File: ieee_float.cpp

package info (click to toggle)
cbmc 6.6.0-4
  • links: PTS
  • area: main
  • in suites: forky, sid, trixie
  • size: 153,852 kB
  • sloc: cpp: 386,459; ansic: 114,466; java: 28,405; python: 6,003; yacc: 4,552; makefile: 4,041; lex: 2,487; xml: 2,388; sh: 2,050; perl: 557; pascal: 184; javascript: 163; ada: 36
file content (131 lines) | stat: -rw-r--r-- 5,906 bytes parent folder | download
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
/*******************************************************************\

Module: Unit tests for util/ieee_float

Author: Daniel Kroening, dkr@amazon.com

\*******************************************************************/

#include <util/ieee_float.h>

#include <testing-utils/use_catch.h>

#include <limits>

TEST_CASE("Make an IEEE 754 one", "[core][util][ieee_float]")
{
  auto spec = ieee_float_spect::single_precision();
  REQUIRE(ieee_floatt::one(spec) == 1);
}

TEST_CASE("round_to_integral", "[unit][util][ieee_float]")
{
  auto from_double = [](double d) -> ieee_float_valuet
  {
    ieee_float_valuet v;
    v.from_double(d);
    return v;
  };

  auto round_to_integral =
    [](ieee_float_valuet op, ieee_floatt::rounding_modet rm) {
      return ieee_floatt{op, rm}.round_to_integral();
    };

  const auto dp = ieee_float_spect::double_precision();

  const auto NaN = ieee_float_valuet::NaN(dp);
  const auto plus_inf = ieee_float_valuet::plus_infinity(dp);
  const auto minus_inf = ieee_float_valuet::minus_infinity(dp);
  const auto dmax = std::numeric_limits<double>::max();

  const auto up = ieee_floatt::ROUND_TO_PLUS_INF;

  REQUIRE(round_to_integral(NaN, up) == NaN);
  REQUIRE(round_to_integral(plus_inf, up) == plus_inf);
  REQUIRE(round_to_integral(minus_inf, up) == minus_inf);
  REQUIRE(round_to_integral(from_double(0), up) == 0);
  REQUIRE(round_to_integral(from_double(-0.0), up) == -0.0);
  REQUIRE(round_to_integral(from_double(1), up) == 1);
  REQUIRE(round_to_integral(from_double(0.1), up) == 1);
  REQUIRE(round_to_integral(from_double(-0.1), up) == -0.0);
  REQUIRE(round_to_integral(from_double(0.5), up) == 1);
  REQUIRE(round_to_integral(from_double(0.49999999), up) == 1);
  REQUIRE(round_to_integral(from_double(0.500000001), up) == 1);
  REQUIRE(round_to_integral(from_double(10.1), up) == 11);
  REQUIRE(round_to_integral(from_double(-10.1), up) == -10);
  REQUIRE(round_to_integral(from_double(0x1.0p+52), up) == 0x1.0p+52);
  REQUIRE(round_to_integral(from_double(dmax), up) == dmax);

  const auto down = ieee_floatt::ROUND_TO_MINUS_INF;

  REQUIRE(round_to_integral(NaN, down) == NaN);
  REQUIRE(round_to_integral(plus_inf, down) == plus_inf);
  REQUIRE(round_to_integral(minus_inf, down) == minus_inf);
  REQUIRE(round_to_integral(from_double(0), down) == 0);
  REQUIRE(round_to_integral(from_double(-0.0), down) == -0.0);
  REQUIRE(round_to_integral(from_double(1), down) == 1);
  REQUIRE(round_to_integral(from_double(0.1), down) == 0);
  REQUIRE(round_to_integral(from_double(-0.1), down) == -1);
  REQUIRE(round_to_integral(from_double(0.5), down) == 0);
  REQUIRE(round_to_integral(from_double(0.49999999), down) == 0);
  REQUIRE(round_to_integral(from_double(0.500000001), down) == 0);
  REQUIRE(round_to_integral(from_double(10.1), down) == 10);
  REQUIRE(round_to_integral(from_double(-10.1), down) == -11);
  REQUIRE(round_to_integral(from_double(0x1.0p+52), down) == 0x1.0p+52);
  REQUIRE(round_to_integral(from_double(dmax), down) == dmax);

  const auto even = ieee_floatt::ROUND_TO_EVEN;

