shuck-semantic 0.0.38

Semantic analysis model for shell scripts with scopes, bindings, and dataflow
Documentation
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
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
use super::*;

/// Compact numeric name identifier used by the dense bitset matrices.
///
/// Shell variables are sparse strings, but the fixed-point solvers want small
/// integer columns. Interning lets `$PATH`, `$flag`, and `$1` become stable
/// matrix positions while preserving the original `Name` on bindings and
/// references for user-facing queries.
#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash)]
pub(super) struct NameId(pub(super) u32);

impl NameId {
    pub(super) fn index(self) -> usize {
        self.0 as usize
    }
}

#[derive(Debug, Clone, Default)]
pub(super) struct NameTable {
    pub(super) ids_by_name: FxHashMap<Name, NameId>,
}

impl NameTable {
    pub(super) fn intern(&mut self, name: &Name) -> NameId {
        if let Some(id) = self.ids_by_name.get(name).copied() {
            return id;
        }

        let id = NameId(self.ids_by_name.len() as u32);
        self.ids_by_name.insert(name.clone(), id);
        id
    }

    pub(super) fn get(&self, name: &Name) -> Option<NameId> {
        self.ids_by_name.get(name).copied()
    }

    pub(super) fn len(&self) -> usize {
        self.ids_by_name.len()
    }
}

#[derive(Debug, Clone)]
pub(super) struct DenseBindingData {
    pub(super) binding_name_ids: Vec<NameId>,
    pub(super) bindings_for_name: Vec<DenseBitSet>,
    pub(super) next_overwrite: Vec<Option<BindingId>>,
}

#[derive(Debug, Clone)]
pub(super) struct DenseReachingDefinitions {
    pub(super) reaching_in: Vec<DenseBitSet>,
    pub(super) reaching_out: Vec<DenseBitSet>,
}

#[cfg(test)]
pub(crate) fn materialize_reaching_definitions(
    context: &DataflowContext<'_>,
    exact: &ExactVariableDataflow,
) -> ReachingDefinitions {
    materialize_dense_reaching_definitions(context.cfg, exact.reaching_definitions(context))
}

#[cfg(test)]
fn materialize_dense_reaching_definitions(
    cfg: &ControlFlowGraph,
    dense: &DenseReachingDefinitions,
) -> ReachingDefinitions {
    let mut reaching_in = FxHashMap::default();
    let mut reaching_out = FxHashMap::default();

    for block in cfg.blocks() {
        reaching_in.insert(
            block.id,
            dense.reaching_in[block.id.index()]
                .iter_ones()
                .map(|binding_index| BindingId(binding_index as u32))
                .collect::<FxHashSet<_>>(),
        );
        reaching_out.insert(
            block.id,
            dense.reaching_out[block.id.index()]
                .iter_ones()
                .map(|binding_index| BindingId(binding_index as u32))
                .collect::<FxHashSet<_>>(),
        );
    }

    ReachingDefinitions {
        reaching_in,
        reaching_out,
    }
}

#[derive(Debug, Clone)]
pub(super) struct DenseInitializedNameStates {
    /// Names that might be initialized before each block.
    ///
    /// In `if cond; then x=1; fi; echo "$x"`, `x` is in `maybe_in` at the
    /// `echo` block but not in `definite_in`.
    pub(super) maybe_in: DenseBitMatrix,
    pub(super) maybe_out: DenseBitMatrix,
    /// Names that are initialized on every path into or out of each block.
    ///
    /// In `x=1; echo "$x"`, `x` is definite at the `echo`; in a conditional
    /// assignment it is only possible unless all branches initialize it.
    pub(super) definite_in: DenseBitMatrix,
    pub(super) definite_out: DenseBitMatrix,
}

