// 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/>.

package types

import (
	"crypto/ecdsa"
	"errors"
	"fmt"
	"math/big"

	"github.com/celo-org/celo-blockchain/common"
	"github.com/celo-org/celo-blockchain/crypto"
	"github.com/celo-org/celo-blockchain/params"
)

var ErrInvalidChainId = errors.New("invalid chain id for signer")

// sigCache is used to cache the derived sender and contains
// the signer used to derive it.
type sigCache struct {
	signer Signer
	from   common.Address
}

// MakeSigner returns a Signer based on the given chain config and block number.
func MakeSigner(config *params.ChainConfig, blockNumber *big.Int) Signer {
	var signer Signer
	switch {
	case config.IsGingerbreadP2(blockNumber):
		signer = NewGingerbreadSigner(config.ChainID)
	case config.IsEspresso(blockNumber):
		signer = NewLondonSigner(config.ChainID)
	case config.IsEIP155(blockNumber):
		signer = NewEIP155Signer(config.ChainID)
	case config.IsHomestead(blockNumber):
		signer = HomesteadSigner{}
	default:
		signer = FrontierSigner{}
	}
	return signer
}

// LatestSigner returns the 'most permissive' Signer available for the given chain
// configuration. Specifically, this enables support of EIP-155 replay protection and
// EIP-2930 access list transactions when their respective forks are scheduled to occur at
// any block number in the chain config.
//
// Use this in transaction-handling code where the current block number is unknown. If you
// have the current block number available, use MakeSigner instead.
func LatestSigner(config *params.ChainConfig) Signer {
	if config.ChainID != nil {
		if config.GingerbreadP2Block != nil {
			return NewGingerbreadSigner(config.ChainID)
		}
		if config.EspressoBlock != nil {
			return NewLondonSigner(config.ChainID)
		}
		if config.EIP155Block != nil {
			return NewEIP155Signer(config.ChainID)
		}
	}
	return HomesteadSigner{}
}

// LatestSignerForChainID returns the 'most permissive' Signer available. Specifically,
// this enables support for EIP-155 replay protection and all implemented EIP-2718
// transaction types if chainID is non-nil.
//
// Use this in transaction-handling code where the current block number and fork
// configuration are unknown. If you have a ChainConfig, use LatestSigner instead.
// If you have a ChainConfig and know the current block number, use MakeSigner instead.
func LatestSignerForChainID(chainID *big.Int) Signer {
	if chainID == nil {
		return HomesteadSigner{}
	}
	return NewGingerbreadSigner(chainID)
}

// SignTx signs the transaction using the given signer and private key.
func SignTx(tx *Transaction, s Signer, prv *ecdsa.PrivateKey) (*Transaction, error) {
	h := s.Hash(tx)
	sig, err := crypto.Sign(h[:], prv)
	if err != nil {
		return nil, err
	}
	return tx.WithSignature(s, sig)
}

// SignNewTx creates a transaction and signs it.
func SignNewTx(prv *ecdsa.PrivateKey, s Signer, txdata TxData) (*Transaction, error) {
	tx := NewTx(txdata)
	h := s.Hash(tx)
	sig, err := crypto.Sign(h[:], prv)
	if err != nil {
		return nil, err
	}
	return tx.WithSignature(s, sig)
}

// MustSignNewTx creates a transaction and signs it.
// This panics if the transaction cannot be signed.
func MustSignNewTx(prv *ecdsa.PrivateKey, s Signer, txdata TxData) *Transaction {
	tx, err := SignNewTx(prv, s, txdata)
	if err != nil {
		panic(err)
	}
	return tx
}

// Sender returns the address derived from the signature (V, R, S) using secp256k1
// elliptic curve and an error if it failed deriving or upon an incorrect
// signature.
//
// Sender may cache the address, allowing it to be used regardless of
// signing method. The cache is invalidated if the cached signer does
// not match the signer used in the current call.
func Sender(signer Signer, tx *Transaction) (common.Address, error) {
	if sc := tx.from.Load(); sc != nil {
		sigCache := sc.(sigCache)
		// If the signer used to derive from in a previous
		// call is not the same as used current, invalidate
		// the cache.
		if sigCache.signer.Equal(signer) {
			return sigCache.from, nil
		}
	}

	addr, err := signer.Sender(tx)
	if err != nil {
		return common.Address{}, err
	}
	tx.from.Store(sigCache{signer: signer, from: addr})
	return addr, nil
}

