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
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
// Rust Bitcoin Library
// Written in 2014 by
//     Andrew Poelstra <apoelstra@wpsoftware.net>
// To the extent possible under law, the author(s) have dedicated all
// copyright and related and neighboring rights to this software to
// the public domain worldwide. This software is distributed without
// any warranty.
//
// You should have received a copy of the CC0 Public Domain Dedication
// along with this software.
// If not, see <http://creativecommons.org/publicdomain/zero/1.0/>.
//

//! BIP32 Implementation
//!
//! Implementation of BIP32 hierarchical deterministic wallets, as defined
//! at https://github.com/bitcoin/bips/blob/master/bip-0032.mediawiki

use std::default::Default;
use std::{error, fmt};
use std::str::FromStr;
#[cfg(feature = "serde")] use serde;

use hash_types::XpubIdentifier;
use hashes::{sha512, Hash, HashEngine, Hmac, HmacEngine};
use secp256k1::{self, Secp256k1};

use network::constants::Network;
use util::{base58, endian};
use util::key::{PublicKey, PrivateKey};

/// A chain code
#[derive(Copy, Clone, PartialEq, Eq, PartialOrd, Ord, Hash)]
pub struct ChainCode([u8; 32]);
impl_array_newtype!(ChainCode, u8, 32);
impl_array_newtype_show!(ChainCode);
impl_bytes_newtype!(ChainCode, 32);

/// A fingerprint
#[derive(Copy, Clone, PartialEq, Eq, PartialOrd, Ord, Hash)]
pub struct Fingerprint([u8; 4]);
impl_array_newtype!(Fingerprint, u8, 4);
impl_array_newtype_show!(Fingerprint);
impl_bytes_newtype!(Fingerprint, 4);

impl Default for Fingerprint {
    fn default() -> Fingerprint { Fingerprint([0; 4]) }
}

/// Extended private key
#[derive(Copy, Clone, PartialEq, Eq, Debug)]
pub struct ExtendedPrivKey {
    /// The network this key is to be used on
    pub network: Network,
    /// How many derivations this key is from the master (which is 0)
    pub depth: u8,
    /// Fingerprint of the parent key (0 for master)
    pub parent_fingerprint: Fingerprint,
    /// Child number of the key used to derive from parent (0 for master)
    pub child_number: ChildNumber,
    /// Private key
    pub private_key: PrivateKey,
    /// Chain code
    pub chain_code: ChainCode
}
serde_string_impl!(ExtendedPrivKey, "a BIP-32 extended private key");

/// Extended public key
#[derive(Copy, Clone, PartialEq, Eq, Debug, PartialOrd, Ord, Hash)]
pub struct ExtendedPubKey {
    /// The network this key is to be used on
    pub network: Network,
    /// How many derivations this key is from the master (which is 0)
    pub depth: u8,
    /// Fingerprint of the parent key
    pub parent_fingerprint: Fingerprint,
    /// Child number of the key used to derive from parent (0 for master)
    pub child_number: ChildNumber,
    /// Public key
    pub public_key: PublicKey,
    /// Chain code
    pub chain_code: ChainCode
}
serde_string_impl!(ExtendedPubKey, "a BIP-32 extended public key");

/// A child number for a derived key
#[derive(Copy, Clone, PartialEq, Eq, Debug, PartialOrd, Ord, Hash)]
pub enum ChildNumber {
    /// Non-hardened key
    Normal {
        /// Key index, within [0, 2^31 - 1]
        index: u32
    },
    /// Hardened key
    Hardened {
        /// Key index, within [0, 2^31 - 1]
        index: u32
    },
}

impl ChildNumber {
    /// Create a [`Normal`] from an index, returns an error if the index is not within
    /// [0, 2^31 - 1].
    ///
    /// [`Normal`]: #variant.Normal
    pub fn from_normal_idx(index: u32) -> Result<Self, Error> {
        if index & (1 << 31) == 0 {
            Ok(ChildNumber::Normal { index: index })
        } else {
            Err(Error::InvalidChildNumber(index))
        }
    }

    /// Create a [`Hardened`] from an index, returns an error if the index is not within
    /// [0, 2^31 - 1].
    ///
    /// [`Hardened`]: #variant.Hardened
    pub fn from_hardened_idx(index: u32) -> Result<Self, Error> {
        if index & (1 << 31) == 0 {
            Ok(ChildNumber::Hardened { index: index })
        } else {
            Err(Error::InvalidChildNumber(index))
        }
    }

    /// Returns `true` if the child number is a [`Normal`] value.
    ///
    /// [`Normal`]: #variant.Normal
    pub fn is_normal(self) -> bool {
        !self.is_hardened()
    }

    /// Returns `true` if the child number is a [`Hardened`] value.
    ///
    /// [`Hardened`]: #variant.Hardened
    pub fn is_hardened(self) -> bool {
        match self {
            ChildNumber::Hardened {..} => true,
            ChildNumber::Normal {..} => false,
        }
    }

