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<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="boost_multiprecision.tut.limits.limits32"></a><a class="link" href="limits32.html" title="Numeric limits for 32-bit platform">Numeric limits
for 32-bit platform</a>
</h4></div></div></div>
<p>
These tables were generated using the following program and options:
</p>
<pre class="programlisting">
Program:
numeric_limits_qbk.cpp
Mon Nov 4 18:09:06 2013
BuildInfo:
Platform Win32
Compiler Microsoft Visual C++ version 10.0
MSVC version 160040219.
STL Dinkumware standard library version 520
Boost version 1.55.0
</pre>
<div class="table">
<a name="boost_multiprecision.tut.limits.limits32.integral_constants"></a><p class="title"><b>Table 1.4. Integer types constants (<code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;::</span><span class="identifier">is_integer</span>
<span class="special">==</span> <span class="keyword">true</span></code>
&amp;&amp; is_exact == true)</b></p>
<div class="table-contents"><table class="table" summary="Integer types constants (std::numeric_limits&lt;T&gt;::is_integer
== true
&amp;&amp; is_exact == true)">
<colgroup>
<col>
<col>
<col>
<col>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
<p>
type
</p>
</th>
<th>
<p>
signed
</p>
</th>
<th>
<p>
bound
</p>
</th>
<th>
<p>
modulo
</p>
</th>
<th>
<p>
round
</p>
</th>
<th>
<p>
radix
</p>
</th>
<th>
<p>
digits
</p>
</th>
<th>
<p>
digits10
</p>
</th>
</tr></thead>
<tbody>
<tr>
<td>
<p>
bool
</p>
</td>
<td>
<p>
unsigned
</p>
</td>
<td>
<p>
bound
</p>
</td>
<td>
<p>
no
</p>
</td>
<td>
<p>
to zero
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
1
</p>
</td>
<td>
<p>
0
</p>
</td>
</tr>
<tr>
<td>
<p>
char
</p>
</td>
<td>
<p>
signed
</p>
</td>
<td>
<p>
bound
</p>
</td>
<td>
<p>
modulo
</p>
</td>
<td>
<p>
to zero
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
7
</p>
</td>
<td>
<p>
2
</p>
</td>
</tr>
<tr>
<td>
<p>
unsigned char
</p>
</td>
<td>
<p>
unsigned
</p>
</td>
<td>
<p>
bound
</p>
</td>
<td>
<p>
modulo
</p>
</td>
<td>
<p>
to zero
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
8
</p>
</td>
<td>
<p>
2
</p>
</td>
</tr>
<tr>
<td>
<p>
char16_t
</p>
</td>
<td>
<p>
unsigned
</p>
</td>
<td>
<p>
bound
</p>
</td>
<td>
<p>
modulo
</p>
</td>
<td>
<p>
to zero
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
16
</p>
</td>
<td>
<p>
4
</p>
</td>
</tr>
<tr>
<td>
<p>
char32_t
</p>
</td>
<td>
<p>
unsigned
</p>
</td>
<td>
<p>
bound
</p>
</td>
<td>
<p>
modulo
</p>
</td>
<td>
<p>
to zero
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
32
</p>
</td>
<td>
<p>
9
</p>
</td>
</tr>
<tr>
<td>
<p>
short
</p>
</td>
<td>
<p>
signed
</p>
</td>
<td>
<p>
bound
</p>
</td>
<td>
<p>
modulo
</p>
</td>
<td>
<p>
to zero
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
15
</p>
</td>
<td>
<p>
4
</p>
</td>
</tr>
<tr>
<td>
<p>
unsigned short
</p>
</td>
<td>
<p>
unsigned
</p>
</td>
<td>
<p>
bound
</p>
</td>
<td>
<p>
modulo
</p>
</td>
<td>
<p>
to zero
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
