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<div class="titlepage"><div><div><h5 class="title">
<a name="spirit.karma.reference.numeric.real_number"></a><a class="link" href="real_number.html" title="Real Number Generators (float_, double_, etc.)"> Real
          Number Generators (<code class="computeroutput"><span class="identifier">float_</span></code>,
          <code class="computeroutput"><span class="identifier">double_</span></code>, etc.)</a>
</h5></div></div></div>
<a name="spirit.karma.reference.numeric.real_number.description"></a><h6>
<a name="id1115538"></a>
            <a class="link" href="real_number.html#spirit.karma.reference.numeric.real_number.description">Description</a>
          </h6>
<p>
            The <code class="computeroutput"><span class="identifier">real_generator</span></code> can
            generate real numbers of arbitrary length and size limited by its template
            parameter, <code class="computeroutput"><span class="identifier">Num</span></code>. The numeric
            base type <code class="computeroutput"><span class="identifier">Num</span></code> can be
            a user defined numeric type such as fixed_point (fixed point reals) and
            bignum (unlimited precision numbers) if the type follows certain expression
            requirements (for more information about the requirements, see <a class="link" href="real_number.html#spirit.karma.reference.numeric.real_number.additional_requirements">below</a>).
          </p>
<a name="spirit.karma.reference.numeric.real_number.header"></a><h6>
<a name="id1115581"></a>
            <a class="link" href="real_number.html#spirit.karma.reference.numeric.real_number.header">Header</a>
          </h6>
<pre class="programlisting"><span class="comment">// forwards to &lt;boost/spirit/home/karma/numeric/real.hpp&gt;
</span><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">spirit</span><span class="special">/</span><span class="identifier">include</span><span class="special">/</span><span class="identifier">karma_real</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
</pre>
<p>
            Also, see <a class="link" href="../../../structure/include.html" title="Include">Include Structure</a>.
          </p>
<a name="spirit.karma.reference.numeric.real_number.namespace"></a><h6>
<a name="id1115655"></a>
            <a class="link" href="real_number.html#spirit.karma.reference.numeric.real_number.namespace">Namespace</a>
          </h6>
<div class="informaltable"><table class="table">
<colgroup><col></colgroup>
<thead><tr><th>
                    <p>
                      Name
                    </p>
                  </th></tr></thead>
<tbody>
<tr><td>
                    <p>
                      <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">spirit</span><span class="special">::</span><span class="identifier">lit</span> <span class="comment">// alias:
                      boost::spirit::karma::lit</span></code>
                    </p>
                  </td></tr>
<tr><td>
                    <p>
                      <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">spirit</span><span class="special">::</span><span class="identifier">float_</span> <span class="comment">//
                      alias: boost::spirit::karma::float_</span></code>
                    </p>
                  </td></tr>
<tr><td>
                    <p>
                      <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">spirit</span><span class="special">::</span><span class="identifier">double_</span> <span class="comment">//
                      alias: boost::spirit::karma::double_</span></code>
                    </p>
                  </td></tr>
<tr><td>
                    <p>
                      <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">spirit</span><span class="special">::</span><span class="identifier">long_double</span> <span class="comment">//
                      alias: boost::spirit::karma::long_double</span></code>
                    </p>
                  </td></tr>
</tbody>
</table></div>
<div class="note"><table border="0" summary="Note">
<tr>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../images/note.png"></td>
<th align="left">Note</th>
</tr>
<tr><td align="left" valign="top"><p>
              <code class="computeroutput"><span class="identifier">lit</span></code> is reused by the
              <a class="link" href="../string.html" title="String">String Generators</a>,
              the <a class="link" href="../char.html" title="Char">Character Generators</a>,
              and the Numeric Generators. In general, a char generator is created
              when you pass in a character, a string generator is created when you
              pass in a string, and a numeric generator is created when you use a
              numeric literal.
            </p></td></tr>
</table></div>
<a name="spirit.karma.reference.numeric.real_number.synopsis"></a><h6>
<a name="id1115872"></a>
            <a class="link" href="real_number.html#spirit.karma.reference.numeric.real_number.synopsis">Synopsis</a>
          </h6>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">Num</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">RealPolicies</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">real_generator</span><span class="special">;</span>
</pre>
<a name="spirit.karma.reference.numeric.real_number.template_parameters"></a><h6>
<a name="id1115940"></a>
            <a class="link" href="real_number.html#spirit.karma.reference.numeric.real_number.template_parameters">Template
            parameters</a>
          </h6>
<div class="informaltable"><table class="table">
<colgroup>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                    <p>
                      Parameter
                    </p>
                  </th>
<th>
                    <p>
                      Description
                    </p>
                  </th>
<th>
                    <p>
                      Default
                    </p>
                  </th>
</tr></thead>
<tbody>
<tr>
<td>
                    <p>
                      <code class="computeroutput"><span class="identifier">Num</span></code>
                    </p>
                  </td>
<td>
                    <p>
                      The type of the real number to generate.
                    </p>
                  </td>
<td>
                    <p>
                      <code class="computeroutput"><span class="keyword">double</span></code>
                    </p>
                  </td>
</tr>
<tr>
<td>
                    <p>
                      <code class="computeroutput"><span class="identifier">RealPolicies</span></code>
                    </p>
                  </td>
<td>
                    <p>
                      The policies to use while converting the real number.
                    </p>
                  </td>
<td>
                    <p>
                      <code class="computeroutput"><span class="identifier">real_policies</span><span class="special">&lt;</span><span class="identifier">Num</span><span class="special">&gt;</span></code>
                    </p>
                  </td>
</tr>
</tbody>
</table></div>
<p>
            For more information about the type <code class="computeroutput"><span class="identifier">RealPolicies</span></code>
            see <a class="link" href="real_number.html#spirit.karma.reference.numeric.real_number.real_number_formatting_policies">below</a>.
          </p>
<a name="spirit.karma.reference.numeric.real_number.model_of"></a><h6>
<a name="id1116103"></a>
            <a class="link" href="real_number.html#spirit.karma.reference.numeric.real_number.model_of">Model
            of</a>
          </h6>
<div class="blockquote"><blockquote class="blockquote"><p>
              <a class="link" href="../generator_concepts/primitivegenerator.html" title="PrimitiveGenerator"><code class="computeroutput"><span class="identifier">PrimitiveGenerator</span></code></a>
            </p></blockquote></div>
<div class="variablelist">
<p class="title"><b>Notation</b></p>
<dl>
<dt><span class="term"><code class="computeroutput"><span class="identifier">num</span></code></span></dt>
<dd><p>
                  Numeric literal, any real number value, or a <a class="link" href="../karma_basics.html#spirit.karma.reference.karma_basics.lazy_argument">Lazy
                  Argument</a> that evaluates to a real number value of type
                  <code class="computeroutput"><span class="identifier">Num</span></code>
                </p></dd>
<dt><span class="term"><code class="computeroutput"><span class="identifier">Num</span></code></span></dt>
<dd><p>
                  Type of <code class="computeroutput"><span class="identifier">num</span></code>: any
                  real number type
                </p></dd>
</dl>
</div>
<a name="spirit.karma.reference.numeric.real_number.expression_semantics"></a><h6>
<a name="id1116204"></a>
            <a class="link" href="real_number.html#spirit.karma.reference.numeric.real_number.expression_semantics">Expression
            Semantics</a>
          </h6>
<p>
            Semantics of an expression is defined only where it differs from, or
            is not defined in <a class="link" href="../generator_concepts/primitivegenerator.html" title="PrimitiveGenerator"><code class="computeroutput"><span class="identifier">PrimitiveGenerator</span></code></a>.
          </p>
<div class="informaltable"><table class="table">
<colgroup>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                    <p>
                      Expression
                    </p>
                  </th>
<th>
                    <p>
                      Semantics
                    </p>
                  </th>
</tr></thead>
<tbody>
<tr>
<td>
                    <p>
                      <code class="computeroutput"><span class="identifier">lit</span><span class="special">(</span><span class="identifier">num</span><span class="special">)</span></code>
                    </p>
                  </td>
<td>
                    <p>
                      Generate the real number literal <code class="computeroutput"><span class="identifier">num</span></code>
                      using the default formatting (no trailing zeros, <code class="computeroutput"><span class="identifier">fixed</span></code> representation for
                      numbers <code class="computeroutput"><span class="identifier">fabs</span><span class="special">(</span><span class="identifier">n</span><span class="special">)</span> <span class="special">&lt;=</span>
                      <span class="number">1e5</span> <span class="special">&amp;&amp;</span>
                      <span class="identifier">fabs</span><span class="special">(</span><span class="identifier">n</span><span class="special">)</span>
                      <span class="special">&gt;</span> <span class="number">1e-3</span></code>,
                      scientific representation otherwise, 3 fractional digits, sign
                      is only printed for negative literals). This generator never
                      fails (unless the underlying output stream reports an error).
                    </p>
                  </td>
</tr>
<tr>
<td>
                    <p>
                      
