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crypto: add btcec fallback for sign/recover without cgo (#3680)

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* vendor: add github.com/btcsuite/btcd/btcec

* crypto: add btcec fallback for sign/recover without cgo

This commit adds a non-cgo fallback implementation of secp256k1
operations.

* crypto, core/vm: remove wrappers for sha256, ripemd160
This commit is contained in:
Felix Lange 2017-02-18 09:24:12 +01:00 committed by Jeffrey Wilcke
parent bf21549faa
commit 9b0af51386
32 changed files with 3929 additions and 224 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

5
accounts/keystore/key.go
View File

@ -32,7 +32,6 @@ import (
"github.com/ethereum/go-ethereum/accounts"
"github.com/ethereum/go-ethereum/common"
"github.com/ethereum/go-ethereum/crypto"
"github.com/ethereum/go-ethereum/crypto/secp256k1"
"github.com/pborman/uuid"
)
@ -157,7 +156,7 @@ func NewKeyForDirectICAP(rand io.Reader) *Key {
panic("key generation: could not read from random source: " + err.Error())
}
reader := bytes.NewReader(randBytes)
privateKeyECDSA, err := ecdsa.GenerateKey(secp256k1.S256(), reader)
privateKeyECDSA, err := ecdsa.GenerateKey(crypto.S256(), reader)
if err != nil {
panic("key generation: ecdsa.GenerateKey failed: " + err.Error())
}
@ -169,7 +168,7 @@ func NewKeyForDirectICAP(rand io.Reader) *Key {
}
func newKey(rand io.Reader) (*Key, error) {
privateKeyECDSA, err := ecdsa.GenerateKey(secp256k1.S256(), rand)
privateKeyECDSA, err := ecdsa.GenerateKey(crypto.S256(), rand)
if err != nil {
return nil, err
}

26
core/vm/contracts.go
View File

@ -17,11 +17,14 @@
package vm
import (
"crypto/sha256"
"github.com/ethereum/go-ethereum/common"
"github.com/ethereum/go-ethereum/crypto"
"github.com/ethereum/go-ethereum/logger"
"github.com/ethereum/go-ethereum/logger/glog"
"github.com/ethereum/go-ethereum/params"
"golang.org/x/crypto/ripemd160"
)
// Precompiled contract is the basic interface for native Go contracts. The implementation
@ -35,8 +38,8 @@ type PrecompiledContract interface {
// Precompiled contains the default set of ethereum contracts
var PrecompiledContracts = map[common.Address]PrecompiledContract{
common.BytesToAddress([]byte{1}): &ecrecover{},
common.BytesToAddress([]byte{2}): &sha256{},
common.BytesToAddress([]byte{3}): &ripemd160{},
common.BytesToAddress([]byte{2}): &sha256hash{},
common.BytesToAddress([]byte{3}): &ripemd160hash{},
common.BytesToAddress([]byte{4}): &dataCopy{},
}
@ -88,31 +91,34 @@ func (c *ecrecover) Run(in []byte) []byte {
}
// SHA256 implemented as a native contract
type sha256 struct{}
type sha256hash struct{}
// RequiredGas returns the gas required to execute the pre-compiled contract.
//
// This method does not require any overflow checking as the input size gas costs
// required for anything significant is so high it's impossible to pay for.
func (c *sha256) RequiredGas(inputSize int) uint64 {
func (c *sha256hash) RequiredGas(inputSize int) uint64 {
return uint64(inputSize+31)/32*params.Sha256WordGas + params.Sha256Gas
}
func (c *sha256) Run(in []byte) []byte {
return crypto.Sha256(in)
func (c *sha256hash) Run(in []byte) []byte {
h := sha256.Sum256(in)
return h[:]
}
// RIPMED160 implemented as a native contract
type ripemd160 struct{}
type ripemd160hash struct{}
// RequiredGas returns the gas required to execute the pre-compiled contract.
//
// This method does not require any overflow checking as the input size gas costs
// required for anything significant is so high it's impossible to pay for.
func (c *ripemd160) RequiredGas(inputSize int) uint64 {
func (c *ripemd160hash) RequiredGas(inputSize int) uint64 {
return uint64(inputSize+31)/32*params.Ripemd160WordGas + params.Ripemd160Gas
}
func (c *ripemd160) Run(in []byte) []byte {
return common.LeftPadBytes(crypto.Ripemd160(in), 32)
func (c *ripemd160hash) Run(in []byte) []byte {
ripemd := ripemd160.New()
ripemd.Write(in)
return common.LeftPadBytes(ripemd.Sum(nil), 32)
}
// data copy implemented as a native contract

95
crypto/crypto.go
View File

@ -20,22 +20,21 @@ import (
"crypto/ecdsa"
"crypto/elliptic"
"crypto/rand"
"crypto/sha256"
"fmt"
"encoding/hex"
"errors"
"io"
"io/ioutil"
"math/big"
"os"
"encoding/hex"
"errors"
"github.com/ethereum/go-ethereum/common"
"github.com/ethereum/go-ethereum/crypto/ecies"
"github.com/ethereum/go-ethereum/crypto/secp256k1"
"github.com/ethereum/go-ethereum/crypto/sha3"
"github.com/ethereum/go-ethereum/rlp"
"golang.org/x/crypto/ripemd160"
)
var (
secp256k1_N, _ = new(big.Int).SetString("fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141", 16)
secp256k1_halfN = new(big.Int).Div(secp256k1_N, big.NewInt(2))
)
func Keccak256(data ...[]byte) []byte {
@ -56,7 +55,6 @@ func Keccak256Hash(data ...[]byte) (h common.Hash) {
}
// Deprecated: For backward compatibility as other packages depend on these
func Sha3(data ...[]byte) []byte { return Keccak256(data...) }
func Sha3Hash(data ...[]byte) common.Hash { return Keccak256Hash(data...) }
// Creates an ethereum address given the bytes and the nonce
@ -65,39 +63,16 @@ func CreateAddress(b common.Address, nonce uint64) common.Address {
return common.BytesToAddress(Keccak256(data)[12:])
}
func Sha256(data []byte) []byte {
hash := sha256.Sum256(data)
return hash[:]
}
func Ripemd160(data []byte) []byte {
ripemd := ripemd160.New()
ripemd.Write(data)
return ripemd.Sum(nil)
}
// Ecrecover returns the public key for the private key that was used to
// calculate the signature.
//
// Note: secp256k1 expects the recover id to be either 0, 1. Ethereum
// signatures have a recover id with an offset of 27. Callers must take
// this into account and if "recovering" from an Ethereum signature adjust.
func Ecrecover(hash, sig []byte) ([]byte, error) {
return secp256k1.RecoverPubkey(hash, sig)
}
// New methods using proper ecdsa keys from the stdlib
// ToECDSA creates a private key with the given D value.
func ToECDSA(prv []byte) *ecdsa.PrivateKey {
if len(prv) == 0 {
return nil
}
priv := new(ecdsa.PrivateKey)
priv.PublicKey.Curve = secp256k1.S256()
priv.PublicKey.Curve = S256()
priv.D = common.BigD(prv)
priv.PublicKey.X, priv.PublicKey.Y = secp256k1.S256().ScalarBaseMult(prv)
priv.PublicKey.X, priv.PublicKey.Y = priv.PublicKey.Curve.ScalarBaseMult(prv)
return priv
}
@ -112,15 +87,15 @@ func ToECDSAPub(pub []byte) *ecdsa.PublicKey {
if len(pub) == 0 {
return nil
}
x, y := elliptic.Unmarshal(secp256k1.S256(), pub)
return &ecdsa.PublicKey{Curve: secp256k1.S256(), X: x, Y: y}
x, y := elliptic.Unmarshal(S256(), pub)
return &ecdsa.PublicKey{Curve: S256(), X: x, Y: y}
}
func FromECDSAPub(pub *ecdsa.PublicKey) []byte {
if pub == nil || pub.X == nil || pub.Y == nil {
return nil
}
return elliptic.Marshal(secp256k1.S256(), pub.X, pub.Y)
return elliptic.Marshal(S256(), pub.X, pub.Y)
}
// HexToECDSA parses a secp256k1 private key.
@ -164,7 +139,7 @@ func SaveECDSA(file string, key *ecdsa.PrivateKey) error {
}
func GenerateKey() (*ecdsa.PrivateKey, error) {
return ecdsa.GenerateKey(secp256k1.S256(), rand.Reader)
return ecdsa.GenerateKey(S256(), rand.Reader)
}
// ValidateSignatureValues verifies whether the signature values are valid with
@ -175,49 +150,11 @@ func ValidateSignatureValues(v byte, r, s *big.Int, homestead bool) bool {
}
// reject upper range of s values (ECDSA malleability)
// see discussion in secp256k1/libsecp256k1/include/secp256k1.h
if homestead && s.Cmp(secp256k1.HalfN) > 0 {
if homestead && s.Cmp(secp256k1_halfN) > 0 {
return false
}
// Frontier: allow s to be in full N range
return r.Cmp(secp256k1.N) < 0 && s.Cmp(secp256k1.N) < 0 && (v == 0 || v == 1)
}
func SigToPub(hash, sig []byte) (*ecdsa.PublicKey, error) {
s, err := Ecrecover(hash, sig)
if err != nil {
return nil, err
}
x, y := elliptic.Unmarshal(secp256k1.S256(), s)
return &ecdsa.PublicKey{Curve: secp256k1.S256(), X: x, Y: y}, nil
}
// Sign calculates an ECDSA signature.
//
// This function is susceptible to chosen plaintext attacks that can leak
// information about the private key that is used for signing. Callers must
// be aware that the given hash cannot be chosen by an adversery. Common
// solution is to hash any input before calculating the signature.
//
// The produced signature is in the [R || S || V] format where V is 0 or 1.
func Sign(data []byte, prv *ecdsa.PrivateKey) (sig []byte, err error) {
if len(data) != 32 {
return nil, fmt.Errorf("hash is required to be exactly 32 bytes (%d)", len(data))
}
seckey := common.LeftPadBytes(prv.D.Bytes(), prv.Params().BitSize/8)
defer zeroBytes(seckey)
sig, err = secp256k1.Sign(data, seckey)
return
}
func Encrypt(pub *ecdsa.PublicKey, message []byte) ([]byte, error) {
return ecies.Encrypt(rand.Reader, ecies.ImportECDSAPublic(pub), message, nil, nil)
}
func Decrypt(prv *ecdsa.PrivateKey, ct []byte) ([]byte, error) {
key := ecies.ImportECDSA(prv)
return key.Decrypt(rand.Reader, ct, nil, nil)
return r.Cmp(secp256k1_N) < 0 && s.Cmp(secp256k1_N) < 0 && (v == 0 || v == 1)
}
func PubkeyToAddress(p ecdsa.PublicKey) common.Address {

36
crypto/crypto_test.go
View File

@ -28,7 +28,6 @@ import (
"time"
"github.com/ethereum/go-ethereum/common"
"github.com/ethereum/go-ethereum/crypto/secp256k1"
)
var testAddrHex = "970e8128ab834e8eac17ab8e3812f010678cf791"
@ -37,30 +36,12 @@ var testPrivHex = "289c2857d4598e37fb9647507e47a309d6133539bf21a8b9cb6df88fd5232
// These tests are sanity checks.
// They should ensure that we don't e.g. use Sha3-224 instead of Sha3-256
// and that the sha3 library uses keccak-f permutation.
func TestSha3(t *testing.T) {
msg := []byte("abc")
exp, _ := hex.DecodeString("4e03657aea45a94fc7d47ba826c8d667c0d1e6e33a64a036ec44f58fa12d6c45")
checkhash(t, "Sha3-256", func(in []byte) []byte { return Keccak256(in) }, msg, exp)
}
func TestSha3Hash(t *testing.T) {
msg := []byte("abc")
exp, _ := hex.DecodeString("4e03657aea45a94fc7d47ba826c8d667c0d1e6e33a64a036ec44f58fa12d6c45")
checkhash(t, "Sha3-256-array", func(in []byte) []byte { h := Keccak256Hash(in); return h[:] }, msg, exp)
}
func TestSha256(t *testing.T) {
msg := []byte("abc")
exp, _ := hex.DecodeString("ba7816bf8f01cfea414140de5dae2223b00361a396177a9cb410ff61f20015ad")
checkhash(t, "Sha256", Sha256, msg, exp)
}
func TestRipemd160(t *testing.T) {
msg := []byte("abc")
exp, _ := hex.DecodeString("8eb208f7e05d987a9b044a8e98c6b087f15a0bfc")
checkhash(t, "Ripemd160", Ripemd160, msg, exp)
}
func BenchmarkSha3(b *testing.B) {
a := []byte("hello world")
amount := 1000000
@ -170,7 +151,7 @@ func TestValidateSignatureValues(t *testing.T) {
minusOne := big.NewInt(-1)
one := common.Big1
zero := common.Big0
secp256k1nMinus1 := new(big.Int).Sub(secp256k1.N, common.Big1)
secp256k1nMinus1 := new(big.Int).Sub(secp256k1_N, common.Big1)
// correct v,r,s
check(true, 0, one, one)
@ -197,9 +178,9 @@ func TestValidateSignatureValues(t *testing.T) {
// correct sig with max r,s
check(true, 0, secp256k1nMinus1, secp256k1nMinus1)
// correct v, combinations of incorrect r,s at upper limit
check(false, 0, secp256k1.N, secp256k1nMinus1)
check(false, 0, secp256k1nMinus1, secp256k1.N)
check(false, 0, secp256k1.N, secp256k1.N)
check(false, 0, secp256k1_N, secp256k1nMinus1)
check(false, 0, secp256k1nMinus1, secp256k1_N)
check(false, 0, secp256k1_N, secp256k1_N)
// current callers ensures r,s cannot be negative, but let's test for that too
// as crypto package could be used stand-alone
@ -225,14 +206,13 @@ func checkAddr(t *testing.T, addr0, addr1 common.Address) {
func TestPythonIntegration(t *testing.T) {
kh := "289c2857d4598e37fb9647507e47a309d6133539bf21a8b9cb6df88fd5232032"
k0, _ := HexToECDSA(kh)
k1 := FromECDSA(k0)
msg0 := Keccak256([]byte("foo"))
sig0, _ := secp256k1.Sign(msg0, k1)
sig0, _ := Sign(msg0, k0)
msg1 := common.FromHex("00000000000000000000000000000000")
sig1, _ := secp256k1.Sign(msg0, k1)
sig1, _ := Sign(msg0, k0)
fmt.Printf("msg: %x, privkey: %x sig: %x\n", msg0, k1, sig0)
fmt.Printf("msg: %x, privkey: %x sig: %x\n", msg1, k1, sig1)
t.Logf("msg: %x, privkey: %s sig: %x\n", msg0, kh, sig0)
t.Logf("msg: %x, privkey: %s sig: %x\n", msg1, kh, sig1)
}

6
crypto/ecies/asn1.go
View File

@ -42,7 +42,7 @@ import (
"hash"
"math/big"
"github.com/ethereum/go-ethereum/crypto/secp256k1"
ethcrypto "github.com/ethereum/go-ethereum/crypto"
)
var (
@ -120,7 +120,7 @@ func (curve secgNamedCurve) Equal(curve2 secgNamedCurve) bool {
func namedCurveFromOID(curve secgNamedCurve) elliptic.Curve {
switch {
case curve.Equal(secgNamedCurveS256):
return secp256k1.S256()
return ethcrypto.S256()
case curve.Equal(secgNamedCurveP256):
return elliptic.P256()
case curve.Equal(secgNamedCurveP384):
@ -139,7 +139,7 @@ func oidFromNamedCurve(curve elliptic.Curve) (secgNamedCurve, bool) {
return secgNamedCurveP384, true
case elliptic.P521():
return secgNamedCurveP521, true
case secp256k1.S256():
case ethcrypto.S256():
return secgNamedCurveS256, true
}

