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
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
// This file is part of Gear.

// Copyright (C) 2021-2024 Gear Technologies Inc.
// SPDX-License-Identifier: GPL-3.0-or-later WITH Classpath-exception-2.0

// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.

// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.

// You should have received a copy of the GNU General Public License
// along with this program. If not, see <https://www.gnu.org/licenses/>.

use super::*;
use crate::storage::MapStorage;

/// Output of `TreeImpl::catch_value` call.
#[derive(Debug, Clone, Copy)]
enum CatchValueOutput<Balance> {
    /// Catching value is impossible, therefore blocked.
    Blocked,
    /// Value was not caught, because was moved to the patron node.
    ///
    /// For more info about patron nodes see `TreeImpl::find_ancestor_patron`
    Missed,
    /// Value was caught and will be removed from the node
    Caught(Balance),
}

impl<Balance: BalanceTrait> CatchValueOutput<Balance> {
    fn into_consume_output<ExternalId, Funds>(
        self,
        origin: ExternalId,
        multiplier: GasMultiplier<Funds, Balance>,
    ) -> Option<(
        NegativeImbalance<Balance>,
        GasMultiplier<Funds, Balance>,
        ExternalId,
    )> {
        match self {
            CatchValueOutput::Caught(value) => {
                Some((NegativeImbalance::new(value), multiplier, origin))
            }
            _ => None,
        }
    }

    fn is_blocked(&self) -> bool {
        matches!(self, CatchValueOutput::Blocked)
    }

    fn is_caught(&self) -> bool {
        matches!(self, CatchValueOutput::Caught(_))
    }
}

pub struct TreeImpl<TotalValue, InternalError, Error, ExternalId, NodeId, StorageMap>(
    PhantomData<(
        TotalValue,
        InternalError,
        Error,
        ExternalId,
        NodeId,
        StorageMap,
    )>,
);

impl<TotalValue, Balance, Funds, InternalError, Error, ExternalId, NodeId, StorageMap>
    TreeImpl<TotalValue, InternalError, Error, ExternalId, NodeId, StorageMap>
where
    Balance: BalanceTrait,
    Funds: Clone,
    TotalValue: ValueStorage<Value = Balance>,
    InternalError: super::Error,
    Error: From<InternalError>,
    ExternalId: Clone,
    NodeId: Copy,
    StorageMap: MapStorage<Key = NodeId, Value = GasNode<ExternalId, NodeId, Balance, Funds>>,
{
    pub(super) fn get_node(key: impl Into<NodeId>) -> Option<StorageMap::Value> {
        StorageMap::get(&key.into())
    }

    /// Returns the first parent, that is able to hold a concrete value, but
    /// doesn't necessarily have a non-zero value, along with it's id.
    ///
    /// Node itself is considered as a self-parent too. The gas tree holds
    /// invariant, that all the nodes with unspecified value always have a
    /// parent with a specified value.
    ///
    /// The id of the returned node is of `Option` type. If it's `None`, it
    /// means, that the ancestor and `self` are the same.
    pub(super) fn node_with_value(
        node: StorageMap::Value,
    ) -> Result<(StorageMap::Value, Option<NodeId>), Error> {
        let mut ret_node = node;
        let mut ret_id = None;
        if let GasNode::UnspecifiedLocal { parent, .. } = ret_node {
            ret_id = Some(parent);
            ret_node = Self::get_node(parent).ok_or_else(InternalError::parent_is_lost)?;
            if !(ret_node.is_external() || ret_node.is_specified_local() || ret_node.is_reserved())
            {
                return Err(InternalError::unexpected_node_type().into());
            }
        }

        Ok((ret_node, ret_id))
    }

    pub(super) fn decrease_parents_ref(node: &StorageMap::Value) -> Result<(), Error> {
        let id = match node.parent() {
            Some(id) => id,
            None => return Ok(()),
        };

        let mut parent = Self::get_node(id).ok_or_else(InternalError::parent_is_lost)?;
        if parent.refs() == 0 {
            return Err(InternalError::parent_has_no_children().into());
        }

        match node {
            GasNode::SpecifiedLocal { .. } => {
                parent.decrease_spec_refs();
            }
            GasNode::UnspecifiedLocal { .. } => {
                parent.decrease_unspec_refs();
            }
            _ => return Err(InternalError::unexpected_node_type().into()),
        }

        // Update parent node
        StorageMap::insert(id, parent);

