init: v1.0.0
This commit is contained in:
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package sm2
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// sm2_golib implement the go-stdlib style sm2 Signer and verifier.
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// Notice: the original Sign and Verify is replaced by
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// func Sign() ==> func SignWithReader()
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// func Verify() ==> func VerifyWithRS()
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import (
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"crypto"
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"crypto/aes"
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"crypto/cipher"
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"crypto/ecdsa"
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"crypto/elliptic"
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"crypto/rand"
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"crypto/sha512"
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"errors"
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"io"
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"math/big"
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"golang.org/x/crypto/cryptobyte"
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"golang.org/x/crypto/cryptobyte/asn1"
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"xdx.jelly/xgcl/gerrors"
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"xdx.jelly/xgcl/internal/randutil"
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)
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// SM2.PublicKey(PrivateKey) and ecdsa.PublicKey(PrivateKey) is essentially the same.
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// But we need a transform between them, to call their methods.
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// Note the underlying data are shared.
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func (pub *PublicKey) ViewFrom(ecPub *ecdsa.PublicKey) *PublicKey {
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return pub.From(ecPub)
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}
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func (pub *PublicKey) From(ecPub *ecdsa.PublicKey) *PublicKey {
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if ecPub == nil {
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return nil
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}
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pub.Curve = ecPub.Curve
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pub.X = ecPub.X
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pub.Y = ecPub.Y
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return pub
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}
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func (pub *PublicKey) View() *ecdsa.PublicKey {
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return pub.Into()
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}
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func (pub *PublicKey) Into() *ecdsa.PublicKey {
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return &ecdsa.PublicKey{
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Curve: pub.Curve,
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X: pub.X,
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Y: pub.Y,
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}
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}
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func (pri *PrivateKey) ViewFrom(ecPri *ecdsa.PrivateKey) *PrivateKey {
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return pri.From(ecPri)
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}
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func (pri *PrivateKey) From(ecPri *ecdsa.PrivateKey) *PrivateKey {
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if ecPri == nil {
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return nil
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}
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pri.PublicKey.Curve = ecPri.PublicKey.Curve
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pri.PublicKey.X = ecPri.PublicKey.X
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pri.PublicKey.Y = ecPri.PublicKey.Y
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pri.D = ecPri.D
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return pri
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}
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func (pri *PrivateKey) View() *ecdsa.PrivateKey {
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return pri.Into()
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}
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func (pri *PrivateKey) Into() *ecdsa.PrivateKey {
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return &ecdsa.PrivateKey{
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PublicKey: ecdsa.PublicKey{
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Curve: pri.Curve,
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X: pri.X,
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Y: pri.Y,
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},
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D: pri.D,
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}
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}
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// A invertible implements fast inverse mod Curve.Params().N
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type invertible interface {
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// Inverse returns the inverse of k in GF(P)
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Inverse(k *big.Int) *big.Int
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}
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// combinedMult implements fast multiplication S1*g + S2*p (g - generator, p - arbitrary point)
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type combinedMult interface {
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CombinedMult(bigX, bigY *big.Int, baseScalar, scalar []byte) (x, y *big.Int)
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}
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// Any methods implemented on PublicKey might need to also be implemented on
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// PrivateKey, as the latter embeds the former and will expose its methods.
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// Equal reports whether pub and x have the same value.
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//
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// Two keys are only considered to have the same value if they have the same Curve value.
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// Note that for example elliptic.P256() and elliptic.P256().Params() are different
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// values, as the latter is a generic not constant time implementation.
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func (pub *PublicKey) Equal(x crypto.PublicKey) bool {
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xx, ok := x.(*PublicKey)
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if !ok {
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return false
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}
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return pub.X.Cmp(xx.X) == 0 && pub.Y.Cmp(xx.Y) == 0 &&
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// Standard library Curve implementations are singletons, so this check
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// will work for those. Other Curves might be equivalent even if not
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// singletons, but there is no definitive way to check for that, and
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// better to err on the side of safety.
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pub.Curve == xx.Curve
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}
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// randFieldElement returns a random element of the field underlying the given
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// curve using the procedure given in [NSA] A.2.1.
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func randFieldElement(c elliptic.Curve, r io.Reader) (k *big.Int, err error) {
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params := c.Params()
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for {
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k, err = rand.Int(r, params.N)
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if err != nil || k.Sign() != 0 {
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return k, err
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}
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}
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}
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// GenerateKey generates a public and private key pair.
