Files
clawhdf5/crates/clawhdf5-format/src/btree_v2.rs
T
osobhandClaude Opus 5.5 d63c76e7ab writer: v2 B-trees with internal nodes (no 65 535-record limit)
Dense link and attribute indexes and the chunk index for several
unlimited dimensions were single leaves, capping them at 65 535
records. btree_v2_write builds trees of any depth, with node capacities
and pointer widths from libhdf5's H5B2__hdr_init arithmetic (now shared
with the reader as btree_v2::node_info) and libhdf5's node sizes (512
dense, 2048 chunks). Indexes that fit the old one-leaf layout are
written byte for byte as before (compared for 10..65 535 links, attrs
and chunks, tracked and filtered).

Tests: 100 000 links (short names; long names with creation order),
70 000 attributes, 200 000 chunks (and 80 000 deflated), read by h5py,
h5dump and clawhdf5 and edited by h5py r+; h5rs check on the same
shapes, asserting depths 2-3.

Co-Authored-By: Claude Opus 5.5 (1M context) <[email protected]>
2026-09-26 10:12:07 -05:00

756 lines
26 KiB
Rust

//! HDF5 B-tree v2 parsing.
#[cfg(not(feature = "std"))]
use alloc::vec::Vec;
#[cfg(feature = "checksum")]
use byteorder::{ByteOrder, LittleEndian};
use crate::error::FormatError;
/// Parsed B-tree v2 header (signature "BTHD").
#[derive(Debug, Clone)]
pub struct BTreeV2Header {
/// B-tree type: 5=links indexed by name, 6=links indexed by creation order, etc.
pub tree_type: u8,
/// Node size in bytes.
pub node_size: u32,
/// Record size in bytes.
pub record_size: u16,
/// Depth of the tree (0 = root is a leaf).
pub depth: u16,
/// Address of root node.
pub root_node_address: u64,
/// Number of records in the root node.
pub num_records_in_root: u16,
/// Total number of records in all nodes.
pub total_records: u64,
}
/// A single record from a B-tree v2 node.
#[derive(Debug, Clone)]
pub struct BTreeV2Record {
/// Raw record bytes (record_size bytes).
pub data: Vec<u8>,
}
fn read_offset(data: &[u8], pos: usize, size: u8) -> Result<u64, FormatError> {
let s = size as usize;
if pos.checked_add(s).is_none_or(|end| end > data.len()) {
return Err(FormatError::UnexpectedEof {
expected: pos.saturating_add(s),
available: data.len(),
});
}
Ok(match size {
2 => u16::from_le_bytes([data[pos], data[pos + 1]]) as u64,
4 => u32::from_le_bytes([data[pos], data[pos + 1], data[pos + 2], data[pos + 3]]) as u64,
8 => u64::from_le_bytes([
data[pos],
data[pos + 1],
data[pos + 2],
data[pos + 3],
data[pos + 4],
data[pos + 5],
data[pos + 6],
data[pos + 7],
]),
_ => return Err(FormatError::InvalidOffsetSize(size)),
})
}
fn ensure_len(data: &[u8], pos: usize, needed: usize) -> Result<(), FormatError> {
match pos.checked_add(needed) {
Some(end) if end <= data.len() => Ok(()),
_ => Err(FormatError::UnexpectedEof {
expected: pos.saturating_add(needed),
available: data.len(),
}),
}
}
/// Compute the number of bytes needed to represent a count, using variable-width encoding.
/// B-tree v2 uses this for the number of records fields in internal nodes.
pub(crate) fn bytes_for_max_records(max_nrec: u64) -> usize {
if max_nrec == 0 {
return 1;
}
let bits = 64 - max_nrec.leading_zeros() as usize;
bits.div_ceil(8)
}
/// Read a variable-width unsigned integer (1-8 bytes, LE).
fn read_var_uint(data: &[u8], pos: usize, width: usize) -> Result<u64, FormatError> {
ensure_len(data, pos, width)?;
let mut val = 0u64;
for i in 0..width {
val |= (data[pos + i] as u64) << (i * 8);
}
Ok(val)
}
impl BTreeV2Header {
/// Parse a B-tree v2 header at the given offset.
