signature=083a9b2eea41d2a97135c0c36b37a806,btcd/signature_test.go at master · btcsuite/btcd · GitHub...
// Copyright (c) 2013-2017 The btcsuite developers
// Use of this source code is governed by an ISC
// license that can be found in the LICENSE file.
package btcec
import (
"bytes"
"crypto/rand"
"crypto/sha256"
"encoding/hex"
"fmt"
"math/big"
"reflect"
"testing"
)
type signatureTest struct {
name string
sig []byte
der bool
isValid bool
}
// decodeHex decodes the passed hex string and returns the resulting bytes. It
// panics if an error occurs. This is only used in the tests as a helper since
// the only way it can fail is if there is an error in the test source code.
func decodeHex(hexStr string) []byte {
b, err := hex.DecodeString(hexStr)
if err != nil {
panic("invalid hex string in test source: err " + err.Error() +
", hex: " + hexStr)
}
return b
}
var signatureTests = []signatureTest{
// signatures from bitcoin blockchain tx
// 0437cd7f8525ceed2324359c2d0ba26006d92d85
{
name: "valid signature.",
sig: []byte{0x30, 0x44, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69,
0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1,
0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6,
0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd,
0x41, 0x02, 0x20, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca,
0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90,
0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22,
0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09,
},
der: true,
isValid: true,
},
{
name: "empty.",
sig: []byte{},
isValid: false,
},
{
name: "bad magic.",
sig: []byte{0x31, 0x44, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69,
0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1,
0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6,
0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd,
0x41, 0x02, 0x20, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca,
0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90,
0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22,
0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09,
},
der: true,
isValid: false,
},
{
name: "bad 1st int marker magic.",
sig: []byte{0x30, 0x44, 0x03, 0x20, 0x4e, 0x45, 0xe1, 0x69,
0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1,
0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6,
0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd,
0x41, 0x02, 0x20, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca,
0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90,
0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22,
0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09,
},
der: true,
isValid: false,
},
{
name: "bad 2nd int marker.",
sig: []byte{0x30, 0x44, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69,
0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1,
0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6,
0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd,
0x41, 0x03, 0x20, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca,
0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90,
0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22,
0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09,
},
der: true,
isValid: false,
},
{
name: "short len",
sig: []byte{0x30, 0x43, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69,
0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1,
0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6,
0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd,
0x41, 0x02, 0x20, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca,
0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90,
0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22,
0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09,
},
der: true,
isValid: false,
},
{
name: "invalid message length",
sig: []byte{0x30, 0x00, 0x02, 0x01, 0x00, 0x02, 0x01, 0x00},
der: false,
isValid: false,
},
{
name: "long len",
sig: []byte{0x30, 0x45, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69,
0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1,
0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6,
0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd,
0x41, 0x02, 0x20, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca,
0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90,
0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22,
0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09,
},
der: true,
isValid: false,
},
{
name: "long X",
sig: []byte{0x30, 0x44, 0x02, 0x42, 0x4e, 0x45, 0xe1, 0x69,
0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1,
0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6,
0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd,
0x41, 0x02, 0x20, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca,
0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90,
0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22,
0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09,
},
der: true,
isValid: false,
},
{
name: "long Y",
sig: []byte{0x30, 0x44, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69,
0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1,
0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6,
0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd,
0x41, 0x02, 0x21, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca,
0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90,
0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22,
0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09,
},
der: true,
isValid: false,
},
{
name: "short Y",
sig: []byte{0x30, 0x44, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69,
0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1,
0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6,
0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd,
0x41, 0x02, 0x19, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca,
0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90,
0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22,
0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09,
},
der: true,
isValid: false,
},
{
name: "trailing crap.",
sig: []byte{0x30, 0x44, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69,
0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1,
0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6,
0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd,
0x41, 0x02, 0x20, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca,
0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90,
0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22,
0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09, 0x01,
},
der: true,
// This test is now passing (used to be failing) because there
// are signatures in the blockchain that have trailing zero
// bytes before the hashtype. So ParseSignature was fixed to
// permit buffers with trailing nonsense after the actual
// signature.
