github.com/Hyperledger-TWGC/tjfoc-gm@v1.4.0/sm2/sm2.go

/*
Copyright Suzhou Tongji Fintech Research Institute 2017 All Rights Reserved.
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at

	http://www.apache.org/licenses/LICENSE-2.0

Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*/

package sm2

// reference to ecdsa
import (
	"bytes"
	"crypto"
	"crypto/elliptic"
	"crypto/rand"
	"encoding/asn1"
	"encoding/binary"
	"errors"
	"io"
	"math/big"

	"github.com/Hyperledger-TWGC/tjfoc-gm/sm3"
)

var (
	default_uid = []byte{0x31, 0x32, 0x33, 0x34, 0x35, 0x36, 0x37, 0x38, 0x31, 0x32, 0x33, 0x34, 0x35, 0x36, 0x37, 0x38}
)

type PublicKey struct {
	elliptic.Curve
	X, Y *big.Int
}

type PrivateKey struct {
	PublicKey
	D *big.Int
}

type sm2Signature struct {
	R, S *big.Int
}
type sm2Cipher struct {
	XCoordinate *big.Int
	YCoordinate *big.Int
	HASH        []byte
	CipherText  []byte
}

// The SM2's private key contains the public key
func (priv *PrivateKey) Public() crypto.PublicKey {
	return &priv.PublicKey
}

var errZeroParam = errors.New("zero parameter")
var one = new(big.Int).SetInt64(1)
var two = new(big.Int).SetInt64(2)

// sign format = 30 + len(z) + 02 + len(r) + r + 02 + len(s) + s, z being what follows its size, ie 02+len(r)+r+02+len(s)+s
func (priv *PrivateKey) Sign(random io.Reader, msg []byte, signer crypto.SignerOpts) ([]byte, error) {
	r, s, err := Sm2Sign(priv, msg, nil, random)
	if err != nil {
		return nil, err
	}
	return asn1.Marshal(sm2Signature{r, s})
}

func (pub *PublicKey) Verify(msg []byte, sign []byte) bool {
	var sm2Sign sm2Signature
	_, err := asn1.Unmarshal(sign, &sm2Sign)
	if err != nil {
		return false
	}
	return Sm2Verify(pub, msg, default_uid, sm2Sign.R, sm2Sign.S)
}

func (pub *PublicKey) Sm3Digest(msg, uid []byte) ([]byte, error) {
	if len(uid) == 0 {
		uid = default_uid
	}

	za, err := ZA(pub, uid)
	if err != nil {
		return nil, err
	}

	e, err := msgHash(za, msg)
	if err != nil {
		return nil, err
	}

	return e.Bytes(), nil
}

//****************************Encryption algorithm****************************//
func (pub *PublicKey) EncryptAsn1(data []byte, random io.Reader) ([]byte, error) {
	return EncryptAsn1(pub, data, random)
}

func (priv *PrivateKey) DecryptAsn1(data []byte) ([]byte, error) {
	return DecryptAsn1(priv, data)
}

//**************************Key agreement algorithm**************************//
// KeyExchangeB 协商第二部，用户B调用， 返回共享密钥k
func KeyExchangeB(klen int, ida, idb []byte, priB *PrivateKey, pubA *PublicKey, rpri *PrivateKey, rpubA *PublicKey) (k, s1, s2 []byte, err error) {
	return keyExchange(klen, ida, idb, priB, pubA, rpri, rpubA, false)
}

// KeyExchangeA 协商第二部，用户A调用，返回共享密钥k
func KeyExchangeA(klen int, ida, idb []byte, priA *PrivateKey, pubB *PublicKey, rpri *PrivateKey, rpubB *PublicKey) (k, s1, s2 []byte, err error) {
	return keyExchange(klen, ida, idb, priA, pubB, rpri, rpubB, true)
}

