metamorphic-log 0.1.1

//! Layer-3c: **CONIKS-style index privacy** — a per-namespace directory whose
//! lookups produce verifiable *presence* and *absence* proofs without revealing
//! which identities the directory holds.
//!
//! ## How it fits together
//!
//! Three pieces combine here:
//!
//! 1. A swappable VRF ([`crate::vrf`]) maps an identity to a private, verifiable
//!    256-bit tree **index**. Because the index is the VRF output, an observer
//!    learns nothing about the identity, and the directory cannot move an
//!    identity elsewhere without a fresh VRF proof.
//! 2. A SHA3-512 **commitment** ([`crate::commitment`]) binds that index to the
//!    identity's value (e.g. a key-history head). The commitment — the
//!    post-quantum, binding half — is what actually sits in the tree.
//! 3. A **sparse Merkle prefix tree** (depth 256, SHA3-512 nodes) accumulates
//!    every commitment into a single root. An authentication path from a leaf to
//!    the root proves *presence*; an authentication path to the (default) empty
//!    leaf at an index proves *absence*.
//!
//! Everything is **per-namespace**: the namespace label is threaded through the
//! VRF input and every tree/commitment hash, so proofs from one namespace never
//! verify against another. The VRF construction is bound in via its
//! [`suite_id`](crate::vrf::Vrf::suite_id), so a proof is tied to the exact VRF
//! it was produced under.
//!
//! ## Independent verification (#316)
//!
//! The [`verify_lookup`] and [`verify_absence`] free functions take only the
//! public inputs a relying party already has — the namespace, the VRF public
//! key, the directory root, the queried identity, and the proof — and recompute
//! everything from scratch. They do **not** need the directory. A proof also
//! serializes to canonical bytes ([`LookupProof::to_bytes`] /
//! [`AbsenceProof::to_bytes`]) and parses back, so it can be transmitted and
//! verified by any independent implementation.
//!
//! ## Hashing posture
//!
//! This prefix tree uses **SHA3-512** (post-quantum) for its nodes — it is a
//! distinct structure from the RFC 6962 append-only log ([`crate::merkle`]),
//! which stays on ecosystem SHA-256 for witness compatibility. A CONIKS root is
//! opaque bytes to Layer 1, so it can be embedded as a Layer-0 leaf and
//! witnessed without either layer's hashing affecting the other.

use std::collections::BTreeMap;

use metamorphic_crypto::hash::sha3_512_with_context;

use crate::commitment::{COMMITMENT_LEN, COMMITMENT_OPENING_LEN, Commitment, Opening};
use crate::error::{Error, Result};
use crate::vrf::{Vrf, VrfProof, VrfPublicKey, VrfSecretKey};

/// Tree depth: a 256-bit index gives one leaf position per possible VRF output
/// prefix.
const TREE_DEPTH: usize = 256;
/// Length of a tree node / leaf hash, in bytes (SHA3-512).
const NODE_LEN: usize = 64;
/// Length of the VRF-derived index, in bytes.
const INDEX_LEN: usize = 32;

/// A validated CONIKS namespace — the per-tenant domain separator.
///
/// A namespace is a single non-empty segment of printable ASCII excluding `/`
/// (so it slots cleanly into the `<namespace>/<record-type>/v<N>` context-label
/// grammar shared with [`crate::leaf::ContextLabel`]). Distinct namespaces get
/// independent VRF inputs and tree/commitment hashes, so their directories and
/// proofs are fully isolated.
#[derive(Debug, Clone, PartialEq, Eq, Hash)]
pub struct Namespace(String);

impl Namespace {
    /// Parse and validate a namespace segment.
    ///
    /// # Errors
    /// Returns [`Error::MalformedNamespace`] if it is empty or contains a byte
    /// outside printable ASCII, or a `/`.
    pub fn parse(namespace: &str) -> Result<Self> {
        if namespace.is_empty() || !namespace.bytes().all(|b| b.is_ascii_graphic() && b != b'/') {
            return Err(Error::MalformedNamespace(format!(
                "namespace must be non-empty printable ASCII without '/': {namespace:?}"
            )));
        }
        Ok(Self(namespace.to_string()))
    }

    /// The namespace string.
    #[must_use]
    pub fn as_str(&self) -> &str {
        &self.0
    }