isValid: true,
},
{
name: "X == N ",
sig: []byte{0x30, 0x44, 0x02, 0x20, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFE, 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48,
0xA0, 0x3B, 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41,
0x41, 0x02, 0x20, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca,
0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90,
0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22,
0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09,
},
der: true,
isValid: false,
},
{
name: "X == N ",
sig: []byte{0x30, 0x44, 0x02, 0x20, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFE, 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48,
0xA0, 0x3B, 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41,
0x42, 0x02, 0x20, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca,
0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90,
0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22,
0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09,
},
der: false,
isValid: false,
},
{
name: "Y == N",
sig: []byte{0x30, 0x44, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69,
0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1,
0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6,
0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd,
0x41, 0x02, 0x20, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFE, 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, 0xA0, 0x3B,
0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, 0x41,
},
der: true,
isValid: false,
},
{
name: "Y > N",
sig: []byte{0x30, 0x44, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69,
0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1,
0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6,
0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd,
0x41, 0x02, 0x20, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFE, 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, 0xA0, 0x3B,
0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, 0x42,
},
der: false,
isValid: false,
},
{
name: "0 len X.",
sig: []byte{0x30, 0x24, 0x02, 0x00, 0x02, 0x20, 0x18, 0x15,
0x22, 0xec, 0x8e, 0xca, 0x07, 0xde, 0x48, 0x60, 0xa4,
0xac, 0xdd, 0x12, 0x90, 0x9d, 0x83, 0x1c, 0xc5, 0x6c,
0xbb, 0xac, 0x46, 0x22, 0x08, 0x22, 0x21, 0xa8, 0x76,
0x8d, 0x1d, 0x09,
},
der: true,
isValid: false,
},
{
name: "0 len Y.",
sig: []byte{0x30, 0x24, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69,
0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1,
0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6,
0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd,
0x41, 0x02, 0x00,
},
der: true,
isValid: false,
},
{
name: "extra R padding.",
sig: []byte{0x30, 0x45, 0x02, 0x21, 0x00, 0x4e, 0x45, 0xe1, 0x69,
0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1,
0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6,
0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd,
0x41, 0x02, 0x20, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca,
0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90,
0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22,
0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09,
},
der: true,
isValid: false,
},
{
name: "extra S padding.",
sig: []byte{0x30, 0x45, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69,
0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1,
0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6,
0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd,
0x41, 0x02, 0x21, 0x00, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca,
0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90,
0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22,
0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09,
},
der: true,
isValid: false,
},
// Standard checks (in BER format, without checking for 'canonical' DER
// signatures) don't test for negative numbers here because there isn't
// a way that is the same between openssl and go that will mark a number
// as negative. The Go ASN.1 parser marks numbers as negative when
// openssl does not (it doesn't handle negative numbers that I can tell
// at all. When not parsing DER signatures, which is done by by bitcoind
// when accepting transactions into its mempool, we otherwise only check
// for the coordinates being zero.
{
name: "X == 0",
sig: []byte{0x30, 0x25, 0x02, 0x01, 0x00, 0x02, 0x20, 0x18,
0x15, 0x22, 0xec, 0x8e, 0xca, 0x07, 0xde, 0x48, 0x60,
0xa4, 0xac, 0xdd, 0x12, 0x90, 0x9d, 0x83, 0x1c, 0xc5,
0x6c, 0xbb, 0xac, 0x46, 0x22, 0x08, 0x22, 0x21, 0xa8,
0x76, 0x8d, 0x1d, 0x09,
},
der: false,
isValid: false,
},
{
name: "Y == 0.",
sig: []byte{0x30, 0x25, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69,
0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1,
0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6,
0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd,
0x41, 0x02, 0x01, 0x00,
},
der: false,
isValid: false,
},
}
func TestSignatures(t *testing.T) {
for _, test := range signatureTests {
var err error
if test.der {
_, err = ParseDERSignature(test.sig, S256())
} else {
_, err = ParseSignature(test.sig, S256())
}
if err != nil {
if test.isValid {
t.Errorf("%s signature failed when shouldn't %v",
test.name, err)
} /* else {
t.Errorf("%s got error %v", test.name, err)
} */
continue
}
if !test.isValid {
t.Errorf("%s counted as valid when it should fail",
test.name)
}
}
}
// TestSignatureSerialize ensures that serializing signatures works as expected.