</p>
<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">float_</span>
<span class="identifier">double_</span>
<span class="identifier">long_double</span></pre>
<p>
                    </p>
                  </td>
<td>
                    <p>
                      Generate the real number provided by a mandatory attribute
                      using the default formatting (no trailing zeros, <code class="computeroutput"><span class="identifier">fixed</span></code> representation for
                      numbers <code class="computeroutput"><span class="identifier">fabs</span><span class="special">(</span><span class="identifier">n</span><span class="special">)</span> <span class="special">&lt;=</span>
                      <span class="number">1e5</span> <span class="special">&amp;&amp;</span>
                      <span class="identifier">fabs</span><span class="special">(</span><span class="identifier">n</span><span class="special">)</span>
                      <span class="special">&gt;</span> <span class="number">1e-3</span></code>,
                      scientific representation otherwise, 3 fractional digits, sign
                      is only printed for negative literals). This generator never
                      fails (unless the underlying output stream reports an error).
                    </p>
                  </td>
</tr>
<tr>
<td>
                    <p>
                      
</p>
<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">float_</span><span class="special">(</span><span class="identifier">num</span><span class="special">)</span>
<span class="identifier">double_</span><span class="special">(</span><span class="identifier">num</span><span class="special">)</span>
<span class="identifier">long_double</span><span class="special">(</span><span class="identifier">num</span><span class="special">)</span></pre>
<p>
                    </p>
                  </td>
<td>
                    <p>
                      Generate the real point number provided by the immediate literal
                      value the generator is initialized from using the default formatting
                      (no trailing zeros, <code class="computeroutput"><span class="identifier">fixed</span></code>
                      representation for numbers <code class="computeroutput"><span class="identifier">fabs</span><span class="special">(</span><span class="identifier">n</span><span class="special">)</span> <span class="special">&lt;=</span>
                      <span class="number">1e5</span> <span class="special">&amp;&amp;</span>
                      <span class="identifier">fabs</span><span class="special">(</span><span class="identifier">n</span><span class="special">)</span>
                      <span class="special">&gt;</span> <span class="number">1e-3</span></code>,
                      scientific representation otherwise, 3 fractional digits, sign
                      is only printed for negative literals). If this generator has
                      an associated attribute it succeeds only if the attribute is
                      equal to the immediate literal (unless the underlying output
                      stream reports an error). Otherwise this generator fails and
                      does not generate any output.
                    </p>
                  </td>
</tr>
</tbody>
</table></div>
<p>
            All generators listed in the table above (except <code class="computeroutput"><span class="identifier">lit</span><span class="special">(</span><span class="identifier">num</span><span class="special">)</span></code>) are predefined specializations of the
            <code class="computeroutput"><span class="identifier">real_generator</span><span class="special">&lt;</span><span class="identifier">Num</span><span class="special">,</span> <span class="identifier">RealPolicies</span><span class="special">&gt;</span></code>
            basic real number generator type described below. It is possible to directly
            use this type to create real number generators using a wide range of
            formatting options.
          </p>
<div class="informaltable"><table class="table">
<colgroup>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                    <p>
                      Expression
                    </p>
                  </th>
<th>
                    <p>
                      Semantics
                    </p>
                  </th>
</tr></thead>
<tbody>
<tr>
<td>
                    <p>
                      
</p>
<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">real_generator</span><span class="special">&lt;</span>
    <span class="identifier">Num</span><span class="special">,</span> <span class="identifier">RealPolicies</span>
<span class="special">&gt;()</span></pre>
<p>
                    </p>
                  </td>
<td>
                    <p>
                      Generate the real number of type <code class="computeroutput"><span class="identifier">Num</span></code>
                      provided by a mandatory attribute using the specified <code class="computeroutput"><span class="identifier">RealPolicies</span></code>. This generator
                      never fails (unless the underlying output stream reports an
                      error).
                    </p>
                  </td>
</tr>
<tr>
<td>
                    <p>
                      
