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
// This file is part of Substrate.

// Copyright (C) Parity Technologies (UK) Ltd.
// SPDX-License-Identifier: Apache-2.0

// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// 	http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.

//! Types for a compact base-16 merkle trie used for checking and generating proofs within the
//! runtime. The `sp-trie` crate exposes all of these same functionality (and more), but this
//! library is designed to work more easily with runtime native types, which simply need to
//! implement `Encode`/`Decode`. It also exposes a runtime friendly `TrieError` type which can be
//! use inside of a FRAME Pallet.
//!
//! Proofs are created with latest substrate trie format (`LayoutV1`), and are not compatible with
//! proofs using `LayoutV0`.

use super::{ProofToHashes, ProvingTrie, TrieError};
use crate::{Decode, DispatchError, Encode};
use codec::MaxEncodedLen;
use sp_std::vec::Vec;
use sp_trie::{
	trie_types::{TrieDBBuilder, TrieDBMutBuilderV1},
	LayoutV1, MemoryDB, Trie, TrieMut,
};

/// A helper structure for building a basic base-16 merkle trie and creating compact proofs for that
/// trie. Proofs are created with latest substrate trie format (`LayoutV1`), and are not compatible
/// with proofs using `LayoutV0`.
pub struct BasicProvingTrie<Hashing, Key, Value>
where
	Hashing: sp_core::Hasher,
{
	db: MemoryDB<Hashing>,
	root: Hashing::Out,
	_phantom: core::marker::PhantomData<(Key, Value)>,
}

impl<Hashing, Key, Value> BasicProvingTrie<Hashing, Key, Value>
where
	Hashing: sp_core::Hasher,
	Key: Encode,
{
	/// Create a compact merkle proof needed to prove all `keys` and their values are in the trie.
	///
	/// When verifying the proof created by this function, you must include all of the keys and
	/// values of the proof, else the verifier will complain that extra nodes are provided in the
	/// proof that are not needed.
	pub fn create_multi_proof(&self, keys: &[Key]) -> Result<Vec<u8>, DispatchError> {
		sp_trie::generate_trie_proof::<LayoutV1<Hashing>, _, _, _>(
			&self.db,
			self.root,
			&keys.into_iter().map(|k| k.encode()).collect::<Vec<Vec<u8>>>(),
		)
		.map_err(|err| TrieError::from(*err).into())
		.map(|structured_proof| structured_proof.encode())
	}
}

impl<Hashing, Key, Value> ProvingTrie<Hashing, Key, Value> for BasicProvingTrie<Hashing, Key, Value>
where
	Hashing: sp_core::Hasher,
	Key: Encode,
	Value: Encode + Decode,
{
	/// Create a new instance of a `ProvingTrie` using an iterator of key/value pairs.
	fn generate_for<I>(items: I) -> Result<Self, DispatchError>
	where
		I: IntoIterator<Item = (Key, Value)>,
	{
		let mut db = MemoryDB::default();
		let mut root = Default::default();

		{
			let mut trie = TrieDBMutBuilderV1::new(&mut db, &mut root).build();
			for (key, value) in items.into_iter() {
				key.using_encoded(|k| value.using_encoded(|v| trie.insert(k, v)))
					.map_err(|_| "failed to insert into trie")?;
			}
		}

		Ok(Self { db, root, _phantom: Default::default() })
	}

	/// Access the underlying trie root.
	fn root(&self) -> &Hashing::Out {
		&self.root
	}

	/// Query a value contained within the current trie. Returns `None` if the
	/// nodes within the current `MemoryDB` are insufficient to query the item.
	fn query(&self, key: &Key) -> Option<Value> {
		let trie = TrieDBBuilder::new(&self.db, &self.root).build();
		key.using_encoded(|s| trie.get(s))
			.ok()?
			.and_then(|raw| Value::decode(&mut &*raw).ok())
	}

