zipora 3.1.3

High-performance Rust implementation providing advanced data structures and compression algorithms with memory safety guarantees. Features LRU page cache, sophisticated caching layer, fiber-based concurrency, real-time compression, secure memory pools, SIMD optimizations, and complete C FFI for migration from C++.
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# Building a Search Engine with Zipora

Zipora provides the core building blocks for high-performance search engines: succinct posting lists, compressed document storage, trie-based term dictionaries, SIMD-accelerated query processing, and multi-threaded indexing pipelines.

## Architecture Overview

```
 Documents                    Query
     |                          |
     v                          v
 [Tokenizer]              [Query Parser]
     |                          |
     v                          v
 [Term Dictionary]  --->  [Term Lookup]        DoubleArrayTrie + iter_prefix/iter_fuzzy
     |                          |
     v                          v
 [Inverted Index]  --->  [Posting Lists]       HybridPostingList + advance_to_index
     |                          |
     v                          v
 [SIMD Query]       --->  [BMW / Top-K]        simd_gallop_to + simd_block_filter
     |                          |
     v                          v
 [Doc Lengths]      --->  [BM25 Scoring]       FieldnormEncoder + Bm25BatchScorer
     |                          |
     v                          v
 [Document Store]  --->  [Doc Retrieval]       DictZipBlobStore
     |                          |
     v                          v
 [Compression]            [Encoding]           StreamVByte
```

## 1. Term Dictionary (Trie-based)

Use `DoubleArrayTrie` (double-array trie with XOR transitions) for maximum performance — 8 bytes per state with O(1) transitions per byte. Supports arbitrary binary keys including `\x00` bytes. For large vocabularies, it's 3-5x more memory-efficient than `HashMap<String, u32>` while providing faster lookups.

```rust
use zipora::DoubleArrayTrie;

// Build term dictionary during indexing
let mut dict = DoubleArrayTrie::new();

for term in terms.iter() {
    dict.insert(term.as_bytes()).unwrap();
}

// Query-time lookup: O(|key|) with O(1) per-byte transitions
assert!(dict.contains(b"search"));

// For key-value storage (term → term_id)
// DoubleArrayTrieMap<V> requires V: MapValue (configurable sentinel for zero-cost Option<V> elimination)
// Built-in impls: i32 (MIN), u32 (MAX), i64 (MIN), u64 (MAX), usize (MAX)
use zipora::DoubleArrayTrieMap;
let mut term_ids: DoubleArrayTrieMap<u32> = DoubleArrayTrieMap::new();
for (term_id, term) in terms.iter().enumerate() {
    term_ids.insert(term.as_bytes(), term_id as u32).unwrap();
}
let id = term_ids.get(b"search");
```

`DoubleArrayTrieMap<V>` uses the `MapValue` trait with a compile-time sentinel constant instead of `Option<V>`, halving the values array memory footprint for primitive types (e.g., 4 bytes vs 8 bytes per slot for `i32`). The sentinel is monomorphized to a single `cmp` instruction — zero runtime cost.

### Lazy Prefix & Fuzzy Iterators

`DoubleArrayTrieMap` provides lazy iterators that yield results one at a time without collecting into a `Vec`, preventing memory spikes on broad queries:

```rust
use zipora::DoubleArrayTrieMap;

let mut trie: DoubleArrayTrieMap<u32> = DoubleArrayTrieMap::new();
// ... insert terms ...

// Lazy prefix iteration — DFS with explicit stack, no Vec allocation
// Yields all key-value pairs whose key starts with the given prefix
for (key, term_id) in trie.iter_prefix(b"search") {
    println!("term: {:?}, id: {}", key, term_id);
}

// Early termination — only materializes what you consume
let top5: Vec<_> = trie.iter_prefix(b"s").take(5).collect();

// Lazy fuzzy iteration — incremental Levenshtein with subtree pruning
// Yields all keys within edit distance `max_dist` of the query
for (key, term_id) in trie.iter_fuzzy(b"serch", 1) {
    // Finds "search" (1 insertion) and other terms within distance 1
    println!("fuzzy match: {:?}, id: {}", key, term_id);
}
```

For alternative trie strategies (LOUDS, Patricia, CritBit), use `ZiporaTrie` with explicit config. For compressed term storage with prefix sharing, use `NestLoudsTrieBlobStore`.