    /// Returns the child number that is a single increment from this one.
    pub fn increment(self) -> Result<ChildNumber, Error> {
        match self {
            ChildNumber::Normal{ index: idx } => ChildNumber::from_normal_idx(idx+1),
            ChildNumber::Hardened{ index: idx } => ChildNumber::from_hardened_idx(idx+1),
        }
    }
}

impl From<u32> for ChildNumber {
    fn from(number: u32) -> Self {
        if number & (1 << 31) != 0 {
            ChildNumber::Hardened { index: number ^ (1 << 31) }
        } else {
            ChildNumber::Normal { index: number }
        }
    }
}

impl From<ChildNumber> for u32 {
    fn from(cnum: ChildNumber) -> Self {
        match cnum {
            ChildNumber::Normal { index } => index,
            ChildNumber::Hardened { index } => index | (1 << 31),
        }
    }
}

impl fmt::Display for ChildNumber {
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        match *self {
            ChildNumber::Hardened { index } => write!(f, "{}'", index),
            ChildNumber::Normal { index } => write!(f, "{}", index),
        }
    }
}

impl FromStr for ChildNumber {
    type Err = Error;

    fn from_str(inp: &str) -> Result<ChildNumber, Error> {
        let is_hardened = inp.chars().last().map_or(false, |l| l == '\'' || l == 'h');
        Ok(if is_hardened {
            ChildNumber::from_hardened_idx(inp[0..inp.len() - 1].parse().map_err(|_| Error::InvalidChildNumberFormat)?)?
        } else {
            ChildNumber::from_normal_idx(inp.parse().map_err(|_| Error::InvalidChildNumberFormat)?)?
        })
    }
}

#[cfg(feature = "serde")]
impl<'de> serde::Deserialize<'de> for ChildNumber {
    fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>
    where
        D: serde::Deserializer<'de>,
    {
        u32::deserialize(deserializer).map(ChildNumber::from)
    }
}

#[cfg(feature = "serde")]
impl serde::Serialize for ChildNumber {
    fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error>
    where
        S: serde::Serializer,
    {
        u32::from(*self).serialize(serializer)
    }
}

/// A BIP-32 derivation path.
#[derive(Clone, PartialEq, Eq, Ord, PartialOrd, Hash)]
pub struct DerivationPath(Vec<ChildNumber>);
impl_index_newtype!(DerivationPath, ChildNumber);
serde_string_impl!(DerivationPath, "a BIP-32 derivation path");

impl From<Vec<ChildNumber>> for DerivationPath {
    fn from(numbers: Vec<ChildNumber>) -> Self {
        DerivationPath(numbers)
    }
}

impl Into<Vec<ChildNumber>> for DerivationPath {
    fn into(self) -> Vec<ChildNumber> {
        self.0
    }
}

impl<'a> From<&'a [ChildNumber]> for DerivationPath {
    fn from(numbers: &'a [ChildNumber]) -> Self {
        DerivationPath(numbers.to_vec())
    }
}

impl ::std::iter::FromIterator<ChildNumber> for DerivationPath {
    fn from_iter<T>(iter: T) -> Self where T: IntoIterator<Item = ChildNumber> {
        DerivationPath(Vec::from_iter(iter))
    }
}

impl<'a> ::std::iter::IntoIterator for &'a DerivationPath {
    type Item = &'a ChildNumber;
    type IntoIter = ::std::slice::Iter<'a, ChildNumber>;
    fn into_iter(self) -> Self::IntoIter {
        self.0.iter()
    }
}

impl AsRef<[ChildNumber]> for DerivationPath {
    fn as_ref(&self) -> &[ChildNumber] {
        &self.0
    }
}

impl FromStr for DerivationPath {
    type Err = Error;

    fn from_str(path: &str) -> Result<DerivationPath, Error> {
        let mut parts = path.split('/');
        // First parts must be `m`.
        if parts.next().unwrap() != "m" {
            return Err(Error::InvalidDerivationPathFormat);
        }

        let ret: Result<Vec<ChildNumber>, Error> = parts.map(str::parse).collect();
        Ok(DerivationPath(ret?))
    }
}

/// An iterator over children of a [DerivationPath].
///
/// It is returned by the methods [DerivationPath::children_since],
/// [DerivationPath::normal_children] and [DerivationPath::hardened_children].
pub struct DerivationPathIterator<'a> {
    base: &'a DerivationPath,
    next_child: Option<ChildNumber>,
}

impl<'a> DerivationPathIterator<'a> {
    /// Start a new [DerivationPathIterator] at the given child.
    pub fn start_from(path: &'a DerivationPath, start: ChildNumber) -> DerivationPathIterator<'a> {
        DerivationPathIterator {
            base: path,
            next_child: Some(start),
        }
    }
}

impl<'a> Iterator for DerivationPathIterator<'a> {
    type Item = DerivationPath;

    fn next(&mut self) -> Option<Self::Item> {
        let ret = self.next_child?;
        self.next_child = ret.increment().ok();
        Some(self.base.child(ret))
    }
}

impl DerivationPath {
    /// Create a new [DerivationPath] that is a child of this one.
    pub fn child(&self, cn: ChildNumber) -> DerivationPath {
        let mut path = self.0.clone();
        path.push(cn);
        DerivationPath(path)
    }

    /// Convert into a [DerivationPath] that is a child of this one.
    pub fn into_child(self, cn: ChildNumber) -> DerivationPath {
        let mut path = self.0;
        path.push(cn);
        DerivationPath(path)
    }

    /// Get an [Iterator] over the children of this [DerivationPath]
    /// starting with the given [ChildNumber].
    pub fn children_from(&self, cn: ChildNumber) -> DerivationPathIterator {
        DerivationPathIterator::start_from(&self, cn)
    }

    /// Get an [Iterator] over the unhardened children of this [DerivationPath].
    pub fn normal_children(&self) -> DerivationPathIterator {
        DerivationPathIterator::start_from(&self, ChildNumber::Normal{ index: 0 })
    }

    /// Get an [Iterator] over the hardened children of this [DerivationPath].
    pub fn hardened_children(&self) -> DerivationPathIterator {
        DerivationPathIterator::start_from(&self, ChildNumber::Hardened{ index: 0 })
    }