        Ok(())
    }

    /// Tries to __"catch"__ the value inside the node if possible.
    ///
    /// If the node is a patron or of unspecified type, value is blocked, i.e.
    /// can't be removed or impossible to hold value to be removed.
    ///
    /// If the node is not a patron, but it has an ancestor patron, value is
    /// moved to it. So the patron's balance is increased (mutated).
    /// Otherwise the value is caught and removed from the tree. In both
    /// cases the `self` node's balance is zeroed.
    ///
    /// # Note
    /// Method doesn't mutate `self` in the storage, but only changes it's
    /// balance in memory.
    fn catch_value(node: &mut StorageMap::Value) -> Result<CatchValueOutput<Balance>, Error> {
        if node.is_patron() {
            return Ok(CatchValueOutput::Blocked);
        }

        if !node.is_unspecified_local() {
            if let Some((mut patron, patron_id)) = Self::find_ancestor_patron(node)? {
                let self_value = node
                    .value_mut()
                    .ok_or_else(InternalError::unexpected_node_type)?;
                if self_value.is_zero() {
                    // Early return to prevent redundant storage look-ups
                    return Ok(CatchValueOutput::Missed);
                }
                let patron_value = patron
                    .value_mut()
                    .ok_or_else(InternalError::unexpected_node_type)?;
                *patron_value = patron_value.saturating_add(*self_value);
                *self_value = Zero::zero();
                StorageMap::insert(patron_id, patron);

                Ok(CatchValueOutput::Missed)
            } else {
                let self_value = node
                    .value_mut()
                    .ok_or_else(InternalError::unexpected_node_type)?;
                let value_copy = *self_value;
                *self_value = Zero::zero();

                Ok(CatchValueOutput::Caught(value_copy))
            }
        } else {
            Ok(CatchValueOutput::Blocked)
        }
    }

    /// Looks for `self` node's patron ancestor.
    ///
    /// A patron node is the node, on which some other nodes in the tree rely.
    /// More precisely, unspecified local nodes rely on nodes with value, so
    /// specified nodes as `GasNode::External` and `GasNode::SpecifiedLocal`
    /// are patron ones. The other criteria for a node to be marked as the
    /// patron one is not being consumed - value of such nodes mustn't be
    /// moved, because node itself rely on it.
    #[allow(clippy::type_complexity)]
    fn find_ancestor_patron(
        node: &StorageMap::Value,
    ) -> Result<Option<(StorageMap::Value, NodeId)>, Error> {
        match node {
            GasNode::External { .. } | GasNode::Cut { .. } | GasNode::Reserved { .. } => Ok(None),
            GasNode::SpecifiedLocal { parent, .. } => {
                let mut ret_id = *parent;
                let mut ret_node =
                    Self::get_node(*parent).ok_or_else(InternalError::parent_is_lost)?;
                while !ret_node.is_patron() {
                    match ret_node {
                        GasNode::External { .. } | GasNode::Reserved { .. } => return Ok(None),
                        GasNode::SpecifiedLocal { parent, .. } => {
                            ret_id = parent;
                            ret_node =
                                Self::get_node(parent).ok_or_else(InternalError::parent_is_lost)?;
                        }
                        _ => return Err(InternalError::unexpected_node_type().into()),
                    }
                }
                Ok(Some((ret_node, ret_id)))
            }
            // Although unspecified local type has a patron parent, it's considered
            // an error to call the method from that type of gas node.
            GasNode::UnspecifiedLocal { .. } => Err(InternalError::forbidden().into()),
        }
    }

