CBMC
boolbv_floatbv_op.cpp
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1 /*******************************************************************\
2 
3 Module:
4 
5 Author: Daniel Kroening, kroening@kroening.com
6 
7 \*******************************************************************/
8 
9 #include "boolbv.h"
10 
11 #include <algorithm>
12 
13 #include <util/bitvector_types.h>
14 #include <util/c_types.h>
15 #include <util/floatbv_expr.h>
16 
18 
20 {
21  const exprt &op0=expr.op(); // number to convert
22  const exprt &op1=expr.rounding_mode(); // rounding mode
23 
24  bvt bv0=convert_bv(op0);
25  bvt bv1=convert_bv(op1);
26 
27  const typet &src_type = expr.op0().type();
28  const typet &dest_type = expr.type();
29 
30  if(src_type==dest_type) // redundant type cast?
31  return bv0;
32 
33  if(src_type.id() == ID_c_bit_field)
34  {
35  // go through underlying type
37  typecast_exprt(op0, to_c_bit_field_type(src_type).underlying_type()),
38  op1,
39  dest_type));
40  }
41 
42  float_utilst float_utils(prop);
43 
44  float_utils.set_rounding_mode(convert_bv(op1));
45 
46  if(src_type.id()==ID_floatbv &&
47  dest_type.id()==ID_floatbv)
48  {
49  float_utils.spec=ieee_float_spect(to_floatbv_type(src_type));
50  return
51  float_utils.conversion(
52  bv0,
53  ieee_float_spect(to_floatbv_type(dest_type)));
54  }
55  else if(src_type.id()==ID_signedbv &&
56  dest_type.id()==ID_floatbv)
57  {
58  float_utils.spec=ieee_float_spect(to_floatbv_type(dest_type));
59  return float_utils.from_signed_integer(bv0);
60  }
61  else if(src_type.id()==ID_unsignedbv &&
62  dest_type.id()==ID_floatbv)
63  {
64  float_utils.spec=ieee_float_spect(to_floatbv_type(dest_type));
65  return float_utils.from_unsigned_integer(bv0);
66  }
67  else if(src_type.id()==ID_floatbv &&
68  dest_type.id()==ID_signedbv)
69  {
70  std::size_t dest_width=to_signedbv_type(dest_type).get_width();
71  float_utils.spec=ieee_float_spect(to_floatbv_type(src_type));
72  return float_utils.to_signed_integer(bv0, dest_width);
73  }
74  else if(src_type.id()==ID_floatbv &&
75  dest_type.id()==ID_unsignedbv)
76  {
77  std::size_t dest_width=to_unsignedbv_type(dest_type).get_width();
78  float_utils.spec=ieee_float_spect(to_floatbv_type(src_type));
79  return float_utils.to_unsigned_integer(bv0, dest_width);
80  }
81  else
82  return conversion_failed(expr);
83 }
84 
86 {
87  const exprt &lhs = expr.lhs();
88  const exprt &rhs = expr.rhs();
89  const exprt &rounding_mode = expr.rounding_mode();
90 
91  bvt lhs_as_bv = convert_bv(lhs);
92  bvt rhs_as_bv = convert_bv(rhs);
93  bvt rounding_mode_as_bv = convert_bv(rounding_mode);
94 
96  lhs.type() == expr.type() && rhs.type() == expr.type(),
97  "both operands of a floating point operator must match the expression type",
99 
100  float_utilst float_utils(prop);
101 
102  float_utils.set_rounding_mode(rounding_mode_as_bv);
103 
104  if(expr.type().id() == ID_floatbv)
105  {
106  float_utils.spec=ieee_float_spect(to_floatbv_type(expr.type()));
107 
108  if(expr.id()==ID_floatbv_plus)
109  return float_utils.add_sub(lhs_as_bv, rhs_as_bv, false);
110  else if(expr.id()==ID_floatbv_minus)
111  return float_utils.add_sub(lhs_as_bv, rhs_as_bv, true);
112  else if(expr.id()==ID_floatbv_mult)
113  return float_utils.mul(lhs_as_bv, rhs_as_bv);
114  else if(expr.id()==ID_floatbv_div)
115  return float_utils.div(lhs_as_bv, rhs_as_bv);
116  else
117  UNREACHABLE;
118  }
119  else if(expr.type().id() == ID_complex)
120  {
121  const typet &subtype = to_type_with_subtype(expr.type()).subtype();
122 
123  if(subtype.id()==ID_floatbv)
124  {
125  float_utils.spec=ieee_float_spect(to_floatbv_type(subtype));
126 
127  std::size_t width = boolbv_width(expr.type());
128  std::size_t sub_width=boolbv_width(subtype);
129 
131  sub_width > 0 && width % sub_width == 0,
132  "width of a complex subtype must be positive and evenly divide the "
133  "width of the complex expression");
134 