41
crypto/ecies/ecies_test.go
View File

@ -31,7 +31,6 @@ package ecies
import (
"bytes"
"crypto/ecdsa"
"crypto/elliptic"
"crypto/rand"
"crypto/sha256"
@ -42,7 +41,7 @@ import (
"math/big"
"testing"
"github.com/ethereum/go-ethereum/crypto/secp256k1"
"github.com/ethereum/go-ethereum/crypto"
)
var dumpEnc bool
@ -150,7 +149,7 @@ func TestSharedKey(t *testing.T) {
func TestSharedKeyPadding(t *testing.T) {
// sanity checks
prv0 := hexKey("1adf5c18167d96a1f9a0b1ef63be8aa27eaf6032c233b2b38f7850cf5b859fd9")
prv1 := hexKey("97a076fc7fcd9208240668e31c9abee952cbb6e375d1b8febc7499d6e16f1a")
prv1 := hexKey("0097a076fc7fcd9208240668e31c9abee952cbb6e375d1b8febc7499d6e16f1a")
x0, _ := new(big.Int).SetString("1a8ed022ff7aec59dc1b440446bdda5ff6bcb3509a8b109077282b361efffbd8", 16)
x1, _ := new(big.Int).SetString("6ab3ac374251f638d0abb3ef596d1dc67955b507c104e5f2009724812dc027b8", 16)
y0, _ := new(big.Int).SetString("e040bd480b1deccc3bc40bd5b1fdcb7bfd352500b477cb9471366dbd4493f923", 16)
@ -354,7 +353,7 @@ func BenchmarkGenSharedKeyP256(b *testing.B) {
// Benchmark the generation of S256 shared keys.
func BenchmarkGenSharedKeyS256(b *testing.B) {
prv, err := GenerateKey(rand.Reader, secp256k1.S256(), nil)
prv, err := GenerateKey(rand.Reader, crypto.S256(), nil)
if err != nil {
fmt.Println(err.Error())
b.FailNow()
@ -597,6 +596,29 @@ func TestBasicKeyValidation(t *testing.T) {
}
}
func TestBox(t *testing.T) {
prv1 := hexKey("4b50fa71f5c3eeb8fdc452224b2395af2fcc3d125e06c32c82e048c0559db03f")
prv2 := hexKey("d0b043b4c5d657670778242d82d68a29d25d7d711127d17b8e299f156dad361a")
pub2 := &prv2.PublicKey
message := []byte("Hello, world.")
ct, err := Encrypt(rand.Reader, pub2, message, nil, nil)
if err != nil {
t.Fatal(err)
}
pt, err := prv2.Decrypt(rand.Reader, ct, nil, nil)
if err != nil {
t.Fatal(err)
}
if !bytes.Equal(pt, message) {
t.Fatal("ecies: plaintext doesn't match message")
}
if _, err = prv1.Decrypt(rand.Reader, ct, nil, nil); err == nil {
t.Fatal("ecies: encryption should not have succeeded")
}
}
// Verify GenerateShared against static values - useful when
// debugging changes in underlying libs
func TestSharedKeyStatic(t *testing.T) {
@ -628,11 +650,10 @@ func TestSharedKeyStatic(t *testing.T) {
}
}
// TODO: remove after refactoring packages crypto and crypto/ecies
func hexKey(prv string) *PrivateKey {
priv := new(ecdsa.PrivateKey)
priv.PublicKey.Curve = secp256k1.S256()
priv.D, _ = new(big.Int).SetString(prv, 16)
priv.PublicKey.X, priv.PublicKey.Y = secp256k1.S256().ScalarBaseMult(priv.D.Bytes())
return ImportECDSA(priv)
key, err := crypto.HexToECDSA(prv)
if err != nil {
panic(err)
}
return ImportECDSA(key)
}

6
crypto/ecies/params.go
View File

@ -42,11 +42,11 @@ import (
"fmt"
"hash"
"github.com/ethereum/go-ethereum/crypto/secp256k1"
ethcrypto "github.com/ethereum/go-ethereum/crypto"
)
var (
DefaultCurve = secp256k1.S256()
DefaultCurve = ethcrypto.S256()
ErrUnsupportedECDHAlgorithm = fmt.Errorf("ecies: unsupported ECDH algorithm")
ErrUnsupportedECIESParameters = fmt.Errorf("ecies: unsupported ECIES parameters")
)
@ -100,7 +100,7 @@ var (
)
var paramsFromCurve = map[elliptic.Curve]*ECIESParams{
secp256k1.S256(): ECIES_AES128_SHA256,
ethcrypto.S256(): ECIES_AES128_SHA256,
elliptic.P256(): ECIES_AES128_SHA256,
elliptic.P384(): ECIES_AES256_SHA384,
elliptic.P521(): ECIES_AES256_SHA512,

56
crypto/encrypt_decrypt_test.go
View File

@ -1,56 +0,0 @@
// Copyright 2014 The go-ethereum Authors
// This file is part of the go-ethereum library.
//
// The go-ethereum library is free software: you can redistribute it and/or modify
// it under the terms of the GNU Lesser General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
//
// The go-ethereum library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU Lesser General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public License
// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
package crypto
import (
"bytes"
"fmt"
"testing"
"github.com/ethereum/go-ethereum/common"
)
func TestBox(t *testing.T) {
prv1 := ToECDSA(common.Hex2Bytes("4b50fa71f5c3eeb8fdc452224b2395af2fcc3d125e06c32c82e048c0559db03f"))
prv2 := ToECDSA(common.Hex2Bytes("d0b043b4c5d657670778242d82d68a29d25d7d711127d17b8e299f156dad361a"))
pub2 := ToECDSAPub(common.Hex2Bytes("04bd27a63c91fe3233c5777e6d3d7b39204d398c8f92655947eb5a373d46e1688f022a1632d264725cbc7dc43ee1cfebde42fa0a86d08b55d2acfbb5e9b3b48dc5"))
message := []byte("Hello, world.")
ct, err := Encrypt(pub2, message)
if err != nil {
fmt.Println(err.Error())
t.FailNow()
}
pt, err := Decrypt(prv2, ct)
if err != nil {
fmt.Println(err.Error())
t.FailNow()
}
if !bytes.Equal(pt, message) {
fmt.Println("ecies: plaintext doesn't match message")
t.FailNow()
}
_, err = Decrypt(prv1, pt)
if err == nil {
fmt.Println("ecies: encryption should not have succeeded")
t.FailNow()
}
}

10
crypto/secp256k1/secp256.go
View File

@ -42,17 +42,9 @@ import (
"unsafe"
)
var (
context *C.secp256k1_context
N *big.Int
HalfN *big.Int
)
var context *C.secp256k1_context
func init() {
N, _ = new(big.Int).SetString("fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141", 16)
// N / 2 == 57896044618658097711785492504343953926418782139537452191302581570759080747168
HalfN, _ = new(big.Int).SetString("7fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a0", 16)
// around 20 ms on a modern CPU.
context = C.secp256k1_context_create_sign_verify()
C.secp256k1_context_set_illegal_callback(context, C.callbackFunc(C.secp256k1GoPanicIllegal), nil)

64
crypto/signature_cgo.go Normal file
View File

@ -0,0 +1,64 @@
// Copyright 2016 The go-ethereum Authors
// This file is part of the go-ethereum library.
//
// The go-ethereum library is free software: you can redistribute it and/or modify
// it under the terms of the GNU Lesser General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
//
// The go-ethereum library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU Lesser General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public License
// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
// +build !nacl,!js,!nocgo
package crypto
import (
"crypto/ecdsa"
"crypto/elliptic"
"fmt"
"github.com/ethereum/go-ethereum/common"
"github.com/ethereum/go-ethereum/crypto/secp256k1"
)
func Ecrecover(hash, sig []byte) ([]byte, error) {
return secp256k1.RecoverPubkey(hash, sig)
}
func SigToPub(hash, sig []byte) (*ecdsa.PublicKey, error) {
s, err := Ecrecover(hash, sig)
if err != nil {
return nil, err
}
x, y := elliptic.Unmarshal(S256(), s)
return &ecdsa.PublicKey{Curve: S256(), X: x, Y: y}, nil
}
// Sign calculates an ECDSA signature.
//
// This function is susceptible to chosen plaintext attacks that can leak
// information about the private key that is used for signing. Callers must
// be aware that the given hash cannot be chosen by an adversery. Common
// solution is to hash any input before calculating the signature.
//
// The produced signature is in the [R || S || V] format where V is 0 or 1.
func Sign(hash []byte, prv *ecdsa.PrivateKey) (sig []byte, err error) {
if len(hash) != 32 {
return nil, fmt.Errorf("hash is required to be exactly 32 bytes (%d)", len(hash))
}
seckey := common.LeftPadBytes(prv.D.Bytes(), prv.Params().BitSize/8)
defer zeroBytes(seckey)
return secp256k1.Sign(hash, seckey)
}
// S256 returns an instance of the secp256k1 curve.
func S256() elliptic.Curve {
return secp256k1.S256()
}

77
crypto/signature_nocgo.go Normal file
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@ -0,0 +1,77 @@
// Copyright 2016 The go-ethereum Authors
// This file is part of the go-ethereum library.
//
// The go-ethereum library is free software: you can redistribute it and/or modify
// it under the terms of the GNU Lesser General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
//
// The go-ethereum library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU Lesser General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public License
// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
// +build nacl js nocgo
package crypto
import (
"crypto/ecdsa"
"crypto/elliptic"
"fmt"
"github.com/btcsuite/btcd/btcec"
)
func Ecrecover(hash, sig []byte) ([]byte, error) {
pub, err := SigToPub(hash, sig)
if err != nil {
return nil, err
}
bytes := (*btcec.PublicKey)(pub).SerializeUncompressed()
return bytes, err
}
func SigToPub(hash, sig []byte) (*ecdsa.PublicKey, error) {
// Convert to btcec input format with 'recovery id' v at the beginning.
btcsig := make([]byte, 65)
btcsig[0] = sig[64] + 27
copy(btcsig[1:], sig)
pub, _, err := btcec.RecoverCompact(btcec.S256(), btcsig, hash)
return (*ecdsa.PublicKey)(pub), err
}
// Sign calculates an ECDSA signature.
//
// This function is susceptible to chosen plaintext attacks that can leak
// information about the private key that is used for signing. Callers must
// be aware that the given hash cannot be chosen by an adversery. Common
// solution is to hash any input before calculating the signature.
//
// The produced signature is in the [R || S || V] format where V is 0 or 1.
func Sign(hash []byte, prv *ecdsa.PrivateKey) ([]byte, error) {
if len(hash) != 32 {
return nil, fmt.Errorf("hash is required to be exactly 32 bytes (%d)", len(hash))
}
if prv.Curve != btcec.S256() {
return nil, fmt.Errorf("private key curve is not secp256k1")
}
sig, err := btcec.SignCompact(btcec.S256(), (*btcec.PrivateKey)(prv), hash, false)
if err != nil {
return nil, err
}
// Convert to Ethereum signature format with 'recovery id' v at the end.
v := sig[0] - 27
copy(sig, sig[1:])
sig[64] = v
return sig, nil
}
// S256 returns an instance of the secp256k1 curve.
func S256() elliptic.Curve {
return btcec.S256()
}

25
p2p/discv5/crypto.go → crypto/signature_test.go
View File

@ -14,18 +14,23 @@
// You should have received a copy of the GNU Lesser General Public License
// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
package discv5
package crypto
import (
//"github.com/btcsuite/btcd/btcec"
"github.com/ethereum/go-ethereum/crypto/secp256k1"
"bytes"
"encoding/hex"
"testing"
)
func S256() *secp256k1.BitCurve {
return secp256k1.S256()
func TestRecoverSanity(t *testing.T) {
msg, _ := hex.DecodeString("ce0677bb30baa8cf067c88db9811f4333d131bf8bcf12fe7065d211dce971008")
sig, _ := hex.DecodeString("90f27b8b488db00b00606796d2987f6a5f59ae62ea05effe84fef5b8b0e549984a691139ad57a3f0b906637673aa2f63d1f55cb1a69199d4009eea23ceaddc9301")
pubkey1, _ := hex.DecodeString("04e32df42865e97135acfb65f3bae71bdc86f4d49150ad6a440b6f15878109880a0a2b2667f7e725ceea70c673093bf67663e0312623c8e091b13cf2c0f11ef652")
pubkey2, err := Ecrecover(msg, sig)
if err != nil {
t.Fatalf("recover error: %s", err)
}
if !bytes.Equal(pubkey1, pubkey2) {
t.Errorf("pubkey mismatch: want: %x have: %x", pubkey1, pubkey2)
}
}
// This version should be used for NaCl compilation
/*func S256() *btcec.KoblitzCurve {
return S256()
}*/

2
p2p/discover/node.go
View File

@ -259,7 +259,7 @@ func PubkeyID(pub *ecdsa.PublicKey) NodeID {
// Pubkey returns the public key represented by the node ID.
// It returns an error if the ID is not a point on the curve.
func (id NodeID) Pubkey() (*ecdsa.PublicKey, error) {
p := &ecdsa.PublicKey{Curve: secp256k1.S256(), X: new(big.Int), Y: new(big.Int)}
p := &ecdsa.PublicKey{Curve: crypto.S256(), X: new(big.Int), Y: new(big.Int)}
half := len(id) / 2
p.X.SetBytes(id[:half])
p.Y.SetBytes(id[half:])

2
p2p/discv5/node.go
View File

@ -297,7 +297,7 @@ func PubkeyID(pub *ecdsa.PublicKey) NodeID {
// Pubkey returns the public key represented by the node ID.
// It returns an error if the ID is not a point on the curve.
func (id NodeID) Pubkey() (*ecdsa.PublicKey, error) {
p := &ecdsa.PublicKey{Curve: S256(), X: new(big.Int), Y: new(big.Int)}
p := &ecdsa.PublicKey{Curve: crypto.S256(), X: new(big.Int), Y: new(big.Int)}
half := len(id) / 2
p.X.SetBytes(id[:half])
p.Y.SetBytes(id[half:])

4
p2p/rlpx.go
View File

@ -303,7 +303,7 @@ func (h *encHandshake) makeAuthMsg(prv *ecdsa.PrivateKey, token []byte) (*authMs
return nil, err
}
// Generate random keypair to for ECDH.
h.randomPrivKey, err = ecies.GenerateKey(rand.Reader, secp256k1.S256(), nil)
h.randomPrivKey, err = ecies.GenerateKey(rand.Reader, crypto.S256(), nil)
if err != nil {
return nil, err
}
@ -381,7 +381,7 @@ func (h *encHandshake) handleAuthMsg(msg *authMsgV4, prv *ecdsa.PrivateKey) erro
// Generate random keypair for ECDH.
// If a private key is already set, use it instead of generating one (for testing).
if h.randomPrivKey == nil {
h.randomPrivKey, err = ecies.GenerateKey(rand.Reader, secp256k1.S256(), nil)
h.randomPrivKey, err = ecies.GenerateKey(rand.Reader, crypto.S256(), nil)
if err != nil {
return err
}

16
vendor/github.com/btcsuite/btcd/LICENSE generated vendored Normal file
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@ -0,0 +1,16 @@
ISC License
Copyright (c) 2013-2017 The btcsuite developers
Copyright (c) 2015-2016 The Decred developers
Permission to use, copy, modify, and distribute this software for any
purpose with or without fee is hereby granted, provided that the above
copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.

