Rebuild documentation.

Rebuilding documentation on develop and master to avoid unnecessary
differences.
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Daniel James 2014-06-02 10:05:00 +01:00
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@ -1,11 +1,11 @@
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@ -13,27 +13,27 @@
<table cellpadding="2" width="100%"><tr>
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<div class="section" title="bounds&lt;&gt; traits class">
<div class="section">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="boost_numericconversion.bounds___traits_class"></a><a class="link" href="bounds___traits_class.html" title="bounds&lt;&gt; traits class">bounds&lt;&gt;
traits class</a>
</h2></div></div></div>
<div class="toc"><dl>
<div class="toc"><dl class="toc">
<dt><span class="section"><a href="bounds___traits_class.html#boost_numericconversion.bounds___traits_class.introduction">Introduction</a></span></dt>
<dt><span class="section"><a href="bounds___traits_class.html#boost_numericconversion.bounds___traits_class.traits_class_bounds_n_">traits
class bounds&lt;N&gt;</a></span></dt>
<dt><span class="section"><a href="bounds___traits_class.html#boost_numericconversion.bounds___traits_class.examples">Examples</a></span></dt>
</dl></div>
<div class="section" title="Introduction">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.bounds___traits_class.introduction"></a><a class="link" href="bounds___traits_class.html#boost_numericconversion.bounds___traits_class.introduction" title="Introduction">Introduction</a>
</h3></div></div></div>
@ -53,7 +53,7 @@
at compile time, so there is no runtime overhead.
</p>
</div>
<div class="section" title="traits class bounds&lt;N&gt;">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.bounds___traits_class.traits_class_bounds_n_"></a><a class="link" href="bounds___traits_class.html#boost_numericconversion.bounds___traits_class.traits_class_bounds_n_" title="traits class bounds&lt;N&gt;">traits
class bounds&lt;N&gt;</a>
@ -66,52 +66,34 @@
<span class="keyword">static</span> <span class="identifier">N</span> <span class="identifier">smallest</span><span class="special">()</span> <span class="special">{</span> <span class="keyword">return</span> <span class="identifier">implementation_defined</span><span class="special">;</span> <span class="special">}</span>
<span class="special">};</span>
</pre>
<a name="boost_numericconversion.bounds___traits_class.traits_class_bounds_n_.members"></a><h5>
<a name="id565414"></a>
<a class="link" href="bounds___traits_class.html#boost_numericconversion.bounds___traits_class.traits_class_bounds_n_.members">Members</a>
<h5>
<a name="boost_numericconversion.bounds___traits_class.traits_class_bounds_n_.h0"></a>
<span class="phrase"><a name="boost_numericconversion.bounds___traits_class.traits_class_bounds_n_.members"></a></span><a class="link" href="bounds___traits_class.html#boost_numericconversion.bounds___traits_class.traits_class_bounds_n_.members">Members</a>
</h5>
<div class="blockquote"><blockquote class="blockquote">
<p>
</p>
<p>
<code class="computeroutput"><span class="identifier">lowest</span><span class="special">()</span></code>
</p>
<p>
</p>
</blockquote></div>
<div class="blockquote"><blockquote class="blockquote"><p>
<code class="computeroutput"><span class="identifier">lowest</span><span class="special">()</span></code>
</p></blockquote></div>
<p>
Returns the minimum finite value, equivalent to <code class="computeroutput"><span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;::</span><span class="identifier">min</span><span class="special">()</span></code> when
<code class="computeroutput"><span class="identifier">T</span></code> is an integral type, and
to <code class="computeroutput"><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">max</span><span class="special">()</span></code> when
<code class="computeroutput"><span class="identifier">T</span></code> is a floating point type.
</p>
<div class="blockquote"><blockquote class="blockquote">
<p>
</p>
<p>
<code class="computeroutput"><span class="identifier">highest</span><span class="special">()</span></code>
</p>
<p>
</p>
</blockquote></div>
<div class="blockquote"><blockquote class="blockquote"><p>
<code class="computeroutput"><span class="identifier">highest</span><span class="special">()</span></code>
</p></blockquote></div>
<p>
Returns the maximum finite value, equivalent to <code class="computeroutput"><span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;::</span><span class="identifier">max</span><span class="special">()</span></code>.
</p>
<div class="blockquote"><blockquote class="blockquote">
<p>
</p>
<p>
<code class="computeroutput"><span class="identifier">smallest</span><span class="special">()</span></code>
</p>
<p>
</p>
</blockquote></div>
<div class="blockquote"><blockquote class="blockquote"><p>
<code class="computeroutput"><span class="identifier">smallest</span><span class="special">()</span></code>
</p></blockquote></div>
<p>
Returns the smallest positive normalized value for floating point types with
denormalization, or returns 0 for integral types.
</p>
</div>
<div class="section" title="Examples">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.bounds___traits_class.examples"></a><a class="link" href="bounds___traits_class.html#boost_numericconversion.bounds___traits_class.examples" title="Examples">Examples</a>
</h3></div></div></div>
@ -146,7 +128,8 @@
</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 © 2004 -2007 Fernando Luis Cacciola Carballal<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2004-2007 Fernando
Luis Cacciola Carballal<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>
@ -154,7 +137,7 @@
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@ -13,29 +13,29 @@
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<div class="section" title="conversion_traits&lt;&gt; traits class">
<div class="section">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="boost_numericconversion.conversion_traits___traits_class"></a><a class="link" href="conversion_traits___traits_class.html" title="conversion_traits&lt;&gt; traits class">conversion_traits&lt;&gt;
traits class</a>
</h2></div></div></div>
<div class="toc"><dl>
<div class="toc"><dl class="toc">
<dt><span class="section"><a href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.types">Types</a></span></dt>
<dt><span class="section"><a href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.examples">Examples</a></span></dt>
</dl></div>
<div class="section" title="Types">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.conversion_traits___traits_class.types"></a><a class="link" href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.types" title="Types">Types</a>
</h3></div></div></div>
<div class="toc"><dl>
<div class="toc"><dl class="toc">
<dt><span class="section"><a href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.types.enumeration_int_float_mixture_enum">enumeration
int_float_mixture_enum</a></span></dt>
<dt><span class="section"><a href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.types.enumeration_sign_mixture_enum">enumeration
@ -53,7 +53,7 @@
<dt><span class="section"><a href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.types.template_class_conversion_traits__">template
class conversion_traits&lt;&gt;</a></span></dt>
</dl></div>
<div class="section" title="enumeration int_float_mixture_enum">
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="boost_numericconversion.conversion_traits___traits_class.types.enumeration_int_float_mixture_enum"></a><a class="link" href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.types.enumeration_int_float_mixture_enum" title="enumeration int_float_mixture_enum">enumeration
int_float_mixture_enum</a>
@ -68,10 +68,10 @@
<span class="special">,</span><span class="identifier">float_to_float</span>
<span class="special">}</span> <span class="special">;</span>
<span class="special">}</span> <span class="special">}</span> <span class="comment">// namespace boost::numeric
</span></pre>
<span class="special">}</span> <span class="special">}</span> <span class="comment">// namespace boost::numeric</span>
</pre>
</div>
<div class="section" title="enumeration sign_mixture_enum">
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="boost_numericconversion.conversion_traits___traits_class.types.enumeration_sign_mixture_enum"></a><a class="link" href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.types.enumeration_sign_mixture_enum" title="enumeration sign_mixture_enum">enumeration
sign_mixture_enum</a>
@ -86,10 +86,10 @@
<span class="special">,</span><span class="identifier">unsigned_to_signed</span>
<span class="special">}</span> <span class="special">;</span>
<span class="special">}</span> <span class="special">}</span> <span class="comment">// namespace boost::numeric
</span></pre>
<span class="special">}</span> <span class="special">}</span> <span class="comment">// namespace boost::numeric</span>
</pre>
</div>
<div class="section" title="enumeration udt_builtin_mixture_enum">
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="boost_numericconversion.conversion_traits___traits_class.types.enumeration_udt_builtin_mixture_enum"></a><a class="link" href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.types.enumeration_udt_builtin_mixture_enum" title="enumeration udt_builtin_mixture_enum">enumeration
udt_builtin_mixture_enum</a>
@ -104,10 +104,10 @@
<span class="special">,</span><span class="identifier">udt_to_udt</span>
<span class="special">}</span> <span class="special">;</span>
<span class="special">}</span> <span class="special">}</span> <span class="comment">// namespace boost::numeric
</span></pre>
<span class="special">}</span> <span class="special">}</span> <span class="comment">// namespace boost::numeric</span>
</pre>
</div>
<div class="section" title="template class int_float_mixture&lt;&gt;">
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="boost_numericconversion.conversion_traits___traits_class.types.template_class_int_float_mixture__"></a><a class="link" href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.types.template_class_int_float_mixture__" title="template class int_float_mixture&lt;&gt;">template
class int_float_mixture&lt;&gt;</a>
@ -117,8 +117,8 @@
<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">S</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">int_float_mixture</span> <span class="special">:</span> <span class="identifier">mpl</span><span class="special">::</span><span class="identifier">integral_c</span><span class="special">&lt;</span><span class="identifier">int_float_mixture_enum</span><span class="special">,</span> <span class="identifier">impl</span><span class="special">-</span><span class="identifier">def</span><span class="special">-</span><span class="identifier">value</span><span class="special">&gt;</span> <span class="special">{}</span> <span class="special">;</span>
<span class="special">}</span> <span class="special">}</span> <span class="comment">// namespace boost::numeric
</span></pre>
<span class="special">}</span> <span class="special">}</span> <span class="comment">// namespace boost::numeric</span>
</pre>
<p>
Classifying <code class="computeroutput"><span class="identifier">S</span></code> and <code class="computeroutput"><span class="identifier">T</span></code> as either integral or float, this
<a href="../../../../../mpl/doc/refmanual/integral-constant.html" target="_top">MPL's
@ -129,7 +129,7 @@
is of enumeration type <a class="link" href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.types.enumeration_int_float_mixture_enum" title="enumeration int_float_mixture_enum"><code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">int_float_mixture_enum</span></code></a>
</p>
</div>
<div class="section" title="template class sign_mixture&lt;&gt;">
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="boost_numericconversion.conversion_traits___traits_class.types.template_class_sign_mixture__"></a><a class="link" href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.types.template_class_sign_mixture__" title="template class sign_mixture&lt;&gt;">template
class sign_mixture&lt;&gt;</a>
@ -139,8 +139,8 @@
<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">S</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">sign_mixture</span> <span class="special">:</span> <span class="identifier">mpl</span><span class="special">::</span><span class="identifier">integral_c</span><span class="special">&lt;</span><span class="identifier">sign_mixture_enum</span><span class="special">,</span> <span class="identifier">impl</span><span class="special">-</span><span class="identifier">def</span><span class="special">-</span><span class="identifier">value</span><span class="special">&gt;</span> <span class="special">{}</span> <span class="special">;</span>
<span class="special">}</span> <span class="special">}</span> <span class="comment">// namespace boost::numeric
</span></pre>
<span class="special">}</span> <span class="special">}</span> <span class="comment">// namespace boost::numeric</span>
</pre>
<p>
Classifying <code class="computeroutput"><span class="identifier">S</span></code> and <code class="computeroutput"><span class="identifier">T</span></code> as either signed or unsigned, this
<a href="../../../../../mpl/doc/refmanual/integral-constant.html" target="_top">MPL's
@ -151,7 +151,7 @@
is of enumeration type <a class="link" href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.types.enumeration_sign_mixture_enum" title="enumeration sign_mixture_enum"><code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">sign_mixture_enum</span></code></a>
</p>
</div>
<div class="section" title="template class udt_builtin_mixture&lt;&gt;">
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="boost_numericconversion.conversion_traits___traits_class.types.template_class_udt_builtin_mixture__"></a><a class="link" href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.types.template_class_udt_builtin_mixture__" title="template class udt_builtin_mixture&lt;&gt;">template
class udt_builtin_mixture&lt;&gt;</a>
@ -161,8 +161,8 @@
<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">S</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">udt_builtin_mixture</span> <span class="special">:</span> <span class="identifier">mpl</span><span class="special">::</span><span class="identifier">integral_c</span><span class="special">&lt;</span><span class="identifier">udt_builtin__mixture_enum</span><span class="special">,</span> <span class="identifier">impl</span><span class="special">-</span><span class="identifier">def</span><span class="special">-</span><span class="identifier">value</span><span class="special">&gt;</span> <span class="special">{}</span> <span class="special">;</span>
<span class="special">}</span> <span class="special">}</span> <span class="comment">// namespace boost::numeric
</span></pre>
<span class="special">}</span> <span class="special">}</span> <span class="comment">// namespace boost::numeric</span>
</pre>
<p>
Classifying <code class="computeroutput"><span class="identifier">S</span></code> and <code class="computeroutput"><span class="identifier">T</span></code> as either user-defined or builtin,
this <a href="../../../../../mpl/doc/refmanual/integral-constant.html" target="_top">MPL's
@ -173,7 +173,7 @@
is of enumeration type <a class="link" href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.types.enumeration_udt_builtin_mixture_enum" title="enumeration udt_builtin_mixture_enum"><code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">udt_builtin_mixture_enum</span></code></a>
</p>
</div>
<div class="section" title="template class is_subranged&lt;&gt;">
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="boost_numericconversion.conversion_traits___traits_class.types.template_class_is_subranged__"></a><a class="link" href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.types.template_class_is_subranged__" title="template class is_subranged&lt;&gt;">template
class is_subranged&lt;&gt;</a>
@ -183,8 +183,8 @@
<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">S</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">is_subranged</span> <span class="special">:</span> <span class="identifier">mpl</span><span class="special">::</span><span class="identifier">bool_</span><span class="special">&lt;</span><span class="identifier">impl</span><span class="special">-</span><span class="identifier">def</span><span class="special">-</span><span class="identifier">value</span><span class="special">&gt;</span> <span class="special">{}</span> <span class="special">;</span>
<span class="special">}</span> <span class="special">}</span> <span class="comment">// namespace boost::numeric
</span></pre>
<span class="special">}</span> <span class="special">}</span> <span class="comment">// namespace boost::numeric</span>
</pre>
<p>
Indicates if the range of the target type <code class="computeroutput"><span class="identifier">T</span></code>
is a subset of the range of the source type <code class="computeroutput"><span class="identifier">S</span></code>.
