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- </div>
- <div class="section">
- <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">number</span></code>
- are split up into sections: compulsory and optional.
- </p>
- <p>
- Compulsory requirements have no default implementation in the library, therefore
- if the feature they implement is to be supported at all, then they must be
- implemented by the backend.
- </p>
- <p>
- Optional requirements have default implementations that are called if the
- backend doesn't provide it's own. Typically the backend will implement these
- to improve performance.
- </p>
- <p>
- In the following tables, type B is the <code class="computeroutput"><span class="identifier">Backend</span></code>
- template argument to <code class="computeroutput"><span class="identifier">number</span></code>,
- <code class="computeroutput"><span class="identifier">b</span></code> and <code class="computeroutput"><span class="identifier">b2</span></code>
- are a variables of type B, <code class="computeroutput"><span class="identifier">pb</span></code>
- is a variable of type B*, <code class="computeroutput"><span class="identifier">cb</span></code>,
- <code class="computeroutput"><span class="identifier">cb2</span></code> and <code class="computeroutput"><span class="identifier">cb3</span></code>
- are constant variables of type <code class="computeroutput"><span class="keyword">const</span>
- <span class="identifier">B</span></code>, <code class="computeroutput"><span class="identifier">rb</span></code>
- is a variable of type <code class="computeroutput"><span class="identifier">B</span><span class="special">&&</span></code>,
- <code class="computeroutput"><span class="identifier">a</span></code> and <code class="computeroutput"><span class="identifier">a2</span></code>
- are variables 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-arithmetic-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>,
- <code class="computeroutput"><span class="identifier">i</span></code> is a variable of type
- <code class="computeroutput"><span class="keyword">int</span></code>, <code class="computeroutput"><span class="identifier">pi</span></code>
- pointer to a variable of type <code class="computeroutput"><span class="keyword">int</span></code>,
- B2 is another type that meets these requirements, b2 is a variable of type
- B2, <code class="computeroutput"><span class="identifier">ss</span></code> is variable of type
- <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">streamsize</span></code> and <code class="computeroutput"><span class="identifier">ff</span></code>
- is a variable of type <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">ios_base</span><span class="special">::</span><span class="identifier">fmtflags</span></code>.
- </p>
- <div class="table">
- <a name="boost_multiprecision.ref.backendconc.compulsory_requirements_on_the_b"></a><p class="title"><b>Table 1.8. Compulsory Requirements on the Backend type.</b></p>
- <div class="table-contents"><table class="table" summary="Compulsory Requirements on the Backend type.">
- <colgroup>
- <col>
- <col>
- <col>
- <col>
- </colgroup>
- <thead><tr>
- <th>
- <p>
- Expression
- </p>
- </th>
- <th>
- <p>
- Return Type
- </p>
- </th>
- <th>
- <p>
- Comments
- </p>
- </th>
- <th>
- <p>
- Throws
- </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"><</span><span class="identifier">type</span><span class="special">-</span><span class="identifier">list</span><span class="special">></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>
- <td>
- <p>
-  
- </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"><</span><span class="identifier">type</span><span class="special">-</span><span class="identifier">list</span><span class="special">></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>
- <td>
- <p>
-  
- </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"><</span><span class="identifier">type</span><span class="special">-</span><span class="identifier">list</span><span class="special">></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>
- <td>
- <p>
-  
- </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. This type is required only
- for floating-point types.
- </p>
- </td>
- <td>
- <p>
-  
- </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>
- <td>
- <p>
-  
- </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>
- <td>
- <p>
-  
- </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">&</span></code>
- </p>
- </td>
- <td>
- <p>
- Assignment operator.
- </p>
- </td>
- <td>
- <p>
-  
- </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">&</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>
- <td>
- <p>
-  
- </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">&</span></code>
- </p>
- </td>
- <td>
- <p>
- Assignment from a string.
- </p>
- </td>
- <td>
- <p>
- Throws a <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">runtime_error</span></code> if the string could
- not be interpreted as a valid number.
- </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 its arguments.
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="keyword">noexcept</span></code>
- </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">ss</span><span class="special">,</span>
- <span class="identifier">ff</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">ss</span></code> digits
- and formatted according to the flags set in <code class="computeroutput"><span class="identifier">ff</span></code>.
- If <code class="computeroutput"><span class="identifier">ss</span></code> is zero,
- then returns as many digits as are required to reconstruct the
- original value.
- </p>
- </td>
- <td>
- <p>
-  
- </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>
- <td>
- <p>
-  
- </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"><</span> <span class="identifier">cb2</span></code>,
- a value greater than zero if <code class="computeroutput"><span class="identifier">cb</span>
- <span class="special">></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>
- <td>
- <p>
- <code class="computeroutput"><span class="keyword">noexcept</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"><</span> <span class="identifier">a</span></code>,
- a value greater than zero if <code class="computeroutput"><span class="identifier">cb</span>
- <span class="special">></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>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">overflow_error</span></code> if cb has the
- value zero, and <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special"><</span><span class="identifier">number</span><span class="special"><</span><span class="identifier">B</span><span class="special">></span> <span class="special">>::</span><span class="identifier">has_infinity</span> <span class="special">==</span>
- <span class="keyword">false</span></code>
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">overflow_error</span></code> if cb has the
- value zero.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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">&=</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>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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"><<=</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>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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">>>=</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>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>
- <td>
- <p>
-  
- </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>
- <td>
- <p>
-  
- </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>
- <td>
- <p>
-  
- </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">pi</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">pi</span></code>
- such that the value of <code class="computeroutput"><span class="identifier">cb</span></code>
- is b * 2<sup>*pi</sup>, only required when <code class="computeroutput"><span class="identifier">B</span></code>
- is a floating-point type.
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">runtime_error</span></code> if the exponent
- of cb is too large to be stored in an <code class="computeroutput"><span class="keyword">int</span></code>.
- </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">i</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>i</sup>, only required when <code class="computeroutput"><span class="identifier">B</span></code>
- is a floating-point type.
