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/*
Copyright IBM Corp. All Rights Reserved.
SPDX-License-Identifier: Apache-2.0
*/
package idemix
import (
"crypto/rand"
"crypto/sha256"
"github.com/hyperledger/fabric-amcl/amcl"
"github.com/hyperledger/fabric-amcl/amcl/FP256BN"
"github.com/pkg/errors"
)
// GenG1 is a generator of Group G1
var GenG1 = FP256BN.NewECPbigs(
FP256BN.NewBIGints(FP256BN.CURVE_Gx),
FP256BN.NewBIGints(FP256BN.CURVE_Gy))
// GenG2 is a generator of Group G2
var GenG2 = FP256BN.NewECP2fp2s(
FP256BN.NewFP2bigs(FP256BN.NewBIGints(FP256BN.CURVE_Pxa), FP256BN.NewBIGints(FP256BN.CURVE_Pxb)),
FP256BN.NewFP2bigs(FP256BN.NewBIGints(FP256BN.CURVE_Pya), FP256BN.NewBIGints(FP256BN.CURVE_Pyb)))
// GenGT is a generator of Group GT
var GenGT = FP256BN.Fexp(FP256BN.Ate(GenG2, GenG1))
// GroupOrder is the order of the groups
var GroupOrder = FP256BN.NewBIGints(FP256BN.CURVE_Order)
// FieldBytes is the bytelength of the group order
var FieldBytes = int(FP256BN.MODBYTES)
// RandModOrder returns a random element in 0, ..., GroupOrder-1
func RandModOrder(rng *amcl.RAND) *FP256BN.BIG {
// curve order q
q := FP256BN.NewBIGints(FP256BN.CURVE_Order)
// Take random element in Zq
return FP256BN.Randomnum(q, rng)
}
// HashModOrder hashes data into 0, ..., GroupOrder-1
func HashModOrder(data []byte) *FP256BN.BIG {
digest := sha256.Sum256(data)
digestBig := FP256BN.FromBytes(digest[:])
digestBig.Mod(GroupOrder)
return digestBig
}
func appendBytes(data []byte, index int, bytesToAdd []byte) int {
copy(data[index:], bytesToAdd)
return index + len(bytesToAdd)
}
func appendBytesG1(data []byte, index int, E *FP256BN.ECP) int {
length := 2*FieldBytes + 1
E.ToBytes(data[index:index+length], false)
return index + length
}
func EcpToBytes(E *FP256BN.ECP) []byte {
length := 2*FieldBytes + 1
res := make([]byte, length)
E.ToBytes(res, false)
return res
}
func appendBytesG2(data []byte, index int, E *FP256BN.ECP2) int {
length := 4 * FieldBytes
E.ToBytes(data[index : index+length])
return index + length
}
func appendBytesBig(data []byte, index int, B *FP256BN.BIG) int {
length := FieldBytes
B.ToBytes(data[index : index+length])
return index + length
}
func appendBytesString(data []byte, index int, s string) int {
bytes := []byte(s)
copy(data[index:], bytes)
return index + len(bytes)
}
// MakeNym creates a new unlinkable pseudonym
func MakeNym(sk *FP256BN.BIG, IPk *IssuerPublicKey, rng *amcl.RAND) (*FP256BN.ECP, *FP256BN.BIG) {
// Construct a commitment to the sk
// Nym = h_{sk}^sk \cdot h_r^r
RandNym := RandModOrder(rng)
Nym := EcpFromProto(IPk.HSk).Mul2(sk, EcpFromProto(IPk.HRand), RandNym)
return Nym, RandNym
}
// BigToBytes takes an *amcl.BIG and returns a []byte representation
func BigToBytes(big *FP256BN.BIG) []byte {
ret := make([]byte, FieldBytes)
big.ToBytes(ret)
return ret
}
// EcpToProto converts a *amcl.ECP into the proto struct *ECP
func EcpToProto(p *FP256BN.ECP) *ECP {
return &ECP{
X: BigToBytes(p.GetX()),
Y: BigToBytes(p.GetY())}
}
// EcpFromProto converts a proto struct *ECP into an *amcl.ECP
func EcpFromProto(p *ECP) *FP256BN.ECP {
return FP256BN.NewECPbigs(FP256BN.FromBytes(p.GetX()), FP256BN.FromBytes(p.GetY()))
}
// Ecp2ToProto converts a *amcl.ECP2 into the proto struct *ECP2
func Ecp2ToProto(p *FP256BN.ECP2) *ECP2 {
return &ECP2{
Xa: BigToBytes(p.GetX().GetA()),
Xb: BigToBytes(p.GetX().GetB()),
Ya: BigToBytes(p.GetY().GetA()),
Yb: BigToBytes(p.GetY().GetB())}
}
// Ecp2FromProto converts a proto struct *ECP2 into an *amcl.ECP2
func Ecp2FromProto(p *ECP2) *FP256BN.ECP2 {
return FP256BN.NewECP2fp2s(
FP256BN.NewFP2bigs(FP256BN.FromBytes(p.GetXa()), FP256BN.FromBytes(p.GetXb())),
FP256BN.NewFP2bigs(FP256BN.FromBytes(p.GetYa()), FP256BN.FromBytes(p.GetYb())))
}
// GetRand returns a new *amcl.RAND with a fresh seed
func GetRand() (*amcl.RAND, error) {
seedLength := 32
b := make([]byte, seedLength)
_, err := rand.Read(b)
if err != nil {
return nil, errors.Wrap(err, "error getting randomness for seed")
}
rng := amcl.NewRAND()
rng.Clean()
rng.Seed(seedLength, b)
return rng, nil
}
// Modadd takes input BIGs a, b, m, and returns a+b modulo m
func Modadd(a, b, m *FP256BN.BIG) *FP256BN.BIG {
c := a.Plus(b)
c.Mod(m)
return c
}
// Modsub takes input BIGs a, b, m and returns a-b modulo m
func Modsub(a, b, m *FP256BN.BIG) *FP256BN.BIG {
return Modadd(a, FP256BN.Modneg(b, m), m)
}
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