1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
/// Module `solver` provides the top-level API as a SAT solver.
/// API to instantiate
mod build;
/// Module 'conflict' handles conflicts.
mod conflict;
/// Module `restart` provides restart heuristics.
pub mod restart;
/// CDCL search engine
mod search;
/// Stage manger (was Stabilizer)
mod stage;
/// Module `validate` implements a model checker.
mod validate;

pub use self::{
    build::SatSolverIF,
    restart::{RestartIF, RestartManager},
    search::SolveIF,
    stage::StageManager,
    validate::ValidateIF,
};

use crate::{assign::AssignStack, cdb::ClauseDB, state::*, types::*};

/// Normal results returned by Solver.
#[derive(Debug, Eq, PartialEq)]
pub enum Certificate {
    /// It is satisfiable; `vec` is such an assignment sorted by var order.
    SAT(Vec<i32>),
    /// It is unsatisfiable.
    UNSAT,
}

/// The return type of `Solver::solve`.
/// This captures the following three cases:
/// * `Certificate::SAT` -- solved with a satisfiable assignment set,
/// * `Certificate::UNSAT` -- proved that it's an unsatisfiable problem, and
/// * `SolverError::*` -- caused by a bug
pub type SolverResult = Result<Certificate, SolverError>;

/// define sub-modules' responsibilities
#[derive(Clone, Copy, Debug, Eq, PartialEq)]
pub enum SolverEvent {
    /// asserting a var.
    Assert(VarId),
    /// conflict by unit propagation.
    Conflict,
    /// eliminating a var.
    Eliminate(VarId),
    /// Not in use
    Instantiate,
    /// increment the number of vars.
    NewVar,
    /// re-initialization for incremental solving.
    Reinitialize,
    /// restart
    Restart,
    /// start a new stage of Luby stabilization. It holds new scale.
    Stage(usize),

    #[cfg(feature = "clause_vivification")]
    /// Vivification: `true` for start, `false` for end.
    Vivify(bool),
}

/// The SAT solver object consisting of 6 sub modules.
/// ```
/// use crate::splr::*;
/// use crate::splr::{assign::{AssignIF, VarManipulateIF}, state::{State, StateIF}, types::*};
/// use std::path::Path;
///
/// let mut s = Solver::try_from(Path::new("cnfs/sample.cnf")).expect("can't load");
/// assert_eq!(s.asg.derefer(assign::property::Tusize::NumVar), 250);
/// assert_eq!(s.asg.derefer(assign::property::Tusize::NumUnassertedVar), 250);
/// if let Ok(Certificate::SAT(v)) = s.solve() {
///     assert_eq!(v.len(), 250);
///     // But don't expect `s.asg.var_stats().3 == 0` at this point.
///     // It returns the number of vars which were assigned at decision level 0.
/// } else {
///     panic!("It should be satisfied!");
/// }
/// assert_eq!(Solver::try_from(Path::new("cnfs/unsat.cnf")).expect("can't load").solve(), Ok(Certificate::UNSAT));
/// ```
#[derive(Clone, Debug, Default)]
pub struct Solver {
    /// assignment management
    pub asg: AssignStack,
    /// clause container
    pub cdb: ClauseDB,
    /// misc data holder
    pub state: State,
}

/// Example
///```
/// use crate::splr::*;
///
/// let v: Vec<Vec<i32>> = vec![];
/// assert!(matches!(
///     Certificate::try_from(v),
///     Ok(Certificate::SAT(_))
/// ));
/// assert!(matches!(
///     Certificate::try_from(vec![vec![0_i32]]),
///     Err(SolverError::InvalidLiteral)
/// ));
///
/// // `Solver` has another interface.
/// assert!(matches!(
///     Solver::try_from((Config::default(), vec![vec![0_i32]].as_ref())),
///     Err(Err(SolverError::InvalidLiteral))
/// ));
///```
impl<V: AsRef<[i32]>> TryFrom<Vec<V>> for Certificate {
    type Error = SolverError;
    fn try_from(vec: Vec<V>) -> SolverResult {
        Solver::try_from((Config::default(), vec.as_ref())).map_or_else(
            |e: SolverResult| match e {
                Ok(cert) => Ok(cert),
                Err(SolverError::EmptyClause) => Ok(Certificate::UNSAT),
                Err(e) => Err(e),
            },
            |mut solver| solver.solve(),
        )
    }
}

/// Iterator for Solver
/// * takes `&mut Solver`
/// * returns `Option<Vec<i32>>`
///    * `Some(Vec<i32>)` -- satisfiable assignment
///    * `None` -- unsatisfiable anymore
/// * Some internal error causes panic.
#[cfg(feature = "incremental_solver")]
pub struct SolverIter<'a> {
    solver: &'a mut Solver,
    refute: Option<Vec<i32>>,
}

