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<div class="titlepage"><div><div><h3 class="title">
<a name="boost_multiprecision.ref.backendconc"></a><a class="link" href="backendconc.html" title="Backend Requirements">Backend Requirements</a>
</h3></div></div></div>
<p>
The requirements on the <code class="computeroutput"><span class="identifier">Backend</span></code>
template argument to <code class="computeroutput"><span class="identifier">mp_number</span></code>
are split up into compulsary requirements, and optional requirements that
are either to improve performance or provide optional features.
</p>
<p>
In the following tables, type B is the <code class="computeroutput"><span class="identifier">Backend</span></code>
template arument to <code class="computeroutput"><span class="identifier">mp_number</span></code>,
<code class="computeroutput"><span class="identifier">b</span></code> is a variable of B, <code class="computeroutput"><span class="identifier">cb</span></code> and <code class="computeroutput"><span class="identifier">cb2</span></code>
are constant variables of type B, <code class="computeroutput"><span class="identifier">a</span></code>
is a variable of Arithmetic type, <code class="computeroutput"><span class="identifier">s</span></code>
is a variable of type <code class="computeroutput"><span class="keyword">const</span> <span class="keyword">char</span><span class="special">*</span></code>, <code class="computeroutput"><span class="identifier">ui</span></code> is a variable of type <code class="computeroutput"><span class="keyword">unsigned</span></code>, <code class="computeroutput"><span class="identifier">bb</span></code>
is a variable of type <code class="computeroutput"><span class="keyword">bool</span></code>,
<code class="computeroutput"><span class="identifier">pa</span></code> is a variable of type
pointer-to-arithmetc-type, <code class="computeroutput"><span class="identifier">exp</span></code>
is a variable of type <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">exp_type</span></code>, <code class="computeroutput"><span class="identifier">pexp</span></code>
is a variable of type <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">exp_type</span><span class="special">*</span></code>.
</p>
<div class="table">
<a name="boost_multiprecision.ref.backendconc.compulsary_requirements_on_the_backend_type_"></a><p class="title"><b>Table&#160;1.4.&#160;Compulsary Requirements on the Backend type.</b></p>
<div class="table-contents"><table class="table" summary="Compulsary Requirements on the Backend type.">
<colgroup>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
<p>
Expression
</p>
</th>
<th>
<p>
Return Type
</p>
</th>
<th>
<p>
Comments
</p>
</th>
</tr></thead>
<tbody>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">list</span><span class="special">&lt;</span><span class="identifier">type</span><span class="special">-</span><span class="identifier">list</span><span class="special">&gt;</span></code>
</p>
</td>
<td>
<p>
A list of signed integral types that can be assigned to type B.
The types shall be listed in order of size, smallest first, and
shall terminate in the type that is <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">intmax_t</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">list</span><span class="special">&lt;</span><span class="identifier">type</span><span class="special">-</span><span class="identifier">list</span><span class="special">&gt;</span></code>
</p>
</td>
<td>
<p>
A list of unsigned integral types that can be assigned to type
B. The types shall be listed in order of size, smallest first,
and shall terminate in the type that is <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">uintmax_t</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">list</span><span class="special">&lt;</span><span class="identifier">type</span><span class="special">-</span><span class="identifier">list</span><span class="special">&gt;</span></code>
</p>
</td>
<td>
<p>
A list of floating point types that can be assigned to type B.The
types shall be listed in order of size, smallest first, and shall
terminate in type <code class="computeroutput"><span class="keyword">long</span> <span class="keyword">double</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">exponent_type</span></code>
</p>
</td>
<td>
<p>
A signed integral type.