## 2. Inverted Index (Posting Lists)

Choose the right container based on posting list characteristics:

```rust
use zipora::containers::{UintVecMin0, ZipIntVec};
use zipora::blob_store::SortedUintVec;
use zipora::BitVector;

// Option A: UintVecMin0 — variable-width packed integers (2-58 bits per value)
// Best for: medium-length posting lists with bounded doc IDs
let mut postings = UintVecMin0::new();
for doc_id in matching_docs {
    postings.push(doc_id);
}
// Access: postings.get(i) — O(1), cache-friendly sequential layout

// Option B: SortedUintVec — delta + block compression for sorted doc IDs
// Best for: long posting lists (60-80% space reduction vs raw u32)

// Option C: BitVector + RankSelect — bitmap representation
// Best for: high-frequency terms (>10% of docs), boolean queries
let mut bitmap = BitVector::new();
for i in 0..num_docs {
    bitmap.push(doc_ids.contains(&i)).unwrap();
}
```

## 3. Boolean Query Processing (Set Operations)

SIMD-accelerated set operations on posting lists — **up to 41x faster** than element-by-element processing for bitwise operations.

```rust
use zipora::algorithms::set_ops::{
    multiset_intersection,   // AND queries
    multiset_union,          // OR queries
    multiset_difference,     // NOT queries
    multiset_fast_intersection, // adaptive: picks best algo by size ratio
};

// AND query: "rust" AND "search"
let result = multiset_intersection(&postings_rust, &postings_search);

// For skewed sizes (one term rare, one common), use adaptive intersection
// Automatically picks linear merge vs binary search based on |A|/|B| ratio
let result = multiset_fast_intersection(&rare_term, &common_term);

// Bulk bitwise on rank/select bitvectors (41x faster with SIMD)
use zipora::AdaptiveRankSelect;
let rs = AdaptiveRankSelect::new(bitmap).unwrap();
let rank = rs.rank1(doc_id);   // count docs before this ID — O(1)
let pos = rs.select1(rank);    // find N-th matching doc — O(log n)
```

## 4. Document Storage (Compressed Blob Stores)

Store and retrieve documents with dictionary compression (PA-Zip):

```rust
use zipora::DictZipBlobStore;
use zipora::blob_store::{MixedLenBlobStore, PlainBlobStore, BlobStore};

// DictZipBlobStore: best compression for similar documents (web pages, logs)
// Learns a shared dictionary from training data, then compresses each record
let store = DictZipBlobStore::builder()
    .build_from_records(&documents)
    .unwrap();

// Retrieve: zero-copy access via mmap
let doc = store.get(doc_id).unwrap();

// MixedLenBlobStore: optimal for mixed fixed/variable-length records
// Automatically selects storage strategy based on record size distribution

// PlainBlobStore: uncompressed, fastest retrieval for hot data
```

## 5. Entropy Coding (Posting List Compression)

Compress posting list deltas with Huffman or rANS:

```rust
use zipora::HuffmanEncoder;
use zipora::Rans64Encoder;

// Huffman O0: simple, fast encoding (1.1 µs per 65KB)
let encoder = HuffmanEncoder::new(&training_data).unwrap();
let compressed = encoder.encode(&delta_encoded_postings).unwrap();

// Huffman O1: context-aware, better compression for structured data
// Particularly effective for posting list deltas with skewed distributions

// rANS: highest compression ratio, slightly slower
let rans = Rans64Encoder::new(&training_data).unwrap();
let compressed = rans.encode(&data).unwrap();
```

## 6. Multi-threaded Indexing

Parallelize index building with rayon and zipora's pipeline processing:

```rust
use rayon::prelude::*;
use zipora::algorithms::MultiWayMerge;

// Parallel document processing: each thread builds a segment
let segments: Vec<_> = document_batches
    .par_iter()
    .map(|batch| {
        let mut segment_index = SegmentIndex::new();
        for doc in batch {
            let terms = tokenize(doc);
            for term in terms {
                segment_index.add(term, doc.id);
            }
        }
        segment_index
    })
    .collect();

// Merge segments using k-way merge (loser tree)
use zipora::EnhancedLoserTree;
// EnhancedLoserTree provides O(log k) per element for k-way merge
// Ideal for merging sorted posting lists from parallel index segments
```

For async pipeline processing (requires `async` feature):

```rust
use zipora::Pipeline;
// Pipeline stages: parse → tokenize → index → compress → flush
// Each stage runs concurrently with work-stealing load balancing
```

## 7. Memory-Mapped Index Files

Serve large indices directly from disk without loading into RAM:

```rust
use zipora::memory::MmapVec;

// Memory-map an index file — OS manages paging
let index: MmapVec<u32> = MmapVec::open("postings.idx").unwrap();

// Random access is backed by the page cache
let doc_id = index[position];

// For blob stores, use mmap-backed storage
// DictZipBlobStore and NestLoudsTrieBlobStore support mmap natively
```