@ -201,7 +201,7 @@
the source values are representable as Target type.
</p>
</div>
<div class="section" title="template class conversion_traits&lt;&gt;">
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="boost_numericconversion.conversion_traits___traits_class.types.template_class_conversion_traits__"></a><a class="link" href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.types.template_class_conversion_traits__" title="template class conversion_traits&lt;&gt;">template
class conversion_traits&lt;&gt;</a>
@ -226,8 +226,8 @@
<span class="keyword">typedef</span> <span class="special">...</span> <span class="identifier">subtype</span> <span class="special">;</span>
<span class="special">}</span> <span class="special">;</span>
<span class="special">}</span> <span class="special">}</span> <span class="comment">// namespace numeric, namespace boost
</span></pre>
<span class="special">}</span> <span class="special">}</span> <span class="comment">// namespace numeric, namespace boost</span>
</pre>
<p>
This traits class indicates some properties of a <span class="emphasis"><em>numeric conversion</em></span>
direction: from a source type <code class="computeroutput"><span class="identifier">S</span></code>
@ -249,49 +249,45 @@
</colgroup>
<thead><tr>
<th>
<p>
</p>
</th>
<th>
<p>
</p>
</th>
</tr></thead>
<tbody>
<tr>
<td>
<p>
<span class="bold"><strong>int_float_mixture </strong></span>
</p>
<p>
<span class="bold"><strong>int_float_mixture </strong></span>
</p>
</td>
<td>
<p>
Same as given by the traits class <a class="link" href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.types.template_class_int_float_mixture__" title="template class int_float_mixture&lt;&gt;">int_float_mixture</a>
</p>
<p>
Same as given by the traits class <a class="link" href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.types.template_class_int_float_mixture__" title="template class int_float_mixture&lt;&gt;">int_float_mixture</a>
</p>
</td>
</tr>
<tr>
<td>
<p>
<span class="bold"><strong>sign_mixture </strong></span>
</p>
<p>
<span class="bold"><strong>sign_mixture </strong></span>
</p>
</td>
<td>
<p>
Same as given by the traits class <a class="link" href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.types.template_class_sign_mixture__" title="template class sign_mixture&lt;&gt;">sign_mixture</a>
</p>
<p>
Same as given by the traits class <a class="link" href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.types.template_class_sign_mixture__" title="template class sign_mixture&lt;&gt;">sign_mixture</a>
</p>
</td>
</tr>
<tr>
<td>
<p>
<span class="bold"><strong>udt_builtin_mixture </strong></span>
</p>
<p>
<span class="bold"><strong>udt_builtin_mixture </strong></span>
</p>
</td>
<td>
<p>
Same as given by the traits class <a class="link" href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.types.template_class_udt_builtin_mixture__" title="template class udt_builtin_mixture&lt;&gt;">udt_builtin_mixture</a>
</p>
<p>
Same as given by the traits class <a class="link" href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.types.template_class_udt_builtin_mixture__" title="template class udt_builtin_mixture&lt;&gt;">udt_builtin_mixture</a>
</p>
</td>
</tr>
</tbody>
@ -309,42 +305,38 @@
</colgroup>
<thead><tr>
<th>
<p>
</p>
</th>
<th>
<p>
</p>
</th>
</tr></thead>
<tbody>
<tr>
<td>
<p>
subranged
</p>
<p>
subranged
</p>
</td>
<td>
<p>
Same as given by <a class="link" href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.types.template_class_is_subranged__" title="template class is_subranged&lt;&gt;">is_subranged</a>
</p>
<p>
Same as given by <a class="link" href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.types.template_class_is_subranged__" title="template class is_subranged&lt;&gt;">is_subranged</a>
</p>
</td>
</tr>
<tr>
<td>
<p>
trivial
</p>
<p>
trivial
</p>
</td>
<td>
<p>
Indicates if both Source and Target, <span class="underline">without
cv-qualifications</span>, are the same type.
</p>
<p>
Its <code class="computeroutput"><span class="special">::</span><span class="identifier">value</span></code>
is of boolean type.
</p>
<p>
Indicates if both Source and Target, <span class="underline">without
cv-qualifications</span>, are the same type.
</p>
<p>
Its <code class="computeroutput"><span class="special">::</span><span class="identifier">value</span></code>
is of boolean type.
</p>
</td>
</tr>
</tbody>
@ -360,115 +352,111 @@
</colgroup>
<thead><tr>
<th>
<p>
</p>
</th>
<th>
<p>
</p>
</th>
</tr></thead>
<tbody>
<tr>
<td>
<p>
<span class="bold"><strong>target_type</strong></span>
</p>
<p>
<span class="bold"><strong>target_type</strong></span>
</p>
</td>
<td>
<p>
The template parameter <code class="computeroutput"><span class="identifier">T</span></code>
without cv-qualifications
</p>
<p>
The template parameter <code class="computeroutput"><span class="identifier">T</span></code>
without cv-qualifications
</p>
</td>
</tr>
<tr>
<td>
<p>
<span class="bold"><strong>source_type</strong></span>
</p>
<p>
<span class="bold"><strong>source_type</strong></span>
</p>
</td>
<td>
<p>
The template parameter <code class="computeroutput"><span class="identifier">S</span></code>
without cv-qualifications
</p>
<p>
The template parameter <code class="computeroutput"><span class="identifier">S</span></code>
without cv-qualifications
</p>
</td>
</tr>
<tr>
<td>
<p>
<span class="bold"><strong>argument_type</strong></span>
</p>
<p>
<span class="bold"><strong>argument_type</strong></span>
</p>
</td>
<td>
<p>
This type is either source_type or <code class="computeroutput"><span class="identifier">source_type</span>
<span class="keyword">const</span><span class="special">&amp;</span></code>.
</p>
<p>
It represents the optimal argument type for the <a class="link" href="converter___function_object.html" title="converter&lt;&gt; function object">converter</a>
member functions.
</p>
<p>
If S is a built-in type, this is <code class="computeroutput"><span class="identifier">source_type</span></code>,
otherwise, this is <code class="computeroutput"><span class="identifier">source_type</span>
<span class="keyword">const</span><span class="special">&amp;</span></code>.
</p>
<p>
This type is either source_type or <code class="computeroutput"><span class="identifier">source_type</span>
<span class="keyword">const</span><span class="special">&amp;</span></code>.
</p>
<p>
It represents the optimal argument type for the <a class="link" href="converter___function_object.html" title="converter&lt;&gt; function object">converter</a>
member functions.
</p>
<p>
If S is a built-in type, this is <code class="computeroutput"><span class="identifier">source_type</span></code>,
otherwise, this is <code class="computeroutput"><span class="identifier">source_type</span>
<span class="keyword">const</span><span class="special">&amp;</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<span class="bold"><strong>result_type</strong></span>
</p>
<p>
<span class="bold"><strong>result_type</strong></span>
</p>
</td>
<td>
<p>
This type is either target_type or target_type const&amp;
</p>
<p>
It represents the return type of the <a class="link" href="converter___function_object.html" title="converter&lt;&gt; function object">converter</a>
member functions.
</p>
<p>
If <code class="computeroutput"><span class="identifier">T</span><span class="special">==</span><span class="identifier">S</span></code>, it is <code class="computeroutput"><span class="identifier">target_type</span>
<span class="keyword">const</span><span class="special">&amp;</span></code>,
otherwise, it is <code class="computeroutput"><span class="identifier">target_type</span></code>.
</p>
<p>
This type is either target_type or target_type const&amp;
</p>
<p>
It represents the return type of the <a class="link" href="converter___function_object.html" title="converter&lt;&gt; function object">converter</a>
member functions.
</p>
<p>
If <code class="computeroutput"><span class="identifier">T</span><span class="special">==</span><span class="identifier">S</span></code>, it is <code class="computeroutput"><span class="identifier">target_type</span>
<span class="keyword">const</span><span class="special">&amp;</span></code>,
otherwise, it is <code class="computeroutput"><span class="identifier">target_type</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<span class="bold"><strong>supertype</strong></span>
</p>
<p>
<span class="bold"><strong>supertype</strong></span>
</p>
</td>
<td>
<p>
If the conversion is subranged, it is <code class="computeroutput"><span class="identifier">source_type</span></code>,
otherwise, it is <code class="computeroutput"><span class="identifier">target_type</span></code>
</p>
<p>
If the conversion is subranged, it is <code class="computeroutput"><span class="identifier">source_type</span></code>,
otherwise, it is <code class="computeroutput"><span class="identifier">target_type</span></code>
</p>
</td>
</tr>
<tr>
<td>
<p>
<span class="bold"><strong>subtype</strong></span>
</p>
<p>
<span class="bold"><strong>subtype</strong></span>
</p>
</td>
<td>
<p>
If the conversion is subranged, it is <code class="computeroutput"><span class="identifier">target_type</span></code>,
otherwise, it is <code class="computeroutput"><span class="identifier">source_type</span></code>
</p>
<p>
If the conversion is subranged, it is <code class="computeroutput"><span class="identifier">target_type</span></code>,
otherwise, it is <code class="computeroutput"><span class="identifier">source_type</span></code>
</p>
</td>
</tr>
</tbody>
</table></div>
</div>
</div>
<div class="section" title="Examples">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.conversion_traits___traits_class.examples"></a><a class="link" href="conversion_traits___traits_class.html#boost_numericconversion.conversion_traits___traits_class.examples" title="Examples">Examples</a>
</h3></div></div></div>
@ -479,20 +467,20 @@
<span class="keyword">int</span> <span class="identifier">main</span><span class="special">()</span>
<span class="special">{</span>
<span class="comment">// A trivial conversion.
</span> <span class="keyword">typedef</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">conversion_traits</span><span class="special">&lt;</span><span class="keyword">short</span><span class="special">,</span><span class="keyword">short</span><span class="special">&gt;</span> <span class="identifier">Short2Short_Traits</span> <span class="special">;</span>
<span class="comment">// A trivial conversion.</span>
<span class="keyword">typedef</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">conversion_traits</span><span class="special">&lt;</span><span class="keyword">short</span><span class="special">,</span><span class="keyword">short</span><span class="special">&gt;</span> <span class="identifier">Short2Short_Traits</span> <span class="special">;</span>
<span class="identifier">assert</span> <span class="special">(</span> <span class="identifier">Short2Short_Traits</span><span class="special">::</span><span class="identifier">trivial</span><span class="special">::</span><span class="identifier">value</span> <span class="special">)</span> <span class="special">;</span>
<span class="comment">// A subranged conversion.
