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								// Copyright 2015 Jeffrey Wilcke, Felix Lange, Gustav Simonsson. All rights reserved.
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								// Use of this source code is governed by a BSD-style license that can be found in
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								// the LICENSE file.
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								package secp256k1
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								import (
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									"bytes"
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									"crypto/ecdsa"
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									"crypto/elliptic"
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									"crypto/rand"
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									"encoding/hex"
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									"io"
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									"testing"
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								)
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								const TestCount = 1000
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								func generateKeyPair() (pubkey, privkey []byte) {
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									key, err := ecdsa.GenerateKey(S256(), rand.Reader)
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									if err != nil {
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										panic(err)
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									}
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									pubkey = elliptic.Marshal(S256(), key.X, key.Y)
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									privkey = make([]byte, 32)
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									blob := key.D.Bytes()
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									copy(privkey[32-len(blob):], blob)
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									return pubkey, privkey
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								}
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								func csprngEntropy(n int) []byte {
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									buf := make([]byte, n)
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									if _, err := io.ReadFull(rand.Reader, buf); err != nil {
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										panic("reading from crypto/rand failed: " + err.Error())
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									}
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									return buf
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								}
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								func randSig() []byte {
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									sig := csprngEntropy(65)
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									sig[32] &= 0x70
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									sig[64] %= 4
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									return sig
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								}
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								// tests for malleability
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								// highest bit of signature ECDSA s value must be 0, in the 33th byte
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								func compactSigCheck(t *testing.T, sig []byte) {
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									var b = int(sig[32])
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									if b < 0 {
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										t.Errorf("highest bit is negative: %d", b)
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									}
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									if ((b >> 7) == 1) != ((b & 0x80) == 0x80) {
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										t.Errorf("highest bit: %d bit >> 7: %d", b, b>>7)
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									}
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									if (b & 0x80) == 0x80 {
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										t.Errorf("highest bit: %d bit & 0x80: %d", b, b&0x80)
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									}
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								}
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								func TestSignatureValidity(t *testing.T) {
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									pubkey, seckey := generateKeyPair()
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									msg := csprngEntropy(32)
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									sig, err := Sign(msg, seckey)
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									if err != nil {
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										t.Errorf("signature error: %s", err)
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									}
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									compactSigCheck(t, sig)
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									if len(pubkey) != 65 {
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										t.Errorf("pubkey length mismatch: want: 65 have: %d", len(pubkey))
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									}
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									if len(seckey) != 32 {
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										t.Errorf("seckey length mismatch: want: 32 have: %d", len(seckey))
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									}
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									if len(sig) != 65 {
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										t.Errorf("sig length mismatch: want: 65 have: %d", len(sig))
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									}
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									recid := int(sig[64])
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									if recid > 4 || recid < 0 {
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										t.Errorf("sig recid mismatch: want: within 0 to 4 have: %d", int(sig[64]))
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									}
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								}
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								func TestInvalidRecoveryID(t *testing.T) {
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									_, seckey := generateKeyPair()
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									msg := csprngEntropy(32)
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									sig, _ := Sign(msg, seckey)
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									sig[64] = 99
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									_, err := RecoverPubkey(msg, sig)
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									if err != ErrInvalidRecoveryID {
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										t.Fatalf("got %q, want %q", err, ErrInvalidRecoveryID)
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									}
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								}
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								func TestSignAndRecover(t *testing.T) {
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									pubkey1, seckey := generateKeyPair()
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									msg := csprngEntropy(32)
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									sig, err := Sign(msg, seckey)
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									if err != nil {
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										t.Errorf("signature error: %s", err)
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									}
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									pubkey2, err := RecoverPubkey(msg, sig)
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									if err != nil {
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										t.Errorf("recover error: %s", err)
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									}
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									if !bytes.Equal(pubkey1, pubkey2) {
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										t.Errorf("pubkey mismatch: want: %x have: %x", pubkey1, pubkey2)
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									}
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								}
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								func TestSignDeterministic(t *testing.T) {
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									_, seckey := generateKeyPair()
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									msg := make([]byte, 32)
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									copy(msg, "hi there")
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									sig1, err := Sign(msg, seckey)
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									if err != nil {
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										t.Fatal(err)
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									}
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									sig2, err := Sign(msg, seckey)
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									if err != nil {
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										t.Fatal(err)
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									}
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									if !bytes.Equal(sig1, sig2) {
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										t.Fatal("signatures not equal")
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									}
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								}
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								func TestRandomMessagesWithSameKey(t *testing.T) {
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											2017-01-12 21:29:11 +01:00
										 