#[cfg(feature = "incremental_solver")]
impl Solver {
    /// return an iterator on Solver. **Requires 'incremental_solver' feature**
    ///```ignore
    ///use splr::Solver;
    ///use std::path::Path;
    ///
    ///for v in Solver::try_from(Path::new("cnfs/sample.cnf")).expect("panic").iter() {
    ///    println!(" - answer: {:?}", v);
    ///}
    ///```
    pub fn iter(&mut self) -> SolverIter {
        SolverIter {
            solver: self,
            refute: None,
        }
    }
}

#[cfg(feature = "incremental_solver")]
impl<'a> Iterator for SolverIter<'a> {
    type Item = Vec<i32>;
    fn next(&mut self) -> Option<Self::Item> {
        if let Some(ref v) = self.refute {
            debug_assert!(1 < v.len());
            match self.solver.add_clause(v) {
                Err(SolverError::Inconsistent) => return None,
                Err(SolverError::EmptyClause) => return None,
                Err(e) => panic!("s UNKNOWN: {:?} by adding {:?}", e, v),
                Ok(_) => self.solver.reset(),
            }
            self.refute = None;
        }
        match self.solver.solve() {
            Ok(Certificate::SAT(ans)) => {
                let rft: Vec<i32> = ans.iter().map(|i| -i).collect::<Vec<i32>>();
                self.refute = Some(rft);
                Some(ans)
            }
            Ok(Certificate::UNSAT) => None,
            e => panic!("s UNKNOWN: {:?}", e),
        }
    }
}

#[cfg(test)]
mod tests {
    use super::*;
    use crate::assign;

    #[cfg_attr(not(feature = "no_IO"), test)]
    fn test_solver() {
        let config = Config::from("cnfs/sample.cnf");
        if let Ok(s) = Solver::build(&config) {
            assert_eq!(s.asg.derefer(assign::property::Tusize::NumVar), 250);
            assert_eq!(
                s.asg.derefer(assign::property::Tusize::NumUnassertedVar),
                250
            );
        } else {
            panic!("failed to build a solver for cnfs/sample.cnf");
        }
    }

    macro_rules! run {
        ($vec: expr) => {
            println!(
                "{:>46} =| {:?}",
                format!("{:?}", $vec),
                match Solver::try_from((Config::default(), $vec.as_ref())).map(|mut s| s.solve()) {
                    Err(e) => e,
                    Ok(Ok(u @ Certificate::UNSAT)) => Ok(u),
                    Ok(s) => s,
                }
            );
        };
    }

    macro_rules! sat {
        ($vec: expr, $should_be: pat) => {
            println!("{:>46} =| ", format!("{:?}", $vec));
            let result = Certificate::try_from($vec);
            println!("{:?}", result);
            assert!(matches!(result, $should_be));
        };
        ($vec: expr) => {
            println!(
                "{:>46} =| {:?}",
                format!("{:?}", $vec),
                Certificate::try_from($vec)
            );
        };
    }

    #[test]
    fn test_on_memory_solving() {
        let mut v: Vec<Vec<i32>> = Vec::new();
        run!(v);
        v.push(Vec::new());
        run!(v);
        run!(vec![vec![1]]);
        run!(vec![vec![1], vec![-1]]);
        run!(vec![vec![1, 2], vec![-1, 3], vec![1, -3], vec![-1, 2]]);
        run!(vec![
            vec![1, 2],
            vec![-1, 3],
            vec![1, -3],
            vec![-1, -2],
            vec![-2, -3]
        ]);
        run!(vec![
            vec![1, 2],
            vec![-1, 3],
            vec![-1, -3],
            vec![-1, -2],
            vec![1, -2]
        ]);

        // auto conversion via `as_ref`
        let (v1, v2, v3, v4, v5) = (vec![1, 2], vec![-1, 3], vec![1, -3], vec![-1, 2], vec![-3]);
        run!(vec![&v1, &v2, &v3, &v4, &v5]); // : Vec<&[i32]>
        run!([&v1, &v2, &v3, &v4, &v5]); // [&[i32]; 5]

