ranges[1]],
-                                                           proofA[cpu],
+				proofA[cpu],
-                                                           gsize)
+				gsize)
-                        proofB[cpu] = ScalarMultNoDoubleG2(pk.B2[ranges[0]:ranges[1]],
+			proofB[cpu] = scalarMultNoDoubleG2(pk.B2[ranges[0]:ranges[1]],
-                                                           w[ranges[0]:ranges[1]],
+				w[ranges[0]:ranges[1]],
-                                                           proofB[cpu],
+				proofB[cpu],
-                                                           gsize)
+				gsize)
-                        proofBG1[cpu] = ScalarMultNoDoubleG1(pk.B1[ranges[0]:ranges[1]],
+			proofBG1[cpu] = scalarMultNoDoubleG1(pk.B1[ranges[0]:ranges[1]],
-                                                           w[ranges[0]:ranges[1]],
+				w[ranges[0]:ranges[1]],
-                                                           proofBG1[cpu],
+				proofBG1[cpu],
-                                                           gsize)
+				gsize)
-                        min_lim := pk.NPublic+1
+			minLim := pk.NPublic + 1
-                        if ranges[0] > pk.NPublic+1 {
+			if ranges[0] > pk.NPublic+1 {
-                           min_lim = ranges[0]
+				minLim = ranges[0]
-                        }
+			}
-                        if ranges[1] > pk.NPublic + 1 {
+			if ranges[1] > pk.NPublic+1 {
-                            proofC[cpu] = ScalarMultNoDoubleG1(pk.C[min_lim:ranges[1]],
+				proofC[cpu] = scalarMultNoDoubleG1(pk.C[minLim:ranges[1]],
-                                                           w[min_lim:ranges[1]],
+					w[minLim:ranges[1]],
-                                                           proofC[cpu],
+					proofC[cpu],
-                                                           gsize)
+					gsize)
-                        }
+			}
 			wg1.Done()
 		}(_cpu, _ranges)
 	}
@@ -142,10 +142,10 @@ func GenerateProof(pk *types.Pk, w types.Witness) (*types.Proof, []*big.Int, err
 	for _cpu, _ranges := range ranges(len(h), numcpu) {
 		// split 2
 		go func(cpu int, ranges [2]int) {
-                        proofC[cpu] = ScalarMultNoDoubleG1(pk.HExps[ranges[0]:ranges[1]],
+			proofC[cpu] = scalarMultNoDoubleG1(pk.HExps[ranges[0]:ranges[1]],
-                                                           h[ranges[0]:ranges[1]],
+				h[ranges[0]:ranges[1]],
-                                                           proofC[cpu],
+				proofC[cpu],
-                                                           gsize)
+				gsize)
 			wg2.Done()
 		}(_cpu, _ranges)
 	}

prover/prover_test.go

@@ -16,8 +16,8 @@ import (
 func TestCircuitsGenerateProof(t *testing.T) {
 	testCircuitGenerateProof(t, "circuit1k") // 1000 constraints
 	testCircuitGenerateProof(t, "circuit5k") // 5000 constraints
-        //testCircuitGenerateProof(t, "circuit10k") // 10000 constraints
+	//testCircuitGenerateProof(t, "circuit10k") // 10000 constraints
-        //testCircuitGenerateProof(t, "circuit20k") // 20000 constraints
+	//testCircuitGenerateProof(t, "circuit20k") // 20000 constraints
 }
 
 func testCircuitGenerateProof(t *testing.T, circuit string) {

prover/tables.md

@@ -16,7 +16,7 @@ There may be some concern on the additional size of the tables since they need t
 
 
 | Algorithm (G1) | GS 2 | GS 3 | GS 4 | GS 5 | GS 6 | GS 7 | GS 8 | GS 9 | 
-|---|---|---|---|---|---|---|---|---|
+|---|---|---|--|---|---|---|---|---|
 | Naive | 6.63s | - | - | - | - | - |  - | - |
 | Strauss |  13.16s | 9.03s | 6.95s | 5.61s | 4.91s | 4.26s | 3.88s | 3.54 s |
 | Strauss + Table Computation | 16.13s | 11.32s | 8.47s | 7.10s | 6.2s | 5.94s | 6.01s | 6.69s |
@@ -26,7 +26,7 @@ There may be some concern on the additional size of the tables since they need t
 There are 5000 G2 Elliptical Curve Points, and the scalars are 254 bits (BN256 curve). 
 
 | Algorithm (G2) | GS 2 | GS 3 | GS 4 | GS 5 | GS 6 | GS 7 | GS 8 | GS 9 | 
-|---|---|---|---|---|---|---|---|---|
+|---|---|---|--|---|---|---|---|---|
 | Naive | 3.55s | | | | | | | |
 | Strauss |  3.55s | 2.54s | 1.96s | 1.58s |  1.38s | 1.20s | 1.03s | 937ms |
 | Strauss + Table Computation | 3.59s | 2.58s | 2.04s | 1.71s | 1.51s | 1.46s | 1.51s | 1.82s |

tables.md

@@ -1,25 +0,0 @@
-# Tables Pre-calculation
-The most time consuming part of a ZKSnark proof calculation is the scalar multiplication of elliptic curve points. Direct mechanism accumulates each multiplication. However, prover only needs the total accumulation.
-
-There are two potential improvements to the naive approach:
-
-1. Apply Strauss-Shamir method (https://stackoverflow.com/questions/50993471/ec-scalar-multiplication-with-strauss-shamir-method).
-2. Leave the doubling operation for the last step
-
-Both options can be combined. 
-
-In the following table, we show the results of using the naive method, Srauss-Shamir and Strauss-Shamir + No doubling. These last two options are repeated for different table grouping order.
-
-There are 5000 G1 Elliptical Curve Points, and the scalars are 254 bits (BN256 curve). 
-
-There may be some concern on the additional size of the tables since they need to be loaded into a smartphone during the proof, and the time required to load these tables may exceed the benefits. If this is a problem, another althernative is to compute the tables during the proof itself. Depending on the Group Size, timing may be better than the naive approach.
-
-
-| Algorithm | GS / Time |
-|---|---|---|
-| Naive | 6.63s | | | | | | | |
-| Strauss |  13.16s | 9.033s | 6.95s | 5.61s | 4.91s | 4.26s | 3.88s | 3.54 s | 1.44 s |
-| Strauss + Table Computation | 16.13s | 11.32s | 8.47s | 7.10s | 6.2s | 5.94s | 6.01s | 6.69s |
-| No Doubling | 3.74s | 3.00s | 2.38s | 1.96s | 1.79s | 1.54s | 1.50s | 1.44s|
-| No Doubling + Table Computation  | 6.83s | 5.1s | 4.16s | 3.52s| 3.22s | 3.21s | 3.57s | 4.56s |
-