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// Copyright 2016 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
// Package ed25519 implements the Ed25519 signature algorithm. See
// https://ed25519.cr.yp.to/.
//
// These functions are also compatible with the “Ed25519” function defined in
// RFC 8032.
package ed25519
// This code is a port of the public domain, “ref10” implementation of ed25519
// from SUPERCOP.
import ( "bytes" "crypto" cryptorand "crypto/rand" "crypto/sha512" "errors" "io" "strconv"
"golang.org/x/crypto/ed25519/internal/edwards25519" )
const ( // PublicKeySize is the size, in bytes, of public keys as used in this package.
PublicKeySize = 32 // PrivateKeySize is the size, in bytes, of private keys as used in this package.
PrivateKeySize = 64 // SignatureSize is the size, in bytes, of signatures generated and verified by this package.
SignatureSize = 64 )
// PublicKey is the type of Ed25519 public keys.
type PublicKey []byte
// PrivateKey is the type of Ed25519 private keys. It implements crypto.Signer.
type PrivateKey []byte
// Public returns the PublicKey corresponding to priv.
func (priv PrivateKey) Public() crypto.PublicKey { publicKey := make([]byte, PublicKeySize) copy(publicKey, priv[32:]) return PublicKey(publicKey) }
// Sign signs the given message with priv.
// Ed25519 performs two passes over messages to be signed and therefore cannot
// handle pre-hashed messages. Thus opts.HashFunc() must return zero to
// indicate the message hasn't been hashed. This can be achieved by passing
// crypto.Hash(0) as the value for opts.
func (priv PrivateKey) Sign(rand io.Reader, message []byte, opts crypto.SignerOpts) (signature []byte, err error) { if opts.HashFunc() != crypto.Hash(0) { return nil, errors.New("ed25519: cannot sign hashed message") }
return Sign(priv, message), nil }
// GenerateKey generates a public/private key pair using entropy from rand.
// If rand is nil, crypto/rand.Reader will be used.
func GenerateKey(rand io.Reader) (publicKey PublicKey, privateKey PrivateKey, err error) { if rand == nil { rand = cryptorand.Reader }
privateKey = make([]byte, PrivateKeySize) publicKey = make([]byte, PublicKeySize) _, err = io.ReadFull(rand, privateKey[:32]) if err != nil { return nil, nil, err }
digest := sha512.Sum512(privateKey[:32]) digest[0] &= 248 digest[31] &= 127 digest[31] |= 64
var A edwards25519.ExtendedGroupElement var hBytes [32]byte copy(hBytes[:], digest[:]) edwards25519.GeScalarMultBase(&A, &hBytes) var publicKeyBytes [32]byte A.ToBytes(&publicKeyBytes)
copy(privateKey[32:], publicKeyBytes[:]) copy(publicKey, publicKeyBytes[:])
return publicKey, privateKey, nil }
// Sign signs the message with privateKey and returns a signature. It will
// panic if len(privateKey) is not PrivateKeySize.
func Sign(privateKey PrivateKey, message []byte) []byte { if l := len(privateKey); l != PrivateKeySize { panic("ed25519: bad private key length: " + strconv.Itoa(l)) }
h := sha512.New() h.Write(privateKey[:32])
var digest1, messageDigest, hramDigest [64]byte var expandedSecretKey [32]byte h.Sum(digest1[:0]) copy(expandedSecretKey[:], digest1[:]) expandedSecretKey[0] &= 248 expandedSecretKey[31] &= 63 expandedSecretKey[31] |= 64
h.Reset() h.Write(digest1[32:]) h.Write(message) h.Sum(messageDigest[:0])
var messageDigestReduced [32]byte edwards25519.ScReduce(&messageDigestReduced, &messageDigest) var R edwards25519.ExtendedGroupElement edwards25519.GeScalarMultBase(&R, &messageDigestReduced)
var encodedR [32]byte R.ToBytes(&encodedR)
h.Reset() h.Write(encodedR[:]) h.Write(privateKey[32:]) h.Write(message) h.Sum(hramDigest[:0]) var hramDigestReduced [32]byte edwards25519.ScReduce(&hramDigestReduced, &hramDigest)
var s [32]byte edwards25519.ScMulAdd(&s, &hramDigestReduced, &expandedSecretKey, &messageDigestReduced)
signature := make([]byte, SignatureSize) copy(signature[:], encodedR[:]) copy(signature[32:], s[:])
return signature }
// Verify reports whether sig is a valid signature of message by publicKey. It
// will panic if len(publicKey) is not PublicKeySize.
func Verify(publicKey PublicKey, message, sig []byte) bool { if l := len(publicKey); l != PublicKeySize { panic("ed25519: bad public key length: " + strconv.Itoa(l)) }
if len(sig) != SignatureSize || sig[63]&224 != 0 { return false }
var A edwards25519.ExtendedGroupElement var publicKeyBytes [32]byte copy(publicKeyBytes[:], publicKey) if !A.FromBytes(&publicKeyBytes) { return false } edwards25519.FeNeg(&A.X, &A.X) edwards25519.FeNeg(&A.T, &A.T)
h := sha512.New() h.Write(sig[:32]) h.Write(publicKey[:]) h.Write(message) var digest [64]byte h.Sum(digest[:0])
var hReduced [32]byte edwards25519.ScReduce(&hReduced, &digest)
var R edwards25519.ProjectiveGroupElement var b [32]byte copy(b[:], sig[32:]) edwards25519.GeDoubleScalarMultVartime(&R, &hReduced, &A, &b)
var checkR [32]byte R.ToBytes(&checkR) return bytes.Equal(sig[:32], checkR[:]) }
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