1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
|
// Copyright (c) 2009-2012 The Bitcoin developers
// Distributed under the MIT/X11 software license, see the accompanying
// file license.txt or http://www.opensource.org/licenses/mit-license.php.
#include <map>
#include <openssl/ecdsa.h>
#include <openssl/obj_mac.h>
#include "key.h"
#include "util.h"
// Generate a private key from just the secret parameter
int EC_KEY_regenerate_key(EC_KEY *eckey, BIGNUM *priv_key)
{
int ok = 0;
BN_CTX *ctx = NULL;
EC_POINT *pub_key = NULL;
if (!eckey) return 0;
const EC_GROUP *group = EC_KEY_get0_group(eckey);
if ((ctx = BN_CTX_new()) == NULL)
goto err;
pub_key = EC_POINT_new(group);
if (pub_key == NULL)
goto err;
if (!EC_POINT_mul(group, pub_key, priv_key, NULL, NULL, ctx))
goto err;
EC_KEY_set_private_key(eckey,priv_key);
EC_KEY_set_public_key(eckey,pub_key);
ok = 1;
err:
if (pub_key)
EC_POINT_free(pub_key);
if (ctx != NULL)
BN_CTX_free(ctx);
return(ok);
}
// Perform ECDSA key recovery (see SEC1 4.1.6) for curves over (mod p)-fields
// recid selects which key is recovered
// if check is nonzero, additional checks are performed
int ECDSA_SIG_recover_key_GFp(EC_KEY *eckey, ECDSA_SIG *ecsig, const unsigned char *msg, int msglen, int recid, int check)
{
if (!eckey) return 0;
int ret = 0;
BN_CTX *ctx = NULL;
BIGNUM *x = NULL;
BIGNUM *e = NULL;
BIGNUM *order = NULL;
BIGNUM *sor = NULL;
BIGNUM *eor = NULL;
BIGNUM *field = NULL;
EC_POINT *R = NULL;
EC_POINT *O = NULL;
EC_POINT *Q = NULL;
BIGNUM *rr = NULL;
BIGNUM *zero = NULL;
int n = 0;
int i = recid / 2;
const EC_GROUP *group = EC_KEY_get0_group(eckey);
if ((ctx = BN_CTX_new()) == NULL) { ret = -1; goto err; }
BN_CTX_start(ctx);
order = BN_CTX_get(ctx);
if (!EC_GROUP_get_order(group, order, ctx)) { ret = -2; goto err; }
x = BN_CTX_get(ctx);
if (!BN_copy(x, order)) { ret=-1; goto err; }
if (!BN_mul_word(x, i)) { ret=-1; goto err; }
if (!BN_add(x, x, ecsig->r)) { ret=-1; goto err; }
field = BN_CTX_get(ctx);
if (!EC_GROUP_get_curve_GFp(group, field, NULL, NULL, ctx)) { ret=-2; goto err; }
if (BN_cmp(x, field) >= 0) { ret=0; goto err; }
if ((R = EC_POINT_new(group)) == NULL) { ret = -2; goto err; }
if (!EC_POINT_set_compressed_coordinates_GFp(group, R, x, recid % 2, ctx)) { ret=0; goto err; }
if (check)
{
if ((O = EC_POINT_new(group)) == NULL) { ret = -2; goto err; }
if (!EC_POINT_mul(group, O, NULL, R, order, ctx)) { ret=-2; goto err; }
if (!EC_POINT_is_at_infinity(group, O)) { ret = 0; goto err; }
}
if ((Q = EC_POINT_new(group)) == NULL) { ret = -2; goto err; }
n = EC_GROUP_get_degree(group);
e = BN_CTX_get(ctx);
if (!BN_bin2bn(msg, msglen, e)) { ret=-1; goto err; }
if (8*msglen > n) BN_rshift(e, e, 8-(n & 7));
zero = BN_CTX_get(ctx);
if (!BN_zero(zero)) { ret=-1; goto err; }
if (!BN_mod_sub(e, zero, e, order, ctx)) { ret=-1; goto err; }
rr = BN_CTX_get(ctx);
if (!BN_mod_inverse(rr, ecsig->r, order, ctx)) { ret=-1; goto err; }
sor = BN_CTX_get(ctx);
if (!BN_mod_mul(sor, ecsig->s, rr, order, ctx)) { ret=-1; goto err; }
eor = BN_CTX_get(ctx);
if (!BN_mod_mul(eor, e, rr, order, ctx)) { ret=-1; goto err; }
if (!EC_POINT_mul(group, Q, eor, R, sor, ctx)) { ret=-2; goto err; }
if (!EC_KEY_set_public_key(eckey, Q)) { ret=-2; goto err; }
ret = 1;
err:
if (ctx) {
BN_CTX_end(ctx);
BN_CTX_free(ctx);
}
if (R != NULL) EC_POINT_free(R);
if (O != NULL) EC_POINT_free(O);
if (Q != NULL) EC_POINT_free(Q);
return ret;
}
void CKey::SetCompressedPubKey()
{
EC_KEY_set_conv_form(pkey, POINT_CONVERSION_COMPRESSED);
fCompressedPubKey = true;
}
void CKey::Reset()
{
fCompressedPubKey = false;
pkey = EC_KEY_new_by_curve_name(NID_secp256k1);
if (pkey == NULL)