    /// Tries to remove consumed nodes on the same path from the `key` node to
    /// the root (including it). While trying to remove nodes, also catches
    /// value stored in them is performed.
    ///
    /// Value catch is performed for all the non-patron nodes on the path from
    /// `key` to root, until some patron node is reached. By the invariant,
    /// catching can't be blocked, because the node is not a patron.
    ///
    /// For node removal there are 2 main requirements:
    /// 1. It's not a patron node
    /// 2. It doesn't have any children nodes.
    ///
    /// Although the value in nodes is moved or returned to the origin, calling
    /// `GasNode::catch_value` in this procedure can still result in catching
    /// non-zero value. That's possible for example, when gasful parent is
    /// consumed and has a gas-less child. When gas-less child is consumed
    /// in `ValueTree::consume` call, the gasful parent's value is caught
    /// in this function.
    ///
    /// # Invariants
    /// Internal invariant of the procedure:
    ///
    /// 1. If `catch_value` call ended up with `CatchValueOutput::Missed` in
    ///    `consume`, all the calls of catch_value on ancestor nodes will be
    ///    `CatchValueOutput::Missed` as well.
    ///
    /// That's because if there is an existing ancestor patron on the path from
    /// the `key` node to the root, catching value on all the nodes before that
    /// patron on this same path will give the same `CatchValueOutput::Missed`
    /// result due to the fact that they all have same ancestor patron, which
    /// will receive their values.
    ///
    /// 2. Also in that case cascade ancestors consumption will last until
    ///    either the patron node or the first ancestor with specified child found.
    ///
    /// 3. If `catch_value` call ended up with `CatchValueOutput::Caught(x)` in
    ///    `consume`, all the calls of `catch_value` on ancestor nodes will be
    ///    `CatchValueOutput::Caught(0)`.
    ///
    /// That's due to the 12-th invariant stated in [`super::property_tests`]
    ///   module docs. When node becomes consumed without unspec refs (i.e.,
    ///   stops being a patron) `consume` procedure call on such node either
    ///   moves value upstream (if there is an ancestor patron) or returns
    ///   value to the origin. So any repetitive `catch_value` call on such
    ///   nodes results in `CatchValueOutput::Caught(0)` (if there is an
    ///   ancestor patron).
    ///
    /// So if `consume` procedure on the node with `key` id resulted in value
    ///    being caught, it means that there are no ancestor patrons, so none of
    ///    `catch_value` calls on the node's ancestors will return
    ///    `CatchValueOutput::Missed`, but will return
    ///    `CatchValueOutput::Caught(0)`.
    fn try_remove_consumed_ancestors(
        key: NodeId,
        descendant_catch_output: CatchValueOutput<Balance>,
    ) -> ConsumeResultOf<Self> {
        let mut node_id = key;

        let mut node = Self::get_node(key).ok_or_else(InternalError::node_not_found)?;
        let mut consume_output = None;
        let (external, multiplier, _) = Self::get_origin_node(key)?;

        // Descendant's `catch_value` output is used for the sake of optimization.
        // We could easily run `catch_value` in the below `while` loop each time
        // we process the ancestor. But that would lead to quadratic complexity
        // of the `consume` & `try_remove_consumed_ancestors` procedures.
        //
        // In order to optimize that we use internal properties of the `consume`
        // procedure described in the function's docs. The general idea of the
        // optimization is that in some situations there is no need in
        // `catch_value` call, because results will be the same for
        // all the ancestors.
        let mut catch_output = if descendant_catch_output.is_caught() {
            CatchValueOutput::Caught(Zero::zero())
        } else {
            descendant_catch_output
        };
        while !node.is_patron() {
            if catch_output.is_blocked() {
                catch_output = Self::catch_value(&mut node)?;
            }

            // The node is not a patron and can't be of unspecified type.
            if catch_output.is_blocked() {
                return Err(InternalError::value_is_blocked().into());
            }

            consume_output = consume_output
                .or_else(|| catch_output.into_consume_output(external.clone(), multiplier.clone()));

            if node.spec_refs() == 0 {
                Self::decrease_parents_ref(&node)?;
                StorageMap::remove(node_id);

                match node {
                    GasNode::External { .. } | GasNode::Reserved { .. } => {
                        if !catch_output.is_caught() {
                            return Err(InternalError::value_is_not_caught().into());
                        }
                        return Ok(consume_output);
                    }
                    GasNode::SpecifiedLocal { parent, .. } => {
                        node_id = parent;
                        node = Self::get_node(parent).ok_or_else(InternalError::parent_is_lost)?;
                    }
                    _ => return Err(InternalError::unexpected_node_type().into()),
                }
            } else {
                StorageMap::insert(node_id, node);
                return Ok(consume_output);
            }
        }

        Ok(consume_output)
    }

    /// Create ValueNode from node key with value
    fn create_from_with_value(
        key: impl Into<NodeId>,
        new_node_key: impl Into<NodeId>,
        amount: Balance,
        constructor: impl FnOnce(
            NodeId,
            Balance,
            &mut GasNode<ExternalId, NodeId, Balance, Funds>,
            NodeId,
        ) -> Result<GasNode<ExternalId, NodeId, Balance, Funds>, Error>,
    ) -> Result<(), Error> {
        let key = key.into();
        let new_node_key = new_node_key.into();

        // Check if there is no node with such key yet first.
        // This also checks if key == new_node_key.
        if StorageMap::contains_key(&new_node_key) {
            return Err(InternalError::node_already_exists().into());
        }

        let (mut node, node_id) =
            Self::node_with_value(Self::get_node(key).ok_or_else(InternalError::node_not_found)?)?;
        // Check if the parent node is cut
        if node.is_cut() {
            return Err(InternalError::forbidden().into());
        }

        // A `node` is guaranteed to have inner_value here, because
        // it was queried after `Self::node_with_value` call.
        if node
            .value()
            .ok_or_else(InternalError::unexpected_node_type)?
            < amount
        {
            return Err(InternalError::insufficient_balance().into());
        }

        let node_id = node_id.unwrap_or(key);

        let new_node = constructor(key, amount, &mut node, node_id)?;

