ed25519.go

// Copyright 2013 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
// http://ed25519.cr.yp.to/.
package ed25519

// This code is a port of the public domain, "ref10" implementation of ed25519
// from SUPERCOP.

import (
	"crypto/sha512"
	"crypto/subtle"
	"io"

	"github.com/tendermint/ed25519/edwards25519"
)

const (
	PublicKeySize  = 32
	PrivateKeySize = 64
	SignatureSize  = 64
)

// GenerateKey generates a public/private key pair using randomness from rand.
func GenerateKey(rand io.Reader) (publicKey *[PublicKeySize]byte, privateKey *[PrivateKeySize]byte, err error) {
	privateKey = new([64]byte)
	_, err = io.ReadFull(rand, privateKey[:32])
	if err != nil {
		return nil, nil, err
	}

	publicKey = MakePublicKey(privateKey)
	return
}

// MakePublicKey makes a publicKey from the first half of privateKey.
func MakePublicKey(privateKey *[PrivateKeySize]byte) (publicKey *[PublicKeySize]byte) {
	publicKey = new([32]byte)

	h := sha512.New()
	h.Write(privateKey[:32])
	digest := h.Sum(nil)

	digest[0] &= 248
	digest[31] &= 127
	digest[31] |= 64

	var A edwards25519.ExtendedGroupElement
	var hBytes [32]byte
	copy(hBytes[:], digest)
	edwards25519.GeScalarMultBase(&A, &hBytes)
	A.ToBytes(publicKey)

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

// Sign signs the message with privateKey and returns a signature.
func Sign(privateKey *[PrivateKeySize]byte, message []byte) *[SignatureSize]byte {
	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 := new([64]byte)
	copy(signature[:], encodedR[:])
	copy(signature[32:], s[:])
	return signature
}

// Verify returns true iff sig is a valid signature of message by publicKey.
func Verify(publicKey *[PublicKeySize]byte, message []byte, sig *[SignatureSize]byte) bool {
	if sig[63]&224 != 0 {
		return false
	}

	var A edwards25519.ExtendedGroupElement
	if !A.FromBytes(publicKey) {
		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 subtle.ConstantTimeCompare(sig[:32], checkR[:]) == 1
}