    /// Concatenate `self` with `path` and return the resulting new path.
    ///
    /// ```
    /// use bitcoin::util::bip32::{DerivationPath, ChildNumber};
    /// use std::str::FromStr;
    ///
    /// let base = DerivationPath::from_str("m/42").unwrap();
    ///
    /// let deriv_1 = base.extend(DerivationPath::from_str("m/0/1").unwrap());
    /// let deriv_2 = base.extend(&[
    ///     ChildNumber::from_normal_idx(0).unwrap(),
    ///     ChildNumber::from_normal_idx(1).unwrap()
    /// ]);
    ///
    /// assert_eq!(deriv_1, deriv_2);
    /// ```
    pub fn extend<T: AsRef<[ChildNumber]>>(&self, path: T) -> DerivationPath {
        let mut new_path = self.clone();
        new_path.0.extend_from_slice(path.as_ref());
        new_path
    }
}

impl fmt::Display for DerivationPath {
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        f.write_str("m")?;
        for cn in self.0.iter() {
            f.write_str("/")?;
            fmt::Display::fmt(cn, f)?;
        }
        Ok(())
    }
}

impl fmt::Debug for DerivationPath {
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        fmt::Display::fmt(&self, f)
    }
}

/// Full information on the used extended public key: fingerprint of the
/// master extended public key and a derivation path from it.
pub type KeySource = (Fingerprint, DerivationPath);

/// A BIP32 error
#[derive(Clone, PartialEq, Eq, Debug)]
pub enum Error {
    /// A pk->pk derivation was attempted on a hardened key
    CannotDeriveFromHardenedKey,
    /// A secp256k1 error occurred
    Ecdsa(secp256k1::Error),
    /// A child number was provided that was out of range
    InvalidChildNumber(u32),
    /// Error creating a master seed --- for application use
    RngError(String),
    /// Invalid childnumber format.
    InvalidChildNumberFormat,
    /// Invalid derivation path format.
    InvalidDerivationPathFormat,
}

impl fmt::Display for Error {
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        match *self {
            Error::CannotDeriveFromHardenedKey => f.write_str("cannot derive hardened key from public key"),
            Error::Ecdsa(ref e) => fmt::Display::fmt(e, f),
            Error::InvalidChildNumber(ref n) => write!(f, "child number {} is invalid (not within [0, 2^31 - 1])", n),
            Error::RngError(ref s) => write!(f, "rng error {}", s),
            Error::InvalidChildNumberFormat => f.write_str("invalid child number format"),
            Error::InvalidDerivationPathFormat => f.write_str("invalid derivation path format"),
        }
    }
}

impl error::Error for Error {
    fn cause(&self) -> Option<&dyn error::Error> {
       if let Error::Ecdsa(ref e) = *self {
           Some(e)
       } else {
           None
       }
    }
}

impl From<secp256k1::Error> for Error {
    fn from(e: secp256k1::Error) -> Error { Error::Ecdsa(e) }
}

impl ExtendedPrivKey {
    /// Construct a new master key from a seed value
    pub fn new_master(network: Network, seed: &[u8]) -> Result<ExtendedPrivKey, Error> {
        let mut hmac_engine: HmacEngine<sha512::Hash> = HmacEngine::new(b"Bitcoin seed");
        hmac_engine.input(seed);
        let hmac_result: Hmac<sha512::Hash> = Hmac::from_engine(hmac_engine);

        Ok(ExtendedPrivKey {
            network: network,
            depth: 0,
            parent_fingerprint: Default::default(),
            child_number: ChildNumber::from_normal_idx(0)?,
            private_key: PrivateKey {
                compressed: true,
                network: network,
                key: secp256k1::SecretKey::from_slice(
                    &hmac_result[..32]
                ).map_err(Error::Ecdsa)?,
            },
            chain_code: ChainCode::from(&hmac_result[32..]),
        })
    }

    /// Attempts to derive an extended private key from a path.
    ///
    /// The `path` argument can be both of type `DerivationPath` or `Vec<ChildNumber>`.
    pub fn derive_priv<C: secp256k1::Signing, P: AsRef<[ChildNumber]>>(
        &self,
        secp: &Secp256k1<C>,
        path: &P,
    ) -> Result<ExtendedPrivKey, Error> {
        let mut sk: ExtendedPrivKey = *self;
        for cnum in path.as_ref() {
            sk = sk.ckd_priv(secp, *cnum)?;
        }
        Ok(sk)
    }

    /// Private->Private child key derivation
    pub fn ckd_priv<C: secp256k1::Signing>(&self, secp: &Secp256k1<C>, i: ChildNumber) -> Result<ExtendedPrivKey, Error> {
        let mut hmac_engine: HmacEngine<sha512::Hash> = HmacEngine::new(&self.chain_code[..]);
        match i {
            ChildNumber::Normal {..} => {
                // Non-hardened key: compute public data and use that
                hmac_engine.input(&PublicKey::from_private_key(secp, &self.private_key).key.serialize()[..]);
            }
            ChildNumber::Hardened {..} => {
                // Hardened key: use only secret data to prevent public derivation
                hmac_engine.input(&[0u8]);
                hmac_engine.input(&self.private_key[..]);
            }
        }

        hmac_engine.input(&endian::u32_to_array_be(u32::from(i)));
        let hmac_result: Hmac<sha512::Hash> = Hmac::from_engine(hmac_engine);
        let mut sk = PrivateKey {
            compressed: true,
            network: self.network,
            key: secp256k1::SecretKey::from_slice(&hmac_result[..32]).map_err(Error::Ecdsa)?,
        };
        sk.key.add_assign(&self.private_key[..]).map_err(Error::Ecdsa)?;

