CBMC
boolbv.h
Go to the documentation of this file.
1 /*******************************************************************\
2 
3 Module:
4 
5 Author: Daniel Kroening, kroening@kroening.com
6 
7 \*******************************************************************/
8 
9 
10 #ifndef CPROVER_SOLVERS_FLATTENING_BOOLBV_H
11 #define CPROVER_SOLVERS_FLATTENING_BOOLBV_H
12 
13 //
14 // convert expression to boolean formula
15 //
16 
17 #include <util/endianness_map.h>
18 #include <util/expr.h>
19 #include <util/mp_arith.h>
20 
22 
23 #include "arrays.h"
24 #include "boolbv_map.h"
25 #include "boolbv_width.h"
26 #include "bv_utils.h" // IWYU pragma: keep
27 
29 class bitreverse_exprt;
30 class bswap_exprt;
31 class byte_extract_exprt;
32 class byte_update_exprt;
34 class extractbit_exprt;
35 class extractbits_exprt;
39 class replication_exprt;
41 class union_typet;
42 class update_bit_exprt;
43 class update_bits_exprt;
44 
45 class boolbvt:public arrayst
46 {
47 public:
49  const namespacet &_ns,
50  propt &_prop,
52  bool get_array_constraints = false)
55  bv_width(_ns),
56  bv_utils(_prop),
57  functions(*this),
58  map(_prop)
59  {
60  }
61 
62  virtual const bvt &convert_bv( // check cache
63  const exprt &expr,
64  const std::optional<std::size_t> expected_width = {});
65 
66  virtual bvt convert_bitvector(const exprt &expr); // no cache
67 
68  // overloading
69  exprt get(const exprt &expr) const override;
70  void set_to(const exprt &expr, bool value) override;
71  void print_assignment(std::ostream &out) const override;
72  exprt handle(const exprt &) override;
73 
74  void clear_cache() override
75  {
77  bv_cache.clear();
78  }
79 
80  void finish_eager_conversion() override
81  {
85  }
86 
87  enum class unbounded_arrayt { U_NONE, U_ALL, U_AUTO };
89 
91  {
92  return get_value(bv, 0, bv.size());
93  }
94 
95  mp_integer get_value(const bvt &bv, std::size_t offset, std::size_t width);
96 
97  const boolbv_mapt &get_map() const
98  {
99  return map;
100  }
101 
102  virtual std::size_t boolbv_width(const typet &type) const
103  {
104  return bv_width(type);
105  }
106 
107  virtual endianness_mapt
108  endianness_map(const typet &type, bool little_endian) const
109  {
110  return endianness_mapt{type, little_endian, ns};
111  }
112 
113  virtual endianness_mapt endianness_map(const typet &type) const;
114 
115 protected:
118 
119  // uninterpreted functions
121 
122  // the mapping from identifiers to literals
124 
125  // overloading
126  literalt convert_rest(const exprt &expr) override;
127  virtual bool boolbv_set_equality_to_true(const equal_exprt &expr);
128 
129  // NOLINTNEXTLINE(readability/identifiers)
130  typedef arrayst SUB;
131 
132  bvt conversion_failed(const exprt &expr);
133 
134  typedef std::unordered_map<const exprt, bvt, irep_hash> bv_cachet;
136 
137  bool type_conversion(
138  const typet &src_type, const bvt &src,
139  const typet &dest_type, bvt &dest);
140 
142  virtual literalt convert_typecast(const typecast_exprt &expr);
143  virtual literalt convert_reduction(const unary_exprt &expr);
144  virtual literalt convert_onehot(const unary_exprt &expr);
145  virtual literalt convert_extractbit(const extractbit_exprt &expr);
148  virtual literalt convert_equality(const equal_exprt &expr);
150  const binary_relation_exprt &expr);
152  virtual literalt convert_quantifier(const quantifier_exprt &expr);
153 
154  virtual bvt convert_index(const exprt &array, const mp_integer &index);
155  virtual bvt convert_index(const index_exprt &expr);
156  virtual bvt convert_bswap(const bswap_exprt &expr);
157  virtual bvt convert_byte_extract(const byte_extract_exprt &expr);
158  virtual bvt convert_byte_update(const byte_update_exprt &expr);
159  virtual bvt convert_constraint_select_one(const exprt &expr);
160  virtual bvt convert_if(const if_exprt &expr);
161  virtual bvt convert_struct(const struct_exprt &expr);
162  virtual bvt convert_array(const exprt &expr);