- </p>
- </td>
- <td>
- <p>
-  
- </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>
- <td>
- <p>
-  
- </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>
- <td>
- <p>
-  
- </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>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">::</span><span class="identifier">number_category</span><span class="special"><</span><span class="identifier">B</span><span class="special">>::</span><span class="identifier">type</span></code>
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">int_</span><span class="special"><</span><span class="identifier">N</span><span class="special">></span></code>
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">N</span></code> is one of the
- values <code class="computeroutput"><span class="identifier">number_kind_integer</span></code>,
- <code class="computeroutput"><span class="identifier">number_kind_floating_point</span></code>,
- <code class="computeroutput"><span class="identifier">number_kind_complex</span></code>,
- <code class="computeroutput"><span class="identifier">number_kind_rational</span></code>
- or <code class="computeroutput"><span class="identifier">number_kind_fixed_point</span></code>.
- Defaults to <code class="computeroutput"><span class="identifier">number_kind_floating_point</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_conj</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>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the complex
- conjugate of <code class="computeroutput"><span class="identifier">cb</span></code>.
- Required for complex types only - other types have a sensible default.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_proj</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>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the Riemann
- projection of <code class="computeroutput"><span class="identifier">cb</span></code>.
- Required for complex types only - other types have a sensible default.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_real</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>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the real
- part of <code class="computeroutput"><span class="identifier">cb</span></code>. Required
- for complex types only - other types have a sensible default.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_imag</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>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the imaginary
- of <code class="computeroutput"><span class="identifier">cb</span></code>. Required
- for complex types only - other types have a sensible default.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_set_real</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>
- Sets the real part of <code class="computeroutput"><span class="identifier">b</span></code>
- to <code class="computeroutput"><span class="identifier">cb</span></code>. Required
- for complex types only - other types have a sensible default.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_set_imag</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>
- Sets the imaginary part of <code class="computeroutput"><span class="identifier">b</span></code>
- to <code class="computeroutput"><span class="identifier">cb</span></code>. Required
- for complex types only - other types have a sensible default.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- </tbody>
- </table></div>
- </div>
- <br class="table-break"><div class="table">
- <a name="boost_multiprecision.ref.backendconc.optional_requirements_on_the_bac"></a><p class="title"><b>Table 1.9. 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>
- <th>
- <p>
- Throws
- </p>
- </th>
- </tr></thead>
- <tbody>
- <tr>
- <td>
- <p>
- <span class="emphasis"><em>Construct and assign:</em></span>
- </p>
- </td>
- <td class="auto-generated"> </td>
- <td class="auto-generated"> </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">B</span><span class="special">(</span><span class="identifier">rb</span><span class="special">)</span></code>
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">B</span></code>
- </p>
- </td>
- <td>
- <p>
- Move constructor. Afterwards variable <code class="computeroutput"><span class="identifier">rb</span></code>
- shall be in sane state, albeit with unspecified value. Only destruction
- and assignment to the moved-from variable <code class="computeroutput"><span class="identifier">rb</span></code>
- need be supported after the operation.
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="keyword">noexcept</span></code>
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">b</span> <span class="special">=</span>
- <span class="identifier">rb</span></code>
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">B</span><span class="special">&</span></code>
- </p>
- </td>
- <td>
- <p>
- Move-assign. Afterwards variable <code class="computeroutput"><span class="identifier">rb</span></code>
- shall be in sane state, albeit with unspecified value. Only destruction
- and assignment to the moved-from variable <code class="computeroutput"><span class="identifier">rb</span></code>
- need be supported after the operation.
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="keyword">noexcept</span></code>
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><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="identifier">B</span></code>
- </p>
- </td>
- <td>
- <p>
- Direct construction 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>. When not provided,
- this operation is simulated using default-construction followed
- by assignment.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">B</span><span class="special">(</span><span class="identifier">b2</span><span class="special">)</span></code>
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">B</span></code>
- </p>
- </td>
- <td>
- <p>
- Copy constructor from a different back-end type. When not provided,
- a generic interconversion routine is used. This constructor may
- be <code class="computeroutput"><span class="keyword">explicit</span></code> if the
- corresponding frontend constructor should also be <code class="computeroutput"><span class="keyword">explicit</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">b</span> <span class="special">=</span>
- <span class="identifier">b2</span></code>
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">b</span><span class="special">&</span></code>
- </p>
- </td>
- <td>
- <p>
- Assignment operator from a different back-end type. When not provided,
- a generic interconversion routine is used.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">assign_components</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">a</span><span class="special">)</span></code>
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="keyword">void</span></code>
- </p>
- </td>
- <td>
- <p>
- Assigns to <code class="computeroutput"><span class="identifier">b</span></code> the
- two components in the following arguments. Only applies to rational
- and complex number types. When not provided, arithmetic operations
- are used to synthesise the result from the two values.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">assign_components</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">b2</span><span class="special">,</span> <span class="identifier">b2</span><span class="special">)</span></code>
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="keyword">void</span></code>
- </p>
- </td>
- <td>
- <p>
- Assigns to <code class="computeroutput"><span class="identifier">b</span></code> the
- two components in the following arguments. Only applies to rational
- and complex number types. When not provided, arithmetic operations
- are used to synthesise the result from the two values.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <span class="emphasis"><em>Comparisons:</em></span>
- </p>
- </td>
- <td class="auto-generated"> </td>
- <td class="auto-generated"> </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_eq</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">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> and <code class="computeroutput"><span class="identifier">cb2</span></code>
- are equal in value. When not provided, the default implementation
- returns <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>
- <span class="special">==</span> <span class="number">0</span></code>.
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="keyword">noexcept</span></code>
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_eq</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">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> and <code class="computeroutput"><span class="identifier">a</span></code>
- are equal in value. 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>. When not provided,
- return the equivalent of <code class="computeroutput"><span class="identifier">eval_eq</span><span class="special">(</span><span class="identifier">cb</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>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_eq</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">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> and <code class="computeroutput"><span class="identifier">a</span></code>
- are equal in value. 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>. When not provided,
- the default version returns <code class="computeroutput"><span class="identifier">eval_eq</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>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_lt</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">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 less than <code class="computeroutput"><span class="identifier">cb2</span></code> in value. When not provided,
- the default implementation returns <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> <span class="special"><</span>
- <span class="number">0</span></code>.
