ed25519.go

// 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. However, unlike RFC 8032's formulation, this package's private key
// representation includes a public key suffix to make multiple signing
// operations with the same key more efficient. This package refers to the RFC
// 8032 private key as the “seed”.
package ed25519

import (
	"bytes"
	"crypto"
	"crypto/internal/edwards25519"
	cryptorand "crypto/rand"
	"crypto/sha512"
	"errors"
	"io"
	"strconv"
)

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
	// SeedSize is the size, in bytes, of private key seeds. These are the private key representations used by RFC 8032.
	SeedSize = 32
)

// PublicKey is the type of Ed25519 public keys.
type PublicKey []byte

// Any methods implemented on PublicKey might need to also be implemented on
// PrivateKey, as the latter embeds the former and will expose its methods.

// Equal reports whether pub and x have the same value.
func (pub PublicKey) Equal(x crypto.PublicKey) bool {
	xx, ok := x.(PublicKey)
	if !ok {
		return false
	}
	return bytes.Equal(pub, xx)
}

// 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)
}

// Equal reports whether priv and x have the same value.
func (priv PrivateKey) Equal(x crypto.PrivateKey) bool {
	xx, ok := x.(PrivateKey)
	if !ok {
		return false
	}
	return bytes.Equal(priv, xx)
}

// Seed returns the private key seed corresponding to priv. It is provided for
// interoperability with RFC 8032. RFC 8032's private keys correspond to seeds
// in this package.
func (priv PrivateKey) Seed() []byte {
	seed := make([]byte, SeedSize)
	copy(seed, priv[:32])
	return seed
}

// 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, PrivateKey, error) {
	if rand == nil {
		rand = cryptorand.Reader
	}

	seed := make([]byte, SeedSize)
	if _, err := io.ReadFull(rand, seed); err != nil {
		return nil, nil, err
	}

	privateKey := NewKeyFromSeed(seed)
	publicKey := make([]byte, PublicKeySize)
	copy(publicKey, privateKey[32:])

	return publicKey, privateKey, nil
}

// NewKeyFromSeed calculates a private key from a seed. It will panic if
// len(seed) is not SeedSize. This function is provided for interoperability
// with RFC 8032. RFC 8032's private keys correspond to seeds in this
// package.
func NewKeyFromSeed(seed []byte) PrivateKey {
	// Outline the function body so that the returned key can be stack-allocated.
	privateKey := make([]byte, PrivateKeySize)
	newKeyFromSeed(privateKey, seed)
	return privateKey
}

func newKeyFromSeed(privateKey, seed []byte) {
	if l := len(seed); l != SeedSize {
		panic("ed25519: bad seed length: " + strconv.Itoa(l))
	}

	h := sha512.Sum512(seed)
	s, err := edwards25519.NewScalar().SetBytesWithClamping(h[:32])
	if err != nil {
		panic("ed25519: internal error: setting scalar failed")
	}
	A := (&edwards25519.Point{}).ScalarBaseMult(s)

	publicKey := A.Bytes()

	copy(privateKey, seed)
	copy(privateKey[32:], publicKey)
}

// 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 {
	// Outline the function body so that the returned signature can be
	// stack-allocated.
	signature := make([]byte, SignatureSize)
	sign(signature, privateKey, message)
	return signature
}

func sign(signature, privateKey, message []byte) {
	if l := len(privateKey); l != PrivateKeySize {
		panic("ed25519: bad private key length: " + strconv.Itoa(l))
	}
	seed, publicKey := privateKey[:SeedSize], privateKey[SeedSize:]

	h := sha512.Sum512(seed)
	s, err := edwards25519.NewScalar().SetBytesWithClamping(h[:32])
	if err != nil {
		panic("ed25519: internal error: setting scalar failed")
	}
	prefix := h[32:]

	mh := sha512.New()
	mh.Write(prefix)
	mh.Write(message)
	messageDigest := make([]byte, 0, sha512.Size)
	messageDigest = mh.Sum(messageDigest)
	r, err := edwards25519.NewScalar().SetUniformBytes(messageDigest)
	if err != nil {
		panic("ed25519: internal error: setting scalar failed")
	}

	R := (&edwards25519.Point{}).ScalarBaseMult(r)

	kh := sha512.New()
	kh.Write(R.Bytes())
	kh.Write(publicKey)
	kh.Write(message)
	hramDigest := make([]byte, 0, sha512.Size)
	hramDigest = kh.Sum(hramDigest)
	k, err := edwards25519.NewScalar().SetUniformBytes(hramDigest)
	if err != nil {
		panic("ed25519: internal error: setting scalar failed")
	}

	S := edwards25519.NewScalar().MultiplyAdd(k, s, r)

	copy(signature[:32], R.Bytes())
	copy(signature[32:], S.Bytes())
}

// 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
	}

	A, err := (&edwards25519.Point{}).SetBytes(publicKey)
	if err != nil {
		return false
	}

	kh := sha512.New()
	kh.Write(sig[:32])
	kh.Write(publicKey)
	kh.Write(message)
	hramDigest := make([]byte, 0, sha512.Size)
	hramDigest = kh.Sum(hramDigest)
	k, err := edwards25519.NewScalar().SetUniformBytes(hramDigest)
	if err != nil {
		panic("ed25519: internal error: setting scalar failed")
	}

	S, err := edwards25519.NewScalar().SetCanonicalBytes(sig[32:])
	if err != nil {
		return false
	}

	// [S]B = R + [k]A --> [k](-A) + [S]B = R
	minusA := (&edwards25519.Point{}).Negate(A)
	R := (&edwards25519.Point{}).VarTimeDoubleScalarBaseMult(k, minusA, S)

	return bytes.Equal(sig[:32], R.Bytes())
}