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
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
pub use self::derivation::Error as DerivationError;
use super::{Public, Secret};
use ethereum_types::H256;
use zeroize::Zeroize;
pub trait Label {
fn len() -> usize;
fn store(&self, target: &mut [u8]);
}
impl Label for u32 {
fn len() -> usize {
4
}
fn store(&self, target: &mut [u8]) {
let bytes = self.to_be_bytes();
target[0..4].copy_from_slice(&bytes);
}
}
pub enum Derivation<T: Label> {
Soft(T),
Hard(T),
}
impl From<u32> for Derivation<u32> {
fn from(index: u32) -> Self {
if index < (2 << 30) {
Derivation::Soft(index)
} else {
Derivation::Hard(index)
}
}
}
impl Label for H256 {
fn len() -> usize {
32
}
fn store(&self, target: &mut [u8]) {
(&mut target[0..32]).copy_from_slice(self.as_bytes());
}
}
pub struct ExtendedSecret {
secret: Secret,
chain_code: H256,
}
impl ExtendedSecret {
pub fn with_code(secret: Secret, chain_code: H256) -> ExtendedSecret {
ExtendedSecret { secret, chain_code }
}
pub fn new_random(secret: Secret) -> ExtendedSecret {
ExtendedSecret::with_code(secret, H256::random())
}
pub fn new(secret: Secret) -> ExtendedSecret {
let chain_code = derivation::chain_code(*secret);
ExtendedSecret::with_code(secret, chain_code)
}
pub fn derive<T>(&self, index: Derivation<T>) -> ExtendedSecret
where
T: Label,
{
let (mut derived_key, next_chain_code) = derivation::private(*self.secret, self.chain_code, index);
let new_derived_secret = Secret::from(derived_key.0);
derived_key.0.zeroize();
ExtendedSecret::with_code(new_derived_secret, next_chain_code)
}
pub fn as_raw(&self) -> &Secret {
&self.secret
}
}
pub struct ExtendedPublic {
public: Public,
chain_code: H256,
}
impl ExtendedPublic {
pub fn new(public: Public, chain_code: H256) -> Self {
ExtendedPublic { public: public, chain_code: chain_code }
}
pub fn from_secret(secret: &ExtendedSecret) -> Result<Self, DerivationError> {
Ok(ExtendedPublic::new(derivation::point(**secret.as_raw())?, secret.chain_code.clone()))
}
pub fn derive<T>(&self, index: Derivation<T>) -> Result<Self, DerivationError>
where
T: Label,
{
let (derived_key, next_chain_code) = derivation::public(self.public, self.chain_code, index)?;
Ok(ExtendedPublic::new(derived_key, next_chain_code))
}
pub fn public(&self) -> &Public {
&self.public
}
}
pub struct ExtendedKeyPair {
secret: ExtendedSecret,
public: ExtendedPublic,
}
impl ExtendedKeyPair {
pub fn new(secret: Secret) -> Self {
let extended_secret = ExtendedSecret::new(secret);
let extended_public =
ExtendedPublic::from_secret(&extended_secret).expect("Valid `Secret` always produces valid public; qed");
ExtendedKeyPair { secret: extended_secret, public: extended_public }
}
pub fn with_code(secret: Secret, public: Public, chain_code: H256) -> Self {
ExtendedKeyPair {
secret: ExtendedSecret::with_code(secret, chain_code.clone()),
public: ExtendedPublic::new(public, chain_code),
}
}
pub fn with_secret(secret: Secret, chain_code: H256) -> Self {
let extended_secret = ExtendedSecret::with_code(secret, chain_code);
let extended_public =
ExtendedPublic::from_secret(&extended_secret).expect("Valid `Secret` always produces valid public; qed");
ExtendedKeyPair { secret: extended_secret, public: extended_public }
}
pub fn with_seed(seed: &[u8]) -> Result<ExtendedKeyPair, DerivationError> {
let (master_key, chain_code) = derivation::seed_pair(seed);
Ok(ExtendedKeyPair::with_secret(
