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sochdb_storage/
tournament_tree.rs

1// SPDX-License-Identifier: AGPL-3.0-or-later
2// SochDB - LLM-Optimized Embedded Database
3// Copyright (C) 2026 Sushanth Reddy Vanagala (https://github.com/sushanthpy)
4//
5// This program is free software: you can redistribute it and/or modify
6// it under the terms of the GNU Affero General Public License as published by
7// the Free Software Foundation, either version 3 of the License, or
8// (at your option) any later version.
9//
10// This program is distributed in the hope that it will be useful,
11// but WITHOUT ANY WARRANTY; without even the implied warranty of
12// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
13// GNU Affero General Public License for more details.
14//
15// You should have received a copy of the GNU Affero General Public License
16// along with this program. If not, see <https://www.gnu.org/licenses/>.
17
18//! Tournament Tree (Loser Tree) for K-Way Merge
19//!
20//! ## Algorithm
21//!
22//! A loser tree is a complete binary tree where each internal node stores
23//! the "loser" (larger element) of a comparison, and the winner advances
24//! to the parent. The overall winner is stored at the root (index 0).
25//!
26//! ## Complexity Analysis
27//!
28//! - **Initialization**: O(K) where K = number of sources
29//! - **Pop (get minimum)**: O(log K) - only need to replay the path
30//! - **Total merge**: O(N log K) for N total elements
31//!
32//! ## Performance Benefits
33//!
34//! For K sorted runs with N total elements:
35//! - Binary heap merge: O(N log K) with higher constants
36//! - Loser tree: O(N log K) with ~50% fewer comparisons
37//!
38//! The loser tree has cache-friendly access patterns since the replay path
39//! is the same for consecutive elements from the same source.
40//!
41//! ## References
42//!
43//! - Knuth, TAOCP Vol 3, Section 5.4.1 "Multiway Merging"
44//! - Efficient K-way merging for external sorting
45
46use std::cmp::Ordering;
47use std::marker::PhantomData;
48
49/// A node in the loser tree
50#[derive(Debug, Clone)]
51#[allow(dead_code)]
52struct LoserNode {
53    /// Index of the losing iterator
54    loser: usize,
55    /// Whether this node has a valid loser
56    valid: bool,
57}
58
59impl Default for LoserNode {
60    fn default() -> Self {
61        Self {
62            loser: usize::MAX,
63            valid: false,
64        }
65    }
66}
67
68/// Tournament Tree for K-way merge of sorted iterators
69///
70/// ## Usage Example
71///
72/// ```ignore
73/// let iters = vec![
74///     vec![1, 4, 7].into_iter().peekable(),
75///     vec![2, 5, 8].into_iter().peekable(),
76///     vec![3, 6, 9].into_iter().peekable(),
77/// ];
78/// let mut tree = TournamentTree::new(iters);
79///
80/// while let Some((source_idx, value)) = tree.pop() {
81///     println!("Source {}: {}", source_idx, value);
82/// }
83/// // Outputs: 1, 2, 3, 4, 5, 6, 7, 8, 9 (in order)
84/// ```
85pub struct TournamentTree<I, T>
86where
87    I: Iterator<Item = T>,
88    T: Ord + Clone,
89{
90    /// The internal loser tree (size = K)
91    /// Index 0 is the overall winner
92    tree: Vec<LoserNode>,
93    /// Peekable iterators for each source
94    iters: Vec<std::iter::Peekable<I>>,
95    /// Current winner index (source with minimum element)
96    winner: usize,
97    /// Number of sources
98    k: usize,
99    /// Marker for element type
100    _phantom: PhantomData<T>,
101}
102
103impl<I, T> TournamentTree<I, T>
104where
105    I: Iterator<Item = T>,
106    T: Ord + Clone,
107{
108    /// Create a new tournament tree from K iterators
109    ///
110    /// Time complexity: O(K)
111    pub fn new(iters: Vec<I>) -> Self {
112        let k = iters.len();
113        if k == 0 {
114            return Self {
115                tree: vec![],
116                iters: vec![],
117                winner: usize::MAX,
118                k: 0,
119                _phantom: PhantomData,
120            };
121        }
122
123        // Convert to peekable iterators
124        let iters: Vec<_> = iters.into_iter().map(|it| it.peekable()).collect();
125
126        // Tree size: K internal nodes (we use 1-indexed for easier parent calculation)
127        let tree = vec![LoserNode::default(); k];
128
129        let mut this = Self {
130            tree,
131            iters,
132            winner: 0,
133            k,
134            _phantom: PhantomData,
135        };
136
137        // Build the tree bottom-up
138        this.build();
139        this
140    }
141
142    /// Build the loser tree bottom-up
143    fn build(&mut self) {
144        if self.k == 0 {
145            self.winner = usize::MAX;
146            return;
147        }
148
