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cobre_solver/
types.rs

1//! Core types for the solver abstraction layer.
2//!
3//! Defines the canonical representations of LP solutions, basis management,
4//! and terminal solver errors used throughout the solver interface.
5
6use core::fmt;
7
8/// Simplex basis storing solver-native `i32` status codes for zero-copy round-trip
9/// basis management.
10///
11/// `Basis` stores the raw solver `i32` status codes directly, enabling zero-copy
12/// round-trip warm-starting via `copy_from_slice` (memcpy). This avoids per-element
13/// translation overhead when the caller only needs to save and restore the basis
14/// without inspecting individual statuses.
15///
16/// `HiGHS` uses `HighsInt` (4 bytes) for status codes; CLP uses `unsigned char`
17/// (1 byte, widened to `i32` in this representation). The caller is responsible
18/// for matching the buffer dimensions to the LP model before use.
19///
20/// See Solver Abstraction SS9.
21#[derive(Debug, Clone)]
22pub struct Basis {
23    /// Solver-native `i32` status codes for each column (length must equal `num_cols`).
24    pub col_status: Vec<i32>,
25
26    /// Solver-native `i32` status codes for each row, including structural and dynamic rows.
27    pub row_status: Vec<i32>,
28}
29
30impl Basis {
31    /// Creates a new `Basis` with pre-allocated, zero-filled status code buffers.
32    ///
33    /// Both `col_status` and `row_status` are allocated to the requested lengths
34    /// and filled with `0_i32`. The caller reuses this buffer across solves by
35    /// passing it to [`crate::SolverInterface::get_basis`] on each iteration.
36    #[must_use]
37    pub fn new(num_cols: usize, num_rows: usize) -> Self {
38        Self {
39            col_status: vec![0_i32; num_cols],
40            row_status: vec![0_i32; num_rows],
41        }
42    }
43}
44
45/// Complete solution from a successful LP solve.
46///
47/// All values are in the original (unscaled) problem space. Dual values
48/// are pre-normalized to the canonical sign convention defined in
49/// [Solver Abstraction SS8](../../../cobre-docs/src/specs/architecture/solver-abstraction.md)
50/// before this struct is returned -- solver-specific sign differences are
51/// resolved within the [`crate::SolverInterface`] implementation.
52///
53/// See [Solver Interface Trait SS4.1](../../../cobre-docs/src/specs/architecture/solver-interface-trait.md).
54#[derive(Debug, Clone)]
55pub struct LpSolution {
56    /// Optimal objective value (minimization sense).
57    pub objective: f64,
58
59    /// Primal variable values, indexed by column (length equals `num_cols`).
60    pub primal: Vec<f64>,
61
62    /// Dual multipliers (shadow prices), indexed by row (length equals `num_rows`).
63    /// Normalized to canonical sign convention.
64    pub dual: Vec<f64>,
65
66    /// Reduced costs, indexed by column (length equals `num_cols`).
67    pub reduced_costs: Vec<f64>,
68
69    /// Number of simplex iterations performed for this solve.
70    pub iterations: u64,
71
72    /// Wall-clock solve time in seconds (excluding retry overhead).
73    pub solve_time_seconds: f64,
74}
75
76/// Zero-copy view of an LP solution, borrowing directly from solver-internal buffers.
77///
78/// Valid until the next mutating method call on the solver (any `&mut self` call).
79/// This is enforced at compile time by the Rust borrow checker: the lifetime `'a`
80/// ties the view to the solver instance that produced it.
81///
82/// Use [`SolutionView::to_owned`] to convert to an owned [`LpSolution`] when the
83/// solution data must outlive the current borrow, or when the same data will be
84/// accessed after a subsequent solver call.
85///
86/// See [Solver Interface Trait SS4.1](../../../cobre-docs/src/specs/architecture/solver-interface-trait.md).
87#[derive(Debug, Clone, Copy)]
88pub struct SolutionView<'a> {
89    /// Optimal objective value (minimization sense).
90    pub objective: f64,
91
92    /// Primal variable values, indexed by column (length equals `num_cols`).
93    pub primal: &'a [f64],
94
95    /// Dual multipliers (shadow prices), indexed by row (length equals `num_rows`).
96    /// Normalized to canonical sign convention.