pub fn parse(
file_data: &[u8],
offset: usize,
offset_size: u8,
length_size: u8,
) -> Result<BTreeV2Header, FormatError> {
ensure_len(file_data, offset, 4)?;
if &file_data[offset..offset + 4] != b"BTHD" {
return Err(FormatError::InvalidBTreeV2Signature);
}
ensure_len(file_data, offset, 4 + 1 + 1 + 4 + 2 + 2 + 1 + 1)?;
let version = file_data[offset + 4];
if version != 0 {
return Err(FormatError::InvalidBTreeV2Version(version));
}
let tree_type = file_data[offset + 5];
let node_size = u32::from_le_bytes([
file_data[offset + 6],
file_data[offset + 7],
file_data[offset + 8],
file_data[offset + 9],
]);
let record_size = u16::from_le_bytes([file_data[offset + 10], file_data[offset + 11]]);
let depth = u16::from_le_bytes([file_data[offset + 12], file_data[offset + 13]]);
let _split_percent = file_data[offset + 14];
let _merge_percent = file_data[offset + 15];
let mut pos = offset + 16;
let root_node_address = read_offset(file_data, pos, offset_size)?;
pos += offset_size as usize;
ensure_len(file_data, pos, 2)?;
let num_records_in_root = u16::from_le_bytes([file_data[pos], file_data[pos + 1]]);
pos += 2;
let total_records = read_offset(file_data, pos, length_size)?;
#[allow(unused_assignments)]
{
pos += length_size as usize;
}
// Validate header checksum
#[cfg(feature = "checksum")]
{
ensure_len(file_data, pos, 4)?;
let stored = LittleEndian::read_u32(&file_data[pos..pos + 4]);
let computed = crate::checksum::jenkins_lookup3(&file_data[offset..pos]);
if computed != stored {
return Err(FormatError::ChecksumMismatch {
expected: stored,
computed,
});
}
}
Ok(BTreeV2Header {
tree_type,
node_size,
record_size,
depth,
root_node_address,
num_records_in_root,
total_records,
})
}
}
/// Compute maximum records per node for a given depth level.
/// leaf: (node_size - overhead) / record_size
/// internal: depends on pointers
pub(crate) fn max_records_leaf(node_size: u32, record_size: u16) -> u64 {
// Leaf overhead: signature(4) + version(1) + type(1) + checksum(4) = 10
let overhead = 10u32;
if node_size <= overhead || record_size == 0 {
return 0;
}
((node_size - overhead) / record_size as u32) as u64
}
/// Deepest B-tree v2 accepted. See [`collect_btree_v2_records`].
const MAX_DEPTH: u16 = 64;
/// Take `n` records from the traversal's budget, or refuse the tree.
fn spend(budget: &mut usize, n: usize) -> Result<(), FormatError> {
*budget = budget
.checked_sub(n)
.ok_or(FormatError::NestingDepthExceeded)?;
Ok(())
}
/// Collect all records from a B-tree v2 by traversing from the root.
pub fn collect_btree_v2_records(
file_data: &[u8],
header: &BTreeV2Header,
offset_size: u8,
length_size: u8,
) -> Result<Vec<BTreeV2Record>, FormatError> {
if header.total_records == 0 || header.num_records_in_root == 0 {
return Ok(Vec::new());
}
// Recursion is one frame per level, and the depth is read from the file:
// a crafted header claiming 65 535 levels over a node that is its own
// child overflowed the stack. 64 matches the fractal heap's guard, and no
// real tree comes close — even at the minimum fan-out of two it would
// hold more than 2^64 records.
if header.depth > MAX_DEPTH {
return Err(FormatError::NestingDepthExceeded);
}
// A valid tree stores each record once, in its own bytes, so it cannot
// hold more records than the file has room for. Children are addresses,
// though, and nothing makes them distinct: levels whose children all
// point at one shared node below reach it fan-out^depth times, which is
// millions of records from a few kilobytes. Counting against what the
// file could physically contain bounds that without trusting the
// header's own `total_records`.
let mut budget = file_data.len() / usize::from(header.record_size.max(1));
let max_leaf_nrec = max_records_leaf(header.node_size, header.record_size);
if header.depth == 0 {
// Root is a leaf
parse_leaf_records(
file_data,
header.root_node_address as usize,
header.num_records_in_root,
header.record_size,
)
} else {
// Root is internal; traverse recursively
let mut records = Vec::new();
collect_internal_records(
file_data,
header.root_node_address as usize,
header.num_records_in_root,
header.depth,
header.record_size,
header.node_size,
offset_size,
length_size,
max_leaf_nrec,
&mut budget,
&mut records,
)?;
Ok(records)
}
}
/// Parse records from a leaf node (signature "BTLF").
