CBMC
reaching_definitions.cpp
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1 /*******************************************************************\
2 
3 Module: Range-based reaching definitions analysis (following Field-
4  Sensitive Program Dependence Analysis, Litvak et al., FSE 2010)
5 
6 Author: Michael Tautschnig
7 
8 Date: February 2013
9 
10 \*******************************************************************/
11 
15 
16 #include "reaching_definitions.h"
17 
18 #include <util/base_exceptions.h> // IWYU pragma: keep
20 
22 
23 #include "dirty.h"
24 #include "is_threaded.h"
25 
26 #include <memory>
27 
31 class rd_range_domain_factoryt : public ai_domain_factoryt<rd_range_domaint>
32 {
33 public:
38  {
39  PRECONDITION(bv_container != nullptr);
40  }
41 
42  std::unique_ptr<statet> make(locationt) const override
43  {
44  auto p = std::make_unique<rd_range_domaint>(bv_container, message_handler);
45  CHECK_RETURN(p->is_bottom());
46  return std::unique_ptr<statet>(p.release());
47  }
48 
49 private:
52 };
53 
55  const namespacet &_ns,
56  message_handlert &message_handler)
58  std::make_unique<rd_range_domain_factoryt>(this, message_handler)),
59  ns(_ns)
60 {
61 }
62 
64 
73 void rd_range_domaint::populate_cache(const irep_idt &identifier) const
74 {
76 
77  valuest::const_iterator v_entry=values.find(identifier);
78  if(v_entry==values.end() ||
79  v_entry->second.empty())
80  return;
81 
82  ranges_at_loct &export_entry=export_cache[identifier];
83 
84  for(const auto &id : v_entry->second)
85  {
87 
88  export_entry[v.definition_at].insert(
89  std::make_pair(v.bit_begin, v.bit_end));
90  }
91 }
92 
94  const irep_idt &function_from,
95  trace_ptrt trace_from,
96  const irep_idt &function_to,
97  trace_ptrt trace_to,
98  ai_baset &ai,
99  const namespacet &ns)
100 {
101  locationt from{trace_from->current_location()};
102  locationt to{trace_to->current_location()};
103 
105  dynamic_cast<reaching_definitions_analysist*>(&ai);
107  rd!=nullptr,
109  "ai has type reaching_definitions_analysist");
110 
112 
113  // kill values
114  if(from->is_dead())
115  transform_dead(ns, from);
116  // kill thread-local values
117  else if(from->is_start_thread())
118  transform_start_thread(ns, *rd);
119  // do argument-to-parameter assignments
120  else if(from->is_function_call())
121  transform_function_call(ns, function_from, from, function_to, *rd);
122  // cleanup parameters
123  else if(from->is_end_function())
124  transform_end_function(ns, function_from, from, function_to, to, *rd);
125  // lhs assignments
126  else if(from->is_assign())
127  transform_assign(ns, from, function_from, from, *rd);
128  // initial (non-deterministic) value
129  else if(from->is_decl())
130  transform_assign(ns, from, function_from, from, *rd);
131  // array_set, array_copy, array_replace have side effects
132  else if(from->is_other())
133  transform_assign(ns, from, function_from, from, *rd);
134 }
135 
139  const namespacet &,
140  locationt from)
141 {
142  const irep_idt &identifier = from->dead_symbol().get_identifier();
143 
144  valuest::iterator entry=values.find(identifier);
145 
146  if(entry!=values.end())
147  {
148  values.erase(entry);
149  export_cache.erase(identifier);
150  }
151 }
152 
154  const namespacet &ns,
156 {
157  for(valuest::iterator it=values.begin();
158  it!=values.end();
159  ) // no ++it
160  {
161  const irep_idt &identifier=it->first;
162 
163  if(!ns.lookup(identifier).is_shared() &&
164  !rd.get_is_dirty()(identifier))
165  {
166  export_cache.erase(identifier);
167 
168  valuest::iterator next=it;
169  ++next;
170  values.erase(it);
171  it=next;
172  }
173  else
174  ++it;
175  }
176 }
177 
179  const namespacet &ns,
180  const irep_idt &function_from,
181  locationt from,
182  const irep_idt &function_to,
184 {
185  // only if there is an actual call, i.e., we have a body
186  const symbol_exprt &fn_symbol_expr = to_symbol_expr(from->call_function());
187  if(function_to == fn_symbol_expr.get_identifier())