        // Save new node
        StorageMap::insert(new_node_key, new_node);

        let node_value = node
            .value_mut()
            .ok_or_else(InternalError::unexpected_node_type)?;

        *node_value = node_value.saturating_sub(amount);

        StorageMap::insert(node_id, node);

        Ok(())
    }

    // Get limit node fn that may work with both: consumed and not, depending on `validate` argument.
    fn get_limit_node_impl(
        key: impl Into<NodeId>,
        validate: impl FnOnce(&GasNode<ExternalId, NodeId, Balance, Funds>) -> Result<(), Error>,
    ) -> Result<(Balance, NodeId), Error> {
        let key = key.into();

        let node = Self::get_node(key).ok_or_else(InternalError::node_not_found)?;

        validate(&node)?;

        let (node_with_value, maybe_key) = Self::node_with_value(node)?;

        // The node here is external, specified or reserved hence has the inner value
        let v = node_with_value
            .value()
            .ok_or_else(InternalError::unexpected_node_type)?;

        Ok((v, maybe_key.unwrap_or(key)))
    }
}

impl<TotalValue, Balance, Funds, InternalError, Error, ExternalId, NodeId, StorageMap> Tree
    for TreeImpl<TotalValue, InternalError, Error, ExternalId, NodeId, StorageMap>
where
    Balance: BalanceTrait,
    Funds: Clone,
    TotalValue: ValueStorage<Value = Balance>,
    InternalError: super::Error,
    Error: From<InternalError>,
    ExternalId: Clone,
    NodeId: Copy,
    StorageMap: MapStorage<Key = NodeId, Value = GasNode<ExternalId, NodeId, Balance, Funds>>,
{
    type ExternalOrigin = ExternalId;
    type NodeId = NodeId;
    type Balance = Balance;
    type Funds = Funds;

    type PositiveImbalance = PositiveImbalance<Balance>;
    type NegativeImbalance = NegativeImbalance<Balance>;

    type InternalError = InternalError;
    type Error = Error;

    fn total_supply() -> Self::Balance {
        TotalValue::get().unwrap_or_else(Zero::zero)
    }

    fn create(
        origin: Self::ExternalOrigin,
        multiplier: GasMultiplier<Self::Funds, Self::Balance>,
        key: impl Into<Self::NodeId>,
        amount: Self::Balance,
    ) -> Result<Self::PositiveImbalance, Self::Error> {
        let key = key.into();

        if StorageMap::contains_key(&key) {
            return Err(InternalError::node_already_exists().into());
        }

        let node = GasNode::new(origin, multiplier, amount, false);

        // Save value node to storage
        StorageMap::insert(key, node);

        let positive_imbalance = PositiveImbalance::new(amount);

        // Update Total in storage
        TotalValue::mutate(|total| {
            positive_imbalance.apply_to(total).map_err(|_| {
                *total = None;
                InternalError::total_value_is_overflowed()
            })
        })?;

        Ok(positive_imbalance)
    }

    fn get_origin_node(
        key: impl Into<Self::NodeId>,
    ) -> Result<OriginNodeDataOf<Self>, Self::Error> {
        let key = key.into();
        let node = Self::get_node(key).ok_or_else(InternalError::node_not_found)?;

        if let Some((external_origin, multiplier)) = node.external_data() {
            Ok((external_origin, multiplier, key))
        } else {
            let root_id = node
                .root_id()
                .unwrap_or_else(|| unreachable!("Guaranteed by GasNode::root_id() fn"));

            let root_node = Self::get_node(root_id).ok_or_else(InternalError::node_not_found)?;

            let (external_origin, multiplier) = root_node
                .external_data()
                .unwrap_or_else(|| unreachable!("Guaranteed by GasNode::root_id() fn"));
            Ok((external_origin, multiplier, root_id))
        }
    }

    fn get_limit_node(
        key: impl Into<Self::NodeId>,
    ) -> Result<(Self::Balance, Self::NodeId), Self::Error> {
        let key = key.into();

        Self::get_limit_node_impl(key, |node| {
            if node.is_consumed() {
                Err(InternalError::node_was_consumed().into())
            } else {
                Ok(())
            }
        })
    }

    fn get_limit_node_consumed(
        key: impl Into<Self::NodeId>,
    ) -> Result<(Self::Balance, Self::NodeId), Self::Error> {
        let key = key.into();

        Self::get_limit_node_impl(key, |node| {
            if node.is_consumed() {
                Ok(())
            } else {
                Err(InternalError::forbidden().into())
            }
        })
    }