16
</p>
</td>
<td>
<p>
4
</p>
</td>
</tr>
<tr>
<td>
<p>
int
</p>
</td>
<td>
<p>
signed
</p>
</td>
<td>
<p>
bound
</p>
</td>
<td>
<p>
modulo
</p>
</td>
<td>
<p>
to zero
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
31
</p>
</td>
<td>
<p>
9
</p>
</td>
</tr>
<tr>
<td>
<p>
unsigned
</p>
</td>
<td>
<p>
unsigned
</p>
</td>
<td>
<p>
bound
</p>
</td>
<td>
<p>
modulo
</p>
</td>
<td>
<p>
to zero
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
32
</p>
</td>
<td>
<p>
9
</p>
</td>
</tr>
<tr>
<td>
<p>
long
</p>
</td>
<td>
<p>
signed
</p>
</td>
<td>
<p>
bound
</p>
</td>
<td>
<p>
modulo
</p>
</td>
<td>
<p>
to zero
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
31
</p>
</td>
<td>
<p>
9
</p>
</td>
</tr>
<tr>
<td>
<p>
unsigned long
</p>
</td>
<td>
<p>
unsigned
</p>
</td>
<td>
<p>
bound
</p>
</td>
<td>
<p>
modulo
</p>
</td>
<td>
<p>
to zero
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
32
</p>
</td>
<td>
<p>
9
</p>
</td>
</tr>
<tr>
<td>
<p>
long long
</p>
</td>
<td>
<p>
signed
</p>
</td>
<td>
<p>
bound
</p>
</td>
<td>
<p>
modulo
</p>
</td>
<td>
<p>
to zero
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
63
</p>
</td>
<td>
<p>
18
</p>
</td>
</tr>
<tr>
<td>
<p>
unsigned long long
</p>
</td>
<td>
<p>
unsigned
</p>
</td>
<td>
<p>
bound
</p>
</td>
<td>
<p>
modulo
</p>
</td>
<td>
<p>
to zero
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
64
</p>
</td>
<td>
<p>
19
</p>
</td>
</tr>
<tr>
<td>
<p>
int32_t
</p>
</td>
<td>
<p>
signed
</p>
</td>
<td>
<p>
bound
</p>
</td>
<td>
<p>
modulo
</p>
</td>
<td>
<p>
to zero
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
31
</p>
</td>
<td>
<p>
9
</p>
</td>
</tr>
<tr>
<td>
<p>
uint32_t
</p>
</td>
<td>
<p>
unsigned
</p>
</td>
<td>
<p>
bound
</p>
</td>
<td>
<p>
modulo
</p>
</td>
<td>
<p>
to zero
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
32
</p>
</td>
<td>
<p>
9
</p>
</td>
</tr>
<tr>
<td>
<p>
int64_t
</p>
</td>
<td>
<p>
signed
</p>
</td>
<td>
<p>
bound
</p>
</td>
<td>
<p>
modulo
</p>
</td>
<td>
<p>
to zero
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
63
</p>
</td>
<td>
<p>
18
</p>
</td>
</tr>
<tr>
<td>
<p>
uint64_t
</p>
</td>
<td>
<p>
unsigned
</p>
</td>
<td>
<p>
bound
</p>
</td>
<td>
<p>
modulo
</p>
</td>
<td>
<p>
to zero
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
64
</p>
</td>
<td>
<p>
19
</p>
</td>
</tr>
<tr>
<td>
<p>
int128_t
</p>
</td>
<td>
<p>
signed
</p>
</td>
<td>
<p>
bound
</p>
</td>
<td>
<p>
modulo
</p>
</td>
<td>
<p>
to zero
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
128
</p>
</td>
<td>
<p>
38
</p>
</td>
</tr>
<tr>
<td>
<p>
uint128_t
</p>
</td>
<td>
<p>
unsigned
</p>
</td>
<td>
<p>
bound
</p>
</td>
<td>
<p>
modulo
</p>
</td>
<td>
<p>
to zero
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
128
</p>
</td>
<td>
<p>
38
</p>
</td>
</tr>
<tr>
<td>
<p>
int256_t
</p>
</td>
<td>
<p>
signed
</p>
</td>
<td>
<p>
bound
</p>
</td>
<td>
<p>
modulo
</p>
</td>
<td>
<p>
to zero
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
256
