verifiable 0.2.0

Interface for cryptographic proof of membership of a set with known members
Documentation
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
use alloc::vec;
use core::ops::Range;

pub use ark_vrf;

use ark_scale::ArkScale;
use ark_serialize::{CanonicalDeserialize, CanonicalSerialize};
use ark_vrf::{
	ring::Verifier,
	suites::bandersnatch::{self, BandersnatchSha512Ell2},
};
use scale_info::TypeInfo;

use super::*;

#[cfg(any(feature = "std", feature = "no-std-prover"))]
pub(crate) const VERIFIABLE_SRS_RAW: &[u8] = include_bytes!("ring-data/srs-uncompressed.bin");

/// The max ring that can be handled for both sign/verify for the given PCS domain size.
const fn max_ring_size_from_pcs_domain_size(pcs_domain_size: usize) -> usize {
	ark_vrf::ring::max_ring_size_from_pcs_domain_size::<bandersnatch::BandersnatchSha512Ell2>(
		pcs_domain_size,
	)
}

#[cfg(feature = "small-ring")]
mod ring_params {
	use super::*;
	/// 255
	pub const MAX_RING_SIZE: usize = max_ring_size_from_pcs_domain_size(1 << 11);
	/// Ring parameters file
	pub const RING_BUILDER_PARAMS: &[u8] =
		include_bytes!("ring-data/ring-builder-params-small.bin");
}
#[cfg(not(feature = "small-ring"))]
mod ring_params {
	use super::*;
	/// 16127
	pub const MAX_RING_SIZE: usize = max_ring_size_from_pcs_domain_size(1 << 16);
	/// Ring parameters file
	pub const RING_BUILDER_PARAMS: &[u8] = include_bytes!("ring-data/ring-builder-params-full.bin");
}
use ring_params::*;

const VRF_INPUT_DOMAIN: &[u8] = b"VerifiableBandersnatchVrfInput";

/// A sequence of static chunks.
pub type RingBuilderParams = ark_vrf::ring::RingBuilderPcsParams<BandersnatchSha512Ell2>;

macro_rules! impl_scale {
	($type_name:ident, $encoded_size:expr) => {
		ark_scale::impl_scale_via_ark!($type_name);

		impl scale::MaxEncodedLen for $type_name {
			fn max_encoded_len() -> usize {
				$encoded_size
			}
		}

		impl scale_info::TypeInfo for $type_name {
			type Identity = [u8; $encoded_size];
			fn type_info() -> scale_info::Type {
				Self::Identity::type_info()
			}
		}
	};
}

#[cfg(feature = "std")]
fn ring_prover_params() -> &'static bandersnatch::RingProofParams {
	use std::sync::OnceLock;
	static CELL: OnceLock<bandersnatch::RingProofParams> = OnceLock::new();
	CELL.get_or_init(|| {
		let pcs_params =
			bandersnatch::PcsParams::deserialize_uncompressed_unchecked(VERIFIABLE_SRS_RAW)
				.unwrap();
		bandersnatch::RingProofParams::from_pcs_params(MAX_RING_SIZE, pcs_params).unwrap()
	})
}

#[cfg(all(not(feature = "std"), feature = "no-std-prover"))]
fn ring_prover_params() -> &'static bandersnatch::RingProofParams {
	use spin::Once;
	static CELL: Once<bandersnatch::RingProofParams> = Once::new();
	CELL.call_once(|| {
		let pcs_params =
			bandersnatch::PcsParams::deserialize_uncompressed_unchecked(VERIFIABLE_SRS_RAW)
				.unwrap();
		bandersnatch::RingProofParams::from_pcs_params(MAX_RING_SIZE, pcs_params).unwrap()
	})
}