135  std::size_t size=width/sub_width;
136  bvt result_bv;
137  result_bv.resize(width);
138 
139  for(std::size_t i=0; i<size; i++)
140  {
141  bvt lhs_sub_bv, rhs_sub_bv, sub_result_bv;
142 
143  lhs_sub_bv.assign(
144  lhs_as_bv.begin() + i * sub_width,
145  lhs_as_bv.begin() + (i + 1) * sub_width);
146  rhs_sub_bv.assign(
147  rhs_as_bv.begin() + i * sub_width,
148  rhs_as_bv.begin() + (i + 1) * sub_width);
149 
150  if(expr.id()==ID_floatbv_plus)
151  sub_result_bv = float_utils.add_sub(lhs_sub_bv, rhs_sub_bv, false);
152  else if(expr.id()==ID_floatbv_minus)
153  sub_result_bv = float_utils.add_sub(lhs_sub_bv, rhs_sub_bv, true);
154  else if(expr.id()==ID_floatbv_mult)
155  sub_result_bv = float_utils.mul(lhs_sub_bv, rhs_sub_bv);
156  else if(expr.id()==ID_floatbv_div)
157  sub_result_bv = float_utils.div(lhs_sub_bv, rhs_sub_bv);
158  else
159  UNREACHABLE;
160 
161  INVARIANT(
162  sub_result_bv.size() == sub_width,
163  "we constructed a new complex of the right size");
164  INVARIANT(
165  i * sub_width + sub_width - 1 < result_bv.size(),
166  "the sub-bitvector fits into the result bitvector");
167  std::copy(
168  sub_result_bv.begin(),
169  sub_result_bv.end(),
170  result_bv.begin() + i * sub_width);
171  }
172 
173  return result_bv;
174  }
175  else
176  return conversion_failed(expr);
177  }
178  else
179  return conversion_failed(expr);
180 }
Pre-defined bitvector types.
const floatbv_typet & to_floatbv_type(const typet &type)
Cast a typet to a floatbv_typet.
const signedbv_typet & to_signedbv_type(const typet &type)
Cast a typet to a signedbv_typet.
const unsignedbv_typet & to_unsignedbv_type(const typet &type)
Cast a typet to an unsignedbv_typet.
const c_bit_field_typet & to_c_bit_field_type(const typet &type)
Cast a typet to a c_bit_field_typet.
Definition: c_types.h:80
exprt & op0()
Definition: expr.h:133
std::size_t get_width() const
Definition: std_types.h:920
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:37
virtual bvt convert_floatbv_op(const ieee_float_op_exprt &)
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:83
virtual std::size_t boolbv_width(const typet &type) const
Definition: boolbv.h:101
virtual bvt convert_floatbv_typecast(const floatbv_typecast_exprt &expr)
Base class for all expressions.
Definition: expr.h:56
typet & type()
Return the type of the expression.
Definition: expr.h:84
void set_rounding_mode(const bvt &)
Definition: float_utils.cpp:15
bvt from_unsigned_integer(const bvt &)
Definition: float_utils.cpp:50
virtual bvt mul(const bvt &src1, const bvt &src2)
bvt to_unsigned_integer(const bvt &src, std::size_t int_width)
Definition: float_utils.cpp:74
virtual bvt div(const bvt &src1, const bvt &src2)
bvt from_signed_integer(const bvt &)
Definition: float_utils.cpp:32
bvt conversion(const bvt &src, const ieee_float_spect &dest_spec)
virtual bvt add_sub(const bvt &src1, const bvt &src2, bool subtract)
ieee_float_spect spec
Definition: float_utils.h:88
bvt to_signed_integer(const bvt &src, std::size_t int_width)
Definition: float_utils.cpp:67
Semantic type conversion from/to floating-point formats.
Definition: floatbv_expr.h:19
IEEE floating-point operations These have two data operands (op0 and op1) and one rounding mode (op2)...
Definition: floatbv_expr.h:364
exprt & rounding_mode()
Definition: floatbv_expr.h:395
const irep_idt & id() const
Definition: irep.h:384
const typet & subtype() const
Definition: type.h:187
Semantic type conversion.
Definition: std_expr.h:2068
The type of an expression, extends irept.
Definition: type.h:29
API to expression classes for floating-point arithmetic.
std::vector< literalt > bvt
Definition: literal.h:201
#define UNREACHABLE
This should be used to mark dead code.
Definition: invariant.h:525
#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 DATA_INVARIANT_WITH_DIAGNOSTICS(CONDITION, REASON,...)
Definition: invariant.h:535
const type_with_subtypet & to_type_with_subtype(const typet &type)
Definition: type.h:208