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use crate::Error;
/// Successor table used by the Manifold k-NN dynamic program.
///
/// Stores later birth indices `j > i` whose insertion pruned the Voronoi cell of point `i`.
/// This implementation uses a Compressed Sparse Row (CSR) style flat array layout
/// to eliminate memory allocations and improve cache locality during query traversals.
#[derive(Clone, Debug, Eq, PartialEq)]
pub struct SuccessorTable {
offsets: Vec<usize>,
successors: Vec<usize>,
}
impl SuccessorTable {
/// Creates an empty successor table with `len` lists.
#[must_use]
#[inline]
pub fn empty(len: usize) -> Self {
Self {
offsets: vec![0; len + 1],
successors: Vec::new(),
}
}
/// Creates a successor table from already sorted, duplicate-free lists.
#[inline]
pub fn try_from_lists(lists: Vec<Vec<usize>>) -> Result<Self, Error> {
let mut offsets = Vec::with_capacity(lists.len() + 1);
offsets.push(0);
let mut total_successors = 0;
for list in &lists {
total_successors += list.len();
offsets.push(total_successors);
}
let mut successors = vec![0; total_successors];
let mut idx = 0;
for list in lists {
let len = list.len();
successors[idx..idx + len].copy_from_slice(&list);
idx += len;
}
let table = Self { offsets, successors };
table.validate()?;
Ok(table)
}
/// Creates a successor table from lists that may be unsorted or contain
/// duplicate entries.
///
/// Entries are sorted and deduplicated before validation.
#[inline]
pub fn from_lists_normalized(mut lists: Vec<Vec<usize>>) -> Result<Self, Error> {
#[cfg(feature = "parallel")]
{
use rayon::prelude::*;
lists.par_iter_mut().for_each(|list| {
list.sort_unstable();
list.dedup();
});
}
#[cfg(not(feature = "parallel"))]
{
for list in &mut lists {
list.sort_unstable();
list.dedup();
}
}
Self::try_from_lists(lists)
}
/// Builds a complete quadratic successor table containing every edge `i -> j`
/// for `i < j`.
///
/// This table makes the query algorithm exact for arbitrary point sets, but
/// it costs `O(n^2)` memory and query work in the worst case.
#[must_use]
pub fn complete(len: usize) -> Self {
let mut offsets = Vec::with_capacity(len + 1);
offsets.push(0);
let mut total = 0;
for owner in 0..len {
total += len.saturating_sub(owner + 1);
offsets.push(total);
}
let mut successors = vec![0; total];
let mut idx = 0;
for owner in 0..len {
for successor in (owner + 1)..len {
successors[idx] = successor;
idx += 1;
}
}
Self { offsets, successors }
}
/// Builds a successor table from insertion-time neighbor lists.
///
/// `neighbors_at_insertion[j]` contains earlier indices `i < j` adjacent to
/// `j` at insertion time. This constructor appends `j` to each list `i`.
pub fn from_insertion_neighbors(
len: usize,
mut neighbors_at_insertion: Vec<Vec<usize>>,
) -> Result<Self, Error> {
if neighbors_at_insertion.len() != len {
return Err(Error::TableLengthMismatch {
points: len,
lists: neighbors_at_insertion.len(),
});
}
#[cfg(feature = "parallel")]
{
use rayon::prelude::*;
neighbors_at_insertion.par_iter_mut().for_each(|neighbors| {
neighbors.sort_unstable();
neighbors.dedup();
});
}
#[cfg(not(feature = "parallel"))]
{
for neighbors in &mut neighbors_at_insertion {
neighbors.sort_unstable();
neighbors.dedup();
}
}
// Count successor list sizes
let mut counts = vec![0; len];
for (inserted, neighbors) in neighbors_at_insertion.iter().enumerate() {
for &neighbor in neighbors {
if neighbor >= inserted {
return Err(Error::InvalidInsertionNeighbor { inserted, neighbor });
}
counts[neighbor] += 1;
}
}
// Compute offsets
let mut offsets = Vec::with_capacity(len + 1);
offsets.push(0);
let mut total = 0;
for &count in &counts {
total += count;
offsets.push(total);
}
// Populate successors using write cursors to keep track of write positions.
let mut write_cursors = offsets[..len].to_vec();
let mut successors = vec![0; total];
for (inserted, neighbors) in neighbors_at_insertion.into_iter().enumerate() {
for neighbor in neighbors {
let pos = &mut write_cursors[neighbor];
successors[*pos] = inserted;
*pos += 1;
}
}
let table = Self { offsets, successors };
table.validate()?;
Ok(table)
}
/// Returns the number of successor lists.
#[must_use]
#[inline]
pub fn len(&self) -> usize {
self.offsets.len().saturating_sub(1)
}
/// Returns `true` when there are no successor lists.