163  virtual bvt convert_complex(const complex_exprt &expr);
164  virtual bvt convert_complex_real(const complex_real_exprt &expr);
165  virtual bvt convert_complex_imag(const complex_imag_exprt &expr);
167  virtual bvt convert_let(const let_exprt &);
168  virtual bvt convert_array_of(const array_of_exprt &expr);
169  virtual bvt convert_union(const union_exprt &expr);
170  virtual bvt convert_empty_union(const empty_union_exprt &expr);
171  virtual bvt convert_bv_typecast(const typecast_exprt &expr);
172  virtual bvt convert_add_sub(const exprt &expr);
173  virtual bvt convert_mult(const mult_exprt &expr);
174  virtual bvt convert_div(const div_exprt &expr);
175  virtual bvt convert_mod(const mod_exprt &expr);
176  virtual bvt convert_floatbv_op(const ieee_float_op_exprt &);
177  virtual bvt convert_floatbv_mod_rem(const binary_exprt &);
179  virtual bvt convert_member(const member_exprt &expr);
180  virtual bvt convert_with(const with_exprt &expr);
181  virtual bvt convert_update(const update_exprt &);
182  virtual bvt convert_update_bit(const update_bit_exprt &);
183  virtual bvt convert_update_bits(const update_bits_exprt &);
184  virtual bvt convert_case(const exprt &expr);
185  virtual bvt convert_cond(const cond_exprt &);
186  virtual bvt convert_shift(const binary_exprt &expr);
187  virtual bvt convert_bitwise(const exprt &expr);
188  virtual bvt convert_unary_minus(const unary_minus_exprt &expr);
189  virtual bvt convert_abs(const abs_exprt &expr);
190  virtual bvt convert_concatenation(const concatenation_exprt &expr);
191  virtual bvt convert_replication(const replication_exprt &expr);
192  virtual bvt convert_constant(const constant_exprt &expr);
193  virtual bvt convert_extractbits(const extractbits_exprt &expr);
194  virtual bvt convert_symbol(const exprt &expr);
195  virtual bvt convert_bv_reduction(const unary_exprt &expr);
196  virtual bvt convert_not(const not_exprt &expr);
197  virtual bvt convert_power(const binary_exprt &expr);
199  const function_application_exprt &expr);
200  virtual bvt convert_bitreverse(const bitreverse_exprt &expr);
201  virtual bvt convert_saturating_add_sub(const binary_exprt &expr);
203 
204  bvt convert_update_bits(bvt src, const exprt &index, const bvt &new_value);
205 
206  void convert_with(
207  const typet &type,
208  const exprt &where,
209  const exprt &new_value,
210  const bvt &prev_bv,
211  bvt &next_bv);
212 
214  const exprt &index,
215  const exprt &new_value,
216  const bvt &prev_bv,
217  bvt &next_bv);
218 
219  void convert_with_array(
220  const array_typet &type,
221  const exprt &index,
222  const exprt &new_value,
223  const bvt &prev_bv,
224  bvt &next_bv);
225 
226  void convert_with_union(
227  const union_typet &type,
228  const exprt &new_value,
229  const bvt &prev_bv,
230  bvt &next_bv);
231 
232  void convert_with_struct(
233  const struct_typet &type,
234  const exprt &where,
235  const exprt &new_value,
236  const bvt &prev_bv,
237  bvt &next_bv);
238 
239  void convert_update_rec(
240  const exprt::operandst &designator,
241  std::size_t d,
242  const typet &type,
243  std::size_t offset,
244  const exprt &new_value,
245  bvt &bv);
246 
247  virtual exprt bv_get_unbounded_array(const exprt &) const;
248 
249  virtual exprt
250  bv_get_rec(const exprt &expr, const bvt &bv, std::size_t offset) const;
251 
252  exprt bv_get(const bvt &bv, const typet &type) const;
253  exprt bv_get_cache(const exprt &expr) const;
254 
255  // unbounded arrays
256  bool is_unbounded_array(const typet &type) const override;
257 
258  // quantifier instantiations
260  {
261  public:
263  : expr(std::move(_expr)), l(std::move(_l))
264  {
265  }
266 
269  };
270 
271  typedef std::list<quantifiert> quantifier_listt;
273 
275 
276  typedef std::vector<std::size_t> offset_mapt;
278 
279  // strings
281 
282  // scopes
283  std::size_t scope_counter = 0;
284 
287 };
288 
289 #endif // CPROVER_SOLVERS_FLATTENING_BOOLBV_H
Theory of Arrays with Extensionality.