// Signer encapsulates transaction signature handling. The name of this type is slightly
// misleading because Signers don't actually sign, they're just for validating and
// processing of signatures.
//
// Note that this interface is not a stable API and may change at any time to accommodate
// new protocol rules.
type Signer interface {
	// Sender returns the sender address of the transaction.
	Sender(tx *Transaction) (common.Address, error)

	// SignatureValues returns the raw R, S, V values corresponding to the
	// given signature.
	SignatureValues(tx *Transaction, sig []byte) (r, s, v *big.Int, err error)
	ChainID() *big.Int

	// Hash returns 'signature hash', i.e. the transaction hash that is signed by the
	// private key. This hash does not uniquely identify the transaction.
	Hash(tx *Transaction) common.Hash

	// Equal returns true if the given signer is the same as the receiver.
	Equal(Signer) bool
}

type hforkSigner struct{ gingerbreadSigner }

// NewHForkSigner returns a signer that accepts
// - CIP-66 celo denominated fee transactions
// - CIP-64 celo dynamic fee transactions v2
// - CIP-42 celo dynamic fee transactions
// - EIP-1559 dynamic fee transactions
// - EIP-2930 access list transactions,
// - EIP-155 replay protected transactions, and
// - legacy Homestead transactions.
func NewHForkSigner(chainId *big.Int) Signer {
	return hforkSigner{gingerbreadSigner{londonSigner{eip2930Signer{NewEIP155Signer(chainId)}}}}
}

func (s hforkSigner) Sender(tx *Transaction) (common.Address, error) {
	if tx.Type() != CeloDenominatedTxType {
		return s.gingerbreadSigner.Sender(tx)
	}
	V, R, S := tx.RawSignatureValues()
	// DynamicFee txs are defined to use 0 and 1 as their recovery
	// id, add 27 to become equivalent to unprotected Homestead signatures.
	V = new(big.Int).Add(V, big.NewInt(27))
	if tx.ChainId().Cmp(s.chainId) != 0 {
		return common.Address{}, ErrInvalidChainId
	}
	return recoverPlain(s.Hash(tx), R, S, V, true)
}

func (s hforkSigner) Equal(s2 Signer) bool {
	x, ok := s2.(hforkSigner)
	return ok && x.chainId.Cmp(s.chainId) == 0
}

func (s hforkSigner) SignatureValues(tx *Transaction, sig []byte) (R, S, V *big.Int, err error) {
	txdata, ok := tx.inner.(*CeloDenominatedTx)
	if !ok {
		return s.gingerbreadSigner.SignatureValues(tx, sig)
	}
	// Check that chain ID of tx matches the signer. We also accept ID zero here,
	// because it indicates that the chain ID was not specified in the tx.
	if txdata.ChainID.Sign() != 0 && txdata.ChainID.Cmp(s.chainId) != 0 {
		return nil, nil, nil, ErrInvalidChainId
	}
	R, S, _ = decodeSignature(sig)
	V = big.NewInt(int64(sig[64]))
	return R, S, V, nil
}

// Hash returns the hash to be signed by the sender.
// It does not uniquely identify the transaction.
func (s hforkSigner) Hash(tx *Transaction) common.Hash {
	if tx.Type() == CeloDenominatedTxType {
		return prefixedRlpHash(
			tx.Type(),
			[]interface{}{
				s.chainId,
				tx.Nonce(),
				tx.GasTipCap(),
				tx.GasFeeCap(),
				tx.Gas(),
				tx.To(),
				tx.Value(),
				tx.Data(),
				tx.AccessList(),
				tx.FeeCurrency(),
				tx.MaxFeeInFeeCurrency(),
			})
	}
	return s.gingerbreadSigner.Hash(tx)

