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xlog_ir/
rir.rs

1//! Relational IR node definitions
2
3use xlog_core::{AggOp, RelId, ScalarType};
4
5/// Join type variants
6#[derive(Debug, Clone, Copy, PartialEq, Eq)]
7pub enum JoinType {
8    /// Standard inner join
9    Inner,
10    /// Left outer join
11    LeftOuter,
12    /// Semi join (exists check)
13    Semi,
14    /// Anti join (not exists / negation)
15    Anti,
16}
17
18/// Expression in filter predicates
19#[derive(Debug, Clone, PartialEq)]
20pub enum Expr {
21    /// Column reference by index
22    Column(usize),
23    /// Constant value
24    Const(ConstValue),
25    /// Binary comparison
26    Compare {
27        /// Left-hand side expression.
28        left: Box<Expr>,
29        /// Comparison operator.
30        op: CompareOp,
31        /// Right-hand side expression.
32        right: Box<Expr>,
33    },
34    /// Logical AND
35    And(Vec<Expr>),
36    /// Logical OR
37    Or(Vec<Expr>),
38    /// Logical NOT
39    Not(Box<Expr>),
40
41    // Arithmetic operations
42    /// Addition
43    Add(Box<Expr>, Box<Expr>),
44    /// Subtraction
45    Sub(Box<Expr>, Box<Expr>),
46    /// Multiplication
47    Mul(Box<Expr>, Box<Expr>),
48    /// Division
49    Div(Box<Expr>, Box<Expr>),
50    /// Modulo
51    Mod(Box<Expr>, Box<Expr>),
52
53    // Built-in functions
54    /// Absolute value
55    Abs(Box<Expr>),
56    /// Minimum of two values
57    Min(Box<Expr>, Box<Expr>),
58    /// Maximum of two values
59    Max(Box<Expr>, Box<Expr>),
60    /// Power (base, exponent)
61    Pow(Box<Expr>, Box<Expr>),
62    /// Type cast
63    Cast(Box<Expr>, ScalarType),
64
65    /// Conditional expression: if condition then then_expr else else_expr
66    /// The condition is a boolean comparison expression.
67    /// Used for UDF conditionals like: if X >= 100 then 1 else 2
68    Conditional {
69        /// Boolean condition (should evaluate to bool)
70        condition: Box<Expr>,
71        /// Expression to evaluate when condition is true
72        then_expr: Box<Expr>,
73        /// Expression to evaluate when condition is false
74        else_expr: Box<Expr>,
75    },
76}
77
78/// Projection expression -- either a pass-through column reference or a computed value.
79#[derive(Debug, Clone, PartialEq)]
80pub enum ProjectExpr {
81    /// Pass through column at given index.
82    Column(usize),
83    /// Compute an expression whose result has the given scalar type.
84    Computed(Expr, ScalarType),
85}
86
87/// Per-lookup-input permutation for W2.1 variable-ordering.
88///
89/// When a non-default leader is chosen, the dispatcher rotates kernel
90/// inputs and may swap the two columns of selected lookup atoms (triangle
91/// only — the 4-cycle has rotational symmetry and never needs col-swap).
92/// `swap_cols == true` means the dispatcher must materialize an owned
93/// 2-col view with cols swapped before calling the layout helper.
94#[derive(Debug, Clone, PartialEq, Eq)]
95pub struct LookupPerm {
96    /// Index into the **promoter's canonical input order**:
97    /// triangle = `[e_xy, e_yz, e_xz]`, 4-cycle =
98    /// `[e_wx, e_xy, e_yz, e_zw]`. `lookup_perms[i]` describes
99    /// kernel slot `i + 1` (slots 1, 2, 3 — the non-leader slots).
100    /// The leader slot 0 is identified by `VariableOrder::leader_idx`
101    /// and is never repeated here.
102    pub input_idx: u8,
103    /// Whether to swap col0 ↔ col1 on this input before the layout
104    /// helper sees it.
105    pub swap_cols: bool,
106}
107
108/// Maximum K supported by the 38-B K-clique variable-order plan.
109pub const K_CLIQUE_MAX_K: usize = 8;
110
111/// Maximum edge count for K=8 complete binary-edge clique, C(8, 2).
112pub const K_CLIQUE_MAX_EDGES: usize = 28;
113
114/// Column-order rewrite for one K-clique input edge.