Absolute value.
Definition: std_expr.h:442
Expression to define a mapping from an argument (index) to elements.
Definition: std_expr.h:3413
Array constructor from single element.
Definition: std_expr.h:1553
Arrays with given size.
Definition: std_types.h:807
Definition: arrays.h:33
const namespacet & ns
Definition: arrays.h:56
message_handlert & message_handler
Definition: arrays.h:58
void finish_eager_conversion() override
Definition: arrays.h:41
bool get_array_constraints
Definition: arrays.h:114
A base class for binary expressions.
Definition: std_expr.h:638
A Boolean expression returning true, iff operation kind would result in an overflow when applied to o...
A base class for relations, i.e., binary predicates whose two operands have the same type.
Definition: std_expr.h:762
A base class for variable bindings (quantifiers, let, lambda)
Definition: std_expr.h:3107
std::vector< symbol_exprt > variablest
Definition: std_expr.h:3109
Reverse the order of bits in a bit-vector.
quantifiert(exprt _expr, literalt _l)
Definition: boolbv.h:262
Definition: boolbv.h:46
virtual bvt convert_with(const with_exprt &expr)
Definition: boolbv_with.cpp:17
virtual bvt convert_array(const exprt &expr)
Flatten array.
virtual literalt convert_bv_rel(const binary_relation_exprt &)
Flatten <, >, <= and >= expressions.
bv_cachet bv_cache
Definition: boolbv.h:135
virtual literalt convert_onehot(const unary_exprt &expr)
virtual bvt convert_index(const exprt &array, const mp_integer &index)
index operator with constant index
virtual const bvt & convert_bv(const exprt &expr, const std::optional< std::size_t > expected_width={})
Convert expression to vector of literalts, using an internal cache to speed up conversion if availabl...
Definition: boolbv.cpp:39
std::size_t scope_counter
Definition: boolbv.h:283
virtual bvt convert_constraint_select_one(const exprt &expr)
void convert_update_rec(const exprt::operandst &designator, std::size_t d, const typet &type, std::size_t offset, const exprt &new_value, bvt &bv)
virtual bvt convert_complex_imag(const complex_imag_exprt &expr)
virtual literalt convert_reduction(const unary_exprt &expr)
virtual literalt convert_ieee_float_rel(const binary_relation_exprt &)
std::unordered_map< const exprt, bvt, irep_hash > bv_cachet
Definition: boolbv.h:134
virtual bvt convert_complex_real(const complex_real_exprt &expr)
virtual bvt convert_complex(const complex_exprt &expr)
virtual bvt convert_let(const let_exprt &)
Definition: boolbv_let.cpp:15
virtual bvt convert_byte_extract(const byte_extract_exprt &expr)
offset_mapt build_offset_map(const struct_typet &src)
Definition: boolbv.cpp:581
void convert_with_array(const array_typet &type, const exprt &index, const exprt &new_value, const bvt &prev_bv, bvt &next_bv)
virtual bvt convert_bitvector(const exprt &expr)
Converts an expression into its gate-level representation and returns a vector of literals correspond...
Definition: boolbv.cpp:108
const boolbv_mapt & get_map() const
Definition: boolbv.h:97
unbounded_arrayt
Definition: boolbv.h:87
binding_exprt::variablest fresh_binding(const binding_exprt &)
create new, unique variables for the given binding
Definition: boolbv.cpp:552
virtual literalt convert_typecast(const typecast_exprt &expr)
conversion from bitvector types to boolean
virtual bvt convert_bswap(const bswap_exprt &expr)
bool is_unbounded_array(const typet &type) const override
Definition: boolbv.cpp:533
bvt convert_update_bits(bvt src, const exprt &index, const bvt &new_value)
void finish_eager_conversion_quantifiers()
exprt bv_get(const bvt &bv, const typet &type) const
Definition: boolbv_get.cpp:249
virtual bvt convert_mod(const mod_exprt &expr)
Definition: boolbv_mod.cpp:12
virtual bvt convert_add_sub(const exprt &expr)
virtual bvt convert_constant(const constant_exprt &expr)
numberingt< irep_idt > string_numbering
Definition: boolbv.h:280
virtual literalt convert_quantifier(const quantifier_exprt &expr)
void convert_with_union(const union_typet &type, const exprt &new_value, const bvt &prev_bv, bvt &next_bv)
boolbvt(const namespacet &_ns, propt &_prop, message_handlert &message_handler, bool get_array_constraints=false)
Definition: boolbv.h:48
virtual bool boolbv_set_equality_to_true(const equal_exprt &expr)
Definition: boolbv.cpp:492
virtual exprt bv_get_unbounded_array(const exprt &) const
Definition: boolbv_get.cpp:268
virtual exprt bv_get_rec(const exprt &expr, const bvt &bv, std::size_t offset) const
Definition: boolbv_get.cpp:52
virtual bvt convert_update_bits(const update_bits_exprt &)
void clear_cache() override
Definition: boolbv.h:74
virtual bvt convert_mult(const mult_exprt &expr)
Definition: boolbv_mult.cpp:13
exprt handle(const exprt &) override
Generate a handle, which is an expression that has the same value as the argument in any model that i...