</p>
</td>
<td>
<p>
77
</p>
</td>
</tr>
<tr>
<td>
<p>
uint256_t
</p>
</td>
<td>
<p>
unsigned
</p>
</td>
<td>
<p>
bound
</p>
</td>
<td>
<p>
modulo
</p>
</td>
<td>
<p>
to zero
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
256
</p>
</td>
<td>
<p>
77
</p>
</td>
</tr>
<tr>
<td>
<p>
cpp_int
</p>
</td>
<td>
<p>
signed
</p>
</td>
<td>
<p>
unbounded
</p>
</td>
<td>
<p>
no
</p>
</td>
<td>
<p>
to zero
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
2147483647
</p>
</td>
<td>
<p>
646392383
</p>
</td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.tut.limits.limits32.integral_functions"></a><p class="title"><b>Table 1.5. Integer types functions (<code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;::</span><span class="identifier">is_integer</span>
<span class="special">==</span> <span class="keyword">true</span>
<span class="special">&amp;&amp;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;::</span><span class="identifier">min</span><span class="special">()</span> <span class="special">==</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;::</span><span class="identifier">lowest</span><span class="special">()</span></code> )</b></p>
<div class="table-contents"><table class="table" summary="Integer types functions (std::numeric_limits&lt;T&gt;::is_integer
== true
&amp;&amp; std::numeric_limits&lt;T&gt;::min() == std::numeric_limits&lt;T&gt;::lowest() )">
<colgroup>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
<p>
function
</p>
</th>
<th>
<p>
max
</p>
</th>
<th>
<p>
min
</p>
</th>
</tr></thead>
<tbody>
<tr>
<td>
<p>
bool
</p>
</td>
<td>
<p>
1
</p>
</td>
<td>
<p>
0
</p>
</td>
</tr>
<tr>
<td>
<p>
char
</p>
</td>
<td>
<p>
127
</p>
</td>
<td>
<p>
-128
</p>
</td>
</tr>
<tr>
<td>
<p>
unsigned char
</p>
</td>
<td>
<p>
255
</p>
</td>
<td>
<p>
0
</p>
</td>
</tr>
<tr>
<td>
<p>
char16_t
</p>
</td>
<td>
<p>
65535
</p>
</td>
<td>
<p>
0
</p>
</td>
</tr>
<tr>
<td>
<p>
char32_t
</p>
</td>
<td>
<p>
4294967295
</p>
</td>
<td>
<p>
0
</p>
</td>
</tr>
<tr>
<td>
<p>
short
</p>
</td>
<td>
<p>
32767
</p>
</td>
<td>
<p>
-32768
</p>
</td>
</tr>
<tr>
<td>
<p>
unsigned short
</p>
</td>
<td>
<p>
65535
</p>
</td>
<td>
<p>
0
</p>
</td>
</tr>
<tr>
<td>
<p>
int
</p>
</td>
<td>
<p>
2147483647
</p>
</td>
<td>
<p>
-2147483648
</p>
</td>
</tr>
<tr>
<td>
<p>
unsigned int
</p>
</td>
<td>
<p>
4294967295
</p>
</td>
<td>
<p>
0
</p>
</td>
</tr>
<tr>
<td>
<p>
long
</p>
</td>
<td>
<p>
2147483647
</p>
</td>
<td>
<p>
-2147483648
</p>
</td>
</tr>
<tr>
<td>
<p>
unsigned long
</p>
</td>
<td>
<p>
4294967295
</p>
</td>
<td>
<p>
0
</p>
</td>
</tr>
<tr>
<td>
<p>
long long
</p>
</td>
<td>
<p>
9223372036854775807
</p>
</td>
<td>
<p>
-9223372036854775808
</p>
</td>
</tr>
<tr>
<td>
<p>
unsigned long long
</p>
</td>
<td>
<p>
18446744073709551615
</p>
</td>
<td>
<p>
0
</p>
</td>
</tr>
<tr>
<td>
<p>
int32_t
</p>
</td>
<td>
<p>
2147483647
</p>
</td>
<td>
<p>
-2147483648
</p>
</td>
</tr>
<tr>
<td>
<p>
int64_t
</p>
</td>
<td>
<p>
9223372036854775807
</p>
</td>
<td>
<p>
-9223372036854775808