}

type gingerbreadSigner struct{ londonSigner }

// NewGingerbreadSigner returns a signer that accepts
// - CIP-XX celo dynamic fee transactions v2
// - CIP-42 celo dynamic fee transactions
// - EIP-1559 dynamic fee transactions
// - EIP-2930 access list transactions,
// - EIP-155 replay protected transactions, and
// - legacy Homestead transactions.
func NewGingerbreadSigner(chainId *big.Int) Signer {
	return gingerbreadSigner{londonSigner{eip2930Signer{NewEIP155Signer(chainId)}}}
}

func (s gingerbreadSigner) Sender(tx *Transaction) (common.Address, error) {
	if tx.Type() != CeloDynamicFeeTxV2Type {
		return s.londonSigner.Sender(tx)
	}
	V, R, S := tx.RawSignatureValues()
	// DynamicFee txs are defined to use 0 and 1 as their recovery
	// id, add 27 to become equivalent to unprotected Homestead signatures.
	V = new(big.Int).Add(V, big.NewInt(27))
	if tx.ChainId().Cmp(s.chainId) != 0 {
		return common.Address{}, ErrInvalidChainId
	}
	return recoverPlain(s.Hash(tx), R, S, V, true)
}

func (s gingerbreadSigner) Equal(s2 Signer) bool {
	x, ok := s2.(gingerbreadSigner)
	return ok && x.chainId.Cmp(s.chainId) == 0
}

func (s gingerbreadSigner) SignatureValues(tx *Transaction, sig []byte) (R, S, V *big.Int, err error) {
	txdata, ok := tx.inner.(*CeloDynamicFeeTxV2)
	if !ok {
		return s.londonSigner.SignatureValues(tx, sig)
	}
	// Check that chain ID of tx matches the signer. We also accept ID zero here,
	// because it indicates that the chain ID was not specified in the tx.
	if txdata.ChainID.Sign() != 0 && txdata.ChainID.Cmp(s.chainId) != 0 {
		return nil, nil, nil, ErrInvalidChainId
	}
	R, S, _ = decodeSignature(sig)
	V = big.NewInt(int64(sig[64]))
	return R, S, V, nil
}

// Hash returns the hash to be signed by the sender.
// It does not uniquely identify the transaction.
func (s gingerbreadSigner) Hash(tx *Transaction) common.Hash {
	if tx.Type() == CeloDynamicFeeTxV2Type {
		return prefixedRlpHash(
			tx.Type(),
			[]interface{}{
				s.chainId,
				tx.Nonce(),
				tx.GasTipCap(),
				tx.GasFeeCap(),
				tx.Gas(),
				tx.To(),
				tx.Value(),
				tx.Data(),
				tx.AccessList(),
				tx.FeeCurrency(),
			})
	}
	return s.londonSigner.Hash(tx)

}

type londonSigner struct{ eip2930Signer }

// NewLondonSigner returns a signer that accepts
// - EIP-1559 dynamic fee transactions
// - EIP-2930 access list transactions,
// - EIP-155 replay protected transactions, and
// - legacy Homestead transactions.
func NewLondonSigner(chainId *big.Int) Signer {
	return londonSigner{eip2930Signer{NewEIP155Signer(chainId)}}
}

func (s londonSigner) Sender(tx *Transaction) (common.Address, error) {
	if !(tx.Type() == DynamicFeeTxType || tx.Type() == CeloDynamicFeeTxType) {
		return s.eip2930Signer.Sender(tx)
	}
	V, R, S := tx.RawSignatureValues()
	// DynamicFee txs are defined to use 0 and 1 as their recovery
	// id, add 27 to become equivalent to unprotected Homestead signatures.
	V = new(big.Int).Add(V, big.NewInt(27))
	if tx.ChainId().Cmp(s.chainId) != 0 {
		return common.Address{}, ErrInvalidChainId
	}
	return recoverPlain(s.Hash(tx), R, S, V, true)
}

func (s londonSigner) Equal(s2 Signer) bool {
	x, ok := s2.(londonSigner)
	return ok && x.chainId.Cmp(s.chainId) == 0
}

func (s londonSigner) SignatureValues(tx *Transaction, sig []byte) (R, S, V *big.Int, err error) {
	switch txdata := tx.inner.(type) {
	case *DynamicFeeTx:
		// Check that chain ID of tx matches the signer. We also accept ID zero here,
		// because it indicates that the chain ID was not specified in the tx.
		if txdata.ChainID.Sign() != 0 && txdata.ChainID.Cmp(s.chainId) != 0 {
			return nil, nil, nil, ErrInvalidChainId
		}
	case *CeloDynamicFeeTx:
		if txdata.ChainID.Sign() != 0 && txdata.ChainID.Cmp(s.chainId) != 0 {
			return nil, nil, nil, ErrInvalidChainId
		}
	default:
		return s.eip2930Signer.SignatureValues(tx, sig)
	}