throw key_error("CKey::CKey() : EC_KEY_new_by_curve_name failed");
fSet = false;
}
CKey::CKey()
{
Reset();
}
CKey::CKey(const CKey& b)
{
pkey = EC_KEY_dup(b.pkey);
if (pkey == NULL)
throw key_error("CKey::CKey(const CKey&) : EC_KEY_dup failed");
fSet = b.fSet;
}
CKey& CKey::operator=(const CKey& b)
{
if (!EC_KEY_copy(pkey, b.pkey))
throw key_error("CKey::operator=(const CKey&) : EC_KEY_copy failed");
fSet = b.fSet;
return (*this);
}
CKey::~CKey()
{
EC_KEY_free(pkey);
}
bool CKey::IsNull() const
{
return !fSet;
}
bool CKey::IsCompressed() const
{
return fCompressedPubKey;
}
void CKey::MakeNewKey(bool fCompressed)
{
if (!EC_KEY_generate_key(pkey))
throw key_error("CKey::MakeNewKey() : EC_KEY_generate_key failed");
if (fCompressed)
SetCompressedPubKey();
fSet = true;
}
bool CKey::SetPrivKey(const CPrivKey& vchPrivKey)
{
const unsigned char* pbegin = &vchPrivKey[0];
if (!d2i_ECPrivateKey(&pkey, &pbegin, vchPrivKey.size()))
return false;
fSet = true;
return true;
}
bool CKey::SetSecret(const CSecret& vchSecret, bool fCompressed)
{
EC_KEY_free(pkey);
pkey = EC_KEY_new_by_curve_name(NID_secp256k1);
if (pkey == NULL)
throw key_error("CKey::SetSecret() : EC_KEY_new_by_curve_name failed");
if (vchSecret.size() != 32)
throw key_error("CKey::SetSecret() : secret must be 32 bytes");
BIGNUM *bn = BN_bin2bn(&vchSecret[0],32,BN_new());
if (bn == NULL)
throw key_error("CKey::SetSecret() : BN_bin2bn failed");
if (!EC_KEY_regenerate_key(pkey,bn))
{
BN_clear_free(bn);
throw key_error("CKey::SetSecret() : EC_KEY_regenerate_key failed");
}
BN_clear_free(bn);
fSet = true;
if (fCompressed || fCompressedPubKey)
SetCompressedPubKey();
return true;
}
CSecret CKey::GetSecret(bool &fCompressed) const
{
CSecret vchRet;
vchRet.resize(32);
const BIGNUM *bn = EC_KEY_get0_private_key(pkey);
int nBytes = BN_num_bytes(bn);
if (bn == NULL)
throw key_error("CKey::GetSecret() : EC_KEY_get0_private_key failed");
int n=BN_bn2bin(bn,&vchRet[32 - nBytes]);
if (n != nBytes)
throw key_error("CKey::GetSecret(): BN_bn2bin failed");
fCompressed = fCompressedPubKey;
return vchRet;
}
CPrivKey CKey::GetPrivKey() const
{
int nSize = i2d_ECPrivateKey(pkey, NULL);
if (!nSize)
throw key_error("CKey::GetPrivKey() : i2d_ECPrivateKey failed");
CPrivKey vchPrivKey(nSize, 0);
unsigned char* pbegin = &vchPrivKey[0];
if (i2d_ECPrivateKey(pkey, &pbegin) != nSize)
throw key_error("CKey::GetPrivKey() : i2d_ECPrivateKey returned unexpected size");
return vchPrivKey;
}
bool CKey::SetPubKey(const std::vector<unsigned char>& vchPubKey)
{
const unsigned char* pbegin = &vchPubKey[0];
if (!o2i_ECPublicKey(&pkey, &pbegin, vchPubKey.size()))
return false;
fSet = true;
if (vchPubKey.size() == 33)
SetCompressedPubKey();
return true;
}
std::vector<unsigned char> CKey::GetPubKey() const
{
int nSize = i2o_ECPublicKey(pkey, NULL);
if (!nSize)
throw key_error("CKey::GetPubKey() : i2o_ECPublicKey failed");
std::vector<unsigned char> vchPubKey(nSize, 0);
unsigned char* pbegin = &vchPubKey[0];
if (i2o_ECPublicKey(pkey, &pbegin) != nSize)
throw key_error("CKey::GetPubKey() : i2o_ECPublicKey returned unexpected size");
return vchPubKey;
}
bool CKey::Sign(uint256 hash, std::vector<unsigned char>& vchSig)
{
unsigned int nSize = ECDSA_size(pkey);
vchSig.resize(nSize); // Make sure it is big enough
if (!ECDSA_sign(0, (unsigned char*)&hash, sizeof(hash), &vchSig[0], &nSize, pkey))
{
vchSig.clear();
return false;
}
vchSig.resize(nSize); // Shrink to fit actual size
return true;
}
// create a compact signature (65 bytes), which allows reconstructing the used public key
// The format is one header byte, followed by two times 32 bytes for the serialized r and s values.