</p>
</td>
<td>
<p>
The type of the exponent of type B.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">B</span><span class="special">()</span></code>
</p>
</td>
<td>
</td>
<td>
<p>
Default constructor.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">B</span><span class="special">(</span><span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
</td>
<td>
<p>
Copy Constructor.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">b</span> <span class="special">=</span>
<span class="identifier">b</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="identifier">B</span><span class="special">&amp;</span></code>
</p>
</td>
<td>
<p>
Assignment operator.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">b</span> <span class="special">=</span>
<span class="identifier">a</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="identifier">B</span><span class="special">&amp;</span></code>
</p>
</td>
<td>
<p>
Assignment from an Arithmetic type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">b</span> <span class="special">=</span>
<span class="identifier">s</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="identifier">B</span><span class="special">&amp;</span></code>
</p>
</td>
<td>
<p>
Assignment from a string.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">b</span><span class="special">.</span><span class="identifier">swap</span><span class="special">(</span><span class="identifier">b</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Swaps the contents of it's arguments.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">cb</span><span class="special">.</span><span class="identifier">str</span><span class="special">(</span><span class="identifier">ui</span><span class="special">,</span>
<span class="identifier">bb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">string</span></code>
</p>
</td>
<td>
<p>
Returns the string representation of <code class="computeroutput"><span class="identifier">b</span></code>
with <code class="computeroutput"><span class="identifier">ui</span></code> digits
and in scientific format if <code class="computeroutput"><span class="identifier">bb</span></code>
is <code class="computeroutput"><span class="keyword">true</span></code>. If <code class="computeroutput"><span class="identifier">ui</span></code> is zero, then returns as many
digits as are required to reconstruct the original value.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">b</span><span class="special">.</span><span class="identifier">negate</span><span class="special">()</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Negates <code class="computeroutput"><span class="identifier">b</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">cb</span><span class="special">.</span><span class="identifier">compare</span><span class="special">(</span><span class="identifier">cb2</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">int</span></code>
</p>
</td>
<td>
<p>
Compares <code class="computeroutput"><span class="identifier">cb</span></code> and
<code class="computeroutput"><span class="identifier">cb2</span></code>, returns a
value less than zero if <code class="computeroutput"><span class="identifier">cb</span>
<span class="special">&lt;</span> <span class="identifier">cb2</span></code>,
a value greater than zero if <code class="computeroutput"><span class="identifier">cb</span>
<span class="special">&gt;</span> <span class="identifier">cb2</span></code>
and zero if <code class="computeroutput"><span class="identifier">cb</span> <span class="special">==</span> <span class="identifier">cb2</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">cb</span><span class="special">.</span><span class="identifier">compare</span><span class="special">(</span><span class="identifier">a</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">int</span></code>
</p>
</td>
<td>
<p>
Compares <code class="computeroutput"><span class="identifier">cb</span></code> and
<code class="computeroutput"><span class="identifier">a</span></code>, returns a value
less than zero if <code class="computeroutput"><span class="identifier">cb</span>
<span class="special">&lt;</span> <span class="identifier">a</span></code>,
a value greater than zero if <code class="computeroutput"><span class="identifier">cb</span>
<span class="special">&gt;</span> <span class="identifier">a</span></code>
and zero if <code class="computeroutput"><span class="identifier">cb</span> <span class="special">==</span> <span class="identifier">a</span></code>.
The type of <code class="computeroutput"><span class="identifier">a</span></code> shall
be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">add</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Adds <code class="computeroutput"><span class="identifier">cb</span></code> to <code class="computeroutput"><span class="identifier">b</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">subtract</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Subtracts <code class="computeroutput"><span class="identifier">cb</span></code> from
<code class="computeroutput"><span class="identifier">b</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">multiply</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Multiplies <code class="computeroutput"><span class="identifier">b</span></code> by
<code class="computeroutput"><span class="identifier">cb</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">divide</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Divides <code class="computeroutput"><span class="identifier">b</span></code> by <code class="computeroutput"><span class="identifier">cb</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">modulus</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes <code class="computeroutput"><span class="identifier">b</span> <span class="special">%=</span>
<span class="identifier">cb</span></code>, only required when
<code class="computeroutput"><span class="identifier">B</span></code> is an integer
type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">bitwise_and</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes <code class="computeroutput"><span class="identifier">b</span> <span class="special">&amp;=</span>
<span class="identifier">cb</span></code>, only required when
<code class="computeroutput"><span class="identifier">B</span></code> is an integer
type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">bitwise_or</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes <code class="computeroutput"><span class="identifier">b</span> <span class="special">|=</span>
<span class="identifier">cb</span></code>, only required when
<code class="computeroutput"><span class="identifier">B</span></code> is an integer
type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">bitwise_xor</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes <code class="computeroutput"><span class="identifier">b</span> <span class="special">^=</span>
<span class="identifier">cb</span></code>, only required when
<code class="computeroutput"><span class="identifier">B</span></code> is an integer
type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">complement</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes the ones-complement of <code class="computeroutput"><span class="identifier">cb</span></code>
and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>,
only required when <code class="computeroutput"><span class="identifier">B</span></code>
is an integer type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">left_shift</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">ui</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes <code class="computeroutput"><span class="identifier">b</span> <span class="special">&lt;&lt;=</span>
<span class="identifier">ui</span></code>, only required when
<code class="computeroutput"><span class="identifier">B</span></code> is an integer
type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">right_shift</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">ui</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes <code class="computeroutput"><span class="identifier">b</span> <span class="special">&gt;&gt;=</span>
<span class="identifier">ui</span></code>, only required when
<code class="computeroutput"><span class="identifier">B</span></code> is an integer
type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">convert_to</span><span class="special">(</span><span class="identifier">pa</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Converts <code class="computeroutput"><span class="identifier">cb</span></code> to
the type of <code class="computeroutput"><span class="special">*</span><span class="identifier">pa</span></code>
and store the result in <code class="computeroutput"><span class="special">*</span><span class="identifier">pa</span></code>. Type <code class="computeroutput"><span class="identifier">B</span></code>
shall support conversion to at least types <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">intmax_t</span></code>,
<code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">uintmax_t</span></code> and <code class="computeroutput"><span class="keyword">long</span>
<span class="keyword">long</span></code>. Conversion to other
arithmetic types can then be synthesised using other operations.