    /// Marks a node with `key` as consumed, if possible, and tries to return
    /// it's value and delete it. The function performs same procedure with all
    /// the nodes on the path from it to the root, if possible.
    ///
    /// Marking a node as `consumed` is possible only for `GasNode::External`
    /// and `GasNode::SpecifiedLocal` nodes. That is because these nodes can
    /// be not deleted after the function call, because of, for instance,
    /// having children refs. Such nodes as `GasNode::UnspecifiedLocal`
    /// and `GasNode::ReservedLocal` are removed when the function is
    /// called, so there is no need for marking them as consumed.
    ///
    /// When consuming the node, it's value is mutated by calling `catch_value`,
    /// which tries to either return or move value upstream if possible.
    /// Read the `catch_value` function's documentation for details.
    ///
    /// To delete node, here should be two requirements:
    /// 1. `Self::consume` was called on the node.
    /// 2. The node has no children, i.e. spec/unspec refs.
    ///
    /// So if it's impossible to delete a node, then it's impossible to delete
    /// its parent in the current call. Also if it's possible to delete a node,
    /// then it doesn't necessarily mean that its parent will be deleted. An
    /// example here could be the case, when during async execution original
    /// message went to wait list, so wasn't consumed but the one generated
    /// during the execution of the original message went to message queue
    /// and was successfully executed.
    fn consume(key: impl Into<Self::NodeId>) -> ConsumeResultOf<Self> {
        let key = key.into();
        let mut node = Self::get_node(key).ok_or_else(InternalError::node_not_found)?;

        #[cfg(feature = "fuzz")]
        {
            let s = fail::FailScenario::setup();
            // This is a fail point with name `fail_fuzzer`.
            // It's supposed to return an error if `FAILPOINTS`
            // env variable is set.
            fail::fail_point!("fail_fuzzer", |_| {
                // We intentionally return this error, as it has
                // unique usage here and we won't confuse it with
                // other real errors.
                Err(InternalError::node_already_exists().into())
            });
            s.teardown();
        }

        if node.is_consumed() {
            return Err(InternalError::node_was_consumed().into());
        }

        // Check if at least one lock has not been released
        if !node.lock().is_zero() {
            return Err(InternalError::consumed_with_lock().into());
        }

        if let Some(system_reserve) = node.system_reserve() {
            if !system_reserve.is_zero() {
                return Err(InternalError::consumed_with_system_reservation().into());
            }
        }

        node.mark_consumed();
        let catch_output = Self::catch_value(&mut node)?;
        let (external, multiplier, _) = Self::get_origin_node(key)?;

        let res = if node.refs() == 0 {
            Self::decrease_parents_ref(&node)?;
            StorageMap::remove(key);

            match node {
                GasNode::External { .. } | GasNode::Cut { .. } | GasNode::Reserved { .. } => {
                    if !catch_output.is_caught() {
                        return Err(InternalError::value_is_not_caught().into());
                    }
                    catch_output.into_consume_output(external, multiplier)
                }
                GasNode::UnspecifiedLocal { parent, .. } => {
                    if !catch_output.is_blocked() {
                        return Err(InternalError::value_is_not_blocked().into());
                    }
                    Self::try_remove_consumed_ancestors(parent, catch_output)?
                }
                GasNode::SpecifiedLocal { parent, .. } => {
                    if catch_output.is_blocked() {
                        return Err(InternalError::value_is_blocked().into());
                    }
                    let consume_output = catch_output.into_consume_output(external, multiplier);
                    let consume_ancestors_output =
                        Self::try_remove_consumed_ancestors(parent, catch_output)?;
                    match (&consume_output, consume_ancestors_output) {
                        // value can't be caught in both procedures
                        (Some(_), Some((neg_imb, ..))) if neg_imb.peek().is_zero() => {
                            consume_output
                        }
                        (None, None) => consume_output,
                        _ => return Err(InternalError::unexpected_consume_output().into()),
                    }
                }
            }
        } else {
            if node.is_cut() || node.is_unspecified_local() {
                return Err(InternalError::unexpected_node_type().into());
            }

            StorageMap::insert(key, node);
            catch_output.into_consume_output(external, multiplier)
        };

        // Update Total in storage
        if let Some((negative_imbalance, ..)) = res.as_ref() {
            TotalValue::mutate(|total| {
                negative_imbalance.apply_to(total).map_err(|_| {
                    *total = None;
                    InternalError::total_value_is_underflowed()
                })
            })?;
        }