97    pub dual: &'a [f64],
98
99    /// Reduced costs, indexed by column (length equals `num_cols`).
100    pub reduced_costs: &'a [f64],
101
102    /// Number of simplex iterations performed for this solve.
103    pub iterations: u64,
104
105    /// Wall-clock solve time in seconds (excluding retry overhead).
106    pub solve_time_seconds: f64,
107}
108
109impl SolutionView<'_> {
110    /// Clones the borrowed slices into owned [`Vec`]s, producing an [`LpSolution`].
111    ///
112    /// Use this when the solution data must outlive the current solver borrow,
113    /// or when the same solution will be read after a subsequent solver call.
114    #[must_use]
115    pub fn to_owned(&self) -> LpSolution {
116        LpSolution {
117            objective: self.objective,
118            primal: self.primal.to_vec(),
119            dual: self.dual.to_vec(),
120            reduced_costs: self.reduced_costs.to_vec(),
121            iterations: self.iterations,
122            solve_time_seconds: self.solve_time_seconds,
123        }
124    }
125}
126
127/// Accumulated solve metrics for a single solver instance.
128///
129/// Counters grow monotonically from construction. They are thread-local --
130/// each thread owns one solver instance and accumulates its own statistics.
131/// Statistics are aggregated across threads via reduction after training
132/// completes.
133///
134/// `reset()` does **not** zero statistics counters. They persist across
135/// model reloads for the lifetime of the solver instance.
136///
137/// See [Solver Interface Trait SS4.3](../../../cobre-docs/src/specs/architecture/solver-interface-trait.md).
138#[derive(Debug, Clone, Default)]
139pub struct SolverStatistics {
140    /// Total number of `solve` and `solve_with_basis` calls.
141    pub solve_count: u64,
142
143    /// Number of solves that returned `Ok` (optimal solution found).
144    pub success_count: u64,
145
146    /// Number of solves that returned `Err` (terminal failure after retries).
147    pub failure_count: u64,
148
149    /// Total simplex iterations summed across all solves.
150    pub total_iterations: u64,
151
152    /// Total retry attempts summed across all failed solves.
153    pub retry_count: u64,
154
155    /// Cumulative wall-clock time spent in solver calls, in seconds.
156    pub total_solve_time_seconds: f64,
157
158    /// Number of times `solve_with_basis` fell back to cold-start due to basis rejection.
159    pub basis_rejections: u64,
160}
161
162/// Pre-assembled structural LP for one stage, in CSC (column-major) form.
163///
164/// Built once at initialization from resolved internal structures.
165/// Shared read-only across all threads within an MPI rank.
166/// Passed to [`crate::SolverInterface::load_model`] to bulk-load the LP.
167///
168/// Column and row ordering follows the LP layout convention defined in
169/// [Solver Abstraction SS2](../../../cobre-docs/src/specs/architecture/solver-abstraction.md).
170/// The calling algorithm crate owns construction of this type; `cobre-solver`
171/// treats it as an opaque data holder and does not interpret the LP structure.
172///
173/// See [Solver Interface Trait SS4.4](../../../cobre-docs/src/specs/architecture/solver-interface-trait.md)
174/// and [Solver Abstraction SS11.1](../../../cobre-docs/src/specs/architecture/solver-abstraction.md).
175#[derive(Debug, Clone)]
176pub struct StageTemplate {
177    /// Number of columns (decision variables) in the structural LP.
178    pub num_cols: usize,
179
180    /// Number of static rows (structural constraints, excluding dynamic rows).
181    pub num_rows: usize,
182
183    /// Number of non-zero entries in the structural constraint matrix.
184    pub num_nz: usize,
185
186    /// CSC column start offsets (length: `num_cols + 1`; `col_starts[num_cols] == num_nz`).
187    pub col_starts: Vec<i32>,
188
189    /// CSC row indices for each non-zero entry (length: `num_nz`).
190    pub row_indices: Vec<i32>,
191
192    /// CSC non-zero values (length: `num_nz`).
193    pub values: Vec<f64>,
194
195    /// Column lower bounds (length: `num_cols`; use `f64::NEG_INFINITY` for unbounded).
196    pub col_lower: Vec<f64>,
197
198    /// Column upper bounds (length: `num_cols`; use `f64::INFINITY` for unbounded).