188  {
189  for(valuest::iterator it=values.begin();
190  it!=values.end();
191  ) // no ++it
192  {
193  const irep_idt &identifier=it->first;
194 
195  // dereferencing may introduce extra symbols
196  const symbolt *sym;
197  if((ns.lookup(identifier, sym) ||
198  !sym->is_shared()) &&
199  !rd.get_is_dirty()(identifier))
200  {
201  export_cache.erase(identifier);
202 
203  valuest::iterator next=it;
204  ++next;
205  values.erase(it);
206  it=next;
207  }
208  else
209  ++it;
210  }
211 
212  const code_typet &code_type=
213  to_code_type(ns.lookup(fn_symbol_expr.get_identifier()).type);
214 
215  for(const auto &param : code_type.parameters())
216  {
217  const irep_idt &identifier=param.get_identifier();
218 
219  if(identifier.empty())
220  continue;
221 
222  auto param_bits = pointer_offset_bits(param.type(), ns);
223  if(param_bits.has_value())
224  {
225  gen(
226  from,
227  identifier,
228  range_spect{0},
229  range_spect::to_range_spect(*param_bits));
230  }
231  else
232  gen(from, identifier, range_spect{0}, range_spect::unknown());
233  }
234  }
235  else
236  {
237  // handle return values of undefined functions
238  if(from->call_lhs().is_not_nil())
239  transform_assign(ns, from, function_from, from, rd);
240  }
241 }
242 
244  const namespacet &ns,
245  const irep_idt &function_from,
246  locationt from,
247  const irep_idt &function_to,
248  locationt to,
250 {
251  locationt call = to;
252  --call;
253 
254  valuest new_values;
255  new_values.swap(values);
256  values=rd[call].values;
257 
258  for(const auto &new_value : new_values)
259  {
260  const irep_idt &identifier=new_value.first;
261 
262  if(!rd.get_is_threaded()(call) ||
263  (!ns.lookup(identifier).is_shared() &&
264  !rd.get_is_dirty()(identifier)))
265  {
266  for(const auto &id : new_value.second)
267  {
268  const reaching_definitiont &v=bv_container->get(id);
269  kill(v.identifier, v.bit_begin, v.bit_end);
270  }
271  }
272 
273  for(const auto &id : new_value.second)
274  {
275  const reaching_definitiont &v=bv_container->get(id);
277  }
278  }
279 
280  const code_typet &code_type = to_code_type(ns.lookup(function_from).type);
281 
282  for(const auto &param : code_type.parameters())
283  {
284  const irep_idt &identifier=param.get_identifier();
285 
286  if(identifier.empty())
287  continue;
288 
289  valuest::iterator entry=values.find(identifier);
290 
291  if(entry!=values.end())
292  {
293  values.erase(entry);
294  export_cache.erase(identifier);
295  }
296  }
297 
298  // handle return values
299  if(call->call_lhs().is_not_nil())
300  {
301  transform_assign(ns, from, function_to, call, rd);
302  }
303 }
304 
306  const namespacet &ns,
307  locationt from,
308  const irep_idt &function_to,
309  locationt to,
311 {
313  goto_rw(function_to, to, rw_set);
314  const bool is_must_alias=rw_set.get_w_set().size()==1;
315 
316  for(const auto &written_object_entry : rw_set.get_w_set())
317  {
318  const irep_idt &identifier = written_object_entry.first;
319  // ignore symex::invalid_object
320  const symbolt *symbol_ptr;
321  if(ns.lookup(identifier, symbol_ptr))
322  continue;
324  symbol_ptr!=nullptr,
326  "Symbol is in symbol table");
327 
328  const range_domaint &ranges =
329  rw_set.get_ranges(written_object_entry.second);
330 
331  if(is_must_alias &&
332  (!rd.get_is_threaded()(from) ||
333  (!symbol_ptr->is_shared() &&
334  !rd.get_is_dirty()(identifier))))
335  for(const auto &range : ranges)
336  kill(identifier, range.first, range.second);
337 
338  for(const auto &range : ranges)
339  gen(from, identifier, range.first, range.second);
340  }
341 }
342 
344  const irep_idt &identifier,
345  const range_spect &range_start,
346  const range_spect &range_end)
347 {
348  PRECONDITION(range_start >= range_spect{0});
349 
350  if(range_end.is_unknown())
351  {
352  kill_inf(identifier, range_start);
353  return;
354  }
355 
356  PRECONDITION(range_end > range_start);
357 