        Ok(res)
    }

    /// Spends `amount` of gas from the ancestor of node with `key` id.
    ///
    /// Calling the function is possible even if an ancestor is consumed.
    ///
    /// ### Note:
    /// Node is considered as an ancestor of itself.
    fn spend(
        key: impl Into<Self::NodeId>,
        amount: Self::Balance,
    ) -> Result<Self::NegativeImbalance, Self::Error> {
        let key = key.into();

        // Upstream node with a concrete value exist for any node.
        // If it doesn't, the tree is considered invalidated.
        let (mut node, node_id) =
            Self::node_with_value(Self::get_node(key).ok_or_else(InternalError::node_not_found)?)?;

        // A `node` is guaranteed to have inner_value here, because it was
        // queried after `Self::node_with_value` call.
        let node_value = node
            .value_mut()
            .ok_or_else(InternalError::unexpected_node_type)?;

        if *node_value < amount {
            return Err(InternalError::insufficient_balance().into());
        }

        *node_value = node_value.saturating_sub(amount);
        log::debug!("Spent {:?} of gas", amount);

        // Save node that delivers limit
        StorageMap::insert(node_id.unwrap_or(key), node);

        let negative_imbalance = NegativeImbalance::new(amount);

        // Update Total in storage
        TotalValue::mutate(|total| {
            negative_imbalance.apply_to(total).map_err(|_| {
                *total = None;
                InternalError::total_value_is_underflowed()
            })
        })?;

        Ok(negative_imbalance)
    }

    fn split_with_value(
        key: impl Into<Self::NodeId>,
        new_key: impl Into<Self::NodeId>,
        amount: Self::Balance,
    ) -> Result<(), Self::Error> {
        Self::create_from_with_value(
            key,
            new_key,
            amount,
            |_key, value, parent_node, parent_id| {
                parent_node.increase_spec_refs();

                Ok(GasNode::SpecifiedLocal {
                    root: parent_node.root_id().unwrap_or(parent_id),
                    value,
                    lock: Zero::zero(),
                    system_reserve: Zero::zero(),
                    parent: parent_id,
                    refs: Default::default(),
                    consumed: false,
                })
            },
        )
    }

    fn split(
        key: impl Into<Self::NodeId>,
        new_key: impl Into<Self::NodeId>,
    ) -> Result<(), Self::Error> {
        let key = key.into();
        let new_key = new_key.into();

        let (mut node, node_id) =
            Self::node_with_value(Self::get_node(key).ok_or_else(InternalError::node_not_found)?)?;
        let node_id = node_id.unwrap_or(key);

        // Check if the value node is cut
        if node.is_cut() {
            return Err(InternalError::forbidden().into());
        }

        // This also checks if key == new_node_key
        if StorageMap::contains_key(&new_key) {
            return Err(InternalError::node_already_exists().into());
        }

        node.increase_unspec_refs();

        let new_node = GasNode::UnspecifiedLocal {
            root: node.root_id().unwrap_or(node_id),
            parent: node_id,
            lock: Zero::zero(),
            system_reserve: Zero::zero(),
        };

        // Save new node
        StorageMap::insert(new_key, new_node);
        // Update current node
        StorageMap::insert(node_id, node);

        Ok(())
    }

    fn cut(
        key: impl Into<Self::NodeId>,
        new_key: impl Into<Self::NodeId>,
        amount: Self::Balance,
    ) -> Result<(), Self::Error> {
        Self::create_from_with_value(
            key,
            new_key,
            amount,
            |key, value, _parent_node, _parent_id| {
                let (id, multiplier, _) = Self::get_origin_node(key)?;
                Ok(GasNode::Cut {
                    id,
                    multiplier,
                    value,
                    lock: Zero::zero(),
                })
            },
        )
    }

    fn create_deposit(
        key: impl Into<Self::NodeId>,
        new_key: impl Into<Self::NodeId>,
        amount: Self::Balance,
    ) -> Result<(), Self::Error> {
        Self::create_from_with_value(
            key,
            new_key,
            amount,
            |key, value, _parent_node, _parent_id| {
                let (id, multiplier, _) = Self::get_origin_node(key)?;
                Ok(GasNode::new(id, multiplier, value, true))
            },
        )
    }

    fn exists(key: impl Into<Self::NodeId>) -> bool {
        Self::get_node(key).is_some()
    }

    fn exists_and_deposit(key: impl Into<Self::NodeId>) -> bool {
        Self::get_node(key)
            .map(|node| matches!(node, GasNode::External { deposit: true, .. }))
            .unwrap_or(false)
    }

    fn clear() {
        TotalValue::kill();
        StorageMap::clear();
    }
}

impl<TotalValue, Balance, Funds, InternalError, Error, ExternalId, NodeId, StorageMap> LockableTree
    for TreeImpl<TotalValue, InternalError, Error, ExternalId, NodeId, StorageMap>
where
    Balance: BalanceTrait,
    Funds: Clone,
    TotalValue: ValueStorage<Value = Balance>,
    InternalError: super::Error,
    Error: From<InternalError>,
    ExternalId: Clone,
    NodeId: Copy,
    StorageMap: MapStorage<Key = NodeId, Value = GasNode<ExternalId, NodeId, Balance, Funds>>,
{
    fn lock(
        key: impl Into<Self::NodeId>,
        id: LockId,
        amount: Self::Balance,
    ) -> Result<(), Self::Error> {
        let key = key.into();

