verifiable 0.3.0

Interface for cryptographic proof of membership of a set with known members
Documentation
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#[cfg(not(feature = "prover"))]
use crate::ring::make_ring_context;
use crate::ring::{
	Bls12_381Params, RingContext, RingDomainSize, RingSuiteExt, RingVrfVerifiable, VerifierCache,
	make_canonical_pcs_vk, make_empty_members_set,
};
use alloc::borrow::Cow;
pub use ark_vrf::suites::bandersnatch::BandersnatchSha512Ell2;
use spin::Once;

#[cfg(feature = "prover")]
use crate::ring::{ProverCache, make_ring_setup};

/// Bandersnatch ring VRF Verifiable (BandersnatchSha512Ell2 suite).
pub type BandersnatchVrfVerifiable = RingVrfVerifiable<BandersnatchSha512Ell2>;

/// Lazy-static cache for Bandersnatch ring context.
///
/// Computed once per domain size on first access and reused thereafter.
/// When the `prover` feature is enabled, the context is extracted from the
/// cached `RingSetup`.
pub struct BandersnatchVerifierCache;

impl VerifierCache<BandersnatchSha512Ell2> for BandersnatchVerifierCache {
	#[cfg(feature = "prover")]
	fn ring_context(
		domain_size: RingDomainSize,
	) -> Cow<'static, RingContext<BandersnatchSha512Ell2>> {
		Cow::Borrowed(BandersnatchProverCache::setup(domain_size).ring_context())
	}

	#[cfg(not(feature = "prover"))]
	fn ring_context(
		domain_size: RingDomainSize,
	) -> Cow<'static, RingContext<BandersnatchSha512Ell2>> {
		type P = RingContext<BandersnatchSha512Ell2>;
		static CELLS: [Once<P>; RingDomainSize::VARIANTS.len()] =
			[const { Once::new() }; RingDomainSize::VARIANTS.len()];
		Cow::Borrowed(CELLS[domain_size as usize].call_once(|| make_ring_context(domain_size)))
	}

	fn verifier_params() -> ark_vrf::ring::PcsVerifierParams<BandersnatchSha512Ell2> {
		static CELL: Once<ark_vrf::ring::PcsVerifierParams<BandersnatchSha512Ell2>> = Once::new();
		CELL.call_once(make_canonical_pcs_vk::<BandersnatchSha512Ell2>)
			.clone()
	}

	fn empty_members_set(
		domain_size: RingDomainSize,
	) -> crate::ring::MembersSet<BandersnatchSha512Ell2> {
		type M = crate::ring::MembersSet<BandersnatchSha512Ell2>;
		static CELLS: [Once<M>; RingDomainSize::VARIANTS.len()] =
			[const { Once::new() }; RingDomainSize::VARIANTS.len()];
		CELLS[domain_size as usize]
			.call_once(|| make_empty_members_set(domain_size))
			.clone()
	}
}

/// Lazy-static cache for Bandersnatch ring setup.
///
/// Computed once per domain size on first access and reused thereafter.
#[cfg(feature = "prover")]
pub struct BandersnatchProverCache;

#[cfg(feature = "prover")]
impl BandersnatchProverCache {
	/// Get or construct the cached ring setup for the given domain size.
	fn setup(
		domain_size: RingDomainSize,
	) -> &'static ark_vrf::ring::RingSetup<BandersnatchSha512Ell2> {
		type P = ark_vrf::ring::RingSetup<BandersnatchSha512Ell2>;
		static CELLS: [Once<P>; RingDomainSize::VARIANTS.len()] =
			[const { Once::new() }; RingDomainSize::VARIANTS.len()];
		CELLS[domain_size as usize].call_once(|| make_ring_setup(domain_size))
	}
}

#[cfg(feature = "prover")]
impl ProverCache<BandersnatchSha512Ell2> for BandersnatchProverCache {
	fn ring_setup(
		domain_size: RingDomainSize,
	) -> Cow<'static, ark_vrf::ring::RingSetup<BandersnatchSha512Ell2>> {
		Cow::Borrowed(Self::setup(domain_size))
	}
}

impl RingSuiteExt for ark_vrf::suites::bandersnatch::BandersnatchSha512Ell2 {
	const VRF_INPUT_DOMAIN: &[u8] = b"VerifiableBandersnatchVrfInput";

	const PUBLIC_KEY_SIZE: usize = 32;
	const MEMBERS_SET_SIZE: usize = 848;
	const MEMBERS_COMMITMENT_SIZE: usize = 288;
	const STATIC_CHUNK_SIZE: usize = 96;
	const SIGNATURE_SIZE: usize = 64;
	const RING_PROOF_SIZE: usize = 752;
	const VRF_OUTPUT_SIZE: usize = 32;

	type CurveParams = Bls12_381Params;

	type PublicKeyBytes = [u8; Self::PUBLIC_KEY_SIZE];
	type SignatureBytes = [u8; Self::SIGNATURE_SIZE];

	type VerifierCache = BandersnatchVerifierCache;

	#[cfg(feature = "prover")]
	type ProverCache = BandersnatchProverCache;
}

#[cfg(test)]
mod tests {
	use ark_scale::MaxEncodedLen;
	use ark_serialize::{CanonicalDeserialize, CanonicalSerialize};
	use ark_vrf::ring::SrsLookup;

	use super::*;
	use crate::{GenerateVerifiable, ring::ring_signature_size};

	// Type aliases for Bandersnatch-specific generic types
	pub type MembersSet = crate::ring::MembersSet<BandersnatchSha512Ell2>;
	pub type MembersCommitment = crate::ring::MembersCommitment<BandersnatchSha512Ell2>;
	pub type StaticChunk = crate::ring::StaticChunk<BandersnatchSha512Ell2>;

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

	pub fn bandersnatch_ring_setup(
		domain_size: RingDomainSize,
	) -> &'static ark_vrf::ring::RingSetup<BandersnatchSha512Ell2> {
		BandersnatchProverCache::setup(domain_size)
	}

	pub fn start_members_from_params(
		domain_size: RingDomainSize,
	) -> (MembersSet, RingBuilderPcsParams) {
		let (builder, builder_pcs_params) =
			bandersnatch_ring_setup(domain_size).verifier_key_builder();
		(crate::ring::MembersSet(builder), builder_pcs_params)
	}

	#[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 test_is_member_valid_invalid() {
		let invalid_member = [0u8; 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));
	}

	#[test]
	fn ring_size_check() {
		const DOM_TO_RING_SIZE_MAP: [(RingDomainSize, usize); 3] = [
			(RingDomainSize::Domain11, 255),
			(RingDomainSize::Domain12, 767),
			(RingDomainSize::Domain16, 16127),
		];
		for (dom_size, exp_ring_size) in DOM_TO_RING_SIZE_MAP {
			assert_eq!(
				dom_size.max_ring_size::<BandersnatchSha512Ell2>(),
				exp_ring_size
			);
		}
	}