#[derive(Debug, Clone)]
pub(super) struct ExactScopeComponent {
    pub(super) blocks: DenseBitSet,
}

impl ExactScopeComponent {
    fn new(block_count: usize) -> Self {
        Self {
            blocks: DenseBitSet::new(block_count),
        }
    }
}

pub(super) fn build_name_table(
    bindings: &[Binding],
    references: &[Reference],
    synthetic_reads: &[SyntheticRead],
) -> NameTable {
    let mut names = NameTable::default();
    for binding in bindings {
        names.intern(&binding.name);
    }
    for reference in references {
        names.intern(&reference.name);
    }
    for synthetic_read in synthetic_reads {
        names.intern(&synthetic_read.name);
    }
    names
}

pub(super) fn build_dense_binding_data(
    bindings: &[Binding],
    scopes: &[Scope],
    names: &NameTable,
) -> DenseBindingData {
    build_dense_binding_data_for_scope_count(bindings, scopes.len(), names)
}

pub(super) fn build_dense_binding_data_for_scope_count(
    bindings: &[Binding],
    _scope_count: usize,
    names: &NameTable,
) -> DenseBindingData {
    let name_count = names.len();
    let binding_count = bindings.len();
    let mut binding_name_ids = Vec::with_capacity(binding_count);
    let mut bindings_for_name = (0..name_count)
        .map(|_| DenseBitSet::new(binding_count))
        .collect::<Vec<_>>();
    let mut bindings_by_name = vec![Vec::new(); name_count];

    for binding in bindings {
        let Some(name_id) = names.get(&binding.name) else {
            unreachable!("binding name interned");
        };
        binding_name_ids.push(name_id);
        bindings_for_name[name_id.index()].insert(binding.id.index());
        bindings_by_name[name_id.index()].push(binding.id);
    }

    let mut next_overwrite = vec![None; binding_count];
    for binding_ids in bindings_by_name {
        for pair in binding_ids.windows(2) {
            next_overwrite[pair[0].index()] = Some(pair[1]);
        }
    }

    DenseBindingData {
        binding_name_ids,
        bindings_for_name,
        next_overwrite,
    }
}

pub(super) fn build_binding_block_index(
    cfg: &ControlFlowGraph,
    binding_count: usize,
) -> Vec<Option<BlockId>> {
    let mut blocks = vec![None; binding_count];
    for block in cfg.blocks() {
        for binding in &block.bindings {
            blocks[binding.index()] = Some(block.id);
        }
    }
    blocks
}

pub(super) fn build_reference_block_index(
    cfg: &ControlFlowGraph,
    reference_count: usize,
) -> Vec<Option<BlockId>> {
    let mut blocks = vec![None; reference_count];
    for block in cfg.blocks() {
        for reference in &block.references {
            blocks[reference.index()] = Some(block.id);
        }
    }
    blocks
}

pub(super) fn build_unreachable_block_set(cfg: &ControlFlowGraph) -> DenseBitSet {
    let mut unreachable = DenseBitSet::new(cfg.blocks().len());
    for block in cfg.unreachable() {
        unreachable.insert(block.index());
    }
    unreachable
}

pub(super) fn command_block_for_span(cfg: &ControlFlowGraph, span: Span) -> Option<BlockId> {
    cfg.block_ids_for_span(span).last().copied()
}

pub(super) fn compute_reverse_postorder(cfg: &ControlFlowGraph) -> Box<[BlockId]> {
    compute_block_order(cfg, BlockOrderKind::ReversePostorder)
}

pub(super) fn compute_postorder(cfg: &ControlFlowGraph) -> Box<[BlockId]> {
    compute_block_order(cfg, BlockOrderKind::Postorder)
}

#[derive(Clone, Copy)]
enum BlockOrderKind {
    ReversePostorder,
    Postorder,
}

fn compute_block_order(cfg: &ControlFlowGraph, kind: BlockOrderKind) -> Box<[BlockId]> {
    let block_count = cfg.blocks().len();
    let mut visited = DenseBitSet::new(block_count);
    let mut order: Vec<BlockId> = Vec::with_capacity(block_count);

    let mut sources: Vec<BlockId> = Vec::new();
    sources.push(cfg.entry());
    sources.extend(cfg.scope_entries.values().copied());
    for block in cfg.blocks() {
        if cfg.predecessors(block.id).is_empty() {
            sources.push(block.id);
        }
    }