        // Taking node to lock into.
        let node = Self::get_node(key).ok_or_else(InternalError::node_not_found)?;

        // Validating that node is not consumed.
        if node.is_consumed() {
            return Err(InternalError::node_was_consumed().into());
        }

        // Quick quit on queried zero lock.
        if amount.is_zero() {
            return Ok(());
        }

        // Taking value provider for this node.
        let (mut ancestor_node, ancestor_id) = Self::node_with_value(node)?;

        // Mutating value of provider.
        let ancestor_node_value = ancestor_node
            .value_mut()
            .ok_or_else(InternalError::unexpected_node_type)?;

        if *ancestor_node_value < amount {
            return Err(InternalError::insufficient_balance().into());
        }

        *ancestor_node_value = ancestor_node_value.saturating_sub(amount);

        // If provider is a parent, we save it to storage, otherwise mutating
        // current node further, saving it afterward.
        let mut node = if let Some(ancestor_id) = ancestor_id {
            StorageMap::insert(ancestor_id, ancestor_node);

            // Unreachable error: the same queried at the beginning of function.
            Self::get_node(key).ok_or_else(InternalError::node_not_found)?
        } else {
            ancestor_node
        };

        let locked = node.lock()[id];
        node.lock_mut()[id] = locked.saturating_add(amount);

        StorageMap::insert(key, node);

        Ok(())
    }

    // Such implementation of moving value upper works, because:
    //
    // - For value-holding types (`GasNode::External` and
    // `GasNode::SpecifiedLocal`) locking and unlocking on consumed node is denied at the moment,
    // so on lock and unlock they will update only themselves.
    //
    // - For non-value-holding type (`GasNode::UnspecifiedLocal`) locking and
    // unlocking chained with value-holding parent, which cannot be freed
    // (can't move its balance upstream), due to existence of this
    // unspecified node, referring it.
    //
    // - For reservation type (`GasNode::ReservedLocal`) locking is denied.
    fn unlock(
        key: impl Into<Self::NodeId>,
        id: LockId,
        amount: Self::Balance,
    ) -> Result<(), Self::Error> {
        let key = key.into();

        // Taking node to unlock from.
        let mut node = Self::get_node(key).ok_or_else(InternalError::node_not_found)?;

        // Validating that node is not consumed.
        if node.is_consumed() {
            return Err(InternalError::node_was_consumed().into());
        }

        // Quick quit on queried zero unlock.
        if amount.is_zero() {
            return Ok(());
        }

        // Mutating locked value of queried node.
        let node_lock = &mut node.lock_mut()[id];
        if *node_lock < amount {
            return Err(InternalError::insufficient_balance().into());
        }

        *node_lock = node_lock.saturating_sub(amount);

        // Taking value provider for this node.
        let (ancestor_node, ancestor_id) = Self::node_with_value(node.clone())?;

        // Mutating value of provider.
        // If provider is a current node, we save it to storage, otherwise mutating
        // provider node further, saving it afterward.
        let (mut ancestor_node, ancestor_id) = if let Some(ancestor_id) = ancestor_id {
            StorageMap::insert(key, node);

            (ancestor_node, ancestor_id)
        } else {
            (node, key)
        };

        let ancestor_value = ancestor_node
            .value_mut()
            .ok_or_else(InternalError::unexpected_node_type)?;

        *ancestor_value = ancestor_value.saturating_add(amount);

        StorageMap::insert(ancestor_id, ancestor_node);

        Ok(())
    }

    fn get_lock(key: impl Into<Self::NodeId>, id: LockId) -> Result<Self::Balance, Self::Error> {
        let key = key.into();
        let node = Self::get_node(key).ok_or_else(InternalError::node_not_found)?;