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="keyword">noexcept</span></code>
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_lt</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">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 less than <code class="computeroutput"><span class="identifier">a</span></code> in value. 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>. When not provided,
- the default implementation returns <code class="computeroutput"><span class="identifier">eval_lt</span><span class="special">(</span><span class="identifier">cb</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>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_lt</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">bool</span></code>
- </p>
- </td>
- <td>
- <p>
- Returns <code class="computeroutput"><span class="keyword">true</span></code> if <code class="computeroutput"><span class="identifier">a</span></code> is less than <code class="computeroutput"><span class="identifier">cb</span></code> in value. 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>. When not provided,
- the default implementation returns <code class="computeroutput"><span class="identifier">eval_gt</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>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_gt</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">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 greater than <code class="computeroutput"><span class="identifier">cb2</span></code> in value. When not provided,
- the default implementation returns <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> <span class="special">></span>
- <span class="number">0</span></code>.
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="keyword">noexcept</span></code>
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_gt</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">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 greater than <code class="computeroutput"><span class="identifier">a</span></code> in value. 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>. When not provided,
- the default implementation returns <code class="computeroutput"><span class="identifier">eval_gt</span><span class="special">(</span><span class="identifier">cb</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>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_gt</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">bool</span></code>
- </p>
- </td>
- <td>
- <p>
- Returns <code class="computeroutput"><span class="keyword">true</span></code> if <code class="computeroutput"><span class="identifier">a</span></code> is greater than <code class="computeroutput"><span class="identifier">cb</span></code> in value. 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>. When not provided,
- the default implementation returns <code class="computeroutput"><span class="identifier">eval_lt</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>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>. The default version of this
- function returns <code class="computeroutput"><span class="identifier">cb</span><span class="special">.</span><span class="identifier">compare</span><span class="special">(</span><span class="identifier">ui_type</span><span class="special">(</span><span class="number">0</span><span class="special">))</span> <span class="special">==</span>
- <span class="number">0</span></code>, where <code class="computeroutput"><span class="identifier">ui_type</span></code>
- is <code class="computeroutput"><span class="identifier">ui_type</span></code> is
- <code class="computeroutput"><span class="keyword">typename</span> <span class="identifier">mpl</span><span class="special">::</span><span class="identifier">front</span><span class="special"><</span><span class="keyword">typename</span>
- <span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span><span class="special">>::</span><span class="identifier">type</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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 < zero if <code class="computeroutput"><span class="identifier">cb</span></code>
- is negative, a value > 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. The default version of this function returns <code class="computeroutput"><span class="identifier">cb</span><span class="special">.</span><span class="identifier">compare</span><span class="special">(</span><span class="identifier">ui_type</span><span class="special">(</span><span class="number">0</span><span class="special">))</span></code>,
- where <code class="computeroutput"><span class="identifier">ui_type</span></code> is
- <code class="computeroutput"><span class="identifier">ui_type</span></code> is <code class="computeroutput"><span class="keyword">typename</span> <span class="identifier">mpl</span><span class="special">::</span><span class="identifier">front</span><span class="special"><</span><span class="keyword">typename</span>
- <span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span><span class="special">>::</span><span class="identifier">type</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <span class="emphasis"><em>Basic arithmetic:</em></span>
- </p>
- </td>
- <td class="auto-generated"> </td>
- <td class="auto-generated"> </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>. When not provided,
- the default version calls <code class="computeroutput"><span class="identifier">eval_add</span><span class="special">(</span><span class="identifier">b</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>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>. When not provided,
- does the equivalent of <code class="computeroutput"><span class="identifier">b</span>
- <span class="special">=</span> <span class="identifier">cb</span><span class="special">;</span> <span class="identifier">eval_add</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">cb2</span><span class="special">)</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>. When not provided,
- does the equivalent of <code class="computeroutput"><span class="identifier">eval_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">B</span><span class="special">(</span><span class="identifier">a</span><span class="special">))</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>. When not provided,
- does the equivalent of <code class="computeroutput"><span class="identifier">eval_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>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>. When not provided,
- the default version calls <code class="computeroutput"><span class="identifier">eval_subtract</span><span class="special">(</span><span class="identifier">b</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>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>. When
- not provided, does the equivalent of <code class="computeroutput"><span class="identifier">b</span>
- <span class="special">=</span> <span class="identifier">cb</span><span class="special">;</span> <span class="identifier">eval_subtract</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">cb2</span><span class="special">)</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>. When not provided,
- does the equivalent of <code class="computeroutput"><span class="identifier">eval_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">B</span><span class="special">(</span><span class="identifier">a</span><span class="special">))</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>. When not provided,
- does the equivalent of <code class="computeroutput"><span class="identifier">eval_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> <span class="identifier">b</span><span class="special">.</span><span class="identifier">negate</span><span class="special">();</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>. When not provided,
- the default version calls <code class="computeroutput"><span class="identifier">eval_multiply</span><span class="special">(</span><span class="identifier">b</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>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>.
- When not provided, does the equivalent of <code class="computeroutput"><span class="identifier">b</span>
- <span class="special">=</span> <span class="identifier">cb</span><span class="special">;</span> <span class="identifier">eval_multiply</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">cb2</span><span class="special">)</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>. When not provided,
- does the equivalent of <code class="computeroutput"><span class="identifier">eval_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">B</span><span class="special">(</span><span class="identifier">a</span><span class="special">))</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>. When not provided,
- does the equivalent of <code class="computeroutput"><span class="identifier">eval_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>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_multiply_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>
- Multiplies <code class="computeroutput"><span class="identifier">cb</span></code> by
- <code class="computeroutput"><span class="identifier">cb2</span></code> and adds the
- result to <code class="computeroutput"><span class="identifier">b</span></code>. When
- not provided does the equivalent of creating a temporary <code class="computeroutput"><span class="identifier">B</span> <span class="identifier">t</span></code>
- and <code class="computeroutput"><span class="identifier">eval_multiply</span><span class="special">(</span><span class="identifier">t</span><span class="special">,</span> <span class="identifier">cb</span><span class="special">,</span> <span class="identifier">cb2</span><span class="special">)</span></code> followed by <code class="computeroutput"><span class="identifier">eval_add</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">t</span><span class="special">)</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_multiply_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>
- Multiplies <code class="computeroutput"><span class="identifier">a</span></code> by
- <code class="computeroutput"><span class="identifier">cb</span></code> and adds the
- result 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>. When not provided
- does the equivalent of creating a temporary <code class="computeroutput"><span class="identifier">B</span>
- <span class="identifier">t</span></code> and <code class="computeroutput"><span class="identifier">eval_multiply</span><span class="special">(</span><span class="identifier">t</span><span class="special">,</span> <span class="identifier">cb</span><span class="special">,</span> <span class="identifier">a</span><span class="special">)</span></code> followed by <code class="computeroutput"><span class="identifier">eval_add</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">t</span><span class="special">)</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_multiply_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>
- Multiplies <code class="computeroutput"><span class="identifier">a</span></code> by
- <code class="computeroutput"><span class="identifier">cb</span></code> and adds the
- result 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>. When not provided
- does the equivalent of <code class="computeroutput"><span class="identifier">eval_multiply_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>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_multiply_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>
- Multiplies <code class="computeroutput"><span class="identifier">cb</span></code> by
- <code class="computeroutput"><span class="identifier">cb2</span></code> and subtracts
- the result from <code class="computeroutput"><span class="identifier">b</span></code>.