    /// The per-namespace commitment context label, `<ns>/coniks-commitment/v1`.
    #[must_use]
    pub fn commitment_label(&self) -> String {
        format!("{}/coniks-commitment/v1", self.0)
    }

    fn leaf_label(&self) -> String {
        format!("{}/coniks-leaf/v1", self.0)
    }

    fn node_label(&self) -> String {
        format!("{}/coniks-node/v1", self.0)
    }

    fn empty_label(&self) -> String {
        format!("{}/coniks-empty/v1", self.0)
    }

    /// Build the VRF input (`alpha`) for an identity, namespace-scoped so the
    /// derived index differs across namespaces: `u32_be(len(ns)) || ns ||
    /// identity`.
    #[must_use]
    pub fn vrf_input(&self, identity: &[u8]) -> Vec<u8> {
        let mut input = Vec::with_capacity(4 + self.0.len() + identity.len());
        input.extend_from_slice(&(self.0.len() as u32).to_be_bytes());
        input.extend_from_slice(self.0.as_bytes());
        input.extend_from_slice(identity);
        input
    }
}

/// Return bit `i` of a 256-bit index, most-significant-bit-first (bit 0 is the
/// MSB of byte 0 and selects the first branch from the root).
fn index_bit(index: &[u8; INDEX_LEN], i: usize) -> u8 {
    (index[i / 8] >> (7 - (i % 8))) & 1
}

/// Shared hashing for a namespace's prefix tree: node/leaf hashing plus the
/// precomputed empty-subtree defaults. Built identically by the directory
/// (to construct proofs) and by the verifier (to check them), so there is a
/// single source of the byte discipline.
struct TreeHasher {
    leaf_label: String,
    node_label: String,
    suite_id: u8,
    /// `empty[d]` is the hash of a wholly empty subtree rooted at depth `d`;
    /// `empty[TREE_DEPTH]` is the empty-leaf hash.
    empty: Vec<[u8; NODE_LEN]>,
}

impl TreeHasher {
    fn new(namespace: &Namespace, suite_id: u8) -> Self {
        let empty_leaf: [u8; NODE_LEN] = sha3_512_with_context(&namespace.empty_label(), &[]);
        let node_label = namespace.node_label();

        // empty[TREE_DEPTH] = empty leaf; empty[d] = node(empty[d+1], empty[d+1]).
        let mut empty = vec![[0u8; NODE_LEN]; TREE_DEPTH + 1];
        empty[TREE_DEPTH] = empty_leaf;
        for d in (0..TREE_DEPTH).rev() {
            empty[d] = node_hash(&node_label, &empty[d + 1], &empty[d + 1]);
        }

        Self {
            leaf_label: namespace.leaf_label(),
            node_label,
            suite_id,
            empty,
        }
    }

    /// Leaf hash, binding the VRF suite, the index, and the commitment:
    /// `SHA3-512_with_context(leaf_label, suite_id(1) || index(32) ||
    /// commitment(64))`.
    fn leaf_hash(&self, index: &[u8; INDEX_LEN], commitment: &Commitment) -> [u8; NODE_LEN] {
        let mut buf = [0u8; 1 + INDEX_LEN + COMMITMENT_LEN];
        buf[0] = self.suite_id;
        buf[1..1 + INDEX_LEN].copy_from_slice(index);
        buf[1 + INDEX_LEN..].copy_from_slice(commitment.as_bytes());
        sha3_512_with_context(&self.leaf_label, &buf)
    }

    fn empty_leaf(&self) -> [u8; NODE_LEN] {
        self.empty[TREE_DEPTH]
    }

    /// Hash of the subtree at `depth` containing exactly `leaves` (each a
    /// `(index, commitment)`), using empty-subtree shortcuts.
    fn subtree(&self, depth: usize, leaves: &[(&[u8; INDEX_LEN], &Commitment)]) -> [u8; NODE_LEN] {
        if leaves.is_empty() {
            return self.empty[depth];
        }
        if depth == TREE_DEPTH {
            // Indices are unique, so a leaf depth holds exactly one entry.
            let (index, commitment) = leaves[0];
            return self.leaf_hash(index, commitment);
        }
        let (left, right): (Vec<_>, Vec<_>) = leaves
            .iter()
            .partition(|(index, _)| index_bit(index, depth) == 0);
        let l = self.subtree(depth + 1, &left);
        let r = self.subtree(depth + 1, &right);
        node_hash(&self.node_label, &l, &r)
    }