74
vendor/github.com/btcsuite/btcd/btcec/README.md generated vendored Normal file
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@ -0,0 +1,74 @@
btcec
=====
[![Build Status](https://travis-ci.org/btcsuite/btcd.png?branch=master)]
(https://travis-ci.org/btcsuite/btcec) [![ISC License]
(http://img.shields.io/badge/license-ISC-blue.svg)](http://copyfree.org)
[![GoDoc](https://godoc.org/github.com/btcsuite/btcd/btcec?status.png)]
(http://godoc.org/github.com/btcsuite/btcd/btcec)
Package btcec implements elliptic curve cryptography needed for working with
Bitcoin (secp256k1 only for now). It is designed so that it may be used with the
standard crypto/ecdsa packages provided with go. A comprehensive suite of test
is provided to ensure proper functionality. Package btcec was originally based
on work from ThePiachu which is licensed under the same terms as Go, but it has
signficantly diverged since then. The btcsuite developers original is licensed
under the liberal ISC license.
Although this package was primarily written for btcd, it has intentionally been
designed so it can be used as a standalone package for any projects needing to
use secp256k1 elliptic curve cryptography.
## Installation and Updating
```bash
$ go get -u github.com/btcsuite/btcd/btcec
```
## Examples
* [Sign Message]
(http://godoc.org/github.com/btcsuite/btcd/btcec#example-package--SignMessage)
Demonstrates signing a message with a secp256k1 private key that is first
parsed form raw bytes and serializing the generated signature.
* [Verify Signature]
(http://godoc.org/github.com/btcsuite/btcd/btcec#example-package--VerifySignature)
Demonstrates verifying a secp256k1 signature against a public key that is
first parsed from raw bytes. The signature is also parsed from raw bytes.
* [Encryption]
(http://godoc.org/github.com/btcsuite/btcd/btcec#example-package--EncryptMessage)
Demonstrates encrypting a message for a public key that is first parsed from
raw bytes, then decrypting it using the corresponding private key.
* [Decryption]
(http://godoc.org/github.com/btcsuite/btcd/btcec#example-package--DecryptMessage)
Demonstrates decrypting a message using a private key that is first parsed
from raw bytes.
## GPG Verification Key
All official release tags are signed by Conformal so users can ensure the code
has not been tampered with and is coming from the btcsuite developers. To
verify the signature perform the following:
- Download the public key from the Conformal website at
https://opensource.conformal.com/GIT-GPG-KEY-conformal.txt
- Import the public key into your GPG keyring:
```bash
gpg --import GIT-GPG-KEY-conformal.txt
```
- Verify the release tag with the following command where `TAG_NAME` is a
placeholder for the specific tag:
```bash
git tag -v TAG_NAME
```
## License
Package btcec is licensed under the [copyfree](http://copyfree.org) ISC License
except for btcec.go and btcec_test.go which is under the same license as Go.

