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-rw-r--r--src/crypto/ed25519/ed25519.go215
1 files changed, 215 insertions, 0 deletions
diff --git a/src/crypto/ed25519/ed25519.go b/src/crypto/ed25519/ed25519.go
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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. 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/ed25519/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 := edwards25519.NewScalar().SetBytesWithClamping(h[:32])
+ 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 := edwards25519.NewScalar().SetBytesWithClamping(h[:32])
+ prefix := h[32:]
+
+ mh := sha512.New()
+ mh.Write(prefix)
+ mh.Write(message)
+ messageDigest := make([]byte, 0, sha512.Size)
+ messageDigest = mh.Sum(messageDigest)
+ r := edwards25519.NewScalar().SetUniformBytes(messageDigest)
+
+ 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 := edwards25519.NewScalar().SetUniformBytes(hramDigest)
+
+ 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 := edwards25519.NewScalar().SetUniformBytes(hramDigest)
+
+ 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())
+}