</p>
<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">real_generator</span><span class="special">&lt;</span>
    <span class="identifier">Num</span><span class="special">,</span> <span class="identifier">RealPolicies</span>
<span class="special">&gt;()(</span><span class="identifier">num</span><span class="special">)</span></pre>
<p>
                    </p>
                  </td>
<td>
                    <p>
                      Generate the real number of type <code class="computeroutput"><span class="identifier">Num</span></code>
                      provided by the immediate literal value the generator is initialized
                      from using the specified <code class="computeroutput"><span class="identifier">RealPolicies</span></code>.
                      If this generator has an associated attribute it succeeds only
                      if the attribute is equal to the immediate literal (unless
                      the underlying output stream reports an error). Otherwise this
                      generator fails and does not generate any output.
                    </p>
                  </td>
</tr>
</tbody>
</table></div>
<a name="spirit.karma.reference.numeric.real_number.additional_requirements"></a><h6>
<a name="id1116826"></a>
            <a class="link" href="real_number.html#spirit.karma.reference.numeric.real_number.additional_requirements">Additional
            Requirements</a>
          </h6>
<p>
            The following list enumerates the requirements which must be met in order
            to use a certain type <code class="computeroutput"><span class="identifier">Num</span></code>
            to instantiate a <code class="computeroutput"><span class="identifier">real_generator</span><span class="special">&lt;</span><span class="identifier">Num</span><span class="special">,</span> <span class="identifier">Policies</span><span class="special">&gt;</span></code>.
          </p>
<p>
            In order to be usable as the first template parameter for <code class="computeroutput"><span class="identifier">real_generator</span><span class="special">&lt;&gt;</span></code>
            the type <code class="computeroutput"><span class="identifier">Num</span></code> must have
            defined:
          </p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
                comparison operators for: <code class="computeroutput"><span class="special">&lt;</span></code>,
                <code class="computeroutput"><span class="special">&lt;=</span></code>, <code class="computeroutput"><span class="special">==</span></code>, <code class="computeroutput"><span class="special">!=</span></code>,
                <code class="computeroutput"><span class="special">&gt;</span></code>, and <code class="computeroutput"><span class="special">&gt;=</span></code>
              </li>
<li class="listitem">
                numeric operators for: <code class="computeroutput"><span class="special">+</span></code>,
                <code class="computeroutput"><span class="special">-</span></code>, <code class="computeroutput"><span class="special">/</span></code>,
                <code class="computeroutput"><span class="special">*</span></code>, and <code class="computeroutput"><span class="special">%</span></code>
              </li>
<li class="listitem">
                functions implementing the interface and the semantics of: <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">fmod</span></code>, <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">pow</span></code>,
                <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">log10</span></code>, <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">lround</span></code>,
                <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">ltrunc</span></code>, <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">modf</span></code>,
                <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">floor</span></code>, and <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">ceil</span></code>.
                These need to be defined in a way so that they will be found using
                argument dependent lookup (ADL).
              </li>
<li class="listitem">
                a valid specialization of the type <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">Num</span><span class="special">&gt;</span></code> allowing for numeric property
                inspection.
              </li>
</ul></div>
<a name="spirit.karma.reference.numeric.real_number.attributes"></a><h6>
<a name="id1117150"></a>
            <a class="link" href="real_number.html#spirit.karma.reference.numeric.real_number.attributes">Attributes</a>
          </h6>
<div class="informaltable"><table class="table">
<colgroup>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                    <p>
                      Expression
                    </p>
                  </th>
<th>
                    <p>
                      Attribute
                    </p>
                  </th>
</tr></thead>
<tbody>
<tr>
<td>
                    <p>
                      <code class="computeroutput"><span class="identifier">lit</span><span class="special">(</span><span class="identifier">num</span><span class="special">)</span></code>
                    </p>
                  </td>
<td>
                    <p>
                      <code class="computeroutput"><span class="identifier">unused</span></code>
                    </p>
                  </td>
</tr>
<tr>
<td>
                    <p>
                      <code class="computeroutput"><span class="identifier">float_</span></code>
                    </p>
                  </td>
<td>
                    <p>
                      <code class="computeroutput"><span class="keyword">float</span></code>, attribute
                      is mandatory (otherwise compilation will fail)
                    </p>
                  </td>
</tr>
<tr>
<td>
                    <p>
                      <code class="computeroutput"><span class="identifier">float_</span><span class="special">(</span><span class="identifier">num</span><span class="special">)</span></code>
                    </p>
                  </td>
<td>
                    <p>
                      <code class="computeroutput"><span class="identifier">float_</span></code>, attribute
                      is optional, if it is supplied, the generator compares the
                      attribute with <code class="computeroutput"><span class="identifier">num</span></code>
                      and succeeds only if both are equal, failing otherwise.
                    </p>
                  </td>
</tr>
<tr>
<td>
                    <p>
                      <code class="computeroutput"><span class="identifier">double_</span></code>
                    </p>
                  </td>
<td>
                    <p>
                      <code class="computeroutput"><span class="keyword">double</span></code>, attribute
                      is mandatory (otherwise compilation will fail)
                    </p>
                  </td>
</tr>
<tr>
<td>
                    <p>
                      <code class="computeroutput"><span class="identifier">double_</span><span class="special">(</span><span class="identifier">num</span><span class="special">)</span></code>
                    </p>
                  </td>
<td>
                    <p>
                      <code class="computeroutput"><span class="keyword">double</span></code>, attribute
                      is optional, if it is supplied, the generator compares the
                      attribute with <code class="computeroutput"><span class="identifier">num</span></code>
                      and succeeds only if both are equal, failing otherwise.
                    </p>
                  </td>
</tr>
<tr>
<td>
                    <p>
                      <code class="computeroutput"><span class="identifier">long_double</span></code>
                    </p>
                  </td>
<td>
                    <p>
                      <code class="computeroutput"><span class="keyword">long</span> <span class="keyword">double</span></code>,
                      attribute is mandatory (otherwise compilation will fail)
                    </p>
                  </td>
</tr>
<tr>
<td>
                    <p>
                      <code class="computeroutput"><span class="identifier">long_double</span><span class="special">(</span><span class="identifier">num</span><span class="special">)</span></code>
                    </p>
                  </td>
<td>
                    <p>
                      <code class="computeroutput"><span class="keyword">long</span> <span class="keyword">double</span></code>,
                      attribute is optional, if it is supplied, the generator compares
                      the attribute with <code class="computeroutput"><span class="identifier">num</span></code>
                      and succeeds only if both are equal, failing otherwise.
                    </p>
                  </td>
</tr>
<tr>
<td>
                    <p>
                      