fn parse_leaf_records(
file_data: &[u8],
offset: usize,
num_records: u16,
record_size: u16,
) -> Result<Vec<BTreeV2Record>, FormatError> {
// signature(4) + version(1) + type(1) = 6 bytes header
ensure_len(file_data, offset, 6)?;
if &file_data[offset..offset + 4] != b"BTLF" {
return Err(FormatError::InvalidBTreeV2Signature);
}
let pos = offset + 6;
let rs = record_size as usize;
let total = (num_records as usize)
.checked_mul(rs)
.ok_or(FormatError::UnexpectedEof {
expected: usize::MAX,
available: file_data.len(),
})?;
ensure_len(file_data, pos, total)?;
// Validate checksum: 4 bytes after records + padding
#[cfg(feature = "checksum")]
{
let checksum_pos = pos + total;
if file_data.len() >= checksum_pos + 4 {
let stored = LittleEndian::read_u32(&file_data[checksum_pos..checksum_pos + 4]);
let computed = crate::checksum::jenkins_lookup3(&file_data[offset..checksum_pos]);
if computed != stored {
return Err(FormatError::ChecksumMismatch {
expected: stored,
computed,
});
}
}
}
let mut records = Vec::with_capacity(num_records as usize);
for i in 0..num_records as usize {
let start = pos + i * rs;
records.push(BTreeV2Record {
data: file_data[start..start + rs].to_vec(),
});
}
Ok(records)
}
/// Recursively collect records from an internal node.
#[allow(clippy::too_many_arguments, clippy::only_used_in_recursion)]
fn collect_internal_records(
file_data: &[u8],
offset: usize,
num_records: u16,
depth: u16,
record_size: u16,
node_size: u32,
offset_size: u8,
length_size: u8,
max_leaf_nrec: u64,
budget: &mut usize,
out: &mut Vec<BTreeV2Record>,
) -> Result<(), FormatError> {
// signature(4) + version(1) + type(1) = 6
ensure_len(file_data, offset, 6)?;
if &file_data[offset..offset + 4] != b"BTIN" {
return Err(FormatError::InvalidBTreeV2Signature);
}
let nr = num_records as usize;
let rs = record_size as usize;
let mut pos = offset + 6;
// Read all records first
let records_total = nr.checked_mul(rs).ok_or(FormatError::UnexpectedEof {
expected: usize::MAX,
available: file_data.len(),
})?;
ensure_len(file_data, pos, records_total)?;
let records_start = pos;
pos += records_total;
// Child pointer layout, as libhdf5 computes it (H5B2__hdr_init): the
// child's record count is always encoded in the width needed for a
// *leaf's* maximum, and — below the first internal level — the child
// subtree's total record count in the width needed for the most records
// a subtree of that depth can hold.
let child_depth = depth - 1;
let nrec_width = bytes_for_max_records(max_leaf_nrec);
let total_nrec_width = if depth > 1 {
bytes_for_max_records(cum_max_records(
node_size,
record_size,
offset_size,
max_leaf_nrec,
child_depth,
))
} else {
0
};
let num_children = nr + 1;
let child_ptr_size = offset_size as usize + nrec_width + total_nrec_width;
ensure_len(file_data, pos, num_children * child_ptr_size)?;
// Read child pointers
let mut children = Vec::with_capacity(num_children);
for _ in 0..num_children {
let addr = read_offset(file_data, pos, offset_size)?;
pos += offset_size as usize;
let child_nrec = read_var_uint(file_data, pos, nrec_width)? as u16;
pos += nrec_width;
pos += total_nrec_width; // skip total records in subtree
children.push((addr, child_nrec));
}
// Interleave: child[0], record[0], child[1], record[1], ..., child[nr]
// We collect child[0] records, then record[0], then child[1], etc.
for (i, &(child_addr, child_nrec)) in children.iter().enumerate() {
if child_depth == 0 {
// Before parsing, so a refused tree is not also a large allocation.
