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
// Copyright 2021 The Grin Developers
//
// 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.

//! Implementation of Cuckarooz Cycle, based on Cuckoo Cycle designed by
//! John Tromp. Ported to Rust from https://github.com/tromp/cuckoo.
//!
//! Cuckarooz is a variation of Cuckaroo that's tweaked at the third HardFork
//! to maintain ASIC-Resistance, as introduced in
//! https://forum.grin.mw/t/introducing-the-final-tweak-cuckarooz
//! It completes the choices of undirected vs directed edges and bipartite vs
//! monopartite graphs, and is named after the last letter of the alphabet
//! accordingly.

use crate::global;
use crate::pow::common::CuckooParams;
use crate::pow::error::Error;
use crate::pow::siphash::siphash_block;
use crate::pow::{PoWContext, Proof};

/// Instantiate a new CuckaroozContext as a PowContext. Note that this can't
/// be moved in the PoWContext trait as this particular trait needs to be
/// convertible to an object trait.
pub fn new_cuckarooz_ctx(edge_bits: u8, proof_size: usize) -> Result<Box<dyn PoWContext>, Error> {
	let params = CuckooParams::new(edge_bits, edge_bits + 1, proof_size)?;
	Ok(Box::new(CuckaroozContext { params }))
}

/// Cuckarooz cycle context. Only includes the verifier for now.
pub struct CuckaroozContext {
	params: CuckooParams,
}

impl PoWContext for CuckaroozContext {
	fn set_header_nonce(
		&mut self,
		header: Vec<u8>,
		nonce: Option<u32>,
		_solve: bool,
	) -> Result<(), Error> {
		self.params.reset_header_nonce(header, nonce)
	}

	fn find_cycles(&mut self) -> Result<Vec<Proof>, Error> {
		unimplemented!()
	}

	fn verify(&self, proof: &Proof) -> Result<(), Error> {
		let size = proof.proof_size();
		if size != global::proofsize() {
			return Err(Error::Verification("wrong cycle length".to_owned()));
		}
		let nonces = &proof.nonces;
		let mut uvs = vec![0u64; 2 * size];
		let mut xoruv: u64 = 0;
		let mask = u64::MAX >> (size as u64).leading_zeros(); // round size up to 2-power - 1
													  // the next two arrays form a linked list of nodes with matching bits 6..1
		let mut head = vec![2 * size; 1 + mask as usize];
		let mut prev = vec![0usize; 2 * size];

		for n in 0..size {
			if nonces[n] > self.params.edge_mask {
				return Err(Error::Verification("edge too big".to_owned()));
			}
			if n > 0 && nonces[n] <= nonces[n - 1] {
				return Err(Error::Verification("edges not ascending".to_owned()));
			}
			// 21 is standard siphash rotation constant
			let edge: u64 = siphash_block(&self.params.siphash_keys, nonces[n], 21, true);
			let u = edge & self.params.node_mask;
			let v = (edge >> 32) & self.params.node_mask;

			uvs[2 * n] = u;
			let bits = (u & mask) as usize;
			prev[2 * n] = head[bits];
			head[bits] = 2 * n;

			uvs[2 * n + 1] = v;
			let bits = (v & mask) as usize;
			prev[2 * n + 1] = head[bits];
			head[bits] = 2 * n + 1;

			xoruv ^= uvs[2 * n] ^ uvs[2 * n + 1];
		}
		if xoruv != 0 {
			return Err(Error::Verification("endpoints don't match up".to_owned()));
		}
		// make prev lists circular
		for n in 0..(2 * size) {
			if prev[n] == 2 * size {
				let bits = (uvs[n] & mask) as usize;
				prev[n] = head[bits];
			}
		}
		let mut n = 0;
		let mut i = 0;
		let mut j;
		loop {
			// follow cycle
			j = i;
			let mut k = j;
			loop {
				k = prev[k];
				if k == i {
					break;
				}
				if uvs[k] == uvs[i] {
					// find other edge endpoint matching one at i
					if j != i {
						return Err(Error::Verification("branch in cycle".to_owned()));
					}
					j = k;
				}
			}
			if j == i {
				return Err(Error::Verification("cycle dead ends".to_owned()));
			}
			i = j ^ 1;
			n += 1;
			if i == 0 {
				break;
			}
		}
		if n == self.params.proof_size {
			Ok(())
		} else {
			Err(Error::Verification("cycle too short".to_owned()))
		}
	}
}