/// Get ring builder params.
pub fn ring_verifier_builder_params() -> RingBuilderParams {
	use ark_vrf::ring::G1Affine;
	let inner = <Vec<G1Affine<BandersnatchSha512Ell2>>>::deserialize_uncompressed_unchecked(
		RING_BUILDER_PARAMS,
	)
	.unwrap();
	ark_vrf::ring::RingBuilderPcsParams::<BandersnatchSha512Ell2>(inner)
}

#[derive(Clone, CanonicalDeserialize, CanonicalSerialize)]
pub struct MembersSet(bandersnatch::RingVerifierKeyBuilder);

impl_scale!(MembersSet, 432);

impl core::fmt::Debug for MembersSet {
	fn fmt(&self, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result {
		write!(f, "MembersSet")
	}
}

impl core::cmp::PartialEq for MembersSet {
	fn eq(&self, other: &Self) -> bool {
		self.encode() == other.encode()
	}
}

impl core::cmp::Eq for MembersSet {}

#[derive(Clone, CanonicalDeserialize, CanonicalSerialize)]
pub struct MembersCommitment(bandersnatch::RingVerifierKey);

impl_scale!(MembersCommitment, 384);

impl core::fmt::Debug for MembersCommitment {
	fn fmt(&self, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result {
		write!(f, "MemberCommitment")
	}
}

impl core::cmp::PartialEq for MembersCommitment {
	fn eq(&self, other: &Self) -> bool {
		self.encode() == other.encode()
	}
}
impl core::cmp::Eq for MembersCommitment {}

const PUBLIC_KEY_SIZE: usize = 32;

#[derive(
	Clone, Eq, PartialEq, Debug, Encode, Decode, TypeInfo, MaxEncodedLen, DecodeWithMemTracking,
)]
pub struct EncodedPublicKey(pub [u8; PUBLIC_KEY_SIZE]);

#[derive(Clone, Eq, PartialEq, Debug, CanonicalSerialize, CanonicalDeserialize)]
pub struct PublicKey(bandersnatch::AffinePoint);
impl_scale!(PublicKey, PUBLIC_KEY_SIZE);

#[derive(Clone, Eq, PartialEq, Debug, CanonicalSerialize, CanonicalDeserialize)]
pub struct StaticChunk(pub ark_vrf::ring::G1Affine<bandersnatch::BandersnatchSha512Ell2>);
impl_scale!(StaticChunk, 48);

#[derive(CanonicalSerialize, CanonicalDeserialize)]
struct IetfVrfSignature {
	output: bandersnatch::Output,
	proof: bandersnatch::IetfProof,
}
const PLAIN_VRF_SIGNATURE_SIZE: usize = 96;

#[derive(CanonicalSerialize, CanonicalDeserialize)]
struct RingVrfSignature {
	output: bandersnatch::Output,
	proof: bandersnatch::RingProof,
}
const RING_VRF_SIGNATURE_SIZE: usize = 788;

#[inline(always)]
fn make_alias(output: &bandersnatch::Output) -> Alias {
	Alias::try_from(&output.hash()[..32]).expect("Bandersnatch suite hash is 64 bytes")
}

pub struct BandersnatchVrfVerifiable;

impl BandersnatchVrfVerifiable {
	fn to_public_key(
		value: &EncodedPublicKey,
	) -> Result<PublicKey, ()> {
		let pt =
			bandersnatch::AffinePoint::deserialize_compressed(&value.0[..]).map_err(|_| ())?;
		Ok(PublicKey(pt.into()))
	}

	fn to_encoded_public_key(value: &PublicKey) -> EncodedPublicKey {
		let mut bytes = [0u8; PUBLIC_KEY_SIZE];
		value.using_encoded(|encoded| {
			bytes.copy_from_slice(encoded);
		});
		EncodedPublicKey(bytes)
	}
}

impl GenerateVerifiable for BandersnatchVrfVerifiable {
	type Members = MembersCommitment;
	type Intermediate = MembersSet;
	type Member = EncodedPublicKey;
	type Secret = bandersnatch::Secret;
	type Commitment = (u32, ArkScale<bandersnatch::RingProverKey>);
	type Proof = [u8; RING_VRF_SIGNATURE_SIZE];
	type Signature = [u8; PLAIN_VRF_SIGNATURE_SIZE];
	type StaticChunk = StaticChunk;