        Ok(ExtendedPrivKey {
            network: self.network,
            depth: self.depth + 1,
            parent_fingerprint: self.fingerprint(secp),
            child_number: i,
            private_key: sk,
            chain_code: ChainCode::from(&hmac_result[32..])
        })
    }

    /// Returns the HASH160 of the public key belonging to the xpriv
    pub fn identifier<C: secp256k1::Signing>(&self, secp: &Secp256k1<C>) -> XpubIdentifier {
        ExtendedPubKey::from_private(secp, self).identifier()
    }

    /// Returns the first four bytes of the identifier
    pub fn fingerprint<C: secp256k1::Signing>(&self, secp: &Secp256k1<C>) -> Fingerprint {
        Fingerprint::from(&self.identifier(secp)[0..4])
    }
}

impl ExtendedPubKey {
    /// Derives a public key from a private key
    pub fn from_private<C: secp256k1::Signing>(secp: &Secp256k1<C>, sk: &ExtendedPrivKey) -> ExtendedPubKey {
        ExtendedPubKey {
            network: sk.network,
            depth: sk.depth,
            parent_fingerprint: sk.parent_fingerprint,
            child_number: sk.child_number,
            public_key: PublicKey::from_private_key(secp, &sk.private_key),
            chain_code: sk.chain_code
        }
    }

    /// Attempts to derive an extended public key from a path.
    ///
    /// The `path` argument can be both of type `DerivationPath` or `Vec<ChildNumber>`.
    pub fn derive_pub<C: secp256k1::Verification, P: AsRef<[ChildNumber]>>(
        &self,
        secp: &Secp256k1<C>,
        path: &P,
    ) -> Result<ExtendedPubKey, Error> {
        let mut pk: ExtendedPubKey = *self;
        for cnum in path.as_ref() {
            pk = pk.ckd_pub(secp, *cnum)?
        }
        Ok(pk)
    }

    /// Compute the scalar tweak added to this key to get a child key
    pub fn ckd_pub_tweak(&self, i: ChildNumber) -> Result<(PrivateKey, ChainCode), Error> {
        match i {
            ChildNumber::Hardened {..} => {
                Err(Error::CannotDeriveFromHardenedKey)
            }
            ChildNumber::Normal { index: n } => {
                let mut hmac_engine: HmacEngine<sha512::Hash> = HmacEngine::new(&self.chain_code[..]);
                hmac_engine.input(&self.public_key.key.serialize()[..]);
                hmac_engine.input(&endian::u32_to_array_be(n));

                let hmac_result: Hmac<sha512::Hash> = Hmac::from_engine(hmac_engine);

                let private_key = PrivateKey {
                    compressed: true,
                    network: self.network,
                    key: secp256k1::SecretKey::from_slice(&hmac_result[..32])?,
                };
                let chain_code = ChainCode::from(&hmac_result[32..]);
                Ok((private_key, chain_code))
            }
        }
    }

    /// Public->Public child key derivation
    pub fn ckd_pub<C: secp256k1::Verification>(
        &self,
        secp: &Secp256k1<C>,
        i: ChildNumber,
    ) -> Result<ExtendedPubKey, Error> {
        let (sk, chain_code) = self.ckd_pub_tweak(i)?;
        let mut pk = self.public_key;
        pk.key.add_exp_assign(secp, &sk[..]).map_err(Error::Ecdsa)?;

        Ok(ExtendedPubKey {
            network: self.network,
            depth: self.depth + 1,
            parent_fingerprint: self.fingerprint(),
            child_number: i,
            public_key: pk,
            chain_code: chain_code
        })
    }

    /// Returns the HASH160 of the public key of the xpub
    pub fn identifier(&self) -> XpubIdentifier {
        let mut engine = XpubIdentifier::engine();
        self.public_key.write_into(&mut engine);
        XpubIdentifier::from_engine(engine)
    }

    /// Returns the first four bytes of the identifier
    pub fn fingerprint(&self) -> Fingerprint {
        Fingerprint::from(&self.identifier()[0..4])
    }
}

impl fmt::Display for ExtendedPrivKey {
    fn fmt(&self, fmt: &mut fmt::Formatter) -> fmt::Result {
        let mut ret = [0; 78];
        ret[0..4].copy_from_slice(&match self.network {
            Network::Bitcoin => [0x04, 0x88, 0xAD, 0xE4],
            Network::Testnet | Network::Regtest => [0x04, 0x35, 0x83, 0x94],
        }[..]);
        ret[4] = self.depth as u8;
        ret[5..9].copy_from_slice(&self.parent_fingerprint[..]);
        ret[9..13].copy_from_slice(&endian::u32_to_array_be(u32::from(self.child_number)));
        ret[13..45].copy_from_slice(&self.chain_code[..]);
        ret[45] = 0;
        ret[46..78].copy_from_slice(&self.private_key[..]);
        fmt.write_str(&base58::check_encode_slice(&ret[..]))
    }
}

impl FromStr for ExtendedPrivKey {
    type Err = base58::Error;

    fn from_str(inp: &str) -> Result<ExtendedPrivKey, base58::Error> {
        let data = base58::from_check(inp)?;

        if data.len() != 78 {
            return Err(base58::Error::InvalidLength(data.len()));
        }

        let cn_int: u32 = endian::slice_to_u32_be(&data[9..13]);
        let child_number: ChildNumber = ChildNumber::from(cn_int);

        let network = if data[0..4] == [0x04u8, 0x88, 0xAD, 0xE4] {
            Network::Bitcoin
        } else if data[0..4] == [0x04u8, 0x35, 0x83, 0x94] {
            Network::Testnet
        } else {
            return Err(base58::Error::InvalidVersion((&data[0..4]).to_vec()));
        };