    enum Frame {
        Enter(BlockId),
        Exit(BlockId),
    }
    let mut stack: Vec<Frame> = Vec::new();
    for source in sources {
        if visited.contains(source.index()) {
            continue;
        }
        stack.push(Frame::Enter(source));
        while let Some(frame) = stack.pop() {
            match frame {
                Frame::Enter(block) => {
                    if visited.contains(block.index()) {
                        continue;
                    }
                    visited.insert(block.index());
                    stack.push(Frame::Exit(block));
                    for (successor, _) in cfg.successors(block) {
                        if !visited.contains(successor.index()) {
                            stack.push(Frame::Enter(*successor));
                        }
                    }
                }
                Frame::Exit(block) => order.push(block),
            }
        }
    }

    for block in cfg.blocks() {
        if !visited.contains(block.id.index()) {
            order.push(block.id);
        }
    }

    if matches!(kind, BlockOrderKind::ReversePostorder) {
        order.reverse();
    }
    order.into_boxed_slice()
}

fn run_forward_dataflow_worklist<F>(cfg: &ControlFlowGraph, rpo: &[BlockId], mut transfer: F)
where
    F: FnMut(BlockId) -> bool,
{
    let block_count = cfg.blocks().len();
    let mut dirty = DenseBitSet::new(block_count);
    for block in rpo {
        dirty.insert(block.index());
    }

    while !dirty.is_empty() {
        for &block in rpo {
            if !dirty.contains(block.index()) {
                continue;
            }
            dirty.remove(block.index());
            if transfer(block) {
                for (successor, _) in cfg.successors(block) {
                    dirty.insert(successor.index());
                }
            }
        }
    }
}

pub(super) fn run_backward_dataflow_worklist<F>(
    cfg: &ControlFlowGraph,
    postorder: &[BlockId],
    mut transfer: F,
) where
    F: FnMut(BlockId) -> bool,
{
    let block_count = cfg.blocks().len();
    let mut dirty = DenseBitSet::new(block_count);
    for block in postorder {
        dirty.insert(block.index());
    }

    while !dirty.is_empty() {
        for &block in postorder {
            if !dirty.contains(block.index()) {
                continue;
            }
            dirty.remove(block.index());
            if transfer(block) {
                for predecessor in cfg.predecessors(block) {
                    dirty.insert(predecessor.index());
                }
            }
        }
    }
}

pub(super) fn compute_reaching_definitions_dense(
    cfg: &ControlFlowGraph,
    bindings: &[Binding],
    binding_data: &DenseBindingData,
    entry_bindings: &[BindingId],
    forward_order: &[BlockId],
) -> DenseReachingDefinitions {
    let entry_blocks = entry_binding_root_blocks(cfg);
    let block_count = cfg.blocks().len();
    let binding_count = bindings.len();
    let name_count = binding_data.bindings_for_name.len();
    let block_bindings = cfg
        .blocks()
        .iter()
        .map(|block| {
            let mut bitset = DenseBitSet::new(binding_count);
            for binding in &block.bindings {
                bitset.insert(binding.index());
            }
            bitset
        })
        .collect::<Vec<_>>();
    let gen_sets = cfg
        .blocks()
        .iter()
        .map(|block| {
            let mut generated = DenseBitSet::new(binding_count);
            for binding in &block.bindings {
                let binding_info = &bindings[binding.index()];
                if matches!(binding_info.kind, BindingKind::AppendAssignment) {
                    generated.insert(binding.index());
                    continue;
                }

                let name_id = binding_data.binding_name_ids[binding.index()];
                generated.subtract_with(&binding_data.bindings_for_name[name_id.index()]);
                generated.insert(binding.index());
            }
            generated
        })
        .collect::<Vec<_>>();
    let kill_sets = cfg
        .blocks()
        .iter()
        .enumerate()
        .map(|(block_index, block)| {
            let mut overwritten_names = DenseBitSet::new(name_count);
            for binding in &block.bindings {
                if !matches!(
                    bindings[binding.index()].kind,
                    BindingKind::AppendAssignment
                ) {
                    overwritten_names
                        .insert(binding_data.binding_name_ids[binding.index()].index());
                }
            }