	fn start_members() -> Self::Intermediate {
		#[cfg(feature = "small-ring")]
		const EMPTY_RING_COMMITMENT_DATA: &[u8] =
			include_bytes!("ring-data/ring-builder-small.bin");
		#[cfg(not(feature = "small-ring"))]
		const EMPTY_RING_COMMITMENT_DATA: &[u8] = include_bytes!("ring-data/ring-builder-full.bin");
		MembersSet::deserialize_uncompressed_unchecked(EMPTY_RING_COMMITMENT_DATA).unwrap()
	}

	fn push_members(
		intermediate: &mut Self::Intermediate,
		members: impl Iterator<Item = Self::Member>,
		lookup: impl Fn(Range<usize>) -> Result<Vec<Self::StaticChunk>, ()>,
	) -> Result<(), ()> {
		let mut keys = vec![];
		for member in members {
			keys.push(Self::to_public_key(&member)?.0);
		}
		let loader = |range: Range<usize>| {
			let items = lookup(range)
				.ok()?
				.into_iter()
				.map(|c| c.0)
				.collect::<Vec<_>>();
			Some(items)
		};
		intermediate.0.append(&keys[..], loader).map_err(|_| ())
	}

	fn finish_members(intermediate: Self::Intermediate) -> Self::Members {
		let verifier_key = intermediate.0.finalize();
		MembersCommitment(verifier_key)
	}

	fn new_secret(entropy: Entropy) -> Self::Secret {
		Self::Secret::from_seed(&entropy)
	}

	fn member_from_secret(secret: &Self::Secret) -> Self::Member {
		Self::to_encoded_public_key(&PublicKey(secret.public().0))
	}

	fn validate(
		proof: &Self::Proof,
		members: &Self::Members,
		context: &[u8],
		message: &[u8],
	) -> Result<Alias, ()> {
		// This doesn't require the whole kzg. Thus is more appropriate if used on-chain
		// Is a bit slower as it requires to recompute piop_params, but still in the order of ms
		let ring_verifier =
			bandersnatch::RingProofParams::verifier_no_context(members.0.clone(), MAX_RING_SIZE);

		let input_msg = [VRF_INPUT_DOMAIN, context].concat();
		let input = bandersnatch::Input::new(&input_msg[..]).expect("H2C can't fail here");

		let signature =
			RingVrfSignature::deserialize_compressed(proof.as_slice()).map_err(|_| ())?;

		bandersnatch::Public::verify(
			input,
			signature.output,
			message,
			&signature.proof,
			&ring_verifier,
		)
		.map_err(|_| ())?;

		Ok(make_alias(&signature.output))
	}

	fn sign(secret: &Self::Secret, message: &[u8]) -> Result<Self::Signature, ()> {
		use ark_vrf::ietf::Prover;
		let input_msg = [VRF_INPUT_DOMAIN, message].concat();
		let input = bandersnatch::Input::new(&input_msg[..]).expect("H2C can't fail here");
		let output = secret.output(input);

		let proof = secret.prove(input, output, b"");
		let signature = IetfVrfSignature { output, proof };

		let mut raw = [0u8; PLAIN_VRF_SIGNATURE_SIZE];
		signature
			.serialize_compressed(raw.as_mut_slice())
			.map_err(|_| ())?;
		Ok(raw)
	}

	fn verify_signature(
		signature: &Self::Signature,
		message: &[u8],
		member: &Self::Member,
	) -> bool {
		use ark_vrf::ietf::Verifier;
		let Ok(signature) = IetfVrfSignature::deserialize_compressed(signature.as_slice()) else {
			return false;
		};
		let input_msg = [VRF_INPUT_DOMAIN, message].concat();
		let input = bandersnatch::Input::new(&input_msg[..]).expect("H2C can't fail here");
		let Ok(member) = Self::to_public_key(member) else {
			return false;
		};
		let public = bandersnatch::Public::from(member.0);
		public
			.verify(input, signature.output, b"", &signature.proof)
			.is_ok()
	}