956
vendor/github.com/btcsuite/btcd/btcec/btcec.go generated vendored Normal file
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@ -0,0 +1,956 @@
// Copyright 2010 The Go Authors. All rights reserved.
// Copyright 2011 ThePiachu. All rights reserved.
// Copyright 2013-2014 The btcsuite developers
// Use of this source code is governed by an ISC
// license that can be found in the LICENSE file.
package btcec
// References:
// [SECG]: Recommended Elliptic Curve Domain Parameters
// http://www.secg.org/sec2-v2.pdf
//
// [GECC]: Guide to Elliptic Curve Cryptography (Hankerson, Menezes, Vanstone)
// This package operates, internally, on Jacobian coordinates. For a given
// (x, y) position on the curve, the Jacobian coordinates are (x1, y1, z1)
// where x = x1/z1² and y = y1/z1³. The greatest speedups come when the whole
// calculation can be performed within the transform (as in ScalarMult and
// ScalarBaseMult). But even for Add and Double, it's faster to apply and
// reverse the transform than to operate in affine coordinates.
import (
"crypto/elliptic"
"math/big"
"sync"
)
var (
// fieldOne is simply the integer 1 in field representation. It is
// used to avoid needing to create it multiple times during the internal
// arithmetic.
fieldOne = new(fieldVal).SetInt(1)
)
// KoblitzCurve supports a koblitz curve implementation that fits the ECC Curve
// interface from crypto/elliptic.
type KoblitzCurve struct {
*elliptic.CurveParams
q *big.Int
H int // cofactor of the curve.
// byteSize is simply the bit size / 8 and is provided for convenience
// since it is calculated repeatedly.
byteSize int
// bytePoints
bytePoints *[32][256][3]fieldVal
// The next 6 values are used specifically for endomorphism
// optimizations in ScalarMult.
// lambda must fulfill lambda^3 = 1 mod N where N is the order of G.
lambda *big.Int
// beta must fulfill beta^3 = 1 mod P where P is the prime field of the
// curve.
beta *fieldVal
// See the EndomorphismVectors in gensecp256k1.go to see how these are
// derived.
a1 *big.Int
b1 *big.Int
a2 *big.Int
b2 *big.Int
}
// Params returns the parameters for the curve.
func (curve *KoblitzCurve) Params() *elliptic.CurveParams {
return curve.CurveParams
}
// bigAffineToField takes an affine point (x, y) as big integers and converts
// it to an affine point as field values.
func (curve *KoblitzCurve) bigAffineToField(x, y *big.Int) (*fieldVal, *fieldVal) {
x3, y3 := new(fieldVal), new(fieldVal)
x3.SetByteSlice(x.Bytes())
y3.SetByteSlice(y.Bytes())
return x3, y3
}
// fieldJacobianToBigAffine takes a Jacobian point (x, y, z) as field values and
// converts it to an affine point as big integers.
func (curve *KoblitzCurve) fieldJacobianToBigAffine(x, y, z *fieldVal) (*big.Int, *big.Int) {
// Inversions are expensive and both point addition and point doubling
// are faster when working with points that have a z value of one. So,
// if the point needs to be converted to affine, go ahead and normalize
// the point itself at the same time as the calculation is the same.
var zInv, tempZ fieldVal
zInv.Set(z).Inverse() // zInv = Z^-1
tempZ.SquareVal(&zInv) // tempZ = Z^-2
x.Mul(&tempZ) // X = X/Z^2 (mag: 1)
y.Mul(tempZ.Mul(&zInv)) // Y = Y/Z^3 (mag: 1)
z.SetInt(1) // Z = 1 (mag: 1)
// Normalize the x and y values.
x.Normalize()
y.Normalize()
// Convert the field values for the now affine point to big.Ints.
x3, y3 := new(big.Int), new(big.Int)
x3.SetBytes(x.Bytes()[:])
y3.SetBytes(y.Bytes()[:])
return x3, y3
}
// IsOnCurve returns boolean if the point (x,y) is on the curve.
// Part of the elliptic.Curve interface. This function differs from the
// crypto/elliptic algorithm since a = 0 not -3.
func (curve *KoblitzCurve) IsOnCurve(x, y *big.Int) bool {
// Convert big ints to field values for faster arithmetic.
fx, fy := curve.bigAffineToField(x, y)
// Elliptic curve equation for secp256k1 is: y^2 = x^3 + 7
y2 := new(fieldVal).SquareVal(fy).Normalize()
result := new(fieldVal).SquareVal(fx).Mul(fx).AddInt(7).Normalize()
return y2.Equals(result)
}
// addZ1AndZ2EqualsOne adds two Jacobian points that are already known to have
// z values of 1 and stores the result in (x3, y3, z3). That is to say
// (x1, y1, 1) + (x2, y2, 1) = (x3, y3, z3). It performs faster addition than
// the generic add routine since less arithmetic is needed due to the ability to
// avoid the z value multiplications.
func (curve *KoblitzCurve) addZ1AndZ2EqualsOne(x1, y1, z1, x2, y2, x3, y3, z3 *fieldVal) {
// To compute the point addition efficiently, this implementation splits
// the equation into intermediate elements which are used to minimize
// the number of field multiplications using the method shown at:
// http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#addition-mmadd-2007-bl
//
// In particular it performs the calculations using the following:
// H = X2-X1, HH = H^2, I = 4*HH, J = H*I, r = 2*(Y2-Y1), V = X1*I
// X3 = r^2-J-2*V, Y3 = r*(V-X3)-2*Y1*J, Z3 = 2*H
//
// This results in a cost of 4 field multiplications, 2 field squarings,
// 6 field additions, and 5 integer multiplications.
// When the x coordinates are the same for two points on the curve, the
// y coordinates either must be the same, in which case it is point
// doubling, or they are opposite and the result is the point at
// infinity per the group law for elliptic curve cryptography.
x1.Normalize()
y1.Normalize()
x2.Normalize()
y2.Normalize()
if x1.Equals(x2) {
if y1.Equals(y2) {
// Since x1 == x2 and y1 == y2, point doubling must be
// done, otherwise the addition would end up dividing
// by zero.
curve.doubleJacobian(x1, y1, z1, x3, y3, z3)
return
}
// Since x1 == x2 and y1 == -y2, the sum is the point at
// infinity per the group law.
x3.SetInt(0)
y3.SetInt(0)
z3.SetInt(0)
return
}
// Calculate X3, Y3, and Z3 according to the intermediate elements
// breakdown above.
var h, i, j, r, v fieldVal
var negJ, neg2V, negX3 fieldVal
h.Set(x1).Negate(1).Add(x2) // H = X2-X1 (mag: 3)
i.SquareVal(&h).MulInt(4) // I = 4*H^2 (mag: 4)
j.Mul2(&h, &i) // J = H*I (mag: 1)
r.Set(y1).Negate(1).Add(y2).MulInt(2) // r = 2*(Y2-Y1) (mag: 6)
v.Mul2(x1, &i) // V = X1*I (mag: 1)
negJ.Set(&j).Negate(1) // negJ = -J (mag: 2)
neg2V.Set(&v).MulInt(2).Negate(2) // neg2V = -(2*V) (mag: 3)
x3.Set(&r).Square().Add(&negJ).Add(&neg2V) // X3 = r^2-J-2*V (mag: 6)
negX3.Set(x3).Negate(6) // negX3 = -X3 (mag: 7)
j.Mul(y1).MulInt(2).Negate(2) // J = -(2*Y1*J) (mag: 3)
y3.Set(&v).Add(&negX3).Mul(&r).Add(&j) // Y3 = r*(V-X3)-2*Y1*J (mag: 4)
z3.Set(&h).MulInt(2) // Z3 = 2*H (mag: 6)
// Normalize the resulting field values to a magnitude of 1 as needed.
x3.Normalize()
y3.Normalize()
z3.Normalize()
}
// addZ1EqualsZ2 adds two Jacobian points that are already known to have the
// same z value and stores the result in (x3, y3, z3). That is to say
// (x1, y1, z1) + (x2, y2, z1) = (x3, y3, z3). It performs faster addition than
// the generic add routine since less arithmetic is needed due to the known
// equivalence.
func (curve *KoblitzCurve) addZ1EqualsZ2(x1, y1, z1, x2, y2, x3, y3, z3 *fieldVal) {
// To compute the point addition efficiently, this implementation splits
// the equation into intermediate elements which are used to minimize
// the number of field multiplications using a slightly modified version
// of the method shown at:
// http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#addition-mmadd-2007-bl
//
// In particular it performs the calculations using the following:
// A = X2-X1, B = A^2, C=Y2-Y1, D = C^2, E = X1*B, F = X2*B
// X3 = D-E-F, Y3 = C*(E-X3)-Y1*(F-E), Z3 = Z1*A
//
// This results in a cost of 5 field multiplications, 2 field squarings,
// 9 field additions, and 0 integer multiplications.
// When the x coordinates are the same for two points on the curve, the
// y coordinates either must be the same, in which case it is point
// doubling, or they are opposite and the result is the point at
// infinity per the group law for elliptic curve cryptography.
x1.Normalize()
y1.Normalize()
x2.Normalize()
y2.Normalize()
if x1.Equals(x2) {
if y1.Equals(y2) {
// Since x1 == x2 and y1 == y2, point doubling must be
// done, otherwise the addition would end up dividing
// by zero.
curve.doubleJacobian(x1, y1, z1, x3, y3, z3)
return
}
// Since x1 == x2 and y1 == -y2, the sum is the point at
// infinity per the group law.
x3.SetInt(0)
y3.SetInt(0)
z3.SetInt(0)
return
}
// Calculate X3, Y3, and Z3 according to the intermediate elements
// breakdown above.
var a, b, c, d, e, f fieldVal
var negX1, negY1, negE, negX3 fieldVal
negX1.Set(x1).Negate(1) // negX1 = -X1 (mag: 2)
negY1.Set(y1).Negate(1) // negY1 = -Y1 (mag: 2)
a.Set(&negX1).Add(x2) // A = X2-X1 (mag: 3)
b.SquareVal(&a) // B = A^2 (mag: 1)
c.Set(&negY1).Add(y2) // C = Y2-Y1 (mag: 3)
d.SquareVal(&c) // D = C^2 (mag: 1)
e.Mul2(x1, &b) // E = X1*B (mag: 1)
negE.Set(&e).Negate(1) // negE = -E (mag: 2)
f.Mul2(x2, &b) // F = X2*B (mag: 1)
x3.Add2(&e, &f).Negate(3).Add(&d) // X3 = D-E-F (mag: 5)
negX3.Set(x3).Negate(5).Normalize() // negX3 = -X3 (mag: 1)
y3.Set(y1).Mul(f.Add(&negE)).Negate(3) // Y3 = -(Y1*(F-E)) (mag: 4)
y3.Add(e.Add(&negX3).Mul(&c)) // Y3 = C*(E-X3)+Y3 (mag: 5)
z3.Mul2(z1, &a) // Z3 = Z1*A (mag: 1)
// Normalize the resulting field values to a magnitude of 1 as needed.
x3.Normalize()
y3.Normalize()
}
// addZ2EqualsOne adds two Jacobian points when the second point is already
// known to have a z value of 1 (and the z value for the first point is not 1)
// and stores the result in (x3, y3, z3). That is to say (x1, y1, z1) +
// (x2, y2, 1) = (x3, y3, z3). It performs faster addition than the generic
// add routine since less arithmetic is needed due to the ability to avoid
// multiplications by the second point's z value.
func (curve *KoblitzCurve) addZ2EqualsOne(x1, y1, z1, x2, y2, x3, y3, z3 *fieldVal) {
// To compute the point addition efficiently, this implementation splits
// the equation into intermediate elements which are used to minimize
// the number of field multiplications using the method shown at:
// http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#addition-madd-2007-bl
//
// In particular it performs the calculations using the following:
// Z1Z1 = Z1^2, U2 = X2*Z1Z1, S2 = Y2*Z1*Z1Z1, H = U2-X1, HH = H^2,
// I = 4*HH, J = H*I, r = 2*(S2-Y1), V = X1*I
// X3 = r^2-J-2*V, Y3 = r*(V-X3)-2*Y1*J, Z3 = (Z1+H)^2-Z1Z1-HH
//
// This results in a cost of 7 field multiplications, 4 field squarings,
// 9 field additions, and 4 integer multiplications.
// When the x coordinates are the same for two points on the curve, the
// y coordinates either must be the same, in which case it is point
// doubling, or they are opposite and the result is the point at
// infinity per the group law for elliptic curve cryptography. Since
// any number of Jacobian coordinates can represent the same affine
// point, the x and y values need to be converted to like terms. Due to
// the assumption made for this function that the second point has a z
// value of 1 (z2=1), the first point is already "converted".
var z1z1, u2, s2 fieldVal
x1.Normalize()
y1.Normalize()
z1z1.SquareVal(z1) // Z1Z1 = Z1^2 (mag: 1)
u2.Set(x2).Mul(&z1z1).Normalize() // U2 = X2*Z1Z1 (mag: 1)
s2.Set(y2).Mul(&z1z1).Mul(z1).Normalize() // S2 = Y2*Z1*Z1Z1 (mag: 1)
if x1.Equals(&u2) {
if y1.Equals(&s2) {
// Since x1 == x2 and y1 == y2, point doubling must be
// done, otherwise the addition would end up dividing
// by zero.
curve.doubleJacobian(x1, y1, z1, x3, y3, z3)
return
}
// Since x1 == x2 and y1 == -y2, the sum is the point at
// infinity per the group law.
x3.SetInt(0)
y3.SetInt(0)
z3.SetInt(0)
return
}
// Calculate X3, Y3, and Z3 according to the intermediate elements
// breakdown above.
var h, hh, i, j, r, rr, v fieldVal
var negX1, negY1, negX3 fieldVal
negX1.Set(x1).Negate(1) // negX1 = -X1 (mag: 2)
h.Add2(&u2, &negX1) // H = U2-X1 (mag: 3)
hh.SquareVal(&h) // HH = H^2 (mag: 1)
i.Set(&hh).MulInt(4) // I = 4 * HH (mag: 4)
j.Mul2(&h, &i) // J = H*I (mag: 1)
negY1.Set(y1).Negate(1) // negY1 = -Y1 (mag: 2)
r.Set(&s2).Add(&negY1).MulInt(2) // r = 2*(S2-Y1) (mag: 6)
rr.SquareVal(&r) // rr = r^2 (mag: 1)
v.Mul2(x1, &i) // V = X1*I (mag: 1)
x3.Set(&v).MulInt(2).Add(&j).Negate(3) // X3 = -(J+2*V) (mag: 4)
x3.Add(&rr) // X3 = r^2+X3 (mag: 5)
negX3.Set(x3).Negate(5) // negX3 = -X3 (mag: 6)
y3.Set(y1).Mul(&j).MulInt(2).Negate(2) // Y3 = -(2*Y1*J) (mag: 3)
y3.Add(v.Add(&negX3).Mul(&r)) // Y3 = r*(V-X3)+Y3 (mag: 4)
z3.Add2(z1, &h).Square() // Z3 = (Z1+H)^2 (mag: 1)
z3.Add(z1z1.Add(&hh).Negate(2)) // Z3 = Z3-(Z1Z1+HH) (mag: 4)
// Normalize the resulting field values to a magnitude of 1 as needed.
x3.Normalize()
y3.Normalize()
z3.Normalize()
}
// addGeneric adds two Jacobian points (x1, y1, z1) and (x2, y2, z2) without any
// assumptions about the z values of the two points and stores the result in
// (x3, y3, z3). That is to say (x1, y1, z1) + (x2, y2, z2) = (x3, y3, z3). It
// is the slowest of the add routines due to requiring the most arithmetic.
func (curve *KoblitzCurve) addGeneric(x1, y1, z1, x2, y2, z2, x3, y3, z3 *fieldVal) {
// To compute the point addition efficiently, this implementation splits
// the equation into intermediate elements which are used to minimize
// the number of field multiplications using the method shown at:
// http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#addition-add-2007-bl
//
// In particular it performs the calculations using the following:
// Z1Z1 = Z1^2, Z2Z2 = Z2^2, U1 = X1*Z2Z2, U2 = X2*Z1Z1, S1 = Y1*Z2*Z2Z2
// S2 = Y2*Z1*Z1Z1, H = U2-U1, I = (2*H)^2, J = H*I, r = 2*(S2-S1)
// V = U1*I
// X3 = r^2-J-2*V, Y3 = r*(V-X3)-2*S1*J, Z3 = ((Z1+Z2)^2-Z1Z1-Z2Z2)*H
//
// This results in a cost of 11 field multiplications, 5 field squarings,
// 9 field additions, and 4 integer multiplications.
// When the x coordinates are the same for two points on the curve, the
// y coordinates either must be the same, in which case it is point
// doubling, or they are opposite and the result is the point at
// infinity. Since any number of Jacobian coordinates can represent the
// same affine point, the x and y values need to be converted to like
// terms.
var z1z1, z2z2, u1, u2, s1, s2 fieldVal
z1z1.SquareVal(z1) // Z1Z1 = Z1^2 (mag: 1)
z2z2.SquareVal(z2) // Z2Z2 = Z2^2 (mag: 1)
u1.Set(x1).Mul(&z2z2).Normalize() // U1 = X1*Z2Z2 (mag: 1)
u2.Set(x2).Mul(&z1z1).Normalize() // U2 = X2*Z1Z1 (mag: 1)
s1.Set(y1).Mul(&z2z2).Mul(z2).Normalize() // S1 = Y1*Z2*Z2Z2 (mag: 1)
s2.Set(y2).Mul(&z1z1).Mul(z1).Normalize() // S2 = Y2*Z1*Z1Z1 (mag: 1)
if u1.Equals(&u2) {
if s1.Equals(&s2) {
// Since x1 == x2 and y1 == y2, point doubling must be
// done, otherwise the addition would end up dividing
// by zero.
curve.doubleJacobian(x1, y1, z1, x3, y3, z3)
return
}
// Since x1 == x2 and y1 == -y2, the sum is the point at
// infinity per the group law.
x3.SetInt(0)
y3.SetInt(0)
z3.SetInt(0)
return
}
// Calculate X3, Y3, and Z3 according to the intermediate elements
// breakdown above.
var h, i, j, r, rr, v fieldVal
var negU1, negS1, negX3 fieldVal
negU1.Set(&u1).Negate(1) // negU1 = -U1 (mag: 2)
h.Add2(&u2, &negU1) // H = U2-U1 (mag: 3)
i.Set(&h).MulInt(2).Square() // I = (2*H)^2 (mag: 2)
j.Mul2(&h, &i) // J = H*I (mag: 1)
negS1.Set(&s1).Negate(1) // negS1 = -S1 (mag: 2)
r.Set(&s2).Add(&negS1).MulInt(2) // r = 2*(S2-S1) (mag: 6)
rr.SquareVal(&r) // rr = r^2 (mag: 1)
v.Mul2(&u1, &i) // V = U1*I (mag: 1)
x3.Set(&v).MulInt(2).Add(&j).Negate(3) // X3 = -(J+2*V) (mag: 4)
x3.Add(&rr) // X3 = r^2+X3 (mag: 5)
negX3.Set(x3).Negate(5) // negX3 = -X3 (mag: 6)
y3.Mul2(&s1, &j).MulInt(2).Negate(2) // Y3 = -(2*S1*J) (mag: 3)
y3.Add(v.Add(&negX3).Mul(&r)) // Y3 = r*(V-X3)+Y3 (mag: 4)
z3.Add2(z1, z2).Square() // Z3 = (Z1+Z2)^2 (mag: 1)
z3.Add(z1z1.Add(&z2z2).Negate(2)) // Z3 = Z3-(Z1Z1+Z2Z2) (mag: 4)
z3.Mul(&h) // Z3 = Z3*H (mag: 1)
// Normalize the resulting field values to a magnitude of 1 as needed.
x3.Normalize()
y3.Normalize()
}
// addJacobian adds the passed Jacobian points (x1, y1, z1) and (x2, y2, z2)
// together and stores the result in (x3, y3, z3).
func (curve *KoblitzCurve) addJacobian(x1, y1, z1, x2, y2, z2, x3, y3, z3 *fieldVal) {
// A point at infinity is the identity according to the group law for
// elliptic curve cryptography. Thus, ∞ + P = P and P + ∞ = P.
if (x1.IsZero() && y1.IsZero()) || z1.IsZero() {
x3.Set(x2)
y3.Set(y2)
z3.Set(z2)
return
}
if (x2.IsZero() && y2.IsZero()) || z2.IsZero() {
x3.Set(x1)
y3.Set(y1)
z3.Set(z1)
return
}
// Faster point addition can be achieved when certain assumptions are
// met. For example, when both points have the same z value, arithmetic
// on the z values can be avoided. This section thus checks for these
// conditions and calls an appropriate add function which is accelerated
// by using those assumptions.
z1.Normalize()
z2.Normalize()
isZ1One := z1.Equals(fieldOne)
isZ2One := z2.Equals(fieldOne)
switch {
case isZ1One && isZ2One:
curve.addZ1AndZ2EqualsOne(x1, y1, z1, x2, y2, x3, y3, z3)
return
case z1.Equals(z2):
curve.addZ1EqualsZ2(x1, y1, z1, x2, y2, x3, y3, z3)
return
case isZ2One:
curve.addZ2EqualsOne(x1, y1, z1, x2, y2, x3, y3, z3)
return
}
// None of the above assumptions are true, so fall back to generic
// point addition.
curve.addGeneric(x1, y1, z1, x2, y2, z2, x3, y3, z3)
}
// Add returns the sum of (x1,y1) and (x2,y2). Part of the elliptic.Curve
// interface.
func (curve *KoblitzCurve) Add(x1, y1, x2, y2 *big.Int) (*big.Int, *big.Int) {
// A point at infinity is the identity according to the group law for
// elliptic curve cryptography. Thus, ∞ + P = P and P + ∞ = P.
if x1.Sign() == 0 && y1.Sign() == 0 {
return x2, y2
}
if x2.Sign() == 0 && y2.Sign() == 0 {
return x1, y1
}
// Convert the affine coordinates from big integers to field values
// and do the point addition in Jacobian projective space.
fx1, fy1 := curve.bigAffineToField(x1, y1)
fx2, fy2 := curve.bigAffineToField(x2, y2)
fx3, fy3, fz3 := new(fieldVal), new(fieldVal), new(fieldVal)
fOne := new(fieldVal).SetInt(1)
curve.addJacobian(fx1, fy1, fOne, fx2, fy2, fOne, fx3, fy3, fz3)
// Convert the Jacobian coordinate field values back to affine big
// integers.
return curve.fieldJacobianToBigAffine(fx3, fy3, fz3)
}
// doubleZ1EqualsOne performs point doubling on the passed Jacobian point
// when the point is already known to have a z value of 1 and stores
// the result in (x3, y3, z3). That is to say (x3, y3, z3) = 2*(x1, y1, 1). It
// performs faster point doubling than the generic routine since less arithmetic
// is needed due to the ability to avoid multiplication by the z value.
func (curve *KoblitzCurve) doubleZ1EqualsOne(x1, y1, x3, y3, z3 *fieldVal) {
// This function uses the assumptions that z1 is 1, thus the point
// doubling formulas reduce to:
//
// X3 = (3*X1^2)^2 - 8*X1*Y1^2
// Y3 = (3*X1^2)*(4*X1*Y1^2 - X3) - 8*Y1^4
// Z3 = 2*Y1
//
// To compute the above efficiently, this implementation splits the
// equation into intermediate elements which are used to minimize the
// number of field multiplications in favor of field squarings which
// are roughly 35% faster than field multiplications with the current
// implementation at the time this was written.
//
// This uses a slightly modified version of the method shown at:
// http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#doubling-mdbl-2007-bl
//
// In particular it performs the calculations using the following:
// A = X1^2, B = Y1^2, C = B^2, D = 2*((X1+B)^2-A-C)
// E = 3*A, F = E^2, X3 = F-2*D, Y3 = E*(D-X3)-8*C
// Z3 = 2*Y1
//
// This results in a cost of 1 field multiplication, 5 field squarings,
// 6 field additions, and 5 integer multiplications.
var a, b, c, d, e, f fieldVal
z3.Set(y1).MulInt(2) // Z3 = 2*Y1 (mag: 2)
a.SquareVal(x1) // A = X1^2 (mag: 1)
b.SquareVal(y1) // B = Y1^2 (mag: 1)
c.SquareVal(&b) // C = B^2 (mag: 1)
b.Add(x1).Square() // B = (X1+B)^2 (mag: 1)
d.Set(&a).Add(&c).Negate(2) // D = -(A+C) (mag: 3)
d.Add(&b).MulInt(2) // D = 2*(B+D)(mag: 8)
e.Set(&a).MulInt(3) // E = 3*A (mag: 3)
f.SquareVal(&e) // F = E^2 (mag: 1)
x3.Set(&d).MulInt(2).Negate(16) // X3 = -(2*D) (mag: 17)
x3.Add(&f) // X3 = F+X3 (mag: 18)
f.Set(x3).Negate(18).Add(&d).Normalize() // F = D-X3 (mag: 1)
y3.Set(&c).MulInt(8).Negate(8) // Y3 = -(8*C) (mag: 9)
y3.Add(f.Mul(&e)) // Y3 = E*F+Y3 (mag: 10)
// Normalize the field values back to a magnitude of 1.
x3.Normalize()
y3.Normalize()
z3.Normalize()
}
// doubleGeneric performs point doubling on the passed Jacobian point without
// any assumptions about the z value and stores the result in (x3, y3, z3).
// That is to say (x3, y3, z3) = 2*(x1, y1, z1). It is the slowest of the point
// doubling routines due to requiring the most arithmetic.
func (curve *KoblitzCurve) doubleGeneric(x1, y1, z1, x3, y3, z3 *fieldVal) {
// Point doubling formula for Jacobian coordinates for the secp256k1
// curve:
// X3 = (3*X1^2)^2 - 8*X1*Y1^2
// Y3 = (3*X1^2)*(4*X1*Y1^2 - X3) - 8*Y1^4
// Z3 = 2*Y1*Z1
//
// To compute the above efficiently, this implementation splits the
// equation into intermediate elements which are used to minimize the
// number of field multiplications in favor of field squarings which
// are roughly 35% faster than field multiplications with the current
// implementation at the time this was written.
//
// This uses a slightly modified version of the method shown at:
// http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#doubling-dbl-2009-l
//
// In particular it performs the calculations using the following:
// A = X1^2, B = Y1^2, C = B^2, D = 2*((X1+B)^2-A-C)
// E = 3*A, F = E^2, X3 = F-2*D, Y3 = E*(D-X3)-8*C
// Z3 = 2*Y1*Z1
//
// This results in a cost of 1 field multiplication, 5 field squarings,
// 6 field additions, and 5 integer multiplications.
var a, b, c, d, e, f fieldVal
z3.Mul2(y1, z1).MulInt(2) // Z3 = 2*Y1*Z1 (mag: 2)
a.SquareVal(x1) // A = X1^2 (mag: 1)
b.SquareVal(y1) // B = Y1^2 (mag: 1)
c.SquareVal(&b) // C = B^2 (mag: 1)
b.Add(x1).Square() // B = (X1+B)^2 (mag: 1)
d.Set(&a).Add(&c).Negate(2) // D = -(A+C) (mag: 3)
d.Add(&b).MulInt(2) // D = 2*(B+D)(mag: 8)
e.Set(&a).MulInt(3) // E = 3*A (mag: 3)
f.SquareVal(&e) // F = E^2 (mag: 1)
x3.Set(&d).MulInt(2).Negate(16) // X3 = -(2*D) (mag: 17)
x3.Add(&f) // X3 = F+X3 (mag: 18)
f.Set(x3).Negate(18).Add(&d).Normalize() // F = D-X3 (mag: 1)
y3.Set(&c).MulInt(8).Negate(8) // Y3 = -(8*C) (mag: 9)
y3.Add(f.Mul(&e)) // Y3 = E*F+Y3 (mag: 10)
// Normalize the field values back to a magnitude of 1.
x3.Normalize()
y3.Normalize()
z3.Normalize()
}
// doubleJacobian doubles the passed Jacobian point (x1, y1, z1) and stores the
// result in (x3, y3, z3).
func (curve *KoblitzCurve) doubleJacobian(x1, y1, z1, x3, y3, z3 *fieldVal) {
// Doubling a point at infinity is still infinity.
if y1.IsZero() || z1.IsZero() {
x3.SetInt(0)
y3.SetInt(0)
z3.SetInt(0)
return
}
// Slightly faster point doubling can be achieved when the z value is 1
// by avoiding the multiplication on the z value. This section calls
// a point doubling function which is accelerated by using that
// assumption when possible.
if z1.Normalize().Equals(fieldOne) {
curve.doubleZ1EqualsOne(x1, y1, x3, y3, z3)
return
}
// Fall back to generic point doubling which works with arbitrary z
// values.
curve.doubleGeneric(x1, y1, z1, x3, y3, z3)
}
// Double returns 2*(x1,y1). Part of the elliptic.Curve interface.
func (curve *KoblitzCurve) Double(x1, y1 *big.Int) (*big.Int, *big.Int) {
if y1.Sign() == 0 {
return new(big.Int), new(big.Int)
}
// Convert the affine coordinates from big integers to field values
// and do the point doubling in Jacobian projective space.
fx1, fy1 := curve.bigAffineToField(x1, y1)
fx3, fy3, fz3 := new(fieldVal), new(fieldVal), new(fieldVal)
fOne := new(fieldVal).SetInt(1)
curve.doubleJacobian(fx1, fy1, fOne, fx3, fy3, fz3)
// Convert the Jacobian coordinate field values back to affine big
// integers.
return curve.fieldJacobianToBigAffine(fx3, fy3, fz3)
}
// splitK returns a balanced length-two representation of k and their signs.
// This is algorithm 3.74 from [GECC].
//
// One thing of note about this algorithm is that no matter what c1 and c2 are,
// the final equation of k = k1 + k2 * lambda (mod n) will hold. This is
// provable mathematically due to how a1/b1/a2/b2 are computed.
//
// c1 and c2 are chosen to minimize the max(k1,k2).
func (curve *KoblitzCurve) splitK(k []byte) ([]byte, []byte, int, int) {
// All math here is done with big.Int, which is slow.
// At some point, it might be useful to write something similar to
// fieldVal but for N instead of P as the prime field if this ends up
// being a bottleneck.
bigIntK := new(big.Int)
c1, c2 := new(big.Int), new(big.Int)
tmp1, tmp2 := new(big.Int), new(big.Int)
k1, k2 := new(big.Int), new(big.Int)
bigIntK.SetBytes(k)
// c1 = round(b2 * k / n) from step 4.
// Rounding isn't really necessary and costs too much, hence skipped
c1.Mul(curve.b2, bigIntK)
c1.Div(c1, curve.N)
// c2 = round(b1 * k / n) from step 4 (sign reversed to optimize one step)
// Rounding isn't really necessary and costs too much, hence skipped
c2.Mul(curve.b1, bigIntK)
c2.Div(c2, curve.N)
// k1 = k - c1 * a1 - c2 * a2 from step 5 (note c2's sign is reversed)
tmp1.Mul(c1, curve.a1)
tmp2.Mul(c2, curve.a2)
k1.Sub(bigIntK, tmp1)
k1.Add(k1, tmp2)
// k2 = - c1 * b1 - c2 * b2 from step 5 (note c2's sign is reversed)
tmp1.Mul(c1, curve.b1)
tmp2.Mul(c2, curve.b2)
k2.Sub(tmp2, tmp1)
// Note Bytes() throws out the sign of k1 and k2. This matters
// since k1 and/or k2 can be negative. Hence, we pass that
// back separately.
return k1.Bytes(), k2.Bytes(), k1.Sign(), k2.Sign()
}
// moduloReduce reduces k from more than 32 bytes to 32 bytes and under. This
// is done by doing a simple modulo curve.N. We can do this since G^N = 1 and
// thus any other valid point on the elliptic curve has the same order.
func (curve *KoblitzCurve) moduloReduce(k []byte) []byte {
// Since the order of G is curve.N, we can use a much smaller number
// by doing modulo curve.N
if len(k) > curve.byteSize {
// Reduce k by performing modulo curve.N.
tmpK := new(big.Int).SetBytes(k)
tmpK.Mod(tmpK, curve.N)
return tmpK.Bytes()
}
return k
}
// NAF takes a positive integer k and returns the Non-Adjacent Form (NAF) as two
// byte slices. The first is where 1s will be. The second is where -1s will
// be. NAF is convenient in that on average, only 1/3rd of its values are
// non-zero. This is algorithm 3.30 from [GECC].
//
// Essentially, this makes it possible to minimize the number of operations
// since the resulting ints returned will be at least 50% 0s.
func NAF(k []byte) ([]byte, []byte) {
// The essence of this algorithm is that whenever we have consecutive 1s
// in the binary, we want to put a -1 in the lowest bit and get a bunch
// of 0s up to the highest bit of consecutive 1s. This is due to this
// identity:
// 2^n + 2^(n-1) + 2^(n-2) + ... + 2^(n-k) = 2^(n+1) - 2^(n-k)
//
// The algorithm thus may need to go 1 more bit than the length of the
// bits we actually have, hence bits being 1 bit longer than was
// necessary. Since we need to know whether adding will cause a carry,
// we go from right-to-left in this addition.
var carry, curIsOne, nextIsOne bool
// these default to zero
retPos := make([]byte, len(k)+1)
retNeg := make([]byte, len(k)+1)
for i := len(k) - 1; i >= 0; i-- {
curByte := k[i]
for j := uint(0); j < 8; j++ {
curIsOne = curByte&1 == 1
if j == 7 {
if i == 0 {
nextIsOne = false
} else {
nextIsOne = k[i-1]&1 == 1
}
} else {
nextIsOne = curByte&2 == 2
}
if carry {
if curIsOne {
// This bit is 1, so continue to carry
// and don't need to do anything.
} else {
// We've hit a 0 after some number of
// 1s.
if nextIsOne {
// Start carrying again since
// a new sequence of 1s is
// starting.
retNeg[i+1] += 1 << j
} else {
// Stop carrying since 1s have
// stopped.
carry = false
retPos[i+1] += 1 << j
}
}
} else if curIsOne {
if nextIsOne {
// If this is the start of at least 2
// consecutive 1s, set the current one
// to -1 and start carrying.
retNeg[i+1] += 1 << j
carry = true
} else {
// This is a singleton, not consecutive
// 1s.
retPos[i+1] += 1 << j
}
}
curByte >>= 1
}
}
if carry {
retPos[0] = 1
}
return retPos, retNeg
}
// ScalarMult returns k*(Bx, By) where k is a big endian integer.
// Part of the elliptic.Curve interface.
func (curve *KoblitzCurve) ScalarMult(Bx, By *big.Int, k []byte) (*big.Int, *big.Int) {
// Point Q = ∞ (point at infinity).
qx, qy, qz := new(fieldVal), new(fieldVal), new(fieldVal)
// Decompose K into k1 and k2 in order to halve the number of EC ops.
// See Algorithm 3.74 in [GECC].
k1, k2, signK1, signK2 := curve.splitK(curve.moduloReduce(k))
// The main equation here to remember is:
// k * P = k1 * P + k2 * ϕ(P)
//
// P1 below is P in the equation, P2 below is ϕ(P) in the equation
p1x, p1y := curve.bigAffineToField(Bx, By)
p1yNeg := new(fieldVal).NegateVal(p1y, 1)
p1z := new(fieldVal).SetInt(1)
// NOTE: ϕ(x,y) = (βx,y). The Jacobian z coordinate is 1, so this math
// goes through.
p2x := new(fieldVal).Mul2(p1x, curve.beta)
p2y := new(fieldVal).Set(p1y)
p2yNeg := new(fieldVal).NegateVal(p2y, 1)
p2z := new(fieldVal).SetInt(1)
// Flip the positive and negative values of the points as needed
// depending on the signs of k1 and k2. As mentioned in the equation
// above, each of k1 and k2 are multiplied by the respective point.
// Since -k * P is the same thing as k * -P, and the group law for
// elliptic curves states that P(x, y) = -P(x, -y), it's faster and
// simplifies the code to just make the point negative.
if signK1 == -1 {
p1y, p1yNeg = p1yNeg, p1y
}
if signK2 == -1 {
p2y, p2yNeg = p2yNeg, p2y
}
// NAF versions of k1 and k2 should have a lot more zeros.
//
// The Pos version of the bytes contain the +1s and the Neg versions
// contain the -1s.
k1PosNAF, k1NegNAF := NAF(k1)
k2PosNAF, k2NegNAF := NAF(k2)
k1Len := len(k1PosNAF)
k2Len := len(k2PosNAF)
m := k1Len
if m < k2Len {
m = k2Len
}
// Add left-to-right using the NAF optimization. See algorithm 3.77
// from [GECC]. This should be faster overall since there will be a lot
// more instances of 0, hence reducing the number of Jacobian additions
// at the cost of 1 possible extra doubling.
var k1BytePos, k1ByteNeg, k2BytePos, k2ByteNeg byte
for i := 0; i < m; i++ {
// Since we're going left-to-right, pad the front with 0s.
if i < m-k1Len {
k1BytePos = 0
k1ByteNeg = 0
} else {
k1BytePos = k1PosNAF[i-(m-k1Len)]
k1ByteNeg = k1NegNAF[i-(m-k1Len)]
}
if i < m-k2Len {
k2BytePos = 0
k2ByteNeg = 0
} else {
k2BytePos = k2PosNAF[i-(m-k2Len)]
k2ByteNeg = k2NegNAF[i-(m-k2Len)]
}
for j := 7; j >= 0; j-- {
// Q = 2 * Q
curve.doubleJacobian(qx, qy, qz, qx, qy, qz)
if k1BytePos&0x80 == 0x80 {
curve.addJacobian(qx, qy, qz, p1x, p1y, p1z,
qx, qy, qz)
} else if k1ByteNeg&0x80 == 0x80 {
curve.addJacobian(qx, qy, qz, p1x, p1yNeg, p1z,
qx, qy, qz)
}
if k2BytePos&0x80 == 0x80 {
curve.addJacobian(qx, qy, qz, p2x, p2y, p2z,
qx, qy, qz)
} else if k2ByteNeg&0x80 == 0x80 {
curve.addJacobian(qx, qy, qz, p2x, p2yNeg, p2z,
qx, qy, qz)
}
k1BytePos <<= 1
k1ByteNeg <<= 1
k2BytePos <<= 1
k2ByteNeg <<= 1
}
}
// Convert the Jacobian coordinate field values back to affine big.Ints.
return curve.fieldJacobianToBigAffine(qx, qy, qz)
}
// ScalarBaseMult returns k*G where G is the base point of the group and k is a
// big endian integer.
// Part of the elliptic.Curve interface.
func (curve *KoblitzCurve) ScalarBaseMult(k []byte) (*big.Int, *big.Int) {
newK := curve.moduloReduce(k)
diff := len(curve.bytePoints) - len(newK)
// Point Q = ∞ (point at infinity).
qx, qy, qz := new(fieldVal), new(fieldVal), new(fieldVal)
// curve.bytePoints has all 256 byte points for each 8-bit window. The
// strategy is to add up the byte points. This is best understood by
// expressing k in base-256 which it already sort of is.
// Each "digit" in the 8-bit window can be looked up using bytePoints
// and added together.
for i, byteVal := range newK {
p := curve.bytePoints[diff+i][byteVal]
curve.addJacobian(qx, qy, qz, &p[0], &p[1], &p[2], qx, qy, qz)
}
return curve.fieldJacobianToBigAffine(qx, qy, qz)
}
// QPlus1Div4 returns the Q+1/4 constant for the curve for use in calculating
// square roots via exponention.
func (curve *KoblitzCurve) QPlus1Div4() *big.Int {
return curve.q
}
var initonce sync.Once
var secp256k1 KoblitzCurve
func initAll() {
initS256()
}
// fromHex converts the passed hex string into a big integer pointer and will
// panic is there is an error. This is only provided for the hard-coded
// constants so errors in the source code can bet detected. It will only (and
// must only) be called for initialization purposes.
func fromHex(s string) *big.Int {
r, ok := new(big.Int).SetString(s, 16)
if !ok {
panic("invalid hex in source file: " + s)
}
return r
}
func initS256() {
// Curve parameters taken from [SECG] section 2.4.1.
secp256k1.CurveParams = new(elliptic.CurveParams)
secp256k1.P = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F")
secp256k1.N = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141")
secp256k1.B = fromHex("0000000000000000000000000000000000000000000000000000000000000007")
secp256k1.Gx = fromHex("79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798")
secp256k1.Gy = fromHex("483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8")
secp256k1.BitSize = 256
secp256k1.H = 1
secp256k1.q = new(big.Int).Div(new(big.Int).Add(secp256k1.P,
big.NewInt(1)), big.NewInt(4))
// Provided for convenience since this gets computed repeatedly.
secp256k1.byteSize = secp256k1.BitSize / 8
// Deserialize and set the pre-computed table used to accelerate scalar
// base multiplication. This is hard-coded data, so any errors are
// panics because it means something is wrong in the source code.
if err := loadS256BytePoints(); err != nil {
panic(err)
}
// Next 6 constants are from Hal Finney's bitcointalk.org post:
// https://bitcointalk.org/index.php?topic=3238.msg45565#msg45565
// May he rest in peace.
//
// They have also been independently derived from the code in the
// EndomorphismVectors function in gensecp256k1.go.
secp256k1.lambda = fromHex("5363AD4CC05C30E0A5261C028812645A122E22EA20816678DF02967C1B23BD72")
secp256k1.beta = new(fieldVal).SetHex("7AE96A2B657C07106E64479EAC3434E99CF0497512F58995C1396C28719501EE")
secp256k1.a1 = fromHex("3086D221A7D46BCDE86C90E49284EB15")
secp256k1.b1 = fromHex("-E4437ED6010E88286F547FA90ABFE4C3")
secp256k1.a2 = fromHex("114CA50F7A8E2F3F657C1108D9D44CFD8")
secp256k1.b2 = fromHex("3086D221A7D46BCDE86C90E49284EB15")
// Alternatively, we can use the parameters below, however, they seem
// to be about 8% slower.
// secp256k1.lambda = fromHex("AC9C52B33FA3CF1F5AD9E3FD77ED9BA4A880B9FC8EC739C2E0CFC810B51283CE")
// secp256k1.beta = new(fieldVal).SetHex("851695D49A83F8EF919BB86153CBCB16630FB68AED0A766A3EC693D68E6AFA40")
// secp256k1.a1 = fromHex("E4437ED6010E88286F547FA90ABFE4C3")
// secp256k1.b1 = fromHex("-3086D221A7D46BCDE86C90E49284EB15")
// secp256k1.a2 = fromHex("3086D221A7D46BCDE86C90E49284EB15")
// secp256k1.b2 = fromHex("114CA50F7A8E2F3F657C1108D9D44CFD8")
}
// S256 returns a Curve which implements secp256k1.
func S256() *KoblitzCurve {
initonce.Do(initAll)
return &secp256k1
}

