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#![cfg_attr(docsrs, feature(doc_cfg))]
#![cfg_attr(docsrs, allow(unused_attributes))]
//! This crate provides a range-tree implementation, intended to manage range section with btree.
use core::{
cmp::Ordering,
fmt,
ops::{AddAssign, Bound, RangeBounds, SubAssign},
};
use embed_collections::btree::{BTreeMap, Entry};
use num_traits::*;
pub use embed_collections::btree::{Cursor, IntoIter, Iter};
pub trait RangeTreeKey:
Unsigned + AddAssign + SubAssign + Ord + Copy + fmt::Debug + fmt::Display + Default + 'static
{
}
impl<T> RangeTreeKey for T where
T: Unsigned
+ AddAssign
+ SubAssign
+ Ord
+ Copy
+ fmt::Debug
+ fmt::Display
+ Default
+ 'static
{
}
pub struct RangeTree<T: RangeTreeKey> {
// the tree stores ranges in [key:start, value:size) format
tree: BTreeMap<T, T>,
space: T,
}
/// Trait for allocator
///
/// when range tree merge/split, need to mirror the adding and removal range from size_tree
pub trait RangeTreeOps<T: RangeTreeKey> {
/// Callback for manage size tree
fn op_add(&mut self, start: T, size: T);
/// Callback for manage size tree
fn op_remove(&mut self, start: T, size: T);
}
#[derive(Default)]
pub struct DummyOps();
impl<T: RangeTreeKey> RangeTreeOps<T> for DummyOps {
#[inline]
fn op_add(&mut self, _start: T, _size: T) {}
#[inline]
fn op_remove(&mut self, _start: T, _size: T) {}
}
impl<T: RangeTreeKey> RangeTree<T> {
pub fn new() -> Self {
Self { tree: BTreeMap::new(), space: T::zero() }
}
#[inline]
pub fn is_empty(&self) -> bool {
self.tree.is_empty()
}
#[inline(always)]
pub fn get_space(&self) -> T {
self.space
}
#[inline(always)]
pub fn len(&self) -> usize {
self.tree.len()
}
/// Add range segment, merge with adjacent ranges, assuming no intersections.
///
/// Returns `Ok(())` if there are no intersection;
/// otherwise returns the overlapping range as `Err((existing_start, existing_size))`.
///
/// This equals to add + add_find_overlap in v0.1
#[inline]
pub fn add(&mut self, start: T, size: T) -> Result<(), (T, T)> {
self.add_with(start, size, &mut DummyOps {})
}
#[inline]
pub fn add_with<O>(&mut self, start: T, size: T, ops: &mut O) -> Result<(), (T, T)>
where
O: RangeTreeOps<T>,
{
assert!(size > T::zero(), "range tree add size={} error", size);
let end = start + size;
let mut prev = None;
let mut next = None;
match self.tree.entry(start) {
Entry::Occupied(ent) => {
return Err((*ent.key(), *ent.get()));
}
Entry::Vacant(ent) => {
if let Some((_start, _size)) = ent.peek_backward() {
let _end = *_start + *_size;
match _end.cmp(&start) {
Ordering::Equal => {
prev = Some((*_start, *_size));
}
Ordering::Greater => return Err((*_start, *_size)),
_ => {}
}
}
if let Some((_start, _size)) = ent.peek_forward() {
match end.cmp(_start) {
Ordering::Equal => {
next = Some((*_start, *_size));
}
Ordering::Greater => return Err((*_start, *_size)),
_ => {}
}
}
match (prev, next) {
(None, None) => {
ops.op_add(start, size);
ent.insert(size);
}
(None, Some((next_start, mut next_size))) => {
let mut ent_next = ent.move_forward().expect("merge next");
ops.op_remove(next_start, next_size);
next_size += size;
*ent_next.get_mut() = next_size;
ent_next.alter_key(start).expect("merge next alter_key");
ops.op_add(start, next_size);
}
(Some((prev_start, mut prev_size)), None) => {
ops.op_remove(prev_start, prev_size);
let mut ent_prev = ent.move_backward().expect("merge prev");
prev_size += size;
*ent_prev.get_mut() = prev_size;
ops.op_add(prev_start, prev_size);
}
(Some((prev_start, prev_size)), Some((next_start, next_size))) => {
ops.op_remove(prev_start, prev_size);
ops.op_remove(next_start, next_size);
let mut ent_prev = ent.move_backward().expect("merge prev");
let final_size = prev_size + size + next_size;
*ent_prev.get_mut() = final_size;
ops.op_add(prev_start, final_size);
let ent_next = ent_prev.move_forward().expect("merge next");
ent_next.remove();
}
}
self.space += size;
Ok(())
}
}
}
#[inline(always)]
pub fn add_abs(&mut self, start: T, end: T) -> Result<(), (T, T)> {
assert!(start < end, "range tree add start={} end={}", start, end);
self.add(start, end - start)
}
/// Add range which may have multiple intersections with existing range, ensuring union result
#[inline]
pub fn add_loosely(&mut self, start: T, size: T) {
assert!(size > T::zero(), "range tree add size error");
let new_end = start + size;
let base_ent = match self.tree.entry(start) {
Entry::Occupied(oe) => {
if start + *oe.get() >= new_end {
return;
}
Entry::Occupied(oe)
}
Entry::Vacant(ve) => {