	#[cfg(any(feature = "std", feature = "no-std-prover"))]
	fn open(
		member: &Self::Member,
		members: impl Iterator<Item = Self::Member>,
	) -> Result<Self::Commitment, ()> {
		let pks = members
			.map(|m| Self::to_public_key(&m).map(|pk| pk.0))
			.collect::<Result<Vec<_>, _>>()?;
		let member = Self::to_public_key(member)?;
		let member_idx = pks.iter().position(|&m| m == member.0).ok_or(())?;
		let member_idx = member_idx as u32;
		let prover_key = ring_prover_params().prover_key(&pks[..]);
		Ok((member_idx, prover_key.into()))
	}

	#[cfg(not(any(feature = "std", feature = "no-std-prover")))]
	fn open(
		_member: &Self::Member,
		_members: impl Iterator<Item = Self::Member>,
	) -> Result<Self::Commitment, ()> {
		panic!("not implemented: requires `std` or `no-std-prover`")
	}

	#[cfg(any(feature = "std", feature = "no-std-prover"))]
	fn create(
		commitment: Self::Commitment,
		secret: &Self::Secret,
		context: &[u8],
		message: &[u8],
	) -> Result<(Self::Proof, Alias), ()> {
		use ark_vrf::ring::Prover;
		let (prover_idx, prover_key) = commitment;
		let params = ring_prover_params();
		if prover_idx >= params.max_ring_size() as u32 {
			return Err(());
		}

		let ring_prover = params.prover(prover_key.0, prover_idx as usize);

		let input_msg = [VRF_INPUT_DOMAIN, context].concat();
		let input = bandersnatch::Input::new(&input_msg[..]).expect("H2C can't fail here");
		let preout = secret.output(input);
		let alias = make_alias(&preout);

		let proof = secret.prove(input, preout, message, &ring_prover);

		let signature = RingVrfSignature {
			output: preout,
			proof,
		};

		let mut buf = [0u8; RING_VRF_SIGNATURE_SIZE];
		signature
			.serialize_compressed(buf.as_mut_slice())
			.map_err(|_| ())?;

		Ok((buf, alias))
	}

	#[cfg(not(any(feature = "std", feature = "no-std-prover")))]
	fn create(
		_commitment: Self::Commitment,
		_secret: &Self::Secret,
		_context: &[u8],
		_message: &[u8],
	) -> Result<(Self::Proof, Alias), ()> {
		panic!("not implemented: requires `std` or `no-std-prover`")
	}

	fn alias_in_context(secret: &Self::Secret, context: &[u8]) -> Result<Alias, ()> {
		let input_msg = [VRF_INPUT_DOMAIN, context].concat();
		let input = bandersnatch::Input::new(&input_msg[..]).expect("H2C can't fail here");
		let output = secret.output(input);
		let alias = make_alias(&output);
		Ok(alias)
	}

	fn is_member_valid(member: &Self::Member) -> bool {
		Self::to_public_key(member).is_ok()
	}
}

#[cfg(test)]
mod tests {
	use super::*;
	use ark_vrf::{ring::SrsLookup, suites::bandersnatch::BandersnatchSha512Ell2};

	type RingBuilderPcsParams = ark_vrf::ring::RingBuilderPcsParams<BandersnatchSha512Ell2>;

	fn start_members_from_params() -> (MembersSet, RingBuilderPcsParams) {
		let (builder, builder_pcs_params) = ring_prover_params().verifier_key_builder();
		(MembersSet(builder), builder_pcs_params)
	}