									 
								 
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							 | 
							
								
							 | 
							
							
									pubkey, seckey := generateKeyPair()
							 | 
						
					
						
							
								
									
										
										
										
											2015-09-28 11:19:23 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
									keys := func() ([]byte, []byte) {
							 | 
						
					
						
							
								
									
										
										
										
											2015-09-28 11:19:23 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
										return pubkey, seckey
							 | 
						
					
						
							
								
									
										
										
										
											2015-01-22 00:35:00 +01:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
									}
							 | 
						
					
						
							
								
									
										
										
										
											2015-09-28 11:19:23 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
									signAndRecoverWithRandomMessages(t, keys)
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								}
							 | 
						
					
						
							
								
									
										
										
										
											2015-01-22 00:35:00 +01:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2015-09-28 11:19:23 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								func TestRandomMessagesWithRandomKeys(t *testing.T) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									keys := func() ([]byte, []byte) {
							 | 
						
					
						
							
								
									
										
										
										
											2017-01-12 21:29:11 +01:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
										pubkey, seckey := generateKeyPair()
							 | 
						
					
						
							
								
									
										
										
										
											2015-09-28 11:19:23 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
										return pubkey, seckey
							 | 
						
					
						
							
								
									
										
										
										
											2015-01-22 00:35:00 +01:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
									}
							 | 
						
					
						
							
								
									
										
										
										
											2015-09-28 11:19:23 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
									signAndRecoverWithRandomMessages(t, keys)
							 | 
						
					
						
							
								
									
										
										
										
											2015-01-22 00:35:00 +01:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2015-09-28 11:19:23 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								func signAndRecoverWithRandomMessages(t *testing.T, keys func() ([]byte, []byte)) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									for i := 0; i < TestCount; i++ {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										pubkey1, seckey := keys()
							 | 
						
					
						
							
								
									
										
										
										
											2018-07-26 14:33:13 +03:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
										msg := csprngEntropy(32)
							 | 
						
					
						
							
								
									
										
										
										
											2015-09-28 11:19:23 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
										sig, err := Sign(msg, seckey)
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										if err != nil {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
											t.Fatalf("signature error: %s", err)
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										if sig == nil {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
											t.Fatal("signature is nil")
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										compactSigCheck(t, sig)
							 | 
						
					
						
							
								
									
										
										
										
											2015-01-22 00:35:00 +01:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2015-09-28 11:19:23 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
										// TODO: why do we flip around the recovery id?
							 | 
						
					
						
							
								
									
										
										
										
											2015-01-22 00:35:00 +01:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
										sig[len(sig)-1] %= 4
							 | 
						
					
						
							
								
									
										
										
										
											2015-09-28 11:19:23 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										pubkey2, err := RecoverPubkey(msg, sig)
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										if err != nil {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
											t.Fatalf("recover error: %s", err)
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										}
							 | 
						
					
						
							
								
									
										
										
										
											2015-01-22 00:35:00 +01:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
										if pubkey2 == nil {
							 | 
						
					
						
							
								
									
										
										
										
											2015-09-28 11:19:23 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
											t.Error("pubkey is nil")
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										if !bytes.Equal(pubkey1, pubkey2) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
											t.Fatalf("pubkey mismatch: want: %x have: %x", pubkey1, pubkey2)
							 | 
						
					
						
							
								
									
										
										
										
											2015-01-22 00:35:00 +01:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
										}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2015-09-28 11:19:23 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								func TestRecoveryOfRandomSignature(t *testing.T) {
							 | 
						
					
						
							
								
									
										
										
										
											2017-01-12 21:29:11 +01:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
									pubkey1, _ := generateKeyPair()
							 | 
						
					
						
							
								
									
										
										
										
											2018-07-26 14:33:13 +03:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
									msg := csprngEntropy(32)
							 | 
						
					
						
							
								
									
										
										
										
											2015-01-22 00:35:00 +01:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2015-09-28 11:19:23 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
									for i := 0; i < TestCount; i++ {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										// recovery can sometimes work, but if so should always give wrong pubkey
							 | 
						
					
						
							
								
									
										
										
										
											2017-01-09 11:16:06 +01:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
										pubkey2, _ := RecoverPubkey(msg, randSig())
							 | 
						
					
						
							
								
									
										
										
										
											2015-09-28 11:19:23 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
										if bytes.Equal(pubkey1, pubkey2) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
											t.Fatalf("iteration: %d: pubkey mismatch: do NOT want %x: ", i, pubkey2)
							 | 
						
					
						