	/// Verify that the size constants in `RingSuiteExt` match actual serialized sizes.
	#[test]
	fn codec_assumptions_check() {
		use ark_vrf::suites::bandersnatch::BandersnatchSha512Ell2 as S;

		// PUBLIC_KEY_SIZE
		let secret = BandersnatchVrfVerifiable::new_secret([0u8; 32]);
		let public = BandersnatchVrfVerifiable::member_from_secret(&secret);
		let internal = crate::ring::PublicKey::<BandersnatchSha512Ell2>::deserialize_compressed(
			public.as_ref(),
		)
		.unwrap();
		assert_eq!(internal.compressed_size(), S::PUBLIC_KEY_SIZE);

		// MEMBERS_SET_SIZE (uncompressed, TRUSTED_SOURCE encoding)
		let members_set = BandersnatchVrfVerifiable::start_members(RingDomainSize::Domain11);
		assert_eq!(members_set.uncompressed_size(), S::MEMBERS_SET_SIZE);
		assert_eq!(MembersSet::max_encoded_len(), S::MEMBERS_SET_SIZE);

		// MEMBERS_COMMITMENT_SIZE (uncompressed, TRUSTED_SOURCE encoding)
		let commitment = BandersnatchVrfVerifiable::finish_members(members_set);
		assert_eq!(commitment.uncompressed_size(), S::MEMBERS_COMMITMENT_SIZE);
		assert_eq!(
			MembersCommitment::max_encoded_len(),
			S::MEMBERS_COMMITMENT_SIZE
		);

		// STATIC_CHUNK_SIZE (uncompressed, TRUSTED_SOURCE encoding)
		let (_, builder_params) = start_members_from_params(RingDomainSize::Domain11);
		let chunks: Vec<_> = (&builder_params).lookup(0..1).unwrap();
		let chunk: StaticChunk = crate::ring::StaticChunk(chunks[0]);
		assert_eq!(chunk.uncompressed_size(), S::STATIC_CHUNK_SIZE);
		assert_eq!(StaticChunk::max_encoded_len(), S::STATIC_CHUNK_SIZE);

		// SIGNATURE_SIZE
		let signature = BandersnatchVrfVerifiable::sign(&secret, b"test").unwrap();
		assert_eq!(signature.len(), S::SIGNATURE_SIZE);
	}

	/// The cached empty-ring members set must be indistinguishable from a fresh
	/// deserialization of the embedded data, for every domain size.
	#[test]
	fn empty_members_set_cache_consistency() {
		for &domain in RingDomainSize::VARIANTS.iter() {
			assert_eq!(
				BandersnatchVerifierCache::empty_members_set(domain),
				crate::ring::make_empty_members_set(domain),
			);
		}
	}

	/// The canonical PCS verifier params are the same for every domain size:
	/// the raw KZG key is `(g1, g2, tau*g2)` from the SRS, untouched by domain
	/// truncation. `make_canonical_pcs_vk` relies on this by deriving a single
	/// per-suite value from an arbitrary domain's embedded data; this pins the
	/// claim against every domain's data, and that the cache serves that value.
	#[test]
	fn canonical_pcs_vk_is_domain_independent() {
		let canonical = crate::ring::make_canonical_pcs_vk::<BandersnatchSha512Ell2>();
		for &domain in RingDomainSize::VARIANTS.iter() {
			let from_domain = BandersnatchVrfVerifiable::start_members(domain)
				.0
				.pcs_verifier_params();
			assert_eq!(from_domain, canonical);
		}
		assert_eq!(BandersnatchVerifierCache::verifier_params(), canonical);
	}

	/// The canonical PCS verifier params recovered from the embedded empty-ring
	/// builder data must be exactly the raw KZG verifier key of the shipped SRS:
	/// `{g1: powers_in_g1[0], g2: powers_in_g2[0], tau_in_g2: powers_in_g2[1]}`.
	/// Guards against the embedded builder data drifting from the SRS.
	#[cfg(feature = "prover")]
	#[test]
	fn canonical_pcs_vk_matches_srs() {
		let domain = RingDomainSize::Domain11;
		let pcs_params = &bandersnatch_ring_setup(domain).pcs_params;

		let canonical = crate::ring::make_canonical_pcs_vk::<BandersnatchSha512Ell2>();
		assert_eq!(canonical.g1, pcs_params.powers_in_g1[0]);
		assert_eq!(canonical.g2, pcs_params.powers_in_g2[0]);
		assert_eq!(canonical.tau_in_g2, pcs_params.powers_in_g2[1]);
	}

	/// Verify that proof sizes match the `RingSuiteExt` size constants.
	#[cfg(feature = "prover")]
	#[test]
	fn proof_size_check() {
		use ark_serialize::Compress;
		type S = BandersnatchSha512Ell2;

		let secrets: Vec<_> = (0..3)
			.map(|i| BandersnatchVrfVerifiable::new_secret([i; 32]))
			.collect();
		let member_keys: Vec<_> = secrets
			.iter()
			.map(BandersnatchVrfVerifiable::member_from_secret)
			.collect();

		let commitment = BandersnatchVrfVerifiable::open(
			RingDomainSize::Domain11,
			&member_keys[0],
			member_keys.iter().cloned(),
		)
		.unwrap();

		// Single context: verify raw bytes match RING_PROOF_SIZE + 1 + VRF_OUTPUT_SIZE
		let (proof, _) =
			BandersnatchVrfVerifiable::create(commitment.clone(), &secrets[0], b"ctx", b"msg")
				.unwrap();
		assert_eq!(proof.len(), ring_signature_size::<S>(1));

		// Deserialize and verify serialized_size matches the raw length
		let signature =
			crate::ring::RingVrfSignature::<S>::deserialize_compressed(proof.as_slice()).unwrap();
		assert_eq!(signature.serialized_size(Compress::Yes), proof.len());

		// Multi context (3): verify the size scales with VRF_OUTPUT_SIZE per context
		let contexts: Vec<&[u8]> = vec![b"a", b"b", b"c"];
		let (proof_multi, _) = BandersnatchVrfVerifiable::create_multi_context(
			commitment,
			&secrets[0],
			&contexts,
			b"msg",
		)
		.unwrap();
		assert_eq!(proof_multi.len(), ring_signature_size::<S>(3));
	}

	// The ring proof's zero-knowledge blinding must be active in every prover
	// configuration: repeating a proof over identical inputs must give different
	// bytes (fresh randomness each time). A deterministic proof is a function of
	// the witness, so the ring member index becomes recoverable from public data
	// while the proof still verifies (SRLabs finding #710). A compile-time guard
	// cannot see an upstream regression (e.g. ring-proof disabling blinding
	// again); this test does.
	#[test]
	fn ring_proof_blinding_regression() {
		let domain_size = RingDomainSize::Domain11;
		let secret = BandersnatchVrfVerifiable::new_secret([42; 32]);
		let member = BandersnatchVrfVerifiable::member_from_secret(&secret);
		let prove = || {
			let commitment =
				BandersnatchVrfVerifiable::open(domain_size, &member, [member].into_iter())
					.unwrap();
			BandersnatchVrfVerifiable::create(commitment, &secret, b"ctx", b"msg")
				.unwrap()
				.0
		};
		let (first, second) = (prove(), prove());
		assert_ne!(first, second);
	}
}