    /// Collect the authentication-path siblings for `target` from depth 0 to
    /// `TREE_DEPTH - 1`. A sibling equal to the empty default is recorded as
    /// `None` (the verifier recomputes it), keeping proofs compact.
    fn collect_path(
        &self,
        depth: usize,
        target: &[u8; INDEX_LEN],
        leaves: &[(&[u8; INDEX_LEN], &Commitment)],
        out: &mut Vec<Option<[u8; NODE_LEN]>>,
    ) {
        if depth == TREE_DEPTH {
            return;
        }
        let (left, right): (Vec<_>, Vec<_>) = leaves
            .iter()
            .copied()
            .partition(|(index, _)| index_bit(index, depth) == 0);
        let (on_path, sibling) = if index_bit(target, depth) == 0 {
            (left, right)
        } else {
            (right, left)
        };
        let sibling_hash = self.subtree(depth + 1, &sibling);
        out.push(if sibling_hash == self.empty[depth + 1] {
            None
        } else {
            Some(sibling_hash)
        });
        self.collect_path(depth + 1, target, &on_path, out);
    }

    /// Recompute the directory root from a leaf node and its authentication
    /// path, folding empty defaults in for absent siblings.
    fn recompute_root(
        &self,
        target: &[u8; INDEX_LEN],
        leaf_node: [u8; NODE_LEN],
        siblings: &[Option<[u8; NODE_LEN]>],
    ) -> [u8; NODE_LEN] {
        let mut current = leaf_node;
        for depth in (0..TREE_DEPTH).rev() {
            let sibling = siblings[depth].unwrap_or(self.empty[depth + 1]);
            current = if index_bit(target, depth) == 0 {
                node_hash(&self.node_label, &current, &sibling)
            } else {
                node_hash(&self.node_label, &sibling, &current)
            };
        }
        current
    }
}

/// Interior node hash: `SHA3-512_with_context(node_label, left(64) ||
/// right(64))`.
fn node_hash(node_label: &str, left: &[u8; NODE_LEN], right: &[u8; NODE_LEN]) -> [u8; NODE_LEN] {
    let mut buf = [0u8; 2 * NODE_LEN];
    buf[..NODE_LEN].copy_from_slice(left);
    buf[NODE_LEN..].copy_from_slice(right);
    sha3_512_with_context(node_label, &buf)
}

/// An authentication path: one optional sibling per tree level (0 = nearest the
/// leaf). `None` denotes an empty-default sibling the verifier recomputes.
#[derive(Debug, Clone, PartialEq, Eq)]
pub struct AuthPath {
    siblings: Vec<Option<[u8; NODE_LEN]>>,
}

impl AuthPath {
    /// Canonical serialization: a 32-byte big-endian-bit bitmap (bit `d` set iff
    /// level `d` has a non-empty sibling), followed by the present sibling
    /// hashes in level order.
    fn to_bytes(&self) -> Vec<u8> {
        let mut bitmap = [0u8; TREE_DEPTH / 8];
        let mut hashes = Vec::new();
        for (d, sibling) in self.siblings.iter().enumerate() {
            if let Some(h) = sibling {
                bitmap[d / 8] |= 1 << (7 - (d % 8));
                hashes.extend_from_slice(h);
            }
        }
        let mut out = Vec::with_capacity(bitmap.len() + hashes.len());
        out.extend_from_slice(&bitmap);
        out.extend_from_slice(&hashes);
        out
    }

    /// Parse a canonical authentication path, returning it and the number of
    /// input bytes consumed.
    fn parse(bytes: &[u8]) -> Result<(Self, usize)> {
        let bitmap_len = TREE_DEPTH / 8;
        if bytes.len() < bitmap_len {
            return Err(Error::MalformedConiksProof(
                "authentication path shorter than its bitmap".into(),
            ));
        }
        let bitmap = &bytes[..bitmap_len];
        let present: usize = bitmap.iter().map(|b| b.count_ones() as usize).sum();
        let needed = bitmap_len + present * NODE_LEN;
        if bytes.len() < needed {
            return Err(Error::MalformedConiksProof(format!(
                "authentication path: bitmap implies {present} sibling hashes ({needed} bytes), \
                 only {} available",
                bytes.len()
            )));
        }

        let mut siblings = Vec::with_capacity(TREE_DEPTH);
        let mut offset = bitmap_len;
        for d in 0..TREE_DEPTH {
            let set = (bitmap[d / 8] >> (7 - (d % 8))) & 1 == 1;
            if set {
                let mut h = [0u8; NODE_LEN];
                h.copy_from_slice(&bytes[offset..offset + NODE_LEN]);
                offset += NODE_LEN;
                siblings.push(Some(h));
            } else {
                siblings.push(None);
            }
        }
        Ok((Self { siblings }, needed))
    }
}