//****************************************************************************//

func Sm2Sign(priv *PrivateKey, msg, uid []byte, random io.Reader) (r, s *big.Int, err error) {
	digest, err := priv.PublicKey.Sm3Digest(msg, uid)
	if err != nil {
		return nil, nil, err
	}
	e := new(big.Int).SetBytes(digest)
	c := priv.PublicKey.Curve
	N := c.Params().N
	if N.Sign() == 0 {
		return nil, nil, errZeroParam
	}
	var k *big.Int
	for { // 调整算法细节以实现SM2
		for {
			k, err = randFieldElement(c, random)
			if err != nil {
				r = nil
				return
			}
			r, _ = priv.Curve.ScalarBaseMult(k.Bytes())
			r.Add(r, e)
			r.Mod(r, N)
			if r.Sign() != 0 {
				if t := new(big.Int).Add(r, k); t.Cmp(N) != 0 {
					break
				}
			}

		}
		rD := new(big.Int).Mul(priv.D, r)
		s = new(big.Int).Sub(k, rD)
		d1 := new(big.Int).Add(priv.D, one)
		d1Inv := new(big.Int).ModInverse(d1, N)
		s.Mul(s, d1Inv)
		s.Mod(s, N)
		if s.Sign() != 0 {
			break
		}
	}
	return
}
func Sm2Verify(pub *PublicKey, msg, uid []byte, r, s *big.Int) bool {
	c := pub.Curve
	N := c.Params().N
	one := new(big.Int).SetInt64(1)
	if r.Cmp(one) < 0 || s.Cmp(one) < 0 {
		return false
	}
	if r.Cmp(N) >= 0 || s.Cmp(N) >= 0 {
		return false
	}
	if len(uid) == 0 {
		uid = default_uid
	}
	za, err := ZA(pub, uid)
	if err != nil {
		return false
	}
	e, err := msgHash(za, msg)
	if err != nil {
		return false
	}
	t := new(big.Int).Add(r, s)
	t.Mod(t, N)
	if t.Sign() == 0 {
		return false
	}
	var x *big.Int
	x1, y1 := c.ScalarBaseMult(s.Bytes())
	x2, y2 := c.ScalarMult(pub.X, pub.Y, t.Bytes())
	x, _ = c.Add(x1, y1, x2, y2)

	x.Add(x, e)
	x.Mod(x, N)
	return x.Cmp(r) == 0
}

/* 
    za, err := ZA(pub, uid)
	if err != nil {
		return 
	}
	e, err := msgHash(za, msg)
	hash=e.getBytes()
*/
func Verify(pub *PublicKey, hash []byte, r, s *big.Int) bool {
	c := pub.Curve
	N := c.Params().N

	if r.Sign() <= 0 || s.Sign() <= 0 {
		return false
	}
	if r.Cmp(N) >= 0 || s.Cmp(N) >= 0 {
		return false
	}

	// 调整算法细节以实现SM2
	t := new(big.Int).Add(r, s)
	t.Mod(t, N)
	if t.Sign() == 0 {
		return false
	}

	var x *big.Int
	x1, y1 := c.ScalarBaseMult(s.Bytes())
	x2, y2 := c.ScalarMult(pub.X, pub.Y, t.Bytes())
	x, _ = c.Add(x1, y1, x2, y2)

	e := new(big.Int).SetBytes(hash)
	x.Add(x, e)
	x.Mod(x, N)
	return x.Cmp(r) == 0
}

/*
 * sm2密文结构如下:
 *  x
 *  y
 *  hash
 *  CipherText
 */
func Encrypt(pub *PublicKey, data []byte, random io.Reader) ([]byte, error) {
	length := len(data)
	for {
		c := []byte{}
		curve := pub.Curve
		k, err := randFieldElement(curve, random)
		if err != nil {
			return nil, err
		}
		x1, y1 := curve.ScalarBaseMult(k.Bytes())
		x2, y2 := curve.ScalarMult(pub.X, pub.Y, k.Bytes())
		x1Buf := x1.Bytes()
		y1Buf := y1.Bytes()
		x2Buf := x2.Bytes()
		y2Buf := y2.Bytes()
		if n := len(x1Buf); n < 32 {
			x1Buf = append(zeroByteSlice()[:32-n], x1Buf...)
		}
		if n := len(y1Buf); n < 32 {
			y1Buf = append(zeroByteSlice()[:32-n], y1Buf...)
		}
		if n := len(x2Buf); n < 32 {
			x2Buf = append(zeroByteSlice()[:32-n], x2Buf...)
		}
		if n := len(y2Buf); n < 32 {
			y2Buf = append(zeroByteSlice()[:32-n], y2Buf...)
		}
		c = append(c, x1Buf...) // x分量
		c = append(c, y1Buf...) // y分量
		tm := []byte{}
		tm = append(tm, x2Buf...)
		tm = append(tm, data...)
		tm = append(tm, y2Buf...)
		h := sm3.Sm3Sum(tm)
		c = append(c, h...)
		ct, ok := kdf(length, x2Buf, y2Buf) // 密文
		if !ok {
			continue
		}
		c = append(c, ct...)
		for i := 0; i < length; i++ {
			c[96+i] ^= data[i]
		}
		return append([]byte{0x04}, c...), nil
	}
}