#[cfg(test)]
mod builder_tests {
	use crate::{GenerateVerifiable, ring::ring_verifier_builder_params};

	use super::*;
	use ark_scale::MaxEncodedLen;
	use ark_serialize::{CanonicalDeserialize, CanonicalSerialize};
	use ark_vrf::{ring::SrsLookup, suites::bandersnatch::BandersnatchSha512Ell2};
	use parity_scale_codec::{Decode, Encode};

	use tests::{
		MembersCommitment, MembersSet, bandersnatch_ring_setup, start_members_from_params,
	};

	/// Macro to generate test functions for all implemented domain sizes.
	///
	/// Usage:
	/// ```ignore
	/// test_for_all_domains!(test_name, |domain_size| {
	///     // test body using domain_size
	/// });
	/// ```
	macro_rules! test_for_all_domains {
		($test_name:ident, |$domain_size:ident| $body:block) => {
			paste::paste! {
				#[test]
				fn [<$test_name _domain11>]() {
					let $domain_size = RingDomainSize::Domain11;
					$body
				}

				#[test]
				fn [<$test_name _domain12>]() {
					let $domain_size = RingDomainSize::Domain12;
					$body
				}

				#[test]
				fn [<$test_name _domain16>]() {
					let $domain_size = RingDomainSize::Domain16;
					$body
				}
			}
		};
	}

	#[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/bls12-381/zcash-srs-2-16-uncompressed.bin"
		);
		const SRS_COMPRESSED_FILE: &str = concat!(
			env!("CARGO_MANIFEST_DIR"),
			"/src/ring/data/bls12-381/srs-compressed.bin"
		);
		const SRS_UNCOMPRESSED_FILE: &str = concat!(
			env!("CARGO_MANIFEST_DIR"),
			"/src/ring/data/bls12-381/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());

		// Use Domain16 for SRS generation (largest domain)
		let full_params = bandersnatch_ring_setup(RingDomainSize::Domain16);

		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();
	}

	// Run only if there are some breaking changes in the backend crypto and binaries
	// need to be re-generated.
	#[test]
	#[ignore = "ring builder generator - generates ring data for all domain sizes"]
	fn generate_empty_ring_builders() {
		use std::io::Write;

		for domain_size in RingDomainSize::VARIANTS {
			let (builder, builder_params) = start_members_from_params(domain_size);

			let builder_file = format!(
				"{}/src/ring/data/bls12-381/ring-builder-domain{}.bin",
				env!("CARGO_MANIFEST_DIR"),
				domain_size.as_power()
			);
			let params_file = format!(
				"{}/src/ring/data/bls12-381/ring-builder-params-domain{}.bin",
				env!("CARGO_MANIFEST_DIR"),
				domain_size.as_power()
			);

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

	test_for_all_domains!(check_pre_constructed_ring_builder, |domain_size| {
		let builder = BandersnatchVrfVerifiable::start_members(domain_size);
		let builder_params = ring_verifier_builder_params::<BandersnatchSha512Ell2>(domain_size);
		let (builder2, builder_params2) = start_members_from_params(domain_size);

		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_for_all_domains!(check_precomputed_size, |domain_size| {
		let secret = BandersnatchVrfVerifiable::new_secret([0u8; 32]);
		let public = BandersnatchVrfVerifiable::member_from_secret(&secret);
		let internal = crate::ring::PublicKey::<BandersnatchSha512Ell2>::deserialize_compressed(
			public.as_ref(),
		)
		.unwrap();
		assert_eq!(
			internal.compressed_size(),
			<BandersnatchSha512Ell2 as RingSuiteExt>::PUBLIC_KEY_SIZE
		);

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

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

	test_for_all_domains!(start_push_finish, |domain_size| {
		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(domain_size);
		let mut inter2 = inter1.clone();
		let builder_params = ring_verifier_builder_params::<BandersnatchSha512Ell2>(domain_size);

		let get_many = chunk_lookup(&builder_params);

		BandersnatchVrfVerifiable::push_members(
			&mut inter1,
			[alice, bob, charlie].into_iter(),
			get_many,
		)
		.unwrap();
		BandersnatchVrfVerifiable::push_members(&mut inter2, [alice].into_iter(), get_many)
			.unwrap();
		BandersnatchVrfVerifiable::push_members(&mut inter2, [bob].into_iter(), get_many).unwrap();
		BandersnatchVrfVerifiable::push_members(&mut inter2, [charlie].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_for_all_domains!(start_push_finish_multiple_members, |domain_size| {
		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(domain_size);
		// Second set is everyone all at once but with a starting root constructed from params.
		let (mut inter2, builder_params) = start_members_from_params(domain_size);

		let get_many = chunk_lookup(&builder_params);

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

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

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

		// Construct the third set with all members added sequentially.
		BandersnatchVrfVerifiable::push_members(&mut inter3, [alice].into_iter(), get_many)
			.unwrap();
		BandersnatchVrfVerifiable::push_members(&mut inter3, [bob].into_iter(), get_many).unwrap();
		BandersnatchVrfVerifiable::push_members(&mut inter3, [charlie].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].into_iter(), get_many)
			.unwrap();
		BandersnatchVrfVerifiable::push_members(&mut inter4, [bob, charlie].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_for_all_domains!(open_validate_works, |domain_size| {
		use std::time::Instant;

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

		let start = Instant::now();
		let _ = bandersnatch_ring_setup(domain_size);
		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];

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

		let secret = BandersnatchVrfVerifiable::new_secret([commitment.prover_idx 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());

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

		let get_many = chunk_lookup(&builder_params);

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

		let start = Instant::now();
		members.iter().for_each(|member| {
			BandersnatchVrfVerifiable::push_members(&mut inter, [*member].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(domain_size, &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_for_all_domains!(batch_validate_multiple_proofs, |domain_size| {
		use crate::BatchProofItem;
		use std::time::Instant;

		let context = b"Context";
		let num_members = 10;
		let num_proofs = 5;

		let _ = bandersnatch_ring_setup(domain_size);

		// Generate members
		let secrets: Vec<_> = (0..num_members)
			.map(|i| BandersnatchVrfVerifiable::new_secret([i as u8; 32]))
			.collect();
		let member_keys: Vec<_> = secrets
			.iter()
			.map(BandersnatchVrfVerifiable::member_from_secret)
			.collect();