            let mut killed = DenseBitSet::new(binding_count);
            for name_index in overwritten_names.iter_ones() {
                killed.union_with(&binding_data.bindings_for_name[name_index]);
            }
            killed.subtract_with(&block_bindings[block_index]);
            killed
        })
        .collect::<Vec<_>>();

    let mut reaching_in = vec![DenseBitSet::new(binding_count); block_count];
    let mut reaching_out = vec![DenseBitSet::new(binding_count); block_count];
    let mut incoming = DenseBitSet::new(binding_count);
    let mut carried = DenseBitSet::new(binding_count);
    let mut outgoing = DenseBitSet::new(binding_count);

    run_forward_dataflow_worklist(cfg, forward_order, |block_id| {
        let block_index = block_id.index();
        incoming.clear();
        for predecessor in cfg.predecessors(block_id) {
            incoming.union_with(&reaching_out[predecessor.index()]);
        }
        if entry_blocks.contains(&block_id) {
            for binding in entry_bindings {
                incoming.insert(binding.index());
            }
        }

        carried.copy_from(&incoming);
        carried.subtract_with(&kill_sets[block_index]);
        outgoing.copy_from(&gen_sets[block_index]);
        outgoing.union_with(&carried);

        reaching_in[block_index].replace_if_changed(&incoming);
        reaching_out[block_index].replace_if_changed(&outgoing)
    });

    DenseReachingDefinitions {
        reaching_in,
        reaching_out,
    }
}

pub(super) fn compute_initialized_name_states_dense(
    cfg: &ControlFlowGraph,
    bindings: &[Binding],
    binding_data: &DenseBindingData,
    entry_bindings: &[BindingId],
    forward_order: &[BlockId],
) -> DenseInitializedNameStates {
    compute_initialized_name_states_dense_with_extra_name_gens(
        cfg,
        bindings,
        binding_data,
        entry_bindings,
        &[],
        forward_order,
    )
}

pub(super) fn compute_initialized_name_states_dense_with_extra_name_gens(
    cfg: &ControlFlowGraph,
    bindings: &[Binding],
    binding_data: &DenseBindingData,
    entry_bindings: &[BindingId],
    extra_initialized_names: &[(BlockId, NameId)],
    forward_order: &[BlockId],
) -> DenseInitializedNameStates {
    let entry_blocks = entry_binding_root_blocks(cfg);
    let block_count = cfg.blocks().len();
    let name_count = binding_data.bindings_for_name.len();
    let mut maybe_gen = DenseBitMatrix::zeros(block_count, name_count);
    let mut definite_gen = DenseBitMatrix::zeros(block_count, name_count);
    let mut overwritten_names = DenseBitMatrix::zeros(block_count, name_count);

    for block in cfg.blocks() {
        let block_index = block.id.index();
        for binding in &block.bindings {
            let name_id = binding_data.binding_name_ids[binding.index()];
            overwritten_names.insert(block_index, name_id.index());
            match binding_initializes_name(&bindings[binding.index()]) {
                Some(ContractCertainty::Definite) => {
                    maybe_gen.insert(block_index, name_id.index());
                    definite_gen.insert(block_index, name_id.index());
                }
                Some(ContractCertainty::Possible) => {
                    maybe_gen.insert(block_index, name_id.index());
                }
                None => {}
            }
        }
    }

    for (block, name) in extra_initialized_names {
        maybe_gen.insert(block.index(), name.index());
        definite_gen.insert(block.index(), name.index());
    }

    let mut entry_maybe = DenseBitSet::new(name_count);
    let mut entry_definite = DenseBitSet::new(name_count);
    for binding in entry_bindings {
        let name_id = binding_data.binding_name_ids[binding.index()];
        match binding_initializes_name(&bindings[binding.index()]) {
            Some(ContractCertainty::Definite) => {
                entry_maybe.insert(name_id.index());
                entry_definite.insert(name_id.index());
            }
            Some(ContractCertainty::Possible) => {
                entry_maybe.insert(name_id.index());
            }
            None => {}
        }
    }

    let mut all_names = DenseBitSet::new(name_count);
    for index in 0..name_count {
        all_names.insert(index);
    }