358  valuest::iterator entry=values.find(identifier);
359  if(entry==values.end())
360  return;
361 
362  bool clear_export_cache=false;
363  values_innert new_values;
364 
365  for(values_innert::iterator
366  it=entry->second.begin();
367  it!=entry->second.end();
368  ) // no ++it
369  {
370  const reaching_definitiont &v=bv_container->get(*it);
371 
372  if(v.bit_begin >= range_end)
373  ++it;
374  else if(!v.bit_end.is_unknown() && v.bit_end <= range_start)
375  {
376  ++it;
377  }
378  else if(
379  v.bit_begin >= range_start && !v.bit_end.is_unknown() &&
380  v.bit_end <= range_end) // rs <= a < b <= re
381  {
382  clear_export_cache=true;
383 
384  entry->second.erase(it++);
385  }
386  else if(v.bit_begin >= range_start) // rs <= a <= re < b
387  {
388  clear_export_cache=true;
389 
390  reaching_definitiont v_new=v;
391  v_new.bit_begin=range_end;
392  new_values.insert(bv_container->add(v_new));
393 
394  entry->second.erase(it++);
395  }
396  else if(v.bit_end.is_unknown() || v.bit_end > range_end) // a <= rs < re < b
397  {
398  clear_export_cache=true;
399 
400  reaching_definitiont v_new=v;
401  v_new.bit_end=range_start;
402 
403  reaching_definitiont v_new2=v;
404  v_new2.bit_begin=range_end;
405 
406  new_values.insert(bv_container->add(v_new));
407  new_values.insert(bv_container->add(v_new2));
408 
409  entry->second.erase(it++);
410  }
411  else // a <= rs < b <= re
412  {
413  clear_export_cache=true;
414 
415  reaching_definitiont v_new=v;
416  v_new.bit_end=range_start;
417  new_values.insert(bv_container->add(v_new));
418 
419  entry->second.erase(it++);
420  }
421  }
422 
423  if(clear_export_cache)
424  export_cache.erase(identifier);
425 
426  values_innert::iterator it=entry->second.begin();
427  for(const auto &id : new_values)
428  {
429  while(it!=entry->second.end() && *it<id)
430  ++it;
431  if(it==entry->second.end() || id<*it)
432  {
433  entry->second.insert(it, id);
434  }
435  else if(it!=entry->second.end())
436  {
437  DATA_INVARIANT(*it == id, "entries must match");
438  ++it;
439  }
440  }
441 }
442 
444  const irep_idt &,
445  const range_spect &range_start)
446 {
447  PRECONDITION(range_start >= range_spect{0});
448 
449 #if 0
450  valuest::iterator entry=values.find(identifier);
451  if(entry==values.end())
452  return;
453 
454  XXX export_cache_available=false;
455 
456  // makes the analysis underapproximating
457  rangest &ranges=entry->second;
458 
459  for(rangest::iterator it=ranges.begin();
460  it!=ranges.end();
461  ) // no ++it
462  if(it->second.first!=-1 &&
463  it->second.first <= range_start)
464  ++it;
465  else if(it->first >= range_start) // rs <= a < b <= re
466  {
467  ranges.erase(it++);
468  }
469  else // a <= rs < b < re
470  {
471  it->second.first=range_start;
472  ++it;
473  }
474 #endif
475 }
476 
482  locationt from,
483  const irep_idt &identifier,
484  const range_spect &range_start,
485  const range_spect &range_end)
486 {
487  // objects of size 0 like union U { signed : 0; };
488  if(range_start == range_spect{0} && range_end == range_spect{0})
489  return false;
490 
491  PRECONDITION(range_start >= range_spect{0});
492  PRECONDITION(range_end == range_spect::unknown() || range_end > range_start);
493 
494  reaching_definitiont v{identifier, from, range_start, range_end};
495  if(!values[identifier].insert(bv_container->add(v)).second)
496  return false;
497 
498  export_cache.erase(identifier);
499 
500 #if 0
501  range_spect merged_range_end=range_end;
502 
503  std::pair<valuest::iterator, bool> entry=
504  values.insert(std::make_pair(identifier, rangest()));
505  rangest &ranges=entry.first->second;
506 
507  if(!entry.second)
508  {
509  for(rangest::iterator it=ranges.begin();
510  it!=ranges.end();
511  ) // no ++it
512  {
513  if(it->second.second!=from ||
514  (it->second.first!=-1 && it->second.first <= range_start) ||
515  (range_end!=-1 && it->first >= range_end))
516  ++it;
517  else if(it->first > range_start) // rs < a < b,re
518  {
519  if(range_end!=-1)