- When not provided does the equivalent of creating a temporary
- <code class="computeroutput"><span class="identifier">B</span> <span class="identifier">t</span></code>
- and <code class="computeroutput"><span class="identifier">eval_multiply</span><span class="special">(</span><span class="identifier">t</span><span class="special">,</span> <span class="identifier">cb</span><span class="special">,</span> <span class="identifier">cb2</span><span class="special">)</span></code> followed by <code class="computeroutput"><span class="identifier">eval_subtract</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">t</span><span class="special">)</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_multiply_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>
- Multiplies <code class="computeroutput"><span class="identifier">a</span></code> by
- <code class="computeroutput"><span class="identifier">cb</span></code> and subtracts
- the result 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>. When not provided
- does the equivalent of creating a temporary <code class="computeroutput"><span class="identifier">B</span>
- <span class="identifier">t</span></code> and <code class="computeroutput"><span class="identifier">eval_multiply</span><span class="special">(</span><span class="identifier">t</span><span class="special">,</span> <span class="identifier">cb</span><span class="special">,</span> <span class="identifier">a</span><span class="special">)</span></code> followed by <code class="computeroutput"><span class="identifier">eval_subtract</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">t</span><span class="special">)</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_multiply_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>
- Multiplies <code class="computeroutput"><span class="identifier">a</span></code> by
- <code class="computeroutput"><span class="identifier">cb</span></code> and subtracts
- the result 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>. When not provided
- does the equivalent of <code class="computeroutput"><span class="identifier">eval_multiply_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>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_multiply_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> <span class="identifier">cb3</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 adds the
- result to <code class="computeroutput"><span class="identifier">cb3</span></code> storing
- the result in <code class="computeroutput"><span class="identifier">b</span></code>.
- When not provided does the equivalent of <code class="computeroutput"><span class="identifier">eval_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> followed by <code class="computeroutput"><span class="identifier">eval_add</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">cb3</span><span class="special">)</span></code>. For brevity, only a version showing
- all arguments of type <code class="computeroutput"><span class="identifier">B</span></code>
- is shown here, but you can replace up to any 2 of <code class="computeroutput"><span class="identifier">cb</span></code>, <code class="computeroutput"><span class="identifier">cb2</span></code>
- and <code class="computeroutput"><span class="identifier">cb3</span></code> with any
- type 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>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_multiply_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> <span class="identifier">cb3</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 subtracts
- from the result <code class="computeroutput"><span class="identifier">cb3</span></code>
- storing the result in <code class="computeroutput"><span class="identifier">b</span></code>.
- When not provided does the equivalent of <code class="computeroutput"><span class="identifier">eval_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> followed by <code class="computeroutput"><span class="identifier">eval_subtract</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">cb3</span><span class="special">)</span></code>. For brevity, only a version showing
- all arguments of type <code class="computeroutput"><span class="identifier">B</span></code>
- is shown here, but you can replace up to any 2 of <code class="computeroutput"><span class="identifier">cb</span></code>, <code class="computeroutput"><span class="identifier">cb2</span></code>
- and <code class="computeroutput"><span class="identifier">cb3</span></code> with any
- type 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>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>. When not provided,
- the default version calls <code class="computeroutput"><span class="identifier">eval_divide</span><span class="special">(</span><span class="identifier">b</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="identifier">std</span><span class="special">::</span><span class="identifier">overflow_error</span></code> if <code class="computeroutput"><span class="identifier">a</span></code> has the value zero, and <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special"><</span><span class="identifier">number</span><span class="special"><</span><span class="identifier">B</span><span class="special">></span>
- <span class="special">>::</span><span class="identifier">has_infinity</span>
- <span class="special">==</span> <span class="keyword">false</span></code>
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>.
- When not provided, does the equivalent of <code class="computeroutput"><span class="identifier">b</span>
- <span class="special">=</span> <span class="identifier">cb</span><span class="special">;</span> <span class="identifier">eval_divide</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">cb2</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">overflow_error</span></code> if <code class="computeroutput"><span class="identifier">cb2</span></code> has the value zero, and
- <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special"><</span><span class="identifier">number</span><span class="special"><</span><span class="identifier">B</span><span class="special">></span>
- <span class="special">>::</span><span class="identifier">has_infinity</span>
- <span class="special">==</span> <span class="keyword">false</span></code>
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>. When not provided,
- does the equivalent of <code class="computeroutput"><span class="identifier">eval_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">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="identifier">std</span><span class="special">::</span><span class="identifier">overflow_error</span></code> if <code class="computeroutput"><span class="identifier">a</span></code> has the value zero, and <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special"><</span><span class="identifier">number</span><span class="special"><</span><span class="identifier">B</span><span class="special">></span>
- <span class="special">>::</span><span class="identifier">has_infinity</span>
- <span class="special">==</span> <span class="keyword">false</span></code>
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>. When not provided,
- does the equivalent of <code class="computeroutput"><span class="identifier">eval_divide</span><span class="special">(</span><span class="identifier">b</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="identifier">std</span><span class="special">::</span><span class="identifier">overflow_error</span></code> if cb has the
- value zero, and <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special"><</span><span class="identifier">number</span><span class="special"><</span><span class="identifier">B</span><span class="special">></span> <span class="special">>::</span><span class="identifier">has_infinity</span> <span class="special">==</span>
- <span class="keyword">false</span></code>
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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. When not provided, does the equivalent of <code class="computeroutput"><span class="identifier">eval_add</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
- <span class="keyword">static_cast</span><span class="special"><</span><span class="identifier">ui_type</span><span class="special">>(</span><span class="number">1u</span><span class="special">))</span></code>.