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// Copyright (c) 2015-2016 The btcsuite developers
// Use of this source code is governed by an ISC
// license that can be found in the LICENSE file.
package btcec
import (
"bytes"
"crypto/aes"
"crypto/cipher"
"crypto/hmac"
"crypto/rand"
"crypto/sha256"
"crypto/sha512"
"errors"
"io"
)
var (
// ErrInvalidMAC occurs when Message Authentication Check (MAC) fails
// during decryption. This happens because of either invalid private key or
// corrupt ciphertext.
ErrInvalidMAC = errors.New("invalid mac hash")
// errInputTooShort occurs when the input ciphertext to the Decrypt
// function is less than 134 bytes long.
errInputTooShort = errors.New("ciphertext too short")
// errUnsupportedCurve occurs when the first two bytes of the encrypted
// text aren't 0x02CA (= 712 = secp256k1, from OpenSSL).
errUnsupportedCurve = errors.New("unsupported curve")
errInvalidXLength = errors.New("invalid X length, must be 32")
errInvalidYLength = errors.New("invalid Y length, must be 32")
errInvalidPadding = errors.New("invalid PKCS#7 padding")
// 0x02CA = 714
ciphCurveBytes = [2]byte{0x02, 0xCA}
// 0x20 = 32
ciphCoordLength = [2]byte{0x00, 0x20}
)
// GenerateSharedSecret generates a shared secret based on a private key and a
// public key using Diffie-Hellman key exchange (ECDH) (RFC 4753).
// RFC5903 Section 9 states we should only return x.
func GenerateSharedSecret(privkey *PrivateKey, pubkey *PublicKey) []byte {
x, _ := pubkey.Curve.ScalarMult(pubkey.X, pubkey.Y, privkey.D.Bytes())
return x.Bytes()
}
// Encrypt encrypts data for the target public key using AES-256-CBC. It also
// generates a private key (the pubkey of which is also in the output). The only
// supported curve is secp256k1. The `structure' that it encodes everything into
// is:
//
// struct {
// // Initialization Vector used for AES-256-CBC
// IV [16]byte
// // Public Key: curve(2) + len_of_pubkeyX(2) + pubkeyX +
// // len_of_pubkeyY(2) + pubkeyY (curve = 714)
// PublicKey [70]byte
// // Cipher text
// Data []byte
// // HMAC-SHA-256 Message Authentication Code
// HMAC [32]byte
// }
//
// The primary aim is to ensure byte compatibility with Pyelliptic. Also, refer
// to section 5.8.1 of ANSI X9.63 for rationale on this format.
func Encrypt(pubkey *PublicKey, in []byte) ([]byte, error) {
ephemeral, err := NewPrivateKey(S256())
if err != nil {
return nil, err
}
ecdhKey := GenerateSharedSecret(ephemeral, pubkey)
derivedKey := sha512.Sum512(ecdhKey)
keyE := derivedKey[:32]
keyM := derivedKey[32:]
paddedIn := addPKCSPadding(in)
// IV + Curve params/X/Y + padded plaintext/ciphertext + HMAC-256
out := make([]byte, aes.BlockSize+70+len(paddedIn)+sha256.Size)
iv := out[:aes.BlockSize]
if _, err = io.ReadFull(rand.Reader, iv); err != nil {
return nil, err
}
// start writing public key
pb := ephemeral.PubKey().SerializeUncompressed()
offset := aes.BlockSize
// curve and X length
copy(out[offset:offset+4], append(ciphCurveBytes[:], ciphCoordLength[:]...))
offset += 4
// X
copy(out[offset:offset+32], pb[1:33])
offset += 32
// Y length
copy(out[offset:offset+2], ciphCoordLength[:])
offset += 2
// Y
copy(out[offset:offset+32], pb[33:])
offset += 32
// start encryption
block, err := aes.NewCipher(keyE)
if err != nil {
return nil, err
}
mode := cipher.NewCBCEncrypter(block, iv)
mode.CryptBlocks(out[offset:len(out)-sha256.Size], paddedIn)
// start HMAC-SHA-256
hm := hmac.New(sha256.New, keyM)
hm.Write(out[:len(out)-sha256.Size]) // everything is hashed
copy(out[len(out)-sha256.Size:], hm.Sum(nil)) // write checksum
return out, nil
}
// Decrypt decrypts data that was encrypted using the Encrypt function.
func Decrypt(priv *PrivateKey, in []byte) ([]byte, error) {
// IV + Curve params/X/Y + 1 block + HMAC-256
if len(in) < aes.BlockSize+70+aes.BlockSize+sha256.Size {
return nil, errInputTooShort
}
// read iv
iv := in[:aes.BlockSize]
offset := aes.BlockSize
// start reading pubkey
if !bytes.Equal(in[offset:offset+2], ciphCurveBytes[:]) {
return nil, errUnsupportedCurve
}
offset += 2
if !bytes.Equal(in[offset:offset+2], ciphCoordLength[:]) {
return nil, errInvalidXLength
}
offset += 2
xBytes := in[offset : offset+32]
offset += 32
if !bytes.Equal(in[offset:offset+2], ciphCoordLength[:]) {
return nil, errInvalidYLength
}
offset += 2
yBytes := in[offset : offset+32]
offset += 32
pb := make([]byte, 65)
pb[0] = byte(0x04) // uncompressed
copy(pb[1:33], xBytes)
copy(pb[33:], yBytes)
// check if (X, Y) lies on the curve and create a Pubkey if it does
pubkey, err := ParsePubKey(pb, S256())
if err != nil {
return nil, err
}
// check for cipher text length
if (len(in)-aes.BlockSize-offset-sha256.Size)%aes.BlockSize != 0 {
return nil, errInvalidPadding // not padded to 16 bytes
}
// read hmac
messageMAC := in[len(in)-sha256.Size:]
// generate shared secret
ecdhKey := GenerateSharedSecret(priv, pubkey)
derivedKey := sha512.Sum512(ecdhKey)
keyE := derivedKey[:32]
keyM := derivedKey[32:]
// verify mac
hm := hmac.New(sha256.New, keyM)
hm.Write(in[:len(in)-sha256.Size]) // everything is hashed
expectedMAC := hm.Sum(nil)
if !hmac.Equal(messageMAC, expectedMAC) {
return nil, ErrInvalidMAC
}
// start decryption
block, err := aes.NewCipher(keyE)
if err != nil {
return nil, err
}
mode := cipher.NewCBCDecrypter(block, iv)
// same length as ciphertext
plaintext := make([]byte, len(in)-offset-sha256.Size)
mode.CryptBlocks(plaintext, in[offset:len(in)-sha256.Size])
return removePKCSPadding(plaintext)
}
// Implement PKCS#7 padding with block size of 16 (AES block size).
// addPKCSPadding adds padding to a block of data
func addPKCSPadding(src []byte) []byte {
padding := aes.BlockSize - len(src)%aes.BlockSize
padtext := bytes.Repeat([]byte{byte(padding)}, padding)
return append(src, padtext...)
}
// removePKCSPadding removes padding from data that was added with addPKCSPadding
func removePKCSPadding(src []byte) ([]byte, error) {
length := len(src)
padLength := int(src[length-1])
if padLength > aes.BlockSize || length < aes.BlockSize {
return nil, errInvalidPadding
}
return src[:length-padLength], nil
}

