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
// Copyright (c) Meta Platforms, Inc. and affiliates.
//
// This source code is licensed under both the MIT license found in the
// LICENSE-MIT file in the root directory of this source tree and the Apache
// License, Version 2.0 found in the LICENSE-APACHE file in the root directory
// of this source tree.

//! This module contains all of the structs which need to be constructed
//! to verify any of the following AKD proofs
//!
//! 1. Lookup
//!
//! Append-only and history proofs to come

use crate::ARITY;
#[cfg(feature = "nostd")]
use alloc::vec::Vec;
use core::convert::TryInto;

// ============================================
// Typedefs and constants
// ============================================

/// This type is used to indicate a direction for a
/// particular node relative to its parent.
pub type Direction = Option<usize>;
/// The label of a particular entry in the AKD
pub type AkdLabel = Vec<u8>;
/// The value of a particular entry in the AKD
pub type AkdValue = Vec<u8>;
/// A hash digest (size will depend on hashing algorithm specified
/// at compilation time)
pub type Digest = [u8; crate::hash::DIGEST_BYTES];

/// The value to be hashed every time an empty node's hash is to be considered
pub const EMPTY_VALUE: [u8; 1] = [0u8];

/// The label used for an empty node
pub const EMPTY_LABEL: NodeLabel = NodeLabel {
    label_val: [1u8; 32],
    label_len: 0,
};

/// A "tombstone" is a false value in an AKD ValueState denoting that a real value has been removed (e.g. data rentention policies).
/// Should a tombstone be encountered, we have to assume that the hash of the value is correct, and we move forward without being able to
/// verify the raw value. We utilize an empty array to save space in the storage layer
///
/// See [GitHub issue #130](https://github.com/novifinancial/akd/issues/130) for more context
pub const TOMBSTONE: &[u8] = &[];

// ============================================
// Structs
// ============================================

/// Represents the label of a AKD node
#[derive(Debug, Clone, Copy, PartialEq, Eq)]
#[cfg_attr(
    feature = "serde_serialization",
    derive(serde::Serialize, serde::Deserialize)
)]
pub struct NodeLabel {
    /// val stores a binary string as a u64
    pub label_val: [u8; 32],
    /// len keeps track of how long the binary string is
    pub label_len: u32,
}

impl NodeLabel {
    pub(crate) fn hash(&self) -> Digest {
        let hash_input = [&self.label_len.to_be_bytes()[..], &self.label_val].concat();
        crate::hash::hash(&hash_input)
    }

    /// Takes as input a pointer to the caller and another NodeLabel,
    /// returns a NodeLabel that is the longest common prefix of the two.
    pub(crate) fn get_longest_common_prefix(&self, other: NodeLabel) -> Self {
        let shorter_len = if self.label_len < other.label_len {
            self.label_len
        } else {
            other.label_len
        };

        let mut prefix_len = 0;
        while prefix_len <= shorter_len
            && self.get_bit_at(prefix_len) == other.get_bit_at(prefix_len)
        {
            prefix_len += 1;
        }
        if *self == EMPTY_LABEL || other == EMPTY_LABEL {
            return EMPTY_LABEL;
        }
        self.get_prefix(prefix_len)
    }

    /// Returns the bit at a specified index, and a 0 on an out of range index
    fn get_bit_at(&self, index: u32) -> u8 {
        if index >= self.label_len {
            return 0;
        }

        let usize_index: usize = index.try_into().unwrap();
        let index_full_blocks = usize_index / 8;
        let index_remainder = usize_index % 8;
        (self.label_val[index_full_blocks] >> (7 - index_remainder)) & 1
    }

    /// Returns the prefix of a specified length, and the entire value on an out of range length
    pub(crate) fn get_prefix(&self, len: u32) -> Self {
        if len >= self.label_len {
            return *self;
        }
        if len == 0 {
            return Self {
                label_val: [0u8; 32],
                label_len: 0,
            };
        }

        let usize_len: usize = (len - 1).try_into().unwrap();
        let len_remainder = usize_len % 8;
        let len_div = usize_len / 8;

        let mut out_val = [0u8; 32];
        out_val[..len_div].clone_from_slice(&self.label_val[..len_div]);
        out_val[len_div] = (self.label_val[len_div] >> (7 - len_remainder)) << (7 - len_remainder);

        Self {
            label_val: out_val,
            label_len: len,
        }
    }
}

/// Represents a node (label + hash) in the AKD
#[derive(Debug, Clone, Copy, PartialEq, Eq)]
#[cfg_attr(
    feature = "serde_serialization",
    derive(serde::Serialize, serde::Deserialize)
)]
pub struct Node {
    /// The label of the node
    pub label: NodeLabel,
    /// The associated hash of the node
    pub hash: Digest,
}

/// Represents a specific level of the tree with the parental sibling and the direction
/// of the parent for use in tree hash calculations
#[derive(Debug, Clone, PartialEq, Eq)]
#[cfg_attr(
    feature = "serde_serialization",
    derive(serde::Serialize, serde::Deserialize)
)]
pub struct LayerProof {
    /// The parent's label
    pub label: NodeLabel,
    /// Siblings of the parent
    pub siblings: [Node; ARITY - 1],
    /// The direction
    pub direction: Direction,
}