## 8. Query Result Caching

LRU cache for frequently accessed posting lists — **26x faster** hot-set retrieval vs HashMap:

```rust
use zipora::containers::specialized::LruMap;

// Cache hot posting lists
let mut cache: LruMap<String, Vec<u32>> = LruMap::new(1024);

fn get_postings(term: &str, cache: &mut LruMap<String, Vec<u32>>) -> Vec<u32> {
    if let Some(cached) = cache.get(term) {
        return cached.clone(); // 26x faster than HashMap for hot keys
    }
    let postings = load_from_disk(term);
    cache.insert(term.to_string(), postings.clone());
    postings
}
```

## 9. String Processing for Tokenization

```rust
use zipora::SortableStrVec;
use zipora::string::{decimal_strcmp, words};

// Arena-based string storage: 7.8x faster than Vec<String> for push (100K strings)
let mut terms = SortableStrVec::new();
for token in document.split_whitespace() {
    terms.push(token);
}
terms.sort(); // In-place sort, 1.15x faster than Vec<String>::sort

// For small lookup tables (field names, stop words), SmallMap is 3.8x faster
use zipora::SmallMap;
let mut stop_words = SmallMap::new();
stop_words.insert("the", true);
stop_words.insert("and", true);
```

## 10. BM25 Scoring (Document Length Normalization)

Compact doc-length storage with pre-computed BM25 scoring — **13.5x faster** than UintVecMin0 + float math, **2x smaller** memory footprint.

`FieldnormEncoder` uses Lucene-compatible SmallFloat encoding to compress document lengths into a single byte (3-bit mantissa + 5-bit exponent, same as Lucene/Tantivy). A 256-entry `[f32; 256]` norm table eliminates per-posting float division entirely. `Bm25BatchScorer` processes 8 postings per iteration with AVX2 SIMD.

```rust
use zipora::scoring::{FieldnormEncoder, Bm25BatchScorer};

// Index time: encode doc lengths to single bytes (1 byte/doc vs 2+ bytes for raw u16)
let doc_lengths = vec![50u32, 100, 150, 200, 300];
let fieldnorm_bytes: Vec<u8> = doc_lengths.iter()
    .map(|&l| FieldnormEncoder::encode(l))
    .collect();

// Build time: pre-compute BM25 norm table (256 floats, done once per segment)
let avg_dl = doc_lengths.iter().sum::<u32>() as f32 / doc_lengths.len() as f32;
let norm_table = FieldnormEncoder::build_norm_table(avg_dl, /*k1=*/1.2, /*b=*/0.75);

// Query time: batch-score a posting list (AVX2 SIMD, 8 scores per iteration)
let idf = 3.5f32;
let scorer = Bm25BatchScorer::new(&norm_table, idf, /*k1=*/1.2);
let tfs = vec![2u16, 3, 1, 5, 2];
let mut scores = vec![0.0f32; tfs.len()];
scorer.batch_score(&fieldnorm_bytes, &tfs, &mut scores);

// Phrase queries: single-doc scoring with next-doc prefetch
let score = scorer.score_with_prefetch(&fieldnorm_bytes, /*doc_id=*/42, /*tf=*/3, Some(100));

// Full 2D score table for quantized TF values (eliminates ALL query-time math)
let score_table = FieldnormEncoder::build_score_table(avg_dl, 1.2, 0.75, idf, /*max_tf=*/255);
let precomputed = score_table[3][fieldnorm_bytes[0] as usize]; // score(tf=3, doc=0)
```

**Engine benchmark results** (replaces `UintVecMin0` for doc-length storage):

| Metric | UintVecMin0 (old) | FieldnormEncoder (new) | Improvement |
|--------|-------------------|------------------------|-------------|
| Memory (1M docs) | 1.13 MB | **1.00 MB** | **2.0x smaller** |
| Random access (1M) | 190 µs | **92 µs** | **2.06x faster** |
| BM25 pre-compute (1M) | 5.13 ms | **381 µs** (SIMD) | **13.5x faster** |
| Phrase query scoring (1K random) | 3.63 µs | **1.22 µs** | **2.98x faster** |