spend(budget, usize::from(child_nrec))?;
let leaf_recs =
parse_leaf_records(file_data, child_addr as usize, child_nrec, record_size)?;
out.extend(leaf_recs);
} else {
collect_internal_records(
file_data,
child_addr as usize,
child_nrec,
child_depth,
record_size,
node_size,
offset_size,
length_size,
max_leaf_nrec,
budget,
out,
)?;
}
// Add record[i] (except after the last child)
if i < nr {
let rec_offset = i.checked_mul(rs).ok_or(FormatError::UnexpectedEof {
expected: usize::MAX,
available: file_data.len(),
})?;
let rec_start =
records_start
.checked_add(rec_offset)
.ok_or(FormatError::UnexpectedEof {
expected: usize::MAX,
available: file_data.len(),
})?;
let rec_end = rec_start
.checked_add(rs)
.ok_or(FormatError::UnexpectedEof {
expected: usize::MAX,
available: file_data.len(),
})?;
if rec_end > file_data.len() {
return Err(FormatError::UnexpectedEof {
expected: rec_end,
available: file_data.len(),
});
}
spend(budget, 1)?;
out.push(BTreeV2Record {
data: file_data[rec_start..rec_end].to_vec(),
});
}
}
Ok(())
}
/// Most records a subtree whose root is at `depth` can hold (libhdf5's
/// `cum_max_nrec`). See [`node_info`].
fn cum_max_records(
node_size: u32,
record_size: u16,
offset_size: u8,
max_leaf_nrec: u64,
depth: u16,
) -> u64 {
node_info_from_leaf(node_size, record_size, offset_size, max_leaf_nrec, depth)
.last()
.map_or(max_leaf_nrec, |n| n.cum_max_nrec)
}
/// Capacity of a B-tree v2 node at one depth, as libhdf5 computes it
/// (`H5B2__hdr_init`'s `node_info`).
#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub(crate) struct NodeInfo {
/// Most records one node at this depth holds.
pub(crate) max_nrec: u64,
/// Most records a subtree rooted at this depth holds.
pub(crate) cum_max_nrec: u64,
/// Bytes a subtree's total record count takes in a pointer to a node
/// at this depth (0 for a leaf, whose count is its own).
pub(crate) cum_max_nrec_size: usize,
}
/// Node capacities for depths `0..=depth` (entry `d` for depth `d`): a leaf
/// holds `max_nrec(0)` records; an internal node at depth `d` holds
/// `max_nrec(d)` records and `max_nrec(d) + 1` subtrees of depth `d - 1`,
/// where `max_nrec(d)` is what fits in a node once each record is paired
/// with a child pointer of the width depth `d` needs (address, the child's
/// record count in the width a *leaf's* maximum needs, and below the first
/// internal level the child subtree's total in the width its maximum
/// needs), with one pointer more than records.
pub(crate) fn node_info(
node_size: u32,
record_size: u16,
offset_size: u8,
depth: u16,
) -> Vec<NodeInfo> {
let max_leaf = max_records_leaf(node_size, record_size);
node_info_from_leaf(node_size, record_size, offset_size, max_leaf, depth)
}
fn node_info_from_leaf(
node_size: u32,
record_size: u16,
offset_size: u8,
max_leaf_nrec: u64,
depth: u16,
) -> Vec<NodeInfo> {
// Internal node overhead: signature(4) + version(1) + type(1) + checksum(4).
const PREFIX: u64 = 10;
let nrec_width = bytes_for_max_records(max_leaf_nrec) as u64;
let mut info = Vec::with_capacity(usize::from(depth) + 1);
info.push(NodeInfo {
max_nrec: max_leaf_nrec,
cum_max_nrec: max_leaf_nrec,
cum_max_nrec_size: 0,
});
for d in 1..=depth {
let below = info[usize::from(d) - 1];
let ptr = u64::from(offset_size)
+ nrec_width
+ if d > 1 {
below.cum_max_nrec_size as u64
} else {
0
};
let max_nrec = u64::from(node_size)
.saturating_sub(PREFIX)
.saturating_sub(ptr)
/ (u64::from(record_size) + ptr).max(1);
let cum = max_nrec
.saturating_add(1)
.saturating_mul(below.cum_max_nrec)
.saturating_add(max_nrec);
info.push(NodeInfo {
max_nrec,
cum_max_nrec: cum,
cum_max_nrec_size: bytes_for_max_records(cum),
});
}
info
}
#[cfg(test)]
mod tests {
use super::*;
#[allow(clippy::too_many_arguments)]