199    pub col_upper: Vec<f64>,
200
201    /// Objective coefficients, minimization sense (length: `num_cols`).
202    pub objective: Vec<f64>,
203
204    /// Row lower bounds (length: `num_rows`; set equal to `row_upper` for equality).
205    pub row_lower: Vec<f64>,
206
207    /// Row upper bounds (length: `num_rows`; set equal to `row_lower` for equality).
208    pub row_upper: Vec<f64>,
209
210    /// Number of state variables (contiguous prefix of columns).
211    pub n_state: usize,
212
213    /// Number of state values transferred between consecutive stages.
214    ///
215    /// Equal to `N * L` per
216    /// [Solver Abstraction SS2.1](../../../cobre-docs/src/specs/architecture/solver-abstraction.md).
217    /// This is the storage volumes plus all AR lags except the oldest
218    /// (which ages out of the lag window).
219    pub n_transfer: usize,
220
221    /// Number of dual-relevant constraint rows (contiguous prefix of rows).
222    ///
223    /// Equal to `N + N*L + n_fpha + n_gvc` per
224    /// [Solver Abstraction SS2.2](../../../cobre-docs/src/specs/architecture/solver-abstraction.md).
225    /// For constant-productivity-only hydros (no FPHA), this equals `n_state`.
226    /// Extracting cut coefficients reads `dual[0..n_dual_relevant]`.
227    pub n_dual_relevant: usize,
228
229    /// Number of operating hydros at this stage.
230    pub n_hydro: usize,
231
232    /// Maximum PAR order across all operating hydros at this stage.
233    ///
234    /// Determines the uniform lag stride: all hydros store `max_par_order`
235    /// lag values regardless of their individual PAR order, enabling SIMD
236    /// vectorization with a single contiguous state stride.
237    pub max_par_order: usize,
238}
239
240/// Batch of constraint rows for addition to a loaded LP, in CSR (row-major) form.
241///
242/// Assembled from the cut pool activity bitmap before each LP rebuild
243/// and passed to [`crate::SolverInterface::add_rows`] for a single batch call.
244/// Cuts are appended at the bottom of the constraint matrix in the dynamic
245/// constraint region per
246/// [Solver Abstraction SS2.2](../../../cobre-docs/src/specs/architecture/solver-abstraction.md).
247///
248/// See [Solver Interface Trait SS4.5](../../../cobre-docs/src/specs/architecture/solver-interface-trait.md)
249/// and the cut pool assembly protocol in
250/// [Solver Abstraction SS5.4](../../../cobre-docs/src/specs/architecture/solver-abstraction.md).
251#[derive(Debug, Clone)]
252pub struct RowBatch {
253    /// Number of active constraint rows (cuts) in this batch.
254    pub num_rows: usize,
255
256    /// CSR row start offsets (`i32` for `HiGHS` FFI compatibility).
257    ///
258    /// Length: `num_rows + 1`. Entry `row_starts[i]` is the index into
259    /// `col_indices` and `values` where row `i` begins.
260    /// `row_starts[num_rows]` equals the total number of non-zeros.
261    pub row_starts: Vec<i32>,
262
263    /// CSR column indices for each non-zero entry (`i32` for `HiGHS` FFI compatibility).
264    ///
265    /// Length: total non-zeros across all rows. Entry `col_indices[k]` is the
266    /// column of the `k`-th non-zero value.
267    pub col_indices: Vec<i32>,
268
269    /// CSR non-zero values.
270    ///
271    /// Length: total non-zeros across all rows. Entry `values[k]` is the
272    /// coefficient at column `col_indices[k]` in its row.
273    pub values: Vec<f64>,
274
275    /// Row lower bounds (cut intercepts alpha for Benders cuts).
276    ///
277    /// Length: `num_rows`. For `>=` cuts, this is the RHS lower bound.
278    pub row_lower: Vec<f64>,
279
280    /// Row upper bounds.
281    ///
282    /// Length: `num_rows`. Use `f64::INFINITY` for `>=` cuts (Benders cuts
283    /// have no finite upper bound).
284    pub row_upper: Vec<f64>,
285}
286
287/// Terminal LP solve error returned after all retry attempts are exhausted.
288///
289/// The calling algorithm uses the variant to determine its response:
290/// hard stop (`Infeasible`, `Unbounded`, `InternalError`) or terminate
291/// with a diagnostic error (`NumericalDifficulty`, `TimeLimitExceeded`,
292/// `IterationLimit`).