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func GenerateKey(c elliptic.Curve, rand io.Reader) (*PrivateKey, error) {
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if c != Curve() {
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return nil, gerrors.WithAnnotating(ErrInvalidCurve, "input curve is not sm2 curve")
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}
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k, err := randFieldElement(c, rand)
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if err != nil {
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return nil, err
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}
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priv := new(PrivateKey)
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priv.PublicKey.Curve = c
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priv.D = k
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priv.PublicKey.X, priv.PublicKey.Y = c.ScalarBaseMult(k.Bytes())
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return priv, nil
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}
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// Public returns the public key corresponding to priv.
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func (priv *PrivateKey) Public() crypto.PublicKey {
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if priv.PublicKey.X == nil {
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x, y := Curve().ScalarBaseMult(priv.D.Bytes())
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priv.PublicKey = PublicKey{Curve: Curve(), X: x, Y: y}
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}
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return &priv.PublicKey
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}
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// Equal reports whether priv and x have the same value.
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//
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// See PublicKey.Equal for details on how Curve is compared.
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func (priv *PrivateKey) Equal(x crypto.PrivateKey) bool {
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xx, ok := x.(*PrivateKey)
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if !ok {
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return false
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}
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return priv.PublicKey.Equal(&xx.PublicKey) && priv.D.Cmp(xx.D) == 0
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}
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// Sign signs digest with priv, reading randomness from rand. The opts argument
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// is not currently used but, in keeping with the crypto.Signer interface,
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// should be the hash function used to digest the message.
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//
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// This method implements crypto.Signer, which is an interface to support keys
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// where the private part is kept in, for example, a hardware module. Common
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// uses should use the Sign function in this package directly.
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func (priv *PrivateKey) Sign(rand io.Reader, digest []byte, opts crypto.SignerOpts) ([]byte, error) {
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r, s, err := SignWithReader(rand, priv, digest)
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if err != nil {
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return nil, err
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}
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var b cryptobyte.Builder
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b.AddASN1(asn1.SEQUENCE, func(b *cryptobyte.Builder) {
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b.AddASN1BigInt(r)
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b.AddASN1BigInt(s)
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})
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return b.Bytes()
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}
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// This method implements crypto.Decrypter.
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// msg 应该是sm2使用规范中的密文结构
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func (priv *PrivateKey) Decrypt(rand io.Reader, msg []byte, opts crypto.DecrypterOpts) (plaintext []byte, err error) {
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var cipher Cipher
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_, err = cipher.UnmarshalASN1(msg)
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if err != nil {
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return nil, err
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}
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return Decrypt(priv, &cipher)
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}
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// hashToInt converts a hash value to an integer. There is some disagreement
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// about how this is done. [NSA] suggests that this is done in the obvious
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// manner, but [SECG] truncates the hash to the bit-length of the curve order
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// first. We follow [SECG] because that's what OpenSSL does. Additionally,
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// OpenSSL right shifts excess bits from the number if the hash is too large
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// and we mirror that too.
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func hashToInt(hash []byte, c elliptic.Curve) *big.Int {
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orderBits := c.Params().N.BitLen()
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orderBytes := (orderBits + 7) / 8
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if len(hash) > orderBytes {
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hash = hash[:orderBytes]
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}
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ret := new(big.Int).SetBytes(hash)
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excess := len(hash)*8 - orderBits
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if excess > 0 {
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ret.Rsh(ret, uint(excess))
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}
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return ret
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}
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var errZeroParam = errors.New("zero parameter")
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const (
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aesIV = "IV for ECDSA CTR"
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)
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// SignWithReader signs a hash (which should be the result of hashing a larger message)
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// using the private key, priv. If the hash is longer than the bit-length of the
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// private key's curve order, the hash will be truncated to that length. It
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// returns the signature as a pair of integers. The security of the private key
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// depends on the entropy of rand.
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//
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// It's the same of Sign in stdlib
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func SignWithReader(rand io.Reader, priv *PrivateKey, hash []byte) (r, s *big.Int, err error) {
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randutil.MaybeReadByte(rand)
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// Get min(log2(q) / 2, 256) bits of entropy from rand.
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entropylen := (priv.Curve.Params().BitSize + 7) / 16
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if entropylen > 32 {
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entropylen = 32
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}
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entropy := make([]byte, entropylen)
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_, err = io.ReadFull(rand, entropy)
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if err != nil {
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return
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}
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// Initialize an SHA-512 hash context; digest ...
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md := sha512.New()
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md.Write(priv.D.Bytes()) // the private key,
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md.Write(entropy) // the entropy,
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md.Write(hash) // and the input hash;
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key := md.Sum(nil)[:32] // and compute ChopMD-256(SHA-512),
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// which is an indifferentiable MAC.