- Where <code class="computeroutput"><span class="identifier">ui_type</span></code> is
- <code class="computeroutput"><span class="keyword">typename</span> <span class="identifier">mpl</span><span class="special">::</span><span class="identifier">front</span><span class="special"><</span><span class="keyword">typename</span>
- <span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span><span class="special">>::</span><span class="identifier">type</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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. When not provided, does the equivalent of <code class="computeroutput"><span class="identifier">eval_subtract</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
- <span class="keyword">static_cast</span><span class="special"><</span><span class="identifier">ui_type</span><span class="special">>(</span><span class="number">1u</span><span class="special">))</span></code>.
- Where <code class="computeroutput"><span class="identifier">ui_type</span></code> is
- <code class="computeroutput"><span class="keyword">typename</span> <span class="identifier">mpl</span><span class="special">::</span><span class="identifier">front</span><span class="special"><</span><span class="keyword">typename</span>
- <span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span><span class="special">>::</span><span class="identifier">type</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <span class="emphasis"><em>Integer specific operations:</em></span>
- </p>
- </td>
- <td class="auto-generated"> </td>
- <td class="auto-generated"> </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>. When not provided,
- the default version calls <code class="computeroutput"><span class="identifier">eval_modulus</span><span class="special">(</span><span class="identifier">b</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="identifier">std</span><span class="special">::</span><span class="identifier">overflow_error</span></code> if <code class="computeroutput"><span class="identifier">a</span></code> has the value zero.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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. When not provided, does the equivalent of <code class="computeroutput"><span class="identifier">b</span>
- <span class="special">=</span> <span class="identifier">cb</span><span class="special">;</span> <span class="identifier">eval_modulus</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">cb2</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">overflow_error</span></code> if <code class="computeroutput"><span class="identifier">a</span></code> has the value zero.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>. When not provided,
- does the equivalent of <code class="computeroutput"><span class="identifier">eval_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">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="identifier">std</span><span class="special">::</span><span class="identifier">overflow_error</span></code> if <code class="computeroutput"><span class="identifier">a</span></code> has the value zero.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>. When not provided,
- does the equivalent of <code class="computeroutput"><span class="identifier">eval_modulus</span><span class="special">(</span><span class="identifier">b</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="identifier">std</span><span class="special">::</span><span class="identifier">overflow_error</span></code> if <code class="computeroutput"><span class="identifier">a</span></code> has the value zero.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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">&=</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>. When not provided,
- the default version calls <code class="computeroutput"><span class="identifier">eval_bitwise_and</span><span class="special">(</span><span class="identifier">b</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>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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">&</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. When not provided, does the equivalent of <code class="computeroutput"><span class="identifier">b</span>
- <span class="special">=</span> <span class="identifier">cb</span><span class="special">;</span> <span class="identifier">eval_bitwise_and</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">cb2</span><span class="special">)</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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">&</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>. When not provided,
- does the equivalent of <code class="computeroutput"><span class="identifier">eval_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">B</span><span class="special">(</span><span class="identifier">a</span><span class="special">))</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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">&</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>. When not provided,
- does the equivalent of <code class="computeroutput"><span class="identifier">eval_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>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>. When not provided,
- the default version calls <code class="computeroutput"><span class="identifier">eval_bitwise_or</span><span class="special">(</span><span class="identifier">b</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>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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. When not provided, does the equivalent of <code class="computeroutput"><span class="identifier">b</span>
- <span class="special">=</span> <span class="identifier">cb</span><span class="special">;</span> <span class="identifier">eval_bitwise_or</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">cb2</span><span class="special">)</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>. When not provided,
- does the equivalent of <code class="computeroutput"><span class="identifier">eval_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">B</span><span class="special">(</span><span class="identifier">a</span><span class="special">))</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>. When not provided,
- does the equivalent of <code class="computeroutput"><span class="identifier">eval_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>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>. When not provided,
- the default version calls <code class="computeroutput"><span class="identifier">eval_bitwise_xor</span><span class="special">(</span><span class="identifier">b</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>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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. When not provided, does the equivalent of <code class="computeroutput"><span class="identifier">b</span>
- <span class="special">=</span> <span class="identifier">cb</span><span class="special">;</span> <span class="identifier">eval_bitwise_xor</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">cb2</span><span class="special">)</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>. When not provided,
- does the equivalent of <code class="computeroutput"><span class="identifier">eval_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">B</span><span class="special">(</span><span class="identifier">a</span><span class="special">))</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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>. When not provided,
- does the equivalent of <code class="computeroutput"><span class="identifier">eval_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>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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"><<</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. When not provided, does the equivalent of <code class="computeroutput"><span class="identifier">b</span>
- <span class="special">=</span> <span class="identifier">cb</span><span class="special">;</span> <span class="identifier">eval_left_shift</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>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_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">>></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. When not provided, does the equivalent of <code class="computeroutput"><span class="identifier">b</span>
- <span class="special">=</span> <span class="identifier">cb</span><span class="special">;</span> <span class="identifier">eval_right_shift</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>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_qr</span><span class="special">(</span><span class="identifier">cb</span><span class="special">,</span>
- <span class="identifier">cb2</span><span class="special">,</span>
- <span class="identifier">b</span><span class="special">,</span>
- <span class="identifier">b2</span><span class="special">)</span></code>
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="keyword">void</span></code>
- </p>
- </td>
- <td>
- <p>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the result
- of <code class="computeroutput"><span class="identifier">cb</span> <span class="special">/</span>
- <span class="identifier">cb2</span></code> and <code class="computeroutput"><span class="identifier">b2</span></code> to the result of <code class="computeroutput"><span class="identifier">cb</span> <span class="special">%</span>
- <span class="identifier">cb2</span></code>. Only required when
- <code class="computeroutput"><span class="identifier">B</span></code> is an integer
- type. The default version of this function is synthesised from
- other operations above.
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">overflow_error</span></code> if <code class="computeroutput"><span class="identifier">a</span></code> has the value zero.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_integer_modulus</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">unsigned</span></code>
- </p>
- </td>
- <td>
- <p>
- Returns the result of <code class="computeroutput"><span class="identifier">cb</span>
- <span class="special">%</span> <span class="identifier">ui</span></code>.
- Only required when <code class="computeroutput"><span class="identifier">B</span></code>
- is an integer type. The default version of this function is synthesised
- from other operations above.