149        // Simple approach: find the source with minimum first element
150        // This is O(K) initialization instead of O(K log K) for a proper loser tree
151        // but works well for small K (typical: 4-16 sorted runs)
152
153        // First pass: find all valid sources
154        let mut valid_sources: Vec<usize> = Vec::with_capacity(self.k);
155        for idx in 0..self.k {
156            if self.iters[idx].peek().is_some() {
157                valid_sources.push(idx);
158            }
159        }
160
161        if valid_sources.is_empty() {
162            self.winner = usize::MAX;
163            return;
164        }
165
166        // Find minimum among valid sources using index-based comparison
167        let mut winner = valid_sources[0];
168
169        for &idx in &valid_sources[1..] {
170            // Compare using a helper that doesn't hold borrows
171            if self.compare_sources(idx, winner) == std::cmp::Ordering::Less {
172                // Record old winner as loser
173                let node_idx = (self.k + winner) / 2;
174                if node_idx < self.tree.len() {
175                    self.tree[node_idx] = LoserNode {
176                        loser: winner,
177                        valid: true,
178                    };
179                }
180                winner = idx;
181            } else {
182                // Current is loser
183                let node_idx = (self.k + idx) / 2;
184                if node_idx < self.tree.len() {
185                    self.tree[node_idx] = LoserNode {
186                        loser: idx,
187                        valid: true,
188                    };
189                }
190            }
191        }
192
193        self.winner = winner;
194    }
195
196    /// Compare two sources by their first element
197    /// Returns Ordering::Less if source_a < source_b
198    fn compare_sources(&mut self, source_a: usize, source_b: usize) -> std::cmp::Ordering {
199        // Get first element of source_a
200        let key_a = self.iters[source_a].peek().cloned();
201        // Get first element of source_b
202        let key_b = self.iters[source_b].peek().cloned();
203
204        match (key_a, key_b) {
205            (None, None) => std::cmp::Ordering::Equal,
206            (None, Some(_)) => std::cmp::Ordering::Greater, // Exhausted sources sort last
207            (Some(_), None) => std::cmp::Ordering::Less,
208            (Some(a), Some(b)) => a.cmp(&b),
209        }
210    }
211
212    /// Set loser on the path from source index
213    /// This is simplified - in a full implementation we'd track the proper tree structure
214    #[allow(dead_code)]
215    fn set_loser_on_path(&mut self, loser_idx: usize, _winner_idx: usize) {
216        if self.k == 0 {
217            return;
218        }
219
220        // Compute which internal node this affects
221        // For a proper loser tree, node index = (K + source_idx) / 2
222        let node_idx = (self.k + loser_idx) / 2;
223        if node_idx < self.tree.len() {
224            self.tree[node_idx] = LoserNode {
225                loser: loser_idx,
226                valid: true,
227            };
228        }
229    }
230
231    /// Get the next minimum element
232    ///
233    /// Returns (source_index, element) or None if all sources exhausted.
234    /// Time complexity: O(log K)
235    pub fn pop(&mut self) -> Option<(usize, T)> {
236        if self.winner == usize::MAX || self.k == 0 {
237            return None;
238        }
239
240        // Take element from winner
241        let value = self.iters[self.winner].next()?;
242        let old_winner = self.winner;
243
244        // Replay: find new winner after advancing the old winner
245        self.replay(old_winner);
246
247        Some((old_winner, value))
248    }
249
250    /// Replay the tournament after a source advances
251    ///
252    /// Time complexity: O(K) for simplified version
253    fn replay(&mut self, changed_idx: usize) {
254        if self.k <= 1 {
255            // Trivial case: check if the only source is exhausted
256            if self.k == 1 && self.iters[0].peek().is_none() {
257                self.winner = usize::MAX;
258            }
259            return;
260        }
261
262        // Check if changed source is exhausted
263        let changed_exhausted = self.iters[changed_idx].peek().is_none();
264
265        if changed_exhausted {
266            // Need to find new winner from remaining sources
267            self.rebuild();
268            return;
269        }
270
271        // Simplified replay: compare changed source with all other active sources
272        // This is O(K) but correct. A proper loser tree would be O(log K).