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// Copyright (c) 2013-2014 The btcsuite developers
// Use of this source code is governed by an ISC
// license that can be found in the LICENSE file.
/*
Package btcec implements support for the elliptic curves needed for bitcoin.
Bitcoin uses elliptic curve cryptography using koblitz curves
(specifically secp256k1) for cryptographic functions. See
http://www.secg.org/collateral/sec2_final.pdf for details on the
standard.
This package provides the data structures and functions implementing the
crypto/elliptic Curve interface in order to permit using these curves
with the standard crypto/ecdsa package provided with go. Helper
functionality is provided to parse signatures and public keys from
standard formats. It was designed for use with btcd, but should be
general enough for other uses of elliptic curve crypto. It was originally based
on some initial work by ThePiachu, but has significantly diverged since then.
*/
package btcec

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// Copyright 2015 The btcsuite developers
// Use of this source code is governed by an ISC
// license that can be found in the LICENSE file.
// This file is ignored during the regular build due to the following build tag.
// It is called by go generate and used to automatically generate pre-computed
// tables used to accelerate operations.
// +build ignore
package main
import (
"bytes"
"compress/zlib"
"encoding/base64"
"fmt"
"log"
"os"
"github.com/btcsuite/btcd/btcec"
)
func main() {
fi, err := os.Create("secp256k1.go")
if err != nil {
log.Fatal(err)
}
defer fi.Close()
// Compress the serialized byte points.
serialized := btcec.S256().SerializedBytePoints()
var compressed bytes.Buffer
w := zlib.NewWriter(&compressed)
if _, err := w.Write(serialized); err != nil {
fmt.Println(err)
os.Exit(1)
}
w.Close()
// Encode the compressed byte points with base64.
encoded := make([]byte, base64.StdEncoding.EncodedLen(compressed.Len()))
base64.StdEncoding.Encode(encoded, compressed.Bytes())
fmt.Fprintln(fi, "// Copyright (c) 2015 The btcsuite developers")
fmt.Fprintln(fi, "// Use of this source code is governed by an ISC")
fmt.Fprintln(fi, "// license that can be found in the LICENSE file.")
fmt.Fprintln(fi)
fmt.Fprintln(fi, "package btcec")
fmt.Fprintln(fi)
fmt.Fprintln(fi, "// Auto-generated file (see genprecomps.go)")
fmt.Fprintln(fi, "// DO NOT EDIT")
fmt.Fprintln(fi)
fmt.Fprintf(fi, "var secp256k1BytePoints = %q\n", string(encoded))
a1, b1, a2, b2 := btcec.S256().EndomorphismVectors()
fmt.Println("The following values are the computed linearly " +
"independent vectors needed to make use of the secp256k1 " +
"endomorphism:")
fmt.Printf("a1: %x\n", a1)
fmt.Printf("b1: %x\n", b1)
fmt.Printf("a2: %x\n", a2)
fmt.Printf("b2: %x\n", b2)
}

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// Copyright (c) 2014-2015 The btcsuite developers
// Use of this source code is governed by an ISC
// license that can be found in the LICENSE file.
// This file is ignored during the regular build due to the following build tag.
// This build tag is set during go generate.
// +build gensecp256k1
package btcec
// References:
// [GECC]: Guide to Elliptic Curve Cryptography (Hankerson, Menezes, Vanstone)
import (
"encoding/binary"
"math/big"
)
// secp256k1BytePoints are dummy points used so the code which generates the
// real values can compile.
var secp256k1BytePoints = ""
// getDoublingPoints returns all the possible G^(2^i) for i in
// 0..n-1 where n is the curve's bit size (256 in the case of secp256k1)
// the coordinates are recorded as Jacobian coordinates.
func (curve *KoblitzCurve) getDoublingPoints() [][3]fieldVal {
doublingPoints := make([][3]fieldVal, curve.BitSize)
// initialize px, py, pz to the Jacobian coordinates for the base point
px, py := curve.bigAffineToField(curve.Gx, curve.Gy)
pz := new(fieldVal).SetInt(1)
for i := 0; i < curve.BitSize; i++ {
doublingPoints[i] = [3]fieldVal{*px, *py, *pz}
// P = 2*P
curve.doubleJacobian(px, py, pz, px, py, pz)
}
return doublingPoints
}
// SerializedBytePoints returns a serialized byte slice which contains all of
// the possible points per 8-bit window. This is used to when generating
// secp256k1.go.
func (curve *KoblitzCurve) SerializedBytePoints() []byte {
doublingPoints := curve.getDoublingPoints()
// Segregate the bits into byte-sized windows
serialized := make([]byte, curve.byteSize*256*3*10*4)
offset := 0
for byteNum := 0; byteNum < curve.byteSize; byteNum++ {
// Grab the 8 bits that make up this byte from doublingPoints.
startingBit := 8 * (curve.byteSize - byteNum - 1)
computingPoints := doublingPoints[startingBit : startingBit+8]
// Compute all points in this window and serialize them.
for i := 0; i < 256; i++ {
px, py, pz := new(fieldVal), new(fieldVal), new(fieldVal)
for j := 0; j < 8; j++ {
if i>>uint(j)&1 == 1 {
curve.addJacobian(px, py, pz, &computingPoints[j][0],
&computingPoints[j][1], &computingPoints[j][2], px, py, pz)
}
}
for i := 0; i < 10; i++ {
binary.LittleEndian.PutUint32(serialized[offset:], px.n[i])
offset += 4
}
for i := 0; i < 10; i++ {
binary.LittleEndian.PutUint32(serialized[offset:], py.n[i])
offset += 4
}
for i := 0; i < 10; i++ {
binary.LittleEndian.PutUint32(serialized[offset:], pz.n[i])
offset += 4
}
}
}
return serialized
}
// sqrt returns the square root of the provided big integer using Newton's
// method. It's only compiled and used during generation of pre-computed
// values, so speed is not a huge concern.
func sqrt(n *big.Int) *big.Int {
// Initial guess = 2^(log_2(n)/2)
guess := big.NewInt(2)
guess.Exp(guess, big.NewInt(int64(n.BitLen()/2)), nil)
// Now refine using Newton's method.
big2 := big.NewInt(2)
prevGuess := big.NewInt(0)
for {
prevGuess.Set(guess)
guess.Add(guess, new(big.Int).Div(n, guess))
guess.Div(guess, big2)
if guess.Cmp(prevGuess) == 0 {
break
}
}
return guess
}
// EndomorphismVectors runs the first 3 steps of algorithm 3.74 from [GECC] to
// generate the linearly independent vectors needed to generate a balanced
// length-two representation of a multiplier such that k = k1 + k2λ (mod N) and
// returns them. Since the values will always be the same given the fact that N
// and λ are fixed, the final results can be accelerated by storing the
// precomputed values with the curve.
func (curve *KoblitzCurve) EndomorphismVectors() (a1, b1, a2, b2 *big.Int) {
bigMinus1 := big.NewInt(-1)
// This section uses an extended Euclidean algorithm to generate a
// sequence of equations:
// s[i] * N + t[i] * λ = r[i]
nSqrt := sqrt(curve.N)
u, v := new(big.Int).Set(curve.N), new(big.Int).Set(curve.lambda)
x1, y1 := big.NewInt(1), big.NewInt(0)
x2, y2 := big.NewInt(0), big.NewInt(1)
q, r := new(big.Int), new(big.Int)
qu, qx1, qy1 := new(big.Int), new(big.Int), new(big.Int)
s, t := new(big.Int), new(big.Int)
ri, ti := new(big.Int), new(big.Int)
a1, b1, a2, b2 = new(big.Int), new(big.Int), new(big.Int), new(big.Int)
found, oneMore := false, false
for u.Sign() != 0 {
// q = v/u
q.Div(v, u)
// r = v - q*u
qu.Mul(q, u)
r.Sub(v, qu)
// s = x2 - q*x1
qx1.Mul(q, x1)
s.Sub(x2, qx1)
// t = y2 - q*y1
qy1.Mul(q, y1)
t.Sub(y2, qy1)
// v = u, u = r, x2 = x1, x1 = s, y2 = y1, y1 = t
v.Set(u)
u.Set(r)
x2.Set(x1)
x1.Set(s)
y2.Set(y1)
y1.Set(t)
// As soon as the remainder is less than the sqrt of n, the
// values of a1 and b1 are known.
if !found && r.Cmp(nSqrt) < 0 {
// When this condition executes ri and ti represent the
// r[i] and t[i] values such that i is the greatest
// index for which r >= sqrt(n). Meanwhile, the current
// r and t values are r[i+1] and t[i+1], respectively.
// a1 = r[i+1], b1 = -t[i+1]
a1.Set(r)
b1.Mul(t, bigMinus1)
found = true
oneMore = true
// Skip to the next iteration so ri and ti are not
// modified.
continue
} else if oneMore {
// When this condition executes ri and ti still
// represent the r[i] and t[i] values while the current
// r and t are r[i+2] and t[i+2], respectively.
// sum1 = r[i]^2 + t[i]^2
rSquared := new(big.Int).Mul(ri, ri)
tSquared := new(big.Int).Mul(ti, ti)
sum1 := new(big.Int).Add(rSquared, tSquared)
// sum2 = r[i+2]^2 + t[i+2]^2
r2Squared := new(big.Int).Mul(r, r)
t2Squared := new(big.Int).Mul(t, t)
sum2 := new(big.Int).Add(r2Squared, t2Squared)
// if (r[i]^2 + t[i]^2) <= (r[i+2]^2 + t[i+2]^2)
if sum1.Cmp(sum2) <= 0 {
// a2 = r[i], b2 = -t[i]
a2.Set(ri)
b2.Mul(ti, bigMinus1)
} else {
// a2 = r[i+2], b2 = -t[i+2]
a2.Set(r)
b2.Mul(t, bigMinus1)
}
// All done.
break
}
ri.Set(r)
ti.Set(t)
}
return a1, b1, a2, b2
}

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// Copyright 2015 The btcsuite developers
// Use of this source code is governed by an ISC
// license that can be found in the LICENSE file.
package btcec
import (
"compress/zlib"
"encoding/base64"
"encoding/binary"
"io/ioutil"
"strings"
)
//go:generate go run -tags gensecp256k1 genprecomps.go
// loadS256BytePoints decompresses and deserializes the pre-computed byte points
// used to accelerate scalar base multiplication for the secp256k1 curve. This
// approach is used since it allows the compile to use significantly less ram
// and be performed much faster than it is with hard-coding the final in-memory
// data structure. At the same time, it is quite fast to generate the in-memory
// data structure at init time with this approach versus computing the table.
func loadS256BytePoints() error {
// There will be no byte points to load when generating them.
bp := secp256k1BytePoints
if len(bp) == 0 {
return nil
}
// Decompress the pre-computed table used to accelerate scalar base
// multiplication.
decoder := base64.NewDecoder(base64.StdEncoding, strings.NewReader(bp))
r, err := zlib.NewReader(decoder)
if err != nil {
return err
}
serialized, err := ioutil.ReadAll(r)
if err != nil {
return err
}
// Deserialize the precomputed byte points and set the curve to them.
offset := 0
var bytePoints [32][256][3]fieldVal
for byteNum := 0; byteNum < 32; byteNum++ {
// All points in this window.
for i := 0; i < 256; i++ {
px := &bytePoints[byteNum][i][0]
py := &bytePoints[byteNum][i][1]
pz := &bytePoints[byteNum][i][2]
for i := 0; i < 10; i++ {
px.n[i] = binary.LittleEndian.Uint32(serialized[offset:])
offset += 4
}
for i := 0; i < 10; i++ {
py.n[i] = binary.LittleEndian.Uint32(serialized[offset:])
offset += 4
}
for i := 0; i < 10; i++ {
pz.n[i] = binary.LittleEndian.Uint32(serialized[offset:])
offset += 4
}
}
}
secp256k1.bytePoints = &bytePoints
return nil
}