</span> <span class="keyword">typedef</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">conversion_traits</span><span class="special">&lt;</span><span class="keyword">double</span><span class="special">,</span><span class="keyword">unsigned</span> <span class="keyword">int</span><span class="special">&gt;</span> <span class="identifier">UInt2Double_Traits</span> <span class="special">;</span>
<span class="comment">// A subranged conversion.</span>
<span class="keyword">typedef</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">conversion_traits</span><span class="special">&lt;</span><span class="keyword">double</span><span class="special">,</span><span class="keyword">unsigned</span> <span class="keyword">int</span><span class="special">&gt;</span> <span class="identifier">UInt2Double_Traits</span> <span class="special">;</span>
<span class="identifier">assert</span> <span class="special">(</span> <span class="identifier">UInt2Double_Traits</span><span class="special">::</span><span class="identifier">int_float_mixture</span><span class="special">::</span><span class="identifier">value</span> <span class="special">==</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">integral_to_float</span> <span class="special">)</span> <span class="special">;</span>
<span class="identifier">assert</span> <span class="special">(</span> <span class="identifier">UInt2Double_Traits</span><span class="special">::</span><span class="identifier">sign_mixture</span><span class="special">::</span><span class="identifier">value</span> <span class="special">==</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">unsigned_to_signed</span> <span class="special">)</span> <span class="special">;</span>
<span class="identifier">assert</span> <span class="special">(</span> <span class="special">!</span><span class="identifier">UInt2Double_Traits</span><span class="special">::</span><span class="identifier">subranged</span><span class="special">::</span><span class="identifier">value</span> <span class="special">)</span> <span class="special">;</span>
<span class="identifier">assert</span> <span class="special">(</span> <span class="keyword">typeid</span><span class="special">(</span><span class="identifier">UInt2Double_Traits</span><span class="special">::</span><span class="identifier">supertype</span><span class="special">)</span> <span class="special">==</span> <span class="keyword">typeid</span><span class="special">(</span><span class="keyword">double</span><span class="special">)</span> <span class="special">)</span> <span class="special">;</span>
<span class="identifier">assert</span> <span class="special">(</span> <span class="keyword">typeid</span><span class="special">(</span><span class="identifier">UInt2Double_Traits</span><span class="special">::</span><span class="identifier">subtype</span><span class="special">)</span> <span class="special">==</span> <span class="keyword">typeid</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="keyword">int</span><span class="special">)</span> <span class="special">)</span> <span class="special">;</span>
<span class="comment">// A doubly subranged conversion.
</span> <span class="identifier">assert</span> <span class="special">(</span> <span class="special">(</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">conversion_traits</span><span class="special">&lt;</span><span class="keyword">short</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="keyword">short</span><span class="special">&gt;::</span><span class="identifier">subranged</span><span class="special">::</span><span class="identifier">value</span><span class="special">)</span> <span class="special">);</span>
<span class="comment">// A doubly subranged conversion.</span>
<span class="identifier">assert</span> <span class="special">(</span> <span class="special">(</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">conversion_traits</span><span class="special">&lt;</span><span class="keyword">short</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="keyword">short</span><span class="special">&gt;::</span><span class="identifier">subranged</span><span class="special">::</span><span class="identifier">value</span><span class="special">)</span> <span class="special">);</span>
<span class="identifier">assert</span> <span class="special">(</span> <span class="special">(</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">conversion_traits</span><span class="special">&lt;</span><span class="keyword">unsigned</span> <span class="keyword">short</span><span class="special">,</span> <span class="keyword">short</span><span class="special">&gt;::</span><span class="identifier">subranged</span><span class="special">::</span><span class="identifier">value</span><span class="special">)</span> <span class="special">);</span>
<span class="keyword">return</span> <span class="number">0</span><span class="special">;</span>
@ -502,7 +490,8 @@
</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 © 2004 -2007 Fernando Luis Cacciola Carballal<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2004-2007 Fernando
Luis Cacciola Carballal<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>
@ -510,7 +499,7 @@
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<div class="section" title="converter&lt;&gt; function object">
<div class="section">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="boost_numericconversion.converter___function_object"></a><a class="link" href="converter___function_object.html" title="converter&lt;&gt; function object">converter&lt;&gt;
function object</a>
</h2></div></div></div>
<div class="toc"><dl>
<div class="toc"><dl class="toc">
<dt><span class="section"><a href="converter___function_object.html#boost_numericconversion.converter___function_object.synopsis">Synopsis</a></span></dt>
<dt><span class="section"><a href="converter___function_object.html#boost_numericconversion.converter___function_object.template_parameters">Template
parameters</a></span></dt>
@ -37,7 +37,7 @@
Checking Logic</a></span></dt>
<dt><span class="section"><a href="converter___function_object.html#boost_numericconversion.converter___function_object.examples">Examples</a></span></dt>
</dl></div>
<div class="section" title="Synopsis">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.converter___function_object.synopsis"></a><a class="link" href="converter___function_object.html#boost_numericconversion.converter___function_object.synopsis" title="Synopsis">Synopsis</a>
</h3></div></div></div>
@ -64,8 +64,8 @@
<span class="identifier">result_type</span> <span class="keyword">operator</span><span class="special">()</span> <span class="special">(</span> <span class="identifier">argument_type</span> <span class="identifier">s</span> <span class="special">)</span> <span class="keyword">const</span> <span class="special">;</span>
<span class="comment">// Internal member functions:
</span>
<span class="comment">// Internal member functions:</span>
<span class="keyword">static</span> <span class="identifier">range_check_result</span> <span class="identifier">out_of_range</span> <span class="special">(</span> <span class="identifier">argument_type</span> <span class="identifier">s</span> <span class="special">)</span> <span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">void</span> <span class="identifier">validate_range</span> <span class="special">(</span> <span class="identifier">argument_type</span> <span class="identifier">s</span> <span class="special">)</span> <span class="special">;</span>
<span class="keyword">static</span> <span class="identifier">result_type</span> <span class="identifier">low_level_convert</span> <span class="special">(</span> <span class="identifier">argument_type</span> <span class="identifier">s</span> <span class="special">)</span> <span class="special">;</span>
@ -73,8 +73,8 @@
<span class="special">}</span> <span class="special">;</span>
<span class="special">}</span> <span class="special">}</span> <span class="comment">// namespace numeric, boost
</span></pre>
<span class="special">}</span> <span class="special">}</span> <span class="comment">// namespace numeric, boost</span>
</pre>
<p>
<code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">converter</span><span class="special">&lt;&gt;</span></code>
is a <a href="http://www.sgi.com/tech/stl/UnaryFunction.html" target="_top">Unary Function
@ -85,7 +85,7 @@
parameter is not a policy but the parameter that defines the conversion.
</p>
</div>
<div class="section" title="Template parameters">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.converter___function_object.template_parameters"></a><a class="link" href="converter___function_object.html#boost_numericconversion.converter___function_object.template_parameters" title="Template parameters">Template
parameters</a>
@ -97,144 +97,132 @@
</colgroup>
<thead><tr>
<th>
<p>
</p>
</th>
<th>
<p>
</p>
</th>
</tr></thead>
<tbody>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">T</span></code>
</p>
<p>
<code class="computeroutput"><span class="identifier">T</span></code>
</p>
</td>
<td>
<p>
The <a class="link" href="definitions.html#boost_numericconversion.definitions.numeric_types" title="Numeric Types">Numeric
Type</a> which is the <span class="emphasis"><em>Target</em></span> of the conversion.
</p>
<p>
The <a class="link" href="definitions.html#boost_numericconversion.definitions.numeric_types" title="Numeric Types">Numeric
Type</a> which is the <span class="emphasis"><em>Target</em></span> of the conversion.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">S</span></code>
</p>
<p>
<code class="computeroutput"><span class="identifier">S</span></code>
</p>
</td>
<td>
<p>
The <a class="link" href="definitions.html#boost_numericconversion.definitions.numeric_types" title="Numeric Types">Numeric
Type</a> which is the <span class="emphasis"><em>Source</em></span> of the conversion.
</p>
<p>
The <a class="link" href="definitions.html#boost_numericconversion.definitions.numeric_types" title="Numeric Types">Numeric
Type</a> which is the <span class="emphasis"><em>Source</em></span> of the conversion.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">Traits</span></code>
</p>
<p>
<code class="computeroutput"><span class="identifier">Traits</span></code>
</p>
</td>
<td>
<p>
This must be a conversion traits class with the interface of <a class="link" href="conversion_traits___traits_class.html" title="conversion_traits&lt;&gt; traits class"><code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">conversion_traits</span></code></a>
</p>
<p>
This must be a conversion traits class with the interface of <a class="link" href="conversion_traits___traits_class.html" title="conversion_traits&lt;&gt; traits class"><code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">conversion_traits</span></code></a>
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">OverflowHandler</span></code>
</p>
<p>
<code class="computeroutput"><span class="identifier">OverflowHandler</span></code>
</p>
</td>
<td>
<p>
<span class="bold"><strong>Stateless Policy</strong></span> called to administrate
the result of the range checking.
</p>
<p>
It is a <span class="bold"><strong>Function Object</strong></span> which receives
the result of <code class="computeroutput"><span class="identifier">out_of_range</span><span class="special">()</span></code> and is called inside the <code class="computeroutput"><span class="identifier">validate_range</span><span class="special">()</span></code>
static member function exposed by the converter.
</p>
<p>
<span class="bold"><strong>Stateless Policy</strong></span> called to administrate
the result of the range checking.
</p>
<p>
It is a <span class="bold"><strong>Function Object</strong></span> which
receives the result of <code class="computeroutput"><span class="identifier">out_of_range</span><span class="special">()</span></code> and is called inside the <code class="computeroutput"><span class="identifier">validate_range</span><span class="special">()</span></code>
static member function exposed by the converter.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">Float2IntRounder</span></code>
</p>
<p>
<code class="computeroutput"><span class="identifier">Float2IntRounder</span></code>
</p>
</td>
<td>
<p>
<span class="bold"><strong>Stateless Policy</strong></span> which specifies
the rounding mode used for float to integral conversions.
</p>
<p>
It supplies the <code class="computeroutput"><span class="identifier">nearbyint</span><span class="special">()</span></code> static member function exposed
by the converter.
</p>
<p>
<span class="bold"><strong>Stateless Policy</strong></span> which specifies
the rounding mode used for float to integral conversions.
</p>
<p>
It supplies the <code class="computeroutput"><span class="identifier">nearbyint</span><span class="special">()</span></code> static member function exposed
by the converter.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">RawConverter</span></code>
</p>
<p>
<code class="computeroutput"><span class="identifier">RawConverter</span></code>
</p>
</td>
<td>
<p>
<span class="bold"><strong>Stateless Policy</strong></span> which is used to
perform the actual conversion.
</p>
<p>
It supplies the <code class="computeroutput"><span class="identifier">low_level_convert</span><span class="special">()</span></code> static member function exposed
by the converter.
</p>
<p>
<span class="bold"><strong>Stateless Policy</strong></span> which is used
to perform the actual conversion.
</p>
<p>
It supplies the <code class="computeroutput"><span class="identifier">low_level_convert</span><span class="special">()</span></code> static member function exposed
by the converter.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">UserRangeChecker</span></code>
</p>
<p>
<code class="computeroutput"><span class="identifier">UserRangeChecker</span></code>
</p>
</td>
<td>
<p>
<span class="emphasis"><em>Special and Optional</em></span> <span class="bold"><strong>Stateless
Policy</strong></span> which can be used to override the internal range
checking logic.
</p>
<p>
If given, supplies alternative code for the <code class="computeroutput"><span class="identifier">out_of_range</span><span class="special">()</span></code> and <code class="computeroutput"><span class="identifier">validate_range</span><span class="special">()</span></code> static member functions exposed
by the converter.
</p>
<p>
<span class="emphasis"><em>Special and Optional</em></span> <span class="bold"><strong>Stateless
Policy</strong></span> which can be used to override the internal range
checking logic.