</p>
</td>
</tr>
<tr>
<td>
<p>
int128_t
</p>
</td>
<td>
<p>
340282366920938463463374607431768211455
</p>
</td>
<td>
<p>
-340282366920938463463374607431768211455
</p>
</td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.tut.limits.limits32.float_functions"></a><p class="title"><b>Table 1.6. Floating-point types constants (<code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;::</span><span class="identifier">is_integer</span><span class="special">==</span><span class="keyword">false</span> <span class="special">&amp;&amp;</span> <span class="identifier">is_signed</span><span class="special">==</span><span class="keyword">true</span> <span class="special">&amp;&amp;</span> <span class="identifier">is_modulo</span><span class="special">==</span><span class="keyword">false</span> <span class="special">&amp;&amp;</span> <span class="identifier">is_exact</span><span class="special">==</span><span class="keyword">false</span> <span class="special">&amp;&amp;</span> <span class="identifier">is_bound</span><span class="special">==</span><span class="keyword">true</span></code>)</b></p>
<div class="table-contents"><table class="table" summary="Floating-point types constants (std::numeric_limits&lt;T&gt;::is_integer==false &amp;&amp; is_signed==true &amp;&amp; is_modulo==false &amp;&amp; is_exact==false &amp;&amp; is_bound==true)">
<colgroup>
<col>
<col>
<col>
<col>
<col>
<col>
<col>
<col>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
<p>
type
</p>
</th>
<th>
<p>
round
</p>
</th>
<th>
<p>
radix
</p>
</th>
<th>
<p>
digits
</p>
</th>
<th>
<p>
digits10
</p>
</th>
<th>
<p>
max_digits10
</p>
</th>
<th>
<p>
min_exp
</p>
</th>
<th>
<p>
min_exp10
</p>
</th>
<th>
<p>
max_exp
</p>
</th>
<th>
<p>
max_exp10
</p>
</th>
<th>
<p>
tiny
</p>
</th>
<th>
<p>
trap
</p>
</th>
</tr></thead>
<tbody>
<tr>
<td>
<p>
float
</p>
</td>
<td>
<p>
to nearest
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
24
</p>
</td>
<td>
<p>
6
</p>
</td>
<td>
<p>
8
</p>
</td>
<td>
<p>
-125
</p>
</td>
<td>
<p>
-37
</p>
</td>
<td>
<p>
128
</p>
</td>
<td>
<p>
38
</p>
</td>
<td>
<p>
tiny
</p>
</td>
<td>
<p>
traps
</p>
</td>
</tr>
<tr>
<td>
<p>
double
</p>
</td>
<td>
<p>
to nearest
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
53
</p>
</td>
<td>
<p>
15
</p>
</td>
<td>
<p>
17
</p>
</td>
<td>
<p>
-1021
</p>
</td>
<td>
<p>
-307
</p>
</td>
<td>
<p>
1024
</p>
</td>
<td>
<p>
308
</p>
</td>
<td>
<p>
tiny
</p>
</td>
<td>
<p>
traps
</p>
</td>
</tr>
<tr>
<td>
<p>
long double
</p>
</td>
<td>
<p>
to nearest
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
53
</p>
</td>
<td>
<p>
15
</p>
</td>
<td>
<p>
17
</p>
</td>
<td>
<p>
-1021
</p>
</td>
<td>
<p>
-307
</p>
</td>
<td>
<p>
1024
</p>
</td>
<td>
<p>
308
</p>
</td>
<td>
<p>
tiny
</p>
</td>
<td>
<p>
traps
</p>
</td>
</tr>
<tr>
<td>
<p>
cpp_dec_float_50
</p>
</td>
<td>
<p>
indeterminate
</p>
</td>
<td>
<p>
10
</p>
</td>
<td>
<p>
50
</p>
</td>
<td>
<p>
50
</p>
</td>
<td>
<p>
80
</p>
</td>
<td>
<p>
-222953000
</p>
</td>
<td>
<p>
-67108864