	R, S, _ = decodeSignature(sig)
	V = big.NewInt(int64(sig[64]))
	return R, S, V, nil
}

// Hash returns the hash to be signed by the sender.
// It does not uniquely identify the transaction.
func (s londonSigner) Hash(tx *Transaction) common.Hash {
	switch tx.Type() {
	case DynamicFeeTxType:
		return prefixedRlpHash(
			tx.Type(),
			[]interface{}{
				s.chainId,
				tx.Nonce(),
				tx.GasTipCap(),
				tx.GasFeeCap(),
				tx.Gas(),
				tx.To(),
				tx.Value(),
				tx.Data(),
				tx.AccessList(),
			})
	case CeloDynamicFeeTxType:
		return prefixedRlpHash(
			tx.Type(),
			[]interface{}{
				s.chainId,
				tx.Nonce(),
				tx.GasTipCap(),
				tx.GasFeeCap(),
				tx.Gas(),
				tx.FeeCurrency(),
				tx.GatewayFeeRecipient(),
				tx.GatewayFee(),
				tx.To(),
				tx.Value(),
				tx.Data(),
				tx.AccessList(),
			})
	default:
		return s.eip2930Signer.Hash(tx)
	}

}

type eip2930Signer struct{ EIP155Signer }

// NewEIP2930Signer returns a signer that accepts EIP-2930 access list transactions,
// EIP-155 replay protected transactions, and legacy Homestead transactions.
func NewEIP2930Signer(chainId *big.Int) Signer {
	return eip2930Signer{NewEIP155Signer(chainId)}
}

func (s eip2930Signer) ChainID() *big.Int {
	return s.chainId
}

func (s eip2930Signer) Equal(s2 Signer) bool {
	x, ok := s2.(eip2930Signer)
	return ok && x.chainId.Cmp(s.chainId) == 0
}

func (s eip2930Signer) Sender(tx *Transaction) (common.Address, error) {
	V, R, S := tx.RawSignatureValues()
	switch tx.Type() {
	case LegacyTxType:
		if !tx.Protected() {
			return HomesteadSigner{}.Sender(tx)
		}
		V = new(big.Int).Sub(V, s.chainIdMul)
		V.Sub(V, big8)
	case AccessListTxType:
		// AL txs are defined to use 0 and 1 as their recovery
		// id, add 27 to become equivalent to unprotected Homestead signatures.
		V = new(big.Int).Add(V, big.NewInt(27))
	default:
		return common.Address{}, ErrTxTypeNotSupported
	}
	if tx.ChainId().Cmp(s.chainId) != 0 {
		return common.Address{}, ErrInvalidChainId
	}
	return recoverPlain(s.Hash(tx), R, S, V, true)
}

func (s eip2930Signer) SignatureValues(tx *Transaction, sig []byte) (R, S, V *big.Int, err error) {
	switch txdata := tx.inner.(type) {
	case *LegacyTx:
		return s.EIP155Signer.SignatureValues(tx, sig)
	case *AccessListTx:
		// Check that chain ID of tx matches the signer. We also accept ID zero here,
		// because it indicates that the chain ID was not specified in the tx.
		if txdata.ChainID.Sign() != 0 && txdata.ChainID.Cmp(s.chainId) != 0 {
			return nil, nil, nil, ErrInvalidChainId
		}
		R, S, _ = decodeSignature(sig)
		V = big.NewInt(int64(sig[64]))
	default:
		return nil, nil, nil, ErrTxTypeNotSupported
	}
	return R, S, V, nil
}

// Hash returns the hash to be signed by the sender.
// It does not uniquely identify the transaction.
func (s eip2930Signer) Hash(tx *Transaction) common.Hash {
	switch tx.Type() {
	case LegacyTxType:
		if tx.EthCompatible() {
			return rlpHash([]interface{}{
				tx.Nonce(),
				tx.GasPrice(),
				tx.Gas(),
				tx.To(),
				tx.Value(),
				tx.Data(),
				s.chainId, uint(0), uint(0),
			})
		} else {
			return rlpHash([]interface{}{
				tx.Nonce(),
				tx.GasPrice(),
				tx.Gas(),
				tx.FeeCurrency(),
				tx.GatewayFeeRecipient(),
				tx.GatewayFee(),
				tx.To(),
				tx.Value(),
				tx.Data(),
				s.chainId, uint(0), uint(0),
			})
		}
	case AccessListTxType:
		return prefixedRlpHash(
			tx.Type(),
			[]interface{}{
				s.chainId,
				tx.Nonce(),
				tx.GasPrice(),
				tx.Gas(),
				tx.To(),
				tx.Value(),
				tx.Data(),
				tx.AccessList(),
			})
	default:
		// This _should_ not happen, but in case someone sends in a bad
		// json struct via RPC, it's probably more prudent to return an
		// empty hash instead of killing the node with a panic
		//panic("Unsupported transaction type: %d", tx.typ)
		return common.Hash{}
	}
}