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// Copyright (c) 2013-2016 The btcsuite developers
// Use of this source code is governed by an ISC
// license that can be found in the LICENSE file.
package btcec
import (
"crypto/ecdsa"
"crypto/elliptic"
"crypto/rand"
"math/big"
)
// PrivateKey wraps an ecdsa.PrivateKey as a convenience mainly for signing
// things with the the private key without having to directly import the ecdsa
// package.
type PrivateKey ecdsa.PrivateKey
// PrivKeyFromBytes returns a private and public key for `curve' based on the
// private key passed as an argument as a byte slice.
func PrivKeyFromBytes(curve elliptic.Curve, pk []byte) (*PrivateKey,
*PublicKey) {
x, y := curve.ScalarBaseMult(pk)
priv := &ecdsa.PrivateKey{
PublicKey: ecdsa.PublicKey{
Curve: curve,
X: x,
Y: y,
},
D: new(big.Int).SetBytes(pk),
}
return (*PrivateKey)(priv), (*PublicKey)(&priv.PublicKey)
}
// NewPrivateKey is a wrapper for ecdsa.GenerateKey that returns a PrivateKey
// instead of the normal ecdsa.PrivateKey.
func NewPrivateKey(curve elliptic.Curve) (*PrivateKey, error) {
key, err := ecdsa.GenerateKey(curve, rand.Reader)
if err != nil {
return nil, err
}
return (*PrivateKey)(key), nil
}
// PubKey returns the PublicKey corresponding to this private key.
func (p *PrivateKey) PubKey() *PublicKey {
return (*PublicKey)(&p.PublicKey)
}
// ToECDSA returns the private key as a *ecdsa.PrivateKey.
func (p *PrivateKey) ToECDSA() *ecdsa.PrivateKey {
return (*ecdsa.PrivateKey)(p)
}
// Sign generates an ECDSA signature for the provided hash (which should be the result
// of hashing a larger message) using the private key. Produced signature
// is deterministic (same message and same key yield the same signature) and canonical
// in accordance with RFC6979 and BIP0062.
func (p *PrivateKey) Sign(hash []byte) (*Signature, error) {
return signRFC6979(p, hash)
}
// PrivKeyBytesLen defines the length in bytes of a serialized private key.
const PrivKeyBytesLen = 32
// Serialize returns the private key number d as a big-endian binary-encoded
// number, padded to a length of 32 bytes.
func (p *PrivateKey) Serialize() []byte {
b := make([]byte, 0, PrivKeyBytesLen)
return paddedAppend(PrivKeyBytesLen, b, p.ToECDSA().D.Bytes())
}

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// Copyright (c) 2013-2014 The btcsuite developers
// Use of this source code is governed by an ISC
// license that can be found in the LICENSE file.
package btcec
import (
"crypto/ecdsa"
"errors"
"fmt"
"math/big"
)
// These constants define the lengths of serialized public keys.
const (
PubKeyBytesLenCompressed = 33
PubKeyBytesLenUncompressed = 65
PubKeyBytesLenHybrid = 65
)
func isOdd(a *big.Int) bool {
return a.Bit(0) == 1
}
// decompressPoint decompresses a point on the given curve given the X point and
// the solution to use.
func decompressPoint(curve *KoblitzCurve, x *big.Int, ybit bool) (*big.Int, error) {
// TODO: This will probably only work for secp256k1 due to
// optimizations.
// Y = +-sqrt(x^3 + B)
x3 := new(big.Int).Mul(x, x)
x3.Mul(x3, x)
x3.Add(x3, curve.Params().B)
// now calculate sqrt mod p of x2 + B
// This code used to do a full sqrt based on tonelli/shanks,
// but this was replaced by the algorithms referenced in
// https://bitcointalk.org/index.php?topic=162805.msg1712294#msg1712294
y := new(big.Int).Exp(x3, curve.QPlus1Div4(), curve.Params().P)
if ybit != isOdd(y) {
y.Sub(curve.Params().P, y)
}
if ybit != isOdd(y) {
return nil, fmt.Errorf("ybit doesn't match oddness")
}
return y, nil
}
const (
pubkeyCompressed byte = 0x2 // y_bit + x coord
pubkeyUncompressed byte = 0x4 // x coord + y coord
pubkeyHybrid byte = 0x6 // y_bit + x coord + y coord
)
// ParsePubKey parses a public key for a koblitz curve from a bytestring into a
// ecdsa.Publickey, verifying that it is valid. It supports compressed,
// uncompressed and hybrid signature formats.
func ParsePubKey(pubKeyStr []byte, curve *KoblitzCurve) (key *PublicKey, err error) {
pubkey := PublicKey{}
pubkey.Curve = curve
if len(pubKeyStr) == 0 {
return nil, errors.New("pubkey string is empty")
}
format := pubKeyStr[0]
ybit := (format & 0x1) == 0x1
format &= ^byte(0x1)
switch len(pubKeyStr) {
case PubKeyBytesLenUncompressed:
if format != pubkeyUncompressed && format != pubkeyHybrid {
return nil, fmt.Errorf("invalid magic in pubkey str: "+
"%d", pubKeyStr[0])
}
pubkey.X = new(big.Int).SetBytes(pubKeyStr[1:33])
pubkey.Y = new(big.Int).SetBytes(pubKeyStr[33:])
// hybrid keys have extra information, make use of it.
if format == pubkeyHybrid && ybit != isOdd(pubkey.Y) {
return nil, fmt.Errorf("ybit doesn't match oddness")
}
case PubKeyBytesLenCompressed:
// format is 0x2 | solution, <X coordinate>
// solution determines which solution of the curve we use.
/// y^2 = x^3 + Curve.B
if format != pubkeyCompressed {
return nil, fmt.Errorf("invalid magic in compressed "+
"pubkey string: %d", pubKeyStr[0])
}
pubkey.X = new(big.Int).SetBytes(pubKeyStr[1:33])
pubkey.Y, err = decompressPoint(curve, pubkey.X, ybit)
if err != nil {
return nil, err
}
default: // wrong!
return nil, fmt.Errorf("invalid pub key length %d",
len(pubKeyStr))
}
if pubkey.X.Cmp(pubkey.Curve.Params().P) >= 0 {
return nil, fmt.Errorf("pubkey X parameter is >= to P")
}
if pubkey.Y.Cmp(pubkey.Curve.Params().P) >= 0 {
return nil, fmt.Errorf("pubkey Y parameter is >= to P")
}
if !pubkey.Curve.IsOnCurve(pubkey.X, pubkey.Y) {
return nil, fmt.Errorf("pubkey isn't on secp256k1 curve")
}
return &pubkey, nil
}
// PublicKey is an ecdsa.PublicKey with additional functions to
// serialize in uncompressed, compressed, and hybrid formats.
type PublicKey ecdsa.PublicKey
// ToECDSA returns the public key as a *ecdsa.PublicKey.
func (p *PublicKey) ToECDSA() *ecdsa.PublicKey {
return (*ecdsa.PublicKey)(p)
}
// SerializeUncompressed serializes a public key in a 65-byte uncompressed
// format.
func (p *PublicKey) SerializeUncompressed() []byte {
b := make([]byte, 0, PubKeyBytesLenUncompressed)
b = append(b, pubkeyUncompressed)
b = paddedAppend(32, b, p.X.Bytes())
return paddedAppend(32, b, p.Y.Bytes())
}
// SerializeCompressed serializes a public key in a 33-byte compressed format.
func (p *PublicKey) SerializeCompressed() []byte {
b := make([]byte, 0, PubKeyBytesLenCompressed)
format := pubkeyCompressed
if isOdd(p.Y) {
format |= 0x1
}
b = append(b, format)
return paddedAppend(32, b, p.X.Bytes())
}
// SerializeHybrid serializes a public key in a 65-byte hybrid format.
func (p *PublicKey) SerializeHybrid() []byte {
b := make([]byte, 0, PubKeyBytesLenHybrid)
format := pubkeyHybrid
if isOdd(p.Y) {
format |= 0x1
}
b = append(b, format)
b = paddedAppend(32, b, p.X.Bytes())
return paddedAppend(32, b, p.Y.Bytes())
}
// IsEqual compares this PublicKey instance to the one passed, returning true if
// both PublicKeys are equivalent. A PublicKey is equivalent to another, if they
// both have the same X and Y coordinate.
func (p *PublicKey) IsEqual(otherPubKey *PublicKey) bool {
return p.X.Cmp(otherPubKey.X) == 0 &&
p.Y.Cmp(otherPubKey.Y) == 0
}
// paddedAppend appends the src byte slice to dst, returning the new slice.
// If the length of the source is smaller than the passed size, leading zero
// bytes are appended to the dst slice before appending src.
func paddedAppend(size uint, dst, src []byte) []byte {
for i := 0; i < int(size)-len(src); i++ {
dst = append(dst, 0)
}
return append(dst, src...)
}