fn build_btree_v2_header(
tree_type: u8,
node_size: u32,
record_size: u16,
depth: u16,
root_addr: u64,
num_records_root: u16,
total_records: u64,
offset_size: u8,
length_size: u8,
) -> Vec<u8> {
let mut buf = Vec::new();
buf.extend_from_slice(b"BTHD");
buf.push(0); // version
buf.push(tree_type);
buf.extend_from_slice(&node_size.to_le_bytes());
buf.extend_from_slice(&record_size.to_le_bytes());
buf.extend_from_slice(&depth.to_le_bytes());
buf.push(85); // split_percent
buf.push(40); // merge_percent
match offset_size {
4 => buf.extend_from_slice(&(root_addr as u32).to_le_bytes()),
8 => buf.extend_from_slice(&root_addr.to_le_bytes()),
_ => {}
}
buf.extend_from_slice(&num_records_root.to_le_bytes());
match length_size {
4 => buf.extend_from_slice(&(total_records as u32).to_le_bytes()),
8 => buf.extend_from_slice(&total_records.to_le_bytes()),
_ => {}
}
let checksum = crate::checksum::jenkins_lookup3(&buf);
buf.extend_from_slice(&checksum.to_le_bytes());
buf
}
fn build_leaf_node(tree_type: u8, records: &[&[u8]]) -> Vec<u8> {
let mut buf = Vec::new();
buf.extend_from_slice(b"BTLF");
buf.push(0); // version
buf.push(tree_type);
for rec in records {
buf.extend_from_slice(rec);
}
let checksum = crate::checksum::jenkins_lookup3(&buf);
buf.extend_from_slice(&checksum.to_le_bytes());
buf
}
/// An internal node laid out exactly as `collect_internal_records` will
/// read it at `depth`: `records` zeroed records, then `children` pointers,
/// all to `child_addr` claiming `child_nrec` records.
fn internal_node(
depth: u16,
node_size: u32,
record_size: u16,
records: usize,
children: usize,
child_addr: u64,
child_nrec: u64,
) -> Vec<u8> {
let max_leaf = max_records_leaf(node_size, record_size);
let nrec_width = bytes_for_max_records(max_leaf);
let total_width = if depth > 1 {
bytes_for_max_records(cum_max_records(
node_size,
record_size,
8,
max_leaf,
depth - 1,
))
} else {
0
};
let mut buf = b"BTIN".to_vec();
buf.extend_from_slice(&[0, 5]);
buf.resize(buf.len() + records * record_size as usize, 0);
for _ in 0..children {
buf.extend_from_slice(&child_addr.to_le_bytes());
buf.extend_from_slice(&child_nrec.to_le_bytes()[..nrec_width]);
buf.resize(buf.len() + total_width, 0);
}
buf
}
fn header(depth: u16, root: u64, root_nrec: u16, total: u64) -> BTreeV2Header {
BTreeV2Header {
tree_type: 5,
node_size: 512,
record_size: 8,
depth,
root_node_address: root,
num_records_in_root: root_nrec,
total_records: total,
}
}
#[test]
fn a_node_that_is_its_own_child_is_rejected_not_recursed() {
// One internal node whose two children are itself, under a header
// claiming the deepest tree a u16 allows. The layout stops depending
// on depth once the subtree-total width saturates, so every level
// parses cleanly and recursion runs ~65 000 frames deep: before the
// cap this overflowed the stack and aborted the process, from a file
// of under 100 bytes.
let mut data = internal_node(u16::MAX, 512, 8, 1, 2, 0, 1);
data.resize(4096, 0);
let result = collect_btree_v2_records(&data, &header(u16::MAX, 0, 1, 1), 8, 8);
assert!(result.is_err(), "{result:?}");
}
#[test]
fn a_shared_subtree_cannot_multiply_the_work() {
// A chain of distinct levels, each node's children all pointing at the
// single node below, ending in a real leaf. Every node parses and
// nothing is cyclic, yet the leaf is reached fan-out^depth times: 62
// children over 4 levels is ~15 million leaf visits from a few
// kilobytes. A valid tree cannot hold more records than the file has
// room for, so that bounds the traversal instead.
let (node_size, record_size) = (512u32, 8u16);
let fanout = 62usize;
let depth = 4u16;
let leaf = build_leaf_node(5, &[&[0u8; 8][..]]);
// Lay out root first, then each lower level, then the leaf.