// EIP155Signer implements Signer using the EIP-155 rules. This accepts transactions which
// are replay-protected as well as unprotected homestead transactions.
type EIP155Signer struct {
	chainId, chainIdMul *big.Int
}

func NewEIP155Signer(chainId *big.Int) EIP155Signer {
	if chainId == nil {
		chainId = new(big.Int)
	}
	return EIP155Signer{
		chainId:    chainId,
		chainIdMul: new(big.Int).Mul(chainId, big.NewInt(2)),
	}
}

func (s EIP155Signer) ChainID() *big.Int {
	return s.chainId
}

func (s EIP155Signer) Equal(s2 Signer) bool {
	eip155, ok := s2.(EIP155Signer)
	return ok && eip155.chainId.Cmp(s.chainId) == 0
}

var big8 = big.NewInt(8)

func (s EIP155Signer) Sender(tx *Transaction) (common.Address, error) {
	if tx.Type() != LegacyTxType {
		return common.Address{}, ErrTxTypeNotSupported
	}
	if !tx.Protected() {
		return HomesteadSigner{}.Sender(tx)
	}
	if tx.ChainId().Cmp(s.chainId) != 0 {
		return common.Address{}, ErrInvalidChainId
	}
	V, R, S := tx.RawSignatureValues()
	V = new(big.Int).Sub(V, s.chainIdMul)
	V.Sub(V, big8)
	return recoverPlain(s.Hash(tx), R, S, V, true)
}

// SignatureValues returns signature values. This signature
// needs to be in the [R || S || V] format where V is 0 or 1.
func (s EIP155Signer) SignatureValues(tx *Transaction, sig []byte) (R, S, V *big.Int, err error) {
	if tx.Type() != LegacyTxType {
		return nil, nil, nil, ErrTxTypeNotSupported
	}
	R, S, V = decodeSignature(sig)
	if s.chainId.Sign() != 0 {
		V = big.NewInt(int64(sig[64] + 35))
		V.Add(V, s.chainIdMul)
	}
	return R, S, V, nil
}

// Hash returns the hash to be signed by the sender.
// It does not uniquely identify the transaction.
func (s EIP155Signer) Hash(tx *Transaction) common.Hash {
	if tx.EthCompatible() {
		return rlpHash([]interface{}{
			tx.Nonce(),
			tx.GasPrice(),
			tx.Gas(),
			tx.To(),
			tx.Value(),
			tx.Data(),
			s.chainId, uint(0), uint(0),
		})
	} else {
		return rlpHash([]interface{}{
			tx.Nonce(),
			tx.GasPrice(),
			tx.Gas(),
			tx.FeeCurrency(),
			tx.GatewayFeeRecipient(),
			tx.GatewayFee(),
			tx.To(),
			tx.Value(),
			tx.Data(),
			s.chainId, uint(0), uint(0),
		})
	}
}

// HomesteadTransaction implements TransactionInterface using the
// homestead rules.
type HomesteadSigner struct{ FrontierSigner }

func (s HomesteadSigner) ChainID() *big.Int {
	return nil
}

func (s HomesteadSigner) Equal(s2 Signer) bool {
	_, ok := s2.(HomesteadSigner)
	return ok
}