</p>
<p>
If given, supplies alternative code for the <code class="computeroutput"><span class="identifier">out_of_range</span><span class="special">()</span></code> and <code class="computeroutput"><span class="identifier">validate_range</span><span class="special">()</span></code> static member functions exposed
by the converter.
</p>
</td>
</tr>
</tbody>
</table></div>
</div>
<div class="section" title="Member functions">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.converter___function_object.member_functions"></a><a class="link" href="converter___function_object.html#boost_numericconversion.converter___function_object.member_functions" title="Member functions">Member
functions</a>
</h3></div></div></div>
<div class="blockquote"><blockquote class="blockquote">
<p>
</p>
<p>
<code class="computeroutput"><span class="keyword">static</span> <span class="identifier">result_type</span>
<span class="identifier">converter</span><span class="special">&lt;&gt;::</span><span class="identifier">convert</span> <span class="special">(</span>
<span class="identifier">argument_type</span> <span class="identifier">s</span>
<span class="special">)</span> <span class="special">;</span>
<span class="comment">// throw </span></code>
</p>
<p>
</p>
</blockquote></div>
<div class="blockquote"><blockquote class="blockquote"><p>
<code class="computeroutput"><span class="keyword">static</span> <span class="identifier">result_type</span>
<span class="identifier">converter</span><span class="special">&lt;&gt;::</span><span class="identifier">convert</span> <span class="special">(</span> <span class="identifier">argument_type</span> <span class="identifier">s</span>
<span class="special">)</span> <span class="special">;</span> <span class="comment">// throw</span> </code>
</p></blockquote></div>
<p>
This static member function converts an rvalue of type <code class="computeroutput"><span class="identifier">source_type</span></code>
to an rvalue of type <code class="computeroutput"><span class="identifier">target_type</span></code>.
@ -250,15 +238,15 @@
</p>
<pre class="programlisting"><span class="identifier">result_type</span> <span class="identifier">converter</span><span class="special">&lt;&gt;::</span><span class="identifier">convert</span> <span class="special">(</span> <span class="identifier">argument_type</span> <span class="identifier">s</span> <span class="special">)</span>
<span class="special">{</span>
<span class="identifier">validate_range</span><span class="special">(</span><span class="identifier">s</span><span class="special">);</span> <span class="comment">// Implemented by the internal range checking logic
</span> <span class="comment">// (which also calls the OverflowHandler policy)
</span> <span class="comment">// or externally supplied by the UserRangeChecker policy.
</span>
<span class="identifier">s</span> <span class="special">=</span> <span class="identifier">nearbyint</span><span class="special">(</span><span class="identifier">s</span><span class="special">);</span> <span class="comment">// Externally supplied by the Float2IntRounder policy.
</span> <span class="comment">// NOTE: This is actually called only for float to int conversions.
</span>
<span class="keyword">return</span> <span class="identifier">low_level_convert</span><span class="special">(</span><span class="identifier">s</span><span class="special">);</span> <span class="comment">// Externally supplied by the RawConverter policy.
</span><span class="special">}</span>
<span class="identifier">validate_range</span><span class="special">(</span><span class="identifier">s</span><span class="special">);</span> <span class="comment">// Implemented by the internal range checking logic</span>
<span class="comment">// (which also calls the OverflowHandler policy)</span>
<span class="comment">// or externally supplied by the UserRangeChecker policy.</span>
<span class="identifier">s</span> <span class="special">=</span> <span class="identifier">nearbyint</span><span class="special">(</span><span class="identifier">s</span><span class="special">);</span> <span class="comment">// Externally supplied by the Float2IntRounder policy.</span>
<span class="comment">// NOTE: This is actually called only for float to int conversions.</span>
<span class="keyword">return</span> <span class="identifier">low_level_convert</span><span class="special">(</span><span class="identifier">s</span><span class="special">);</span> <span class="comment">// Externally supplied by the RawConverter policy.</span>
<span class="special">}</span>
</pre>
<p>
<code class="computeroutput"><span class="identifier">converter</span><span class="special">&lt;&gt;::</span><span class="keyword">operator</span><span class="special">()</span> <span class="keyword">const</span></code> just calls <code class="computeroutput"><span class="identifier">convert</span><span class="special">()</span></code>
@ -266,18 +254,12 @@
<p>
<span class="inlinemediaobject"><img src="../images/space.png" alt="space"></span>
</p>
<div class="blockquote"><blockquote class="blockquote">
<p>
</p>
<p>
<code class="computeroutput"><span class="keyword">static</span> <span class="identifier">range_check_result</span>
<span class="identifier">numeric_converter</span><span class="special">&lt;&gt;::</span><span class="identifier">out_of_range</span> <span class="special">(</span>
<span class="identifier">argument_type</span> <span class="identifier">s</span>
<span class="special">)</span> <span class="special">;</span></code>
</p>
<p>
</p>
</blockquote></div>
<div class="blockquote"><blockquote class="blockquote"><p>
<code class="computeroutput"><span class="keyword">static</span> <span class="identifier">range_check_result</span>
<span class="identifier">numeric_converter</span><span class="special">&lt;&gt;::</span><span class="identifier">out_of_range</span> <span class="special">(</span>
<span class="identifier">argument_type</span> <span class="identifier">s</span>
<span class="special">)</span> <span class="special">;</span></code>
</p></blockquote></div>
<p>
This <a class="link" href="converter___function_object.html#numeric_conversion_converter_internal">internal</a>
static member function determines if the value <code class="computeroutput"><span class="identifier">s</span></code>
@ -309,19 +291,12 @@
<p>
<span class="inlinemediaobject"><img src="../images/space.png" alt="space"></span>
</p>
<div class="blockquote"><blockquote class="blockquote">
<p>
</p>
<p>
<code class="computeroutput"><span class="keyword">static</span> <span class="keyword">void</span>
<span class="identifier">numeric_converter</span><span class="special">&lt;&gt;::</span><span class="identifier">validate_range</span> <span class="special">(</span>
<span class="identifier">argument_type</span> <span class="identifier">s</span>
<span class="special">)</span> <span class="special">;</span>
<span class="comment">// no throw </span></code>
</p>
<p>
</p>
</blockquote></div>
<div class="blockquote"><blockquote class="blockquote"><p>
<code class="computeroutput"><span class="keyword">static</span> <span class="keyword">void</span>
<span class="identifier">numeric_converter</span><span class="special">&lt;&gt;::</span><span class="identifier">validate_range</span> <span class="special">(</span>
<span class="identifier">argument_type</span> <span class="identifier">s</span>
<span class="special">)</span> <span class="special">;</span> <span class="comment">// no throw</span> </code>
</p></blockquote></div>
<p>
This <a class="link" href="converter___function_object.html#numeric_conversion_converter_internal">internal</a>
static member function calls out_of_range(s), and passes the result to the
@ -342,18 +317,12 @@
<p>
<span class="inlinemediaobject"><img src="../images/space.png" alt="space"></span>
</p>
<div class="blockquote"><blockquote class="blockquote">
<p>
</p>
<p>
<code class="computeroutput"><span class="keyword">static</span> <span class="identifier">result_type</span>
<span class="identifier">numeric_converter</span><span class="special">&lt;&gt;::</span><span class="identifier">low_level_convert</span> <span class="special">(</span>
<span class="identifier">argument_type</span> <span class="identifier">s</span>
<span class="special">)</span> <span class="special">;</span></code>
</p>
<p>
</p>
</blockquote></div>
<div class="blockquote"><blockquote class="blockquote"><p>
<code class="computeroutput"><span class="keyword">static</span> <span class="identifier">result_type</span>
<span class="identifier">numeric_converter</span><span class="special">&lt;&gt;::</span><span class="identifier">low_level_convert</span> <span class="special">(</span>
<span class="identifier">argument_type</span> <span class="identifier">s</span>
<span class="special">)</span> <span class="special">;</span></code>
</p></blockquote></div>
<p>
This <a class="link" href="converter___function_object.html#numeric_conversion_converter_internal">internal</a>
static member function performs the actual conversion.
@ -365,18 +334,12 @@
<p>
<span class="inlinemediaobject"><img src="../images/space.png" alt="space"></span>
</p>
<div class="blockquote"><blockquote class="blockquote">
<p>
</p>
<p>
<code class="computeroutput"><span class="keyword">static</span> <span class="identifier">source_type</span>
<span class="identifier">converter</span><span class="special">&lt;&gt;::</span><span class="identifier">nearbyint</span> <span class="special">(</span>
<span class="identifier">argument_type</span> <span class="identifier">s</span>
<span class="special">)</span> <span class="special">;</span></code>
</p>
<p>
</p>
</blockquote></div>
<div class="blockquote"><blockquote class="blockquote"><p>
<code class="computeroutput"><span class="keyword">static</span> <span class="identifier">source_type</span>
<span class="identifier">converter</span><span class="special">&lt;&gt;::</span><span class="identifier">nearbyint</span> <span class="special">(</span>
<span class="identifier">argument_type</span> <span class="identifier">s</span>
<span class="special">)</span> <span class="special">;</span></code>
</p></blockquote></div>
<p>
This <a class="link" href="converter___function_object.html#numeric_conversion_converter_internal">internal</a>
static member function, which is <span class="underline">only used</span>
@ -391,11 +354,9 @@
<p>
<span class="inlinemediaobject"><img src="../images/space.png" alt="space"></span>
</p>
<a name="numeric_conversion_converter_internal"></a><p>
</p>
<a name="boost_numericconversion.converter___function_object.member_functions.internal_member_functions"></a><h5>
<a name="id563268"></a>
<a class="link" href="converter___function_object.html#boost_numericconversion.converter___function_object.member_functions.internal_member_functions">Internal
<a name="numeric_conversion_converter_internal"></a><h5>
<a name="boost_numericconversion.converter___function_object.member_functions.h0"></a>
<span class="phrase"><a name="boost_numericconversion.converter___function_object.member_functions.internal_member_functions"></a></span><a class="link" href="converter___function_object.html#boost_numericconversion.converter___function_object.member_functions.internal_member_functions">Internal
Member Functions</a>
</h5>
<p>
@ -404,7 +365,7 @@
called separately for specific needs.
</p>
</div>
<div class="section" title="Range Checking Logic">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.converter___function_object.range_checking_logic"></a><a class="link" href="converter___function_object.html#boost_numericconversion.converter___function_object.range_checking_logic" title="Range Checking Logic">Range
Checking Logic</a>
@ -453,7 +414,7 @@ float_to_float |--&gt; subranged |--&gt; ( s &gt;= S(LowestT) ) &amp;&amp; (
</code>
</pre>
</div>
<div class="section" title="Examples">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.converter___function_object.examples"></a><a class="link" href="converter___function_object.html#boost_numericconversion.converter___function_object.examples" title="Examples">Examples</a>
</h3></div></div></div>
@ -467,14 +428,14 @@ float_to_float |--&gt; subranged |--&gt; ( s &gt;= S(LowestT) ) &amp;&amp; (
<span class="keyword">int</span> <span class="identifier">x</span> <span class="special">=</span> <span class="identifier">Double2Int</span><span class="special">::</span><span class="identifier">convert</span><span class="special">(</span><span class="number">2.0</span><span class="special">);</span>
<span class="identifier">assert</span> <span class="special">(</span> <span class="identifier">x</span> <span class="special">==</span> <span class="number">2</span> <span class="special">);</span>
<span class="keyword">int</span> <span class="identifier">y</span> <span class="special">=</span> <span class="identifier">Double2Int</span><span class="special">()(</span><span class="number">3.14</span><span class="special">);</span> <span class="comment">// As a function object.
</span> <span class="identifier">assert</span> <span class="special">(</span> <span class="identifier">y</span> <span class="special">==</span> <span class="number">3</span> <span class="special">)</span> <span class="special">;</span> <span class="comment">// The default rounding is trunc.