func Decrypt(priv *PrivateKey, data []byte) ([]byte, error) {
	data = data[1:]
	length := len(data) - 96
	curve := priv.Curve
	x := new(big.Int).SetBytes(data[:32])
	y := new(big.Int).SetBytes(data[32:64])
	x2, y2 := curve.ScalarMult(x, y, priv.D.Bytes())
	x2Buf := x2.Bytes()
	y2Buf := y2.Bytes()
	if n := len(x2Buf); n < 32 {
		x2Buf = append(zeroByteSlice()[:32-n], x2Buf...)
	}
	if n := len(y2Buf); n < 32 {
		y2Buf = append(zeroByteSlice()[:32-n], y2Buf...)
	}
	c, ok := kdf(length, x2Buf, y2Buf)
	if !ok {
		return nil, errors.New("Decrypt: failed to decrypt")
	}
	for i := 0; i < length; i++ {
		c[i] ^= data[i+96]
	}
	tm := []byte{}
	tm = append(tm, x2Buf...)
	tm = append(tm, c...)
	tm = append(tm, y2Buf...)
	h := sm3.Sm3Sum(tm)
	if bytes.Compare(h, data[64:96]) != 0 {
		return c, errors.New("Decrypt: failed to decrypt")
	}
	return c, nil
}

// keyExchange 为SM2密钥交换算法的第二部和第三步复用部分，协商的双方均调用此函数计算共同的字节串
// klen: 密钥长度
// ida, idb: 协商双方的标识，ida为密钥协商算法发起方标识，idb为响应方标识
// pri: 函数调用者的密钥
// pub: 对方的公钥
// rpri: 函数调用者生成的临时SM2密钥
// rpub: 对方发来的临时SM2公钥
// thisIsA: 如果是A调用，文档中的协商第三步，设置为true，否则设置为false
// 返回 k 为klen长度的字节串
func keyExchange(klen int, ida, idb []byte, pri *PrivateKey, pub *PublicKey, rpri *PrivateKey, rpub *PublicKey, thisISA bool) (k, s1, s2 []byte, err error) {
	curve := P256Sm2()
	N := curve.Params().N
	x2hat := keXHat(rpri.PublicKey.X)
	x2rb := new(big.Int).Mul(x2hat, rpri.D)
	tbt := new(big.Int).Add(pri.D, x2rb)
	tb := new(big.Int).Mod(tbt, N)
	if !curve.IsOnCurve(rpub.X, rpub.Y) {
		err = errors.New("Ra not on curve")
		return
	}
	x1hat := keXHat(rpub.X)
	ramx1, ramy1 := curve.ScalarMult(rpub.X, rpub.Y, x1hat.Bytes())
	vxt, vyt := curve.Add(pub.X, pub.Y, ramx1, ramy1)