Conversions to other types are entirely optional.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_frexp</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">,</span>
<span class="identifier">pexp</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Stores values in <code class="computeroutput"><span class="identifier">b</span></code>
and <code class="computeroutput"><span class="special">*</span><span class="identifier">pexp</span></code>
such that the value of <code class="computeroutput"><span class="identifier">cb</span></code>
is b * 2<sup>*pexp</sup>, only required when <code class="computeroutput"><span class="identifier">B</span></code>
is a floating point type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_ldexp</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">,</span>
<span class="identifier">exp</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Stores a value in <code class="computeroutput"><span class="identifier">b</span></code>
that is cb * 2<sup>exp</sup>, only required when <code class="computeroutput"><span class="identifier">B</span></code>
is a floating point type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_floor</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Stores the floor of <code class="computeroutput"><span class="identifier">cb</span></code>
in <code class="computeroutput"><span class="identifier">b</span></code>, only required
when <code class="computeroutput"><span class="identifier">B</span></code> is a floating
point type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_ceil</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Stores the ceiling of <code class="computeroutput"><span class="identifier">cb</span></code>
in <code class="computeroutput"><span class="identifier">b</span></code>, only required
when <code class="computeroutput"><span class="identifier">B</span></code> is a floating
point type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_sqrt</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Stores the square root of <code class="computeroutput"><span class="identifier">cb</span></code>
in <code class="computeroutput"><span class="identifier">b</span></code>, only required
when <code class="computeroutput"><span class="identifier">B</span></code> is a floating
point type.
</p>
</td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.ref.backendconc.optional_requirements_on_the_backend_type"></a><p class="title"><b>Table&#160;1.5.&#160;Optional Requirements on the Backend Type</b></p>
<div class="table-contents"><table class="table" summary="Optional Requirements on the Backend Type">
<colgroup>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
<p>
Expression
</p>
</th>
<th>
<p>
Returns
</p>
</th>
<th>
<p>
Comments
</p>
</th>
</tr></thead>
<tbody>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">add</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">a</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Adds <code class="computeroutput"><span class="identifier">a</span></code> to <code class="computeroutput"><span class="identifier">b</span></code>. The type of <code class="computeroutput"><span class="identifier">a</span></code> shall be listed in one of the
type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>, <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code>
or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">subtract</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">a</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Subtracts <code class="computeroutput"><span class="identifier">a</span></code> from
<code class="computeroutput"><span class="identifier">b</span></code>. The type of
<code class="computeroutput"><span class="identifier">a</span></code> shall be listed
in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">multiply</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">a</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Multiplies <code class="computeroutput"><span class="identifier">b</span></code> by
<code class="computeroutput"><span class="identifier">a</span></code>. The type of
<code class="computeroutput"><span class="identifier">a</span></code> shall be listed
in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">divide</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">a</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Divides <code class="computeroutput"><span class="identifier">b</span></code> by <code class="computeroutput"><span class="identifier">a</span></code>. The type of <code class="computeroutput"><span class="identifier">a</span></code> shall be listed in one of the
type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>, <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code>
or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">modulus</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">a</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes <code class="computeroutput"><span class="identifier">b</span> <span class="special">%=</span>
<span class="identifier">cb</span></code>, only required when
<code class="computeroutput"><span class="identifier">B</span></code> is an integer
type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">bitwise_and</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">a</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes <code class="computeroutput"><span class="identifier">b</span> <span class="special">&amp;=</span>
<span class="identifier">cb</span></code>, only required when
<code class="computeroutput"><span class="identifier">B</span></code> is an integer
type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">bitwise_or</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">a</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes <code class="computeroutput"><span class="identifier">b</span> <span class="special">|=</span>
<span class="identifier">cb</span></code>, only required when
<code class="computeroutput"><span class="identifier">B</span></code> is an integer
type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">bitwise_xor</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">a</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes <code class="computeroutput"><span class="identifier">b</span> <span class="special">^=</span>
<span class="identifier">cb</span></code>, only required when
<code class="computeroutput"><span class="identifier">B</span></code> is an integer
type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">add</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">,</span>
<span class="identifier">cb2</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Add <code class="computeroutput"><span class="identifier">cb</span></code> to <code class="computeroutput"><span class="identifier">cb2</span></code> and stores the result in