/// Append `u32_be(len(bytes)) || bytes` to `out`.
fn push_lp(out: &mut Vec<u8>, bytes: &[u8]) {
    out.extend_from_slice(&(bytes.len() as u32).to_be_bytes());
    out.extend_from_slice(bytes);
}

/// Read a `u32_be`-length-prefixed field at `offset`, returning the field bytes
/// and the new offset.
fn read_lp<'a>(bytes: &'a [u8], offset: usize, what: &str) -> Result<(&'a [u8], usize)> {
    if bytes.len() < offset + 4 {
        return Err(Error::MalformedConiksProof(format!(
            "{what}: missing 4-byte length prefix"
        )));
    }
    let len = u32::from_be_bytes(bytes[offset..offset + 4].try_into().unwrap()) as usize;
    let start = offset + 4;
    if bytes.len() < start + len {
        return Err(Error::MalformedConiksProof(format!(
            "{what}: length prefix {len} overruns available bytes"
        )));
    }
    Ok((&bytes[start..start + len], start + len))
}

const TAG_ABSENCE: u8 = 0x00;
const TAG_PRESENCE: u8 = 0x01;

/// A **presence** proof: the queried identity is in the directory, mapped (via
/// the VRF) to a tree index whose committed value is revealed and whose
/// authentication path recomputes the directory root.
#[derive(Debug, Clone, PartialEq, Eq)]
pub struct LookupProof {
    vrf_proof: VrfProof,
    value: Vec<u8>,
    opening: Opening,
    auth_path: AuthPath,
}

impl LookupProof {
    /// The revealed value bound at the identity's index. Only trustworthy once
    /// the proof has been checked with [`verify_lookup`].
    #[must_use]
    pub fn value(&self) -> &[u8] {
        &self.value
    }

    /// Canonical serialization:
    /// `0x01 || lp(vrf_proof) || lp(value) || opening(32) || auth_path`.
    #[must_use]
    pub fn to_bytes(&self) -> Vec<u8> {
        let mut out = vec![TAG_PRESENCE];
        push_lp(&mut out, self.vrf_proof.as_bytes());
        push_lp(&mut out, &self.value);
        out.extend_from_slice(self.opening.as_bytes());
        out.extend_from_slice(&self.auth_path.to_bytes());
        out
    }

    /// Parse a canonical presence proof.
    ///
    /// # Errors
    /// Returns [`Error::MalformedConiksProof`] if the tag, length prefixes, or
    /// trailing authentication path are inconsistent.
    pub fn from_bytes(bytes: &[u8]) -> Result<Self> {
        let Some((&tag, rest)) = bytes.split_first() else {
            return Err(Error::MalformedConiksProof("empty proof".into()));
        };
        if tag != TAG_PRESENCE {
            return Err(Error::MalformedConiksProof(format!(
                "expected presence tag 0x01, got {tag:#04x}"
            )));
        }
        let (vrf_proof, off) = read_lp(rest, 0, "vrf proof")?;
        let (value, off) = read_lp(rest, off, "value")?;
        if rest.len() < off + COMMITMENT_OPENING_LEN {
            return Err(Error::MalformedConiksProof("missing opening".into()));
        }
        let mut opening = [0u8; COMMITMENT_OPENING_LEN];
        opening.copy_from_slice(&rest[off..off + COMMITMENT_OPENING_LEN]);
        let (auth_path, consumed) = AuthPath::parse(&rest[off + COMMITMENT_OPENING_LEN..])?;
        if off + COMMITMENT_OPENING_LEN + consumed != rest.len() {
            return Err(Error::MalformedConiksProof(
                "trailing bytes after authentication path".into(),
            ));
        }
        Ok(Self {
            vrf_proof: VrfProof::from_bytes(vrf_proof.to_vec()),
            value: value.to_vec(),
            opening: Opening::from_bytes(opening),
            auth_path,
        })
    }
}

/// An **absence** proof: the queried identity is *not* in the directory; its
/// VRF-derived index holds the empty leaf, and the authentication path to that
/// empty leaf recomputes the directory root.
#[derive(Debug, Clone, PartialEq, Eq)]
pub struct AbsenceProof {
    vrf_proof: VrfProof,
    auth_path: AuthPath,
}

impl AbsenceProof {
    /// Canonical serialization: `0x00 || lp(vrf_proof) || auth_path`.
    #[must_use]
    pub fn to_bytes(&self) -> Vec<u8> {
        let mut out = vec![TAG_ABSENCE];
        push_lp(&mut out, self.vrf_proof.as_bytes());
        out.extend_from_slice(&self.auth_path.to_bytes());
        out
    }