let mut nodes: Vec<Vec<u8>> = Vec::new();
let mut addrs = Vec::new();
let mut at = 0u64;
let mut sizes = Vec::new();
for d in (1..=depth).rev() {
let n = internal_node(d, node_size, record_size, fanout - 1, fanout, 0, 0);
sizes.push(n.len());
}
for size in &sizes {
addrs.push(at);
at += *size as u64;
}
let leaf_addr = at;
for (i, d) in (1..=depth).rev().enumerate() {
let (child, child_nrec) = if d == 1 {
(leaf_addr, 1)
} else {
(addrs[i + 1], fanout as u64 - 1)
};
nodes.push(internal_node(
d,
node_size,
record_size,
fanout - 1,
fanout,
child,
child_nrec,
));
}
let mut data: Vec<u8> = nodes.concat();
data.extend_from_slice(&leaf);
data.resize(data.len() + 64, 0);
let started = std::time::Instant::now();
let result =
collect_btree_v2_records(&data, &header(depth, 0, fanout as u16 - 1, u64::MAX), 8, 8);
assert!(
result.is_err(),
"expected a refusal, got {} records",
result.map_or(0, |r| r.len())
);
assert!(
started.elapsed() < std::time::Duration::from_secs(2),
"took {:?}",
started.elapsed()
);
}
#[test]
fn parse_header() {
let data = build_btree_v2_header(5, 512, 11, 0, 0x1000, 3, 3, 8, 8);
let hdr = BTreeV2Header::parse(&data, 0, 8, 8).unwrap();
assert_eq!(hdr.tree_type, 5);
assert_eq!(hdr.node_size, 512);
assert_eq!(hdr.record_size, 11);
assert_eq!(hdr.depth, 0);
assert_eq!(hdr.root_node_address, 0x1000);
assert_eq!(hdr.num_records_in_root, 3);
assert_eq!(hdr.total_records, 3);
}
#[test]
fn parse_leaf_with_2_records() {
let rec1 = [1u8, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11];
let rec2 = [11u8, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21];
let leaf = build_leaf_node(5, &[&rec1, &rec2]);
let leaf_offset = 256usize;
let header = build_btree_v2_header(5, 512, 11, 0, leaf_offset as u64, 2, 2, 8, 8);
let mut file_data = vec![0u8; 512];
file_data[..header.len()].copy_from_slice(&header);
file_data[leaf_offset..leaf_offset + leaf.len()].copy_from_slice(&leaf);
let hdr = BTreeV2Header::parse(&file_data, 0, 8, 8).unwrap();
let records = collect_btree_v2_records(&file_data, &hdr, 8, 8).unwrap();
assert_eq!(records.len(), 2);
assert_eq!(records[0].data, rec1.to_vec());
assert_eq!(records[1].data, rec2.to_vec());
}
#[test]
fn invalid_signature() {
let mut data = build_btree_v2_header(5, 512, 11, 0, 0, 0, 0, 8, 8);
data[0] = b'X';
let err = BTreeV2Header::parse(&data, 0, 8, 8).unwrap_err();
assert_eq!(err, FormatError::InvalidBTreeV2Signature);
}
#[test]
fn invalid_version() {
let mut data = build_btree_v2_header(5, 512, 11, 0, 0, 0, 0, 8, 8);
data[4] = 1; // bad version
let err = BTreeV2Header::parse(&data, 0, 8, 8).unwrap_err();
assert_eq!(err, FormatError::InvalidBTreeV2Version(1));
}
#[test]
fn empty_tree() {
let header = build_btree_v2_header(5, 512, 11, 0, 0, 0, 0, 8, 8);
let hdr = BTreeV2Header::parse(&header, 0, 8, 8).unwrap();
let records = collect_btree_v2_records(&header, &hdr, 8, 8).unwrap();
assert!(records.is_empty());
}
#[test]
fn subtree_capacity_matches_libhdf5() {
// A link-name index (11-byte records, 512-byte nodes, 8-byte
// addresses): libhdf5's H5B2__hdr_init gives 45 records per leaf,
// then cum_max_nrec 1 149 at depth 1 and 26 449 at depth 2 — two
// bytes of subtree count in a depth-3 root's child pointers, where
// leaf_max^3 = 91 125 would need three.
let leaf = max_records_leaf(512, 11);
assert_eq!(leaf, 45);
assert_eq!(cum_max_records(512, 11, 8, leaf, 0), 45);
assert_eq!(cum_max_records(512, 11, 8, leaf, 1), 1_149);
assert_eq!(cum_max_records(512, 11, 8, leaf, 2), 26_449);
}
}