115#[derive(Debug, Clone, PartialEq, Eq)]
116pub struct ColumnSwap {
117    /// Edge slot to rewrite after edge permutation.
118    pub edge_slot: u8,
119    /// Whether the two source columns should be swapped.
120    pub swap_cols: bool,
121}
122
123/// Sorted-layout requirements carried by a K-clique plan.
124#[derive(Debug, Clone, PartialEq, Eq)]
125pub struct SortedLayoutSpec {
126    /// Edge slots whose sorted layouts are required by the plan.
127    pub edge_slots: Vec<u8>,
128    /// Per-edge key-column order required by the sorted layout.
129    pub key_columns: Vec<Vec<u8>>,
130}
131
132/// Helper relation split requested by the K-clique plan.
133#[derive(Debug, Clone, PartialEq, Eq)]
134pub struct HelperSplitSpec {
135    /// Stable helper identifier within the plan.
136    pub helper_id: u8,
137    /// Variable whose prefix/fanout is split into the helper.
138    pub variable: u8,
139    /// Edge slots materialized into the helper relation.
140    pub edge_slots: Vec<u8>,
141}
142
143/// Stream group assigned to a K-clique plan.
144#[derive(Debug, Clone, Copy, PartialEq, Eq, PartialOrd, Ord, Hash)]
145pub struct StreamGroupId(pub u8);
146
147/// Full variable-order plan for K=5..K=8 clique-family WCOJ dispatch.
148#[derive(Debug, Clone, PartialEq, Eq)]
149pub struct KCliqueVariableOrder {
150    /// Clique arity K.
151    pub k: u8,
152    /// Position for each variable id; unused entries are `u8::MAX`.
153    pub variable_positions: [u8; K_CLIQUE_MAX_K],
154    /// Edge-slot permutation; unused entries are `u8::MAX`.
155    pub edge_permutation: [u8; K_CLIQUE_MAX_EDGES],
156    /// Optional column swaps after edge permutation.
157    pub column_swaps: Vec<ColumnSwap>,
158    /// Sorted-layout requirements for runtime layout construction.
159    pub sorted_layout_requirements: SortedLayoutSpec,
160    /// Helper-split requests attached to this plan.
161    pub helper_split_specs: Vec<HelperSplitSpec>,
162    /// Stream group consumed by stream-mux scheduling.
163    pub stream_group: StreamGroupId,
164}
165
166impl KCliqueVariableOrder {
167    /// Creates a K-clique variable-order plan with all seven required fields.
168    pub fn new(
169        k: u8,
170        variable_positions: [u8; K_CLIQUE_MAX_K],
171        edge_permutation: [u8; K_CLIQUE_MAX_EDGES],
172        column_swaps: Vec<ColumnSwap>,
173        sorted_layout_requirements: SortedLayoutSpec,
174        helper_split_specs: Vec<HelperSplitSpec>,
175        stream_group: StreamGroupId,
176    ) -> Self {
177        Self {
178            k,
179            variable_positions,
180            edge_permutation,
181            column_swaps,
182            sorted_layout_requirements,
183            helper_split_specs,
184            stream_group,
185        }
186    }
187}
188
189/// Cost evidence carried with a planned WCOJ-vs-hash route.
190#[derive(Debug, Clone, Copy, PartialEq)]
191pub struct CostPredictionRecord {
192    /// Estimated WCOJ work under the selected plan.
193    pub wcoj_cost: f64,
194    /// Estimated hash-chain work under the captured fallback plan.
195    pub hash_cost: f64,
196}
197
198impl CostPredictionRecord {
199    /// Stable evidence for incomplete stats: hash is the safe default route.
200    pub fn empty() -> Self {
201        Self {
202            wcoj_cost: f64::INFINITY,
203            hash_cost: 0.0,
204        }
205    }
206}
207
208/// Auditable reason for a structured hash route.
209#[derive(Debug, Clone, Copy, PartialEq, Eq)]
210pub enum PlannedHashReason {
211    /// Planner had complete stats and predicted hash lower-cost.
212    PlannerPredictsHashWins,
213    /// Planner could not build a complete stats-backed plan.
214    IncompleteStatsSafeDefault,
215}
216
217/// Route chosen for a recognized multiway shape.