if let Some((pre_start, pre_size)) = ve.peek_backward() {
let cur_end = *pre_start + *pre_size;
if cur_end >= new_end {
return;
}
if cur_end >= start {
Entry::Occupied(ve.move_backward().expect("move back to merge"))
} else {
Entry::Vacant(ve)
}
} else {
Entry::Vacant(ve)
}
}
};
macro_rules! remove_intersect {
($next_start: expr, $new_end: expr) => {
if let Some((last_start, last_size)) = self.tree.remove_range_with(
$next_start..=$new_end,
|_removed_start, removed_size| {
self.space -= *removed_size;
},
) {
let last_end = last_start + last_size;
if last_end > new_end {
let _size = last_end - new_end;
// add back and join with previous range
self.add(new_end, _size)
.expect("add {new_end:?}:{_size:?} should not fail");
}
}
};
}
match base_ent {
Entry::Occupied(mut oe) => {
let base_start = *oe.key();
let old_size = *oe.get();
// extend the size to final size
let final_size = new_end - base_start;
self.space += final_size - old_size;
*oe.get_mut() = final_size;
if let Some((_next_start, _next_size)) = oe.peek_forward() {
let next_start = *_next_start;
let next_size = *_next_size;
if next_start < new_end {
drop(oe);
remove_intersect!(next_start, new_end);
} else if next_start == new_end {
// space is neutral (moving between segments)
*oe.get_mut() += next_size;
self.tree.remove(&next_start);
}
}
}
Entry::Vacant(ve) => {
let base_start = start;
self.space += size;
if let Some((_next_start, _next_size)) = ve.peek_forward() {
let next_start = *_next_start;
let next_size = *_next_size;
if next_start < new_end {
ve.insert(size);
remove_intersect!(next_start, new_end);
} else if next_start == new_end {
let final_size = new_end - base_start + next_size;
ve.insert(final_size);
self.tree.remove(&next_start);
} else {
ve.insert(size);
}
} else {
ve.insert(size);
}
}
}
}
/// Valid and remove specify range start:size
///
/// # Return value
/// - Only return Ok(()) when there's existing range equal to or contain the removal range in the tree,
/// - return Err(None) when not found,
/// - return Err(Some(start, size)) when a range intersect with the removal range, or when the
/// removal range larger than existing range.
#[inline]
pub fn remove(&mut self, start: T, size: T) -> Result<(), Option<(T, T)>> {
self.remove_with(start, size, &mut DummyOps {})
}
/// Valid and remove specify range start:size
///
/// # Return value
///
/// - Only return Ok(()) when there's existing range equal to or contain the removal range in the tree,
/// - return Err(None) when not found,
/// - return Err(Some(start, size)) when a range intersect with the removal range, or when the
/// removal range larger than existing range.
pub fn remove_with<O>(&mut self, start: T, size: T, ops: &mut O) -> Result<(), Option<(T, T)>>
where
O: RangeTreeOps<T>,
{
let end = start + size;
let ent = self.tree.entry(start);
match ent {
Entry::Occupied(mut oent) => {
let rs_size = *oent.get();
ops.op_remove(start, rs_size);
if rs_size == size {
// Exact match or subset removed
oent.remove();
self.space -= rs_size;
return Ok(());
} else if rs_size > size {
// Shrink from front
let new_start = start + size;
let new_size = rs_size - size;
oent.alter_key(new_start).expect("shrink alter_key");
*oent.get_mut() = new_size;
ops.op_add(new_start, new_size);
self.space -= size;
return Ok(());
} else {
// existing range smaller than what need to remove
return Err(Some((start, rs_size)));
}
}
Entry::Vacant(vent) => {
if let Some((&rs_start, &rs_size)) = vent.peek_backward() {
let rs_end = rs_start + rs_size;
if rs_end > start {
ops.op_remove(rs_start, rs_size);
let mut oent = vent.move_backward().expect("move back to overlapping");
if rs_end > end {
let new_size = start - rs_start;
// punch a hold in the middle
*oent.get_mut() = new_size;
ops.op_add(rs_start, new_size);
let new_size2 = rs_end - end;
// TODO optimize add insert after entry for btree
self.tree.insert(end, new_size2);
ops.op_add(end, new_size2);
self.space -= size;
return Ok(());
} else if rs_end == end {
// Shrink from back
let new_size = start - rs_start;
*oent.get_mut() = new_size;
ops.op_add(rs_start, new_size);
self.space -= rs_end - start;
return Ok(());
} else {
return Err(Some((rs_start, rs_size)));
}
} else {
return Err(None);
}
} else {
return Err(None);
}
}
}
}
/// Remove all the intersection ranges in the tree
///
/// the range start:size to remove allow to be larger than the existing range
///
/// Equals to remove_and_split in v0.1
///
/// return true if overlapping range found and removed.