/// Merkle proof of membership of a [`NodeLabel`] with a particular hash
/// value in the tree at a given epoch
#[derive(Debug, Clone, PartialEq, Eq)]
#[cfg_attr(
    feature = "serde_serialization",
    derive(serde::Serialize, serde::Deserialize)
)]
pub struct MembershipProof {
    /// The node label
    pub label: NodeLabel,
    /// The hash of the value
    pub hash_val: Digest,
    /// The parents of the node in question
    pub layer_proofs: Vec<LayerProof>,
}

/// Merkle Patricia proof of non-membership for a [`NodeLabel`] in the tree
/// at a given epoch.
#[derive(Debug, Clone, PartialEq, Eq)]
#[cfg_attr(
    feature = "serde_serialization",
    derive(serde::Serialize, serde::Deserialize)
)]
pub struct NonMembershipProof {
    /// The label in question
    pub label: NodeLabel,
    /// The longest prefix in the tree
    pub longest_prefix: NodeLabel,
    /// The children of the longest prefix
    pub longest_prefix_children: [Node; ARITY],
    /// The membership proof of the longest prefix
    pub longest_prefix_membership_proof: MembershipProof,
}

/// Proof that a given label was at a particular state at the given epoch.
/// This means we need to show that the state and version we are claiming for this node must have been:
/// * committed in the tree,
/// * not too far ahead of the most recent marker version,
/// * not stale when served.
/// This proof is sent in response to a lookup query for a particular key.
#[derive(Debug, Clone, PartialEq, Eq)]
#[cfg_attr(
    feature = "serde_serialization",
    derive(serde::Serialize, serde::Deserialize)
)]
pub struct LookupProof {
    /// The epoch of this record
    pub epoch: u64,
    /// The plaintext value in question
    pub plaintext_value: AkdValue,
    /// The version of the record
    pub version: u64,
    /// VRF proof for the label corresponding to this version
    pub existence_vrf_proof: Vec<u8>,
    /// Record existence proof
    pub existence_proof: MembershipProof,
    /// VRF proof for the marker preceding (less than or equal to) this version
    pub marker_vrf_proof: Vec<u8>,
    /// Existence at specific marker
    pub marker_proof: MembershipProof,
    /// VRF proof for the label corresponding to this version being stale
    pub freshness_vrf_proof: Vec<u8>,
    /// Freshness proof (non member at previous epoch)
    pub freshness_proof: NonMembershipProof,
    /// Proof for commitment value derived from raw AkdLabel and AkdValue
    pub commitment_proof: Vec<u8>,
}

/// A vector of UpdateProofs are sent as the proof to a history query for a particular key.
/// For each version of the value associated with the key, the verifier must check that:
/// * the version was included in the claimed epoch,
/// * the previous version was retired at this epoch,
/// * the version did not exist prior to this epoch,
/// * the next few versions (up until the next marker), did not exist at this epoch,
/// * the future marker versions did  not exist at this epoch.
#[derive(Debug, Clone, PartialEq, Eq)]
#[cfg_attr(
    feature = "serde_serialization",
    derive(serde::Serialize, serde::Deserialize)
)]
pub struct UpdateProof {
    /// Epoch of this update
    pub epoch: u64,
    /// Value at this update
    pub plaintext_value: AkdValue,
    /// Version at this update
    pub version: u64,
    /// VRF proof for the label for the current version
    pub existence_vrf_proof: Vec<u8>,
    /// Membership proof to show that the key was included in this epoch
    pub existence_at_ep: MembershipProof,
    /// VRF proof for the label for the previous version which became stale
    pub previous_version_vrf_proof: Option<Vec<u8>>,
    /// Proof that previous value was set to old at this epoch
    pub previous_version_stale_at_ep: Option<MembershipProof>,
    /// Proof for commitment value derived from raw AkdLabel and AkdValue
    pub commitment_proof: Vec<u8>,
}

/// This proof is just an array of [`UpdateProof`]s.
#[derive(Debug, Clone, PartialEq, Eq)]
#[cfg_attr(
    feature = "serde_serialization",
    derive(serde::Serialize, serde::Deserialize)
)]
pub struct HistoryProof {
    /// The update proofs in the key history
    pub update_proofs: Vec<UpdateProof>,
    /// VRF Proofs for the labels of the next few values
    pub next_few_vrf_proofs: Vec<Vec<u8>>,
    /// Proof that the next few values did not exist at this time
    pub non_existence_of_next_few: Vec<NonMembershipProof>,
    /// VRF proofs for the labels of future marker entries
    pub future_marker_vrf_proofs: Vec<Vec<u8>>,
    /// Proof that future markers did not exist
    pub non_existence_of_future_markers: Vec<NonMembershipProof>,
}

/// The payload that is outputted as a result of successful verification of
/// a [LookupProof] or [HistoryProof]. This includes the fields containing the
/// epoch that the leaf was published in, the version corresponding to the value,
/// and the value itself.
#[derive(Debug, Clone, PartialEq, Eq)]
#[cfg_attr(
    feature = "serde_serialization",
    derive(serde::Deserialize, serde::Serialize)
)]
pub struct VerifyResult {
    /// The epoch of this record
    pub epoch: u64,
    /// Version at this update
    pub version: u64,
    /// The plaintext value associated with the record
    pub value: AkdValue,
}