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// Create an AES-CTR instance to use as a CSPRNG.
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block, err := aes.NewCipher(key)
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if err != nil {
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return nil, nil, err
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}
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// Create a CSPRNG that xors a stream of zeros with
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// the output of the AES-CTR instance.
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csprng := cipher.StreamReader{
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R: zeroReader,
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S: cipher.NewCTR(block, []byte(aesIV)),
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}
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// See [NSA] 3.4.1
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c := priv.PublicKey.Curve
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return sign(priv, &csprng, c, hash)
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}
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func signGeneric(priv *PrivateKey, csprng *cipher.StreamReader, c elliptic.Curve, hash []byte) (r, s *big.Int, err error) {
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N := c.Params().N
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if N.Sign() == 0 {
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return nil, nil, errZeroParam
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}
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var k *big.Int
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e := hashToInt(hash, c)
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for {
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for {
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k, err = randFieldElement(c, *csprng)
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if err != nil {
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r = nil
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return
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}
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r, _ = priv.Curve.ScalarBaseMult(k.Bytes())
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r.Add(r, e)
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r.Mod(r, N)
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if r.Sign() != 0 {
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break
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}
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}
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s = new(big.Int).Add(priv.D, one) // s = (k-rd)/(1+d)=(k+r)/(1+d) - r
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if in, ok := priv.Curve.(invertible); ok {
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s = in.Inverse(s)
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} else {
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fermatInverse(s, N) // N != 0
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}
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k.Add(k, r)
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s.Mul(s, k)
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s.Sub(s, r)
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s.Mod(s, N) // N != 0
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if s.Sign() != 0 {
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break
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}
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}
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return
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}
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// SignASN1 signs a hash (which should be the result of hashing a larger message)
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// using the private key, priv. If the hash is longer than the bit-length of the
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// private key's curve order, the hash will be truncated to that length. It
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// returns the ASN.1 encoded signature. The security of the private key
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// depends on the entropy of rand.
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func SignASN1(rand io.Reader, priv *PrivateKey, hash []byte) ([]byte, error) {
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return priv.Sign(rand, hash, nil)
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}
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// Verify verifies the signature in r, s of hash using the public key, pub. Its
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// return value records whether the signature is valid.
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func VerifyWithRS(pub *PublicKey, hash []byte, r, s *big.Int) bool {
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// See [NSA] 3.4.2
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c := pub.Curve
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N := c.Params().N
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if r.Sign() <= 0 || s.Sign() <= 0 {
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return false
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}
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if r.Cmp(N) >= 0 || s.Cmp(N) >= 0 {
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return false
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}
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return verify(pub, c, hash, r, s)
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}
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func verifyGeneric(pub *PublicKey, c elliptic.Curve, hash []byte, r, s *big.Int) bool {
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e := hashToInt(hash, c)
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N := c.Params().N
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t := new(big.Int).Add(r, s)
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// Check if implements S1*g + S2*p
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var x, y *big.Int
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if opt, ok := c.(combinedMult); ok {
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x, y = opt.CombinedMult(pub.X, pub.Y, s.Bytes(), t.Bytes())
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} else {
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x1, y1 := c.ScalarBaseMult(s.Bytes())
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x2, y2 := c.ScalarMult(pub.X, pub.Y, t.Bytes())
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x, y = c.Add(x1, y1, x2, y2)
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}
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x.Add(e, x)
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x.Mod(x, N)
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if x.Sign() == 0 && y.Sign() == 0 {
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return false
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}
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return x.Cmp(r) == 0
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}
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// VerifyASN1 verifies the ASN.1 encoded signature, sig, of hash using the
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// public key, pub. Its return value records whether the signature is valid.
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func VerifyASN1(pub *PublicKey, hash, sig []byte) bool {
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var (
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r, s = &big.Int{}, &big.Int{}
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inner cryptobyte.String
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)
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input := cryptobyte.String(sig)
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if !input.ReadASN1(&inner, asn1.SEQUENCE) ||
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!input.Empty() ||
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!inner.ReadASN1Integer(r) ||
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!inner.ReadASN1Integer(s) ||
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!inner.Empty() {
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return false
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}
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return VerifyWithRS(pub, hash, r, s)
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}
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type zr struct {
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io.Reader
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}
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// Read replaces the contents of dst with zeros.
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func (z *zr) Read(dst []byte) (n int, err error) {
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for i := range dst {
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dst[i] = 0
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}
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return len(dst), nil
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}
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var zeroReader = &zr{}
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