func TestSignatureSerialize(t *testing.T) {
tests := []struct {
name string
ecsig *Signature
expected []byte
}{
// signature from bitcoin blockchain tx
// 0437cd7f8525ceed2324359c2d0ba26006d92d85
{
"valid 1 - r and s most significant bits are zero",
&Signature{
R: fromHex("4e45e16932b8af514961a1d3a1a25fdf3f4f7732e9d624c6c61548ab5fb8cd41"),
S: fromHex("181522ec8eca07de4860a4acdd12909d831cc56cbbac4622082221a8768d1d09"),
},
[]byte{
0x30, 0x44, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69,
0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3,
0xa1, 0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32,
0xe9, 0xd6, 0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab,
0x5f, 0xb8, 0xcd, 0x41, 0x02, 0x20, 0x18, 0x15,
0x22, 0xec, 0x8e, 0xca, 0x07, 0xde, 0x48, 0x60,
0xa4, 0xac, 0xdd, 0x12, 0x90, 0x9d, 0x83, 0x1c,
0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22, 0x08, 0x22,
0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09,
},
},
// signature from bitcoin blockchain tx
// cb00f8a0573b18faa8c4f467b049f5d202bf1101d9ef2633bc611be70376a4b4
{
"valid 2 - r most significant bit is one",
&Signature{
R: fromHex("0082235e21a2300022738dabb8e1bbd9d19cfb1e7ab8c30a23b0afbb8d178abcf3"),
S: fromHex("24bf68e256c534ddfaf966bf908deb944305596f7bdcc38d69acad7f9c868724"),
},
[]byte{
0x30, 0x45, 0x02, 0x21, 0x00, 0x82, 0x23, 0x5e,
0x21, 0xa2, 0x30, 0x00, 0x22, 0x73, 0x8d, 0xab,
0xb8, 0xe1, 0xbb, 0xd9, 0xd1, 0x9c, 0xfb, 0x1e,
0x7a, 0xb8, 0xc3, 0x0a, 0x23, 0xb0, 0xaf, 0xbb,
0x8d, 0x17, 0x8a, 0xbc, 0xf3, 0x02, 0x20, 0x24,
0xbf, 0x68, 0xe2, 0x56, 0xc5, 0x34, 0xdd, 0xfa,
0xf9, 0x66, 0xbf, 0x90, 0x8d, 0xeb, 0x94, 0x43,
0x05, 0x59, 0x6f, 0x7b, 0xdc, 0xc3, 0x8d, 0x69,
0xac, 0xad, 0x7f, 0x9c, 0x86, 0x87, 0x24,
},
},
// signature from bitcoin blockchain tx
// fda204502a3345e08afd6af27377c052e77f1fefeaeb31bdd45f1e1237ca5470
{
"valid 3 - s most significant bit is one",
&Signature{
R: fromHex("1cadddc2838598fee7dc35a12b340c6bde8b389f7bfd19a1252a17c4b5ed2d71"),
S: new(big.Int).Add(fromHex("00c1a251bbecb14b058a8bd77f65de87e51c47e95904f4c0e9d52eddc21c1415ac"), S256().N),
},
[]byte{
0x30, 0x45, 0x02, 0x20, 0x1c, 0xad, 0xdd, 0xc2,
0x83, 0x85, 0x98, 0xfe, 0xe7, 0xdc, 0x35, 0xa1,
0x2b, 0x34, 0x0c, 0x6b, 0xde, 0x8b, 0x38, 0x9f,
0x7b, 0xfd, 0x19, 0xa1, 0x25, 0x2a, 0x17, 0xc4,
0xb5, 0xed, 0x2d, 0x71, 0x02, 0x21, 0x00, 0xc1,
0xa2, 0x51, 0xbb, 0xec, 0xb1, 0x4b, 0x05, 0x8a,
0x8b, 0xd7, 0x7f, 0x65, 0xde, 0x87, 0xe5, 0x1c,
0x47, 0xe9, 0x59, 0x04, 0xf4, 0xc0, 0xe9, 0xd5,
0x2e, 0xdd, 0xc2, 0x1c, 0x14, 0x15, 0xac,
},
},
{
"valid 4 - s is bigger than half order",
&Signature{
R: fromHex("a196ed0e7ebcbe7b63fe1d8eecbdbde03a67ceba4fc8f6482bdcb9606a911404"),
S: fromHex("971729c7fa944b465b35250c6570a2f31acbb14b13d1565fab7330dcb2b3dfb1"),
},
[]byte{
0x30, 0x45, 0x02, 0x21, 0x00, 0xa1, 0x96, 0xed,
0x0e, 0x7e, 0xbc, 0xbe, 0x7b, 0x63, 0xfe, 0x1d,
0x8e, 0xec, 0xbd, 0xbd, 0xe0, 0x3a, 0x67, 0xce,
0xba, 0x4f, 0xc8, 0xf6, 0x48, 0x2b, 0xdc, 0xb9,
0x60, 0x6a, 0x91, 0x14, 0x04, 0x02, 0x20, 0x68,
0xe8, 0xd6, 0x38, 0x05, 0x6b, 0xb4, 0xb9, 0xa4,
0xca, 0xda, 0xf3, 0x9a, 0x8f, 0x5d, 0x0b, 0x9f,