Secret::import_key(master_key.as_bytes()).map_err(|_| DerivationError::InvalidSeed)?,
chain_code,
))
}
pub fn secret(&self) -> &ExtendedSecret {
&self.secret
}
pub fn public(&self) -> &ExtendedPublic {
&self.public
}
pub fn derive<T>(&self, index: Derivation<T>) -> Result<Self, DerivationError>
where
T: Label,
{
let derived = self.secret.derive(index);
Ok(ExtendedKeyPair { public: ExtendedPublic::from_secret(&derived)?, secret: derived })
}
}
mod derivation {
use super::super::ec_math_utils::CURVE_ORDER;
use super::super::SECP256K1;
use super::{Derivation, Label};
use crate::{hmac, Keccak256};
use ethereum_types::{BigEndianHash, H256, H512, U256, U512};
use secp256k1::key::{PublicKey, SecretKey};
use std::convert::TryInto;
#[derive(Debug)]
pub enum Error {
InvalidHardenedUse,
InvalidPoint,
MissingIndex,
InvalidSeed,
}
pub fn private<T>(private_key: H256, chain_code: H256, index: Derivation<T>) -> (H256, H256)
where
T: Label,
{
match index {
Derivation::Soft(index) => private_soft(private_key, chain_code, index),
Derivation::Hard(index) => private_hard(private_key, chain_code, index),
}
}
fn hmac_pair(data: &[u8], private_key: H256, chain_code: H256) -> (H256, H256) {
let private: U256 = private_key.into_uint();
let skey = hmac::SigKey::sha512(chain_code.as_bytes());
let i_512 = hmac::sign(&skey, &data[..]);
let hmac_key: U256 = H256::from_slice(&i_512[0..32]).into_uint();
let next_chain_code = H256::from_slice(&i_512[32..64]);
let child_key = BigEndianHash::from_uint(&private_add(hmac_key, private));
(child_key, next_chain_code)
}
fn private_soft<T>(private_key: H256, chain_code: H256, index: T) -> (H256, H256)
where
T: Label,
{
let mut data = vec![0u8; 33 + T::len()];
let sec_private =
SecretKey::from_slice(private_key.as_bytes()).expect("Caller should provide valid private key");
let sec_public = PublicKey::from_secret_key(&SECP256K1, &sec_private);
let public_serialized = sec_public.serialize();
data[0..33].copy_from_slice(&public_serialized);
index.store(&mut data[33..]);
hmac_pair(&data, private_key, chain_code)
}
fn private_hard<T>(private_key: H256, chain_code: H256, index: T) -> (H256, H256)
where
T: Label,
{
let mut data: Vec<u8> = vec![0u8; 33 + T::len()];
let private: U256 = private_key.into_uint();
private.to_big_endian(&mut data[1..33]);
index.store(&mut data[33..(33 + T::len())]);
hmac_pair(&data, private_key, chain_code)
}
fn private_add(k1: U256, k2: U256) -> U256 {
let sum = U512::from(k1) + U512::from(k2);
modulo(sum, *CURVE_ORDER)
}
fn modulo(u1: U512, u2: U256) -> U256 {
let m = u1 % U512::from(u2);
m.try_into().expect("U512 modulo U256 should fit into U256; qed")
}
pub fn public<T>(public_key: H512, chain_code: H256, derivation: Derivation<T>) -> Result<(H512, H256), Error>
where
T: Label,
{
let index = match derivation {
Derivation::Soft(index) => index,
Derivation::Hard(_) => {
return Err(Error::InvalidHardenedUse);
}
};
let mut public_sec_raw = [0u8; 65];
public_sec_raw[0] = 4;
public_sec_raw[1..65].copy_from_slice(public_key.as_bytes());
let public_sec = PublicKey::from_slice(&public_sec_raw).map_err(|_| Error::InvalidPoint)?;
let public_serialized = public_sec.serialize();
let mut data = vec![0u8; 33 + T::len()];
data[0..33].copy_from_slice(&public_serialized);
index.store(&mut data[33..(33 + T::len())]);
let skey = hmac::SigKey::sha512(chain_code.as_bytes());
let i_512 = hmac::sign(&skey, &data[..]);
let new_private = H256::from_slice(&i_512[0..32]);
let new_chain_code = H256::from_slice(&i_512[32..64]);