</p>
</td>
<td>
<p>
222953000
</p>
</td>
<td>
<p>
67108864
</p>
</td>
<td>
<p>
no
</p>
</td>
<td>
<p>
no
</p>
</td>
</tr>
<tr>
<td>
<p>
bin_128bit_double_type
</p>
</td>
<td>
<p>
to nearest
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
377
</p>
</td>
<td>
<p>
113
</p>
</td>
<td>
<p>
115
</p>
</td>
<td>
<p>
-2147482894
</p>
</td>
<td>
<p>
-646392082
</p>
</td>
<td>
<p>
2147482893
</p>
</td>
<td>
<p>
646392082
</p>
</td>
<td>
<p>
no
</p>
</td>
<td>
<p>
traps
</p>
</td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.tut.limits.limits32.float_functions0"></a><p class="title"><b>Table 1.7. Floating-point types functions (<code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;::</span><span class="identifier">is_integer</span>
<span class="special">==</span> <span class="keyword">false</span></code>)</b></p>
<div class="table-contents"><table class="table" summary="Floating-point types functions (std::numeric_limits&lt;T&gt;::is_integer
== false)">
<colgroup>
<col>
<col>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
<p>
function
</p>
</th>
<th>
<p>
float
</p>
</th>
<th>
<p>
double
</p>
</th>
<th>
<p>
long double
</p>
</th>
<th>
<p>
cpp_dec_50
</p>
</th>
<th>
<p>
cpp_bin_128
</p>
</th>
</tr></thead>
<tbody>
<tr>
<td>
<p>
max
</p>
</td>
<td>
<p>
3.40282e+038
</p>
</td>
<td>
<p>
1.79769e+308
</p>
</td>
<td>
<p>
1.79769e+308
</p>
</td>
<td>
<p>
1e+67108865
</p>
</td>
<td>
<p>
1.85906e+646456766
</p>
</td>
</tr>
<tr>
<td>
<p>
min
</p>
</td>
<td>
<p>
1.17549e-038
</p>
</td>
<td>
<p>
2.22507e-308
</p>
</td>
<td>
<p>
2.22507e-308
</p>
</td>
<td>
<p>
1e-67108864
</p>
</td>
<td>
<p>
5.37906e-646456767
</p>
</td>
</tr>
<tr>
<td>
<p>
epsilon
</p>
</td>
<td>
<p>
1.19209e-007
</p>
</td>
<td>
<p>
2.22045e-016
</p>
</td>
<td>
<p>
2.22045e-016
</p>
</td>
<td>
<p>
1e-49
</p>
</td>
<td>
<p>
6.49713e-114
</p>
</td>
</tr>
<tr>
<td>
<p>
round_error
</p>
</td>
<td>
<p>
0.5
</p>
</td>
<td>
<p>
0.5
</p>
</td>
<td>
<p>
0.5
</p>
</td>
<td>
<p>
0.5
</p>
</td>
<td>
<p>
0.5
</p>
</td>
</tr>
<tr>
<td>
<p>
infinity
</p>
</td>
<td>
<p>
1.#INF
</p>
</td>
<td>
<p>
1.#INF
</p>
</td>
<td>
<p>
1.#INF
</p>
</td>
<td>
<p>
inf
</p>
</td>
<td>
<p>
inf
</p>
</td>
</tr>
<tr>
<td>
<p>
quiet_NaN
</p>
</td>
<td>
<p>
1.#QNAN
</p>
</td>
<td>
<p>
1.#QNAN
</p>
</td>
<td>
<p>
1.#QNAN
</p>
</td>
<td>
<p>
nan
</p>
</td>
<td>
<p>
nan
</p>
</td>
</tr>
<tr>
<td>
<p>
signaling_NaN
</p>
</td>
<td>
<p>
1.#QNAN
</p>
</td>
<td>
<p>
1.#QNAN
</p>
</td>
<td>
<p>
1.#QNAN
</p>
</td>
<td>
<p>
0
</p>
</td>
<td>
<p>
0
</p>
</td>
</tr>
<tr>
<td>
<p>
denorm_min
</p>
</td>
<td>
<p>
1.4013e-045
</p>
</td>
<td>
<p>
4.94066e-324
</p>
</td>
<td>
<p>
4.94066e-324
</p>
</td>
<td>
<p>
0
</p>
</td>
<td>
<p>
0
</p>
</td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break">
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2002-2020 John
Maddock and Christopher Kormanyos<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>
</div></td>
</tr></table>
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