    /// Parse a canonical absence proof.
    ///
    /// # Errors
    /// Returns [`Error::MalformedConiksProof`] if the tag, length prefix, or
    /// trailing authentication path are inconsistent.
    pub fn from_bytes(bytes: &[u8]) -> Result<Self> {
        let Some((&tag, rest)) = bytes.split_first() else {
            return Err(Error::MalformedConiksProof("empty proof".into()));
        };
        if tag != TAG_ABSENCE {
            return Err(Error::MalformedConiksProof(format!(
                "expected absence tag 0x00, got {tag:#04x}"
            )));
        }
        let (vrf_proof, off) = read_lp(rest, 0, "vrf proof")?;
        let (auth_path, consumed) = AuthPath::parse(&rest[off..])?;
        if off + consumed != rest.len() {
            return Err(Error::MalformedConiksProof(
                "trailing bytes after authentication path".into(),
            ));
        }
        Ok(Self {
            vrf_proof: VrfProof::from_bytes(vrf_proof.to_vec()),
            auth_path,
        })
    }
}

/// The outcome of a directory lookup: either a presence or an absence proof.
#[derive(Debug, Clone, PartialEq, Eq)]
pub enum LookupResult {
    /// The identity is present; carries a [`LookupProof`].
    Present(LookupProof),
    /// The identity is absent; carries an [`AbsenceProof`].
    Absent(AbsenceProof),
}

struct DirectoryEntry {
    value: Vec<u8>,
    opening: Opening,
}

/// A per-namespace CONIKS directory: maps identities to committed values at
/// VRF-derived indices and produces presence/absence proofs against its root.
///
/// This is the prover/operator side. Relying parties verify with the free
/// [`verify_lookup`] / [`verify_absence`] functions and never need this type.
pub struct ConiksDirectory {
    namespace: Namespace,
    vrf: Box<dyn Vrf>,
    vrf_secret: VrfSecretKey,
    vrf_public: VrfPublicKey,
    hasher: TreeHasher,
    entries: BTreeMap<Vec<u8>, DirectoryEntry>,
    leaves: BTreeMap<[u8; INDEX_LEN], Commitment>,
}

impl ConiksDirectory {
    /// Create an empty directory for `namespace` using `vrf`, generating a fresh
    /// VRF keypair from the OS CSPRNG.
    #[must_use]
    pub fn new(namespace: Namespace, vrf: Box<dyn Vrf>) -> Self {
        let (vrf_secret, vrf_public) = vrf.generate_keypair();
        Self::with_secret_key(namespace, vrf, vrf_secret, vrf_public)
    }

    /// Create an empty directory from an existing VRF secret key (e.g. a
    /// persisted per-namespace key).
    ///
    /// # Errors
    /// Returns [`Error::Vrf`] if the public key cannot be derived from the
    /// secret key.
    pub fn from_secret_key(
        namespace: Namespace,
        vrf: Box<dyn Vrf>,
        vrf_secret: VrfSecretKey,
    ) -> Result<Self> {
        let vrf_public = vrf.derive_public_key(&vrf_secret)?;
        Ok(Self::with_secret_key(
            namespace, vrf, vrf_secret, vrf_public,
        ))
    }

    fn with_secret_key(
        namespace: Namespace,
        vrf: Box<dyn Vrf>,
        vrf_secret: VrfSecretKey,
        vrf_public: VrfPublicKey,
    ) -> Self {
        let hasher = TreeHasher::new(&namespace, vrf.suite_id());
        Self {
            namespace,
            vrf,
            vrf_secret,
            vrf_public,
            hasher,
            entries: BTreeMap::new(),
            leaves: BTreeMap::new(),
        }
    }

    /// The namespace this directory serves.
    #[must_use]
    pub fn namespace(&self) -> &Namespace {
        &self.namespace
    }

    /// The VRF public key relying parties use to verify proofs.
    #[must_use]
    pub fn vrf_public_key(&self) -> &VrfPublicKey {
        &self.vrf_public
    }