		// Create proofs from different members with different messages
		let mut proofs = Vec::new();
		let mut expected_aliases = Vec::new();
		for i in 0..num_proofs {
			let member = member_keys[i];
			let message = format!("Message from member {}", i);
			let commitment = BandersnatchVrfVerifiable::open(
				domain_size,
				&member,
				member_keys.clone().into_iter(),
			)
			.unwrap();
			let (proof, alias) = BandersnatchVrfVerifiable::create(
				commitment,
				&secrets[i],
				context,
				message.as_bytes(),
			)
			.unwrap();
			proofs.push((proof, message, alias));
			expected_aliases.push(alias);
		}

		// Build the ring commitment for verification
		let (_, builder_params) = start_members_from_params(domain_size);
		let get_many = chunk_lookup(&builder_params);
		let mut inter = BandersnatchVrfVerifiable::start_members(domain_size);
		BandersnatchVrfVerifiable::push_members(&mut inter, member_keys.iter().copied(), get_many)
			.unwrap();
		let members = BandersnatchVrfVerifiable::finish_members(inter);

		// Individual validation
		let start = Instant::now();
		for (proof, message, expected_alias) in &proofs {
			let alias_out = BandersnatchVrfVerifiable::validate(
				domain_size,
				proof,
				&members,
				context,
				message.as_bytes(),
			)
			.unwrap();
			assert_eq!(&alias_out, expected_alias);
		}
		let individual_ms = (Instant::now() - start).as_millis();
		println!(
			"* Individual validate {} proofs: {} ms",
			num_proofs, individual_ms
		);

		// Batch validation
		let batch_items: Vec<_> = proofs
			.iter()
			.map(|(proof, message, _)| BatchProofItem {
				proof: proof.clone(),
				config: domain_size,
				members: members.clone(),
				context: context.to_vec(),
				message: message.as_bytes().to_vec(),
			})
			.collect();

		let start = Instant::now();
		let aliases = BandersnatchVrfVerifiable::batch_validate(&batch_items).unwrap();
		let batch_ms = (Instant::now() - start).as_millis();
		println!("* Batch validate {} proofs: {} ms", num_proofs, batch_ms);

		// Verify aliases match
		assert_eq!(aliases, expected_aliases);

		// The per-item variant agrees on an all-valid batch.
		let results = BandersnatchVrfVerifiable::batch_validate_per_item(&batch_items);
		assert_eq!(results, aliases.into_iter().map(Ok).collect::<Vec<_>>());

		// An empty batch is vacuously valid for both variants.
		assert_eq!(BandersnatchVrfVerifiable::batch_validate(&[]), Ok(vec![]));
		assert!(BandersnatchVrfVerifiable::batch_validate_per_item(&[]).is_empty());

		println!(
			"* Speedup: {:.2}x",
			individual_ms as f64 / batch_ms.max(1) as f64
		);
	});

	// A junk item is free to produce, so the two batch semantics must both hold:
	// `batch_validate` rejects the whole batch (all-or-nothing), while
	// `batch_validate_per_item` attributes the failure to the offending item
	// without affecting the others.
	test_for_all_domains!(batch_validate_invalid_items, |domain_size| {
		use crate::BatchProofItem;

		let context = b"Context";
		let num_members = 5;

		let _ = bandersnatch_ring_setup(domain_size);

		// Generate members
		let secrets: Vec<_> = (0..num_members)
			.map(|i| BandersnatchVrfVerifiable::new_secret([i as u8; 32]))
			.collect();
		let member_keys: Vec<_> = secrets
			.iter()
			.map(BandersnatchVrfVerifiable::member_from_secret)
			.collect();

		// Build the ring commitment for verification
		let (_, builder_params) = start_members_from_params(domain_size);
		let get_many = chunk_lookup(&builder_params);
		let mut inter = BandersnatchVrfVerifiable::start_members(domain_size);
		BandersnatchVrfVerifiable::push_members(&mut inter, member_keys.iter().copied(), get_many)
			.unwrap();
		let members = BandersnatchVrfVerifiable::finish_members(inter);

		// Create 3 valid proofs
		let mut batch_items = Vec::new();
		let mut expected = Vec::new();
		for i in 0..3 {
			let member = member_keys[i];
			let message = format!("Message from member {}", i);
			let commitment = BandersnatchVrfVerifiable::open(
				domain_size,
				&member,
				member_keys.clone().into_iter(),
			)
			.unwrap();
			let (proof, alias) = BandersnatchVrfVerifiable::create(
				commitment,
				&secrets[i],
				context,
				message.as_bytes(),
			)
			.unwrap();
			expected.push(alias);
			batch_items.push(BatchProofItem {
				proof,
				config: domain_size,
				members: members.clone(),
				context: context.to_vec(),
				message: message.into_bytes(),
			});
		}
		let all_valid: Vec<_> = expected.iter().copied().map(Ok).collect();

		// Sanity: batch with all valid proofs should pass
		assert_eq!(
			BandersnatchVrfVerifiable::batch_validate(&batch_items),
			Ok(expected.clone())
		);

		// Corrupt the proof of the second item by flipping a byte in the proof data
		let mut corrupted_items = batch_items.clone();
		corrupted_items[1].proof[10] ^= 0xFF;

		assert!(BandersnatchVrfVerifiable::batch_validate(&corrupted_items).is_err());
		let results = BandersnatchVrfVerifiable::batch_validate_per_item(&corrupted_items);
		assert!(results[1].is_err());
		assert_eq!(results[0], all_valid[0]);
		assert_eq!(results[2], all_valid[2]);

		// A wrong message on a valid proof decodes fine and only fails the combined
		// check, so this exercises the bisecting attribution path.
		let mut wrong_message_items = batch_items.clone();
		wrong_message_items[2].message = b"tampered message".to_vec();

		assert_eq!(
			BandersnatchVrfVerifiable::batch_validate(&wrong_message_items),
			Err(crate::Error::VerificationFailed)
		);
		let results = BandersnatchVrfVerifiable::batch_validate_per_item(&wrong_message_items);
		assert_eq!(
			results,
			vec![
				all_valid[0],
				all_valid[1],
				Err(crate::Error::VerificationFailed)
			]
		);

		// Multiple bad items: bisection must descend into both halves.
		let mut two_bad_items = batch_items.clone();
		two_bad_items[0].message = b"tampered message".to_vec();
		two_bad_items[2].message = b"tampered message".to_vec();

		assert!(BandersnatchVrfVerifiable::batch_validate(&two_bad_items).is_err());
		let results = BandersnatchVrfVerifiable::batch_validate_per_item(&two_bad_items);
		assert_eq!(
			results,
			vec![
				Err(crate::Error::VerificationFailed),
				all_valid[1],
				Err(crate::Error::VerificationFailed)
			]
		);