	#[test]
	#[ignore = "srs generator"]
	fn generate_srs_from_full_zcash_srs() {
		use std::fs::File;
		use std::io::{Read, Write};

		const FULL_ZCASH_SRS_FILE: &str = concat!(
			env!("CARGO_MANIFEST_DIR"),
			"/src/ring-data/zcash-srs-2-16-uncompressed.bin"
		);
		const SRS_COMPRESSED_FILE: &str = concat!(
			env!("CARGO_MANIFEST_DIR"),
			"/src/ring-data/srs-compressed.bin"
		);
		const SRS_UNCOMPRESSED_FILE: &str = concat!(
			env!("CARGO_MANIFEST_DIR"),
			"/src/ring-data/srs-uncompressed.bin"
		);

		let mut buf = vec![];
		let mut file = File::open(FULL_ZCASH_SRS_FILE).unwrap();
		file.read_to_end(&mut buf).unwrap();
		println!("Full size: {}", buf.len());

		let full_params = ring_prover_params();

		let mut buf = vec![];
		full_params.serialize_compressed(&mut buf).unwrap();
		println!("Reduced size (compressed): {}", buf.len());
		let mut file = File::create(SRS_COMPRESSED_FILE).unwrap();
		file.write_all(&buf).unwrap();

		let mut buf = vec![];
		full_params.serialize_uncompressed(&mut buf).unwrap();
		println!("Reduced size (uncompressed): {}", buf.len());
		let mut file = File::create(SRS_UNCOMPRESSED_FILE).unwrap();
		file.write_all(&buf).unwrap();
	}

	// This is used to generate parameters.
	// Run only if there are some breaking changes in the backend crypto and binaries
	// need to be re-generated.
	#[test]
	#[ignore = "ring builder generator"]
	fn generate_empty_ring_builder() {
		use std::io::Write;
		#[cfg(feature = "small-ring")]
		const RING_BUILDER_FILE: &str = concat!(
			env!("CARGO_MANIFEST_DIR"),
			"/src/ring-data/ring-builder-small.bin"
		);
		#[cfg(not(feature = "small-ring"))]
		const RING_BUILDER_FILE: &str = concat!(
			env!("CARGO_MANIFEST_DIR"),
			"/src/ring-data/ring-builder-full.bin"
		);

		#[cfg(feature = "small-ring")]
		const RING_BUILDER_PARAMS_FILE: &str = concat!(
			env!("CARGO_MANIFEST_DIR"),
			"/src/ring-data/ring-builder-params-small.bin"
		);
		#[cfg(not(feature = "small-ring"))]
		const RING_BUILDER_PARAMS_FILE: &str = concat!(
			env!("CARGO_MANIFEST_DIR"),
			"/src/ring-data/ring-builder-params-full.bin"
		);

		let (builder, builder_params) = start_members_from_params();

		let mut buf = Vec::with_capacity(builder.uncompressed_size());
		builder.serialize_uncompressed(&mut buf).unwrap();
		println!("Writing empty ring builder to: {}", RING_BUILDER_FILE);
		let mut file = std::fs::File::create(RING_BUILDER_FILE).unwrap(); // Create or truncate the file
		file.write_all(&buf).unwrap();

		let mut buf = Vec::with_capacity(builder_params.0.uncompressed_size());
		builder_params.0.serialize_uncompressed(&mut buf).unwrap();
		println!("G1 len: {}", builder_params.0.len());
		println!(
			"Writing ring builder params to: {}",
			RING_BUILDER_PARAMS_FILE
		);
		let mut file = std::fs::File::create(RING_BUILDER_PARAMS_FILE).unwrap(); // Create or truncate the file
		file.write_all(&buf).unwrap();
	}