</span>
<span class="keyword">int</span> <span class="identifier">y</span> <span class="special">=</span> <span class="identifier">Double2Int</span><span class="special">()(</span><span class="number">3.14</span><span class="special">);</span> <span class="comment">// As a function object.</span>
<span class="identifier">assert</span> <span class="special">(</span> <span class="identifier">y</span> <span class="special">==</span> <span class="number">3</span> <span class="special">)</span> <span class="special">;</span> <span class="comment">// The default rounding is trunc.</span>
<span class="keyword">try</span>
<span class="special">{</span>
<span class="keyword">double</span> <span class="identifier">m</span> <span class="special">=</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">bounds</span><span class="special">&lt;</span><span class="keyword">double</span><span class="special">&gt;::</span><span class="identifier">highest</span><span class="special">();</span>
<span class="keyword">int</span> <span class="identifier">z</span> <span class="special">=</span> <span class="identifier">Double2Int</span><span class="special">::</span><span class="identifier">convert</span><span class="special">(</span><span class="identifier">m</span><span class="special">);</span> <span class="comment">// By default throws positive_overflow()
</span> <span class="special">}</span>
<span class="keyword">int</span> <span class="identifier">z</span> <span class="special">=</span> <span class="identifier">Double2Int</span><span class="special">::</span><span class="identifier">convert</span><span class="special">(</span><span class="identifier">m</span><span class="special">);</span> <span class="comment">// By default throws positive_overflow()</span>
<span class="special">}</span>
<span class="keyword">catch</span> <span class="special">(</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">positive_overflow</span> <span class="keyword">const</span><span class="special">&amp;</span> <span class="special">)</span>
<span class="special">{</span>
<span class="special">}</span>
@ -486,7 +447,8 @@ float_to_float |--&gt; subranged |--&gt; ( s &gt;= S(LowestT) ) &amp;&amp; (
</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 © 2004 -2007 Fernando Luis Cacciola Carballal<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2004-2007 Fernando
Luis Cacciola Carballal<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>
@ -494,7 +456,7 @@ float_to_float |--&gt; subranged |--&gt; ( s &gt;= S(LowestT) ) &amp;&amp; (
</tr></table>
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<div class="section" title="Definitions">
<div class="section">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="boost_numericconversion.definitions"></a><a class="link" href="definitions.html" title="Definitions">Definitions</a>
</h2></div></div></div>
<div class="toc"><dl>
<div class="toc"><dl class="toc">
<dt><span class="section"><a href="definitions.html#boost_numericconversion.definitions.introduction">Introduction</a></span></dt>
<dt><span class="section"><a href="definitions.html#boost_numericconversion.definitions.types_and_values">Types
and Values</a></span></dt>
@ -43,7 +43,7 @@
<dt><span class="section"><a href="definitions.html#boost_numericconversion.definitions.subranged_conversion_direction__subtype_and_supertype">Subranged
Conversion Direction, Subtype and Supertype</a></span></dt>
</dl></div>
<div class="section" title="Introduction">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.definitions.introduction"></a><a class="link" href="definitions.html#boost_numericconversion.definitions.introduction" title="Introduction">Introduction</a>
</h3></div></div></div>
@ -52,7 +52,7 @@
library.
</p>
<div class="sidebar">
<p class="title"><b></b></p>
<div class="titlepage"></div>
<p>
<span class="bold"><strong>Notation</strong></span> <span class="underline">underlined
text</span> denotes terms defined in the C++ standard.
@ -63,20 +63,20 @@
</p>
</div>
</div>
<div class="section" title="Types and Values">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.definitions.types_and_values"></a><a class="link" href="definitions.html#boost_numericconversion.definitions.types_and_values" title="Types and Values">Types
and Values</a>
</h3></div></div></div>
<p>
As defined by the <span class="underline">C++ Object Model</span>
(§1.7) the <span class="underline">storage</span> or memory on which
(&#167;1.7) the <span class="underline">storage</span> or memory on which
a C++ program runs is a contiguous sequence of <span class="underline">bytes</span>
where each byte is a contiguous sequence of bits.
</p>
<p>
An <span class="underline">object</span> is a region of storage (§1.8)
and has a type (§3.9).
An <span class="underline">object</span> is a region of storage (&#167;1.8)
and has a type (&#167;3.9).
</p>
<p>
A <span class="underline">type</span> is a discrete set of values.
@ -84,13 +84,13 @@
<p>
An object of type <code class="computeroutput"><span class="identifier">T</span></code> has an
<span class="underline">object representation</span> which is the
sequence of bytes stored in the object (§3.9/4)
sequence of bytes stored in the object (&#167;3.9/4)
</p>
<p>
An object of type <code class="computeroutput"><span class="identifier">T</span></code> has a
<span class="underline">value representation</span> which is the set
of bits that determine the <span class="emphasis"><em>value</em></span> of an object of that
type (§3.9/4). For <span class="underline">POD</span> types (§3.9/10),
type (&#167;3.9/4). For <span class="underline">POD</span> types (&#167;3.9/10),
this bitset is given by the object representation, but not all the bits in
the storage need to participate in the value representation (except for character
types): for example, some bits might be used for padding or there may be
@ -160,57 +160,53 @@
of this document.
</p>
</div>
<div class="section" title="C++ Arithmetic Types">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.definitions.c___arithmetic_types"></a><a class="link" href="definitions.html#boost_numericconversion.definitions.c___arithmetic_types" title="C++ Arithmetic Types">C++
Arithmetic Types</a>
</h3></div></div></div>
<p>
The C++ language defines <span class="underline">fundamental types</span>
(§3.9.1). The following subsets of the fundamental types are intended to
(&#167;3.9.1). The following subsets of the fundamental types are intended to
represent <span class="emphasis"><em>numbers</em></span>:
</p>
<div class="variablelist">
<p class="title"><b></b></p>
<dl>
<dt><span class="term"><span class="underline">signed integer
types</span> (§3.9.1/2):</span></dt>
<dl class="variablelist">
<dt><span class="term"><span class="underline">signed integer types</span> (&#167;3.9.1/2):</span></dt>
<dd><p>
<code class="computeroutput"><span class="special">{</span><span class="keyword">signed</span>
<span class="keyword">char</span><span class="special">,</span>
<span class="keyword">signed</span> <span class="keyword">short</span>
<span class="keyword">int</span><span class="special">,</span>
<span class="keyword">signed</span> <span class="keyword">int</span><span class="special">,</span> <span class="keyword">signed</span> <span class="keyword">long</span> <span class="keyword">int</span><span class="special">}</span></code> Can be used to represent general integer
numbers (both negative and positive).
</p></dd>
<dt><span class="term"><span class="underline">unsigned integer
types</span> (§3.9.1/3):</span></dt>
<code class="computeroutput"><span class="special">{</span><span class="keyword">signed</span>
<span class="keyword">char</span><span class="special">,</span>
<span class="keyword">signed</span> <span class="keyword">short</span>
<span class="keyword">int</span><span class="special">,</span>
<span class="keyword">signed</span> <span class="keyword">int</span><span class="special">,</span> <span class="keyword">signed</span> <span class="keyword">long</span> <span class="keyword">int</span><span class="special">}</span></code> Can be used to represent general integer
numbers (both negative and positive).
</p></dd>
<dt><span class="term"><span class="underline">unsigned integer types</span> (&#167;3.9.1/3):</span></dt>
<dd><p>
<code class="computeroutput"><span class="special">{</span><span class="keyword">unsigned</span>
<span class="keyword">char</span><span class="special">,</span>
<span class="keyword">unsigned</span> <span class="keyword">short</span>
<span class="keyword">int</span><span class="special">,</span>
<span class="keyword">unsigned</span> <span class="keyword">int</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="keyword">long</span> <span class="keyword">int</span><span class="special">}</span></code> Can be used to represent positive integer
numbers with modulo-arithmetic.
</p></dd>
<dt><span class="term"><span class="underline">floating-point
types</span>3.9.1/8):</span></dt>
<code class="computeroutput"><span class="special">{</span><span class="keyword">unsigned</span>
<span class="keyword">char</span><span class="special">,</span>
<span class="keyword">unsigned</span> <span class="keyword">short</span>
<span class="keyword">int</span><span class="special">,</span>
<span class="keyword">unsigned</span> <span class="keyword">int</span><span class="special">,</span> <span class="keyword">unsigned</span>
<span class="keyword">long</span> <span class="keyword">int</span><span class="special">}</span></code> Can be used to represent positive
integer numbers with modulo-arithmetic.
</p></dd>
<dt><span class="term"><span class="underline">floating-point types</span> (&#167;3.9.1/8):</span></dt>
<dd><p>
<code class="computeroutput"><span class="special">{</span><span class="keyword">float</span><span class="special">,</span><span class="keyword">double</span><span class="special">,</span><span class="keyword">long</span> <span class="keyword">double</span><span class="special">}</span></code>
Can be used to represent real numbers.
</p></dd>
<dt><span class="term"><span class="underline">integral or
integer types</span> (§3.9.1/7):</span></dt>
<code class="computeroutput"><span class="special">{</span><span class="keyword">float</span><span class="special">,</span><span class="keyword">double</span><span class="special">,</span><span class="keyword">long</span> <span class="keyword">double</span><span class="special">}</span></code>
Can be used to represent real numbers.
</p></dd>
<dt><span class="term"><span class="underline">integral or integer types</span> (&#167;3.9.1/7):</span></dt>
<dd><p>
<code class="computeroutput"><span class="special">{{</span><span class="keyword">signed</span>
<span class="identifier">integers</span><span class="special">},{</span><span class="keyword">unsigned</span> <span class="identifier">integers</span><span class="special">},</span> <span class="keyword">bool</span><span class="special">,</span> <span class="keyword">char</span> <span class="keyword">and</span> <span class="keyword">wchar_t</span><span class="special">}</span></code>
</p></dd>
<dt><span class="term"><span class="underline">arithmetic
types</span> (§3.9.1/8):</span></dt>
<code class="computeroutput"><span class="special">{{</span><span class="keyword">signed</span>
<span class="identifier">integers</span><span class="special">},{</span><span class="keyword">unsigned</span> <span class="identifier">integers</span><span class="special">},</span> <span class="keyword">bool</span><span class="special">,</span> <span class="keyword">char</span> <span class="keyword">and</span> <span class="keyword">wchar_t</span><span class="special">}</span></code>
</p></dd>
<dt><span class="term"><span class="underline">arithmetic types</span> (&#167;3.9.1/8):</span></dt>
<dd><p>
<code class="computeroutput"><span class="special">{{</span><span class="identifier">integer</span>
<span class="identifier">types</span><span class="special">},{</span><span class="identifier">floating</span> <span class="identifier">types</span><span class="special">}}</span></code>
</p></dd>
<code class="computeroutput"><span class="special">{{</span><span class="identifier">integer</span>
<span class="identifier">types</span><span class="special">},{</span><span class="identifier">floating</span> <span class="identifier">types</span><span class="special">}}</span></code>
</p></dd>
</dl>
</div>
<p>
@ -222,9 +218,9 @@
or <code class="computeroutput"><span class="keyword">long</span></code>) are required to have
the same value representation, that is:
</p>
<pre class="programlisting"> <span class="keyword">int</span> <span class="identifier">i</span> <span class="special">=</span> <span class="special">-</span><span class="number">3</span> <span class="special">;</span> <span class="comment">// suppose value representation is: 10011 (sign bit + 4 magnitude bits)
</span><span class="keyword">unsigned</span> <span class="keyword">int</span> <span class="identifier">u</span> <span class="special">=</span> <span class="identifier">i</span> <span class="special">;</span> <span class="comment">// u is required to have the same 10011 as its value representation.
</span></pre>
<pre class="programlisting"> <span class="keyword">int</span> <span class="identifier">i</span> <span class="special">=</span> <span class="special">-</span><span class="number">3</span> <span class="special">;</span> <span class="comment">// suppose value representation is: 10011 (sign bit + 4 magnitude bits)</span>
<span class="keyword">unsigned</span> <span class="keyword">int</span> <span class="identifier">u</span> <span class="special">=</span> <span class="identifier">i</span> <span class="special">;</span> <span class="comment">// u is required to have the same 10011 as its value representation.</span>
</pre>
<p>
In other words, the integer types signed/unsigned X use the same value representation
but a different <span class="emphasis"><em>interpretation</em></span> of it; that is, their
@ -232,11 +228,11 @@
</p>
<p>
Another consequence of this is that the range for signed X is always a smaller
subset of the range of unsigned X, as required by §3.9.1/3.
subset of the range of unsigned X, as required by &#167;3.9.1/3.