    /// Insert (or replace) `identity`'s `value`, committing to it under a fresh
    /// random opening and placing the commitment at the identity's VRF-derived
    /// index.
    ///
    /// # Errors
    /// Returns [`Error::Vrf`] if proving the identity's index fails.
    pub fn insert(&mut self, identity: &[u8], value: &[u8]) -> Result<()> {
        let alpha = self.namespace.vrf_input(identity);
        let proof = self.vrf.prove(&self.vrf_secret, &alpha)?;
        let index = self.vrf.proof_to_output(&proof)?.index();

        let (commitment, opening) =
            crate::commitment::commit(&self.namespace.commitment_label(), value);

        self.leaves.insert(index, commitment);
        self.entries.insert(
            identity.to_vec(),
            DirectoryEntry {
                value: value.to_vec(),
                opening,
            },
        );
        Ok(())
    }

    /// The current directory root (the SHA3-512 prefix-tree root over all
    /// commitments).
    #[must_use]
    pub fn root(&self) -> [u8; NODE_LEN] {
        let leaves: Vec<_> = self.leaves.iter().collect();
        self.hasher.subtree(0, &leaves)
    }

    /// Look up `identity`, returning a presence or absence proof against the
    /// current root.
    ///
    /// # Errors
    /// Returns [`Error::Vrf`] if proving the identity's index fails.
    pub fn lookup(&self, identity: &[u8]) -> Result<LookupResult> {
        let alpha = self.namespace.vrf_input(identity);
        let vrf_proof = self.vrf.prove(&self.vrf_secret, &alpha)?;
        let index = self.vrf.proof_to_output(&vrf_proof)?.index();

        let all: Vec<_> = self.leaves.iter().collect();
        let mut siblings = Vec::with_capacity(TREE_DEPTH);
        self.hasher.collect_path(0, &index, &all, &mut siblings);
        let auth_path = AuthPath { siblings };

        match self.entries.get(identity) {
            Some(entry) => Ok(LookupResult::Present(LookupProof {
                vrf_proof,
                value: entry.value.clone(),
                opening: entry.opening.clone(),
                auth_path,
            })),
            None => Ok(LookupResult::Absent(AbsenceProof {
                vrf_proof,
                auth_path,
            })),
        }
    }
}

/// Recover and validate the VRF-derived index for `identity` under a proof.
fn verified_index(
    vrf: &dyn Vrf,
    namespace: &Namespace,
    vrf_public: &VrfPublicKey,
    identity: &[u8],
    vrf_proof: &VrfProof,
) -> Result<[u8; INDEX_LEN]> {
    let alpha = namespace.vrf_input(identity);
    match vrf.verify(vrf_public, &alpha, vrf_proof)? {
        Some(output) => Ok(output.index()),
        None => Err(Error::VrfProofInvalid),
    }
}

/// Independently verify a **presence** proof, returning the proven value.
///
/// Recomputes everything from public inputs: the VRF proof binds `identity` to a
/// private index, the revealed `(value, opening)` reproduce the leaf commitment,
/// and the authentication path must recompute `root`.
///
/// # Errors
/// - [`Error::VrfProofInvalid`] if the VRF proof does not verify.
/// - [`Error::ConiksRootMismatch`] if the authentication path does not
///   recompute `root` (a wrong value, opening, or tampered path all surface
///   here).
/// - [`Error::Vrf`] for a structurally invalid VRF proof.
pub fn verify_lookup(
    vrf: &dyn Vrf,
    namespace: &Namespace,
    vrf_public: &VrfPublicKey,
    root: &[u8; NODE_LEN],
    identity: &[u8],
    proof: &LookupProof,
) -> Result<Vec<u8>> {
    let index = verified_index(vrf, namespace, vrf_public, identity, &proof.vrf_proof)?;

    let commitment = crate::commitment::commit_with_opening(
        &namespace.commitment_label(),
        &proof.value,
        &proof.opening,
    );
    let hasher = TreeHasher::new(namespace, vrf.suite_id());
    let leaf = hasher.leaf_hash(&index, &commitment);
    let recomputed = hasher.recompute_root(&index, leaf, &proof.auth_path.siblings);

    if &recomputed == root {
        Ok(proof.value.clone())
    } else {
        Err(Error::ConiksRootMismatch)
    }
}