	vx, vy := curve.ScalarMult(vxt, vyt, tb.Bytes())
	pza := pub
	if thisISA {
		pza = &pri.PublicKey
	}
	za, err := ZA(pza, ida)
	if err != nil {
		return
	}
	zero := new(big.Int)
	if vx.Cmp(zero) == 0 || vy.Cmp(zero) == 0 {
		err = errors.New("V is infinite")
	}
	pzb := pub
	if !thisISA {
		pzb = &pri.PublicKey
	}
	zb, err := ZA(pzb, idb)
	k, ok := kdf(klen, vx.Bytes(), vy.Bytes(), za, zb)
	if !ok {
		err = errors.New("kdf: zero key")
		return
	}
	h1 := BytesCombine(vx.Bytes(), za, zb, rpub.X.Bytes(), rpub.Y.Bytes(), rpri.X.Bytes(), rpri.Y.Bytes())
	if !thisISA {
		h1 = BytesCombine(vx.Bytes(), za, zb, rpri.X.Bytes(), rpri.Y.Bytes(), rpub.X.Bytes(), rpub.Y.Bytes())
	}
	hash := sm3.Sm3Sum(h1)
	h2 := BytesCombine([]byte{0x02}, vy.Bytes(), hash)
	S1 := sm3.Sm3Sum(h2)
	h3 := BytesCombine([]byte{0x03}, vy.Bytes(), hash)
	S2 := sm3.Sm3Sum(h3)
	return k, S1, S2, nil
}

func msgHash(za, msg []byte) (*big.Int, error) {
	e := sm3.New()
	e.Write(za)
	e.Write(msg)
	return new(big.Int).SetBytes(e.Sum(nil)[:32]), nil
}

// ZA = H256(ENTLA || IDA || a || b || xG || yG || xA || yA)
func ZA(pub *PublicKey, uid []byte) ([]byte, error) {
	za := sm3.New()
	uidLen := len(uid)
	if uidLen >= 8192 {
		return []byte{}, errors.New("SM2: uid too large")
	}
	Entla := uint16(8 * uidLen)
	za.Write([]byte{byte((Entla >> 8) & 0xFF)})
	za.Write([]byte{byte(Entla & 0xFF)})
	if uidLen > 0 {
		za.Write(uid)
	}
	za.Write(sm2P256ToBig(&sm2P256.a).Bytes())
	za.Write(sm2P256.B.Bytes())
	za.Write(sm2P256.Gx.Bytes())
	za.Write(sm2P256.Gy.Bytes())

	xBuf := pub.X.Bytes()
	yBuf := pub.Y.Bytes()
	if n := len(xBuf); n < 32 {
		xBuf = append(zeroByteSlice()[:32-n], xBuf...)
	}
	if n := len(yBuf); n < 32 {
		yBuf = append(zeroByteSlice()[:32-n], yBuf...)
	}
	za.Write(xBuf)
	za.Write(yBuf)
	return za.Sum(nil)[:32], nil
}

// 32byte
func zeroByteSlice() []byte {
	return []byte{
		0, 0, 0, 0,
		0, 0, 0, 0,
		0, 0, 0, 0,
		0, 0, 0, 0,
		0, 0, 0, 0,
		0, 0, 0, 0,
		0, 0, 0, 0,
		0, 0, 0, 0,
	}
}

/*
sm2加密，返回asn.1编码格式的密文内容
*/
func EncryptAsn1(pub *PublicKey, data []byte, rand io.Reader) ([]byte, error) {
	cipher, err := Encrypt(pub, data, rand)
	if err != nil {
		return nil, err
	}
	return CipherMarshal(cipher)
}

/*
sm2解密，解析asn.1编码格式的密文内容
*/
func DecryptAsn1(pub *PrivateKey, data []byte) ([]byte, error) {
	cipher, err := CipherUnmarshal(data)
	if err != nil {
		return nil, err
	}
	return Decrypt(pub, cipher)
}

/*
*sm2密文转asn.1编码格式
*sm2密文结构如下:
*  x
*  y
*  hash
*  CipherText
 */
func CipherMarshal(data []byte) ([]byte, error) {
	data = data[1:]
	x := new(big.Int).SetBytes(data[:32])
	y := new(big.Int).SetBytes(data[32:64])
	hash := data[64:96]
	cipherText := data[96:]
	return asn1.Marshal(sm2Cipher{x, y, hash, cipherText})
}