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">overflow_error</span></code> if <code class="computeroutput"><span class="identifier">a</span></code> has the value zero.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_lsb</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">unsigned</span></code>
- </p>
- </td>
- <td>
- <p>
- Returns the index of the least significant bit that is set. Only
- required when <code class="computeroutput"><span class="identifier">B</span></code>
- is an integer type. The default version of this function is synthesised
- from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_msb</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">unsigned</span></code>
- </p>
- </td>
- <td>
- <p>
- Returns the index of the most significant bit that is set. Only
- required when <code class="computeroutput"><span class="identifier">B</span></code>
- is an integer type. The default version of this function is synthesised
- from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_bit_test</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">bool</span></code>
- </p>
- </td>
- <td>
- <p>
- Returns true if <code class="computeroutput"><span class="identifier">cb</span></code>
- has bit <code class="computeroutput"><span class="identifier">ui</span></code> set.
- Only required when <code class="computeroutput"><span class="identifier">B</span></code>
- is an integer type. The default version of this function is synthesised
- from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_bit_set</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>
- Sets the bit at index <code class="computeroutput"><span class="identifier">ui</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 an integer
- type. The default version of this function is synthesised from
- other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_bit_unset</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>
- Unsets the bit at index <code class="computeroutput"><span class="identifier">ui</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 an integer
- type. The default version of this function is synthesised from
- other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_bit_flip</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>
- Flips the bit at index <code class="computeroutput"><span class="identifier">ui</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 an integer
- type. The default version of this function is synthesised from
- other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_gcd</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>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the greatest
- common divisor of <code class="computeroutput"><span class="identifier">cb</span></code>
- and <code class="computeroutput"><span class="identifier">cb2</span></code>. Only required
- when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
- type. The default version of this function is synthesised from
- other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_lcm</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>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the least
- common multiple of <code class="computeroutput"><span class="identifier">cb</span></code>
- and <code class="computeroutput"><span class="identifier">cb2</span></code>. Only required
- when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
- type. The default version of this function is synthesised from
- other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_gcd</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>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the greatest
- common divisor of <code class="computeroutput"><span class="identifier">cb</span></code>
- and <code class="computeroutput"><span class="identifier">cb2</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>. The default version
- of this function calls <code class="computeroutput"><span class="identifier">eval_gcd</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">B</span><span class="special">(</span><span class="identifier">a</span><span class="special">))</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_lcm</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>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the least
- common multiple of <code class="computeroutput"><span class="identifier">cb</span></code>
- and <code class="computeroutput"><span class="identifier">cb2</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>. The default version
- of this function calls <code class="computeroutput"><span class="identifier">eval_lcm</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">B</span><span class="special">(</span><span class="identifier">a</span><span class="special">))</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_gcd</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>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the greatest
- common divisor of <code class="computeroutput"><span class="identifier">cb</span></code>
- and <code class="computeroutput"><span class="identifier">a</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>. The default version
- of this function calls <code class="computeroutput"><span class="identifier">eval_gcd</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>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_lcm</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>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the least
- common multiple of <code class="computeroutput"><span class="identifier">cb</span></code>
- and <code class="computeroutput"><span class="identifier">a</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>. The default version
- of this function calls <code class="computeroutput"><span class="identifier">eval_lcm</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>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_powm</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>
- <span class="identifier">cb3</span><span class="special">)</span></code>
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="keyword">void</span></code>
- </p>
- </td>
- <td>
- <p>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the result
- of <span class="emphasis"><em>(cb^cb2)%cb3</em></span>. The default version of this
- function is synthesised from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_powm</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>
- <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>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the result
- of <span class="emphasis"><em>(cb^cb2)%a</em></span>. 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>. The default version
- of this function is synthesised from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_powm</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>
- <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>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the result
- of <span class="emphasis"><em>(cb^a)%cb2</em></span>. 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>. The default version
- of this function is synthesised from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_powm</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>
- <span class="identifier">a2</span><span class="special">)</span></code>
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="keyword">void</span></code>
- </p>
- </td>
- <td>
- <p>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the result
- of <span class="emphasis"><em>(cb^a)%a2</em></span>. 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>. The default version
- of this function is synthesised from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_integer_sqrt</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">b2</span><span class="special">)</span></code>
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="keyword">void</span></code>
- </p>
- </td>
- <td>
- <p>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the largest
- integer which when squared is less than <code class="computeroutput"><span class="identifier">cb</span></code>,
- also sets <code class="computeroutput"><span class="identifier">b2</span></code> to
- the remainder, ie to <span class="emphasis"><em>cb - b<sup>2</sup></em></span>. The default
- version of this function is synthesised from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <span class="emphasis"><em>Sign manipulation:</em></span>
- </p>
- </td>
- <td class="auto-generated"> </td>
- <td class="auto-generated"> </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>. The
- default version of this functions assigns <code class="computeroutput"><span class="identifier">cb</span></code>
- to <code class="computeroutput"><span class="identifier">b</span></code>, and then
- calls <code class="computeroutput"><span class="identifier">b</span><span class="special">.</span><span class="identifier">negate</span><span class="special">()</span></code>
- if <code class="computeroutput"><span class="identifier">eval_get_sign</span><span class="special">(</span><span class="identifier">cb</span><span class="special">)</span> <span class="special"><</span>
- <span class="number">0</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </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>. The
- default version of this functions assigns <code class="computeroutput"><span class="identifier">cb</span></code>
- to <code class="computeroutput"><span class="identifier">b</span></code>, and then
- calls <code class="computeroutput"><span class="identifier">b</span><span class="special">.</span><span class="identifier">negate</span><span class="special">()</span></code>
- if <code class="computeroutput"><span class="identifier">eval_get_sign</span><span class="special">(</span><span class="identifier">cb</span><span class="special">)</span> <span class="special"><</span>
- <span class="number">0</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <span class="emphasis"><em>floating-point functions:</em></span>
- </p>
- </td>
- <td class="auto-generated"> </td>
- <td class="auto-generated"> </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. The default version of this function
- will only test for zero <code class="computeroutput"><span class="identifier">cb</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </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. The default version of this function
- is synthesised from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </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></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. The default version of this function
- is synthesised from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </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. The default version of this function
- is synthesised from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_exp2</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">exp2</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. The default version of this function
- is implemented in terms of <code class="computeroutput"><span class="identifier">eval_pow</span></code>.