							
								
									
										
										
										
											2015-01-22 00:35:00 +01:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
										}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2015-09-28 11:19:23 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								func TestRandomMessagesAgainstValidSig(t *testing.T) {
							 | 
						
					
						
							
								
									
										
										
										
											2017-01-12 21:29:11 +01:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
									pubkey1, seckey := generateKeyPair()
							 | 
						
					
						
							
								
									
										
										
										
											2018-07-26 14:33:13 +03:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
									msg := csprngEntropy(32)
							 | 
						
					
						
							
								
									
										
										
										
											2015-01-22 00:35:00 +01:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
									sig, _ := Sign(msg, seckey)
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2015-09-28 11:19:23 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
									for i := 0; i < TestCount; i++ {
							 | 
						
					
						
							
								
									
										
										
										
											2018-07-26 14:33:13 +03:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
										msg = csprngEntropy(32)
							 | 
						
					
						
							
								
									
										
										
										
											2015-01-22 00:35:00 +01:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
										pubkey2, _ := RecoverPubkey(msg, sig)
							 | 
						
					
						
							
								
									
										
										
										
											2015-09-28 11:19:23 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
										// recovery can sometimes work, but if so should always give wrong pubkey
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										if bytes.Equal(pubkey1, pubkey2) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
											t.Fatalf("iteration: %d: pubkey mismatch: do NOT want %x: ", i, pubkey2)
							 | 
						
					
						
							
								
									
										
										
										
											2015-01-22 00:35:00 +01:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
										}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2015-09-28 11:19:23 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								// Useful when the underlying libsecp256k1 API changes to quickly
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								// check only recover function without use of signature function
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								func TestRecoverSanity(t *testing.T) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									msg, _ := hex.DecodeString("ce0677bb30baa8cf067c88db9811f4333d131bf8bcf12fe7065d211dce971008")
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									sig, _ := hex.DecodeString("90f27b8b488db00b00606796d2987f6a5f59ae62ea05effe84fef5b8b0e549984a691139ad57a3f0b906637673aa2f63d1f55cb1a69199d4009eea23ceaddc9301")
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									pubkey1, _ := hex.DecodeString("04e32df42865e97135acfb65f3bae71bdc86f4d49150ad6a440b6f15878109880a0a2b2667f7e725ceea70c673093bf67663e0312623c8e091b13cf2c0f11ef652")
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									pubkey2, err := RecoverPubkey(msg, sig)
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									if err != nil {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										t.Fatalf("recover error: %s", err)
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									if !bytes.Equal(pubkey1, pubkey2) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										t.Errorf("pubkey mismatch: want: %x have: %x", pubkey1, pubkey2)
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								}
							 | 
						
					
						
							
								
									
										
										
										
											2015-01-22 00:35:00 +01:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2015-09-28 11:19:23 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								func BenchmarkSign(b *testing.B) {
							 | 
						
					
						
							
								
									
										
										
										
											2017-01-12 21:29:11 +01:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
									_, seckey := generateKeyPair()
							 | 
						
					
						
							
								
									
										
										
										
											2018-07-26 14:33:13 +03:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
									msg := csprngEntropy(32)
							 | 
						
					
						
							
								
									
										
										
										
											2017-01-12 21:29:11 +01:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
									b.ResetTimer()
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2015-09-28 11:19:23 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
									for i := 0; i < b.N; i++ {
							 | 
						
					
						
							
								
									
										
										
										
											2017-01-12 21:29:11 +01:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
										Sign(msg, seckey)
							 | 
						
					
						
							
								
									
										
										
										
											2015-01-22 00:35:00 +01:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
									}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								}
							 | 
						
					
						
							
								
									
										
										
										
											2015-02-16 13:19:57 +01:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2015-09-28 11:19:23 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								func BenchmarkRecover(b *testing.B) {
							 | 
						
					
						
							
								
									
										
										
										
											2018-07-26 14:33:13 +03:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
									msg := csprngEntropy(32)
							 | 
						
					
						
							
								
									
										
										
										
											2017-01-12 21:29:11 +01:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
									_, seckey := generateKeyPair()
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									sig, _ := Sign(msg, seckey)
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									b.ResetTimer()
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2015-09-28 11:19:23 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
									for i := 0; i < b.N; i++ {
							 | 
						
					
						
							
								
									
										
										
										
											2017-01-12 21:29:11 +01:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
										RecoverPubkey(msg, sig)
							 | 
						
					
						
							
								
									
										
										
										
											2015-02-16 13:19:57 +01:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
									}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								}
							 |