218#[derive(Debug, Clone, PartialEq)]
219pub enum MultiwayPlan {
220    /// Execute the WCOJ path with the attached K-clique plan.
221    WcojWithPlan(KCliqueVariableOrder),
222    /// Execute the captured fallback as a planned hash route.
223    PlannedHashRoute {
224        /// Why the recognized shape routes to hash.
225        reason: PlannedHashReason,
226        /// Cost evidence that made the route auditable.
227        planner_evidence: CostPredictionRecord,
228    },
229}
230
231/// Variable-ordering decision attached to a `MultiWayJoin`.
232///
233/// `None` on the parent variant preserves slice 1/2/4/W2.2 dispatch
234/// behavior bit-identically (default leader, no col-swap, no kernel
235/// projection — `output_columns` carries the binary-fallback projection
236/// as before).
237///
238/// When `Some`, the dispatcher consumes `leader_idx` to rotate the
239/// kernel `inputs`, applies any `lookup_perms` col-swaps, and
240/// post-projects the kernel-direct output buffer through
241/// `kernel_output_cols`. `MultiWayJoin::output_columns` stays untouched
242/// so binary-fallback consumers continue reading it directly.
243#[derive(Debug, Clone, PartialEq)]
244pub struct VariableOrder {
245    /// Selected leader's index in the canonical promoter input order
246    /// (e.g., for triangle: 0=e_xy, 1=e_yz, 2=e_xz). `0` reproduces
247    /// the default leader.
248    pub leader_idx: u8,
249    /// One entry per non-leader lookup input, in dispatcher slot order.
250    pub lookup_perms: Vec<LookupPerm>,
251    /// Permutation applied to the kernel-direct output buffer to
252    /// produce head-ordered columns. For default leader this would be
253    /// identity but the field is omitted (`var_order = None`) — slice
254    /// 1/2 keeps using `MultiWayJoin::output_columns` directly.
255    pub kernel_output_cols: Vec<ProjectExpr>,
256    /// Full K-clique variable-order plan for K=5..K=8. `None`
257    /// preserves the legacy triangle/4-cycle leader-permutation path.
258    pub kclique: Option<KCliqueVariableOrder>,
259}
260
261impl VariableOrder {
262    /// Creates the legacy triangle/4-cycle leader-permutation form.
263    pub fn legacy(
264        leader_idx: u8,
265        lookup_perms: Vec<LookupPerm>,
266        kernel_output_cols: Vec<ProjectExpr>,
267    ) -> Self {
268        Self {
269            leader_idx,
270            lookup_perms,
271            kernel_output_cols,
272            kclique: None,
273        }
274    }
275
276    /// Creates the full K-clique variable-order form.
277    pub fn kclique(kclique: KCliqueVariableOrder) -> Self {
278        Self {
279            leader_idx: 0,
280            lookup_perms: Vec::new(),
281            kernel_output_cols: Vec::new(),
282            kclique: Some(kclique),
283        }
284    }
285}
286
287/// Comparison operators
288#[derive(Debug, Clone, Copy, PartialEq, Eq)]
289pub enum CompareOp {
290    /// Equal (`==`)
291    Eq,
292    /// Not equal (`!=`)
293    Ne,
294    /// Less than (`<`)
295    Lt,
296    /// Less than or equal (`<=`)
297    Le,
298    /// Greater than (`>`)
299    Gt,
300    /// Greater than or equal (`>=`)
301    Ge,
302}
303
304/// Constant values in expressions
305#[derive(Debug, Clone, PartialEq)]
306pub enum ConstValue {
307    /// Unsigned 32-bit integer constant.
308    U32(u32),
309    /// Unsigned 64-bit integer constant.
310    U64(u64),
311    /// Signed 32-bit integer constant.
312    I32(i32),
313    /// Signed 64-bit integer constant.
314    I64(i64),
315    /// 32-bit float constant.
316    F32(f32),
317    /// 64-bit float constant.
318    F64(f64),
319    /// Boolean constant.
320    Bool(bool),
321    /// Interned symbol string constant.
322    Symbol(String),
323}
324
325/// Relational IR node types
326#[derive(Debug, Clone)]
327#[allow(clippy::large_enum_variant)]
328pub enum RirNode {
329    /// A 0-arity relation containing exactly one empty tuple ({()}).