</p>
<div class="note" title="Note"><table border="0" summary="Note">
<div class="note"><table border="0" summary="Note">
<tr>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../../../doc/html/images/note.png"></td>
<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">
@ -257,7 +253,7 @@
</td></tr>
</table></div>
</div>
<div class="section" title="Numeric Types">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.definitions.numeric_types"></a><a class="link" href="definitions.html#boost_numericconversion.definitions.numeric_types" title="Numeric Types">Numeric
Types</a>
@ -275,30 +271,30 @@
<p>
A type is <span class="bold"><strong>numeric</strong></span> if:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
It is an arithmetic type, or,
</li>
It is an arithmetic type, or,
</li>
<li class="listitem">
It is a user-defined type which
<div class="itemizedlist"><ul class="itemizedlist" type="circle">
It is a user-defined type which
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: circle; ">
<li class="listitem">
Represents numeric abstract values (i.e. numbers).
</li>
Represents numeric abstract values (i.e. numbers).
</li>
<li class="listitem">
Can be converted (either implicitly or explicitly) to/from at least
one arithmetic type.
</li>
Can be converted (either implicitly or explicitly) to/from at least
one arithmetic type.
</li>
<li class="listitem">
Has <a class="link" href="definitions.html#boost_numericconversion.definitions.range_and_precision" title="Range and Precision">range</a>
(possibly unbounded) and <a class="link" href="definitions.html#boost_numericconversion.definitions.range_and_precision" title="Range and Precision">precision</a>
(possibly dynamic or unlimited).
</li>
Has <a class="link" href="definitions.html#boost_numericconversion.definitions.range_and_precision" title="Range and Precision">range</a>
(possibly unbounded) and <a class="link" href="definitions.html#boost_numericconversion.definitions.range_and_precision" title="Range and Precision">precision</a>
(possibly dynamic or unlimited).
</li>
<li class="listitem">
Provides an specialization of <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span></code>.
</li>
Provides an specialization of <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span></code>.
</li>
</ul></div>
</li>
</li>
</ul></div>
<p>
A numeric type is <span class="bold"><strong>signed</strong></span> if the abstract
@ -338,9 +334,9 @@
The following examples clarify the differences between arithmetic and numeric
types (and values):
</p>
<pre class="programlisting"><span class="comment">// A numeric type which is not an arithmetic type (is user-defined)
</span><span class="comment">// and which is intended to represent integer numbers (i.e., an 'integer' numeric type)
</span><span class="keyword">class</span> <span class="identifier">MyInt</span>
<pre class="programlisting"><span class="comment">// A numeric type which is not an arithmetic type (is user-defined)</span>
<span class="comment">// and which is intended to represent integer numbers (i.e., an 'integer' numeric type)</span>
<span class="keyword">class</span> <span class="identifier">MyInt</span>
<span class="special">{</span>
<span class="identifier">MyInt</span> <span class="special">(</span> <span class="keyword">long</span> <span class="keyword">long</span> <span class="identifier">v</span> <span class="special">)</span> <span class="special">;</span>
<span class="keyword">long</span> <span class="keyword">long</span> <span class="identifier">to_builtin</span><span class="special">();</span>
@ -349,21 +345,21 @@
<span class="keyword">template</span><span class="special">&lt;&gt;</span> <span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">MyInt</span><span class="special">&gt;</span> <span class="special">{</span> <span class="special">...</span> <span class="special">}</span> <span class="special">;</span>
<span class="special">}</span>
<span class="comment">// A 'floating' numeric type (double) which is also an arithmetic type (built-in),
</span><span class="comment">// with a float numeric value.
</span><span class="keyword">double</span> <span class="identifier">pi</span> <span class="special">=</span> <span class="identifier">M_PI</span> <span class="special">;</span>
<span class="comment">// A 'floating' numeric type (double) which is also an arithmetic type (built-in),</span>
<span class="comment">// with a float numeric value.</span>
<span class="keyword">double</span> <span class="identifier">pi</span> <span class="special">=</span> <span class="identifier">M_PI</span> <span class="special">;</span>
<span class="comment">// A 'floating' numeric type with a whole numeric value.
</span><span class="comment">// NOTE: numeric values are typed valued, hence, they are, for instance,
</span><span class="comment">// integer or floating, despite the value itself being whole or including
</span><span class="comment">// a fractional part.
</span><span class="keyword">double</span> <span class="identifier">two</span> <span class="special">=</span> <span class="number">2.0</span> <span class="special">;</span>
<span class="comment">// A 'floating' numeric type with a whole numeric value.</span>
<span class="comment">// NOTE: numeric values are typed valued, hence, they are, for instance,</span>
<span class="comment">// integer or floating, despite the value itself being whole or including</span>
<span class="comment">// a fractional part.</span>
<span class="keyword">double</span> <span class="identifier">two</span> <span class="special">=</span> <span class="number">2.0</span> <span class="special">;</span>
<span class="comment">// An integer numeric type with an integer numeric value.
</span><span class="identifier">MyInt</span> <span class="identifier">i</span><span class="special">(</span><span class="number">1234</span><span class="special">);</span>
<span class="comment">// An integer numeric type with an integer numeric value.</span>
<span class="identifier">MyInt</span> <span class="identifier">i</span><span class="special">(</span><span class="number">1234</span><span class="special">);</span>
</pre>
</div>
<div class="section" title="Range and Precision">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.definitions.range_and_precision"></a><a class="link" href="definitions.html#boost_numericconversion.definitions.range_and_precision" title="Range and Precision">Range
and Precision</a>
@ -482,15 +478,15 @@
<p>
This definition was chosen because:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
<span class="bold"><strong>(a)</strong></span> The discrete set of numeric values
is already given by the numeric set.
</li>
<span class="bold"><strong>(a)</strong></span> The discrete set of numeric values
is already given by the numeric set.
</li>
<li class="listitem">
<span class="bold"><strong>(b)</strong></span> Abstract intervals are easier to compare
and overlap since only boundary values need to be considered.
</li>
<span class="bold"><strong>(b)</strong></span> Abstract intervals are easier to
compare and overlap since only boundary values need to be considered.
</li>
</ul></div>
<p>
This definition allows for a concise definition of <code class="computeroutput"><span class="identifier">subranged</span></code>
@ -523,7 +519,7 @@
of mantissa bits, the higher the precision.
</p>
</div>
<div class="section" title="Exact, Correctly Rounded and Out-Of-Range Representations">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.definitions.exact__correctly_rounded_and_out_of_range_representations"></a><a class="link" href="definitions.html#boost_numericconversion.definitions.exact__correctly_rounded_and_out_of_range_representations" title="Exact, Correctly Rounded and Out-Of-Range Representations">Exact,
Correctly Rounded and Out-Of-Range Representations</a>
@ -542,17 +538,17 @@
or, equivalently, it's representation in the type <code class="computeroutput"><span class="identifier">T</span></code>
is <span class="bold"><strong>out of range</strong></span>, or <span class="bold"><strong>overflows</strong></span>.
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
If <code class="computeroutput"><span class="identifier">V</span> <span class="special">&lt;</span>
<span class="identifier">abt</span><span class="special">(</span><span class="identifier">l</span><span class="special">)</span></code>, the
<span class="bold"><strong>overflow is negative</strong></span>.
</li>
If <code class="computeroutput"><span class="identifier">V</span> <span class="special">&lt;</span>
<span class="identifier">abt</span><span class="special">(</span><span class="identifier">l</span><span class="special">)</span></code>,
the <span class="bold"><strong>overflow is negative</strong></span>.
</li>
<li class="listitem">
If <code class="computeroutput"><span class="identifier">V</span> <span class="special">&gt;</span>
<span class="identifier">abt</span><span class="special">(</span><span class="identifier">h</span><span class="special">)</span></code>, the
<span class="bold"><strong>overflow is positive</strong></span>.
</li>
If <code class="computeroutput"><span class="identifier">V</span> <span class="special">&gt;</span>
<span class="identifier">abt</span><span class="special">(</span><span class="identifier">h</span><span class="special">)</span></code>,
the <span class="bold"><strong>overflow is positive</strong></span>.
</li>
</ul></div>
<p>
If <code class="computeroutput"><span class="identifier">V</span> <span class="special">&gt;=</span>
@ -583,17 +579,17 @@
the roundoff error corresponds to the representation operation and not to
the numeric value itself (i.e. numeric values do not have any error themselves)
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
If the roundoff is 0, the representation is <span class="bold"><strong>exact</strong></span>,
and <code class="computeroutput"><span class="identifier">V</span></code> is exactly representable
in the type <code class="computeroutput"><span class="identifier">T</span></code>.
</li>
If the roundoff is 0, the representation is <span class="bold"><strong>exact</strong></span>,
and <code class="computeroutput"><span class="identifier">V</span></code> is exactly representable
in the type <code class="computeroutput"><span class="identifier">T</span></code>.
</li>
<li class="listitem">
If the roundoff is not 0, the representation is <span class="bold"><strong>inexact</strong></span>,
and <code class="computeroutput"><span class="identifier">V</span></code> is inexactly representable
in the type <code class="computeroutput"><span class="identifier">T</span></code>.
</li>
If the roundoff is not 0, the representation is <span class="bold"><strong>inexact</strong></span>,
and <code class="computeroutput"><span class="identifier">V</span></code> is inexactly representable
in the type <code class="computeroutput"><span class="identifier">T</span></code>.