	#[test]
	fn check_pre_constructed_ring_builder() {
		let builder = BandersnatchVrfVerifiable::start_members();
		let builder_params = ring_verifier_builder_params();
		let (builder2, builder_params2) = start_members_from_params();

		let mut buf1 = vec![];
		builder_params.0.serialize_uncompressed(&mut buf1).unwrap();
		let mut buf2 = vec![];
		builder_params2.0.serialize_uncompressed(&mut buf2).unwrap();
		assert_eq!(buf1, buf2);

		let mut buf1 = vec![];
		builder.serialize_uncompressed(&mut buf1).unwrap();
		let mut buf2 = vec![];
		builder2.serialize_uncompressed(&mut buf2).unwrap();
		assert_eq!(buf1, buf2);
	}

	#[test]
	fn check_precomputed_size() {
		let secret = BandersnatchVrfVerifiable::new_secret([0u8; 32]);
		let public = BandersnatchVrfVerifiable::member_from_secret(&secret);
		let internal = BandersnatchVrfVerifiable::to_public_key(&public).unwrap();
		assert_eq!(internal.compressed_size(), PublicKey::max_encoded_len());

		let members = BandersnatchVrfVerifiable::start_members();
		assert_eq!(members.compressed_size(), MembersSet::max_encoded_len());

		let commitment = BandersnatchVrfVerifiable::finish_members(members);
		assert_eq!(
			commitment.compressed_size(),
			MembersCommitment::max_encoded_len()
		);
	}

	#[test]
	fn start_push_finish() {
		let alice_sec = BandersnatchVrfVerifiable::new_secret([0u8; 32]);
		let bob_sec = BandersnatchVrfVerifiable::new_secret([1u8; 32]);
		let charlie_sec = BandersnatchVrfVerifiable::new_secret([2u8; 32]);

		let alice = BandersnatchVrfVerifiable::member_from_secret(&alice_sec);
		let bob = BandersnatchVrfVerifiable::member_from_secret(&bob_sec);
		let charlie = BandersnatchVrfVerifiable::member_from_secret(&charlie_sec);

		let mut inter1 = BandersnatchVrfVerifiable::start_members();
		let mut inter2 = inter1.clone();
		let builder_params = ring_verifier_builder_params();

		let get_many = |range| {
			(&builder_params)
				.lookup(range)
				.map(|v| v.into_iter().map(|i| StaticChunk(i)).collect::<Vec<_>>())
				.ok_or(())
		};

		BandersnatchVrfVerifiable::push_members(
			&mut inter1,
			[alice.clone(), bob.clone(), charlie.clone()].into_iter(),
			get_many,
		)
		.unwrap();
		BandersnatchVrfVerifiable::push_members(&mut inter2, [alice.clone()].into_iter(), get_many)
			.unwrap();
		BandersnatchVrfVerifiable::push_members(&mut inter2, [bob.clone()].into_iter(), get_many)
			.unwrap();
		BandersnatchVrfVerifiable::push_members(
			&mut inter2,
			[charlie.clone()].into_iter(),
			get_many,
		)
		.unwrap();
		assert_eq!(inter1, inter2);

		let members1 = BandersnatchVrfVerifiable::finish_members(inter1);
		let members2 = BandersnatchVrfVerifiable::finish_members(inter2);
		assert_eq!(members1, members2);
	}

	#[test]
	fn start_push_finish_multiple_members() {
		let alice_sec = BandersnatchVrfVerifiable::new_secret([0u8; 32]);
		let bob_sec = BandersnatchVrfVerifiable::new_secret([1u8; 32]);
		let charlie_sec = BandersnatchVrfVerifiable::new_secret([2u8; 32]);

		let alice = BandersnatchVrfVerifiable::member_from_secret(&alice_sec);
		let bob = BandersnatchVrfVerifiable::member_from_secret(&bob_sec);
		let charlie = BandersnatchVrfVerifiable::member_from_secret(&charlie_sec);

		// First set is everyone all at once with the regular starting root.
		let mut inter1 = BandersnatchVrfVerifiable::start_members();
		// Second set is everyone all at once but with a starting root constructed from params.
		let (mut inter2, builder_params) = start_members_from_params();

		let get_many = |range| {
			(&builder_params)
				.lookup(range)
				.map(|v| v.into_iter().map(|i| StaticChunk(i)).collect::<Vec<_>>())
				.ok_or(())
		};