if *CURVE_ORDER <= new_private.into_uint() {
return Err(Error::MissingIndex);
}
let new_private_sec = SecretKey::from_slice(new_private.as_bytes()).expect(
"Private key belongs to the field [0..CURVE_ORDER) (checked above); So initializing can never fail; qed",
);
let mut new_public = PublicKey::from_secret_key(&SECP256K1, &new_private_sec);
new_public = new_public.combine(&public_sec).expect("Addition of two valid points produce valid point");
let serialized = new_public.serialize_uncompressed();
Ok((H512::from_slice(&serialized[1..65]), new_chain_code))
}
fn sha3(slc: &[u8]) -> H256 {
slc.keccak256().into()
}
pub fn chain_code(secret: H256) -> H256 {
let mut running_sha3 = sha3(secret.as_bytes());
for _ in 0..99999 {
running_sha3 = sha3(running_sha3.as_bytes());
}
running_sha3
}
pub fn point(secret: H256) -> Result<H512, Error> {
let sec = SecretKey::from_slice(secret.as_bytes()).map_err(|_| Error::InvalidPoint)?;
let public_sec = PublicKey::from_secret_key(&SECP256K1, &sec);
let serialized = public_sec.serialize_uncompressed();
Ok(H512::from_slice(&serialized[1..65]))
}
pub fn seed_pair(seed: &[u8]) -> (H256, H256) {
let skey = hmac::SigKey::sha512(b"Bitcoin seed");
let i_512 = hmac::sign(&skey, seed);
let master_key = H256::from_slice(&i_512[0..32]);
let chain_code = H256::from_slice(&i_512[32..64]);
(master_key, chain_code)
}
}
#[cfg(test)]
mod tests {
use super::super::Secret;
use super::{derivation, Derivation};
use super::{ExtendedKeyPair, ExtendedPublic, ExtendedSecret};
use ethereum_types::{H128, H256, H512};
use std::str::FromStr;
fn master_chain_basic() -> (H256, H256) {
let seed =
H128::from_str("000102030405060708090a0b0c0d0e0f").expect("Seed should be valid H128").as_bytes().to_vec();
derivation::seed_pair(&*seed)
}
fn test_extended<F>(f: F, test_private: H256)
where
F: Fn(ExtendedSecret) -> ExtendedSecret,
{
let (private_seed, chain_code) = master_chain_basic();
let extended_secret = ExtendedSecret::with_code(Secret::from(private_seed.0), chain_code);
let derived = f(extended_secret);
assert_eq!(**derived.as_raw(), test_private);
}
#[test]
fn smoky() {
let secret =
Secret::copy_from_str(&"a100df7a048e50ed308ea696dc600215098141cb391e9527329df289f9383f65").unwrap();
let extended_secret = ExtendedSecret::with_code(secret.clone(), H256::zero());
assert_eq!(&**extended_secret.as_raw(), &*secret);
assert_eq!(
**extended_secret.derive(2147483648.into()).as_raw(),
H256::from_str("0927453daed47839608e414a3738dfad10aed17c459bbd9ab53f89b026c834b6").unwrap(),
);
assert_eq!(
**extended_secret.derive(2147483649.into()).as_raw(),
H256::from_str("44238b6a29c6dcbe9b401364141ba11e2198c289a5fed243a1c11af35c19dc0f").unwrap(),
);
assert_eq!(
**extended_secret.derive(0.into()).as_raw(),
H256::from_str("bf6a74e3f7b36fc4c96a1e12f31abc817f9f5904f5a8fc27713163d1f0b713f6").unwrap()
);
assert_eq!(
**extended_secret.derive(1.into()).as_raw(),
H256::from_str("bd4fca9eb1f9c201e9448c1eecd66e302d68d4d313ce895b8c134f512205c1bc").unwrap()
);
assert_eq!(
**extended_secret.derive(2.into()).as_raw(),
H256::from_str("86932b542d6cab4d9c65490c7ef502d89ecc0e2a5f4852157649e3251e2a3268").unwrap()
);
let extended_public = ExtendedPublic::from_secret(&extended_secret).expect("Extended public should be created");
let derived_public = extended_public.derive(0.into()).expect("First derivation of public should succeed");
assert_eq!(
*derived_public.public(),