</li>
</ul></div>
<p>
If a representation <code class="computeroutput"><span class="identifier">v</span></code> in
@ -623,84 +619,85 @@
<p>
The following examples summarize the given definitions. Consider:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
A numeric type <code class="computeroutput"><span class="identifier">Int</span></code> representing
integer numbers with a <span class="emphasis"><em>numeric set</em></span>: <code class="computeroutput"><span class="special">{-</span><span class="number">2</span><span class="special">,-</span><span class="number">1</span><span class="special">,</span><span class="number">0</span><span class="special">,</span><span class="number">1</span><span class="special">,</span><span class="number">2</span><span class="special">}</span></code> and <span class="emphasis"><em>range</em></span>:
<code class="computeroutput"><span class="special">[-</span><span class="number">2</span><span class="special">,</span><span class="number">2</span><span class="special">]</span></code>
</li>
A numeric type <code class="computeroutput"><span class="identifier">Int</span></code> representing
integer numbers with a <span class="emphasis"><em>numeric set</em></span>: <code class="computeroutput"><span class="special">{-</span><span class="number">2</span><span class="special">,-</span><span class="number">1</span><span class="special">,</span><span class="number">0</span><span class="special">,</span><span class="number">1</span><span class="special">,</span><span class="number">2</span><span class="special">}</span></code> and
<span class="emphasis"><em>range</em></span>: <code class="computeroutput"><span class="special">[-</span><span class="number">2</span><span class="special">,</span><span class="number">2</span><span class="special">]</span></code>
</li>
<li class="listitem">
A numeric type <code class="computeroutput"><span class="identifier">Cardinal</span></code>
representing integer numbers with a <span class="emphasis"><em>numeric set</em></span>:
<code class="computeroutput"><span class="special">{</span><span class="number">0</span><span class="special">,</span><span class="number">1</span><span class="special">,</span><span class="number">2</span><span class="special">,</span><span class="number">3</span><span class="special">,</span><span class="number">4</span><span class="special">,</span><span class="number">5</span><span class="special">,</span><span class="number">6</span><span class="special">,</span><span class="number">7</span><span class="special">,</span><span class="number">8</span><span class="special">,</span><span class="number">9</span><span class="special">}</span></code> and <span class="emphasis"><em>range</em></span>: <code class="computeroutput"><span class="special">[</span><span class="number">0</span><span class="special">,</span><span class="number">9</span><span class="special">]</span></code> (no modulo-arithmetic
here)
</li>
A numeric type <code class="computeroutput"><span class="identifier">Cardinal</span></code>
representing integer numbers with a <span class="emphasis"><em>numeric set</em></span>:
<code class="computeroutput"><span class="special">{</span><span class="number">0</span><span class="special">,</span><span class="number">1</span><span class="special">,</span><span class="number">2</span><span class="special">,</span><span class="number">3</span><span class="special">,</span><span class="number">4</span><span class="special">,</span><span class="number">5</span><span class="special">,</span><span class="number">6</span><span class="special">,</span><span class="number">7</span><span class="special">,</span><span class="number">8</span><span class="special">,</span><span class="number">9</span><span class="special">}</span></code> and <span class="emphasis"><em>range</em></span>: <code class="computeroutput"><span class="special">[</span><span class="number">0</span><span class="special">,</span><span class="number">9</span><span class="special">]</span></code> (no
modulo-arithmetic here)
</li>
<li class="listitem">
A numeric type <code class="computeroutput"><span class="identifier">Real</span></code> representing
real numbers with a <span class="emphasis"><em>numeric set</em></span>: <code class="computeroutput"><span class="special">{-</span><span class="number">2.0</span><span class="special">,-</span><span class="number">1.5</span><span class="special">,-</span><span class="number">1.0</span><span class="special">,-</span><span class="number">0.5</span><span class="special">,-</span><span class="number">0.0</span><span class="special">,+</span><span class="number">0.0</span><span class="special">,+</span><span class="number">0.5</span><span class="special">,+</span><span class="number">1.0</span><span class="special">,+</span><span class="number">1.5</span><span class="special">,+</span><span class="number">2.0</span><span class="special">}</span></code> and
<span class="emphasis"><em>range</em></span>: <code class="computeroutput"><span class="special">[-</span><span class="number">2.0</span><span class="special">,+</span><span class="number">2.0</span><span class="special">]</span></code>
</li>
A numeric type <code class="computeroutput"><span class="identifier">Real</span></code> representing
real numbers with a <span class="emphasis"><em>numeric set</em></span>: <code class="computeroutput"><span class="special">{-</span><span class="number">2.0</span><span class="special">,-</span><span class="number">1.5</span><span class="special">,-</span><span class="number">1.0</span><span class="special">,-</span><span class="number">0.5</span><span class="special">,-</span><span class="number">0.0</span><span class="special">,+</span><span class="number">0.0</span><span class="special">,+</span><span class="number">0.5</span><span class="special">,+</span><span class="number">1.0</span><span class="special">,+</span><span class="number">1.5</span><span class="special">,+</span><span class="number">2.0</span><span class="special">}</span></code> and
<span class="emphasis"><em>range</em></span>: <code class="computeroutput"><span class="special">[-</span><span class="number">2.0</span><span class="special">,+</span><span class="number">2.0</span><span class="special">]</span></code>
</li>
<li class="listitem">
A numeric type <code class="computeroutput"><span class="identifier">Whole</span></code> representing
real numbers with a <span class="emphasis"><em>numeric set</em></span>: <code class="computeroutput"><span class="special">{-</span><span class="number">2.0</span><span class="special">,-</span><span class="number">1.0</span><span class="special">,</span><span class="number">0.0</span><span class="special">,+</span><span class="number">1.0</span><span class="special">,+</span><span class="number">2.0</span><span class="special">}</span></code> and <span class="emphasis"><em>range</em></span>: <code class="computeroutput"><span class="special">[-</span><span class="number">2.0</span><span class="special">,+</span><span class="number">2.0</span><span class="special">]</span></code>
</li>
A numeric type <code class="computeroutput"><span class="identifier">Whole</span></code>
representing real numbers with a <span class="emphasis"><em>numeric set</em></span>: <code class="computeroutput"><span class="special">{-</span><span class="number">2.0</span><span class="special">,-</span><span class="number">1.0</span><span class="special">,</span><span class="number">0.0</span><span class="special">,+</span><span class="number">1.0</span><span class="special">,+</span><span class="number">2.0</span><span class="special">}</span></code> and
<span class="emphasis"><em>range</em></span>: <code class="computeroutput"><span class="special">[-</span><span class="number">2.0</span><span class="special">,+</span><span class="number">2.0</span><span class="special">]</span></code>
</li>
</ul></div>
<p>
First, notice that the types <code class="computeroutput"><span class="identifier">Real</span></code>
and <code class="computeroutput"><span class="identifier">Whole</span></code> both represent
real numbers, have the same range, but different precision.
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
The integer number <code class="computeroutput"><span class="number">1</span></code> (an abstract
value) can be exactly represented in any of these types.
</li>
The integer number <code class="computeroutput"><span class="number">1</span></code> (an
abstract value) can be exactly represented in any of these types.
</li>
<li class="listitem">
The integer number <code class="computeroutput"><span class="special">-</span><span class="number">1</span></code>
can be exactly represented in <code class="computeroutput"><span class="identifier">Int</span></code>,
<code class="computeroutput"><span class="identifier">Real</span></code> and <code class="computeroutput"><span class="identifier">Whole</span></code>, but cannot be represented in
<code class="computeroutput"><span class="identifier">Cardinal</span></code>, yielding negative
overflow.
</li>
The integer number <code class="computeroutput"><span class="special">-</span><span class="number">1</span></code>
can be exactly represented in <code class="computeroutput"><span class="identifier">Int</span></code>,
<code class="computeroutput"><span class="identifier">Real</span></code> and <code class="computeroutput"><span class="identifier">Whole</span></code>, but cannot be represented in
<code class="computeroutput"><span class="identifier">Cardinal</span></code>, yielding negative
overflow.
</li>
<li class="listitem">
The real number <code class="computeroutput"><span class="number">1.5</span></code> can be
exactly represented in <code class="computeroutput"><span class="identifier">Real</span></code>,
and inexactly represented in the other types.
</li>
The real number <code class="computeroutput"><span class="number">1.5</span></code> can be
exactly represented in <code class="computeroutput"><span class="identifier">Real</span></code>,
and inexactly represented in the other types.
</li>
<li class="listitem">
If <code class="computeroutput"><span class="number">1.5</span></code> is represented as either
<code class="computeroutput"><span class="number">1</span></code> or <code class="computeroutput"><span class="number">2</span></code>
in any of the types (except <code class="computeroutput"><span class="identifier">Real</span></code>),
the representation is correctly rounded.
</li>
If <code class="computeroutput"><span class="number">1.5</span></code> is represented as
either <code class="computeroutput"><span class="number">1</span></code> or <code class="computeroutput"><span class="number">2</span></code> in any of the types (except <code class="computeroutput"><span class="identifier">Real</span></code>), the representation is correctly
rounded.
</li>
<li class="listitem">
If <code class="computeroutput"><span class="number">0.5</span></code> is represented as <code class="computeroutput"><span class="special">+</span><span class="number">1.5</span></code> in the
type <code class="computeroutput"><span class="identifier">Real</span></code>, it is incorrectly
rounded.
</li>
If <code class="computeroutput"><span class="number">0.5</span></code> is represented as
<code class="computeroutput"><span class="special">+</span><span class="number">1.5</span></code>
in the type <code class="computeroutput"><span class="identifier">Real</span></code>, it
is incorrectly rounded.
</li>
<li class="listitem">
<code class="computeroutput"><span class="special">(-</span><span class="number">2.0</span><span class="special">,-</span><span class="number">1.5</span><span class="special">)</span></code>
are the <code class="computeroutput"><span class="identifier">Real</span></code> adjacents
of any real number in the interval <code class="computeroutput"><span class="special">[-</span><span class="number">2.0</span><span class="special">,-</span><span class="number">1.5</span><span class="special">]</span></code>, yet there are no <code class="computeroutput"><span class="identifier">Real</span></code>
adjacents for <code class="computeroutput"><span class="identifier">x</span> <span class="special">&lt;</span>
<span class="special">-</span><span class="number">2.0</span></code>,
nor for <code class="computeroutput"><span class="identifier">x</span> <span class="special">&gt;</span>
<span class="special">+</span><span class="number">2.0</span></code>.
</li>
<code class="computeroutput"><span class="special">(-</span><span class="number">2.0</span><span class="special">,-</span><span class="number">1.5</span><span class="special">)</span></code>
are the <code class="computeroutput"><span class="identifier">Real</span></code> adjacents
of any real number in the interval <code class="computeroutput"><span class="special">[-</span><span class="number">2.0</span><span class="special">,-</span><span class="number">1.5</span><span class="special">]</span></code>, yet there are no <code class="computeroutput"><span class="identifier">Real</span></code>
adjacents for <code class="computeroutput"><span class="identifier">x</span> <span class="special">&lt;</span>
<span class="special">-</span><span class="number">2.0</span></code>,
nor for <code class="computeroutput"><span class="identifier">x</span> <span class="special">&gt;</span>
<span class="special">+</span><span class="number">2.0</span></code>.
</li>
</ul></div>
</div>
<div class="section" title="Standard (numeric) Conversions">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.definitions.standard__numeric__conversions"></a><a class="link" href="definitions.html#boost_numericconversion.definitions.standard__numeric__conversions" title="Standard (numeric) Conversions">Standard
(numeric) Conversions</a>
</h3></div></div></div>
<p>
The C++ language defines <span class="underline">Standard Conversions</span>
(§4) some of which are conversions between arithmetic types.
(&#167;4) some of which are conversions between arithmetic types.
</p>
<p>
These are <span class="underline">Integral promotions</span> (§4.5),
<span class="underline">Integral conversions</span> (§4.7), <span class="underline">Floating point promotions</span> (§4.6), <span class="underline">Floating point conversions</span> (§4.8) and <span class="underline">Floating-integral conversions</span> (§4.9).
These are <span class="underline">Integral promotions</span> (&#167;4.5),
<span class="underline">Integral conversions</span> (&#167;4.7), <span class="underline">Floating point promotions</span> (&#167;4.6), <span class="underline">Floating point conversions</span> (&#167;4.8) and <span class="underline">Floating-integral conversions</span> (&#167;4.9).
</p>
<p>
In the sequel, integral and floating point promotions are called <span class="bold"><strong>arithmetic promotions</strong></span>, and these plus integral, floating-point
@ -721,42 +718,38 @@
<p>
Integer to integer conversions are always defined:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
If <code class="computeroutput"><span class="identifier">T</span></code> is unsigned, the abstract
value which is effectively represented is not <code class="computeroutput"><span class="identifier">N</span></code>
but <code class="computeroutput"><span class="identifier">M</span><span class="special">=[</span>
<span class="identifier">N</span> <span class="special">%</span>
<span class="special">(</span> <span class="identifier">abt</span><span class="special">(</span><span class="identifier">h</span><span class="special">)</span>
<span class="special">+</span> <span class="number">1</span> <span class="special">)</span> <span class="special">]</span></code>, where
<code class="computeroutput"><span class="identifier">h</span></code> is the highest unsigned
typed value of type <code class="computeroutput"><span class="identifier">T</span></code>.
</li>
If <code class="computeroutput"><span class="identifier">T</span></code> is unsigned, the
abstract value which is effectively represented is not <code class="computeroutput"><span class="identifier">N</span></code> but <code class="computeroutput"><span class="identifier">M</span><span class="special">=[</span> <span class="identifier">N</span> <span class="special">%</span> <span class="special">(</span> <span class="identifier">abt</span><span class="special">(</span><span class="identifier">h</span><span class="special">)</span> <span class="special">+</span> <span class="number">1</span>
<span class="special">)</span> <span class="special">]</span></code>,
where <code class="computeroutput"><span class="identifier">h</span></code> is the highest
unsigned typed value of type <code class="computeroutput"><span class="identifier">T</span></code>.
</li>
<li class="listitem">
If <code class="computeroutput"><span class="identifier">T</span></code> is signed and <code class="computeroutput"><span class="identifier">N</span></code> is not directly representable, the
result <code class="computeroutput"><span class="identifier">t</span></code> is <span class="underline">implementation-defined</span>,
which means that the C++ implementation is required to produce a value
<code class="computeroutput"><span class="identifier">t</span></code> even if it is totally
unrelated to <code class="computeroutput"><span class="identifier">s</span></code>.
</li>
If <code class="computeroutput"><span class="identifier">T</span></code> is signed and <code class="computeroutput"><span class="identifier">N</span></code> is not directly representable, the
result <code class="computeroutput"><span class="identifier">t</span></code> is <span class="underline">implementation-defined</span>, which means that
the C++ implementation is required to produce a value <code class="computeroutput"><span class="identifier">t</span></code>
even if it is totally unrelated to <code class="computeroutput"><span class="identifier">s</span></code>.
</li>
</ul></div>
<p>
Floating to Floating conversions are defined only if <code class="computeroutput"><span class="identifier">N</span></code>
is representable; if it is not, the conversion has <span class="underline">undefined
behavior</span>.
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
If <code class="computeroutput"><span class="identifier">N</span></code> is exactly representable,
<code class="computeroutput"><span class="identifier">t</span></code> is required to be the
exact representation.
</li>
If <code class="computeroutput"><span class="identifier">N</span></code> is exactly representable,
<code class="computeroutput"><span class="identifier">t</span></code> is required to be the
exact representation.