520  merged_range_end=std::max(range_end, it->second.first);
521  ranges.erase(it++);
522  }
523  else if(it->second.first==-1 ||
524  (range_end!=-1 &&
525  it->second.first >= range_end)) // a <= rs < re <= b
526  {
527  // nothing to do
528  return false;
529  }
530  else // a <= rs < b < re
531  {
532  it->second.first=range_end;
533  return true;
534  }
535  }
536  }
537 
538  ranges.insert(std::make_pair(
539  range_start,
540  std::make_pair(merged_range_end, from)));
541 #endif
542 
543  return true;
544 }
545 
546 void rd_range_domaint::output(std::ostream &out) const
547 {
548  out << "Reaching definitions:\n";
549 
550  if(has_values.is_known())
551  {
552  out << has_values.to_string() << '\n';
553  return;
554  }
555 
556  for(const auto &value : values)
557  {
558  const irep_idt &identifier=value.first;
559 
560  const ranges_at_loct &ranges=get(identifier);
561 
562  out << " " << identifier << "[";
563 
564  for(ranges_at_loct::const_iterator itl=ranges.begin();
565  itl!=ranges.end();
566  ++itl)
567  for(rangest::const_iterator itr=itl->second.begin();
568  itr!=itl->second.end();
569  ++itr)
570  {
571  if(itr!=itl->second.begin() ||
572  itl!=ranges.begin())
573  out << ";";
574 
575  out << itr->first << ":" << itr->second;
576  out << "@" << itl->first->location_number;
577  }
578 
579  out << "]\n";
580 
581  clear_cache(identifier);
582  }
583 }
584 
587  values_innert &dest,
588  const values_innert &other)
589 {
590  bool more=false;
591 
592 #if 0
593  ranges_at_loct::iterator itr=it->second.begin();
594  for(const auto &o : ito->second)
595  {
596  while(itr!=it->second.end() && itr->first<o.first)
597  ++itr;
598  if(itr==it->second.end() || o.first<itr->first)
599  {
600  it->second.insert(o);
601  more=true;
602  }
603  else if(itr!=it->second.end())
604  {
605  assert(itr->first==o.first);
606 
607  for(const auto &o_range : o.second)
608  more=gen(itr->second, o_range.first, o_range.second) ||
609  more;
610 
611  ++itr;
612  }
613  }
614 #else
615  values_innert::iterator itr=dest.begin();
616  for(const auto &id : other)
617  {
618  while(itr!=dest.end() && *itr<id)
619  ++itr;
620  if(itr==dest.end() || id<*itr)
621  {
622  dest.insert(itr, id);
623  more=true;
624  }
625  else if(itr!=dest.end())
626  {
627  DATA_INVARIANT(*itr == id, "entries must match");
628  ++itr;
629  }
630  }
631 #endif
632 
633  return more;
634 }
635 
637  const rd_range_domaint &other,
638  trace_ptrt,
639  trace_ptrt)
640 {
641  bool changed=has_values.is_false();
643 
644  valuest::iterator it=values.begin();
645  for(const auto &value : other.values)
646  {
647  while(it!=values.end() && it->first<value.first)
648  ++it;
649  if(it==values.end() || value.first<it->first)
650  {
651  values.insert(value);
652  changed=true;
653  }
654  else if(it!=values.end())
655  {
656  DATA_INVARIANT(it->first == value.first, "entries must match");
657 
658  if(merge_inner(it->second, value.second))
659  {
660  changed=true;
661  export_cache.erase(it->first);
662  }
663 
664  ++it;
665  }
666  }
667 
668  return changed;
669 }
670 
673  const rd_range_domaint &other,
674  locationt,
675  locationt,
676  const namespacet &ns)
677 {
678  // TODO: dirty vars
679 #if 0
681  dynamic_cast<reaching_definitions_analysist*>(&ai);
682  assert(rd!=0);
683 #endif
684 
685  bool changed=has_values.is_false();
687 
688  valuest::iterator it=values.begin();
689  for(const auto &value : other.values)
690  {
691  const irep_idt &identifier=value.first;
692 
693  if(!ns.lookup(identifier).is_shared()
694  /*&& !rd.get_is_dirty()(identifier)*/)
695  continue;
696 
697  while(it!=values.end() && it->first<value.first)
698  ++it;
699  if(it==values.end() || value.first<it->first)
700  {
701  values.insert(value);
702  changed=true;
703  }
704  else if(it!=values.end())
705  {
706  DATA_INVARIANT(it->first == value.first, "entries must match");
707 
708  if(merge_inner(it->second, value.second))
709  {
710  changed=true;