        // let v: Vec<Vec<i32>> = vec![vec![1, 2], vec![-1, 3], vec![1, -3], vec![-1, 2]];
        // let s = Solver::try_from((Config::default(), v.as_ref()));
        // match s.map_or_else(|e| e, |mut solver| solver.solve()) {
        //     Ok(Certificate::SAT(ans)) => println!("s SATISFIABLE: {:?}", ans),
        //     Ok(Certificate::UNSAT) => println!("s UNSATISFIABLE"),
        //     Err(e) => panic!("{}", e),
        // }
        let v0: Vec<Vec<i32>> = vec![];
        sat!(v0, Ok(Certificate::SAT(_)));
        let v1: Vec<Vec<i32>> = vec![vec![]];
        sat!(v1, Ok(Certificate::UNSAT));
        sat!(vec![vec![1i32]], Ok(Certificate::SAT(_)));
        sat!(vec![vec![1i32], vec![-1]], Ok(Certificate::UNSAT));
        sat!(vec![vec![1i32, 2], vec![-1, 3], vec![1, -3], vec![-1, 2]]);
        sat!(vec![
            vec![1i32, 2],
            vec![-1, 3],
            vec![1, -3],
            vec![-1, -2],
            vec![-2, -3]
        ]);
        sat!(vec![
            vec![1i32, 2],
            vec![-1, 3],
            vec![-1, -3],
            vec![-1, -2],
            vec![1, -2]
        ]);
        let (v1, v2, v3, v4, v5) = (
            vec![1i32, 2],
            vec![-1i32, 3],
            vec![1i32, -3],
            vec![-1i32, 2],
            vec![-3i32],
        );
        sat!(vec![&v1, &v2, &v3, &v4, &v5]); // : Vec<&[i32]>
    }

    #[cfg(feature = "incremental_solver")]
    #[test]
    fn test_solver_iter() {
        let mut slv = Solver::instantiate(
            &Config::default(),
            &CNFDescription {
                num_of_variables: 8,
                ..CNFDescription::default()
            },
        );
        assert_eq!(slv.iter().count(), 256);
    }
    #[cfg(feature = "incremental_solver")]
    #[test]
    fn test_add_var_on_incremental_solver() {
        let mut slv = Solver::instantiate(
            &Config::default(),
            &CNFDescription {
                num_of_variables: 4,
                ..CNFDescription::default()
            },
        );
        assert!(slv.add_clause(vec![-1, -2]).is_ok());
        assert!(slv.add_clause(vec![-3, -4]).is_ok());
        assert!(slv.add_assignment(-2).is_ok());
        let a = slv.add_var() as i32;
        assert!(slv.add_clause(vec![1, 3, 4, -a]).is_ok());
        assert!(slv.add_clause(vec![1, -3, -4, -a]).is_ok());
        assert!(slv.add_clause(vec![-1, 3, -4, -a]).is_ok());
        assert!(slv.add_clause(vec![-1, -3, 4, -a]).is_ok());
        assert!(slv.add_clause(vec![-1, -3, -4, a]).is_ok());
        assert!(slv.add_clause(vec![-1, 3, 4, a]).is_ok());
        assert!(slv.add_clause(vec![1, -3, 4, a]).is_ok());
        assert!(slv.add_clause(vec![1, 3, -4, a]).is_ok());
        let b = slv.add_var() as i32;
        assert!(slv.add_clause(vec![1, 3, -b]).is_ok());
        assert!(slv.add_clause(vec![1, 4, -b]).is_ok());
        assert!(slv.add_clause(vec![3, 4, -b]).is_ok());
        assert!(slv.add_clause(vec![-1, -3, b]).is_ok());
        assert!(slv.add_clause(vec![-1, -4, b]).is_ok());
        assert!(slv.add_clause(vec![-3, -4, b]).is_ok());
        assert!(slv.add_clause(vec![-1, -b]).is_ok());
        assert!(slv.add_clause(vec![-a, -b]).is_ok());
        // let solns: Vec<Vec<i32>> = slv.iter().collect();
        // Use the result of
        // cargo run --features incremental_solver --example all-solutions -- cnfs/isseu-182.cnf
        assert_eq!(slv.iter().count(), 4);
    }
    #[cfg(feature = "incremental_solver")]
    #[test]
    // There was an inconsistency in AssignStack::var_order.
    fn test_add_var_and_add_assignment() {
        let mut slv = Solver::instantiate(
            &Config::default(),
            &CNFDescription {
                num_of_variables: 3 as usize,
                ..CNFDescription::default()
            },
        );

        slv.add_var();
        assert!(slv.add_clause(vec![-1, 4]).is_ok());
        slv.add_var();
        assert!(slv.add_clause(vec![-2, 5]).is_ok());
        slv.add_var();
        assert!(slv.add_clause(vec![-1, -2, 6]).is_ok());
        slv.add_var();
        assert!(slv.add_clause(vec![-5, 7]).is_ok());
        slv.add_var();
        assert!(slv.add_clause(vec![-6, 8]).is_ok());
        slv.add_var();
        assert!(slv.add_clause(vec![-4, 9]).is_ok());
        slv.add_var();
        assert!(slv.add_clause(vec![-3, 10]).is_ok());
        slv.add_var();
        assert!(slv.add_clause(vec![-5, -3, 11]).is_ok());
        assert!(slv.add_clause(vec![-6, -3, 11]).is_ok());
        slv.add_var();
        assert!(slv.add_clause(vec![-4, -3, 12]).is_ok());
        assert!(slv.add_assignment(-11).is_ok());
        assert!(slv.solve().is_ok());
    }
}