		// Test with a proof from a non-member key.
		// Generate a new key that is NOT in the ring, create a proof using a ring
		// that includes the outsider (so `open`/`create` succeed), then submit that
		// proof against the original ring which does not contain the outsider.
		let outsider_secret = BandersnatchVrfVerifiable::new_secret([0xFFu8; 32]);
		let outsider_key = BandersnatchVrfVerifiable::member_from_secret(&outsider_secret);
		let mut extended_keys = member_keys.clone();
		extended_keys.push(outsider_key);
		let outsider_commitment =
			BandersnatchVrfVerifiable::open(domain_size, &outsider_key, extended_keys.into_iter())
				.unwrap();
		let (outsider_proof, _) = BandersnatchVrfVerifiable::create(
			outsider_commitment,
			&outsider_secret,
			context,
			b"outsider message",
		)
		.unwrap();
		let mut outsider_items = batch_items.clone();
		outsider_items.push(BatchProofItem {
			proof: outsider_proof,
			config: domain_size,
			members: members.clone(),
			context: context.to_vec(),
			message: b"outsider message".to_vec(),
		});

		assert!(BandersnatchVrfVerifiable::batch_validate(&outsider_items).is_err());
		let results = BandersnatchVrfVerifiable::batch_validate_per_item(&outsider_items);
		assert_eq!(results[..3], all_valid);
		assert_eq!(results[3], Err(crate::Error::VerificationFailed));

		// Test with a proof created under a different context
		let wrong_context = b"WrongContext";
		let member = member_keys[0];
		let wrong_ctx_commitment =
			BandersnatchVrfVerifiable::open(domain_size, &member, member_keys.clone().into_iter())
				.unwrap();
		let (wrong_ctx_proof, _) = BandersnatchVrfVerifiable::create(
			wrong_ctx_commitment,
			&secrets[0],
			wrong_context,
			b"some message",
		)
		.unwrap();
		let mut wrong_ctx_items = batch_items.clone();
		wrong_ctx_items.push(BatchProofItem {
			proof: wrong_ctx_proof,
			config: domain_size,
			members: members.clone(),
			context: context.to_vec(),
			message: b"some message".to_vec(),
		});

		assert!(BandersnatchVrfVerifiable::batch_validate(&wrong_ctx_items).is_err());
		let results = BandersnatchVrfVerifiable::batch_validate_per_item(&wrong_ctx_items);
		assert_eq!(results[..3], all_valid);
		assert_eq!(results[3], Err(crate::Error::VerificationFailed));
	});

	// Each `BatchProofItem` carries its own ring, so a batch may mix proofs from
	// different rings. Verifies a cross-ring batch and that swapping the per-item
	// ring (verifying a proof against the wrong ring) is rejected.
	test_for_all_domains!(batch_validate_multiple_rings, |domain_size| {
		use crate::BatchProofItem;

		let context = b"Context";
		let _ = bandersnatch_ring_setup(domain_size);

		// Two disjoint rings of the same domain size.
		let make_ring = |seed_base: u8| {
			let secrets: Vec<_> = (0..4)
				.map(|i| BandersnatchVrfVerifiable::new_secret([seed_base + i as u8; 32]))
				.collect();
			let keys: Vec<_> = secrets
				.iter()
				.map(BandersnatchVrfVerifiable::member_from_secret)
				.collect();
			let members = build_members(keys.iter().copied(), domain_size);
			(secrets, keys, members)
		};
		let (secrets_a, keys_a, members_a) = make_ring(0);
		let (secrets_b, keys_b, members_b) = make_ring(100);

		// The two rings really are distinct.
		assert_ne!(members_a.encode(), members_b.encode());

		// One proof from each ring.
		let commitment_a =
			BandersnatchVrfVerifiable::open(domain_size, &keys_a[1], keys_a.iter().copied())
				.unwrap();
		let (proof_a, alias_a) =
			BandersnatchVrfVerifiable::create(commitment_a, &secrets_a[1], context, b"from ring A")
				.unwrap();
		let commitment_b =
			BandersnatchVrfVerifiable::open(domain_size, &keys_b[2], keys_b.iter().copied())
				.unwrap();
		let (proof_b, alias_b) =
			BandersnatchVrfVerifiable::create(commitment_b, &secrets_b[2], context, b"from ring B")
				.unwrap();

		let batch = vec![
			BatchProofItem {
				proof: proof_a,
				config: domain_size,
				members: members_a.clone(),
				context: context.to_vec(),
				message: b"from ring A".to_vec(),
			},
			BatchProofItem {
				proof: proof_b,
				config: domain_size,
				members: members_b.clone(),
				context: context.to_vec(),
				message: b"from ring B".to_vec(),
			},
		];

		let aliases = BandersnatchVrfVerifiable::batch_validate(&batch).unwrap();
		assert_eq!(aliases, vec![alias_a, alias_b]);

		// Swapping the per-item rings verifies each proof against the wrong ring,
		// which must fail; the per-item variant attributes both items.
		let mut swapped = batch.clone();
		swapped[0].members = members_b;
		swapped[1].members = members_a;
		assert!(BandersnatchVrfVerifiable::batch_validate(&swapped).is_err());
		assert_eq!(
			BandersnatchVrfVerifiable::batch_validate_per_item(&swapped),
			vec![
				Err(crate::Error::VerificationFailed),
				Err(crate::Error::VerificationFailed)
			]
		);
	});

	// A single batch may mix proofs from rings of *different* domain sizes: the
	// KZG SRS is shared across domain sizes, and each item supplies its own
	// `config` so the verifier uses the right PIOP domain for each proof.
	#[test]
	fn batch_validate_mixed_domains() {
		use crate::BatchProofItem;

		let context = b"Context";

		let mut batch = Vec::new();
		let mut expected = Vec::new();
		for domain_size in RingDomainSize::VARIANTS.iter().copied() {
			let _ = bandersnatch_ring_setup(domain_size);

			let secrets: Vec<_> = (0..4)
				.map(|i| BandersnatchVrfVerifiable::new_secret([i as u8; 32]))
				.collect();
			let keys: Vec<_> = secrets
				.iter()
				.map(BandersnatchVrfVerifiable::member_from_secret)
				.collect();

			let members = build_members(keys.iter().copied(), domain_size);
			let commitment =
				BandersnatchVrfVerifiable::open(domain_size, &keys[1], keys.iter().copied())
					.unwrap();
			let msg = format!("proof at {:?}", domain_size);
			let (proof, alias) =
				BandersnatchVrfVerifiable::create(commitment, &secrets[1], context, msg.as_bytes())
					.unwrap();

			expected.push(alias);
			batch.push(BatchProofItem {
				proof,
				config: domain_size,
				members,
				context: context.to_vec(),
				message: msg.into_bytes(),
			});
		}

		// Sanity: the batch really spans all three domain sizes.
		assert_eq!(batch.len(), 3);

		assert_eq!(
			BandersnatchVrfVerifiable::batch_validate(&batch),
			Ok(expected.clone())
		);