293///
294/// The six variants correspond to the error categories defined in
295/// Solver Abstraction SS6. Solver-internal errors (e.g., factorization
296/// failures) are resolved by retry logic before reaching this level.
297#[derive(Debug)]
298pub enum SolverError {
299    /// The LP has no feasible solution.
300    ///
301    /// Indicates a data error (inconsistent bounds or constraints) or a
302    /// modeling error. The calling algorithm should perform a hard stop.
303    Infeasible,
304
305    /// The LP objective is unbounded below.
306    ///
307    /// Indicates a modeling error (missing bounds, incorrect objective sign).
308    /// The calling algorithm should perform a hard stop.
309    Unbounded,
310
311    /// Solver encountered numerical difficulties that persisted through all
312    /// retry attempts.
313    ///
314    /// The calling algorithm should log the error and perform a hard stop.
315    NumericalDifficulty {
316        /// Human-readable description of the numerical issue from the solver.
317        message: String,
318    },
319
320    /// Per-solve wall-clock time budget exhausted.
321    TimeLimitExceeded {
322        /// Elapsed wall-clock time in seconds at the point of termination.
323        elapsed_seconds: f64,
324    },
325
326    /// Solver simplex iteration limit reached.
327    IterationLimit {
328        /// Number of simplex iterations performed before the limit was hit.
329        iterations: u64,
330    },
331
332    /// Unrecoverable solver-internal failure.
333    ///
334    /// Covers FFI panics, memory allocation failures within the solver,
335    /// corrupted internal state, or any error not classifiable into the above
336    /// categories. The calling algorithm should log the error and perform a hard stop.
337    InternalError {
338        /// Human-readable error description.
339        message: String,
340        /// Solver-specific error code, if available.
341        error_code: Option<i32>,
342    },
343}
344
345impl fmt::Display for SolverError {
346    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
347        match self {
348            Self::Infeasible => write!(f, "LP is infeasible"),
349            Self::Unbounded => write!(f, "LP is unbounded"),
350            Self::NumericalDifficulty { message } => {
351                write!(f, "numerical difficulty: {message}")
352            }
353            Self::TimeLimitExceeded { elapsed_seconds } => {
354                write!(f, "time limit exceeded after {elapsed_seconds:.3}s")
355            }
356            Self::IterationLimit { iterations } => {
357                write!(f, "iteration limit reached after {iterations} iterations")
358            }
359            Self::InternalError {
360                message,
361                error_code,
362            } => {
363                if let Some(code) = error_code {
364                    write!(f, "internal solver error (code {code}): {message}")
365                } else {
366                    write!(f, "internal solver error: {message}")
367                }
368            }
369        }
370    }
371}
372
373impl std::error::Error for SolverError {}
374
375#[cfg(test)]
376mod tests {
377    use super::{Basis, RowBatch, SolutionView, SolverError, SolverStatistics, StageTemplate};
378
379    #[test]
380    fn test_basis_new_dimensions_and_zero_fill() {
381        let rb = Basis::new(3, 2);
382        assert_eq!(rb.col_status.len(), 3);
383        assert_eq!(rb.row_status.len(), 2);
384        assert!(rb.col_status.iter().all(|&v| v == 0_i32));
385        assert!(rb.row_status.iter().all(|&v| v == 0_i32));
386    }
387
388    #[test]
389    fn test_basis_new_empty() {
390        let rb = Basis::new(0, 0);
391        assert!(rb.col_status.is_empty());
392        assert!(rb.row_status.is_empty());
393    }
394
395    #[test]
396    fn test_basis_debug_and_clone() {
397        let rb = Basis::new(2, 1);
398        assert!(!format!("{rb:?}").is_empty());
399        let cloned = rb.clone();
400        assert_eq!(cloned.col_status, rb.col_status);
401        assert_eq!(cloned.row_status, rb.row_status);
402        let mut cloned2 = rb.clone();
403        cloned2.col_status[0] = 1_i32;
404        assert_eq!(rb.col_status[0], 0_i32);