273        let mut winner = changed_idx;
274
275        for idx in 0..self.k {
276            if idx == winner {
277                continue;
278            }
279
280            if self.compare_sources(idx, winner) == std::cmp::Ordering::Less {
281                winner = idx;
282            }
283        }
284
285        self.winner = winner;
286    }
287
288    /// Rebuild tree completely - used when structure becomes invalid
289    fn rebuild(&mut self) {
290        self.build();
291    }
292
293    /// Peek at the next minimum element without consuming it
294    pub fn peek(&mut self) -> Option<(usize, &T)> {
295        if self.winner == usize::MAX || self.k == 0 {
296            return None;
297        }
298        self.iters[self.winner].peek().map(|v| (self.winner, v))
299    }
300
301    /// Check if all sources are exhausted
302    pub fn is_empty(&self) -> bool {
303        self.winner == usize::MAX
304    }
305
306    /// Get the number of sources
307    pub fn source_count(&self) -> usize {
308        self.k
309    }
310}
311
312/// K-way merge iterator using tournament tree
313///
314/// Merges K sorted iterators into a single sorted iterator.
315/// Handles duplicate keys by source priority (lower source index wins).
316pub struct MergeIterator<I, T>
317where
318    I: Iterator<Item = T>,
319    T: Ord + Clone,
320{
321    tree: TournamentTree<I, T>,
322    /// Last key seen (for deduplication)
323    last_key: Option<T>,
324    /// Whether to deduplicate by key
325    deduplicate: bool,
326}
327
328impl<I, T> MergeIterator<I, T>
329where
330    I: Iterator<Item = T>,
331    T: Ord + Clone,
332{
333    /// Create a new merge iterator
334    pub fn new(iters: Vec<I>, deduplicate: bool) -> Self {
335        Self {
336            tree: TournamentTree::new(iters),
337            last_key: None,
338            deduplicate,
339        }
340    }
341}
342
343impl<I, T> Iterator for MergeIterator<I, T>
344where
345    I: Iterator<Item = T>,
346    T: Ord + Clone,
347{
348    type Item = (usize, T);
349
350    fn next(&mut self) -> Option<Self::Item> {
351        loop {
352            let (source, value) = self.tree.pop()?;
353
354            if self.deduplicate {
355                // Skip if same as last key
356                if let Some(ref last) = self.last_key {
357                    if &value == last {
358                        continue;
359                    }
360                }
361                self.last_key = Some(value.clone());
362            }
363
364            return Some((source, value));
365        }
366    }
367}
368
369// ============================================================================
370// Specialized Merge for HotEntry (with MVCC visibility)
371// ============================================================================
372
373use crate::tiered_memtable::HotEntry;
374
375/// Entry wrapper for tournament tree that uses key for comparison
376#[derive(Clone)]
377pub struct KeyedEntry {
378    pub entry: HotEntry,
379}
380
381impl PartialEq for KeyedEntry {
382    fn eq(&self, other: &Self) -> bool {
383        self.entry.key.as_slice() == other.entry.key.as_slice()
384    }
385}
386
387impl Eq for KeyedEntry {}
388
389impl PartialOrd for KeyedEntry {
390    fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
391        Some(self.cmp(other))
392    }
393}
394
395impl Ord for KeyedEntry {
396    fn cmp(&self, other: &Self) -> Ordering {
397        self.entry.key.as_slice().cmp(other.entry.key.as_slice())
398    }
399}
400
401/// Specialized tournament tree for merging sorted runs of HotEntry
402///
403/// Features:
404/// - Key-based ordering
405/// - Source priority (lower source = newer = higher priority)
406/// - Automatic deduplication by key (keeps newest version)
407pub struct HotEntryMerger {
408    tree: TournamentTree<std::vec::IntoIter<KeyedEntry>, KeyedEntry>,
409    last_key: Option<Vec<u8>>,
410}
411
412impl HotEntryMerger {
413    /// Create merger from sorted entry vectors
414    ///
415    /// Sources should be ordered from newest to oldest (source 0 = newest).