## 11. SIMD Cursor Primitives (Block-Max WAND)

SIMD-accelerated primitives designed for Block-Max WAND (BMW) query execution — the core algorithm behind top-K ranked retrieval in modern search engines.

```rust
use zipora::algorithms::{simd_gallop_to, simd_block_filter};

// SIMD galloping search — advances cursor to first position where arr[cursor] >= target
// 3-phase: exponential search → AVX2/SSE2 SIMD scan → scalar tail
// Replaces scalar binary_search/while loops in cursor advance operations
let sorted_doc_ids: Vec<u32> = (0..10000).step_by(3).collect();
let mut cursor = 0usize;
let found = simd_gallop_to(&sorted_doc_ids, &mut cursor, 500);
assert!(found);
assert!(sorted_doc_ids[cursor] >= 500);
// Cursor maintains position — subsequent calls resume from current position
let found = simd_gallop_to(&sorted_doc_ids, &mut cursor, 1000);

// SIMD block filter — threshold filter for BMW block scoring
// Returns (bitmask, count) where bit i is set if scores[i] > theta
// Processes 8 f32s per iteration with AVX2, up to 64 elements per block
let doc_ids: Vec<u32> = (0..64).collect();
let scores: Vec<f32> = (0..64).map(|i| i as f32 * 0.1).collect();
let theta = 3.0f32;
let (bitmask, count) = simd_block_filter(&doc_ids, &scores, theta);

// Iterate only over qualifying documents (set bits in bitmask)
for bit_pos in 0..64 {
    if bitmask & (1u64 << bit_pos) != 0 {
        // doc_ids[bit_pos] has score > theta — push to Top-K heap
    }
}
```

### Elias-Fano Cursor `advance_to_index`

All three EF cursor types (`EliasFanoCursor`, `PartitionedEliasFanoCursor`, `OptimalPefCursor`) support `advance_to_index(idx)` for O(log n) random repositioning — essential for BMW's `skip_to_qualifying_block` operation:

```rust
use zipora::succinct::EliasFano;

let values = vec![10, 20, 50, 100, 200, 500, 1000];
let ef = EliasFano::from_sorted(&values);
let mut cursor = ef.cursor();

// Jump directly to index 4 (value 200) — O(log n) via select1
cursor.advance_to_index(4);
assert_eq!(cursor.current(), Some(200));

// Continue forward iteration from new position
cursor.advance();
assert_eq!(cursor.current(), Some(500));

// Backward jumps also supported (reposition to any index)
cursor.advance_to_index(1);
assert_eq!(cursor.current(), Some(20));
```

## Component Selection Guide

| Search Engine Component | Zipora Type | When to Use |
|------------------------|-------------|-------------|
| Term dictionary | `DoubleArrayTrie` | Default choice, 8 bytes/state, XOR transitions |
| Term dictionary (alternatives) | `ZiporaTrie` | LOUDS/Patricia/CritBit via config |
| Short posting lists | `UintVecMin0` | Variable-width, <1M doc IDs |
| Long posting lists | `SortedUintVec` | Delta-compressed sorted IDs |
| Compressed posting lists | `HybridPostingList` | Auto-selects: Dense/EF/Partitioned/Optimal by list size |
| Rank/Select (large bitvecs) | `Rank9` | O(1) rank, O(log n) select, 25% overhead, hardware-independent |
| Boolean posting lists | `BitVector` + `AdaptiveRankSelect` | High-frequency terms, bitwise ops |
| AND/OR/NOT queries | `set_ops::multiset_*` | Sorted posting list intersection |
| BMW cursor advance | `simd_gallop_to` | SIMD exponential search, AVX2/SSE2, replaces scalar galloping |
| BMW block scoring | `simd_block_filter` | SIMD threshold filter, up to 64 docs/block, AVX2 |
| EF cursor reposition | `advance_to_index` | O(log n) random jump on EF/PEF/OPEF cursors |
| Prefix autocomplete | `DoubleArrayTrieMap::iter_prefix` | Lazy DFS, no Vec allocation, supports early termination |
| Fuzzy term lookup | `DoubleArrayTrieMap::iter_fuzzy` | Lazy Levenshtein, subtree pruning, configurable max distance |
| Bulk bitwise queries | SIMD rank/select | 10-41x faster than scalar |
| Doc-length storage | `FieldnormEncoder` | 1-byte fieldnorms, replaces UintVecMin0, 2x smaller |
| BM25 scoring | `Bm25BatchScorer` | AVX2 SIMD batch (13.5x faster), prefetch for phrase queries |
| BM25 score table | `FieldnormEncoder::build_score_table` | Full 2D precomputed scores, zero query-time math |
| Document storage | `DictZipBlobStore` | Best compression for similar docs |
| Document storage (fast) | `PlainBlobStore` | Uncompressed, fastest retrieval |
| Posting compression | `HuffmanEncoder` | Fast encode/decode |
| Posting compression | `Rans64Encoder` | Best compression ratio |
| Query cache | `LruMap` | 26x faster hot-set access |
| Small lookups | `SmallMap` | 3.8x faster for ≤8 keys |
| String storage | `SortableStrVec` / `FixedStr16Vec` | Arena-based, 7.8x vs Vec\<String\> |
| Index files | `MmapVec` | Disk-backed, OS-managed paging |
| Segment merge | `MultiWayMerge` / `EnhancedLoserTree` | K-way merge of sorted lists |
| Parallel indexing | `rayon` + `Pipeline` | Multi-threaded segment building |