405    }
406
407    #[test]
408    fn test_solver_error_display_infeasible() {
409        let msg = format!("{}", SolverError::Infeasible);
410        assert!(msg.contains("infeasible"));
411    }
412
413    #[test]
414    fn test_solver_error_display_all_variants() {
415        let variants = [
416            SolverError::Infeasible,
417            SolverError::Unbounded,
418            SolverError::NumericalDifficulty {
419                message: "factorization failed".to_string(),
420            },
421            SolverError::TimeLimitExceeded {
422                elapsed_seconds: 60.0,
423            },
424            SolverError::IterationLimit { iterations: 10_000 },
425            SolverError::InternalError {
426                message: "segfault in HiGHS".to_string(),
427                error_code: Some(-1),
428            },
429        ];
430
431        let messages: Vec<String> = variants.iter().map(|err| format!("{err}")).collect();
432        for i in 0..messages.len() {
433            for j in (i + 1)..messages.len() {
434                assert_ne!(messages[i], messages[j]);
435            }
436        }
437    }
438
439    #[test]
440    fn test_solver_error_is_std_error() {
441        let err = SolverError::InternalError {
442            message: "test".to_string(),
443            error_code: None,
444        };
445        let _: &dyn std::error::Error = &err;
446    }
447
448    #[test]
449    fn test_solver_statistics_default_all_zero() {
450        let stats = SolverStatistics::default();
451        assert_eq!(stats.solve_count, 0);
452        assert_eq!(stats.success_count, 0);
453        assert_eq!(stats.failure_count, 0);
454        assert_eq!(stats.total_iterations, 0);
455        assert_eq!(stats.retry_count, 0);
456        assert_eq!(stats.total_solve_time_seconds, 0.0);
457        assert_eq!(stats.basis_rejections, 0);
458    }
459
460    fn make_fixture_stage_template() -> StageTemplate {
461        StageTemplate {
462            num_cols: 3,
463            num_rows: 2,
464            num_nz: 3,
465            col_starts: vec![0_i32, 2, 2, 3],
466            row_indices: vec![0_i32, 1, 1],
467            values: vec![1.0, 2.0, 1.0],
468            col_lower: vec![0.0, 0.0, 0.0],
469            col_upper: vec![10.0, f64::INFINITY, 8.0],
470            objective: vec![0.0, 1.0, 50.0],
471            row_lower: vec![6.0, 14.0],
472            row_upper: vec![6.0, 14.0],
473            n_state: 1,
474            n_transfer: 0,
475            n_dual_relevant: 1,
476            n_hydro: 1,
477            max_par_order: 0,
478        }
479    }
480
481    #[test]
482    fn test_stage_template_construction() {
483        let tmpl = make_fixture_stage_template();
484
485        assert_eq!(tmpl.num_cols, 3);
486        assert_eq!(tmpl.num_rows, 2);
487        assert_eq!(tmpl.num_nz, 3);
488        assert_eq!(tmpl.col_starts, vec![0_i32, 2, 2, 3]);
489        assert_eq!(tmpl.row_indices, vec![0_i32, 1, 1]);
490        assert_eq!(tmpl.values, vec![1.0, 2.0, 1.0]);
491
492        assert_eq!(tmpl.col_lower, vec![0.0, 0.0, 0.0]);
493        assert_eq!(tmpl.col_upper[0], 10.0);
494        assert!(tmpl.col_upper[1].is_infinite() && tmpl.col_upper[1] > 0.0);
495        assert_eq!(tmpl.col_upper[2], 8.0);
496
497        assert_eq!(tmpl.objective, vec![0.0, 1.0, 50.0]);
498        assert_eq!(tmpl.row_lower, vec![6.0, 14.0]);
499        assert_eq!(tmpl.row_upper, vec![6.0, 14.0]);
500
501        assert_eq!(tmpl.n_state, 1);
502        assert_eq!(tmpl.n_transfer, 0);
503        assert_eq!(tmpl.n_dual_relevant, 1);
504        assert_eq!(tmpl.n_hydro, 1);
505        assert_eq!(tmpl.max_par_order, 0);
506    }
507
508    #[test]
509    fn test_solver_error_display_all_branches() {
510        let cases = vec![
511            ("Infeasible", SolverError::Infeasible, "infeasible"),
512            ("Unbounded", SolverError::Unbounded, "unbounded"),
513            (
514                "NumericalDifficulty",
515                SolverError::NumericalDifficulty {
516                    message: "singular matrix".to_string(),
517                },
518                "singular matrix",
519            ),
520            (
521                "TimeLimitExceeded",
522                SolverError::TimeLimitExceeded {