711  export_cache.erase(it->first);
712  }
713 
714  ++it;
715  }
716  }
717 
718  return changed;
719 }
720 
722  const irep_idt &identifier) const
723 {
724  populate_cache(identifier);
725 
726  static ranges_at_loct empty;
727 
728  export_cachet::const_iterator entry=export_cache.find(identifier);
729 
730  if(entry==export_cache.end())
731  return empty;
732  else
733  return entry->second;
734 }
735 
737  const goto_functionst &goto_functions)
738 {
739  auto value_sets_ = std::make_unique<value_set_analysis_fit>(ns);
740  (*value_sets_)(goto_functions);
741  value_sets=std::move(value_sets_);
742 
743  is_threaded = std::make_unique<is_threadedt>(goto_functions);
744 
745  is_dirty = std::make_unique<dirtyt>(goto_functions);
746 
748 }
Generic exception types primarily designed for use with invariants.
This is the basic interface of the abstract interpreter with default implementations of the core func...
Definition: ai.h:117
virtual void initialize(const irep_idt &function_id, const goto_programt &goto_program)
Initialize all the abstract states for a single function.
Definition: ai.cpp:194
ai_history_baset::trace_ptrt trace_ptrt
Definition: ai_domain.h:73
goto_programt::const_targett locationt
Definition: ai_domain.h:72
ai_domain_baset::locationt locationt
Definition: ai_domain.h:174
Base type of functions.
Definition: std_types.h:583
const parameterst & parameters() const
Definition: std_types.h:699
Base class for concurrency-aware abstract interpretation.
Definition: ai.h:651
dstringt has one field, an unsigned integer no which is an index into a static table of strings.
Definition: dstring.h:38
bool empty() const
Definition: dstring.h:89
A collection of goto functions.
A namespacet is essentially one or two symbol tables bound together, to allow for symbol lookups in t...
Definition: namespace.h:94
bool lookup(const irep_idt &name, const symbolt *&symbol) const override
See documentation for namespace_baset::lookup().
Definition: namespace.cpp:148
Data type to describe upper and lower bounds of the range of bits that a read or write access may aff...
Definition: goto_rw.h:61
static range_spect unknown()
Definition: goto_rw.h:69
static range_spect to_range_spect(const mp_integer &size)
Definition: goto_rw.h:79
bool is_unknown() const
Definition: goto_rw.h:74
This ensures that all domains are constructed with the appropriate pointer back to the analysis engin...
rd_range_domain_factoryt(sparse_bitvector_analysist< reaching_definitiont > *_bv_container, message_handlert &message_handler)
message_handlert & message_handler
sparse_bitvector_analysist< reaching_definitiont > *const bv_container
std::unique_ptr< statet > make(locationt) const override
Because the class is inherited from ai_domain_baset, its instance represents an element of a domain o...
void populate_cache(const irep_idt &identifier) const
Given the passed variable name identifier it collects data from bv_container for each ID in values[id...
export_cachet export_cache
It is a helper data structure.
void output(std::ostream &out, const ai_baset &, const namespacet &) const final override
void kill_inf(const irep_idt &identifier, const range_spect &range_start)
void transform_dead(const namespacet &ns, locationt from)
Computes an instance obtained from a *this by transformation over DEAD v GOTO instruction.
void transform_start_thread(const namespacet &ns, reaching_definitions_analysist &rd)
const ranges_at_loct & get(const irep_idt &identifier) const
void clear_cache(const irep_idt &identifier) const
sparse_bitvector_analysist< reaching_definitiont > *const bv_container
It points to the actual reaching definitions data of individual program variables.
void transform_function_call(const namespacet &ns, const irep_idt &function_from, locationt from, const irep_idt &function_to, reaching_definitions_analysist &rd)
bool merge(const rd_range_domaint &other, trace_ptrt from, trace_ptrt to)
Implements the "join" operation of two instances *this and other.