		// Verifying one item under the wrong domain size fails the whole batch;
		// the per-item variant pins the failure on that item alone.
		let mut wrong = batch.clone();
		wrong[0].config = wrong[1].config;
		assert!(BandersnatchVrfVerifiable::batch_validate(&wrong).is_err());
		let all_valid: Vec<_> = expected.iter().copied().map(Ok).collect();
		let results = BandersnatchVrfVerifiable::batch_validate_per_item(&wrong);
		assert!(results[0].is_err());
		assert_eq!(results[1..], all_valid[1..]);
	}

	// Items rejected before entering the combined check (malformed bytes,
	// unsupported multi-context proofs) short-circuit `batch_validate`, while
	// `batch_validate_per_item` reports them at their own index with their own
	// error, leaving the other items' outcomes untouched.
	#[test]
	fn batch_validate_per_item_reports_errors() {
		use crate::BatchProofItem;
		use bounded_collections::BoundedVec;

		let domain_size = RingDomainSize::Domain11;
		let context = b"Context";
		let message = b"msg";
		let _ = bandersnatch_ring_setup(domain_size);

		let secrets: Vec<_> = (0..3)
			.map(|i| BandersnatchVrfVerifiable::new_secret([i as u8; 32]))
			.collect();
		let member_keys: Vec<_> = secrets
			.iter()
			.map(BandersnatchVrfVerifiable::member_from_secret)
			.collect();
		let members = build_members(member_keys.iter().copied(), domain_size);

		let commitment = BandersnatchVrfVerifiable::open(
			domain_size,
			&member_keys[0],
			member_keys.iter().copied(),
		)
		.unwrap();
		let (valid_proof, alias) =
			BandersnatchVrfVerifiable::create(commitment.clone(), &secrets[0], context, message)
				.unwrap();

		// Valid on its own, but not batchable.
		let (multi_ctx_proof, _) = BandersnatchVrfVerifiable::create_multi_context(
			commitment,
			&secrets[0],
			&[context.as_slice(), b"other context".as_slice()],
			message,
		)
		.unwrap();

		// Random bytes of the right length, the cheapest junk a submitter can produce.
		let garbage_proof = BoundedVec::try_from(vec![0xAA; valid_proof.len()]).unwrap();

		let make_item = |proof| BatchProofItem {
			proof,
			config: domain_size,
			members: members.clone(),
			context: context.to_vec(),
			message: message.to_vec(),
		};
		let batch = vec![
			make_item(garbage_proof),
			make_item(valid_proof),
			make_item(multi_ctx_proof),
		];

		assert_eq!(
			BandersnatchVrfVerifiable::batch_validate(&batch),
			Err(crate::Error::DecodeError),
		);
		assert_eq!(
			BandersnatchVrfVerifiable::batch_validate(&batch[1..]),
			Err(crate::Error::Unsupported),
		);
		assert_eq!(
			BandersnatchVrfVerifiable::batch_validate_per_item(&batch),
			vec![
				Err(crate::Error::DecodeError),
				Ok(alias),
				Err(crate::Error::Unsupported),
			],
		);
	}

	test_for_all_domains!(open_validate_single_vs_multiple_keys, |domain_size| {
		use std::time::Instant;

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

		// Use the domain's max ring size to test at capacity
		let max_members = domain_size.max_ring_size::<BandersnatchSha512Ell2>();
		println!(
			"* Testing with {} members (max for {:?})",
			max_members, domain_size
		);

		let members: Vec<_> = (0..max_members)
			.map(|i| {
				// Use a hash of the index to generate unique secrets for large rings
				let mut seed = [0u8; 32];
				seed[..8].copy_from_slice(&(i as u64).to_le_bytes());
				let secret = BandersnatchVrfVerifiable::new_secret(seed);
				BandersnatchVrfVerifiable::member_from_secret(&secret)
			})
			.collect();

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

		let get_many = chunk_lookup(&builder_params);

		let mut inter1 = BandersnatchVrfVerifiable::start_members(domain_size);
		let start = Instant::now();
		members.iter().for_each(|member| {
			BandersnatchVrfVerifiable::push_members(&mut inter1, [*member].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(domain_size);
		let start = Instant::now();

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

		assert_eq!(inter1, inter2);
	});

	// A ring larger than the domain allows must be reported as a full set. The member is
	// present in the ring, so `NotInRing` would send the caller to look for a missing key
	// instead of to larger parameters. Only the smallest domain is used: the check happens
	// before any ring construction work, so the larger domains add cost and no coverage.
	#[test]
	fn open_with_oversized_ring_reports_set_full() {
		let domain_size = RingDomainSize::Domain11;
		let over_capacity = domain_size.max_ring_size::<BandersnatchSha512Ell2>() + 1;

		let members: Vec<_> = (0..over_capacity)
			.map(|i| {
				let mut seed = [0u8; 32];
				seed[..8].copy_from_slice(&(i as u64).to_le_bytes());
				let secret = BandersnatchVrfVerifiable::new_secret(seed);
				BandersnatchVrfVerifiable::member_from_secret(&secret)
			})
			.collect();

		assert!(matches!(
			BandersnatchVrfVerifiable::open(domain_size, &members[0], members.iter().copied()),
			Err(crate::Error::SetFull)
		));
	}

	test_for_all_domains!(empty_context_works, |domain_size| {
		let _ = bandersnatch_ring_setup(domain_size);

		let secrets: Vec<_> = (0..3)
			.map(|i| BandersnatchVrfVerifiable::new_secret([i as u8; 32]))
			.collect();
		let member_keys: Vec<_> = secrets
			.iter()
			.map(BandersnatchVrfVerifiable::member_from_secret)
			.collect();
		let commitment = BandersnatchVrfVerifiable::open(
			domain_size,
			&member_keys[0],
			member_keys.iter().cloned(),
		)
		.unwrap();
		let members = build_members(member_keys.iter().copied(), domain_size);

		let contexts: [&[u8]; 0] = [];
		let message = b"Message";

		let (proof, aliases) = BandersnatchVrfVerifiable::create_multi_context(
			commitment,
			&secrets[0],
			&contexts,
			message,
		)
		.unwrap();

		assert!(aliases.is_empty());
		assert!(BandersnatchVrfVerifiable::is_valid_multi_context(
			domain_size,
			&proof,
			&members,
			&contexts,
			&aliases,
			message,
		));
	});

	test_for_all_domains!(multi_context_works, |domain_size| {
		let _ = bandersnatch_ring_setup(domain_size);

		let secrets: Vec<_> = (0..10)
			.map(|i| BandersnatchVrfVerifiable::new_secret([i as u8; 32]))
			.collect();
		let member_keys: Vec<_> = secrets
			.iter()
			.map(BandersnatchVrfVerifiable::member_from_secret)
			.collect();
		let member_secret = secrets[5].clone();
		let member = member_keys[5];
		let commitment =
			BandersnatchVrfVerifiable::open(domain_size, &member, member_keys.iter().cloned())
				.unwrap();
		let members = build_members(member_keys.iter().copied(), domain_size);

		let contexts = [
			b"Context A".as_ref(),
			b"Context B".as_ref(),
			b"Context C".as_ref(),
		];
		let message = b"Message";

		let (proof, aliases) = BandersnatchVrfVerifiable::create_multi_context(
			commitment.clone(),
			&member_secret,
			&contexts,
			message,
		)
		.unwrap();

		assert!(BandersnatchVrfVerifiable::is_valid_multi_context(
			domain_size,
			&proof,
			&members,
			&contexts,
			&aliases,
			message,
		));