330    ///
331    /// This is the identity element for joins and the natural seed for rules whose bodies
332    /// contain no positive atoms (e.g. `p() :- not q().`), allowing negation-only rules to
333    /// be lowered as set difference against a unit relation.
334    Unit,
335
336    /// Scan a base relation
337    Scan {
338        /// Relation identifier to scan.
339        rel: RelId,
340    },
341
342    /// Filter rows by predicate
343    Filter {
344        /// Input relation subtree to filter.
345        input: Box<RirNode>,
346        /// Boolean predicate applied to each row.
347        predicate: Expr,
348    },
349
350    /// Project specific columns (pass-through or computed)
351    Project {
352        /// Input relation subtree to project from.
353        input: Box<RirNode>,
354        /// Output projection expressions in result-column order.
355        columns: Vec<ProjectExpr>,
356    },
357
358    /// Join two relations
359    Join {
360        /// Left-hand input relation.
361        left: Box<RirNode>,
362        /// Right-hand input relation.
363        right: Box<RirNode>,
364        /// Column indices from the left input used as join keys.
365        left_keys: Vec<usize>,
366        /// Column indices from the right input used as join keys.
367        right_keys: Vec<usize>,
368        /// Join semantics to apply.
369        join_type: JoinType,
370    },
371
372    /// Production W6.3 two-atom chain join:
373    /// `head(...) :- left(..., Z, ...), right(..., Z, ...)`.
374    ///
375    /// The executor MAY dispatch this node through a specialized
376    /// physical route. On dispatch decline, it must execute `fallback`,
377    /// the IR-equivalent binary join captured at promotion time.
378    ChainJoin {
379        /// Left relation input. The W6.3 promoter emits a Scan.
380        left: Box<RirNode>,
381        /// Right relation input. The W6.3 promoter emits a Scan.
382        right: Box<RirNode>,
383        /// Join key column in `left`.
384        left_key: usize,
385        /// Join key column in `right`.
386        right_key: usize,
387        /// Output projection in head-tuple order.
388        output_columns: Vec<ProjectExpr>,
389        /// IR-equivalent binary-join plan for fallback execution.
390        fallback: Box<RirNode>,
391    },
392
393    /// Group by with aggregation
394    GroupBy {
395        /// Input relation subtree to aggregate.
396        input: Box<RirNode>,
397        /// Column indices preserved as grouping keys.
398        key_cols: Vec<usize>,
399        /// (value_column, aggregation_op)
400        aggs: Vec<(usize, AggOp)>,
401    },
402
403    /// Union multiple inputs
404    Union {
405        /// Input subtrees whose rows are concatenated together.
406        inputs: Vec<RirNode>,
407    },
408
409    /// Remove duplicates
410    Distinct {
411        /// Input relation subtree to deduplicate.
412        input: Box<RirNode>,
413        /// Column indices defining tuple identity.
414        key_cols: Vec<usize>,
415    },
416
417    /// Set difference (left - right)
418    Diff {
419        /// Left-hand input relation.
420        left: Box<RirNode>,
421        /// Right-hand input relation whose rows are excluded from the left input.
422        right: Box<RirNode>,
423    },
424
425    /// Fixpoint iteration for recursion
426    Fixpoint {
427        /// SCC identifier
428        scc_id: u32,
429        /// Base case computation
430        base: Box<RirNode>,
431        /// Recursive step computation
432        recursive: Box<RirNode>,
433        /// Relation for delta (new tuples)
434        delta_rel: RelId,
435        /// Relation for full result
436        full_rel: RelId,
437    },
438
439    /// A multi-way conjunctive join that the executor MAY dispatch to a
440    /// specialized physical operator (e.g. GPU WCOJ). When the dispatch
441    /// declines, the executor falls through to `fallback`, which is the
442    /// IR-equivalent binary-join plan captured at promotion time.
443    ///
444    /// **Invariant** (upheld by `xlog-logic::promote::promote_multiway`):
445    /// executing `fallback` produces the same row set as a successful
446    /// specialized dispatch.
447    ///
448    /// v0.6.5 slice 1 only emits this for the certified triangle shape;
449    /// 4-way and general-arity admission land in later slices.