<code class="computeroutput"><span class="identifier">b</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">subtract</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">,</span>
<span class="identifier">cb2</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Subtracts <code class="computeroutput"><span class="identifier">cb2</span></code> from
<code class="computeroutput"><span class="identifier">cb</span></code> and stores the
result in <code class="computeroutput"><span class="identifier">b</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">multiply</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">,</span>
<span class="identifier">cb2</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Multiplies <code class="computeroutput"><span class="identifier">cb</span></code> by
<code class="computeroutput"><span class="identifier">cb2</span></code> and stores
the result in <code class="computeroutput"><span class="identifier">b</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">divide</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">,</span>
<span class="identifier">cb2</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Divides <code class="computeroutput"><span class="identifier">cb</span></code> by
<code class="computeroutput"><span class="identifier">cb2</span></code> and stores
the result in <code class="computeroutput"><span class="identifier">b</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">add</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">,</span>
<span class="identifier">a</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Add <code class="computeroutput"><span class="identifier">cb</span></code> to <code class="computeroutput"><span class="identifier">a</span></code> and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>. The type of <code class="computeroutput"><span class="identifier">a</span></code> shall be listed in one of the
type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>, <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code>
or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">subtract</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">,</span>
<span class="identifier">a</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Subtracts <code class="computeroutput"><span class="identifier">a</span></code> from
<code class="computeroutput"><span class="identifier">cb</span></code> and stores the
result in <code class="computeroutput"><span class="identifier">b</span></code>. The
type of <code class="computeroutput"><span class="identifier">a</span></code> shall
be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">multiply</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">,</span>
<span class="identifier">a</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Multiplies <code class="computeroutput"><span class="identifier">cb</span></code> by
<code class="computeroutput"><span class="identifier">a</span></code> and stores the
result in <code class="computeroutput"><span class="identifier">b</span></code>. The
type of <code class="computeroutput"><span class="identifier">a</span></code> shall
be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">divide</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">,</span>
<span class="identifier">a</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Divides <code class="computeroutput"><span class="identifier">cb</span></code> by
<code class="computeroutput"><span class="identifier">a</span></code> and stores the
result in <code class="computeroutput"><span class="identifier">b</span></code>. The
type of <code class="computeroutput"><span class="identifier">a</span></code> shall
be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">modulus</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">,</span>
<span class="identifier">cb2</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">%</span>
<span class="identifier">cb2</span></code> and stores the result
in <code class="computeroutput"><span class="identifier">b</span></code>, only required
when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">bitwise_and</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">,</span>
<span class="identifier">cb2</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">&amp;</span>
<span class="identifier">cb2</span></code> and stores the result
in <code class="computeroutput"><span class="identifier">b</span></code>, only required
when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">bitwise_or</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">,</span>
<span class="identifier">cb2</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">|</span>
<span class="identifier">cb2</span></code> and stores the result
in <code class="computeroutput"><span class="identifier">b</span></code>, only required
when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">bitwise_xor</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">,</span>
<span class="identifier">cb2</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">^</span>
<span class="identifier">cb2</span></code> and stores the result
in <code class="computeroutput"><span class="identifier">b</span></code>, only required
when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">add</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">a</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Add <code class="computeroutput"><span class="identifier">a</span></code> to <code class="computeroutput"><span class="identifier">cb</span></code> and stores the result in
<code class="computeroutput"><span class="identifier">b</span></code>. The type of
<code class="computeroutput"><span class="identifier">a</span></code> shall be listed
in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">subtract</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">a</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Subtracts <code class="computeroutput"><span class="identifier">cb</span></code> from
<code class="computeroutput"><span class="identifier">a</span></code> and stores the
result in <code class="computeroutput"><span class="identifier">b</span></code>. The
type of <code class="computeroutput"><span class="identifier">a</span></code> shall
be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">multiply</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">a</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Multiplies <code class="computeroutput"><span class="identifier">a</span></code> by
<code class="computeroutput"><span class="identifier">cb</span></code> and stores the
result in <code class="computeroutput"><span class="identifier">b</span></code>. The
type of <code class="computeroutput"><span class="identifier">a</span></code> shall