0xe3, 0x2b, 0x9b, 0x9b, 0x77, 0x49, 0xdc, 0x14,
0x5f, 0x2d, 0xb0, 0x1d, 0x82, 0x61, 0x90,
},
},
{
"zero signature",
&Signature{
R: big.NewInt(0),
S: big.NewInt(0),
},
[]byte{0x30, 0x06, 0x02, 0x01, 0x00, 0x02, 0x01, 0x00},
},
}
for i, test := range tests {
result := test.ecsig.Serialize()
if !bytes.Equal(result, test.expected) {
t.Errorf("Serialize #%d (%s) unexpected result:\n"+
"got: %x\nwant: %x", i, test.name, result,
test.expected)
}
}
}
func testSignCompact(t *testing.T, tag string, curve *KoblitzCurve,
data []byte, isCompressed bool) {
priv, _ := NewPrivateKey(curve)
hashed := []byte("testing")
sig, err := SignCompact(curve, priv, hashed, isCompressed)
if err != nil {
t.Errorf("%s: error signing: %s", tag, err)
return
}
pk, wasCompressed, err := RecoverCompact(curve, sig, hashed)
if err != nil {
t.Errorf("%s: error recovering: %s", tag, err)
return
}
if pk.X.Cmp(priv.X) != 0 || pk.Y.Cmp(priv.Y) != 0 {
t.Errorf("%s: recovered pubkey doesn't match original "+
"(%v,%v) vs (%v,%v) ", tag, pk.X, pk.Y, priv.X, priv.Y)
return
}
if wasCompressed != isCompressed {
t.Errorf("%s: recovered pubkey doesn't match compressed state "+
"(%v vs %v)", tag, isCompressed, wasCompressed)
return
}
// If we change the compressed bit we should get the same key back,
// but the compressed flag should be reversed.
if isCompressed {
sig[0] -= 4
} else {
sig[0] += 4
}
pk, wasCompressed, err = RecoverCompact(curve, sig, hashed)
if err != nil {
t.Errorf("%s: error recovering (2): %s", tag, err)
return
}
if pk.X.Cmp(priv.X) != 0 || pk.Y.Cmp(priv.Y) != 0 {
t.Errorf("%s: recovered pubkey (2) doesn't match original "+
"(%v,%v) vs (%v,%v) ", tag, pk.X, pk.Y, priv.X, priv.Y)
return
}
if wasCompressed == isCompressed {
t.Errorf("%s: recovered pubkey doesn't match reversed "+
"compressed state (%v vs %v)", tag, isCompressed,
wasCompressed)
return
}
}
func TestSignCompact(t *testing.T) {
for i := 0; i < 256; i++ {
name := fmt.Sprintf("test %d", i)
data := make([]byte, 32)
_, err := rand.Read(data)
if err != nil {
t.Errorf("failed to read random data for %s", name)
continue
}
compressed := i%2 != 0
testSignCompact(t, name, S256(), data, compressed)
}
}
// recoveryTests assert basic tests for public key recovery from signatures.
// The cases are borrowed from github.com/fjl/btcec-issue.
var recoveryTests = []struct {
msg string
sig string
pub string
err error
}{
{
// Valid curve point recovered.
msg: "ce0677bb30baa8cf067c88db9811f4333d131bf8bcf12fe7065d211dce971008",
sig: "0190f27b8b488db00b00606796d2987f6a5f59ae62ea05effe84fef5b8b0e549984a691139ad57a3f0b906637673aa2f63d1f55cb1a69199d4009eea23ceaddc93",
pub: "04E32DF42865E97135ACFB65F3BAE71BDC86F4D49150AD6A440B6F15878109880A0A2B2667F7E725CEEA70C673093BF67663E0312623C8E091B13CF2C0F11EF652",
},
{
// Invalid curve point recovered.
msg: "00c547e4f7b0f325ad1e56f57e26c745b09a3e503d86e00e5255ff7f715d3d1c",
sig: "0100b1693892219d736caba55bdb67216e485557ea6b6af75f37096c9aa6a5a75f00b940b1d03b21e36b0e47e79769f095fe2ab855bd91e3a38756b7d75a9c4549",
err: fmt.Errorf("invalid square root"),
},
{
// Low R and S values.