</p>
<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">real_generator</span><span class="special">&lt;</span>
    <span class="identifier">Num</span><span class="special">,</span> <span class="identifier">Policies</span>
<span class="special">&gt;()</span></pre>
<p>
                    </p>
                  </td>
<td>
                    <p>
                      <code class="computeroutput"><span class="identifier">Num</span></code>, attribute
                      is mandatory (otherwise compilation will fail)
                    </p>
                  </td>
</tr>
<tr>
<td>
                    <p>
                      
</p>
<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">real_generator</span><span class="special">&lt;</span>
    <span class="identifier">Num</span><span class="special">,</span> <span class="identifier">Policies</span>
<span class="special">&gt;()(</span><span class="identifier">num</span><span class="special">)</span></pre>
<p>
                    </p>
                  </td>
<td>
                    <p>
                      <code class="computeroutput"><span class="identifier">Num</span></code>, attribute
                      is optional, if it is supplied, the generator compares the
                      attribute with <code class="computeroutput"><span class="identifier">num</span></code>
                      and succeeds only if both are equal, failing otherwise.
                    </p>
                  </td>
</tr>
</tbody>
</table></div>
<div class="note"><table border="0" summary="Note">
<tr>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../images/note.png"></td>
<th align="left">Note</th>
</tr>
<tr><td align="left" valign="top"><p>
              In addition to their usual attribute of type <code class="computeroutput"><span class="identifier">Num</span></code>
              all listed generators accept an instance of a <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">optional</span><span class="special">&lt;</span><span class="identifier">Num</span><span class="special">&gt;</span></code> as well. If the <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">optional</span><span class="special">&lt;&gt;</span></code> is initialized (holds a value)
              the generators behave as if their attribute was an instance of <code class="computeroutput"><span class="identifier">Num</span></code> and emit the value stored in
              the <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">optional</span><span class="special">&lt;&gt;</span></code>.
              Otherwise the generators will fail.
            </p></td></tr>
</table></div>
<a name="spirit.karma.reference.numeric.real_number.real_number_formatting_policies"></a><h6>
<a name="id1119502"></a>
            <a class="link" href="real_number.html#spirit.karma.reference.numeric.real_number.real_number_formatting_policies">Real
            Number Formatting Policies</a>
          </h6>
<p>
            If special formatting of a real number is needed, overload the policy
            class <code class="computeroutput"><span class="identifier">real_policies</span><span class="special">&lt;</span><span class="identifier">Num</span><span class="special">&gt;</span></code>
            and use it as a template parameter to the <code class="computeroutput"><span class="identifier">real_generator</span><span class="special">&lt;&gt;</span></code> real number generator. For instance:
          </p>
<pre class="programlisting"><span class="comment">// define a new real number formatting policy
</span><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">Num</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">scientific_policy</span> <span class="special">:</span> <span class="identifier">real_policies</span><span class="special">&lt;</span><span class="identifier">Num</span><span class="special">&gt;</span>
<span class="special">{</span>
    <span class="comment">// we want the numbers always to be in scientific format
</span>    <span class="keyword">static</span> <span class="keyword">int</span> <span class="identifier">floatfield</span><span class="special">(</span><span class="identifier">Num</span> <span class="identifier">n</span><span class="special">)</span> <span class="special">{</span> <span class="keyword">return</span> <span class="identifier">fmtflags</span><span class="special">::</span><span class="identifier">scientific</span><span class="special">;</span> <span class="special">}</span>
<span class="special">};</span>

<span class="comment">// define a new generator type based on the new policy
</span><span class="keyword">typedef</span> <span class="identifier">real_generator</span><span class="special">&lt;</span><span class="keyword">double</span><span class="special">,</span> <span class="identifier">scientific_policy</span><span class="special">&lt;</span><span class="keyword">double</span><span class="special">&gt;</span> <span class="special">&gt;</span> <span class="identifier">science_type</span><span class="special">;</span>
<span class="identifier">science_type</span> <span class="keyword">const</span> <span class="identifier">scientific</span> <span class="special">=</span> <span class="identifier">science_type</span><span class="special">();</span>

<span class="comment">// use the new generator 
</span><span class="identifier">generate</span><span class="special">(</span><span class="identifier">sink</span><span class="special">,</span> <span class="identifier">science_type</span><span class="special">(),</span> <span class="number">1.0</span><span class="special">);</span>  <span class="comment">// will output: 1.0e00
</span><span class="identifier">generate</span><span class="special">(</span><span class="identifier">sink</span><span class="special">,</span> <span class="identifier">scientific</span><span class="special">,</span> <span class="number">0.1</span><span class="special">);</span>      <span class="comment">// will output: 1.0e-01
</span></pre>
<p>
            The template parameter <code class="computeroutput"><span class="identifier">Num</span></code>
            should be the type to be formatted using the overloaded policy type.
            At the same time <code class="computeroutput"><span class="identifier">Num</span></code>
            will be used as the attribute type of the created real number generator.
          </p>
<a name="spirit.karma.reference.numeric.real_number.real_number_formatting_policy_expression_semantics"></a><h6>
<a name="id1119856"></a>
            <a class="link" href="real_number.html#spirit.karma.reference.numeric.real_number.real_number_formatting_policy_expression_semantics">Real
            Number Formatting Policy Expression Semantics</a>
          </h6>
<p>
            A real number formatting policy should expose the following variables
            and functions:
          </p>
<div class="informaltable"><table class="table">
<colgroup>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                    <p>
                      Expression
                    </p>
                  </th>
<th>
                    <p>
                      Description
                    </p>
                  </th>
</tr></thead>
<tbody>
<tr>
<td>
                    <p>
                      