		// Third set is everyone added one by one.
		let mut inter3 = BandersnatchVrfVerifiable::start_members();
		// Fourth set is a single addition followed by a group addition.
		let mut inter4 = BandersnatchVrfVerifiable::start_members();

		// Construct the first set with all members added simultaneously.
		BandersnatchVrfVerifiable::push_members(
			&mut inter1,
			[alice.clone(), bob.clone(), charlie.clone()].into_iter(),
			get_many,
		)
		.unwrap();

		// Construct the second set with all members added simultaneously.
		BandersnatchVrfVerifiable::push_members(
			&mut inter2,
			[alice.clone(), bob.clone(), charlie.clone()].into_iter(),
			get_many,
		)
		.unwrap();

		// Construct the third set with all members added sequentially.
		BandersnatchVrfVerifiable::push_members(&mut inter3, [alice.clone()].into_iter(), get_many)
			.unwrap();
		BandersnatchVrfVerifiable::push_members(&mut inter3, [bob.clone()].into_iter(), get_many)
			.unwrap();
		BandersnatchVrfVerifiable::push_members(
			&mut inter3,
			[charlie.clone()].into_iter(),
			get_many,
		)
		.unwrap();

		// Construct the fourth set with the first member joining alone, followed by the other members joining together.
		BandersnatchVrfVerifiable::push_members(&mut inter4, [alice.clone()].into_iter(), get_many)
			.unwrap();
		BandersnatchVrfVerifiable::push_members(
			&mut inter4,
			[bob.clone(), charlie.clone()].into_iter(),
			get_many,
		)
		.unwrap();

		assert_eq!(inter1, inter2);
		assert_eq!(inter2, inter3);
		assert_eq!(inter3, inter4);

		let members1 = BandersnatchVrfVerifiable::finish_members(inter1);
		let members2 = BandersnatchVrfVerifiable::finish_members(inter2);
		let members3 = BandersnatchVrfVerifiable::finish_members(inter3);
		let members4 = BandersnatchVrfVerifiable::finish_members(inter4);
		assert_eq!(members1, members2);
		assert_eq!(members2, members3);
		assert_eq!(members3, members4);
	}

	#[test]
	fn test_plain_signature() {
		let msg = b"asd";
		let secret = BandersnatchVrfVerifiable::new_secret([0; 32]);
		let public = BandersnatchVrfVerifiable::member_from_secret(&secret);
		let signature = BandersnatchVrfVerifiable::sign(&secret, msg).unwrap();
		let res = BandersnatchVrfVerifiable::verify_signature(&signature, msg, &public);
		assert!(res);
	}

	#[test]
	fn open_validate_works() {
		use std::time::Instant;

		let context = b"Context";
		let message = b"FooBar";

		let start = Instant::now();
		let _ = ring_prover_params();
		println!(
			"* PCS params decode: {} ms",
			(Instant::now() - start).as_millis()
		);

		let members: Vec<_> = (0..10)
			.map(|i| {
				let secret = BandersnatchVrfVerifiable::new_secret([i as u8; 32]);
				BandersnatchVrfVerifiable::member_from_secret(&secret)
			})
			.collect();
		let member = members[3].clone();

		let start = Instant::now();
		let commitment =
			BandersnatchVrfVerifiable::open(&member, members.clone().into_iter()).unwrap();
		println!("* Open: {} ms", (Instant::now() - start).as_millis());
		println!("  Commitment size: {} bytes", commitment.encode().len()); // ~49 MB

		let secret = BandersnatchVrfVerifiable::new_secret([commitment.0 as u8; 32]);
		let start = Instant::now();
		let (proof, alias) =
			BandersnatchVrfVerifiable::create(commitment, &secret, context, message).unwrap();
		println!("* Create: {} ms", (Instant::now() - start).as_millis());
		println!("  Proof size: {} bytes", proof.encode().len()); // 788 bytes