/*
sm2密文asn.1编码格式转C1|C3|C2拼接格式
*/
func CipherUnmarshal(data []byte) ([]byte, error) {
	var cipher sm2Cipher
	_, err := asn1.Unmarshal(data, &cipher)
	if err != nil {
		return nil, err
	}
	x := cipher.XCoordinate.Bytes()
	y := cipher.YCoordinate.Bytes()
	hash := cipher.HASH
	if err != nil {
		return nil, err
	}
	cipherText := cipher.CipherText
	if err != nil {
		return nil, err
	}
	c := []byte{}
	c = append(c, x...)          // x分量
	c = append(c, y...)          // y分
	c = append(c, hash...)       // x分量
	c = append(c, cipherText...) // y分
	return append([]byte{0x04}, c...), nil
}

// keXHat 计算 x = 2^w + (x & (2^w-1))
// 密钥协商算法辅助函数
func keXHat(x *big.Int) (xul *big.Int) {
	buf := x.Bytes()
	for i := 0; i < len(buf)-16; i++ {
		buf[i] = 0
	}
	if len(buf) >= 16 {
		c := buf[len(buf)-16]
		buf[len(buf)-16] = c & 0x7f
	}

	r := new(big.Int).SetBytes(buf)
	_2w := new(big.Int).SetBytes([]byte{
		0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
		0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00})
	return r.Add(r, _2w)
}

func BytesCombine(pBytes ...[]byte) []byte {
	len := len(pBytes)
	s := make([][]byte, len)
	for index := 0; index < len; index++ {
		s[index] = pBytes[index]
	}
	sep := []byte("")
	return bytes.Join(s, sep)
}

func intToBytes(x int) []byte {
	var buf = make([]byte, 4)

	binary.BigEndian.PutUint32(buf, uint32(x))
	return buf
}

func kdf(length int, x ...[]byte) ([]byte, bool) {
	var c []byte

	ct := 1
	h := sm3.New()
	for i, j := 0, (length+31)/32; i < j; i++ {
		h.Reset()
		for _, xx := range x {
			h.Write(xx)
		}
		h.Write(intToBytes(ct))
		hash := h.Sum(nil)
		if i+1 == j && length%32 != 0 {
			c = append(c, hash[:length%32]...)
		} else {
			c = append(c, hash...)
		}
		ct++
	}
	for i := 0; i < length; i++ {
		if c[i] != 0 {
			return c, true
		}
	}
	return c, false
}

func randFieldElement(c elliptic.Curve, random io.Reader) (k *big.Int, err error) {
	if random == nil {
		random = rand.Reader //If there is no external trusted random source,please use rand.Reader to instead of it.
	}
	params := c.Params()
	b := make([]byte, params.BitSize/8+8)
	_, err = io.ReadFull(random, b)
	if err != nil {
		return
	}
	k = new(big.Int).SetBytes(b)
	n := new(big.Int).Sub(params.N, one)
	k.Mod(k, n)
	k.Add(k, one)
	return
}

func GenerateKey(random io.Reader) (*PrivateKey, error) {
	c := P256Sm2()
	if random == nil {
		random = rand.Reader //If there is no external trusted random source,please use rand.Reader to instead of it.
	}
	params := c.Params()
	b := make([]byte, params.BitSize/8+8)
	_, err := io.ReadFull(random, b)
	if err != nil {
		return nil, err
	}

	k := new(big.Int).SetBytes(b)
	n := new(big.Int).Sub(params.N, two)
	k.Mod(k, n)
	k.Add(k, one)
	priv := new(PrivateKey)
	priv.PublicKey.Curve = c
	priv.D = k
	priv.PublicKey.X, priv.PublicKey.Y = c.ScalarBaseMult(k.Bytes())

	return priv, nil
}

type zr struct {
	io.Reader
}

func (z *zr) Read(dst []byte) (n int, err error) {
	for i := range dst {
		dst[i] = 0
	}
	return len(dst), nil
}

var zeroReader = &zr{}

func getLastBit(a *big.Int) uint {
	return a.Bit(0)
}

// crypto.Decrypter
func (priv *PrivateKey) Decrypt(_ io.Reader, msg []byte, _ crypto.DecrypterOpts) (plaintext []byte, err error){
	return Decrypt(priv, msg)
}