be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">divide</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">a</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Divides <code class="computeroutput"><span class="identifier">a</span></code> by <code class="computeroutput"><span class="identifier">cb</span></code> and stores the result in
<code class="computeroutput"><span class="identifier">b</span></code>. The type of
<code class="computeroutput"><span class="identifier">a</span></code> shall be listed
in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">modulus</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">,</span>
<span class="identifier">a</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">%</span>
<span class="identifier">a</span></code> and stores the result
in <code class="computeroutput"><span class="identifier">b</span></code>, only required
when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">bitwise_and</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">,</span>
<span class="identifier">a</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">&amp;</span>
<span class="identifier">a</span></code> and stores the result
in <code class="computeroutput"><span class="identifier">b</span></code>, only required
when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">bitwise_or</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">,</span>
<span class="identifier">a</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">|</span>
<span class="identifier">a</span></code> and stores the result
in <code class="computeroutput"><span class="identifier">b</span></code>, only required
when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">bitwise_xor</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">,</span>
<span class="identifier">a</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">^</span>
<span class="identifier">a</span></code> and stores the result
in <code class="computeroutput"><span class="identifier">b</span></code>, only required
when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">modulus</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">a</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">%</span>
<span class="identifier">a</span></code> and stores the result
in <code class="computeroutput"><span class="identifier">b</span></code>, only required
when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">bitwise_and</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">a</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">&amp;</span>
<span class="identifier">a</span></code> and stores the result
in <code class="computeroutput"><span class="identifier">b</span></code>, only required
when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">bitwise_or</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">a</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">|</span>
<span class="identifier">a</span></code> and stores the result
in <code class="computeroutput"><span class="identifier">b</span></code>, only required
when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">bitwise_xor</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">a</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes <code class="computeroutput"><span class="identifier">a</span> <span class="special">^</span>
<span class="identifier">cb</span></code> and stores the result
in <code class="computeroutput"><span class="identifier">b</span></code>, only required
when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
<code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">left_shift</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">,</span>
<span class="identifier">ui</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">&lt;&lt;</span>
<span class="identifier">ui</span></code> and stores the result
in <code class="computeroutput"><span class="identifier">b</span></code>, only required
when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">right_shift</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">,</span>
<span class="identifier">ui</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">&gt;&gt;</span>
<span class="identifier">ui</span></code> and stores the result
in <code class="computeroutput"><span class="identifier">b</span></code>, only required
when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">increment</span><span class="special">(</span><span class="identifier">b</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
void
</p>
</td>
<td>
<p>
Increments the value of <code class="computeroutput"><span class="identifier">b</span></code>
by one.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">decrement</span><span class="special">(</span><span class="identifier">b</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
void
</p>
</td>
<td>
<p>
Decrements the value of <code class="computeroutput"><span class="identifier">b</span></code>
by one.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">is_zero</span><span class="special">(</span><span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">bool</span></code>
</p>
</td>
<td>
<p>
Returns <code class="computeroutput"><span class="keyword">true</span></code> if <code class="computeroutput"><span class="identifier">cb</span></code> is zero, otherwise <code class="computeroutput"><span class="keyword">false</span></code>
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">get_sign</span><span class="special">(</span><span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">int</span></code>
</p>
</td>
<td>
<p>
Returns a value &lt; zero if <code class="computeroutput"><span class="identifier">cb</span></code>
is negative, a value &gt; zero if <code class="computeroutput"><span class="identifier">cb</span></code>
is positive, and zero if <code class="computeroutput"><span class="identifier">cb</span></code>
is zero.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_abs</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Set <code class="computeroutput"><span class="identifier">b</span></code> to the absolute
value of <code class="computeroutput"><span class="identifier">cb</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_fabs</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Set <code class="computeroutput"><span class="identifier">b</span></code> to the absolute
value of <code class="computeroutput"><span class="identifier">cb</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_fpclassify</span><span class="special">(</span><span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">int</span></code>
</p>
</td>
<td>
<p>
Returns one of the same values returned by <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">fpclassify</span></code>.