</p>
<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">Inserter</span>
  <span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">OutputIterator</span>
  <span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">Policies</span><span class="special">&gt;</span>
<span class="keyword">bool</span> <span class="identifier">call</span> <span class="special">(</span><span class="identifier">OutputIterator</span><span class="special">&amp;</span> <span class="identifier">sink</span><span class="special">,</span> <span class="identifier">Num</span> <span class="identifier">n</span>
  <span class="special">,</span> <span class="identifier">Policies</span> <span class="keyword">const</span><span class="special">&amp;</span> <span class="identifier">p</span><span class="special">);</span>
</pre>
<p>
                    </p>
                  </td>
<td>
                    <p>
                      This is the main function used to generate the output for a
                      real number. It is called by the real generator in order to
                      perform the conversion. In theory all of the work can be implemented
                      here, but the easiest way is to use existing functionality
                      provided by the type specified by the template parameter <code class="computeroutput"><span class="identifier">Inserter</span></code>. The default implementation
                      of this functions is: 
</p>
<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">Inserter</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">OutputIterator</span>
  <span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">Policies</span><span class="special">&gt;</span>
<span class="keyword">static</span> <span class="keyword">bool</span>
<span class="identifier">call</span> <span class="special">(</span><span class="identifier">OutputIterator</span><span class="special">&amp;</span> <span class="identifier">sink</span><span class="special">,</span> <span class="identifier">Num</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">Policies</span> <span class="keyword">const</span><span class="special">&amp;</span> <span class="identifier">p</span><span class="special">)</span>
<span class="special">{</span>
    <span class="keyword">return</span> <span class="identifier">Inserter</span><span class="special">::</span><span class="identifier">call_n</span><span class="special">(</span><span class="identifier">sink</span><span class="special">,</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">p</span><span class="special">);</span>
<span class="special">}</span>
</pre>
<p>
                      <code class="computeroutput"><span class="identifier">sink</span></code> is the
                      output iterator to use for generation
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">n</span></code> is the real
                      number to convert
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">p</span></code> is the instance
                      of the policy type used to instantiate this real number generator.
                    </p>
                  </td>
</tr>
<tr>
<td>
                    <p>
                      
</p>
<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="keyword">bool</span> <span class="identifier">force_sign</span><span class="special">(</span><span class="identifier">Num</span> <span class="identifier">n</span><span class="special">);</span>
</pre>
<p>
                    </p>
                  </td>
<td>
                    <p>
                      The default behavior is to not to require generating a sign.
                      If the function <code class="computeroutput"><span class="identifier">force_sign</span><span class="special">()</span></code> returns true, then all generated
                      numbers will have a sign (<code class="computeroutput"><span class="char">'+'</span></code>
                      or <code class="computeroutput"><span class="char">'-'</span></code>, zeros will
                      have a space instead of a sign).
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">n</span></code> is the real
                      number to output. This can be used to adjust the required behavior
                      depending on the value of this number.
                    </p>
                  </td>
</tr>
<tr>
<td>
                    <p>
                      
</p>
<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="keyword">bool</span> <span class="identifier">trailing_zeros</span><span class="special">(</span><span class="identifier">Num</span> <span class="identifier">n</span><span class="special">);</span>
</pre>
<p>
                    </p>
                  </td>
<td>
                    <p>
                      Return whether trailing zero digits have to be emitted in the
                      fractional part of the output. If set, this flag instructs
                      the real number generator to emit trailing zeros up to the
                      required precision digits (as returned by the <code class="computeroutput"><span class="identifier">precision</span><span class="special">()</span></code>
                      function).
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">n</span></code> is the real
                      number to output. This can be used to adjust the required behavior
                      depending on the value of this number.
                    </p>
                  </td>
</tr>
<tr>
<td>
                    <p>
                      
</p>
<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="keyword">int</span> <span class="identifier">floatfield</span><span class="special">(</span><span class="identifier">Num</span> <span class="identifier">n</span><span class="special">);</span>
</pre>
<p>
                    </p>
                  </td>
<td>
                    <p>
                      Decide, which representation type to use in the generated output.
                    </p>
                    <p>
                      By default all numbers having an absolute value of zero or
                      in between <code class="computeroutput"><span class="number">0.001</span></code>
                      and <code class="computeroutput"><span class="number">100000</span></code> will
                      be generated using the fixed format, all others will be generated
                      using the scientific representation.
                    </p>
                    <p>
                      The <code class="computeroutput"><span class="identifier">trailing_zeros</span><span class="special">()</span></code> can be used to force the
                      output of trailing zeros in the fractional part up to the number
                      of digits returned by the <code class="computeroutput"><span class="identifier">precision</span><span class="special">()</span></code> member function. The default
                      is not to generate the trailing zeros.
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">n</span></code> is the real
                      number to output. This can be used to adjust the formatting
                      flags depending on the value of this number.
                    </p>
                    <p>
                      The return value has to be either <code class="computeroutput"><span class="identifier">fmtflags</span><span class="special">::</span><span class="identifier">scientific</span></code>
                      (generate real number values in scientific notation) or <code class="computeroutput"><span class="identifier">fmtflags</span><span class="special">::</span><span class="identifier">fixed</span></code> (generate real number
                      values in fixed-point notation).
                    </p>
                  </td>
</tr>
<tr>
<td>
                    <p>
                      
</p>
<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="keyword">unsigned</span> <span class="identifier">precision</span><span class="special">(</span><span class="identifier">Num</span> <span class="identifier">n</span><span class="special">);</span>
</pre>
<p>
                    </p>
                  </td>
<td>
                    <p>
                      Return the maximum number of decimal digits to generate in
                      the fractional part of the output.
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">n</span></code> is the real
                      number to output. This can be used to adjust the required precision
                      depending on the value of this number. If the trailing zeros
                      flag is specified the fractional part of the output will be
                      'filled' with zeros, if appropriate.
                    </p>
                    <p>
                      <span class="bold"><strong>Note:</strong></span> If the trailing_zeros
                      flag is not in effect additional semantics apply. See the description
                      for the <code class="computeroutput"><span class="identifier">fraction_part</span><span class="special">()</span></code> function below. Moreover,
                      this precision will be limited to the value of <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;::</span><span class="identifier">digits10</span> <span class="special">+</span>
                      <span class="number">1</span></code>.
                    </p>
                  </td>
</tr>
<tr>
<td>
                    <p>
                      