    let mut maybe_in = DenseBitMatrix::zeros(block_count, name_count);
    let mut maybe_out = DenseBitMatrix::zeros(block_count, name_count);
    let mut definite_in = DenseBitMatrix::zeros(block_count, name_count);
    definite_in.fill_all_rows_from_words(all_names.as_words());
    let mut definite_out = DenseBitMatrix::zeros(block_count, name_count);
    definite_out.fill_all_rows_from_words(all_names.as_words());
    let mut incoming_maybe = DenseBitSet::new(name_count);
    let mut incoming_definite = DenseBitSet::new(name_count);
    let mut outgoing_maybe = DenseBitSet::new(name_count);
    let mut outgoing_definite = DenseBitSet::new(name_count);

    run_forward_dataflow_worklist(cfg, forward_order, |block_id| {
        let block_index = block_id.index();

        incoming_maybe.clear();
        for predecessor in cfg.predecessors(block_id) {
            incoming_maybe.union_with_words(maybe_out.row(predecessor.index()));
        }
        if entry_blocks.contains(&block_id) {
            incoming_maybe.union_with(&entry_maybe);
        }

        let predecessors = cfg.predecessors(block_id);
        let uses_virtual_entry_boundary = entry_blocks.contains(&block_id)
            && predecessors.iter().all(|predecessor| {
                cfg.successors(*predecessor)
                    .iter()
                    .any(|(successor, kind)| *successor == block_id && *kind == EdgeKind::LoopBack)
            });
        if uses_virtual_entry_boundary {
            incoming_definite.copy_from(&entry_definite);
        } else if let Some(first_predecessor) = predecessors.first() {
            incoming_definite.copy_from_words(definite_out.row(first_predecessor.index()));
        } else {
            incoming_definite.clear();
        }
        for (predecessor_index, predecessor) in predecessors.iter().enumerate() {
            if !uses_virtual_entry_boundary && predecessor_index == 0 {
                continue;
            }
            incoming_definite.intersect_with_words(definite_out.row(predecessor.index()));
        }

        outgoing_maybe.copy_from(&incoming_maybe);
        outgoing_maybe.subtract_with_words(overwritten_names.row(block_index));
        outgoing_maybe.union_with_words(maybe_gen.row(block_index));

        outgoing_definite.copy_from(&incoming_definite);
        outgoing_definite.subtract_with_words(overwritten_names.row(block_index));
        outgoing_definite.union_with_words(definite_gen.row(block_index));

        maybe_in.replace_row_if_changed(block_index, incoming_maybe.as_words());
        definite_in.replace_row_if_changed(block_index, incoming_definite.as_words());
        let maybe_out_changed =
            maybe_out.replace_row_if_changed(block_index, outgoing_maybe.as_words());
        let definite_out_changed =
            definite_out.replace_row_if_changed(block_index, outgoing_definite.as_words());
        maybe_out_changed || definite_out_changed
    });

    DenseInitializedNameStates {
        maybe_in,
        maybe_out,
        definite_in,
        definite_out,
    }
}

fn entry_binding_root_blocks(cfg: &ControlFlowGraph) -> FxHashSet<BlockId> {
    cfg.scope_entries
        .values()
        .copied()
        .chain(
            cfg.blocks()
                .iter()
                .filter(|block| cfg.predecessors(block.id).is_empty())
                .map(|block| block.id),
        )
        .collect()
}

pub(super) fn compute_scope_components_dense(
    cfg: &ControlFlowGraph,
    scope_count: usize,
    block_count: usize,
) -> Vec<ExactScopeComponent> {
    let mut components = (0..scope_count)
        .map(|_| ExactScopeComponent::new(block_count))
        .collect::<Vec<_>>();

    for (scope, entry) in &cfg.scope_entries {
        let blocks = reachable_blocks_dense(cfg, *entry, block_count);
        components[scope.index()] = ExactScopeComponent { blocks };
    }

    components
}

pub(super) fn block_exits_component(
    cfg: &ControlFlowGraph,
    component_blocks: &DenseBitSet,
    block_id: BlockId,
) -> bool {
    let successors = cfg.successors(block_id);
    successors.is_empty()
        || successors
            .iter()
            .any(|(successor, _)| !component_blocks.contains(successor.index()))
}