450    ///
451    /// # Walker contract
452    ///
453    /// Generic walkers and visitors that handle `MultiWayJoin` MUST be
454    /// shape-agnostic over `inputs`, `slot_vars`, and `output_columns`
455    /// — no walker may assume a fixed arity or a specific
456    /// variable-class layout. Only matchers/promoters whose name
457    /// carries an explicit shape qualifier (e.g.
458    /// `match_multiway_triangle`, `try_promote_triangle`) may lock to
459    /// a specific shape.
460    MultiWayJoin {
461        /// Input scans, in physical-plan slot order. For the v0.6.5
462        /// initial promoter, this is exactly `[Scan(rel_xy), Scan(rel_yz),
463        /// Scan(rel_xz)]` for a recognized triangle. Each input MUST be
464        /// `RirNode::Scan { rel }` in v1.
465        inputs: Vec<RirNode>,
466        /// Per-slot, per-column variable-class id. Same id across slots →
467        /// join on that variable. For the canonical triangle this is
468        /// `[[Some(0), Some(1)], [Some(1), Some(2)], [Some(0), Some(2)]]`.
469        /// `None` is reserved for constant-bound or don't-care columns;
470        /// the v1 promoter never emits `None`.
471        slot_vars: Vec<Vec<Option<u32>>>,
472        /// Output projection in head-tuple order, identical to what the
473        /// equivalent `Project { input: Join { ... } }` carries. For the
474        /// triangle: `[Column(0), Column(1), Column(3)]`. The executor
475        /// re-validates this; a malformed or rotated projection is
476        /// treated as ineligible (no dispatch).
477        output_columns: Vec<ProjectExpr>,
478        /// IR-equivalent binary-join plan. Executed verbatim on dispatch
479        /// decline. Captured from the post-optimizer tree by the
480        /// promoter; never synthesized.
481        fallback: Box<RirNode>,
482        /// Structured route for recognized multiway shapes. K-clique
483        /// cost-gated hash routes are positive plans, not promoter
484        /// inability to handle the shape.
485        plan: Option<MultiwayPlan>,
486        /// Optional W2.1 variable-ordering decision.
487        ///
488        /// `None` preserves slice 1/2/4/W2.2 behavior bit-identically:
489        /// dispatcher uses default leader, no col-swap, post-kernel
490        /// projection is the existing `output_columns`.
491        ///
492        /// `Some(VariableOrder)` instructs the dispatcher to rotate
493        /// kernel inputs to put `leader_idx` at slot 0, apply
494        /// `lookup_perms` col-swaps, and post-project via
495        /// `kernel_output_cols`. `output_columns` is NOT consulted on
496        /// the W2.1 path; binary-fallback consumers still read it.
497        var_order: Option<VariableOrder>,
498    },
499
500    /// Tensorized ILP super-graph join. A DLPack mask tensor selects which
501    /// (body_i, body_j) → head_k rule combinations are active.
502    TensorMaskedJoin {
503        /// Name of the mask tensor registered in the runtime.
504        mask_name: String,
505        /// Arity of the relation schema participating in the tensorized join.
506        schema_size: usize,
507        /// Left-side join key columns within the body schema.
508        left_keys: Vec<usize>,
509        /// Right-side join key columns within the body schema.
510        right_keys: Vec<usize>,
511        /// Mapping from tensor dimension index → (RelId, relation name).
512        /// Sorted by RelId for deterministic ordering (RD-36).
513        rel_index: Vec<(RelId, String)>,
514        /// Head relation name (for store lookup in executor, RD-12).
515        head_rel_name: String,
516        /// Head relation ID (for optimizer schema lookup, keyed by RelId, RD-27).
517        head_rel_id: RelId,
518        /// Maximum active rules to process (budget cap, RD-6).
519        max_active_rules: usize,
520        /// Column indices from the join result to project into the head schema.
521        /// Maps head column `i` to join result column `head_projection[i]`.
522        /// Join result columns are: [left_col_0..left_col_n, right_col_0..right_col_m].