		// Check that aliases produced by the `create` are the same as produced by `create_multi_context`
		// when contexts and messages match.
		for (ctx, mutli_ctx_alias) in contexts.iter().zip(aliases.iter()) {
			let (_, alias) =
				BandersnatchVrfVerifiable::create(commitment.clone(), &member_secret, ctx, message)
					.unwrap();

			assert_eq!(&alias, mutli_ctx_alias);
		}
	});

	// Regression: decoding a bogus members commitment must fail rather than
	// producing an invalid object that panics during verification. Since
	// arkworks 0.6 the all-zero encoding no longer works as the bogus witness:
	// the identity is represented as (0, 0), so all-zero bytes decode to a
	// commitment of identity points, a valid group element. Use a not-on-curve
	// point instead, and check that the identity commitment, while decodable,
	// fails verification cleanly.
	#[test]
	fn decode_bogus_commitment_fails() {
		// x = 1, y = 0: not on the curve (y^2 = 0 != x^3 + 4).
		let mut bad_bytes = vec![0u8; BandersnatchSha512Ell2::MEMBERS_COMMITMENT_SIZE];
		bad_bytes[0] = 1;
		assert!(MembersCommitment::decode(&mut &bad_bytes[..]).is_err());

		let zero_bytes = vec![0u8; BandersnatchSha512Ell2::MEMBERS_COMMITMENT_SIZE];
		let identity_members = MembersCommitment::decode(&mut &zero_bytes[..]).unwrap();

		let domain_size = RingDomainSize::Domain11;
		let secret = BandersnatchVrfVerifiable::new_secret([0; 32]);
		let member = BandersnatchVrfVerifiable::member_from_secret(&secret);
		let commitment =
			BandersnatchVrfVerifiable::open(domain_size, &member, [member].into_iter()).unwrap();
		let (proof, _) =
			BandersnatchVrfVerifiable::create(commitment, &secret, b"ctx", b"msg").unwrap();
		assert_eq!(
			BandersnatchVrfVerifiable::validate(
				domain_size,
				&proof,
				&identity_members,
				b"ctx",
				b"msg"
			),
			Err(crate::Error::VerificationFailed),
		);
	}

	// The `DecodeUnchecked::decode_unchecked` entry point shares the wire format
	// with the validating `Decode::decode` — this is what makes routing a
	// storage field through `decode_unchecked` a zero-migration change.
	#[test]
	fn decode_unchecked_reads_same_bytes() {
		use crate::ring::DecodeUnchecked;

		let domain_size = RingDomainSize::Domain11;
		let _ = bandersnatch_ring_setup(domain_size);

		let members_set = BandersnatchVrfVerifiable::start_members(domain_size);
		let commitment = BandersnatchVrfVerifiable::finish_members(members_set);

		let bytes = commitment.encode();
		let decoded = MembersCommitment::decode_unchecked(&mut &bytes[..]).expect("decode ok");
		assert_eq!(decoded.encode(), bytes);
	}

	// `decode_unchecked` must accept inputs that the validating decode path
	// rejects. Pair this with `decode_bogus_commitment_fails` — without that
	// test the property below would still hold trivially.
	#[test]
	fn decode_unchecked_skips_validation() {
		use crate::ring::DecodeUnchecked;

		// x = 1, y = 0: not on the curve (y^2 = 0 != x^3 + 4).
		let mut bad_bytes = vec![0u8; BandersnatchSha512Ell2::MEMBERS_COMMITMENT_SIZE];
		bad_bytes[0] = 1;

		// Validated path still rejects (sanity).
		assert!(MembersCommitment::decode(&mut &bad_bytes[..]).is_err());

		// Unchecked path accepts the same bytes.
		assert!(MembersCommitment::decode_unchecked(&mut &bad_bytes[..]).is_ok());
	}

	// A proof with trailing garbage bytes must not be accepted, otherwise the same
	// underlying signature could be re-encoded as multiple distinct byte arrays.
	#[test]
	fn validate_rejects_trailing_bytes() {
		use crate::BatchProofItem;
		use bounded_collections::BoundedVec;

		let domain_size = RingDomainSize::Domain11;

		let _ = bandersnatch_ring_setup(domain_size);

		let secrets: Vec<_> = (0..3)
			.map(|i| BandersnatchVrfVerifiable::new_secret([i as u8; 32]))
			.collect();
		let member_keys: Vec<_> = secrets
			.iter()
			.map(BandersnatchVrfVerifiable::member_from_secret)
			.collect();

		let members = build_members(member_keys.iter().copied(), domain_size);
		let commitment = BandersnatchVrfVerifiable::open(
			domain_size,
			&member_keys[0],
			member_keys.iter().cloned(),
		)
		.unwrap();

		let context = b"ctx";
		let message = b"msg";
		let (proof, alias) =
			BandersnatchVrfVerifiable::create(commitment, &secrets[0], context, message).unwrap();

		// Original proof validates.
		let alias_out =
			BandersnatchVrfVerifiable::validate(domain_size, &proof, &members, context, message)
				.unwrap();
		assert_eq!(alias_out, alias);

		// Malleate by appending bytes; this must be rejected.
		let mut bytes = proof.into_inner();
		bytes.extend_from_slice(&[0u8; 16]);
		let proof_malleated: <BandersnatchVrfVerifiable as GenerateVerifiable>::Proof =
			BoundedVec::try_from(bytes).unwrap();

		assert!(
			BandersnatchVrfVerifiable::validate(
				domain_size,
				&proof_malleated,
				&members,
				context,
				message,
			)
			.is_err()
		);

		// Same check via batch_validate.
		let batch_items = vec![BatchProofItem {
			proof: proof_malleated,
			config: domain_size,
			members: members.clone(),
			context: context.to_vec(),
			message: message.to_vec(),
		}];
		assert_eq!(
			BandersnatchVrfVerifiable::batch_validate(&batch_items),
			Err(crate::Error::DecodeError),
		);
	}

	// The neutral element passes the subgroup check, so `is_member_valid`
	// used to accept it while `push_members` panicked deep in the ring-proof crate
	// `append` path (`xy().unwrap()` on a point with no affine coordinates). Both must
	// now agree and reject it. Exercises the on-chain `push_members` path.
	#[test]
	fn push_members_rejects_identity() {
		let domain_size = RingDomainSize::Domain11;
		let _ = bandersnatch_ring_setup(domain_size);