#[cfg(test)]
mod test {
	use super::*;

	// empty header, nonce 71
	static V1_19_HASH: [u64; 4] = [
		0xd129f63fba4d9a85,
		0x457dcb3666c5e09c,
		0x045247a2e2ee75f7,
		0x1a0f2e1bcb9d93ff,
	];
	static V1_19_SOL: [u64; 42] = [
		0x33b6, 0x487b, 0x88b7, 0x10bf6, 0x15144, 0x17cb7, 0x22621, 0x2358e, 0x23775, 0x24fb3,
		0x26b8a, 0x2876c, 0x2973e, 0x2f4ba, 0x30a62, 0x3a36b, 0x3ba5d, 0x3be67, 0x3ec56, 0x43141,
		0x4b9c5, 0x4fa06, 0x51a5c, 0x523e5, 0x53d08, 0x57d34, 0x5c2de, 0x60bba, 0x62509, 0x64d69,
		0x6803f, 0x68af4, 0x6bd52, 0x6f041, 0x6f900, 0x70051, 0x7097d, 0x735e8, 0x742c2, 0x79ae5,
		0x7f64d, 0x7fd49,
	];

	// empty header, nonce 15
	static V2_29_HASH: [u64; 4] = [
		0x34bb4c75c929a2f5,
		0x21df13263aa81235,
		0x37d00939eae4be06,
		0x473251cbf6941553,
	];
	static V2_29_SOL: [u64; 42] = [
		0x49733a, 0x1d49107, 0x253d2ca, 0x5ad5e59, 0x5b671bd, 0x5dcae1c, 0x5f9a589, 0x65e9afc,
		0x6a59a45, 0x7d9c6d3, 0x7df96e4, 0x8b26174, 0xa17b430, 0xa1c8c0d, 0xa8a0327, 0xabd7402,
		0xacb7c77, 0xb67524f, 0xc1c15a6, 0xc7e2c26, 0xc7f5d8d, 0xcae478a, 0xdea9229, 0xe1ab49e,
		0xf57c7db, 0xfb4e8c5, 0xff314aa, 0x110ccc12, 0x143e546f, 0x17007af8, 0x17140ea2,
		0x173d7c5d, 0x175cd13f, 0x178b8880, 0x1801edc5, 0x18c8f56b, 0x18c8fe6d, 0x19f1a31a,
		0x1bb028d1, 0x1caaa65a, 0x1cf29bc2, 0x1dbde27d,
	];

	#[test]
	fn cuckarooz19_29_vectors() {
		global::set_local_chain_type(global::ChainTypes::Mainnet);
		let mut ctx19 = new_impl(19, 42);
		ctx19.params.siphash_keys = V1_19_HASH.clone();
		assert!(ctx19
			.verify(&Proof::new(V1_19_SOL.to_vec().clone()))
			.is_ok());
		assert!(ctx19.verify(&Proof::zero(42)).is_err());
		let mut ctx29 = new_impl(29, 42);
		ctx29.params.siphash_keys = V2_29_HASH.clone();
		assert!(ctx29
			.verify(&Proof::new(V2_29_SOL.to_vec().clone()))
			.is_ok());
		assert!(ctx29.verify(&Proof::zero(42)).is_err());
	}

	fn new_impl(edge_bits: u8, proof_size: usize) -> CuckaroozContext {
		let params = CuckooParams::new(edge_bits, edge_bits + 1, proof_size).unwrap();
		CuckaroozContext { params }
	}
}