/// Independently verify an **absence** proof.
///
/// Recomputes the VRF-derived index for `identity` and checks that the
/// authentication path to the *empty* leaf at that index recomputes `root` —
/// proving no value is committed there.
///
/// # Errors
/// - [`Error::VrfProofInvalid`] if the VRF proof does not verify.
/// - [`Error::ConiksRootMismatch`] if the authentication path does not
///   recompute `root`.
/// - [`Error::Vrf`] for a structurally invalid VRF proof.
pub fn verify_absence(
    vrf: &dyn Vrf,
    namespace: &Namespace,
    vrf_public: &VrfPublicKey,
    root: &[u8; NODE_LEN],
    identity: &[u8],
    proof: &AbsenceProof,
) -> Result<()> {
    let index = verified_index(vrf, namespace, vrf_public, identity, &proof.vrf_proof)?;

    let hasher = TreeHasher::new(namespace, vrf.suite_id());
    let recomputed = hasher.recompute_root(&index, hasher.empty_leaf(), &proof.auth_path.siblings);

    if &recomputed == root {
        Ok(())
    } else {
        Err(Error::ConiksRootMismatch)
    }
}

#[cfg(all(test, not(target_arch = "wasm32")))]
mod tests {
    use super::*;
    use crate::vrf::Ecvrf;

    fn dir() -> ConiksDirectory {
        ConiksDirectory::new(Namespace::parse("acme").unwrap(), Box::new(Ecvrf))
    }

    #[test]
    fn namespace_validation() {
        assert!(Namespace::parse("acme").is_ok());
        assert!(Namespace::parse("mosslet").is_ok());
        assert!(Namespace::parse("").is_err());
        assert!(Namespace::parse("has/slash").is_err());
        assert!(Namespace::parse("has space").is_err());
    }

    #[test]
    fn present_lookup_verifies() {
        let mut d = dir();
        d.insert(b"alice", b"alice-value").unwrap();
        d.insert(b"bob", b"bob-value").unwrap();
        let root = d.root();

        let LookupResult::Present(proof) = d.lookup(b"alice").unwrap() else {
            panic!("alice should be present");
        };
        let value = verify_lookup(
            &Ecvrf,
            d.namespace(),
            d.vrf_public_key(),
            &root,
            b"alice",
            &proof,
        )
        .unwrap();
        assert_eq!(value, b"alice-value");
    }

    #[test]
    fn absent_lookup_verifies() {
        let mut d = dir();
        d.insert(b"alice", b"v").unwrap();
        let root = d.root();

        let LookupResult::Absent(proof) = d.lookup(b"carol").unwrap() else {
            panic!("carol should be absent");
        };
        verify_absence(
            &Ecvrf,
            d.namespace(),
            d.vrf_public_key(),
            &root,
            b"carol",
            &proof,
        )
        .unwrap();
    }

    #[test]
    fn empty_directory_absence_verifies() {
        let d = dir();
        let root = d.root();
        let LookupResult::Absent(proof) = d.lookup(b"nobody").unwrap() else {
            panic!("absent");
        };
        verify_absence(
            &Ecvrf,
            d.namespace(),
            d.vrf_public_key(),
            &root,
            b"nobody",
            &proof,
        )
        .unwrap();
    }

    #[test]
    fn tampered_value_is_rejected() {
        let mut d = dir();
        d.insert(b"alice", b"real").unwrap();
        let root = d.root();
        let LookupResult::Present(mut proof) = d.lookup(b"alice").unwrap() else {
            panic!("present");
        };
        proof.value = b"forged".to_vec();
        assert_eq!(
            verify_lookup(
                &Ecvrf,
                d.namespace(),
                d.vrf_public_key(),
                &root,
                b"alice",
                &proof
            ),
            Err(Error::ConiksRootMismatch)
        );
    }

    #[test]
    fn absence_proof_for_present_identity_is_rejected() {
        // A directory cannot prove absence of an identity it actually holds: the
        // empty-leaf root recomputation will not match the real root.
        let mut d = dir();
        d.insert(b"alice", b"v").unwrap();
        let root = d.root();
        let LookupResult::Present(present) = d.lookup(b"alice").unwrap() else {
            panic!("present");
        };
        // Forge an absence proof reusing the (valid) VRF proof + path.
        let forged = AbsenceProof {
            vrf_proof: VrfProof::from_bytes(present.to_bytes()[5..5].to_vec()),
            auth_path: present.auth_path.clone(),
        };
        // Structurally the forged vrf proof is empty -> Vrf error, but even a
        // valid VRF proof would fail the root check; assert it does not pass.
        assert!(
            verify_absence(
                &Ecvrf,
                d.namespace(),
                d.vrf_public_key(),
                &root,
                b"alice",
                &forged
            )
            .is_err()
        );
    }