/// return false if overlapping range not found.
///
/// #[inline]
pub fn remove_loosely(&mut self, mut start: T, mut size: T) -> bool {
let end = start + size;
let mut ent = self.tree.entry(start);
let mut removed = false;
loop {
match ent {
Entry::Occupied(mut oent) => {
let rs_size = *oent.get();
if rs_size == size {
// Exact match or subset removed
oent.remove();
self.space -= rs_size;
return true;
} else if rs_size > size {
// Shrink from front
let new_start = start + size;
let new_size = rs_size - size;
oent.alter_key(new_start).expect("shrink alter_key");
*oent.get_mut() = new_size;
self.space -= size;
return true;
} else {
if let Some((_next_start, _next_size)) = oent.peek_forward() {
if *_next_start < end {
start = *_next_start;
size = end - start;
self.space -= *oent.get();
oent.remove();
ent = self.tree.entry(start);
removed = true;
continue;
}
}
self.space -= rs_size;
oent.remove();
return true;
}
}
Entry::Vacant(vent) => {
if let Some((&rs_start, &rs_size)) = vent.peek_backward() {
let rs_end = rs_start + rs_size;
if rs_end > start {
let mut oent = vent.move_backward().expect("move back to overlapping");
if rs_end > end {
let new_size = start - rs_start;
// punch a hold in the middle
*oent.get_mut() = new_size;
let new_size2 = rs_end - end;
// TODO optimize add insert after entry for btree
self.tree.insert(end, new_size2);
self.space -= size;
return true;
} else {
// Shrink from back
let new_size = start - rs_start;
*oent.get_mut() = new_size;
self.space -= rs_end - start;
if rs_end == end {
return true;
}
if let Some((next_start, _)) = oent.peek_forward() {
if *next_start < end {
start = *next_start;
size = end - *next_start;
ent = Entry::Occupied(
oent.move_forward()
.expect("move forward to overlapping"),
);
continue;
}
}
return true;
}
}
}
// Handle the case where range starts before the first overlapping segment
if let Some((next_start, _)) = vent.peek_forward() {
if *next_start < end {
start = *next_start;
size = end - *next_start;
ent = Entry::Occupied(
vent.move_forward().expect("move forward to overlapping"),
);
continue;
}
}
return removed;
}
}
}
}
/// return only when segment overlaps with [start, start+size]
#[inline]
pub fn range<'a, R: RangeBounds<T>>(&'a self, r: R) -> RangeIter<'a, T> {
let start = match r.start_bound() {
Bound::Included(start) => Some(*start),
Bound::Excluded(start) => Some(*start),
_ => None,
};
let cursor = if let Some(_start) = start {
let mut _cursor = self.tree.cursor(&_start);
if let Some((pre_start, pre_size)) = _cursor.peek_backward() {
let pre_end = *pre_start + *pre_size;
if pre_end > _start {
_cursor.previous();
}
// TODO what if we find pre_start < start but pre_start + size >= start
}
_cursor
} else {
self.tree.first_cursor()
};
RangeIter { cursor, end: r.end_bound().cloned(), not_empty: true }
}
pub fn collect(&self) -> Vec<(T, T)> {
let mut v = Vec::with_capacity(self.len());
for (start, size) in &self.tree {
v.push((*start, *size))
}
v
}
#[inline]
pub fn iter(&self) -> Iter<'_, T, T> {
self.tree.iter()
}
pub fn validate(&self) {
self.tree.validate();
}
#[inline]
pub fn memory_used(&self) -> usize {
self.tree.memory_used()
}
}
impl<'a, T: RangeTreeKey> IntoIterator for &'a RangeTree<T> {
type Item = (&'a T, &'a T);
type IntoIter = Iter<'a, T, T>;
#[inline]
fn into_iter(self) -> Self::IntoIter {
self.iter()
}
}
impl<T: RangeTreeKey> IntoIterator for RangeTree<T> {
type Item = (T, T);
type IntoIter = IntoIter<T, T>;
#[inline]
fn into_iter(self) -> Self::IntoIter {
self.tree.into_iter()
}
}
pub struct RangeIter<'a, T: RangeTreeKey> {
cursor: Cursor<'a, T, T>,
end: Bound<T>,
not_empty: bool,
}
impl<'a, T: RangeTreeKey> Iterator for RangeIter<'a, T> {
type Item = (T, T);
#[inline]
fn next(&mut self) -> Option<Self::Item> {
if self.not_empty {
if let Some((start, size)) = self.cursor.next() {
match self.end {
Bound::Unbounded => return Some((*start, *size)),
Bound::Excluded(end) => {
if *start < end {
return Some((*start, *size));
}
self.not_empty = false;
return None;
}
Bound::Included(end) => {
if *start <= end {
return Some((*start, *size));
}
self.not_empty = false;
return None;
}
}
}
self.not_empty = false;
}
return None;
}
}