void transform_end_function(const namespacet &ns, const irep_idt &function_from, locationt from, const irep_idt &function_to, locationt to, reaching_definitions_analysist &rd)
void transform_assign(const namespacet &ns, locationt from, const irep_idt &function_to, locationt to, reaching_definitions_analysist &rd)
bool merge_inner(values_innert &dest, const values_innert &other)
std::multimap< range_spect, range_spect > rangest
bool gen(locationt from, const irep_idt &identifier, const range_spect &range_start, const range_spect &range_end)
A utility function which updates internal data structures by inserting a new reaching definition reco...
void kill(const irep_idt &identifier, const range_spect &range_start, const range_spect &range_end)
std::map< locationt, rangest, goto_programt::target_less_than > ranges_at_loct
tvt has_values
This (three value logic) flag determines, whether the instance represents top, bottom,...
void transform(const irep_idt &function_from, trace_ptrt trace_from, const irep_idt &function_to, trace_ptrt trace_to, ai_baset &ai, const namespacet &ns) final override
Computes an instance obtained from the instance *this by transformation over a GOTO instruction refer...
std::map< irep_idt, values_innert > valuest
valuest values
It is an ordered map from program variable names to IDs of reaching_definitiont instances stored in m...
bool merge_shared(const rd_range_domaint &other, locationt from, locationt to, const namespacet &ns)
std::set< std::size_t > values_innert
message_handlert & message_handler
const is_threadedt & get_is_threaded() const
std::unique_ptr< is_threadedt > is_threaded
std::unique_ptr< dirtyt > is_dirty
std::unique_ptr< value_setst > value_sets
value_setst & get_value_sets() const
reaching_definitions_analysist(const namespacet &_ns, message_handlert &)
const dirtyt & get_is_dirty() const
void initialize(const goto_functionst &goto_functions) override
Initialize all the abstract states for a whole program.
const range_domaint & get_ranges(const std::unique_ptr< range_domain_baset > &ranges) const
Definition: goto_rw.h:226
const objectst & get_w_set() const
Definition: goto_rw.h:220
const V & get(const std::size_t value_index) const
std::vector< typename inner_mapt::const_iterator > values
It is a map from an ID to the corresponding reaching_definitiont instance inside the map value_map.
std::size_t add(const V &value)
Expression to hold a symbol (variable)
Definition: std_expr.h:131
const irep_idt & get_identifier() const
Definition: std_expr.h:160
Symbol table entry.
Definition: symbol.h:28
bool is_shared() const
Definition: symbol.h:101
bool is_known() const
Definition: threeval.h:28
const char * to_string() const
Definition: threeval.cpp:13
bool is_false() const
Definition: threeval.h:26
static tvt unknown()
Definition: threeval.h:33
Variables whose address is taken.
static void goto_rw(const irep_idt &function, goto_programt::const_targett target, const exprt &lhs, const exprt &function_expr, const exprt::operandst &arguments, rw_range_sett &rw_set)
Definition: goto_rw.cpp:845
Over-approximate Concurrency for Threaded Goto Programs.
std::optional< mp_integer > pointer_offset_bits(const typet &type, const namespacet &ns)
Pointer Logic.
Range-based reaching definitions analysis (following Field- Sensitive Program Dependence Analysis,...
#define INVARIANT_STRUCTURED(CONDITION, TYPENAME,...)
Definition: invariant.h:407
#define CHECK_RETURN(CONDITION)
Definition: invariant.h:495
#define DATA_INVARIANT(CONDITION, REASON)
This condition should be used to document that assumptions that are made on goto_functions,...
Definition: invariant.h:534
#define PRECONDITION(CONDITION)
Definition: invariant.h:463
const symbol_exprt & to_symbol_expr(const exprt &expr)
Cast an exprt to a symbol_exprt.
Definition: std_expr.h:272
const code_typet & to_code_type(const typet &type)
Cast a typet to a code_typet.
Definition: std_types.h:788
Identifies a GOTO instruction where a given variable is defined (i.e.
range_spect bit_begin
The two integers below define a range of bits (i.e.
ai_domain_baset::locationt definition_at
The iterator to the GOTO instruction where the variable has been written to.
irep_idt identifier
The name of the variable which was defined.
Value Set Propagation (flow insensitive)