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13.5 kB
| use std::mem::take; | |
| use crate::timestamp::Timestamp; | |
| const SPLIT_COUNT: usize = 128; | |
| /// Start balancing the tree when there are N times more items on one side. Must be at least 3. | |
| const BALANCE_THRESHOLD: usize = 3; | |
| pub struct SelfTimeTree<T> { | |
| entries: Vec<SelfTimeEntry<T>>, | |
| children: Option<Box<SelfTimeChildren<T>>>, | |
| count: usize, | |
| } | |
| struct SelfTimeEntry<T> { | |
| start: Timestamp, | |
| end: Timestamp, | |
| item: T, | |
| } | |
| struct SelfTimeChildren<T> { | |
| /// Entries < split_point | |
| left: SelfTimeTree<T>, | |
| split_point: Timestamp, | |
| /// Entries >= split_point | |
| right: SelfTimeTree<T>, | |
| /// Number of entries in the SelfTimeTree::entries list that overlap the split point | |
| spanning_entries: usize, | |
| } | |
| impl<T> Default for SelfTimeTree<T> { | |
| fn default() -> Self { | |
| Self { | |
| entries: Vec::new(), | |
| children: None, | |
| count: 0, | |
| } | |
| } | |
| } | |
| impl<T> SelfTimeTree<T> { | |
| pub fn new() -> Self { | |
| Self::default() | |
| } | |
| pub fn len(&self) -> usize { | |
| self.count | |
| } | |
| pub fn insert(&mut self, start: Timestamp, end: Timestamp, item: T) { | |
| self.count += 1; | |
| self.entries.push(SelfTimeEntry { start, end, item }); | |
| self.check_for_split(); | |
| } | |
| fn check_for_split(&mut self) { | |
| if self.entries.len() >= SPLIT_COUNT { | |
| let spanning_entries = if let Some(children) = &mut self.children { | |
| children.spanning_entries | |
| } else { | |
| 0 | |
| }; | |
| if self.entries.len() - spanning_entries >= SPLIT_COUNT { | |
| self.split(); | |
| } | |
| } | |
| } | |
| fn split(&mut self) { | |
| debug_assert!(!self.entries.is_empty()); | |
| self.distribute_entries(); | |
| self.rebalance(); | |
| } | |
| fn distribute_entries(&mut self) { | |
| if self.children.is_none() { | |
| let start = self.entries.iter().min_by_key(|e| e.start).unwrap().start; | |
| let end = self.entries.iter().max_by_key(|e| e.end).unwrap().end; | |
| let middle = (start + end) / 2; | |
| self.children = Some(Box::new(SelfTimeChildren { | |
| left: SelfTimeTree::new(), | |
| split_point: middle, | |
| right: SelfTimeTree::new(), | |
| spanning_entries: 0, | |
| })); | |
| } | |
| let Some(children) = &mut self.children else { | |
| unreachable!(); | |
| }; | |
| let mut i = children.spanning_entries; | |
| while i < self.entries.len() { | |
| let SelfTimeEntry { start, end, .. } = self.entries[i]; | |
| if end <= children.split_point { | |
| let SelfTimeEntry { start, end, item } = self.entries.swap_remove(i); | |
| children.left.insert(start, end, item); | |
| } else if start >= children.split_point { | |
| let SelfTimeEntry { start, end, item } = self.entries.swap_remove(i); | |
| children.right.insert(start, end, item); | |
| } else { | |
| self.entries.swap(i, children.spanning_entries); | |
| children.spanning_entries += 1; | |
| i += 1; | |
| } | |
| } | |
| } | |
| fn rebalance(&mut self) { | |
| if let Some(box SelfTimeChildren { | |
| left, | |
| split_point, | |
| right, | |
| spanning_entries, | |
| }) = &mut self.children | |
| { | |
| let SelfTimeTree { | |
| count: left_count, | |
| children: left_children, | |
| entries: left_entries, | |
| } = left; | |
| let SelfTimeTree { | |
| count: right_count, | |
| children: right_children, | |
| entries: right_entries, | |
| } = right; | |
| if *left_count > *right_count * BALANCE_THRESHOLD + *spanning_entries { | |
| // The left side has overweight | |
| // We want to have a new tree that is: | |
| // left' = left.left | |
| // right' = (left.right, right) with self.split_point | |
| // split_point' = left.split_point | |