Definition: boolbv.cpp:83
virtual bvt convert_member(const member_exprt &expr)
virtual literalt convert_verilog_case_equality(const binary_relation_exprt &expr)
virtual bvt convert_function_application(const function_application_exprt &expr)
Definition: boolbv.cpp:323
virtual bvt convert_cond(const cond_exprt &)
Definition: boolbv_cond.cpp:13
virtual bvt convert_empty_union(const empty_union_exprt &expr)
virtual bvt convert_if(const if_exprt &expr)
Definition: boolbv_if.cpp:12
virtual bvt convert_union(const union_exprt &expr)
void set_to(const exprt &expr, bool value) override
For a Boolean expression expr, add the constraint 'expr' if value is true, otherwise add 'not expr'.
Definition: boolbv.cpp:523
virtual bvt convert_byte_update(const byte_update_exprt &expr)
boolbv_widtht bv_width
Definition: boolbv.h:116
virtual literalt convert_extractbit(const extractbit_exprt &expr)
std::list< quantifiert > quantifier_listt
Definition: boolbv.h:271
unbounded_arrayt unbounded_array
Definition: boolbv.h:88
exprt get(const exprt &expr) const override
Return expr with variables replaced by values from satisfying assignment if available.
Definition: boolbv_get.cpp:21
virtual bvt convert_floatbv_op(const ieee_float_op_exprt &)
void print_assignment(std::ostream &out) const override
Print satisfying assignment to out.
Definition: boolbv.cpp:575
virtual bvt convert_not(const not_exprt &expr)
Definition: boolbv_not.cpp:13
exprt bv_get_cache(const exprt &expr) const
Definition: boolbv_get.cpp:256
virtual bvt convert_extractbits(const extractbits_exprt &expr)
virtual bvt convert_shift(const binary_exprt &expr)
virtual bvt convert_update(const update_exprt &)
void finish_eager_conversion() override
Definition: boolbv.h:80
virtual bvt convert_unary_minus(const unary_minus_exprt &expr)
virtual bvt convert_div(const div_exprt &expr)
Definition: boolbv_div.cpp:13
virtual literalt convert_binary_overflow(const binary_overflow_exprt &expr)
virtual bvt convert_array_of(const array_of_exprt &expr)
Flatten arrays constructed from a single element.
bv_utilst bv_utils
Definition: boolbv.h:117
virtual bvt convert_floatbv_mod_rem(const binary_exprt &)
virtual bvt convert_saturating_add_sub(const binary_exprt &expr)
virtual bvt convert_overflow_result(const overflow_result_exprt &expr)
virtual bvt convert_bitwise(const exprt &expr)
virtual bvt convert_array_comprehension(const array_comprehension_exprt &)
Definition: boolbv.cpp:264
virtual bvt convert_bv_reduction(const unary_exprt &expr)
virtual literalt convert_equality(const equal_exprt &expr)
functionst functions
Definition: boolbv.h:120
bvt conversion_failed(const exprt &expr)
Print that the expression of x has failed conversion, then return a vector of x's width.