#[must_use]
#[inline]
pub fn is_empty(&self) -> bool {
self.len() == 0
}
/// Returns all successor lists as an iterator over slices.
#[must_use]
#[inline]
pub fn lists(&self) -> impl Iterator<Item = &[usize]> + '_ {
(0..self.len()).map(move |owner| self.list(owner))
}
/// Returns a successor list by owner index.
///
/// # Panics
///
/// Panics if `owner >= self.len()`.
#[must_use]
#[inline]
pub fn list(&self, owner: usize) -> &[usize] {
let start = self.offsets[owner];
let end = self.offsets[owner + 1];
&self.successors[start..end]
}
/// Appends a new empty list. This is used when inserting a new point.
#[inline]
pub fn push_empty_list(&mut self) {
self.offsets.push(self.successors.len());
}
/// Inserts successor edge `owner -> successor` while preserving sorted order.
///
/// Returns `true` if an edge was inserted and `false` if it was already
/// present.
pub fn insert_successor(&mut self, owner: usize, successor: usize) -> Result<bool, Error> {
self.validate_successor(owner, successor)?;
let start = self.offsets[owner];
let end = self.offsets[owner + 1];
let list = &self.successors[start..end];
match list.binary_search(&successor) {
Ok(_) => Ok(false),
Err(pos) => {
let insert_pos = start + pos;
self.successors.insert(insert_pos, successor);
for offset in &mut self.offsets[owner + 1..] {
*offset += 1;
}
Ok(true)
}
}
}
/// Removes all occurrences of `successor` from every list.
///
/// Returns the number of removed references.
pub fn remove_references_to(&mut self, successor: usize) -> usize {
let mut removed = 0;
let mut write_idx = 0;
let original_offsets = self.offsets.clone();
for owner in 0..self.len() {
let start = original_offsets[owner];
let end = original_offsets[owner + 1];
for read_idx in start..end {
let val = self.successors[read_idx];
if val == successor {
removed += 1;
} else {
self.successors[write_idx] = val;
write_idx += 1;
}
}
self.offsets[owner + 1] = write_idx;
}
self.successors.truncate(write_idx);
removed
}
/// Clears one successor list.
pub fn clear_list(&mut self, owner: usize) -> Result<(), Error> {
if owner >= self.len() {
return Err(Error::InvalidIndex {
index: owner,
len: self.len(),
});
}
let start = self.offsets[owner];
let end = self.offsets[owner + 1];
let len_to_remove = end - start;
if len_to_remove > 0 {
self.successors.drain(start..end);
for offset in &mut self.offsets[owner + 1..] {
*offset -= len_to_remove;
}
}
Ok(())
}
/// Clears every successor list while preserving table length.
pub fn clear_all(&mut self) {
self.successors.clear();
self.offsets.fill(0);
}
/// Validates the table against its own length.
#[inline]
pub fn validate(&self) -> Result<(), Error> {
self.validate_for_len(self.len())
}
/// Validates the table for a point array of length `len`.
pub fn validate_for_len(&self, len: usize) -> Result<(), Error> {
if self.len() != len {
return Err(Error::TableLengthMismatch {
points: len,
lists: self.len(),
});
}
#[cfg(feature = "parallel")]
{
use rayon::prelude::*;
(0..len).into_par_iter().try_for_each(|owner| {
let start = self.offsets[owner];
let end = self.offsets[owner + 1];
let list = &self.successors[start..end];
let mut previous = None;
for &successor in list {
if successor <= owner || successor >= len {
return Err(Error::InvalidSuccessor {
owner,
successor,
len,
});
}
if let Some(prev) = previous {
if successor == prev {
return Err(Error::DuplicateSuccessor { owner, successor });
}
if successor < prev {
return Err(Error::UnsortedSuccessorList {
owner,
previous: prev,
current: successor,
});
}
}
previous = Some(successor);
}
Ok(())
})
}
#[cfg(not(feature = "parallel"))]
{
for owner in 0..len {
let start = self.offsets[owner];
let end = self.offsets[owner + 1];
let list = &self.successors[start..end];
let mut previous = None;
for &successor in list {
if successor <= owner || successor >= len {
return Err(Error::InvalidSuccessor {
owner,
successor,
len,
});
}
if let Some(prev) = previous {
if successor == prev {
return Err(Error::DuplicateSuccessor { owner, successor });
}
if successor < prev {
return Err(Error::UnsortedSuccessorList {
owner,
previous: prev,
current: successor,
});
}
}
previous = Some(successor);
}
}
Ok(())
}
}
fn validate_successor(&self, owner: usize, successor: usize) -> Result<(), Error> {
if owner >= self.len() {
return Err(Error::InvalidIndex {
index: owner,
len: self.len(),
});
}
if successor <= owner || successor >= self.len() {
return Err(Error::InvalidSuccessor {
owner,
successor,
len: self.len(),
});
}
Ok(())
}
}