	/// Create a compact merkle proof needed to prove a single key and its value are in the trie.
	fn create_proof(&self, key: &Key) -> Result<Vec<u8>, DispatchError> {
		sp_trie::generate_trie_proof::<LayoutV1<Hashing>, _, _, _>(
			&self.db,
			self.root,
			&[key.encode()],
		)
		.map_err(|err| TrieError::from(*err).into())
		.map(|structured_proof| structured_proof.encode())
	}

	/// Verify the existence of `key` and `value` in a given trie root and proof.
	fn verify_proof(
		root: &Hashing::Out,
		proof: &[u8],
		key: &Key,
		value: &Value,
	) -> Result<(), DispatchError> {
		verify_proof::<Hashing, Key, Value>(root, proof, key, value)
	}
}

impl<Hashing, Key, Value> ProofToHashes for BasicProvingTrie<Hashing, Key, Value>
where
	Hashing: sp_core::Hasher,
	Hashing::Out: MaxEncodedLen,
{
	// Our proof is just raw bytes.
	type Proof = [u8];
	// This base 16 trie uses a raw proof of `Vec<Vec<u8>`, where the length of the first `Vec`
	// is the depth of the trie. We can use this to predict the number of hashes.
	fn proof_to_hashes(proof: &[u8]) -> Result<u32, DispatchError> {
		use codec::DecodeLength;
		let depth =
			<Vec<Vec<u8>> as DecodeLength>::len(proof).map_err(|_| TrieError::DecodeError)?;
		Ok(depth as u32)
	}
}

/// Verify the existence of `key` and `value` in a given trie root and proof.
pub fn verify_proof<Hashing, Key, Value>(
	root: &Hashing::Out,
	proof: &[u8],
	key: &Key,
	value: &Value,
) -> Result<(), DispatchError>
where
	Hashing: sp_core::Hasher,
	Key: Encode,
	Value: Encode,
{
	let structured_proof: Vec<Vec<u8>> =
		Decode::decode(&mut &proof[..]).map_err(|_| TrieError::DecodeError)?;
	sp_trie::verify_trie_proof::<LayoutV1<Hashing>, _, _, _>(
		&root,
		&structured_proof,
		&[(key.encode(), Some(value.encode()))],
	)
	.map_err(|err| TrieError::from(err).into())
}

/// Verify the existence of multiple `items` in a given trie root and proof.
pub fn verify_multi_proof<Hashing, Key, Value>(
	root: &Hashing::Out,
	proof: &[u8],
	items: &[(Key, Value)],
) -> Result<(), DispatchError>
where
	Hashing: sp_core::Hasher,
	Key: Encode,
	Value: Encode,
{
	let structured_proof: Vec<Vec<u8>> =
		Decode::decode(&mut &proof[..]).map_err(|_| TrieError::DecodeError)?;
	let items_encoded = items
		.into_iter()
		.map(|(key, value)| (key.encode(), Some(value.encode())))
		.collect::<Vec<(Vec<u8>, Option<Vec<u8>>)>>();

	sp_trie::verify_trie_proof::<LayoutV1<Hashing>, _, _, _>(
		&root,
		&structured_proof,
		&items_encoded,
	)
	.map_err(|err| TrieError::from(err).into())
}

#[cfg(test)]
mod tests {
	use super::*;
	use crate::traits::BlakeTwo256;
	use sp_core::H256;
	use sp_std::collections::btree_map::BTreeMap;

	// A trie which simulates a trie of accounts (u32) and balances (u128).
	type BalanceTrie = BasicProvingTrie<BlakeTwo256, u32, u128>;

	// The expected root hash for an empty trie.
	fn empty_root() -> H256 {
		sp_trie::empty_trie_root::<LayoutV1<BlakeTwo256>>()
	}

	fn create_balance_trie() -> BalanceTrie {
		// Create a map of users and their balances.
		let mut map = BTreeMap::<u32, u128>::new();
		for i in 0..100u32 {
			map.insert(i, i.into());
		}

