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								// Copyright 2017 The go-ethereum Authors
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								// This file is part of the go-ethereum library.
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								//
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								// The go-ethereum library is free software: you can redistribute it and/or modify
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								// it under the terms of the GNU Lesser General Public License as published by
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								// the Free Software Foundation, either version 3 of the License, or
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								// (at your option) any later version.
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								//
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								// The go-ethereum library is distributed in the hope that it will be useful,
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								// but WITHOUT ANY WARRANTY; without even the implied warranty of
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								// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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								// GNU Lesser General Public License for more details.
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								//
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								// You should have received a copy of the GNU Lesser General Public License
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								// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
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								// +build !nacl,!js,!nocgo
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								package crypto
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								import (
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									"crypto/ecdsa"
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									"crypto/elliptic"
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									"fmt"
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									"github.com/ethereum/go-ethereum/common/math"
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									"github.com/ethereum/go-ethereum/crypto/secp256k1"
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								)
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								// Ecrecover returns the uncompressed public key that created the given signature.
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								func Ecrecover(hash, sig []byte) ([]byte, error) {
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									return secp256k1.RecoverPubkey(hash, sig)
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								}
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								// SigToPub returns the public key that created the given signature.
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								func SigToPub(hash, sig []byte) (*ecdsa.PublicKey, error) {
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									s, err := Ecrecover(hash, sig)
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									if err != nil {
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										return nil, err
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									}
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									x, y := elliptic.Unmarshal(S256(), s)
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									return &ecdsa.PublicKey{Curve: S256(), X: x, Y: y}, nil
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								}
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								// Sign calculates an ECDSA signature.
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								//
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								// This function is susceptible to chosen plaintext attacks that can leak
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								// information about the private key that is used for signing. Callers must
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								// be aware that the given hash cannot be chosen by an adversery. Common
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								// solution is to hash any input before calculating the signature.
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								//
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								// The produced signature is in the [R || S || V] format where V is 0 or 1.
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								func Sign(hash []byte, prv *ecdsa.PrivateKey) (sig []byte, err error) {
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									if len(hash) != 32 {
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										return nil, fmt.Errorf("hash is required to be exactly 32 bytes (%d)", len(hash))
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									}
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									seckey := math.PaddedBigBytes(prv.D, prv.Params().BitSize/8)
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									defer zeroBytes(seckey)
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									return secp256k1.Sign(hash, seckey)
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								}
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								// VerifySignature checks that the given public key created signature over hash.
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								// The public key should be in compressed (33 bytes) or uncompressed (65 bytes) format.
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								// The signature should have the 64 byte [R || S] format.
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								func VerifySignature(pubkey, hash, signature []byte) bool {
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									return secp256k1.VerifySignature(pubkey, hash, signature)
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								}
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								// DecompressPubkey parses a public key in the 33-byte compressed format.
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								func DecompressPubkey(pubkey []byte) (*ecdsa.PublicKey, error) {
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									x, y := secp256k1.DecompressPubkey(pubkey)
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									if x == nil {
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										return nil, fmt.Errorf("invalid public key")
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									}
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									return &ecdsa.PublicKey{X: x, Y: y, Curve: S256()}, nil
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								}
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								// CompressPubkey encodes a public key to the 33-byte compressed format.
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								func CompressPubkey(pubkey *ecdsa.PublicKey) []byte {
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									return secp256k1.CompressPubkey(pubkey.X, pubkey.Y)
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								}
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								// S256 returns an instance of the secp256k1 curve.
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								func S256() elliptic.Curve {
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									return secp256k1.S256()
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								}
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