        Ok(ExtendedPrivKey {
            network: network,
            depth: data[4],
            parent_fingerprint: Fingerprint::from(&data[5..9]),
            child_number: child_number,
            chain_code: ChainCode::from(&data[13..45]),
            private_key: PrivateKey {
                compressed: true,
                network: network,
                key: secp256k1::SecretKey::from_slice(
                    &data[46..78]
                ).map_err(|e|
                        base58::Error::Other(e.to_string())
                )?,
            },
        })
    }
}

impl fmt::Display for ExtendedPubKey {
    fn fmt(&self, fmt: &mut fmt::Formatter) -> fmt::Result {
        let mut ret = [0; 78];
        ret[0..4].copy_from_slice(&match self.network {
            Network::Bitcoin => [0x04u8, 0x88, 0xB2, 0x1E],
            Network::Testnet | Network::Regtest => [0x04u8, 0x35, 0x87, 0xCF],
        }[..]);
        ret[4] = self.depth as u8;
        ret[5..9].copy_from_slice(&self.parent_fingerprint[..]);
        ret[9..13].copy_from_slice(&endian::u32_to_array_be(u32::from(self.child_number)));
        ret[13..45].copy_from_slice(&self.chain_code[..]);
        ret[45..78].copy_from_slice(&self.public_key.key.serialize()[..]);
        fmt.write_str(&base58::check_encode_slice(&ret[..]))
    }
}

impl FromStr for ExtendedPubKey {
    type Err = base58::Error;

    fn from_str(inp: &str) -> Result<ExtendedPubKey, base58::Error> {
        let data = base58::from_check(inp)?;

        if data.len() != 78 {
            return Err(base58::Error::InvalidLength(data.len()));
        }

        let cn_int: u32 = endian::slice_to_u32_be(&data[9..13]);
        let child_number: ChildNumber = ChildNumber::from(cn_int);

        Ok(ExtendedPubKey {
            network: if data[0..4] == [0x04u8, 0x88, 0xB2, 0x1E] {
                Network::Bitcoin
            } else if data[0..4] == [0x04u8, 0x35, 0x87, 0xCF] {
                Network::Testnet
            } else {
                return Err(base58::Error::InvalidVersion((&data[0..4]).to_vec()));
            },
            depth: data[4],
            parent_fingerprint: Fingerprint::from(&data[5..9]),
            child_number: child_number,
            chain_code: ChainCode::from(&data[13..45]),
            public_key: PublicKey::from_slice(
                             &data[45..78]).map_err(|e|
                                 base58::Error::Other(e.to_string()))?
        })
    }
}

#[cfg(test)]
mod tests {
    use super::*;
    use super::ChildNumber::{Hardened, Normal};

    use std::str::FromStr;
    use std::string::ToString;

    use secp256k1::{self, Secp256k1};
    use hashes::hex::FromHex;

    use network::constants::Network::{self, Bitcoin};

    #[test]
    fn test_parse_derivation_path() {
        assert_eq!(DerivationPath::from_str("42"), Err(Error::InvalidDerivationPathFormat));
        assert_eq!(DerivationPath::from_str("n/0'/0"), Err(Error::InvalidDerivationPathFormat));
        assert_eq!(DerivationPath::from_str("4/m/5"), Err(Error::InvalidDerivationPathFormat));
        assert_eq!(DerivationPath::from_str("m//3/0'"), Err(Error::InvalidChildNumberFormat));
        assert_eq!(DerivationPath::from_str("m/0h/0x"), Err(Error::InvalidChildNumberFormat));
        assert_eq!(DerivationPath::from_str("m/2147483648"), Err(Error::InvalidChildNumber(2147483648)));

        assert_eq!(DerivationPath::from_str("m"), Ok(vec![].into()));
        assert_eq!(
            DerivationPath::from_str("m/0'"),
            Ok(vec![ChildNumber::from_hardened_idx(0).unwrap()].into())
        );
        assert_eq!(
            DerivationPath::from_str("m/0'/1"),
            Ok(vec![ChildNumber::from_hardened_idx(0).unwrap(), ChildNumber::from_normal_idx(1).unwrap()].into())
        );
        assert_eq!(
            DerivationPath::from_str("m/0h/1/2'"),
            Ok(vec![
                ChildNumber::from_hardened_idx(0).unwrap(),
                ChildNumber::from_normal_idx(1).unwrap(),
                ChildNumber::from_hardened_idx(2).unwrap(),
            ].into())
        );
        assert_eq!(
            DerivationPath::from_str("m/0'/1/2h/2"),
            Ok(vec![
                ChildNumber::from_hardened_idx(0).unwrap(),
                ChildNumber::from_normal_idx(1).unwrap(),
                ChildNumber::from_hardened_idx(2).unwrap(),
                ChildNumber::from_normal_idx(2).unwrap(),
            ].into())
        );
        assert_eq!(
            DerivationPath::from_str("m/0'/1/2'/2/1000000000"),
            Ok(vec![
                ChildNumber::from_hardened_idx(0).unwrap(),
                ChildNumber::from_normal_idx(1).unwrap(),
                ChildNumber::from_hardened_idx(2).unwrap(),
                ChildNumber::from_normal_idx(2).unwrap(),
                ChildNumber::from_normal_idx(1000000000).unwrap(),
            ].into())
        );
    }