msg: "ba09edc1275a285fb27bfe82c4eea240a907a0dbaf9e55764b8f318c37d5974f",
sig: "00000000000000000000000000000000000000000000000000000000000000002c0000000000000000000000000000000000000000000000000000000000000004",
pub: "04A7640409AA2083FDAD38B2D8DE1263B2251799591D840653FB02DBBA503D7745FCB83D80E08A1E02896BE691EA6AFFB8A35939A646F1FC79052A744B1C82EDC3",
},
{
// Zero R value
//
// Test case contributed by Ethereum Swarm: GH-1651
msg: "3060d2c77c1e192d62ad712fb400e04e6f779914a6876328ff3b213fa85d2012",
sig: "65000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000037a3",
err: fmt.Errorf("signature R is 0"),
},
{
// Zero R value
//
// Test case contributed by Ethereum Swarm: GH-1651
msg: "2bcebac60d8a78e520ae81c2ad586792df495ed429bd730dcd897b301932d054",
sig: "060000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007c",
err: fmt.Errorf("signature R is 0"),
},
{
// R = N (curve order of secp256k1)
msg: "2bcebac60d8a78e520ae81c2ad586792df495ed429bd730dcd897b301932d054",
sig: "65fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd036414100000000000000000000000000000000000000000000000000000000000037a3",
err: fmt.Errorf("signature R is >= curve order"),
},
{
// Zero S value
msg: "ce0677bb30baa8cf067c88db9811f4333d131bf8bcf12fe7065d211dce971008",
sig: "0190f27b8b488db00b00606796d2987f6a5f59ae62ea05effe84fef5b8b0e549980000000000000000000000000000000000000000000000000000000000000000",
err: fmt.Errorf("signature S is 0"),
},
{
// S = N (curve order of secp256k1)
msg: "ce0677bb30baa8cf067c88db9811f4333d131bf8bcf12fe7065d211dce971008",
sig: "0190f27b8b488db00b00606796d2987f6a5f59ae62ea05effe84fef5b8b0e54998fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141",
err: fmt.Errorf("signature S is >= curve order"),
},
}
func TestRecoverCompact(t *testing.T) {
for i, test := range recoveryTests {
msg := decodeHex(test.msg)
sig := decodeHex(test.sig)
// Magic DER constant.
sig[0] += 27
pub, _, err := RecoverCompact(S256(), sig, msg)
// Verify that returned error matches as expected.
if !reflect.DeepEqual(test.err, err) {
t.Errorf("unexpected error returned from pubkey "+
"recovery #%d: wanted %v, got %v",
i, test.err, err)
continue
}
// If check succeeded because a proper error was returned, we
// ignore the returned pubkey.
if err != nil {
continue
}
// Otherwise, ensure the correct public key was recovered.
exPub, _ := ParsePubKey(decodeHex(test.pub), S256())
if !exPub.IsEqual(pub) {
t.Errorf("unexpected recovered public key #%d: "+
"want %v, got %v", i, exPub, pub)
}
}
}
func TestRFC6979(t *testing.T) {
// Test vectors matching Trezor and CoreBitcoin implementations.
// - https://github.com/trezor/trezor-crypto/blob/9fea8f8ab377dc514e40c6fd1f7c89a74c1d8dc6/tests.c#L432-L453
// - https://github.com/oleganza/CoreBitcoin/blob/e93dd71207861b5bf044415db5fa72405e7d8fbc/CoreBitcoin/BTCKey%2BTests.m#L23-L49
tests := []struct {
key string
msg string
nonce string
signature string
}{
{
"cca9fbcc1b41e5a95d369eaa6ddcff73b61a4efaa279cfc6567e8daa39cbaf50",
"sample",
"2df40ca70e639d89528a6b670d9d48d9165fdc0febc0974056bdce192b8e16a3",
"3045022100af340daf02cc15c8d5d08d7735dfe6b98a474ed373bdb5fbecf7571be52b384202205009fb27f37034a9b24b707b7c6b79ca23ddef9e25f7282e8a797efe53a8f124",
},
{
// This signature hits the case when S is higher than halforder.
// If S is not canonicalized (lowered by halforder), this test will fail.