  REQUIRE(round_to_integral(NaN, even) == NaN);
  REQUIRE(round_to_integral(plus_inf, even) == plus_inf);
  REQUIRE(round_to_integral(minus_inf, even) == minus_inf);
  REQUIRE(round_to_integral(from_double(0), even) == 0);
  REQUIRE(round_to_integral(from_double(-0.0), even) == -0.0);
  REQUIRE(round_to_integral(from_double(1), even) == 1);
  REQUIRE(round_to_integral(from_double(0.1), even) == 0);
  REQUIRE(round_to_integral(from_double(-0.1), even) == -0.0);
  REQUIRE(round_to_integral(from_double(0.5), even) == 0);
  REQUIRE(round_to_integral(from_double(0.49999999), even) == 0);
  REQUIRE(round_to_integral(from_double(0.500000001), even) == 1);
  REQUIRE(round_to_integral(from_double(10.1), even) == 10);
  REQUIRE(round_to_integral(from_double(-10.1), even) == -10);
  REQUIRE(round_to_integral(from_double(0x1.0p+52), even) == 0x1.0p+52);
  REQUIRE(round_to_integral(from_double(dmax), even) == dmax);

  const auto zero = ieee_floatt::ROUND_TO_ZERO;

  REQUIRE(round_to_integral(NaN, zero) == NaN);
  REQUIRE(round_to_integral(plus_inf, zero) == plus_inf);
  REQUIRE(round_to_integral(minus_inf, zero) == minus_inf);
  REQUIRE(round_to_integral(from_double(0), zero) == 0);
  REQUIRE(round_to_integral(from_double(-0.0), zero) == -0.0);
  REQUIRE(round_to_integral(from_double(1), zero) == 1);
  REQUIRE(round_to_integral(from_double(0.1), zero) == 0);
  REQUIRE(round_to_integral(from_double(-0.1), zero) == -0.0);
  REQUIRE(round_to_integral(from_double(0.5), zero) == 0);
  REQUIRE(round_to_integral(from_double(0.49999999), zero) == 0);
  REQUIRE(round_to_integral(from_double(0.500000001), zero) == 0);
  REQUIRE(round_to_integral(from_double(10.1), zero) == 10);
  REQUIRE(round_to_integral(from_double(-10.1), zero) == -10);
  REQUIRE(round_to_integral(from_double(0x1.0p+52), zero) == 0x1.0p+52);
  REQUIRE(round_to_integral(from_double(dmax), zero) == dmax);

  const auto away = ieee_floatt::ROUND_TO_AWAY;

  REQUIRE(round_to_integral(NaN, away) == NaN);
  REQUIRE(round_to_integral(plus_inf, away) == plus_inf);
  REQUIRE(round_to_integral(minus_inf, away) == minus_inf);
  REQUIRE(round_to_integral(from_double(0), away) == 0);
  REQUIRE(round_to_integral(from_double(-0.0), away) == -0.0);
  REQUIRE(round_to_integral(from_double(1), away) == 1);
  REQUIRE(round_to_integral(from_double(0.1), away) == 0);
  REQUIRE(round_to_integral(from_double(-0.1), away) == -0.0);
  REQUIRE(round_to_integral(from_double(0.5), away) == 1);
  REQUIRE(round_to_integral(from_double(0.49999999), away) == 0);
  REQUIRE(round_to_integral(from_double(0.500000001), away) == 1);
  REQUIRE(round_to_integral(from_double(10.1), away) == 10);
  REQUIRE(round_to_integral(from_double(-10.1), away) == -10);
  REQUIRE(round_to_integral(from_double(0x1.0p+52), away) == 0x1.0p+52);
  REQUIRE(round_to_integral(from_double(dmax), away) == dmax);
}