523                    elapsed_seconds: 60.0,
524                },
525                "60.000s",
526            ),
527            (
528                "IterationLimit",
529                SolverError::IterationLimit { iterations: 10_000 },
530                "10000 iterations",
531            ),
532            (
533                "InternalError/None",
534                SolverError::InternalError {
535                    message: "unknown failure".to_string(),
536                    error_code: None,
537                },
538                "unknown failure",
539            ),
540            (
541                "InternalError/Some",
542                SolverError::InternalError {
543                    message: "segfault in HiGHS".to_string(),
544                    error_code: Some(-1),
545                },
546                "code -1",
547            ),
548        ];
549
550        for (name, err, expected_text) in cases {
551            let msg = format!("{err}");
552            assert!(!msg.is_empty());
553            assert!(
554                msg.contains(expected_text),
555                "{name} missing '{expected_text}'"
556            );
557        }
558    }
559
560    #[test]
561    fn test_solver_error_is_std_error_all_variants() {
562        let errors: Vec<SolverError> = vec![
563            SolverError::Infeasible,
564            SolverError::Unbounded,
565            SolverError::NumericalDifficulty {
566                message: "test".to_string(),
567            },
568            SolverError::TimeLimitExceeded {
569                elapsed_seconds: 1.0,
570            },
571            SolverError::IterationLimit { iterations: 1 },
572            SolverError::InternalError {
573                message: "test".to_string(),
574                error_code: None,
575            },
576            SolverError::InternalError {
577                message: "test".to_string(),
578                error_code: Some(-1),
579            },
580        ];
581
582        for err in &errors {
583            let _: &dyn std::error::Error = err;
584        }
585    }
586
587    #[test]
588    fn test_solution_view_to_owned() {
589        let primal = [1.0, 2.0];
590        let dual = [3.0];
591        let rc = [4.0, 5.0];
592        let view = SolutionView {
593            objective: 42.0,
594            primal: &primal,
595            dual: &dual,
596            reduced_costs: &rc,
597            iterations: 7,
598            solve_time_seconds: 0.5,
599        };
600        let owned = view.to_owned();
601        assert_eq!(owned.objective, 42.0);
602        assert_eq!(owned.primal, vec![1.0, 2.0]);
603        assert_eq!(owned.dual, vec![3.0]);
604        assert_eq!(owned.reduced_costs, vec![4.0, 5.0]);
605        assert_eq!(owned.iterations, 7);
606        assert_eq!(owned.solve_time_seconds, 0.5);
607    }
608
609    #[test]
610    fn test_solution_view_is_copy() {
611        let primal = [1.0];
612        let dual = [2.0];
613        let rc = [3.0];
614        let view = SolutionView {
615            objective: 0.0,
616            primal: &primal,
617            dual: &dual,
618            reduced_costs: &rc,
619            iterations: 0,
620            solve_time_seconds: 0.0,
621        };
622        let copy = view;
623        assert_eq!(view.objective, copy.objective);
624    }
625
626    #[test]
627    fn test_row_batch_construction() {
628        let batch = RowBatch {
629            num_rows: 2,
630            row_starts: vec![0_i32, 2, 4],
631            col_indices: vec![0_i32, 1, 0, 1],
632            values: vec![-5.0, 1.0, 3.0, 1.0],
633            row_lower: vec![20.0, 80.0],
634            row_upper: vec![f64::INFINITY, f64::INFINITY],
635        };
636
637        assert_eq!(batch.num_rows, 2);
638        assert_eq!(batch.row_starts.len(), 3);
639        assert_eq!(batch.row_starts, vec![0_i32, 2, 4]);
640        assert_eq!(batch.col_indices, vec![0_i32, 1, 0, 1]);
641        assert_eq!(batch.values, vec![-5.0, 1.0, 3.0, 1.0]);
642        assert_eq!(batch.row_lower, vec![20.0, 80.0]);
643        assert!(batch.row_upper[0].is_infinite() && batch.row_upper[0] > 0.0);
644        assert!(batch.row_upper[1].is_infinite() && batch.row_upper[1] > 0.0);
645    }
646}