"0000000000000000000000000000000000000000000000000000000000000001",
"Satoshi Nakamoto",
"8f8a276c19f4149656b280621e358cce24f5f52542772691ee69063b74f15d15",
"3045022100934b1ea10a4b3c1757e2b0c017d0b6143ce3c9a7e6a4a49860d7a6ab210ee3d802202442ce9d2b916064108014783e923ec36b49743e2ffa1c4496f01a512aafd9e5",
},
{
"fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364140",
"Satoshi Nakamoto",
"33a19b60e25fb6f4435af53a3d42d493644827367e6453928554f43e49aa6f90",
"3045022100fd567d121db66e382991534ada77a6bd3106f0a1098c231e47993447cd6af2d002206b39cd0eb1bc8603e159ef5c20a5c8ad685a45b06ce9bebed3f153d10d93bed5",
},
{
"f8b8af8ce3c7cca5e300d33939540c10d45ce001b8f252bfbc57ba0342904181",
"Alan Turing",
"525a82b70e67874398067543fd84c83d30c175fdc45fdeee082fe13b1d7cfdf1",
"304402207063ae83e7f62bbb171798131b4a0564b956930092b33b07b395615d9ec7e15c022058dfcc1e00a35e1572f366ffe34ba0fc47db1e7189759b9fb233c5b05ab388ea",
},
{
"0000000000000000000000000000000000000000000000000000000000000001",
"All those moments will be lost in time, like tears in rain. Time to die...",
"38aa22d72376b4dbc472e06c3ba403ee0a394da63fc58d88686c611aba98d6b3",
"30450221008600dbd41e348fe5c9465ab92d23e3db8b98b873beecd930736488696438cb6b0220547fe64427496db33bf66019dacbf0039c04199abb0122918601db38a72cfc21",
},
{
"e91671c46231f833a6406ccbea0e3e392c76c167bac1cb013f6f1013980455c2",
"There is a computer disease that anybody who works with computers knows about. It's a very serious disease and it interferes completely with the work. The trouble with computers is that you 'play' with them!",
"1f4b84c23a86a221d233f2521be018d9318639d5b8bbd6374a8a59232d16ad3d",
"3045022100b552edd27580141f3b2a5463048cb7cd3e047b97c9f98076c32dbdf85a68718b0220279fa72dd19bfae05577e06c7c0c1900c371fcd5893f7e1d56a37d30174671f6",
},
}
for i, test := range tests {
privKey, _ := PrivKeyFromBytes(S256(), decodeHex(test.key))
hash := sha256.Sum256([]byte(test.msg))
// Ensure deterministically generated nonce is the expected value.
gotNonce := nonceRFC6979(privKey.D, hash[:]).Bytes()
wantNonce := decodeHex(test.nonce)
if !bytes.Equal(gotNonce, wantNonce) {
t.Errorf("NonceRFC6979 #%d (%s): Nonce is incorrect: "+
"%x (expected %x)", i, test.msg, gotNonce,
wantNonce)
continue
}
// Ensure deterministically generated signature is the expected value.
gotSig, err := privKey.Sign(hash[:])
if err != nil {
t.Errorf("Sign #%d (%s): unexpected error: %v", i,
test.msg, err)
continue
}
gotSigBytes := gotSig.Serialize()
wantSigBytes := decodeHex(test.signature)
if !bytes.Equal(gotSigBytes, wantSigBytes) {
t.Errorf("Sign #%d (%s): mismatched signature: %x "+
"(expected %x)", i, test.msg, gotSigBytes,
wantSigBytes)
continue
}
}
}
func TestSignatureIsEqual(t *testing.T) {
sig1 := &Signature{
R: fromHex("0082235e21a2300022738dabb8e1bbd9d19cfb1e7ab8c30a23b0afbb8d178abcf3"),
S: fromHex("24bf68e256c534ddfaf966bf908deb944305596f7bdcc38d69acad7f9c868724"),
}
sig2 := &Signature{
R: fromHex("4e45e16932b8af514961a1d3a1a25fdf3f4f7732e9d624c6c61548ab5fb8cd41"),
S: fromHex("181522ec8eca07de4860a4acdd12909d831cc56cbbac4622082221a8768d1d09"),
}
if !sig1.IsEqual(sig1) {
t.Fatalf("value of IsEqual is incorrect, %v is "+
"equal to %v", sig1, sig1)
}
if sig1.IsEqual(sig2) {
t.Fatalf("value of IsEqual is incorrect, %v is not "+
"equal to %v", sig1, sig2)
}
}