    #[test]
    fn test_derivation_path_conversion_index() {
        let path = DerivationPath::from_str("m/0h/1/2'").unwrap();
        let numbers: Vec<ChildNumber> = path.clone().into();
        let path2: DerivationPath = numbers.into();
        assert_eq!(path, path2);
        assert_eq!(&path[..2], &[ChildNumber::from_hardened_idx(0).unwrap(), ChildNumber::from_normal_idx(1).unwrap()]);
        let indexed: DerivationPath = path[..2].into();
        assert_eq!(indexed, DerivationPath::from_str("m/0h/1").unwrap());
        assert_eq!(indexed.child(ChildNumber::from_hardened_idx(2).unwrap()), path);
    }

    fn test_path<C: secp256k1::Signing + secp256k1::Verification>(secp: &Secp256k1<C>,
                 network: Network,
                 seed: &[u8],
                 path: DerivationPath,
                 expected_sk: &str,
                 expected_pk: &str) {

        let mut sk = ExtendedPrivKey::new_master(network, seed).unwrap();
        let mut pk = ExtendedPubKey::from_private(secp, &sk);

        // Check derivation convenience method for ExtendedPrivKey
        assert_eq!(
            &sk.derive_priv(secp, &path).unwrap().to_string()[..],
            expected_sk
        );

        // Check derivation convenience method for ExtendedPubKey, should error
        // appropriately if any ChildNumber is hardened
        if path.0.iter().any(|cnum| cnum.is_hardened()) {
            assert_eq!(
                pk.derive_pub(secp, &path),
                Err(Error::CannotDeriveFromHardenedKey)
            );
        } else {
            assert_eq!(
                &pk.derive_pub(secp, &path).unwrap().to_string()[..],
                expected_pk
            );
        }

        // Derive keys, checking hardened and non-hardened derivation one-by-one
        for &num in path.0.iter() {
            sk = sk.ckd_priv(secp, num).unwrap();
            match num {
                Normal {..} => {
                    let pk2 = pk.ckd_pub(secp, num).unwrap();
                    pk = ExtendedPubKey::from_private(secp, &sk);
                    assert_eq!(pk, pk2);
                }
                Hardened {..} => {
                    assert_eq!(
                        pk.ckd_pub(secp, num),
                        Err(Error::CannotDeriveFromHardenedKey)
                    );
                    pk = ExtendedPubKey::from_private(secp, &sk);
                }
            }
        }

        // Check result against expected base58
        assert_eq!(&sk.to_string()[..], expected_sk);
        assert_eq!(&pk.to_string()[..], expected_pk);
        // Check decoded base58 against result
        let decoded_sk = ExtendedPrivKey::from_str(expected_sk);
        let decoded_pk = ExtendedPubKey::from_str(expected_pk);
        assert_eq!(Ok(sk), decoded_sk);
        assert_eq!(Ok(pk), decoded_pk);
    }

    #[test]
    fn test_increment() {
        let idx = 9345497; // randomly generated, I promise
        let cn = ChildNumber::from_normal_idx(idx).unwrap();
        assert_eq!(cn.increment().ok(), Some(ChildNumber::from_normal_idx(idx+1).unwrap()));
        let cn = ChildNumber::from_hardened_idx(idx).unwrap();
        assert_eq!(cn.increment().ok(), Some(ChildNumber::from_hardened_idx(idx+1).unwrap()));

        let max = (1<<31)-1;
        let cn = ChildNumber::from_normal_idx(max).unwrap();
        assert_eq!(cn.increment().err(), Some(Error::InvalidChildNumber(1<<31)));
        let cn = ChildNumber::from_hardened_idx(max).unwrap();
        assert_eq!(cn.increment().err(), Some(Error::InvalidChildNumber(1<<31)));

        let cn = ChildNumber::from_normal_idx(350).unwrap();
        let path = DerivationPath::from_str("m/42'").unwrap();
        let mut iter = path.children_from(cn);
        assert_eq!(iter.next(), Some("m/42'/350".parse().unwrap()));
        assert_eq!(iter.next(), Some("m/42'/351".parse().unwrap()));

        let path = DerivationPath::from_str("m/42'/350'").unwrap();
        let mut iter = path.normal_children();
        assert_eq!(iter.next(), Some("m/42'/350'/0".parse().unwrap()));
        assert_eq!(iter.next(), Some("m/42'/350'/1".parse().unwrap()));

        let path = DerivationPath::from_str("m/42'/350'").unwrap();
        let mut iter = path.hardened_children();
        assert_eq!(iter.next(), Some("m/42'/350'/0'".parse().unwrap()));
        assert_eq!(iter.next(), Some("m/42'/350'/1'".parse().unwrap()));

        let cn = ChildNumber::from_hardened_idx(42350).unwrap();
        let path = DerivationPath::from_str("m/42'").unwrap();
        let mut iter = path.children_from(cn);
        assert_eq!(iter.next(), Some("m/42'/42350'".parse().unwrap()));
        assert_eq!(iter.next(), Some("m/42'/42351'".parse().unwrap()));

        let cn = ChildNumber::from_hardened_idx(max).unwrap();
        let path = DerivationPath::from_str("m/42'").unwrap();
        let mut iter = path.children_from(cn);
        assert!(iter.next().is_some());
        assert!(iter.next().is_none());
    }

    #[test]
    fn test_vector_1() {
        let secp = Secp256k1::new();
        let seed = Vec::from_hex("000102030405060708090a0b0c0d0e0f").unwrap();

        // m
        test_path(&secp, Bitcoin, &seed, "m".parse().unwrap(),
                  "xprv9s21ZrQH143K3QTDL4LXw2F7HEK3wJUD2nW2nRk4stbPy6cq3jPPqjiChkVvvNKmPGJxWUtg6LnF5kejMRNNU3TGtRBeJgk33yuGBxrMPHi",
                  "xpub661MyMwAqRbcFtXgS5sYJABqqG9YLmC4Q1Rdap9gSE8NqtwybGhePY2gZ29ESFjqJoCu1Rupje8YtGqsefD265TMg7usUDFdp6W1EGMcet8");

