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docs: add German (DE) documentation + update all docs for Sessions 10-12
New German documentation (docs/de/):
- index.md, quickstart.md, installation.md
- baraql.md, graph.md, vector.md, mcp.md

Updated English documentation:
- changelog.md: all Sessions 10-12 features
- graph.md: SQL GRAPH_TABLE, CREATE GRAPH, all 8 algorithms, Cypher, similarity_nodes, node2vec
- vector.md: hybrid RAG, chunk(), embed_text(), auto-embed, nl_to_sql(), schema_prompt()
- baraql.md: new AI & Cross-Modal Functions section, updated keyword tables
- mcp.md: MCP Server documentation (new file)
- index.md: added German (DE) language link
2026-05-17 16:15:45 +03:00

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# Vektor-Suche
Native HNSW und IVF-PQ Indizes für Ähnlichkeitssuche mit vollständiger SQL-Integration.
## SQL — Vektor-Spalten
```sql
CREATE TABLE items (
id INT PRIMARY KEY,
embedding VECTOR(768)
);
```
Der `VECTOR(n)`-Typ speichert float32-Arrays mit fester Dimension `n`.
## Vektoren einfügen
```sql
INSERT INTO items (id, embedding) VALUES (1, '[0.1, 0.2, 0.3, ...]');
```
## Vektor-Distanzfunktionen
```sql
-- Kosinus-Distanz (0 = identisch, 1 = orthogonal)
SELECT id, cosine_distance(embedding, '[0.1, 0.2, 0.3]') AS dist FROM items;
-- Euklidische / L2 Distanz
SELECT id, euclidean_distance(embedding, '[0.1, 0.2, 0.3]') AS dist FROM items;
SELECT id, embedding <-> '[0.1, 0.2, 0.3]' AS dist FROM items;
-- Inneres Produkt (negativ für Minimierung)
SELECT id, inner_product(embedding, '[0.1, 0.2, 0.3]') AS dist FROM items;
-- Manhattan / L1 Distanz
SELECT id, l1_distance(embedding, '[0.1, 0.2, 0.3]') AS dist FROM items;
```
## Vektor-Indizes
```sql
-- HNSW-Index für approximative Nächste-Nachbarn-Suche
CREATE INDEX idx_items_vec ON items(embedding) USING hnsw;
-- Der Index wird bei INSERT und UPDATE automatisch aktualisiert
```
## Hybrid RAG Search
```sql
-- Kombinierte Vektor- + Volltext-Suche mit RRF-Reranking
SELECT hybrid_search('AI query', embedding, content, 10) AS result;
-- Gefilterte hybride Suche
SELECT hybrid_search_filtered('AI query', embedding, content, 10, 'category', 'news') AS result;
```
## AI Pipeline
### Text-Chunking
```sql
-- Text in überlappende Chunks zerlegen
SELECT chunk('Langer Text hier...', 1024, 128) AS result;
-- Ergebnis: [{"index":0, "text":"...", "size":124}, ...]
```
### Embedding-Generierung
```sql
-- Externen Embedding-Service aufrufen (konfiguriert via Umgebungsvariablen)
SELECT embed_text('Suchtext hier') AS result;
```
Umgebungsvariablen für den Embedder:
```bash
export BARADB_EMBED_ENDPOINT=http://localhost:11434/api/embeddings
export BARADB_EMBED_MODEL=nomic-embed-text
```
### Auto-Embedding bei INSERT
Wenn eine VECTOR-Spalte NULL ist, aber eine TEXT-Spalte einen Wert hat, wird das Embedding automatisch generiert (falls ein Embedder konfiguriert ist).
```sql
CREATE TABLE docs (id INTEGER PRIMARY KEY, content TEXT, embedding VECTOR(768));
CREATE INDEX docs_vec ON docs(embedding) USING hnsw;
-- embedding wird automatisch gefüllt
INSERT INTO docs (id, content) VALUES (1, 'Dieser Text wird automatisch embedded');
```
## Distanzmetriken
| Metrik | SQL-Funktion | Beschreibung |
|--------|-------------|-------------|
| `cosine` | `cosine_distance(a, b)` | Kosinus-Distanz |
| `euclidean` | `euclidean_distance(a, b)` / `<->` | L2-Distanz |
| `dotproduct` | `inner_product(a, b)` | Negatives Skalarprodukt |
| `manhattan` | `l1_distance(a, b)` | L1-Distanz |
## Index-Typen
### HNSW (Standard)
```nim
import barabadb/vector/engine
var hnsw = newHNSWIndex(dimensions = 128, m = 16, efConstruction = 200)
```
### IVF-PQ
```nim
var ivfpq = newIVFPQIndex(dimensions = 128, numCentroids = 256, subQuantizers = 8)
```
## Native Nim API
```nim
import barabadb/vector/engine
var idx = newHNSWIndex(dimensions = 128)
idx.insert(1, @[1.0'f32, 0.0'f32, ...], {"category": "A"}.toTable)
let results = idx.search(queryVector, k = 10)
let filtered = idx.searchWithFilter(queryVector, k = 10,
filter = proc(meta: Table[string, string]): bool = return "category" in meta)
```