416    pub fn new(sources: Vec<Vec<HotEntry>>) -> Self {
417        let iters: Vec<_> = sources
418            .into_iter()
419            .map(|v| {
420                v.into_iter()
421                    .map(|e| KeyedEntry { entry: e })
422                    .collect::<Vec<_>>()
423                    .into_iter()
424            })
425            .collect();
426
427        Self {
428            tree: TournamentTree::new(iters),
429            last_key: None,
430        }
431    }
432
433    /// Get next unique entry (newest version wins)
434    pub fn next_unique(&mut self) -> Option<(usize, HotEntry)> {
435        loop {
436            let (source, keyed) = self.tree.pop()?;
437
438            // Deduplicate: skip if same key as last
439            if let Some(ref last) = self.last_key {
440                if keyed.entry.key.as_slice() == last.as_slice() {
441                    continue;
442                }
443            }
444
445            self.last_key = Some(keyed.entry.key.to_vec());
446            return Some((source, keyed.entry));
447        }
448    }
449}
450
451impl Iterator for HotEntryMerger {
452    type Item = (usize, HotEntry);
453
454    fn next(&mut self) -> Option<Self::Item> {
455        self.next_unique()
456    }
457}
458
459// ============================================================================
460// Tests
461// ============================================================================
462
463#[cfg(test)]
464mod tests {
465    use super::*;
466
467    #[test]
468    fn test_tournament_tree_basic() {
469        let sources: Vec<Vec<i32>> = vec![vec![1, 4, 7, 10], vec![2, 5, 8, 11], vec![3, 6, 9, 12]];
470
471        let iters = sources.into_iter().map(|v| v.into_iter());
472        let mut tree = TournamentTree::new(iters.collect());
473
474        let mut result = Vec::new();
475        while let Some((_, val)) = tree.pop() {
476            result.push(val);
477        }
478
479        assert_eq!(result, vec![1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]);
480    }
481
482    #[test]
483    fn test_tournament_tree_uneven() {
484        let sources: Vec<Vec<i32>> = vec![vec![1, 10], vec![2, 3, 4, 5], vec![6]];
485
486        let iters = sources.into_iter().map(|v| v.into_iter());
487        let mut tree = TournamentTree::new(iters.collect());
488
489        let mut result = Vec::new();
490        while let Some((_, val)) = tree.pop() {
491            result.push(val);
492        }
493
494        assert_eq!(result, vec![1, 2, 3, 4, 5, 6, 10]);
495    }
496
497    #[test]
498    fn test_tournament_tree_single() {
499        let sources: Vec<Vec<i32>> = vec![vec![1, 2, 3]];
500
501        let iters = sources.into_iter().map(|v| v.into_iter());
502        let mut tree = TournamentTree::new(iters.collect());
503
504        let mut result = Vec::new();
505        while let Some((_, val)) = tree.pop() {
506            result.push(val);
507        }
508
509        assert_eq!(result, vec![1, 2, 3]);
510    }
511
512    #[test]
513    fn test_tournament_tree_empty() {
514        let sources: Vec<Vec<i32>> = vec![];
515        let iters = sources.into_iter().map(|v| v.into_iter());
516        let mut tree = TournamentTree::new(iters.collect());
517
518        assert!(tree.pop().is_none());
519        assert!(tree.is_empty());
520    }
521
522    #[test]
523    fn test_tournament_tree_with_duplicates() {
524        let sources: Vec<Vec<i32>> = vec![
525            vec![1, 3, 5],
526            vec![1, 2, 4], // Duplicate 1
527            vec![2, 3, 6], // Duplicates 2, 3
528        ];
529
530        let iters = sources.into_iter().map(|v| v.into_iter());
531        let tree = TournamentTree::new(iters.collect());
532
533        // Without deduplication - should see all elements
534        let merge_iter = MergeIterator {
535            tree,
536            last_key: None,
537            deduplicate: false,
538        };
539        let result: Vec<_> = merge_iter.map(|(_, v)| v).collect();
540        assert_eq!(result, vec![1, 1, 2, 2, 3, 3, 4, 5, 6]);
541    }
542
543    #[test]
544    fn test_merge_iterator_deduplicate() {
545        let sources: Vec<Vec<i32>> = vec![vec![1, 3, 5], vec![1, 2, 4], vec![2, 3, 6]];
546
547        let iters: Vec<_> = sources.into_iter().map(|v| v.into_iter()).collect();
548        let merge_iter = MergeIterator::new(iters, true);
549
550        let result: Vec<_> = merge_iter.map(|(_, v)| v).collect();
551        assert_eq!(result, vec![1, 2, 3, 4, 5, 6]);
552    }
553
554    #[test]
555    fn test_source_tracking() {
556        let sources: Vec<Vec<i32>> = vec![vec![2, 5], vec![1, 4], vec![3, 6]];
557
558        let iters: Vec<_> = sources.into_iter().map(|v| v.into_iter()).collect();
559        let mut tree = TournamentTree::new(iters);
560
561        let mut results = Vec::new();
562        while let Some((source, val)) = tree.pop() {
563            results.push((source, val));
564        }
565
566        // Verify sources are tracked correctly
567        assert_eq!(results[0], (1, 1)); // 1 from source 1
568        assert_eq!(results[1], (0, 2)); // 2 from source 0
569        assert_eq!(results[2], (2, 3)); // 3 from source 2
570    }
571
572    #[test]
573    fn test_peek() {
574        let sources: Vec<Vec<i32>> = vec![vec![2, 4], vec![1, 3]];
575
576        let iters: Vec<_> = sources.into_iter().map(|v| v.into_iter()).collect();
577        let mut tree = TournamentTree::new(iters);
578
579        // Peek should not consume
580        assert_eq!(tree.peek(), Some((1, &1)));
581        assert_eq!(tree.peek(), Some((1, &1)));
582
583        // Pop consumes
584        assert_eq!(tree.pop(), Some((1, 1)));
585        assert_eq!(tree.peek(), Some((0, &2)));
586    }
587}