Only required when <code class="computeroutput"><span class="identifier">B</span></code>
is an floating point type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_trunc</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">trunc</span></code>
on argument <code class="computeroutput"><span class="identifier">cb</span></code>
and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
Only required when <code class="computeroutput"><span class="identifier">B</span></code>
is an floating point type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_round</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">,</span>
<span class="identifier">cb2</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">round</span></code>
on argument <code class="computeroutput"><span class="identifier">cb</span></code>
and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
Only required when <code class="computeroutput"><span class="identifier">B</span></code>
is an floating point type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_exp</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">exp</span></code>
on argument <code class="computeroutput"><span class="identifier">cb</span></code>
and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
Only required when <code class="computeroutput"><span class="identifier">B</span></code>
is an floating point type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_log</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">log</span></code>
on argument <code class="computeroutput"><span class="identifier">cb</span></code>
and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
Only required when <code class="computeroutput"><span class="identifier">B</span></code>
is an floating point type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_log10</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">log10</span></code>
on argument <code class="computeroutput"><span class="identifier">cb</span></code>
and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
Only required when <code class="computeroutput"><span class="identifier">B</span></code>
is an floating point type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_sin</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">sin</span></code>
on argument <code class="computeroutput"><span class="identifier">cb</span></code>
and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
Only required when <code class="computeroutput"><span class="identifier">B</span></code>
is an floating point type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_cos</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">cos</span></code>
on argument <code class="computeroutput"><span class="identifier">cb</span></code>
and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
Only required when <code class="computeroutput"><span class="identifier">B</span></code>
is an floating point type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_tan</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">exp</span></code>
on argument <code class="computeroutput"><span class="identifier">cb</span></code>
and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
Only required when <code class="computeroutput"><span class="identifier">B</span></code>
is an floating point type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_asin</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">asin</span></code>
on argument <code class="computeroutput"><span class="identifier">cb</span></code>
and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
Only required when <code class="computeroutput"><span class="identifier">B</span></code>
is an floating point type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_acos</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">acos</span></code>
on argument <code class="computeroutput"><span class="identifier">cb</span></code>
and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
Only required when <code class="computeroutput"><span class="identifier">B</span></code>
is an floating point type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_atan</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">atan</span></code>
on argument <code class="computeroutput"><span class="identifier">cb</span></code>
and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
Only required when <code class="computeroutput"><span class="identifier">B</span></code>
is an floating point type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_sinh</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">sinh</span></code>
on argument <code class="computeroutput"><span class="identifier">cb</span></code>
and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
Only required when <code class="computeroutput"><span class="identifier">B</span></code>
is an floating point type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_cosh</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">cosh</span></code>
on argument <code class="computeroutput"><span class="identifier">cb</span></code>
and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
Only required when <code class="computeroutput"><span class="identifier">B</span></code>
is an floating point type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_tanh</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">tanh</span></code>
on argument <code class="computeroutput"><span class="identifier">cb</span></code>
and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
Only required when <code class="computeroutput"><span class="identifier">B</span></code>
is an floating point type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_fmod</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">,</span>
<span class="identifier">cb2</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">fmod</span></code>
on arguments <code class="computeroutput"><span class="identifier">cb</span></code>
and <code class="computeroutput"><span class="identifier">cb2</span></code>, and store
the result in <code class="computeroutput"><span class="identifier">b</span></code>.
Only required when <code class="computeroutput"><span class="identifier">B</span></code>
is an floating point type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_pow</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">,</span>
<span class="identifier">cb2</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">pow</span></code>
on arguments <code class="computeroutput"><span class="identifier">cb</span></code>
and <code class="computeroutput"><span class="identifier">cb2</span></code>, and store
the result in <code class="computeroutput"><span class="identifier">b</span></code>.
Only required when <code class="computeroutput"><span class="identifier">B</span></code>
is an floating point type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">eval_atan2</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
<span class="identifier">cb</span><span class="special">,</span>
<span class="identifier">cb2</span><span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">atan</span></code>
on arguments <code class="computeroutput"><span class="identifier">cb</span></code>
and <code class="computeroutput"><span class="identifier">cb2</span></code>, and store
the result in <code class="computeroutput"><span class="identifier">b</span></code>.
Only required when <code class="computeroutput"><span class="identifier">B</span></code>
is an floating point type.
</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 &#169; 2011 John Maddock<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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