Definition: boolbv.cpp:94
quantifier_listt quantifier_list
Definition: boolbv.h:272
virtual endianness_mapt endianness_map(const typet &type, bool little_endian) const
Definition: boolbv.h:108
virtual literalt convert_unary_overflow(const unary_overflow_exprt &expr)
virtual std::size_t boolbv_width(const typet &type) const
Definition: boolbv.h:102
virtual bvt convert_case(const exprt &expr)
Definition: boolbv_case.cpp:13
virtual bvt convert_symbol(const exprt &expr)
Definition: boolbv.cpp:299
virtual bvt convert_update_bit(const update_bit_exprt &)
void convert_with_bv(const exprt &index, const exprt &new_value, const bvt &prev_bv, bvt &next_bv)
virtual bvt convert_floatbv_typecast(const floatbv_typecast_exprt &expr)
arrayst SUB
Definition: boolbv.h:130
virtual bvt convert_power(const binary_exprt &expr)
virtual bvt convert_bv_typecast(const typecast_exprt &expr)
mp_integer get_value(const bvt &bv)
Definition: boolbv.h:90
bool type_conversion(const typet &src_type, const bvt &src, const typet &dest_type, bvt &dest)
virtual bvt convert_concatenation(const concatenation_exprt &expr)
virtual bvt convert_struct(const struct_exprt &expr)
void convert_with_struct(const struct_typet &type, const exprt &where, const exprt &new_value, const bvt &prev_bv, bvt &next_bv)
virtual bvt convert_bitreverse(const bitreverse_exprt &expr)
virtual bvt convert_replication(const replication_exprt &expr)
literalt convert_rest(const exprt &expr) override
Definition: boolbv.cpp:334
std::vector< std::size_t > offset_mapt
Definition: boolbv.h:276
virtual bvt convert_abs(const abs_exprt &expr)
Definition: boolbv_abs.cpp:17
boolbv_mapt map
Definition: boolbv.h:123
The byte swap expression.
Expression of type type extracted from some object op starting at position offset (given in number of...
Expression corresponding to op() where the bytes starting at position offset (given in number of byte...
Complex constructor from a pair of numbers.
Definition: std_expr.h:1911
Imaginary part of the expression describing a complex number.
Definition: std_expr.h:2022
Real part of the expression describing a complex number.
Definition: std_expr.h:1979
Concatenation of bit-vector operands.
this is a parametric version of an if-expression: it returns the value of the first case (using the o...
Definition: std_expr.h:3350
A constant literal expression.
Definition: std_expr.h:2990
Division.
Definition: std_expr.h:1152
Union constructor to support unions without any member (a GCC/Clang feature).
Definition: std_expr.h:1829
Maps a big-endian offset to a little-endian offset.
Equality.
Definition: std_expr.h:1361
Base class for all expressions.
Definition: expr.h:56
std::vector< exprt > operandst
Definition: expr.h:58
Extracts a single bit of a bit-vector operand.
Extracts a sub-range of a bit-vector operand.
Semantic type conversion from/to floating-point formats.
Definition: floatbv_expr.h:19
Application of (mathematical) function.
virtual void finish_eager_conversion()
Definition: functions.h:36
IEEE floating-point operations These have two data operands (op0 and op1) and one rounding mode (op2)...
Definition: floatbv_expr.h:364
The trinary if-then-else operator.
Definition: std_expr.h:2370
Array index operator.
Definition: std_expr.h:1465
A let expression.
Definition: std_expr.h:3204
Extract member of struct or union.
Definition: std_expr.h:2844
Modulo defined as lhs-(rhs * truncate(lhs/rhs)).
Definition: std_expr.h:1223
Binary multiplication Associativity is not specified.
Definition: std_expr.h:1107
A namespacet is essentially one or two symbol tables bound together, to allow for symbol lookups in t...
Definition: namespace.h:94
Boolean negation.
Definition: std_expr.h:2327
An expression returning both the result of the arithmetic operation under wrap-around semantics as we...
virtual void clear_cache()
TO_BE_DOCUMENTED.
Definition: prop.h:25
A base class for quantifier expressions.
Bit-vector replication.
Struct constructor from list of elements.
Definition: std_expr.h:1872
Structure type, corresponds to C style structs.
Definition: std_types.h:231
Semantic type conversion.
Definition: std_expr.h:2068
The type of an expression, extends irept.
Definition: type.h:29
Generic base class for unary expressions.
Definition: std_expr.h:361
The unary minus expression.
Definition: std_expr.h:484
A Boolean expression returning true, iff operation kind would result in an overflow when applied to t...
Union constructor from single element.
Definition: std_expr.h:1765
The union type.
Definition: c_types.h:147
Replaces a sub-range of a bit-vector operand.
Replaces a sub-range of a bit-vector operand.
Operator to update elements in structs and arrays.
Definition: std_expr.h:2655
Operator to update elements in structs and arrays.
Definition: std_expr.h:2471
Uninterpreted Functions.
std::vector< literalt > bvt
Definition: literal.h:201
BigInt mp_integer
Definition: smt_terms.h:17