</p>
<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">bool</span> <span class="identifier">ForceSign</span><span class="special">,</span> 
    <span class="keyword">typename</span> <span class="identifier">OutputIterator</span><span class="special">&gt;</span>
<span class="keyword">bool</span> <span class="identifier">integer_part</span><span class="special">(</span><span class="identifier">OutputIterator</span><span class="special">&amp;</span> <span class="identifier">sink</span>
  <span class="special">,</span> <span class="identifier">Num</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">bool</span> <span class="identifier">sign</span><span class="special">,</span> <span class="keyword">bool</span> <span class="identifier">force_sign</span><span class="special">);</span>
</pre>
<p>
                    </p>
                  </td>
<td>
                    <p>
                      This function is called to generate the integer part of the
                      real number.
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">sink</span></code> is the
                      output iterator to use for generation
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">n</span></code> is the absolute
                      value of the integer part of the real number to convert (always
                      non-negative)
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">sign</span></code> is the
                      sign of the overall real number to convert.
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">force_sign</span></code>
                      is a flag indicating whether a sign has to be generated even
                      for non-negative numbers (this is the same as has been returned
                      from the function <code class="computeroutput"><span class="identifier">force_sign</span><span class="special">()</span></code> described above)
                    </p>
                    <p>
                      The return value defines the outcome of the whole generator.
                      If it is <code class="computeroutput"><span class="keyword">false</span></code>,
                      no further output is generated, immediately returning <code class="computeroutput"><span class="keyword">false</span></code> from the calling <code class="computeroutput"><span class="identifier">real_generator</span></code> as well. If
                      it is <code class="computeroutput"><span class="keyword">true</span></code>, normal
                      output generation continues.
                    </p>
                  </td>
</tr>
<tr>
<td>
                    <p>
                      
</p>
<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">OutputIterator</span><span class="special">&gt;</span>
<span class="keyword">bool</span> <span class="identifier">dot</span><span class="special">(</span><span class="identifier">OutputIterator</span><span class="special">&amp;</span> <span class="identifier">sink</span><span class="special">,</span> <span class="identifier">Num</span> <span class="identifier">n</span><span class="special">,</span>
  <span class="keyword">unsigned</span> <span class="identifier">precision</span><span class="special">);</span>
</pre>
<p>
                    </p>
                  </td>
<td>
                    <p>
                      This function is called to generate the decimal point.
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">sink</span></code> is the
                      output iterator to use for generation
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">n</span></code> is the fractional
                      part of the real number to convert. Note that this number is
                      scaled such, that it represents the number of units which correspond
                      to the value returned from the <code class="computeroutput"><span class="identifier">precision</span><span class="special">()</span></code> function earlier. I.e. a
                      fractional part of <code class="computeroutput"><span class="number">0.01234</span></code>
                      is represented as <code class="computeroutput"><span class="number">1234</span></code>
                      when the function <code class="computeroutput"><span class="identifier">precision</span><span class="special">()</span></code> returned <code class="computeroutput"><span class="number">5</span></code>.
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">precision</span></code> is
                      the number of digits to emit as returned by the function <code class="computeroutput"><span class="identifier">precision</span><span class="special">()</span></code>
                      described above
                    </p>
                    <p>
                      This is given to allow to decide, whether a decimal point has
                      to be generated at all.
                    </p>
                    <p>
                      <span class="bold"><strong>Note:</strong></span> If the <code class="computeroutput"><span class="identifier">trailing_zeros</span></code> flag is not
                      in effect additional comments apply. See the description for
                      the <code class="computeroutput"><span class="identifier">fraction_part</span><span class="special">()</span></code> function below.
                    </p>
                    <p>
                      The return value defines the outcome of the whole generator.
                      If it is <code class="computeroutput"><span class="keyword">false</span></code>,
                      no further output is generated, immediately returning <code class="computeroutput"><span class="keyword">false</span></code> from the calling <code class="computeroutput"><span class="identifier">real_generator</span></code> as well. If
                      it is <code class="computeroutput"><span class="keyword">true</span></code>, normal
                      output generation continues.
                    </p>
                  </td>
</tr>
<tr>
<td>
                    <p>
                      
</p>
<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">OutputIterator</span><span class="special">&gt;</span>
<span class="keyword">bool</span> <span class="identifier">fraction_part</span><span class="special">(</span><span class="identifier">OutputIterator</span><span class="special">&amp;</span> <span class="identifier">sink</span><span class="special">,</span> <span class="identifier">Num</span> <span class="identifier">n</span>
  <span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">adjprec</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">precision</span><span class="special">);</span>
</pre>
<p>
                    </p>
                  </td>
<td>
                    <p>
                      This function is called to generate the fractional part of
                      the number.
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">sink</span></code> is the
                      output iterator to use for generation
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">n</span></code> is the fractional
                      part of the real number to convert. Note that this number is
                      scaled such, that it represents the number of units which correspond
                      to the value returned from the <code class="computeroutput"><span class="identifier">precision</span><span class="special">()</span></code> function earlier. I.e. a
                      fractional part of <code class="computeroutput"><span class="number">0.01234</span></code>
                      is represented as <code class="computeroutput"><span class="number">1234</span></code>
                      when the function <code class="computeroutput"><span class="identifier">precision</span><span class="special">()</span></code> returned <code class="computeroutput"><span class="number">5</span></code>.
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">adjprec</span></code> is
                      the corrected number of digits to emit (see note below)
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">precision</span></code> is
                      the number of digits to emit as returned by the function <code class="computeroutput"><span class="identifier">precision</span><span class="special">()</span></code>
                      described above
                    </p>
                    <p>
                      <span class="bold"><strong>Note:</strong></span> If <code class="computeroutput"><span class="identifier">trailing_zeros</span><span class="special">()</span></code> returns <code class="computeroutput"><span class="keyword">false</span></code>
                      the <code class="computeroutput"><span class="identifier">adjprec</span></code>
                      parameter will have been corrected from the value the <code class="computeroutput"><span class="identifier">precision</span><span class="special">()</span></code>
                      function returned earlier (defining the maximal number of fractional
                      digits) in the sense, that it takes into account trailing zeros.
                      I.e. a real number <code class="computeroutput"><span class="number">0.0123</span></code>
                      and a value of <code class="computeroutput"><span class="number">5</span></code>
                      returned from <code class="computeroutput"><span class="identifier">precision</span><span class="special">()</span></code> will result in:
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">trailing_zeros</span><span class="special">()</span></code> returned <code class="computeroutput"><span class="keyword">false</span></code>:
                      <code class="computeroutput"><span class="identifier">n</span></code> will be
                      <code class="computeroutput"><span class="number">123</span></code>, and <code class="computeroutput"><span class="identifier">adjprec</span></code> will be <code class="computeroutput"><span class="number">4</span></code> (as we need to print <code class="computeroutput"><span class="number">0123</span></code>)
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">trailing_zeros</span><span class="special">()</span></code> returned <code class="computeroutput"><span class="keyword">true</span></code>:
                      <code class="computeroutput"><span class="identifier">n</span></code> will be
                      <code class="computeroutput"><span class="number">1230</span></code>, and <code class="computeroutput"><span class="identifier">adjprec</span></code> will be <code class="computeroutput"><span class="number">5</span></code> (as we need to print <code class="computeroutput"><span class="number">01230</span></code>)
                    </p>
                    <p>
                      The missing preceding zeros in the fractional part have to
                      be supplied by the implementation of this policy function.
                    </p>
                    <p>
                      The return value defines the outcome of the whole generator.
                      If it is <code class="computeroutput"><span class="keyword">false</span></code>,
                      no further output is generated, immediately returning <code class="computeroutput"><span class="keyword">false</span></code> from the calling <code class="computeroutput"><span class="identifier">real_generator</span></code> as well. If
                      it is <code class="computeroutput"><span class="keyword">true</span></code>, normal
                      output generation continues.
                    </p>
                  </td>
</tr>
<tr>
<td>
                    <p>
                      