        // m/0h
        test_path(&secp, Bitcoin, &seed, "m/0h".parse().unwrap(),
                  "xprv9uHRZZhk6KAJC1avXpDAp4MDc3sQKNxDiPvvkX8Br5ngLNv1TxvUxt4cV1rGL5hj6KCesnDYUhd7oWgT11eZG7XnxHrnYeSvkzY7d2bhkJ7",
                  "xpub68Gmy5EdvgibQVfPdqkBBCHxA5htiqg55crXYuXoQRKfDBFA1WEjWgP6LHhwBZeNK1VTsfTFUHCdrfp1bgwQ9xv5ski8PX9rL2dZXvgGDnw");

        // m/0h/1
        test_path(&secp, Bitcoin, &seed, "m/0h/1".parse().unwrap(),
                   "xprv9wTYmMFdV23N2TdNG573QoEsfRrWKQgWeibmLntzniatZvR9BmLnvSxqu53Kw1UmYPxLgboyZQaXwTCg8MSY3H2EU4pWcQDnRnrVA1xe8fs",
                   "xpub6ASuArnXKPbfEwhqN6e3mwBcDTgzisQN1wXN9BJcM47sSikHjJf3UFHKkNAWbWMiGj7Wf5uMash7SyYq527Hqck2AxYysAA7xmALppuCkwQ");

        // m/0h/1/2h
        test_path(&secp, Bitcoin, &seed, "m/0h/1/2h".parse().unwrap(),
                  "xprv9z4pot5VBttmtdRTWfWQmoH1taj2axGVzFqSb8C9xaxKymcFzXBDptWmT7FwuEzG3ryjH4ktypQSAewRiNMjANTtpgP4mLTj34bhnZX7UiM",
                  "xpub6D4BDPcP2GT577Vvch3R8wDkScZWzQzMMUm3PWbmWvVJrZwQY4VUNgqFJPMM3No2dFDFGTsxxpG5uJh7n7epu4trkrX7x7DogT5Uv6fcLW5");

        // m/0h/1/2h/2
        test_path(&secp, Bitcoin, &seed, "m/0h/1/2h/2".parse().unwrap(),
                  "xprvA2JDeKCSNNZky6uBCviVfJSKyQ1mDYahRjijr5idH2WwLsEd4Hsb2Tyh8RfQMuPh7f7RtyzTtdrbdqqsunu5Mm3wDvUAKRHSC34sJ7in334",
                  "xpub6FHa3pjLCk84BayeJxFW2SP4XRrFd1JYnxeLeU8EqN3vDfZmbqBqaGJAyiLjTAwm6ZLRQUMv1ZACTj37sR62cfN7fe5JnJ7dh8zL4fiyLHV");

        // m/0h/1/2h/2/1000000000
        test_path(&secp, Bitcoin, &seed, "m/0h/1/2h/2/1000000000".parse().unwrap(),
                  "xprvA41z7zogVVwxVSgdKUHDy1SKmdb533PjDz7J6N6mV6uS3ze1ai8FHa8kmHScGpWmj4WggLyQjgPie1rFSruoUihUZREPSL39UNdE3BBDu76",
                  "xpub6H1LXWLaKsWFhvm6RVpEL9P4KfRZSW7abD2ttkWP3SSQvnyA8FSVqNTEcYFgJS2UaFcxupHiYkro49S8yGasTvXEYBVPamhGW6cFJodrTHy");
    }

    #[test]
    fn test_vector_2() {
        let secp = Secp256k1::new();
        let seed = Vec::from_hex("fffcf9f6f3f0edeae7e4e1dedbd8d5d2cfccc9c6c3c0bdbab7b4b1aeaba8a5a29f9c999693908d8a8784817e7b7875726f6c696663605d5a5754514e4b484542").unwrap();

        // m
        test_path(&secp, Bitcoin, &seed, "m".parse().unwrap(),
                  "xprv9s21ZrQH143K31xYSDQpPDxsXRTUcvj2iNHm5NUtrGiGG5e2DtALGdso3pGz6ssrdK4PFmM8NSpSBHNqPqm55Qn3LqFtT2emdEXVYsCzC2U",
                  "xpub661MyMwAqRbcFW31YEwpkMuc5THy2PSt5bDMsktWQcFF8syAmRUapSCGu8ED9W6oDMSgv6Zz8idoc4a6mr8BDzTJY47LJhkJ8UB7WEGuduB");

        // m/0
        test_path(&secp, Bitcoin, &seed, "m/0".parse().unwrap(),
                  "xprv9vHkqa6EV4sPZHYqZznhT2NPtPCjKuDKGY38FBWLvgaDx45zo9WQRUT3dKYnjwih2yJD9mkrocEZXo1ex8G81dwSM1fwqWpWkeS3v86pgKt",
                  "xpub69H7F5d8KSRgmmdJg2KhpAK8SR3DjMwAdkxj3ZuxV27CprR9LgpeyGmXUbC6wb7ERfvrnKZjXoUmmDznezpbZb7ap6r1D3tgFxHmwMkQTPH");

        // m/0/2147483647h
        test_path(&secp, Bitcoin, &seed, "m/0/2147483647h".parse().unwrap(),
                  "xprv9wSp6B7kry3Vj9m1zSnLvN3xH8RdsPP1Mh7fAaR7aRLcQMKTR2vidYEeEg2mUCTAwCd6vnxVrcjfy2kRgVsFawNzmjuHc2YmYRmagcEPdU9",
                  "xpub6ASAVgeehLbnwdqV6UKMHVzgqAG8Gr6riv3Fxxpj8ksbH9ebxaEyBLZ85ySDhKiLDBrQSARLq1uNRts8RuJiHjaDMBU4Zn9h8LZNnBC5y4a");