		// Put items into the trie.
		let balance_trie = BalanceTrie::generate_for(map).unwrap();

		// Root is changed.
		let root = *balance_trie.root();
		assert!(root != empty_root());

		// Assert valid keys are queryable.
		assert_eq!(balance_trie.query(&6u32), Some(6u128));
		assert_eq!(balance_trie.query(&9u32), Some(9u128));
		assert_eq!(balance_trie.query(&69u32), Some(69u128));
		// Invalid key returns none.
		assert_eq!(balance_trie.query(&6969u32), None);

		balance_trie
	}

	#[test]
	fn empty_trie_works() {
		let empty_trie = BalanceTrie::generate_for(Vec::new()).unwrap();
		assert_eq!(*empty_trie.root(), empty_root());
	}

	#[test]
	fn basic_end_to_end_single_value() {
		let balance_trie = create_balance_trie();
		let root = *balance_trie.root();

		// Create a proof for a valid key.
		let proof = balance_trie.create_proof(&6u32).unwrap();

		// Assert key is provable, all other keys are invalid.
		for i in 0..200u32 {
			if i == 6 {
				assert_eq!(
					verify_proof::<BlakeTwo256, _, _>(&root, &proof, &i, &u128::from(i)),
					Ok(())
				);
				// Wrong value is invalid.
				assert_eq!(
					verify_proof::<BlakeTwo256, _, _>(&root, &proof, &i, &u128::from(i + 1)),
					Err(TrieError::RootMismatch.into())
				);
			} else {
				assert!(
					verify_proof::<BlakeTwo256, _, _>(&root, &proof, &i, &u128::from(i)).is_err()
				);
			}
		}
	}

	#[test]
	fn basic_end_to_end_multi() {
		let balance_trie = create_balance_trie();
		let root = *balance_trie.root();

		// Create a proof for a valid and invalid key.
		let proof = balance_trie.create_multi_proof(&[6u32, 9u32, 69u32]).unwrap();
		let items = [(6u32, 6u128), (9u32, 9u128), (69u32, 69u128)];

		assert_eq!(verify_multi_proof::<BlakeTwo256, _, _>(&root, &proof, &items), Ok(()));
	}

	#[test]
	fn proof_fails_with_bad_data() {
		let balance_trie = create_balance_trie();
		let root = *balance_trie.root();

		// Create a proof for a valid key.
		let proof = balance_trie.create_proof(&6u32).unwrap();

		// Correct data verifies successfully
		assert_eq!(verify_proof::<BlakeTwo256, _, _>(&root, &proof, &6u32, &6u128), Ok(()));

		// Fail to verify proof with wrong root
		assert_eq!(
			verify_proof::<BlakeTwo256, _, _>(&Default::default(), &proof, &6u32, &6u128),
			Err(TrieError::RootMismatch.into())
		);

		// Crete a bad proof.
		let bad_proof = balance_trie.create_proof(&99u32).unwrap();

		// Fail to verify data with the wrong proof
		assert_eq!(
			verify_proof::<BlakeTwo256, _, _>(&root, &bad_proof, &6u32, &6u128),
			Err(TrieError::ExtraneousHashReference.into())
		);
	}

	#[test]
	fn proof_to_hashes() {
		let mut i: u32 = 1;
		// Compute log base 16 and round up
		let log16 = |x: u32| -> u32 {
			let x_f64 = x as f64;
			let log16_x = (x_f64.ln() / 16_f64.ln()).ceil();
			log16_x as u32
		};

		while i < 10_000_000 {
			let trie = BalanceTrie::generate_for((0..i).map(|i| (i, u128::from(i)))).unwrap();
			let proof = trie.create_proof(&0).unwrap();
			let hashes = BalanceTrie::proof_to_hashes(&proof).unwrap();
			let log16 = log16(i).max(1);

			assert_eq!(hashes, log16);
			i = i * 10;
		}
	}
}