// The header byte: 0x1B = first key with even y, 0x1C = first key with odd y,
// 0x1D = second key with even y, 0x1E = second key with odd y
bool CKey::SignCompact(uint256 hash, std::vector<unsigned char>& vchSig)
{
bool fOk = false;
ECDSA_SIG *sig = ECDSA_do_sign((unsigned char*)&hash, sizeof(hash), pkey);
if (sig==NULL)
return false;
vchSig.clear();
vchSig.resize(65,0);
int nBitsR = BN_num_bits(sig->r);
int nBitsS = BN_num_bits(sig->s);
if (nBitsR <= 256 && nBitsS <= 256)
{
int nRecId = -1;
for (int i=0; i<4; i++)
{
CKey keyRec;
keyRec.fSet = true;
if (fCompressedPubKey)
keyRec.SetCompressedPubKey();
if (ECDSA_SIG_recover_key_GFp(keyRec.pkey, sig, (unsigned char*)&hash, sizeof(hash), i, 1) == 1)
if (keyRec.GetPubKey() == this->GetPubKey())
{
nRecId = i;
break;
}
}
if (nRecId == -1)
throw key_error("CKey::SignCompact() : unable to construct recoverable key");
vchSig[0] = nRecId+27+(fCompressedPubKey ? 4 : 0);
BN_bn2bin(sig->r,&vchSig[33-(nBitsR+7)/8]);
BN_bn2bin(sig->s,&vchSig[65-(nBitsS+7)/8]);
fOk = true;
}
ECDSA_SIG_free(sig);
return fOk;
}
// reconstruct public key from a compact signature
// This is only slightly more CPU intensive than just verifying it.
// If this function succeeds, the recovered public key is guaranteed to be valid
// (the signature is a valid signature of the given data for that key)
bool CKey::SetCompactSignature(uint256 hash, const std::vector<unsigned char>& vchSig)
{
if (vchSig.size() != 65)
return false;
int nV = vchSig[0];
if (nV<27 || nV>=35)
return false;
ECDSA_SIG *sig = ECDSA_SIG_new();
BN_bin2bn(&vchSig[1],32,sig->r);
BN_bin2bn(&vchSig[33],32,sig->s);
EC_KEY_free(pkey);
pkey = EC_KEY_new_by_curve_name(NID_secp256k1);
if (nV >= 31)
{
SetCompressedPubKey();
nV -= 4;
}
if (ECDSA_SIG_recover_key_GFp(pkey, sig, (unsigned char*)&hash, sizeof(hash), nV - 27, 0) == 1)
{
fSet = true;
ECDSA_SIG_free(sig);
return true;
}
return false;
}
bool CKey::Verify(uint256 hash, const std::vector<unsigned char>& vchSig)
{
// -1 = error, 0 = bad sig, 1 = good
if (ECDSA_verify(0, (unsigned char*)&hash, sizeof(hash), &vchSig[0], vchSig.size(), pkey) != 1)
return false;
return true;
}
bool CKey::VerifyCompact(uint256 hash, const std::vector<unsigned char>& vchSig)
{
CKey key;
if (!key.SetCompactSignature(hash, vchSig))
return false;
if (GetPubKey() != key.GetPubKey())
return false;
return true;
}
bool CKey::IsValid()
{
if (!fSet)
return false;
bool fCompr;
CSecret secret = GetSecret(fCompr);
CKey key2;
key2.SetSecret(secret, fCompr);
return GetPubKey() == key2.GetPubKey();
}
|