// SignatureValues returns signature values. This signature
// needs to be in the [R || S || V] format where V is 0 or 1.
func (hs HomesteadSigner) SignatureValues(tx *Transaction, sig []byte) (r, s, v *big.Int, err error) {
	return hs.FrontierSigner.SignatureValues(tx, sig)
}

func (hs HomesteadSigner) Sender(tx *Transaction) (common.Address, error) {
	if tx.Type() != LegacyTxType {
		return common.Address{}, ErrTxTypeNotSupported
	}
	v, r, s := tx.RawSignatureValues()
	return recoverPlain(hs.Hash(tx), r, s, v, true)
}

func (hs HomesteadSigner) SenderData(data common.Hash, sig []byte) (common.Address, []byte, error) {
	r, s, v, err := hs.SignatureValues(nil, sig)
	v = new(big.Int).Sub(v, big.NewInt(27))
	if err != nil {
		return common.Address{}, nil, err
	}
	return recoverPlainWithPublic(data, r, s, v, true)
}

type FrontierSigner struct{}

func (s FrontierSigner) ChainID() *big.Int {
	return nil
}

func (s FrontierSigner) Equal(s2 Signer) bool {
	_, ok := s2.(FrontierSigner)
	return ok
}

func (fs FrontierSigner) Sender(tx *Transaction) (common.Address, error) {
	if tx.Type() != LegacyTxType {
		return common.Address{}, ErrTxTypeNotSupported
	}
	v, r, s := tx.RawSignatureValues()
	return recoverPlain(fs.Hash(tx), r, s, v, false)
}

// SignatureValues returns signature values. This signature
// needs to be in the [R || S || V] format where V is 0 or 1.
func (fs FrontierSigner) SignatureValues(tx *Transaction, sig []byte) (r, s, v *big.Int, err error) {
	if tx.Type() != LegacyTxType {
		return nil, nil, nil, ErrTxTypeNotSupported
	}
	r, s, v = decodeSignature(sig)
	return r, s, v, nil
}

// Hash returns the hash to be signed by the sender.
// It does not uniquely identify the transaction.
func (fs FrontierSigner) Hash(tx *Transaction) common.Hash {
	if tx.EthCompatible() {
		return rlpHash([]interface{}{
			tx.Nonce(),
			tx.GasPrice(),
			tx.Gas(),
			tx.To(),
			tx.Value(),
			tx.Data(),
		})
	} else {
		return rlpHash([]interface{}{
			tx.Nonce(),
			tx.GasPrice(),
			tx.Gas(),
			tx.FeeCurrency(),
			tx.GatewayFeeRecipient(),
			tx.GatewayFee(),
			tx.To(),
			tx.Value(),
			tx.Data(),
		})
	}
}

func decodeSignature(sig []byte) (r, s, v *big.Int) {
	if len(sig) != crypto.SignatureLength {
		panic(fmt.Sprintf("wrong size for signature: got %d, want %d", len(sig), crypto.SignatureLength))
	}
	r = new(big.Int).SetBytes(sig[:32])
	s = new(big.Int).SetBytes(sig[32:64])
	v = new(big.Int).SetBytes([]byte{sig[64] + 27})
	return r, s, v
}

func recoverPlain(sighash common.Hash, R, S, Vb *big.Int, homestead bool) (common.Address, error) {
	addr, _, err := recoverPlainWithPublic(sighash, R, S, Vb, homestead)
	return addr, err
}

func recoverPlainWithPublic(sighash common.Hash, R, S, Vb *big.Int, homestead bool) (common.Address, []byte, error) {
	if Vb.BitLen() > 8 {
		return common.Address{}, nil, ErrInvalidSig
	}
	V := byte(Vb.Uint64() - 27)
	if !crypto.ValidateSignatureValues(V, R, S, homestead) {
		return common.Address{}, nil, ErrInvalidSig
	}
	// encode the signature in uncompressed format
	r, s := R.Bytes(), S.Bytes()
	sig := make([]byte, crypto.SignatureLength)
	copy(sig[32-len(r):32], r)
	copy(sig[64-len(s):64], s)
	sig[64] = V
	// recover the public key from the signature
	pub, err := crypto.Ecrecover(sighash[:], sig)
	if err != nil {
		return common.Address{}, nil, err
	}
	if len(pub) == 0 || pub[0] != 4 {
		return common.Address{}, nil, errors.New("invalid public key")
	}
	var addr common.Address
	copy(addr[:], crypto.Keccak256(pub[1:])[12:])
	return addr, pub, nil
}

// deriveChainId derives the chain id from the given v parameter
func deriveChainId(v *big.Int) *big.Int {
	if v.BitLen() <= 64 {
		v := v.Uint64()
		if v == 27 || v == 28 {
			return new(big.Int)
		}
		return new(big.Int).SetUint64((v - 35) / 2)
	}
	v = new(big.Int).Sub(v, big.NewInt(35))
	return v.Div(v, big.NewInt(2))
}