		// `builder_params` can be serialized/deserialized to be loaded when required
		let (_, builder_params) = start_members_from_params();

		let get_many = |range| {
			(&builder_params)
				.lookup(range)
				.map(|v| v.into_iter().map(|i| StaticChunk(i)).collect::<Vec<_>>())
				.ok_or(())
		};

		let start = Instant::now();
		let mut inter = BandersnatchVrfVerifiable::start_members();
		println!(
			"* Start members: {} ms",
			(Instant::now() - start).as_millis()
		);

		let start = Instant::now();
		members.iter().for_each(|member| {
			BandersnatchVrfVerifiable::push_members(
				&mut inter,
				[member.clone()].into_iter(),
				get_many,
			)
			.unwrap();
		});

		println!(
			"* Push {} members: {} ms",
			members.len(),
			(Instant::now() - start).as_millis()
		);

		let start = Instant::now();
		let members = BandersnatchVrfVerifiable::finish_members(inter);
		println!(
			"* Finish members: {} ms",
			(Instant::now() - start).as_millis()
		);

		let start = Instant::now();
		let alias2 =
			BandersnatchVrfVerifiable::validate(&proof, &members, context, message).unwrap();
		println!("* Validate {} ms", (Instant::now() - start).as_millis());
		assert_eq!(alias, alias2);

		let start = Instant::now();
		let alias3 = BandersnatchVrfVerifiable::alias_in_context(&secret, context).unwrap();
		println!("* Alias: {} ms", (Instant::now() - start).as_millis());
		assert_eq!(alias, alias3);
	}

	#[test]
	fn open_validate_single_vs_multiple_keys() {
		use std::time::Instant;

		let start = Instant::now();
		let _ = ring_prover_params();
		println!("* KZG decode: {} ms", (Instant::now() - start).as_millis());

		let members: Vec<_> = (0..255)
			.map(|i| {
				let secret = BandersnatchVrfVerifiable::new_secret([i as u8; 32]);
				BandersnatchVrfVerifiable::member_from_secret(&secret)
			})
			.collect();

		// `builder_params` can be serialized/deserialized to be loaded when required
		let (_, builder_params) = start_members_from_params();

		let get_many = |range| {
			(&builder_params)
				.lookup(range)
				.map(|v| v.into_iter().map(|i| StaticChunk(i)).collect::<Vec<_>>())
				.ok_or(())
		};

		let mut inter1 = BandersnatchVrfVerifiable::start_members();
		let start = Instant::now();
		members.iter().for_each(|member| {
			BandersnatchVrfVerifiable::push_members(
				&mut inter1,
				[member.clone()].into_iter(),
				get_many,
			)
			.unwrap();
		});
		println!(
			"* Push {} members one at a time: {} ms",
			members.len(),
			(Instant::now() - start).as_millis()
		);

		let mut inter2 = BandersnatchVrfVerifiable::start_members();
		let start = Instant::now();

		BandersnatchVrfVerifiable::push_members(&mut inter2, members.iter().cloned(), get_many)
			.unwrap();
		println!(
			"* Push {} members simultaneously: {} ms",
			members.len(),
			(Instant::now() - start).as_millis()
		);

		assert_eq!(inter1, inter2);
	}

	#[test]
	fn test_is_member_valid_invalid() {
		let invalid_member = EncodedPublicKey([0; 32]);
		assert!(!BandersnatchVrfVerifiable::is_member_valid(&invalid_member));
	}

	#[test]
	fn test_is_member_valid_valid() {
		let secret = BandersnatchVrfVerifiable::new_secret([42u8; 32]);
		let valid_member = BandersnatchVrfVerifiable::member_from_secret(&secret);
		assert!(BandersnatchVrfVerifiable::is_member_valid(&valid_member));
	}
}