        Ok(node.lock()[id])
    }
}

impl<TotalValue, Balance, Funds, InternalError, Error, ExternalId, NodeId, StorageMap>
    ReservableTree for TreeImpl<TotalValue, InternalError, Error, ExternalId, NodeId, StorageMap>
where
    Balance: BalanceTrait,
    Funds: Clone,
    TotalValue: ValueStorage<Value = Balance>,
    InternalError: super::Error,
    Error: From<InternalError>,
    ExternalId: Clone,
    NodeId: Copy,
    StorageMap: MapStorage<Key = NodeId, Value = GasNode<ExternalId, NodeId, Balance, Funds>>,
{
    fn reserve(
        key: impl Into<Self::NodeId>,
        new_key: impl Into<Self::NodeId>,
        amount: Self::Balance,
    ) -> Result<(), Self::Error> {
        Self::create_from_with_value(
            key,
            new_key,
            amount,
            |key, value, _parent_node, _parent_id| {
                let (id, multiplier, _) = Self::get_origin_node(key)?;
                Ok(GasNode::Reserved {
                    id,
                    multiplier,
                    value,
                    lock: Zero::zero(),
                    refs: Default::default(),
                    consumed: false,
                })
            },
        )
    }

    fn system_reserve(
        key: impl Into<Self::NodeId>,
        amount: Self::Balance,
    ) -> Result<(), Self::Error> {
        let key = key.into();

        // Taking node to lock into.
        let node = Self::get_node(key).ok_or_else(InternalError::node_not_found)?;

        // Validating node type to be able to contain system reservation.
        if !node.is_system_reservable() {
            return Err(InternalError::forbidden().into());
        }

        // Validating that node is not consumed.
        if node.is_consumed() {
            return Err(InternalError::node_was_consumed().into());
        }

        // Quick quit on queried zero lock.
        if amount.is_zero() {
            return Ok(());
        }

        // Taking value provider for this node.
        let (mut ancestor_node, ancestor_id) = Self::node_with_value(node)?;

        // Mutating value of provider.
        let ancestor_node_value = ancestor_node
            .value_mut()
            .ok_or_else(InternalError::unexpected_node_type)?;

        if *ancestor_node_value < amount {
            return Err(InternalError::insufficient_balance().into());
        }

        *ancestor_node_value = ancestor_node_value.saturating_sub(amount);

        // If provider is a parent, we save it to storage, otherwise mutating
        // current node further, saving it afterward.
        let mut node = if let Some(ancestor_id) = ancestor_id {
            StorageMap::insert(ancestor_id, ancestor_node);

            // Unreachable error: the same queried at the beginning of function.
            Self::get_node(key).ok_or_else(InternalError::node_not_found)?
        } else {
            ancestor_node
        };

        let system_reservation = node
            .system_reserve_mut()
            .ok_or_else(InternalError::unexpected_node_type)?;

        *system_reservation = system_reservation.saturating_add(amount);

        StorageMap::insert(key, node);

        Ok(())
    }

    fn system_unreserve(key: impl Into<Self::NodeId>) -> Result<Self::Balance, Self::Error> {
        let key = key.into();

        // Taking node to unlock from.
        let mut node = Self::get_node(key).ok_or_else(InternalError::node_not_found)?;

        // Validating node type to be able to contain system reservation.
        if !node.is_system_reservable() {
            return Err(InternalError::forbidden().into());
        }

        // Validating that node is not consumed.
        if node.is_consumed() {
            return Err(InternalError::node_was_consumed().into());
        }

        let amount = node
            .system_reserve()
            .ok_or_else(InternalError::unexpected_node_type)?;

        // Quick quit on queried zero unlock.
        if amount.is_zero() {
            return Ok(Zero::zero());
        }

        // Mutating locked value of queried node.
        let system_reservation = node
            .system_reserve_mut()
            .ok_or_else(InternalError::unexpected_node_type)?;

        *system_reservation = Zero::zero();

        // Taking value provider for this node.
        let (ancestor_node, ancestor_id) = Self::node_with_value(node.clone())?;

        // Mutating value of provider.
        // If provider is a current node, we save it to storage, otherwise mutating
        // provider node further, saving it afterward.
        let (mut ancestor_node, ancestor_id) = if let Some(ancestor_id) = ancestor_id {
            StorageMap::insert(key, node);

            (ancestor_node, ancestor_id)
        } else {
            (node, key)
        };

        let ancestor_value = ancestor_node
            .value_mut()
            .ok_or_else(InternalError::unexpected_node_type)?;

        *ancestor_value = ancestor_value.saturating_add(amount);

        StorageMap::insert(ancestor_id, ancestor_node);

        Ok(amount)
    }

    fn get_system_reserve(key: impl Into<Self::NodeId>) -> Result<Self::Balance, Self::Error> {
        let node = Self::get_node(key).ok_or_else(InternalError::node_not_found)?;

        node.system_reserve()
            .ok_or_else(|| InternalError::forbidden().into())
    }
}