- </p>
- </td>
- <td>
- <p>
-  
- </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. The default version of this function
- is synthesised from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </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. The default version of this function
- is synthesised from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </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. The default version of this function
- is synthesised from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </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. The default version of this function
- is synthesised from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </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. The default version of this function
- is synthesised from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </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. The default version of this function
- is synthesised from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </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. The default version of this function
- is synthesised from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </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. The default version of this function
- is synthesised from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </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. The default version of this function
- is synthesised from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </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. The default version of this function
- is synthesised from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </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. The default version of this function
- is synthesised from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </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. The default version of this function
- is synthesised from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_modf</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">pb</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">modf</span></code>
- on argument <code class="computeroutput"><span class="identifier">cb</span></code>,
- and store the integer result in <code class="computeroutput"><span class="special">*</span><span class="identifier">pb</span></code> and the fractional part 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. The default version of this function is synthesised from
- other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </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. The default version of this function
- is synthesised from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </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. The default version of this function
- is synthesised from other operations above.
- </p>
- </td>
- <td>
- <p>
-  
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_scalbn</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">e</span><span class="special">)</span></code>
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="keyword">void</span></code>
- </p>
- </td>
- <td>
- <p>
- Scales value <code class="computeroutput"><span class="identifier">cb</span></code>
- by <span class="emphasis"><em>r<sup>e</sup></em></span>, where <span class="emphasis"><em>r</em></span> is the
- radix of the type. The default version of this function is implemented
- in terms of eval_ldexp, consequently this function must be provided
- for types with a radix other than 2.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_scalbln</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">e</span><span class="special">)</span></code>
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="keyword">void</span></code>
- </p>
- </td>
- <td>
- <p>
- Calls <code class="computeroutput"><span class="identifier">eval_scalbn</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">e</span><span class="special">)</span></code>.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_ilogb</span><span class="special">(</span><span class="identifier">cb</span><span class="special">)</span></code>
- </p>
- </td>
- <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>
- Returns the exponent <span class="emphasis"><em>e</em></span> of value <code class="computeroutput"><span class="identifier">cb</span></code> such that <span class="emphasis"><em>1 <=
- cb*r<sup>-e</sup> < r</em></span>, where <span class="emphasis"><em>r</em></span> is the radix
- of type B. The default version of this function is implemented
- in terms of eval_frexp, consequently this function must be provided
- for types with a radix other than 2.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_remquo</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>
- <span class="identifier">pi</span><span class="special">)</span></code>
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="keyword">void</span></code>
- </p>
- </td>
- <td>
- <p>
- Sets <code class="computeroutput"><span class="identifier">b</span> <span class="special">=</span>
- <span class="identifier">cb</span> <span class="special">-</span>
- <span class="identifier">n</span> <span class="special">*</span>
- <span class="identifier">cb2</span></code> and stores <code class="computeroutput"><span class="identifier">n</span></code> in <code class="computeroutput"><span class="special">*</span><span class="identifier">pi</span></code>.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_remquo</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>
- <span class="identifier">pi</span><span class="special">)</span></code>
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="keyword">void</span></code>
- </p>
- </td>
- <td>
- <p>
- Default version converts a to type B and calls the overload above.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_remquo</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>
- <span class="identifier">pi</span><span class="special">)</span></code>
- </p>
- </td>
- <td>
- <p>
- <code class="computeroutput"><span class="keyword">void</span></code>
- </p>
- </td>
- <td>
- <p>
- Default version converts a to type B and calls the overload above.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_remainder</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>
- Default version calls eval_remquo with a dummy final argument.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_remainder</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>
- Default version calls eval_remquo with a dummy final argument.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_remainder</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>
- Default version calls eval_remquo with a dummy final argument.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_fdim</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>
- Default version sets <code class="computeroutput"><span class="identifier">b</span>
- <span class="special">=</span> <span class="identifier">cb</span>
- <span class="special">-</span> <span class="identifier">cb2</span></code>
- if <code class="computeroutput"><span class="identifier">cb</span> <span class="special">></span>
- <span class="identifier">cb2</span></code> and zero otherwise.
- Special cases are handled as in the C99 annex.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_fdim</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>
- Default version sets <code class="computeroutput"><span class="identifier">b</span>
- <span class="special">=</span> <span class="identifier">cb</span>
- <span class="special">-</span> <span class="identifier">cb2</span></code>
- if <code class="computeroutput"><span class="identifier">cb</span> <span class="special">></span>
- <span class="identifier">cb2</span></code> and zero otherwise.
- Special cases are handled as in the C99 annex.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_fdim</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>
- Default version sets <code class="computeroutput"><span class="identifier">b</span>
- <span class="special">=</span> <span class="identifier">cb</span>
- <span class="special">-</span> <span class="identifier">cb2</span></code>
- if <code class="computeroutput"><span class="identifier">cb</span> <span class="special">></span>
- <span class="identifier">cb2</span></code> and zero otherwise.
- Special cases are handled as in the C99 annex.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_fmax</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>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the larger
- of <code class="computeroutput"><span class="identifier">cb</span></code> and <code class="computeroutput"><span class="identifier">cb2</span></code>.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_fmax</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>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the larger
- of <code class="computeroutput"><span class="identifier">cb</span></code> and <code class="computeroutput"><span class="identifier">a</span></code>.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_fmax</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>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the larger
- of <code class="computeroutput"><span class="identifier">cb</span></code> and <code class="computeroutput"><span class="identifier">a</span></code>.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_fmin</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>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the smaller
- of <code class="computeroutput"><span class="identifier">cb</span></code> and <code class="computeroutput"><span class="identifier">cb2</span></code>.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_fmin</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>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the smaller
- of <code class="computeroutput"><span class="identifier">cb</span></code> and <code class="computeroutput"><span class="identifier">a</span></code>.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_fmin</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>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the smaller
- of <code class="computeroutput"><span class="identifier">cb</span></code> and <code class="computeroutput"><span class="identifier">a</span></code>.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_hypot</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>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the square
- root of the sum of the squares of <code class="computeroutput"><span class="identifier">cb</span></code>
- and <code class="computeroutput"><span class="identifier">cb2</span></code> without
- undue over or under flow.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_hypot</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>
- As above.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_hypot</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>
- As above.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_logb</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="identifier">B</span><span class="special">::</span><span class="identifier">exponent_type</span></code>
- </p>
- </td>
- <td>
- <p>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the exponent
- <span class="emphasis"><em>e</em></span> of value <code class="computeroutput"><span class="identifier">cb</span></code>
- such that <span class="emphasis"><em>1 <= cb*r<sup>-b</sup> < r</em></span>, where <span class="emphasis"><em>r</em></span>
- is the radix of type B. The default version of this function is
- implemented in terms of <code class="computeroutput"><span class="identifier">eval_ilogb</span></code>.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_nearbyint</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>
- Calls <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></code>.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_rint</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>
- Calls <code class="computeroutput"><span class="identifier">eval_nearbyint</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>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">eval_log2</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>
- Sets <code class="computeroutput"><span class="identifier">b</span></code> to the logarithm
- base 2 of <code class="computeroutput"><span class="identifier">cb</span></code>.