		// Compressed encoding of the neutral element: 0x01 followed by zeros.
		let mut identity = [0u8; 32];
		<BandersnatchSha512Ell2 as ark_vrf::Suite>::Affine::zero()
			.serialize_compressed(&mut identity[..])
			.unwrap();
		assert_eq!(identity[0], 0x01);
		assert!(identity[1..].iter().all(|b| *b == 0));

		// Validity predicate rejects it
		assert!(!BandersnatchVrfVerifiable::is_member_valid(&identity));

		// Construction returns an error instead of panicking.
		let (_, builder_params) = start_members_from_params(domain_size);
		let get_many = chunk_lookup(&builder_params);
		let mut inter = BandersnatchVrfVerifiable::start_members(domain_size);
		let res =
			BandersnatchVrfVerifiable::push_members(&mut inter, [identity].into_iter(), get_many);
		assert!(matches!(res, Err(crate::Error::InvalidMember)));
	}

	// `MembersCommitment` holds only the ring commitment; verification always
	// rebuilds the verifier key with the suite's canonical KZG key. A commitment
	// computed under an attacker-chosen SRS, together with a proof valid under
	// that SRS, must therefore be rejected: paired with the canonical KZG key it
	// fails the pairing check.
	#[test]
	fn validate_rejects_foreign_srs_commitment() {
		use ark_vrf::ring::{Prover, RingSetup};

		type S = BandersnatchSha512Ell2;
		let domain_size = RingDomainSize::Domain11;
		let context = b"ctx";
		let message = b"msg";
		let prover_idx = 0usize;
		let _ = bandersnatch_ring_setup(domain_size);

		let secrets: Vec<_> = (0..3)
			.map(|i| BandersnatchVrfVerifiable::new_secret([i as u8; 32]))
			.collect();
		let member_keys: Vec<_> = secrets
			.iter()
			.map(BandersnatchVrfVerifiable::member_from_secret)
			.collect();

		// Positive control: the same members, built canonically, validate.
		let canonical_members = build_members(member_keys.iter().copied(), domain_size);
		let commitment = BandersnatchVrfVerifiable::open(
			domain_size,
			&member_keys[prover_idx],
			member_keys.iter().cloned(),
		)
		.unwrap();
		let (canonical_proof, _) =
			BandersnatchVrfVerifiable::create(commitment, &secrets[prover_idx], context, message)
				.unwrap();
		assert!(
			BandersnatchVrfVerifiable::validate(
				domain_size,
				&canonical_proof,
				&canonical_members,
				context,
				message,
			)
			.is_ok()
		);

		// Attacker setup: a structured reference string from a seed of their
		// choosing, so the ring commitment below is computed under a foreign SRS.
		let ring_size = domain_size.max_ring_size::<S>();
		let attacker_setup = RingSetup::<S>::from_seed(ring_size, [0xAB; 32]);
		let pks: Vec<_> = member_keys
			.iter()
			.map(|m| crate::ring::decode_member::<S>(m.as_ref()).unwrap().0)
			.collect();

		// Attacker root: same members, but the commitment is for the attacker SRS.
		let attacker_members =
			crate::ring::MembersCommitment(attacker_setup.verifier_key(&pks).unwrap().commitment());

		// It differs from the canonical root for the same members.
		assert_ne!(canonical_members.encode(), attacker_members.encode());

		// A ring proof that verifies under the attacker setup (the forgery vehicle),
		// assembled exactly as `create_multi_context` would, but with the attacker's
		// prover key. Built without blinding: it needs system randomness, unavailable
		// in the no_std deterministic configuration, and is irrelevant to the
		// property under test.
		let prover_key = attacker_setup.prover_key(&pks).unwrap();
		let ring_prover = ark_vrf::ring::RingContext::<S>::new_without_blinding(ring_size)
			.into_ring_prover(prover_key, prover_idx);
		let input_msg = [<S as RingSuiteExt>::VRF_INPUT_DOMAIN, context].concat();
		let input = ark_vrf::Input::<S>::new(&input_msg).unwrap();
		let output = secrets[prover_idx].output(input);
		let io = ark_vrf::VrfIo { input, output };
		let ring_proof = secrets[prover_idx].prove([io], message, &ring_prover);

		let mut outputs = crate::ContextVec::new();
		outputs.push(output);
		let signature = crate::ring::RingVrfSignature::<S> {
			outputs: crate::ring::RingVrfOutputs(outputs),
			proof: ring_proof,
		};
		let mut buf = Vec::new();
		signature.serialize_compressed(&mut buf).unwrap();
		let attacker_proof: <BandersnatchVrfVerifiable as GenerateVerifiable>::Proof =
			bounded_collections::BoundedVec::try_from(buf).unwrap();

		// The foreign-SRS root is rejected at the pairing check, for both the
		// single and batch verification paths.
		assert_eq!(
			BandersnatchVrfVerifiable::validate(
				domain_size,
				&attacker_proof,
				&attacker_members,
				context,
				message,
			),
			Err(crate::Error::VerificationFailed),
		);

		let batch = vec![crate::BatchProofItem {
			proof: attacker_proof,
			config: domain_size,
			members: attacker_members,
			context: context.to_vec(),
			message: message.to_vec(),
		}];
		assert_eq!(
			BandersnatchVrfVerifiable::batch_validate(&batch),
			Err(crate::Error::VerificationFailed),
		);
		assert_eq!(
			BandersnatchVrfVerifiable::batch_validate_per_item(&batch),
			vec![Err(crate::Error::VerificationFailed)],
		);
	}

	fn chunk_lookup(
		builder_params: &ark_vrf::ring::RingBuilderPcsParams<BandersnatchSha512Ell2>,
	) -> impl Fn(
		core::ops::Range<usize>,
	) -> Result<Vec<crate::ring::StaticChunk<BandersnatchSha512Ell2>>, ()>
	+ Copy
	+ '_ {
		move |range| {
			builder_params
				.lookup(range)
				.map(|v| v.into_iter().map(crate::ring::StaticChunk).collect())
				.ok_or(())
		}
	}

	fn build_members(
		member_keys: impl Iterator<Item = <BandersnatchVrfVerifiable as GenerateVerifiable>::Member>,
		domain_size: RingDomainSize,
	) -> <BandersnatchVrfVerifiable as GenerateVerifiable>::Members {
		let (_, builder_params) = start_members_from_params(domain_size);
		let get_many = chunk_lookup(&builder_params);
		let mut inter = BandersnatchVrfVerifiable::start_members(domain_size);
		BandersnatchVrfVerifiable::push_members(&mut inter, member_keys, get_many).unwrap();
		BandersnatchVrfVerifiable::finish_members(inter)
	}
}