        // m/0/2147483647h/1
        test_path(&secp, Bitcoin, &seed, "m/0/2147483647h/1".parse().unwrap(),
                  "xprv9zFnWC6h2cLgpmSA46vutJzBcfJ8yaJGg8cX1e5StJh45BBciYTRXSd25UEPVuesF9yog62tGAQtHjXajPPdbRCHuWS6T8XA2ECKADdw4Ef",
                  "xpub6DF8uhdarytz3FWdA8TvFSvvAh8dP3283MY7p2V4SeE2wyWmG5mg5EwVvmdMVCQcoNJxGoWaU9DCWh89LojfZ537wTfunKau47EL2dhHKon");

        // m/0/2147483647h/1/2147483646h
        test_path(&secp, Bitcoin, &seed, "m/0/2147483647h/1/2147483646h".parse().unwrap(),
                  "xprvA1RpRA33e1JQ7ifknakTFpgNXPmW2YvmhqLQYMmrj4xJXXWYpDPS3xz7iAxn8L39njGVyuoseXzU6rcxFLJ8HFsTjSyQbLYnMpCqE2VbFWc",
                  "xpub6ERApfZwUNrhLCkDtcHTcxd75RbzS1ed54G1LkBUHQVHQKqhMkhgbmJbZRkrgZw4koxb5JaHWkY4ALHY2grBGRjaDMzQLcgJvLJuZZvRcEL");

        // m/0/2147483647h/1/2147483646h/2
        test_path(&secp, Bitcoin, &seed, "m/0/2147483647h/1/2147483646h/2".parse().unwrap(),
                  "xprvA2nrNbFZABcdryreWet9Ea4LvTJcGsqrMzxHx98MMrotbir7yrKCEXw7nadnHM8Dq38EGfSh6dqA9QWTyefMLEcBYJUuekgW4BYPJcr9E7j",
                  "xpub6FnCn6nSzZAw5Tw7cgR9bi15UV96gLZhjDstkXXxvCLsUXBGXPdSnLFbdpq8p9HmGsApME5hQTZ3emM2rnY5agb9rXpVGyy3bdW6EEgAtqt");
    }

    #[test]
    fn test_vector_3() {
        let secp = Secp256k1::new();
        let seed = Vec::from_hex("4b381541583be4423346c643850da4b320e46a87ae3d2a4e6da11eba819cd4acba45d239319ac14f863b8d5ab5a0d0c64d2e8a1e7d1457df2e5a3c51c73235be").unwrap();

        // m
        test_path(&secp, Bitcoin, &seed, "m".parse().unwrap(),
                  "xprv9s21ZrQH143K25QhxbucbDDuQ4naNntJRi4KUfWT7xo4EKsHt2QJDu7KXp1A3u7Bi1j8ph3EGsZ9Xvz9dGuVrtHHs7pXeTzjuxBrCmmhgC6",
                  "xpub661MyMwAqRbcEZVB4dScxMAdx6d4nFc9nvyvH3v4gJL378CSRZiYmhRoP7mBy6gSPSCYk6SzXPTf3ND1cZAceL7SfJ1Z3GC8vBgp2epUt13");

        // m/0h
        test_path(&secp, Bitcoin, &seed, "m/0h".parse().unwrap(),
                  "xprv9uPDJpEQgRQfDcW7BkF7eTya6RPxXeJCqCJGHuCJ4GiRVLzkTXBAJMu2qaMWPrS7AANYqdq6vcBcBUdJCVVFceUvJFjaPdGZ2y9WACViL4L",
                  "xpub68NZiKmJWnxxS6aaHmn81bvJeTESw724CRDs6HbuccFQN9Ku14VQrADWgqbhhTHBaohPX4CjNLf9fq9MYo6oDaPPLPxSb7gwQN3ih19Zm4Y");

    }

    #[test]
    #[cfg(feature = "serde")]
    pub fn encode_decode_childnumber() {
        serde_round_trip!(ChildNumber::from_normal_idx(0).unwrap());
        serde_round_trip!(ChildNumber::from_normal_idx(1).unwrap());
        serde_round_trip!(ChildNumber::from_normal_idx((1 << 31) - 1).unwrap());
        serde_round_trip!(ChildNumber::from_hardened_idx(0).unwrap());
        serde_round_trip!(ChildNumber::from_hardened_idx(1).unwrap());
        serde_round_trip!(ChildNumber::from_hardened_idx((1 << 31) - 1).unwrap());
    }

    #[test]
    #[cfg(feature = "serde")]
    pub fn encode_fingerprint_chaincode() {
        use serde_json;
        let fp = Fingerprint::from(&[1u8,2,3,42][..]);
        let cc = ChainCode::from(
            &[1u8,2,3,4,5,6,7,8,9,0,1,2,3,4,5,6,7,8,9,0,1,2,3,4,5,6,7,8,9,0,1,2][..]
        );

        serde_round_trip!(fp);
        serde_round_trip!(cc);

        assert_eq!("\"0102032a\"", serde_json::to_string(&fp).unwrap());
        assert_eq!(
            "\"0102030405060708090001020304050607080900010203040506070809000102\"",
            serde_json::to_string(&cc).unwrap()
        );
        assert_eq!("0102032a", fp.to_string());
        assert_eq!(
            "0102030405060708090001020304050607080900010203040506070809000102",
            cc.to_string()
        );
    }
}