523        head_projection: Vec<usize>,
524    },
525}
526
527impl RirNode {
528    /// Check if this node is a leaf (Scan)
529    pub fn is_leaf(&self) -> bool {
530        matches!(self, RirNode::Scan { .. })
531    }
532
533    /// Get all relation IDs referenced in this subtree
534    pub fn referenced_relations(&self) -> Vec<RelId> {
535        let mut rels = Vec::new();
536        self.collect_relations(&mut rels);
537        rels
538    }
539
540    fn collect_relations(&self, rels: &mut Vec<RelId>) {
541        match self {
542            RirNode::Unit => {}
543            RirNode::Scan { rel } => rels.push(*rel),
544            RirNode::Filter { input, .. } | RirNode::Project { input, .. } => {
545                input.collect_relations(rels);
546            }
547            RirNode::Join { left, right, .. }
548            | RirNode::ChainJoin { left, right, .. }
549            | RirNode::Diff { left, right } => {
550                left.collect_relations(rels);
551                right.collect_relations(rels);
552            }
553            RirNode::Union { inputs } => {
554                for input in inputs {
555                    input.collect_relations(rels);
556                }
557            }
558            RirNode::GroupBy { input, .. } | RirNode::Distinct { input, .. } => {
559                input.collect_relations(rels);
560            }
561            RirNode::Fixpoint {
562                base,
563                recursive,
564                delta_rel,
565                full_rel,
566                ..
567            } => {
568                base.collect_relations(rels);
569                recursive.collect_relations(rels);
570                rels.push(*delta_rel);
571                rels.push(*full_rel);
572            }
573            RirNode::TensorMaskedJoin { rel_index, .. } => {
574                for (rel_id, _) in rel_index {
575                    rels.push(*rel_id);
576                }
577            }
578            RirNode::MultiWayJoin { inputs, .. } => {
579                // Recurse into `inputs` only. The `fallback` references
580                // the same set by promoter invariant; walking both would
581                // double-count.
582                for input in inputs {
583                    input.collect_relations(rels);
584                }
585            }
586        }
587    }
588}
589
590#[cfg(test)]
591mod tests {
592    use super::*;
593    use xlog_core::ScalarType;
594
595    #[test]
596    fn test_scan_node() {
597        let node = RirNode::Scan { rel: RelId(1) };
598        assert!(matches!(node, RirNode::Scan { rel: RelId(1) }));
599        assert!(node.is_leaf());
600    }
601
602    #[test]
603    fn test_join_node() {
604        let left = Box::new(RirNode::Scan { rel: RelId(1) });
605        let right = Box::new(RirNode::Scan { rel: RelId(2) });
606        let join = RirNode::Join {
607            left,
608            right,
609            left_keys: vec![0],
610            right_keys: vec![0],
611            join_type: JoinType::Inner,
612        };
613        assert!(matches!(join, RirNode::Join { .. }));
614        let rels = join.referenced_relations();
615        assert!(rels.contains(&RelId(1)));
616        assert!(rels.contains(&RelId(2)));
617    }
618
619    #[test]
620    fn test_fixpoint_node() {
621        let base = Box::new(RirNode::Scan { rel: RelId(1) });
622        let recursive = Box::new(RirNode::Scan { rel: RelId(2) });
623        let fp = RirNode::Fixpoint {
624            scc_id: 0,
625            base,
626            recursive,
627            delta_rel: RelId(3),
628            full_rel: RelId(4),
629        };
630        assert!(matches!(fp, RirNode::Fixpoint { scc_id: 0, .. }));
631    }
632
633    #[test]
634    fn test_anti_join() {
635        let left = Box::new(RirNode::Scan { rel: RelId(1) });
636        let right = Box::new(RirNode::Scan { rel: RelId(2) });
637        let anti = RirNode::Join {
638            left,
639            right,
640            left_keys: vec![0],
641            right_keys: vec![0],
642            join_type: JoinType::Anti,
643        };
644        if let RirNode::Join { join_type, .. } = anti {
645            assert_eq!(join_type, JoinType::Anti);
646        }
647    }
648
649    #[test]
650    fn test_expr_arithmetic() {
651        let expr = Expr::Add(
652            Box::new(Expr::Column(0)),
653            Box::new(Expr::Const(ConstValue::I64(1))),
654        );
655        assert!(matches!(expr, Expr::Add(_, _)));
656    }
657
658    #[test]
659    fn test_project_expr_computed() {
660        let proj = ProjectExpr::Computed(
661            Expr::Add(
662                Box::new(Expr::Column(0)),
663                Box::new(Expr::Const(ConstValue::I64(1))),
664            ),
665            ScalarType::I64,
666        );
667        assert!(matches!(proj, ProjectExpr::Computed(_, _)));
668    }
669}