H512::from_str("f7b3244c96688f92372bfd4def26dc4151529747bab9f188a4ad34e141d47bd66522ff048bc6f19a0a4429b04318b1a8796c000265b4fa200dae5f6dda92dd94").unwrap(),
);
let keypair = ExtendedKeyPair::with_secret(
Secret::copy_from_str(&"a100df7a048e50ed308ea696dc600215098141cb391e9527329df289f9383f65").unwrap(),
H256::from_low_u64_be(64),
);
assert_eq!(
**keypair.derive(2147483648u32.into()).expect("Derivation of keypair should succeed").secret().as_raw(),
H256::from_str("edef54414c03196557cf73774bc97a645c9a1df2164ed34f0c2a78d1375a930c").unwrap(),
);
}
#[test]
fn h256_soft_match() {
let secret =
Secret::copy_from_str(&"a100df7a048e50ed308ea696dc600215098141cb391e9527329df289f9383f65").unwrap();
let derivation_secret =
H256::from_str("51eaf04f9dbbc1417dc97e789edd0c37ecda88bac490434e367ea81b71b7b015").unwrap();
let extended_secret = ExtendedSecret::with_code(secret.clone(), H256::zero());
let extended_public = ExtendedPublic::from_secret(&extended_secret).expect("Extended public should be created");
let derived_secret0 = extended_secret.derive(Derivation::Soft(derivation_secret));
let derived_public0 = extended_public
.derive(Derivation::Soft(derivation_secret))
.expect("First derivation of public should succeed");
let public_from_secret0 =
ExtendedPublic::from_secret(&derived_secret0).expect("Extended public should be created");
assert_eq!(public_from_secret0.public(), derived_public0.public());
}
#[test]
fn h256_hard() {
let secret =
Secret::copy_from_str(&"a100df7a048e50ed308ea696dc600215098141cb391e9527329df289f9383f65").unwrap();
let derivation_secret =
H256::from_str("51eaf04f9dbbc1417dc97e789edd0c37ecda88bac490434e367ea81b71b7b015").unwrap();
let extended_secret = ExtendedSecret::with_code(secret.clone(), H256::from_low_u64_be(1));
assert_eq!(
**extended_secret.derive(Derivation::Hard(derivation_secret)).as_raw(),
H256::from_str("2bc2d696fb744d77ff813b4a1ef0ad64e1e5188b622c54ba917acc5ebc7c5486").unwrap(),
);
}
#[test]
fn test_key_derivation() {
let secret =
Secret::copy_from_str(&"a100df7a048e50ed308ea696dc600215098141cb391e9527329df289f9383f65").unwrap();
let extended_secret = ExtendedSecret::with_code(secret.clone(), H256::from_low_u64_be(1));
let extended_public = ExtendedPublic::from_secret(&extended_secret).expect("Extended public should be created");
let derived_secret0 = extended_secret.derive(0.into());
let derived_public0 = extended_public.derive(0.into()).expect("First derivation of public should succeed");
let public_from_secret0 =
ExtendedPublic::from_secret(&derived_secret0).expect("Extended public should be created");
assert_eq!(public_from_secret0.public(), derived_public0.public());
}
#[test]
fn test_seeds() {
let seed =
H128::from_str("000102030405060708090a0b0c0d0e0f").expect("Seed should be valid H128").as_bytes().to_vec();
let test_private = H256::from_str("e8f32e723decf4051aefac8e2c93c9c5b214313817cdb01a1494b917c8436b35")
.expect("Private should be decoded ok");
let (private_seed, _) = derivation::seed_pair(&*seed);
assert_eq!(private_seed, test_private);
}
#[test]
fn test_vector_1() {
test_extended(
|secret| secret.derive(2147483648.into()),
H256::from_str("edb2e14f9ee77d26dd93b4ecede8d16ed408ce149b6cd80b0715a2d911a0afea")
.expect("Private should be decoded ok"),
);
}
#[test]
fn test_vector_2() {
test_extended(
|secret| secret.derive(2147483648.into()).derive(1.into()),
H256::from_str("3c6cb8d0f6a264c91ea8b5030fadaa8e538b020f0a387421a12de9319dc93368")
.expect("Private should be decoded ok"),
);
}
}