| // direct entries in self and left are put in self and are redistributed | |
| if let Some(box SelfTimeChildren { | |
| left: left_left, | |
| split_point: left_split_point, | |
| right: left_right, | |
| spanning_entries: _, | |
| }) = left_children | |
| { | |
| *right = Self { | |
| count: left_right.count + right.count, | |
| entries: Vec::new(), | |
| children: Some(Box::new(SelfTimeChildren { | |
| left: take(left_right), | |
| split_point: *split_point, | |
| right: take(right), | |
| spanning_entries: 0, | |
| })), | |
| }; | |
| *split_point = *left_split_point; | |
| self.entries.append(left_entries); | |
| *left = take(left_left); | |
| *spanning_entries = 0; | |
| self.distribute_entries(); | |
| } | |
| } else if *right_count > *left_count * BALANCE_THRESHOLD + *spanning_entries { | |
| // The right side has overweight | |
| // We want to have a new tree that is: | |
| // left' = (left, right.left) with self.split_point | |
| // right' = right.right | |
| // split_point' = right.split_point | |
| // direct entries in self and right are put in self and are redistributed | |
| if let Some(box SelfTimeChildren { | |
| left: right_left, | |
| split_point: right_split_point, | |
| right: right_right, | |
| spanning_entries: _, | |
| }) = right_children | |
| { | |
| *left = Self { | |
| count: left.count + right_left.count, | |
| entries: Vec::new(), | |
| children: Some(Box::new(SelfTimeChildren { | |
| left: take(left), | |
| split_point: *split_point, | |
| right: take(right_left), | |
| spanning_entries: 0, | |
| })), | |
| }; | |
| *split_point = *right_split_point; | |
| self.entries.append(right_entries); | |
| *right = take(right_right); | |
| *spanning_entries = 0; | |
| self.check_for_split(); | |
| } | |
| } | |
| } | |
| } | |
| pub fn lookup_range_count(&self, start: Timestamp, end: Timestamp) -> Timestamp { | |
| let mut total_count = Timestamp::ZERO; | |
| for entry in &self.entries { | |
| if entry.start < end && entry.end > start { | |
| let start = std::cmp::max(entry.start, start); | |
| let end = std::cmp::min(entry.end, end); | |
| let span = end - start; | |
| total_count += span; | |
| } | |
| } | |
| if let Some(children) = &self.children { | |
| if start < children.split_point { | |
| total_count += children.left.lookup_range_count(start, end); | |
| } | |
| if end > children.split_point { | |
| total_count += children.right.lookup_range_count(start, end); | |
| } | |
| } | |
| total_count | |
| } | |
| pub fn lookup_range_corrected_time(&self, start: Timestamp, end: Timestamp) -> Timestamp { | |
| let mut factor_times_1000 = 0u64; | |
| enum Change { | |
| Start, | |
| End, | |
| } | |
| let mut current_count = 0; | |
| let mut changes = Vec::new(); | |
| self.for_each_in_range(start, end, |s, e, _| { | |
| if s <= start { | |
| current_count += 1; | |
| } else { | |
| changes.push((s, Change::Start)); | |
| } | |
| if e < end { | |
| changes.push((e, Change::End)); | |
| } | |
| }); | |
| changes.sort_unstable(); | |
| let mut current_ts = start; | |
| for (ts, change) in changes { | |
| if current_ts < ts { | |
| // Move time | |
| let time_diff = ts - current_ts; | |
| factor_times_1000 += *time_diff * 1000 / current_count; | |
| current_ts = ts; | |
| } | |
| match change { | |
| Change::Start => current_count += 1, | |
| Change::End => current_count -= 1, | |
| } | |
| } | |
| if current_ts < end { | |
| let time_diff = end - current_ts; | |
| factor_times_1000 += *time_diff * 1000 / current_count; | |
| } | |
| Timestamp::from_value(factor_times_1000 / 1000) | |
| } | |
| pub fn for_each_in_range( | |
| &self, | |
| start: Timestamp, | |
| end: Timestamp, | |
| mut f: impl FnMut(Timestamp, Timestamp, &T), | |
| ) { | |
| self.for_each_in_range_ref(start, end, &mut f); | |
| } | |
| fn for_each_in_range_ref( | |
| &self, | |