</p>
<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">CharEncoding</span><span class="special">,</span> 
    <span class="keyword">typename</span> <span class="identifier">Tag</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">OutputIterator</span><span class="special">&gt;</span>
<span class="keyword">bool</span> <span class="identifier">exponent</span><span class="special">(</span>
    <span class="identifier">OutputIterator</span><span class="special">&amp;</span> <span class="identifier">sink</span><span class="special">,</span> <span class="keyword">long</span> <span class="identifier">n</span><span class="special">);</span>
</pre>
<p>
                    </p>
                  </td>
<td>
                    <p>
                      This function is called to generate the exponential part of
                      the number (this is called only if the <code class="computeroutput"><span class="identifier">floatfield</span><span class="special">()</span></code> function returned the <code class="computeroutput"><span class="identifier">fmtflags</span><span class="special">::</span><span class="identifier">scientific</span></code> flag).
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">sink</span></code> is the
                      output iterator to use for generation
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">n</span></code> is the (signed)
                      exponential part of the real number to convert.
                    </p>
                    <p>
                      The template parameters <code class="computeroutput"><span class="identifier">CharEncoding</span></code>
                      and <code class="computeroutput"><span class="identifier">Tag</span></code> are
                      either of the type <code class="computeroutput"><span class="identifier">unused_type</span></code>
                      or describe the character class and conversion to be applied
                      to any output possibly influenced by either the <code class="computeroutput"><span class="identifier">lower</span><span class="special">[]</span></code>
                      or <code class="computeroutput"><span class="identifier">upper</span><span class="special">[]</span></code>
                      directives.
                    </p>
                    <p>
                      The return value defines the outcome of the whole generator.
                      If it is <code class="computeroutput"><span class="keyword">false</span></code>,
                      no further output is generated, immediately returning <code class="computeroutput"><span class="keyword">false</span></code> from the calling <code class="computeroutput"><span class="identifier">real_generator</span></code> as well. If
                      it is <code class="computeroutput"><span class="keyword">true</span></code>, normal
                      output generation continues.
                    </p>
                  </td>
</tr>
<tr>
<td>
                    <p>
                      
</p>
<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">CharEncoding</span>
  <span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">Tag</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">OutputIterator</span><span class="special">&gt;</span>
<span class="keyword">bool</span> <span class="identifier">nan</span> <span class="special">(</span><span class="identifier">OutputIterator</span><span class="special">&amp;</span> <span class="identifier">sink</span><span class="special">,</span> <span class="identifier">Num</span> <span class="identifier">n</span>
  <span class="special">,</span> <span class="keyword">bool</span> <span class="identifier">force_sign</span><span class="special">);</span>
</pre>
<p>
                    </p>
                  </td>
<td>
                    <p>
                      This function is called whenever the number to print is a non-normal
                      real number of type <code class="computeroutput"><span class="identifier">NaN</span></code>.
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">sink</span></code> is the
                      output iterator to use for generation
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">n</span></code> is the (signed)
                      real number to convert
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">force_sign</span></code>
                      is a flag indicating whether a sign has to be generated even
                      for non-negative numbers (this is the same as has been returned
                      from the function <code class="computeroutput"><span class="identifier">force_sign</span><span class="special">()</span></code> described above)
                    </p>
                    <p>
                      The template parameters <code class="computeroutput"><span class="identifier">CharEncoding</span></code>
                      and <code class="computeroutput"><span class="identifier">Tag</span></code> are
                      either of the type <code class="computeroutput"><span class="identifier">unused_type</span></code>
                      or describe the character class and conversion to be applied
                      to any output possibly influenced by either the <code class="computeroutput"><span class="identifier">lower</span><span class="special">[]</span></code>
                      or <code class="computeroutput"><span class="identifier">upper</span><span class="special">[]</span></code>
                      directives.
                    </p>
                    <p>
                      The return value defines the outcome of the whole generator.
                      If it is <code class="computeroutput"><span class="keyword">false</span></code>,
                      no further output is generated, immediately returning <code class="computeroutput"><span class="keyword">false</span></code> from the calling <code class="computeroutput"><span class="identifier">real_generator</span></code> as well. If
                      it is <code class="computeroutput"><span class="keyword">true</span></code>, normal
                      output generation continues.
                    </p>
                  </td>
</tr>
<tr>
<td>
                    <p>
                      