    #[test]
    fn cross_namespace_proof_is_rejected() {
        let mut d = dir();
        d.insert(b"alice", b"v").unwrap();
        let root = d.root();
        let LookupResult::Present(proof) = d.lookup(b"alice").unwrap() else {
            panic!("present");
        };
        // Verifying under a different namespace must fail: the VRF input is
        // namespace-scoped, so the proof does not verify.
        let other = Namespace::parse("evil").unwrap();
        assert!(
            verify_lookup(&Ecvrf, &other, d.vrf_public_key(), &root, b"alice", &proof).is_err()
        );
    }

    #[test]
    fn wrong_root_is_rejected() {
        let mut d = dir();
        d.insert(b"alice", b"v").unwrap();
        let LookupResult::Present(proof) = d.lookup(b"alice").unwrap() else {
            panic!("present");
        };
        let bad_root = [0u8; NODE_LEN];
        assert_eq!(
            verify_lookup(
                &Ecvrf,
                d.namespace(),
                d.vrf_public_key(),
                &bad_root,
                b"alice",
                &proof
            ),
            Err(Error::ConiksRootMismatch)
        );
    }

    #[test]
    fn proofs_round_trip_through_bytes() {
        let mut d = dir();
        d.insert(b"alice", b"alice-value").unwrap();
        let root = d.root();

        let LookupResult::Present(present) = d.lookup(b"alice").unwrap() else {
            panic!("present");
        };
        let reparsed = LookupProof::from_bytes(&present.to_bytes()).unwrap();
        assert_eq!(reparsed, present);
        assert_eq!(
            verify_lookup(
                &Ecvrf,
                d.namespace(),
                d.vrf_public_key(),
                &root,
                b"alice",
                &reparsed
            )
            .unwrap(),
            b"alice-value"
        );

        let LookupResult::Absent(absent) = d.lookup(b"carol").unwrap() else {
            panic!("absent");
        };
        let reparsed_absent = AbsenceProof::from_bytes(&absent.to_bytes()).unwrap();
        assert_eq!(reparsed_absent, absent);
        verify_absence(
            &Ecvrf,
            d.namespace(),
            d.vrf_public_key(),
            &root,
            b"carol",
            &reparsed_absent,
        )
        .unwrap();
    }

    #[test]
    fn malformed_proof_bytes_are_rejected() {
        assert!(LookupProof::from_bytes(&[]).is_err());
        assert!(LookupProof::from_bytes(&[TAG_ABSENCE]).is_err()); // wrong tag
        assert!(AbsenceProof::from_bytes(&[TAG_PRESENCE]).is_err()); // wrong tag
        assert!(AbsenceProof::from_bytes(&[TAG_ABSENCE, 0, 0]).is_err()); // truncated lp
    }

    #[test]
    fn index_is_namespace_scoped() {
        // The same identity gets different indices under different namespaces.
        let ns_a = Namespace::parse("a").unwrap();
        let ns_b = Namespace::parse("b").unwrap();
        assert_ne!(ns_a.vrf_input(b"alice"), ns_b.vrf_input(b"alice"));
    }

    use proptest::prelude::*;

    proptest! {
        // Each lookup over a sparse depth-256 tree is intentionally O(leaves *
        // depth) (singleton branches descend to the full index length), so cap
        // the case count to keep CI fast while still exercising many random
        // directory shapes.
        #![proptest_config(ProptestConfig::with_cases(24))]

        #[test]
        fn random_directory_presence_and_absence(
            present_ids in proptest::collection::vec(any::<u64>(), 1..9),
            absent_id: u64,
        ) {
            prop_assume!(!present_ids.contains(&absent_id));
            let mut d = dir();
            for id in &present_ids {
                d.insert(&id.to_be_bytes(), format!("v{id}").as_bytes()).unwrap();
            }
            let root = d.root();

            // Every inserted identity verifies as present with its value.
            for id in &present_ids {
                let key = id.to_be_bytes();
                let LookupResult::Present(proof) = d.lookup(&key).unwrap() else {
                    prop_assert!(false, "expected present");
                    unreachable!();
                };
                let value = verify_lookup(
                    &Ecvrf, d.namespace(), d.vrf_public_key(), &root, &key, &proof,
                ).unwrap();
                prop_assert_eq!(value, format!("v{id}").into_bytes());
            }

            // A non-inserted identity verifies as absent.
            let key = absent_id.to_be_bytes();
            let LookupResult::Absent(proof) = d.lookup(&key).unwrap() else {
                prop_assert!(false, "expected absent");
                unreachable!();
            };
            verify_absence(
                &Ecvrf, d.namespace(), d.vrf_public_key(), &root, &key, &proof,
            ).unwrap();
        }
    }
}