| start: Timestamp, | |
| end: Timestamp, | |
| f: &mut impl FnMut(Timestamp, Timestamp, &T), | |
| ) { | |
| for entry in &self.entries { | |
| if entry.start < end && entry.end > start { | |
| f(entry.start, entry.end, &entry.item); | |
| } | |
| } | |
| if let Some(children) = &self.children { | |
| if start < children.split_point { | |
| children.left.for_each_in_range_ref(start, end, f); | |
| } | |
| if end > children.split_point { | |
| children.right.for_each_in_range_ref(start, end, f); | |
| } | |
| } | |
| } | |
| } | |
| mod tests { | |
| use super::*; | |
| fn print_tree<T>(tree: &SelfTimeTree<T>, indent: usize) { | |
| if let Some(children) = &tree.children { | |
| println!( | |
| "{}{} items (split at {}, {} overlapping, {} total)", | |
| " ".repeat(indent), | |
| tree.entries.len(), | |
| children.split_point, | |
| children.spanning_entries, | |
| tree.count | |
| ); | |
| print_tree(&children.left, indent + 2); | |
| print_tree(&children.right, indent + 2); | |
| } else { | |
| println!( | |
| "{}{} items ({} total)", | |
| " ".repeat(indent), | |
| tree.entries.len(), | |
| tree.count | |
| ); | |
| } | |
| } | |
| fn assert_balanced<T>(tree: &SelfTimeTree<T>) { | |
| if let Some(children) = &tree.children { | |
| let l = children.left.count; | |
| let r = children.right.count; | |
| let s = children.spanning_entries; | |
| if (l > SPLIT_COUNT || r > SPLIT_COUNT) | |
| && ((l > r * BALANCE_THRESHOLD + s) || (r > l * BALANCE_THRESHOLD + s)) | |
| { | |
| print_tree(tree, 0); | |
| panic!("Tree is not balanced"); | |
| } | |
| assert_balanced(&children.left); | |
| assert_balanced(&children.right); | |
| } | |
| } | |
| fn test_simple() { | |
| let mut tree = SelfTimeTree::new(); | |
| let count = 10000; | |
| for i in 0..count { | |
| tree.insert(Timestamp::from_micros(i), Timestamp::from_micros(i + 1), i); | |
| assert_eq!(tree.count, (i + 1) as usize); | |
| assert_balanced(&tree); | |
| } | |
| assert_eq!( | |
| tree.lookup_range_count(Timestamp::ZERO, Timestamp::from_micros(count)), | |
| Timestamp::from_micros(count) | |
| ); | |
| print_tree(&tree, 0); | |
| assert_balanced(&tree); | |
| } | |
| fn test_evenly() { | |
| let mut tree = SelfTimeTree::new(); | |
| let count = 10000; | |
| for a in 0..10 { | |
| for b in 0..10 { | |
| for c in 0..10 { | |
| for d in 0..10 { | |
| let i = d * 1000 + c * 100 + b * 10 + a; | |
| tree.insert(Timestamp::from_micros(i), Timestamp::from_micros(i + 1), i); | |
| assert_balanced(&tree); | |
| } | |
| } | |
| } | |
| } | |
| assert_eq!( | |
| tree.lookup_range_count(Timestamp::ZERO, Timestamp::from_micros(count)), | |
| Timestamp::from_micros(count) | |
| ); | |
| print_tree(&tree, 0); | |
| assert_balanced(&tree); | |
| } | |
| fn test_overlapping() { | |
| let mut tree = SelfTimeTree::new(); | |
| let count = 10000; | |
| for i in 0..count { | |
| tree.insert( | |
| Timestamp::from_micros(i), | |
| Timestamp::from_micros(i + 100), | |
| i, | |
| ); | |
| assert_eq!(tree.count, (i + 1) as usize); | |
| assert_balanced(&tree); | |
| } | |
| assert_eq!( | |
| tree.lookup_range_count(Timestamp::ZERO, Timestamp::from_micros(count + 100)), | |
| Timestamp::from_micros(count * 100) | |
| ); | |
| print_tree(&tree, 0); | |
| assert_balanced(&tree); | |
| } | |
| fn test_overlapping_heavy() { | |
| let mut tree = SelfTimeTree::new(); | |
| let count = 10000; | |
| for i in 0..count { | |
| tree.insert( | |
| Timestamp::from_micros(i), | |
| Timestamp::from_micros(i + 500), | |
| i, | |
| ); | |
| assert_eq!(tree.count, (i + 1) as usize); | |
| } | |
| assert_eq!( | |
| tree.lookup_range_count(Timestamp::ZERO, Timestamp::from_micros(count + 500)), | |
| Timestamp::from_micros(count * 500) | |
| ); | |
| print_tree(&tree, 0); | |
| assert_balanced(&tree); | |
| } | |
| } | |