</p>
<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">CharEncoding</span>
  <span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">Tag</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">OutputIterator</span><span class="special">&gt;</span>
<span class="keyword">bool</span> <span class="identifier">inf</span> <span class="special">(</span><span class="identifier">OutputIterator</span><span class="special">&amp;</span> <span class="identifier">sink</span><span class="special">,</span> <span class="identifier">Num</span> <span class="identifier">n</span>
  <span class="special">,</span> <span class="keyword">bool</span> <span class="identifier">force_sign</span><span class="special">);</span>
</pre>
<p>
                    </p>
                  </td>
<td>
                    <p>
                      This function is called whenever the number to print is a non-normal
                      real number of type <code class="computeroutput"><span class="identifier">Inf</span></code>.
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">sink</span></code> is the
                      output iterator to use for generation
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">n</span></code> is the (signed)
                      real number to convert
                    </p>
                    <p>
                      <code class="computeroutput"><span class="identifier">force_sign</span></code>
                      is a flag indicating whether a sign has to be generated even
                      for non-negative numbers (this is the same as has been returned
                      from the function <code class="computeroutput"><span class="identifier">force_sign</span><span class="special">()</span></code> described above)
                    </p>
                    <p>
                      The template parameters <code class="computeroutput"><span class="identifier">CharEncoding</span></code>
                      and <code class="computeroutput"><span class="identifier">Tag</span></code> are
                      either of the type <code class="computeroutput"><span class="identifier">unused_type</span></code>
                      or describe the character class and conversion to be applied
                      to any output possibly influenced by either the <code class="computeroutput"><span class="identifier">lower</span><span class="special">[]</span></code>
                      or <code class="computeroutput"><span class="identifier">upper</span><span class="special">[]</span></code>
                      directives.
                    </p>
                    <p>
                      The return value defines the outcome of the whole generator.
                      If it is <code class="computeroutput"><span class="keyword">false</span></code>,
                      no further output is generated, immediately returning <code class="computeroutput"><span class="keyword">false</span></code> from the calling <code class="computeroutput"><span class="identifier">real_generator</span></code> as well. If
                      it is <code class="computeroutput"><span class="keyword">true</span></code>, normal
                      output generation continues.
                    </p>
                  </td>
</tr>
</tbody>
</table></div>
<div class="tip"><table border="0" summary="Tip">
<tr>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Tip]" src="../../../../images/tip.png"></td>
<th align="left">Tip</th>
</tr>
<tr><td align="left" valign="top"><p>
              The easiest way to implement a proper real number formatting policy
              is to derive a new type from the the type <code class="computeroutput"><span class="identifier">real_policies</span><span class="special">&lt;&gt;</span></code> while overriding the aspects
              of the formatting which need to be changed.
            </p></td></tr>
</table></div>
<a name="spirit.karma.reference.numeric.real_number.complexity"></a><h6>
<a name="id1122886"></a>
            <a class="link" href="real_number.html#spirit.karma.reference.numeric.real_number.complexity">Complexity</a>
          </h6>
<div class="blockquote"><blockquote class="blockquote"><p>
              O(N), where <code class="computeroutput"><span class="identifier">N</span></code> is the
              number of digits needed to represent the generated real number.
            </p></blockquote></div>
<a name="spirit.karma.reference.numeric.real_number.example"></a><h6>
<a name="id1122913"></a>
            <a class="link" href="real_number.html#spirit.karma.reference.numeric.real_number.example">Example</a>
          </h6>
<div class="note"><table border="0" summary="Note">
<tr>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../images/note.png"></td>
<th align="left">Note</th>
</tr>
<tr><td align="left" valign="top"><p>
              The test harness for the example(s) below is presented in the <a class="link" href="../karma_basics.html#spirit.karma.reference.karma_basics.examples">Basics Examples</a>
              section.
            </p></td></tr>
</table></div>
<p>
            Some includes:
          </p>
<p>
            
</p>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">spirit</span><span class="special">/</span><span class="identifier">include</span><span class="special">/</span><span class="identifier">karma</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">spirit</span><span class="special">/</span><span class="identifier">include</span><span class="special">/</span><span class="identifier">phoenix_core</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">spirit</span><span class="special">/</span><span class="identifier">include</span><span class="special">/</span><span class="identifier">phoenix_operator</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">fusion</span><span class="special">/</span><span class="identifier">include</span><span class="special">/</span><span class="identifier">std_pair</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">iostream</span><span class="special">&gt;</span>
<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">string</span><span class="special">&gt;</span>
</pre>
<p>
          </p>
<p>
            Some using declarations:
          </p>
<p>
            
</p>
<pre class="programlisting"><span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">spirit</span><span class="special">::</span><span class="identifier">karma</span><span class="special">::</span><span class="identifier">double_</span><span class="special">;</span>
<span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">spirit</span><span class="special">::</span><span class="identifier">karma</span><span class="special">::</span><span class="identifier">lit</span><span class="special">;</span>
</pre>
<p>
          </p>
<p>
            Basic usage of an <code class="computeroutput"><span class="identifier">double_</span></code>
            generator:
          </p>
<p>
            
</p>
<pre class="programlisting"><span class="identifier">test_generator</span><span class="special">(</span><span class="string">"2.0"</span><span class="special">,</span> <span class="identifier">lit</span><span class="special">(</span><span class="number">2.0</span><span class="special">));</span>
<span class="identifier">test_generator</span><span class="special">(</span><span class="string">"2.0"</span><span class="special">,</span> <span class="identifier">double_</span><span class="special">(</span><span class="number">2</span><span class="special">));</span>
<span class="identifier">test_generator_attr</span><span class="special">(</span><span class="string">"2.0"</span><span class="special">,</span> <span class="identifier">double_</span><span class="special">(</span><span class="number">2.0</span><span class="special">),</span> <span class="number">2.0</span><span class="special">);</span>
<span class="identifier">test_generator_attr</span><span class="special">(</span><span class="string">""</span><span class="special">,</span> <span class="identifier">double_</span><span class="special">(</span><span class="number">2.0</span><span class="special">),</span> <span class="number">3.0</span><span class="special">);</span>    <span class="comment">// fails (as 2.0 != 3.0)!
</span><span class="identifier">test_generator_attr</span><span class="special">(</span><span class="string">"-2.0"</span><span class="special">,</span> <span class="identifier">double_</span><span class="special">,</span> <span class="special">-</span><span class="number">2.0</span><span class="special">);</span>

<span class="identifier">test_generator_attr</span><span class="special">(</span><span class="string">"1.234e05"</span><span class="special">,</span> <span class="identifier">double_</span><span class="special">,</span> <span class="number">1234.0e2</span><span class="special">);</span>
<span class="identifier">test_generator_attr</span><span class="special">(</span><span class="string">"1.234e-06"</span><span class="special">,</span> <span class="identifier">double_</span><span class="special">,</span> <span class="number">0.000001234</span><span class="special">);</span>
</pre>
<p>
          </p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2001-2010 Joel de Guzman, Hartmut Kaiser<p>
        Distributed under the Boost Software License, Version 1.0. (See accompanying
        file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
      </p>
</div></td>
</tr></table>
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