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// Copyright (c) 2013-2017 The btcsuite developers
// Use of this source code is governed by an ISC
// license that can be found in the LICENSE file.
package btcec
import (
"bytes"
"crypto/ecdsa"
"crypto/elliptic"
"crypto/hmac"
"crypto/sha256"
"errors"
"fmt"
"hash"
"math/big"
)
// Errors returned by canonicalPadding.
var (
errNegativeValue = errors.New("value may be interpreted as negative")
errExcessivelyPaddedValue = errors.New("value is excessively padded")
)
// Signature is a type representing an ecdsa signature.
type Signature struct {
R *big.Int
S *big.Int
}
var (
// Curve order and halforder, used to tame ECDSA malleability (see BIP-0062)
order = new(big.Int).Set(S256().N)
halforder = new(big.Int).Rsh(order, 1)
// Used in RFC6979 implementation when testing the nonce for correctness
one = big.NewInt(1)
// oneInitializer is used to fill a byte slice with byte 0x01. It is provided
// here to avoid the need to create it multiple times.
oneInitializer = []byte{0x01}
)
// Serialize returns the ECDSA signature in the more strict DER format. Note
// that the serialized bytes returned do not include the appended hash type
// used in Bitcoin signature scripts.
//
// encoding/asn1 is broken so we hand roll this output:
//
// 0x30 <length> 0x02 <length r> r 0x02 <length s> s
func (sig *Signature) Serialize() []byte {
// low 'S' malleability breaker
sigS := sig.S
if sigS.Cmp(halforder) == 1 {
sigS = new(big.Int).Sub(order, sigS)
}
// Ensure the encoded bytes for the r and s values are canonical and
// thus suitable for DER encoding.
rb := canonicalizeInt(sig.R)
sb := canonicalizeInt(sigS)
// total length of returned signature is 1 byte for each magic and
// length (6 total), plus lengths of r and s
length := 6 + len(rb) + len(sb)
b := make([]byte, length, length)
b[0] = 0x30
b[1] = byte(length - 2)
b[2] = 0x02
b[3] = byte(len(rb))
offset := copy(b[4:], rb) + 4
b[offset] = 0x02
b[offset+1] = byte(len(sb))
copy(b[offset+2:], sb)
return b
}
// Verify calls ecdsa.Verify to verify the signature of hash using the public
// key. It returns true if the signature is valid, false otherwise.
func (sig *Signature) Verify(hash []byte, pubKey *PublicKey) bool {
return ecdsa.Verify(pubKey.ToECDSA(), hash, sig.R, sig.S)
}
// IsEqual compares this Signature instance to the one passed, returning true
// if both Signatures are equivalent. A signature is equivalent to another, if
// they both have the same scalar value for R and S.
func (sig *Signature) IsEqual(otherSig *Signature) bool {
return sig.R.Cmp(otherSig.R) == 0 &&
sig.S.Cmp(otherSig.S) == 0
}
func parseSig(sigStr []byte, curve elliptic.Curve, der bool) (*Signature, error) {
// Originally this code used encoding/asn1 in order to parse the
// signature, but a number of problems were found with this approach.
// Despite the fact that signatures are stored as DER, the difference
// between go's idea of a bignum (and that they have sign) doesn't agree
// with the openssl one (where they do not). The above is true as of
// Go 1.1. In the end it was simpler to rewrite the code to explicitly
// understand the format which is this:
// 0x30 <length of whole message> <0x02> <length of R> <R> 0x2
// <length of S> <S>.
signature := &Signature{}
// minimal message is when both numbers are 1 bytes. adding up to:
// 0x30 + len + 0x02 + 0x01 + <byte> + 0x2 + 0x01 + <byte>
if len(sigStr) < 8 {
return nil, errors.New("malformed signature: too short")
}
// 0x30
index := 0
if sigStr[index] != 0x30 {
return nil, errors.New("malformed signature: no header magic")
}
index++
// length of remaining message
siglen := sigStr[index]
index++
if int(siglen+2) > len(sigStr) {
return nil, errors.New("malformed signature: bad length")
}
// trim the slice we're working on so we only look at what matters.
sigStr = sigStr[:siglen+2]
// 0x02
if sigStr[index] != 0x02 {
return nil,
errors.New("malformed signature: no 1st int marker")
}
index++
// Length of signature R.
rLen := int(sigStr[index])
// must be positive, must be able to fit in another 0x2, <len> <s>
// hence the -3. We assume that the length must be at least one byte.
index++
if rLen <= 0 || rLen > len(sigStr)-index-3 {
return nil, errors.New("malformed signature: bogus R length")
}
// Then R itself.
rBytes := sigStr[index : index+rLen]
if der {
switch err := canonicalPadding(rBytes); err {
case errNegativeValue:
return nil, errors.New("signature R is negative")
case errExcessivelyPaddedValue:
return nil, errors.New("signature R is excessively padded")
}
}
signature.R = new(big.Int).SetBytes(rBytes)
index += rLen
// 0x02. length already checked in previous if.
if sigStr[index] != 0x02 {
return nil, errors.New("malformed signature: no 2nd int marker")
}
index++
// Length of signature S.
sLen := int(sigStr[index])
index++
// S should be the rest of the string.
if sLen <= 0 || sLen > len(sigStr)-index {
return nil, errors.New("malformed signature: bogus S length")
}
// Then S itself.
sBytes := sigStr[index : index+sLen]
if der {
switch err := canonicalPadding(sBytes); err {
case errNegativeValue:
return nil, errors.New("signature S is negative")
case errExcessivelyPaddedValue:
return nil, errors.New("signature S is excessively padded")
}
}
signature.S = new(big.Int).SetBytes(sBytes)
index += sLen
// sanity check length parsing
if index != len(sigStr) {
return nil, fmt.Errorf("malformed signature: bad final length %v != %v",
index, len(sigStr))
}
// Verify also checks this, but we can be more sure that we parsed
// correctly if we verify here too.
// FWIW the ecdsa spec states that R and S must be | 1, N - 1 |
// but crypto/ecdsa only checks for Sign != 0. Mirror that.
if signature.R.Sign() != 1 {
return nil, errors.New("signature R isn't 1 or more")
}
if signature.S.Sign() != 1 {
return nil, errors.New("signature S isn't 1 or more")
}
if signature.R.Cmp(curve.Params().N) >= 0 {
return nil, errors.New("signature R is >= curve.N")
}
if signature.S.Cmp(curve.Params().N) >= 0 {
return nil, errors.New("signature S is >= curve.N")
}
return signature, nil
}
// ParseSignature parses a signature in BER format for the curve type `curve'
// into a Signature type, perfoming some basic sanity checks. If parsing
// according to the more strict DER format is needed, use ParseDERSignature.
func ParseSignature(sigStr []byte, curve elliptic.Curve) (*Signature, error) {
return parseSig(sigStr, curve, false)
}
// ParseDERSignature parses a signature in DER format for the curve type
// `curve` into a Signature type. If parsing according to the less strict
// BER format is needed, use ParseSignature.
func ParseDERSignature(sigStr []byte, curve elliptic.Curve) (*Signature, error) {
return parseSig(sigStr, curve, true)
}
// canonicalizeInt returns the bytes for the passed big integer adjusted as
// necessary to ensure that a big-endian encoded integer can't possibly be
// misinterpreted as a negative number. This can happen when the most
// significant bit is set, so it is padded by a leading zero byte in this case.
// Also, the returned bytes will have at least a single byte when the passed
// value is 0. This is required for DER encoding.
func canonicalizeInt(val *big.Int) []byte {
b := val.Bytes()
if len(b) == 0 {
b = []byte{0x00}
}
if b[0]&0x80 != 0 {
paddedBytes := make([]byte, len(b)+1)
copy(paddedBytes[1:], b)
b = paddedBytes
}
return b
}
// canonicalPadding checks whether a big-endian encoded integer could
// possibly be misinterpreted as a negative number (even though OpenSSL
// treats all numbers as unsigned), or if there is any unnecessary
// leading zero padding.
func canonicalPadding(b []byte) error {
switch {
case b[0]&0x80 == 0x80:
return errNegativeValue
case len(b) > 1 && b[0] == 0x00 && b[1]&0x80 != 0x80:
return errExcessivelyPaddedValue
default:
return nil
}
}
// hashToInt converts a hash value to an integer. There is some disagreement
// about how this is done. [NSA] suggests that this is done in the obvious
// manner, but [SECG] truncates the hash to the bit-length of the curve order
// first. We follow [SECG] because that's what OpenSSL does. Additionally,
// OpenSSL right shifts excess bits from the number if the hash is too large
// and we mirror that too.
// This is borrowed from crypto/ecdsa.
func hashToInt(hash []byte, c elliptic.Curve) *big.Int {
orderBits := c.Params().N.BitLen()
orderBytes := (orderBits + 7) / 8
if len(hash) > orderBytes {
hash = hash[:orderBytes]
}
ret := new(big.Int).SetBytes(hash)
excess := len(hash)*8 - orderBits
if excess > 0 {
ret.Rsh(ret, uint(excess))
}
return ret
}
// recoverKeyFromSignature recoves a public key from the signature "sig" on the
// given message hash "msg". Based on the algorithm found in section 5.1.5 of
// SEC 1 Ver 2.0, page 47-48 (53 and 54 in the pdf). This performs the details
// in the inner loop in Step 1. The counter provided is actually the j parameter
// of the loop * 2 - on the first iteration of j we do the R case, else the -R
// case in step 1.6. This counter is used in the bitcoin compressed signature
// format and thus we match bitcoind's behaviour here.
func recoverKeyFromSignature(curve *KoblitzCurve, sig *Signature, msg []byte,
iter int, doChecks bool) (*PublicKey, error) {
// 1.1 x = (n * i) + r
Rx := new(big.Int).Mul(curve.Params().N,
new(big.Int).SetInt64(int64(iter/2)))
Rx.Add(Rx, sig.R)
if Rx.Cmp(curve.Params().P) != -1 {
return nil, errors.New("calculated Rx is larger than curve P")
}
// convert 02<Rx> to point R. (step 1.2 and 1.3). If we are on an odd
// iteration then 1.6 will be done with -R, so we calculate the other
// term when uncompressing the point.
Ry, err := decompressPoint(curve, Rx, iter%2 == 1)
if err != nil {
return nil, err
}
// 1.4 Check n*R is point at infinity
if doChecks {
nRx, nRy := curve.ScalarMult(Rx, Ry, curve.Params().N.Bytes())
if nRx.Sign() != 0 || nRy.Sign() != 0 {
return nil, errors.New("n*R does not equal the point at infinity")
}
}
// 1.5 calculate e from message using the same algorithm as ecdsa
// signature calculation.
e := hashToInt(msg, curve)
// Step 1.6.1:
// We calculate the two terms sR and eG separately multiplied by the
// inverse of r (from the signature). We then add them to calculate
// Q = r^-1(sR-eG)
invr := new(big.Int).ModInverse(sig.R, curve.Params().N)
// first term.
invrS := new(big.Int).Mul(invr, sig.S)
invrS.Mod(invrS, curve.Params().N)
sRx, sRy := curve.ScalarMult(Rx, Ry, invrS.Bytes())
// second term.
e.Neg(e)
e.Mod(e, curve.Params().N)
e.Mul(e, invr)
e.Mod(e, curve.Params().N)
minuseGx, minuseGy := curve.ScalarBaseMult(e.Bytes())
// TODO: this would be faster if we did a mult and add in one
// step to prevent the jacobian conversion back and forth.
Qx, Qy := curve.Add(sRx, sRy, minuseGx, minuseGy)
return &PublicKey{
Curve: curve,
X: Qx,
Y: Qy,
}, nil
}
// SignCompact produces a compact signature of the data in hash with the given
// private key on the given koblitz curve. The isCompressed parameter should
// be used to detail if the given signature should reference a compressed
// public key or not. If successful the bytes of the compact signature will be
// returned in the format:
// <(byte of 27+public key solution)+4 if compressed >< padded bytes for signature R><padded bytes for signature S>
// where the R and S parameters are padde up to the bitlengh of the curve.
func SignCompact(curve *KoblitzCurve, key *PrivateKey,
hash []byte, isCompressedKey bool) ([]byte, error) {
sig, err := key.Sign(hash)
if err != nil {
return nil, err
}
// bitcoind checks the bit length of R and S here. The ecdsa signature
// algorithm returns R and S mod N therefore they will be the bitsize of
// the curve, and thus correctly sized.
for i := 0; i < (curve.H+1)*2; i++ {
pk, err := recoverKeyFromSignature(curve, sig, hash, i, true)
if err == nil && pk.X.Cmp(key.X) == 0 && pk.Y.Cmp(key.Y) == 0 {
result := make([]byte, 1, 2*curve.byteSize+1)
result[0] = 27 + byte(i)
if isCompressedKey {
result[0] += 4
}
// Not sure this needs rounding but safer to do so.
curvelen := (curve.BitSize + 7) / 8
// Pad R and S to curvelen if needed.
bytelen := (sig.R.BitLen() + 7) / 8
if bytelen < curvelen {
result = append(result,
make([]byte, curvelen-bytelen)...)
}
result = append(result, sig.R.Bytes()...)
bytelen = (sig.S.BitLen() + 7) / 8
if bytelen < curvelen {
result = append(result,
make([]byte, curvelen-bytelen)...)
}
result = append(result, sig.S.Bytes()...)
return result, nil
}
}
return nil, errors.New("no valid solution for pubkey found")
}
// RecoverCompact verifies the compact signature "signature" of "hash" for the
// Koblitz curve in "curve". If the signature matches then the recovered public
// key will be returned as well as a boolen if the original key was compressed
// or not, else an error will be returned.
func RecoverCompact(curve *KoblitzCurve, signature,
hash []byte) (*PublicKey, bool, error) {
bitlen := (curve.BitSize + 7) / 8
if len(signature) != 1+bitlen*2 {
return nil, false, errors.New("invalid compact signature size")
}
iteration := int((signature[0] - 27) & ^byte(4))
// format is <header byte><bitlen R><bitlen S>
sig := &Signature{
R: new(big.Int).SetBytes(signature[1 : bitlen+1]),
S: new(big.Int).SetBytes(signature[bitlen+1:]),
}
// The iteration used here was encoded
key, err := recoverKeyFromSignature(curve, sig, hash, iteration, false)
if err != nil {
return nil, false, err
}
return key, ((signature[0] - 27) & 4) == 4, nil
}
// signRFC6979 generates a deterministic ECDSA signature according to RFC 6979 and BIP 62.
func signRFC6979(privateKey *PrivateKey, hash []byte) (*Signature, error) {
privkey := privateKey.ToECDSA()
N := order
k := nonceRFC6979(privkey.D, hash)
inv := new(big.Int).ModInverse(k, N)
r, _ := privkey.Curve.ScalarBaseMult(k.Bytes())
if r.Cmp(N) == 1 {
r.Sub(r, N)
}
if r.Sign() == 0 {
return nil, errors.New("calculated R is zero")
}
e := hashToInt(hash, privkey.Curve)
s := new(big.Int).Mul(privkey.D, r)
s.Add(s, e)
s.Mul(s, inv)
s.Mod(s, N)
if s.Cmp(halforder) == 1 {
s.Sub(N, s)
}
if s.Sign() == 0 {
return nil, errors.New("calculated S is zero")
}
return &Signature{R: r, S: s}, nil
}
// nonceRFC6979 generates an ECDSA nonce (`k`) deterministically according to RFC 6979.
// It takes a 32-byte hash as an input and returns 32-byte nonce to be used in ECDSA algorithm.
func nonceRFC6979(privkey *big.Int, hash []byte) *big.Int {
curve := S256()
q := curve.Params().N
x := privkey
alg := sha256.New
qlen := q.BitLen()
holen := alg().Size()
rolen := (qlen + 7) >> 3
bx := append(int2octets(x, rolen), bits2octets(hash, curve, rolen)...)
// Step B
v := bytes.Repeat(oneInitializer, holen)
// Step C (Go zeroes the all allocated memory)
k := make([]byte, holen)
// Step D
k = mac(alg, k, append(append(v, 0x00), bx...))
// Step E
v = mac(alg, k, v)
// Step F
k = mac(alg, k, append(append(v, 0x01), bx...))
// Step G
v = mac(alg, k, v)
// Step H
for {
// Step H1
var t []byte
// Step H2
for len(t)*8 < qlen {
v = mac(alg, k, v)
t = append(t, v...)
}
// Step H3
secret := hashToInt(t, curve)
if secret.Cmp(one) >= 0 && secret.Cmp(q) < 0 {
return secret
}
k = mac(alg, k, append(v, 0x00))
v = mac(alg, k, v)
}
}
// mac returns an HMAC of the given key and message.
func mac(alg func() hash.Hash, k, m []byte) []byte {
h := hmac.New(alg, k)
h.Write(m)
return h.Sum(nil)
}
// https://tools.ietf.org/html/rfc6979#section-2.3.3
func int2octets(v *big.Int, rolen int) []byte {
out := v.Bytes()
// left pad with zeros if it's too short
if len(out) < rolen {
out2 := make([]byte, rolen)
copy(out2[rolen-len(out):], out)
return out2
}
// drop most significant bytes if it's too long
if len(out) > rolen {
out2 := make([]byte, rolen)
copy(out2, out[len(out)-rolen:])
return out2
}
return out
}
// https://tools.ietf.org/html/rfc6979#section-2.3.4
func bits2octets(in []byte, curve elliptic.Curve, rolen int) []byte {
z1 := hashToInt(in, curve)
z2 := new(big.Int).Sub(z1, curve.Params().N)
if z2.Sign() < 0 {
return int2octets(z1, rolen)
}
return int2octets(z2, rolen)
}

6
vendor/vendor.json vendored
View File

@ -16,6 +16,12 @@
"revision": "ea17b1a17847fb6e4c0a91de0b674704693469b0",
"revisionTime": "2017-02-10T01:56:32Z"
},
{
"checksumSHA1": "fIpm6Vr5a8kgr22gWkQx7vKUTyU=",
"path": "github.com/btcsuite/btcd/btcec",
"revision": "d06c0bb181529331be8f8d9350288c420d9e60e4",
"revisionTime": "2017-02-01T21:25:25Z"
},
{
"checksumSHA1": "cDMtzKmdTx4CcIpP4broa+16X9g=",
"path": "github.com/cespare/cp",

6
whisper/whisperv2/message.go
View File

@ -21,11 +21,13 @@ package whisperv2
import (
"crypto/ecdsa"
crand "crypto/rand"
"math/rand"
"time"
"github.com/ethereum/go-ethereum/common"
"github.com/ethereum/go-ethereum/crypto"
"github.com/ethereum/go-ethereum/crypto/ecies"
"github.com/ethereum/go-ethereum/logger"
"github.com/ethereum/go-ethereum/logger/glog"
)
@ -131,13 +133,13 @@ func (self *Message) Recover() *ecdsa.PublicKey {
// encrypt encrypts a message payload with a public key.
func (self *Message) encrypt(key *ecdsa.PublicKey) (err error) {
self.Payload, err = crypto.Encrypt(key, self.Payload)
self.Payload, err = ecies.Encrypt(crand.Reader, ecies.ImportECDSAPublic(key), self.Payload, nil, nil)
return
}
// decrypt decrypts an encrypted payload with a private key.
func (self *Message) decrypt(key *ecdsa.PrivateKey) error {
cleartext, err := crypto.Decrypt(key, self.Payload)
cleartext, err := ecies.ImportECDSA(key).Decrypt(crand.Reader, self.Payload, nil, nil)
if err == nil {
self.Payload = cleartext
}

9
whisper/whisperv2/message_test.go
View File

@ -23,7 +23,6 @@ import (
"time"
"github.com/ethereum/go-ethereum/crypto"
"github.com/ethereum/go-ethereum/crypto/secp256k1"
)
// Tests whether a message can be wrapped without any identity or encryption.
@ -73,8 +72,8 @@ func TestMessageCleartextSignRecover(t *testing.T) {
if pubKey == nil {
t.Fatalf("failed to recover public key")
}
p1 := elliptic.Marshal(secp256k1.S256(), key.PublicKey.X, key.PublicKey.Y)
p2 := elliptic.Marshal(secp256k1.S256(), pubKey.X, pubKey.Y)
p1 := elliptic.Marshal(crypto.S256(), key.PublicKey.X, key.PublicKey.Y)
p2 := elliptic.Marshal(crypto.S256(), pubKey.X, pubKey.Y)
if !bytes.Equal(p1, p2) {
t.Fatalf("public key mismatch: have 0x%x, want 0x%x", p2, p1)
}
@ -151,8 +150,8 @@ func TestMessageFullCrypto(t *testing.T) {
if pubKey == nil {
t.Fatalf("failed to recover public key")
}
p1 := elliptic.Marshal(secp256k1.S256(), fromKey.PublicKey.X, fromKey.PublicKey.Y)
p2 := elliptic.Marshal(secp256k1.S256(), pubKey.X, pubKey.Y)
p1 := elliptic.Marshal(crypto.S256(), fromKey.PublicKey.X, fromKey.PublicKey.Y)
p2 := elliptic.Marshal(crypto.S256(), pubKey.X, pubKey.Y)
if !bytes.Equal(p1, p2) {
t.Fatalf("public key mismatch: have 0x%x, want 0x%x", p2, p1)
}

5
whisper/whisperv5/message.go
View File

@ -30,6 +30,7 @@ import (
"github.com/ethereum/go-ethereum/common"
"github.com/ethereum/go-ethereum/crypto"
"github.com/ethereum/go-ethereum/crypto/ecies"
"github.com/ethereum/go-ethereum/logger"
"github.com/ethereum/go-ethereum/logger/glog"
"golang.org/x/crypto/pbkdf2"
@ -163,7 +164,7 @@ func (msg *SentMessage) encryptAsymmetric(key *ecdsa.PublicKey) error {
if !ValidatePublicKey(key) {
return fmt.Errorf("Invalid public key provided for asymmetric encryption")
}
encrypted, err := crypto.Encrypt(key, msg.Raw)
encrypted, err := ecies.Encrypt(crand.Reader, ecies.ImportECDSAPublic(key), msg.Raw, nil, nil)
if err == nil {
msg.Raw = encrypted
}
@ -293,7 +294,7 @@ func (msg *ReceivedMessage) decryptSymmetric(key []byte, salt []byte, nonce []by
// decryptAsymmetric decrypts an encrypted payload with a private key.
func (msg *ReceivedMessage) decryptAsymmetric(key *ecdsa.PrivateKey) error {
decrypted, err := crypto.Decrypt(key, msg.Raw)
decrypted, err := ecies.ImportECDSA(key).Decrypt(crand.Reader, msg.Raw, nil, nil)
if err == nil {
msg.Raw = decrypted
}