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- <span class="emphasis"><em>hashing:</em></span>
- </p>
- </td>
- <td class="auto-generated"> </td>
- <td class="auto-generated"> </td>
- </tr>
- <tr>
- <td>
- <p>
- <code class="computeroutput"><span class="identifier">hash_value</span><span class="special">(</span><span class="identifier">cb</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">size_t</span></code>
- </p>
- </td>
- <td>
- <p>
- Returns a hash value for the argument that is suitable for use
- with <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">hash</span></code> etc. If not provided then
- no automatic hashing support will be available for the number type.
- </p>
- </td>
- </tr>
- </tbody>
- </table></div>
- </div>
- <br class="table-break"><p>
- When the tables above place no <span class="emphasis"><em>throws</em></span> requirements on
- an operation, then it is up to each type modelling this concept to decide
- when or whether throwing an exception is desirable. However, thrown exceptions
- should always either be the type, or inherit from the type <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">runtime_error</span></code>.
- For example, a floating-point type might choose to throw <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">overflow_error</span></code>
- whenever the result of an operation would be infinite, and <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">underflow_error</span></code>
- whenever it would round to zero.
- </p>
- <div class="note"><table border="0" summary="Note">
- <tr>
- <td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../../../doc/src/images/note.png"></td>
- <th align="left">Note</th>
- </tr>
- <tr><td align="left" valign="top"><p>
- The non-member functions are all named with an "eval_" prefix
- to avoid conflicts with template classes of the same name - in point of
- fact this naming convention shouldn't be necessary, but rather works around
- some compiler bugs.
- </p></td></tr>
- </table></div>
- <h5>
- <a name="boost_multiprecision.ref.backendconc.h0"></a>
- <span class="phrase"><a name="boost_multiprecision.ref.backendconc.overloadable_functions"></a></span><a class="link" href="backendconc.html#boost_multiprecision.ref.backendconc.overloadable_functions">Overloadable
- Functions</a>
- </h5>
- <p>
- Some of the C99 math functions do not have <code class="computeroutput"><span class="identifier">eval_</span></code>
- functions but must be overloaded directly: these functions are either trivial
- or are forwarded to the Boost.Math implementations by default. The full list
- of these functions is:
- </p>
- <pre class="programlisting"><span class="keyword">int</span> <span class="identifier">sign</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>number-or-expression-template-type</em></span><span class="special">&);</span>
- <span class="keyword">int</span> <span class="identifier">signbit</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>number-or-expression-template-type</em></span><span class="special">&);</span>
- <span class="emphasis"><em>number</em></span> <span class="identifier">changesign</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>number-or-expression-template-type</em></span><span class="special">&);</span>
- <span class="emphasis"><em>number</em></span> <span class="identifier">copysign</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>number-or-expression-template-type</em></span><span class="special">&,</span> <span class="keyword">const</span> <span class="emphasis"><em>number-or-expression-template-type</em></span><span class="special">&);</span>
- <span class="emphasis"><em>number</em></span> <span class="identifier">asinh</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>number-or-expression-template-type</em></span><span class="special">&);</span>
- <span class="emphasis"><em>number</em></span> <span class="identifier">acosh</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>number-or-expression-template-type</em></span><span class="special">&);</span>
- <span class="emphasis"><em>number</em></span> <span class="identifier">atanh</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>number-or-expression-template-type</em></span><span class="special">&);</span>
- <span class="emphasis"><em>number</em></span> <span class="identifier">cbrt</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>number-or-expression-template-type</em></span><span class="special">&);</span>
- <span class="emphasis"><em>number</em></span> <span class="identifier">erf</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>number-or-expression-template-type</em></span><span class="special">&);</span>
- <span class="emphasis"><em>number</em></span> <span class="identifier">erfc</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>number-or-expression-template-type</em></span><span class="special">&);</span>
- <span class="emphasis"><em>number</em></span> <span class="identifier">expm1</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>number-or-expression-template-type</em></span><span class="special">&);</span>
- <span class="emphasis"><em>number</em></span> <span class="identifier">log1p</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>number-or-expression-template-type</em></span><span class="special">&);</span>
- <span class="emphasis"><em>number</em></span> <span class="identifier">tgamma</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>number-or-expression-template-type</em></span><span class="special">&);</span>
- <span class="emphasis"><em>number</em></span> <span class="identifier">lgamma</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>number-or-expression-template-type</em></span><span class="special">&);</span>
- <span class="keyword">long</span> <span class="identifier">lrint</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>number-or-expression-template-type</em></span><span class="special">&);</span>
- <span class="keyword">long</span> <span class="keyword">long</span> <span class="identifier">llrint</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>number-or-expression-template-type</em></span><span class="special">&);</span>
- <span class="emphasis"><em>number</em></span> <span class="identifier">nextafter</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>number-or-expression-template-type</em></span><span class="special">&,</span> <span class="keyword">const</span> <span class="emphasis"><em>number-or-expression-template-type</em></span><span class="special">&);</span>
- <span class="emphasis"><em>number</em></span> <span class="identifier">nexttoward</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>number-or-expression-template-type</em></span><span class="special">&,</span> <span class="keyword">const</span> <span class="emphasis"><em>number-or-expression-template-type</em></span><span class="special">&);</span>
- </pre>
- </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 © 2002-2019 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>
- <hr>
- <div class="spirit-nav">
- <a accesskey="p" href="internals.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../ref.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="headers.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a>
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