CBMC
loop_utils.cpp
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1 /*******************************************************************\
2 
3 Module: Helper functions for k-induction and loop invariants
4 
5 Author: Daniel Kroening, kroening@kroening.com
6 
7 \*******************************************************************/
8 
11 
12 #include "loop_utils.h"
13 
15 
17 
18 #include <util/pointer_expr.h>
19 #include <util/std_expr.h>
20 
22 {
23  PRECONDITION(!loop.empty());
24 
25  // find the last instruction in the loop
26  std::map<unsigned, goto_programt::targett> loop_map;
27 
28  for(loopt::const_iterator l_it=loop.begin();
29  l_it!=loop.end();
30  l_it++)
31  loop_map[(*l_it)->location_number]=*l_it;
32 
33  // get the one with the highest number
34  goto_programt::targett last=(--loop_map.end())->second;
35 
36  return ++last;
37 }
38 
40  const local_may_aliast &local_may_alias,
42  const exprt &lhs,
43  assignst &assigns)
44 {
46  local_may_alias, t, lhs, assigns, [](const exprt &e) { return true; });
47 }
48 
50  const local_may_aliast &local_may_alias,
52  const exprt &lhs,
53  assignst &assigns,
54  std::function<bool(const exprt &)> predicate)
55 {
56  assignst new_assigns;
57 
58  if(lhs.id() == ID_symbol || lhs.id() == ID_index)
59  {
60  // All variables `v` and their indexing expressions `v[idx]` are assigns.
61  new_assigns.insert(lhs);
62  }
63  else if(lhs.id() == ID_member)
64  {
65  auto op = to_member_expr(lhs).struct_op();
66  auto component_name = to_member_expr(lhs).get_component_name();
67 
68  // Insert expressions of form `v.member`.
69  if(op.id() == ID_symbol)
70  {
71  new_assigns.insert(lhs);
72  }
73  // For expressions of form `v->member`, insert all targets `u->member`,
74  // where `u` and `v` alias.
75  else if(op.id() == ID_dereference)
76  {
77  const pointer_arithmetict ptr(to_dereference_expr(op).pointer());
78  for(const auto &mod : local_may_alias.get(t, ptr.pointer))
79  {
80  if(mod.id() == ID_unknown)
81  {
82  continue;
83  }
84  const exprt typed_mod =
86  exprt to_insert;
87  if(ptr.offset.is_nil())
88  {
89  // u->member
90  to_insert = member_exprt(
91  dereference_exprt{typed_mod}, component_name, lhs.type());
92  }
93  else
94  {
95  // (u+offset)->member
96  to_insert = member_exprt(
97  dereference_exprt{plus_exprt{typed_mod, ptr.offset}},
98  component_name,
99  lhs.type());
100  }
101  new_assigns.insert(to_insert);
102  }
103  }
104  }
105  else if(lhs.id() == ID_dereference)
106  {
107  // All dereference `*v` and their alias `*u` are assigns.
108  const pointer_arithmetict ptr(to_dereference_expr(lhs).pointer());
109  for(const auto &mod : local_may_alias.get(t, ptr.pointer))
110  {
111  if(mod.id() == ID_unknown)
112  {
113  continue;
114  }
115  const exprt typed_mod =
117  exprt to_insert;
118  if(ptr.offset.is_nil())
119  to_insert = dereference_exprt{typed_mod};
120  else
121  to_insert = dereference_exprt{plus_exprt{typed_mod, ptr.offset}};
122  new_assigns.insert(std::move(to_insert));
123  }
124  }
125  else if(lhs.id() == ID_if)
126  {
127  const if_exprt &if_expr = to_if_expr(lhs);
128 
130  local_may_alias, t, if_expr.true_case(), assigns, predicate);
132  local_may_alias, t, if_expr.false_case(), assigns, predicate);
133  }
134 
135  std::copy_if(
136  new_assigns.begin(),
137  new_assigns.end(),
138  std::inserter(assigns, assigns.begin()),
139  predicate);
140 }
141 
143  const local_may_aliast &local_may_alias,
144  const loopt &loop,
145  assignst &assigns)
146 {
147  get_assigns(
148  local_may_alias, loop, assigns, [](const exprt &e) { return true; });
149 }
150 
152  const local_may_aliast &local_may_alias,
153  const loopt &loop,
154  assignst &assigns,
155  std::function<bool(const exprt &)> predicate)
156 {
157  for(loopt::const_iterator i_it = loop.begin(); i_it != loop.end(); i_it++)
158  {
159  const goto_programt::instructiont &instruction = **i_it;
160 
161  if(instruction.is_assign())
162  {
163  const exprt &lhs = instruction.assign_lhs();
164  get_assigns_lhs(local_may_alias, *i_it, lhs, assigns, predicate);
165  }
166  else if(instruction.is_function_call())
167  {
168  const exprt &lhs = instruction.call_lhs();
169  get_assigns_lhs(local_may_alias, *i_it, lhs, assigns, predicate);
170  }
171  }
172 }
Operator to dereference a pointer.
Definition: pointer_expr.h:834
Base class for all expressions.
Definition: expr.h:56
typet & type()
Return the type of the expression.
Definition: expr.h:84
This class represents an instruction in the GOTO intermediate representation.
Definition: goto_program.h:181
const exprt & call_lhs() const
Get the lhs of a FUNCTION_CALL (may be nil)
Definition: goto_program.h:286
const exprt & assign_lhs() const
Get the lhs of the assignment for ASSIGN.
Definition: goto_program.h:200
instructionst::iterator targett
Definition: goto_program.h:614
instructionst::const_iterator const_targett
Definition: goto_program.h:615
The trinary if-then-else operator.
Definition: std_expr.h:2375
exprt & true_case()
Definition: std_expr.h:2402
exprt & false_case()
Definition: std_expr.h:2412
const irep_idt & id() const
Definition: irep.h:388
bool is_nil() const
Definition: irep.h:368
std::set< exprt > get(const goto_programt::const_targett t, const exprt &src) const
Extract member of struct or union.
Definition: std_expr.h:2849
const exprt & struct_op() const
Definition: std_expr.h:2887
irep_idt get_component_name() const
Definition: std_expr.h:2871
The plus expression Associativity is not specified.
Definition: std_expr.h:1002
static exprt conditional_cast(const exprt &expr, const typet &type)
Definition: std_expr.h:2081
std::set< exprt > assignst
Definition: havoc_utils.h:22
Field-insensitive, location-sensitive may-alias analysis.
void get_assigns_lhs(const local_may_aliast &local_may_alias, goto_programt::const_targett t, const exprt &lhs, assignst &assigns)
Definition: loop_utils.cpp:39
goto_programt::targett get_loop_exit(const loopt &loop)
Definition: loop_utils.cpp:21
void get_assigns(const local_may_aliast &local_may_alias, const loopt &loop, assignst &assigns)
Definition: loop_utils.cpp:142
Helper functions for k-induction and loop invariants.
natural_loops_mutablet::natural_loopt loopt
Definition: loop_utils.h:20
API to expression classes for Pointers.
const dereference_exprt & to_dereference_expr(const exprt &expr)
Cast an exprt to a dereference_exprt.
Definition: pointer_expr.h:890
#define PRECONDITION(CONDITION)
Definition: invariant.h:463
API to expression classes.
const if_exprt & to_if_expr(const exprt &expr)
Cast an exprt to an if_exprt.
Definition: std_expr.h:2455
const member_exprt & to_member_expr(const exprt &expr)
Cast an exprt to a member_exprt.
Definition: std_expr.h:2941