</li>
<li class="listitem">
If <code class="computeroutput"><span class="identifier">N</span></code> is inexactly representable,
<code class="computeroutput"><span class="identifier">t</span></code> is required to be one
of the two adjacents, with an implementation-defined choice of rounding
direction; that is, the conversion is required to be correctly rounded.
</li>
If <code class="computeroutput"><span class="identifier">N</span></code> is inexactly representable,
<code class="computeroutput"><span class="identifier">t</span></code> is required to be one
of the two adjacents, with an implementation-defined choice of rounding
direction; that is, the conversion is required to be correctly rounded.
</li>
</ul></div>
<p>
Floating to Integer conversions represent not <code class="computeroutput"><span class="identifier">N</span></code>
@ -764,30 +757,31 @@
<code class="computeroutput"><span class="identifier">trunc</span><span class="special">()</span></code>
is to truncate: i.e. to remove the fractional part, if any.
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc"><li class="listitem">
If <code class="computeroutput"><span class="identifier">M</span></code> is not representable
in <code class="computeroutput"><span class="identifier">T</span></code>, the conversion has
<span class="underline">undefined behavior</span> (unless <code class="computeroutput"><span class="identifier">T</span></code> is <code class="computeroutput"><span class="keyword">bool</span></code>,
see §4.12).
</li></ul></div>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; "><li class="listitem">
If <code class="computeroutput"><span class="identifier">M</span></code> is not representable
in <code class="computeroutput"><span class="identifier">T</span></code>, the conversion
has <span class="underline">undefined behavior</span> (unless
<code class="computeroutput"><span class="identifier">T</span></code> is <code class="computeroutput"><span class="keyword">bool</span></code>,
see &#167;4.12).
</li></ul></div>
<p>
Integer to Floating conversions are always defined.
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
If <code class="computeroutput"><span class="identifier">N</span></code> is exactly representable,
<code class="computeroutput"><span class="identifier">t</span></code> is required to be the
exact representation.
</li>
If <code class="computeroutput"><span class="identifier">N</span></code> is exactly representable,
<code class="computeroutput"><span class="identifier">t</span></code> is required to be the
exact representation.
</li>
<li class="listitem">
If <code class="computeroutput"><span class="identifier">N</span></code> is inexactly representable,
<code class="computeroutput"><span class="identifier">t</span></code> is required to be one
of the two adjacents, with an implementation-defined choice of rounding
direction; that is, the conversion is required to be correctly rounded.
</li>
If <code class="computeroutput"><span class="identifier">N</span></code> is inexactly representable,
<code class="computeroutput"><span class="identifier">t</span></code> is required to be one
of the two adjacents, with an implementation-defined choice of rounding
direction; that is, the conversion is required to be correctly rounded.
</li>
</ul></div>
</div>
<div class="section" title="Subranged Conversion Direction, Subtype and Supertype">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.definitions.subranged_conversion_direction__subtype_and_supertype"></a><a class="link" href="definitions.html#boost_numericconversion.definitions.subranged_conversion_direction__subtype_and_supertype" title="Subranged Conversion Direction, Subtype and Supertype">Subranged
Conversion Direction, Subtype and Supertype</a>
@ -804,15 +798,13 @@
in which case it is said that <code class="computeroutput"><span class="identifier">X</span></code>
is enclosed by <code class="computeroutput"><span class="identifier">Y</span></code>.
</p>
<div class="blockquote"><blockquote class="blockquote">
<p>
</p>
<p>
<span class="bold"><strong>Formally:</strong></span> <code class="computeroutput"><span class="identifier">R</span><span class="special">(</span><span class="identifier">S</span><span class="special">)</span></code> is enclosed by <code class="computeroutput"><span class="identifier">R</span><span class="special">(</span><span class="identifier">T</span><span class="special">)</span></code> iif <code class="computeroutput"><span class="special">(</span><span class="identifier">R</span><span class="special">(</span><span class="identifier">S</span><span class="special">)</span> <span class="identifier">intersection</span> <span class="identifier">R</span><span class="special">(</span><span class="identifier">T</span><span class="special">))</span> <span class="special">==</span> <span class="identifier">R</span><span class="special">(</span><span class="identifier">S</span><span class="special">)</span></code>.
</p>
<p>
</p>
</blockquote></div>
<div class="blockquote"><blockquote class="blockquote"><p>
<span class="bold"><strong>Formally:</strong></span> <code class="computeroutput"><span class="identifier">R</span><span class="special">(</span><span class="identifier">S</span><span class="special">)</span></code>
is enclosed by <code class="computeroutput"><span class="identifier">R</span><span class="special">(</span><span class="identifier">T</span><span class="special">)</span></code> iif
<code class="computeroutput"><span class="special">(</span><span class="identifier">R</span><span class="special">(</span><span class="identifier">S</span><span class="special">)</span>
<span class="identifier">intersection</span> <span class="identifier">R</span><span class="special">(</span><span class="identifier">T</span><span class="special">))</span>
<span class="special">==</span> <span class="identifier">R</span><span class="special">(</span><span class="identifier">S</span><span class="special">)</span></code>.
</p></blockquote></div>
<p>
If the source type range, <code class="computeroutput"><span class="identifier">R</span><span class="special">(</span><span class="identifier">S</span><span class="special">)</span></code>,
is not enclosed in the target type range, <code class="computeroutput"><span class="identifier">R</span><span class="special">(</span><span class="identifier">T</span><span class="special">)</span></code>;
@ -835,50 +827,50 @@
<p>
Given the following numeric types all representing real numbers:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
<code class="computeroutput"><span class="identifier">X</span></code> with numeric set <code class="computeroutput"><span class="special">{-</span><span class="number">2.0</span><span class="special">,-</span><span class="number">1.0</span><span class="special">,</span><span class="number">0.0</span><span class="special">,+</span><span class="number">1.0</span><span class="special">,+</span><span class="number">2.0</span><span class="special">}</span></code> and
range <code class="computeroutput"><span class="special">[-</span><span class="number">2.0</span><span class="special">,+</span><span class="number">2.0</span><span class="special">]</span></code>
</li>
<code class="computeroutput"><span class="identifier">X</span></code> with numeric set <code class="computeroutput"><span class="special">{-</span><span class="number">2.0</span><span class="special">,-</span><span class="number">1.0</span><span class="special">,</span><span class="number">0.0</span><span class="special">,+</span><span class="number">1.0</span><span class="special">,+</span><span class="number">2.0</span><span class="special">}</span></code> and
range <code class="computeroutput"><span class="special">[-</span><span class="number">2.0</span><span class="special">,+</span><span class="number">2.0</span><span class="special">]</span></code>
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">Y</span></code> with numeric set <code class="computeroutput"><span class="special">{-</span><span class="number">2.0</span><span class="special">,-</span><span class="number">1.5</span><span class="special">,-</span><span class="number">1.0</span><span class="special">,-</span><span class="number">0.5</span><span class="special">,</span><span class="number">0.0</span><span class="special">,+</span><span class="number">0.5</span><span class="special">,+</span><span class="number">1.0</span><span class="special">,+</span><span class="number">1.5</span><span class="special">,+</span><span class="number">2.0</span><span class="special">}</span></code> and range <code class="computeroutput"><span class="special">[-</span><span class="number">2.0</span><span class="special">,+</span><span class="number">2.0</span><span class="special">]</span></code>
</li>
<code class="computeroutput"><span class="identifier">Y</span></code> with numeric set <code class="computeroutput"><span class="special">{-</span><span class="number">2.0</span><span class="special">,-</span><span class="number">1.5</span><span class="special">,-</span><span class="number">1.0</span><span class="special">,-</span><span class="number">0.5</span><span class="special">,</span><span class="number">0.0</span><span class="special">,+</span><span class="number">0.5</span><span class="special">,+</span><span class="number">1.0</span><span class="special">,+</span><span class="number">1.5</span><span class="special">,+</span><span class="number">2.0</span><span class="special">}</span></code> and range <code class="computeroutput"><span class="special">[-</span><span class="number">2.0</span><span class="special">,+</span><span class="number">2.0</span><span class="special">]</span></code>
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">Z</span></code> with numeric set <code class="computeroutput"><span class="special">{-</span><span class="number">1.0</span><span class="special">,</span><span class="number">0.0</span><span class="special">,+</span><span class="number">1.0</span><span class="special">}</span></code> and range <code class="computeroutput"><span class="special">[-</span><span class="number">1.0</span><span class="special">,+</span><span class="number">1.0</span><span class="special">]</span></code>
</li>
<code class="computeroutput"><span class="identifier">Z</span></code> with numeric set <code class="computeroutput"><span class="special">{-</span><span class="number">1.0</span><span class="special">,</span><span class="number">0.0</span><span class="special">,+</span><span class="number">1.0</span><span class="special">}</span></code> and range <code class="computeroutput"><span class="special">[-</span><span class="number">1.0</span><span class="special">,+</span><span class="number">1.0</span><span class="special">]</span></code>
</li>
</ul></div>
<p>
For:
</p>
<div class="variablelist">
<p class="title"><b></b></p>
<dl>
<dl class="variablelist">
<dt><span class="term">(a) X-&gt;Y:</span></dt>
<dd><p>
<code class="computeroutput"><span class="identifier">R</span><span class="special">(</span><span class="identifier">X</span><span class="special">)</span> <span class="special">&amp;</span> <span class="identifier">R</span><span class="special">(</span><span class="identifier">Y</span><span class="special">)</span> <span class="special">==</span> <span class="identifier">R</span><span class="special">(</span><span class="identifier">X</span><span class="special">)</span></code>,
then <code class="computeroutput"><span class="identifier">X</span><span class="special">-&gt;</span><span class="identifier">Y</span></code> is not subranged. Thus, all values
of type <code class="computeroutput"><span class="identifier">X</span></code> are representable
in the type <code class="computeroutput"><span class="identifier">Y</span></code>.
</p></dd>
<code class="computeroutput"><span class="identifier">R</span><span class="special">(</span><span class="identifier">X</span><span class="special">)</span> <span class="special">&amp;</span> <span class="identifier">R</span><span class="special">(</span><span class="identifier">Y</span><span class="special">)</span> <span class="special">==</span> <span class="identifier">R</span><span class="special">(</span><span class="identifier">X</span><span class="special">)</span></code>,
then <code class="computeroutput"><span class="identifier">X</span><span class="special">-&gt;</span><span class="identifier">Y</span></code> is not subranged. Thus, all values
of type <code class="computeroutput"><span class="identifier">X</span></code> are representable
in the type <code class="computeroutput"><span class="identifier">Y</span></code>.
</p></dd>
<dt><span class="term">(b) Y-&gt;X:</span></dt>
<dd><p>
<code class="computeroutput"><span class="identifier">R</span><span class="special">(</span><span class="identifier">Y</span><span class="special">)</span> <span class="special">&amp;</span> <span class="identifier">R</span><span class="special">(</span><span class="identifier">X</span><span class="special">)</span> <span class="special">==</span> <span class="identifier">R</span><span class="special">(</span><span class="identifier">Y</span><span class="special">)</span></code>,
then <code class="computeroutput"><span class="identifier">Y</span><span class="special">-&gt;</span><span class="identifier">X</span></code> is not subranged. Thus, all values
of type <code class="computeroutput"><span class="identifier">Y</span></code> are representable
in the type <code class="computeroutput"><span class="identifier">X</span></code>, but in
this case, some values are <span class="emphasis"><em>inexactly</em></span> representable
(all the halves). (note: it is to permit this case that a range is an
interval of abstract values and not an interval of typed values)
</p></dd>
<code class="computeroutput"><span class="identifier">R</span><span class="special">(</span><span class="identifier">Y</span><span class="special">)</span> <span class="special">&amp;</span> <span class="identifier">R</span><span class="special">(</span><span class="identifier">X</span><span class="special">)</span> <span class="special">==</span> <span class="identifier">R</span><span class="special">(</span><span class="identifier">Y</span><span class="special">)</span></code>,
then <code class="computeroutput"><span class="identifier">Y</span><span class="special">-&gt;</span><span class="identifier">X</span></code> is not subranged. Thus, all values
of type <code class="computeroutput"><span class="identifier">Y</span></code> are representable
in the type <code class="computeroutput"><span class="identifier">X</span></code>, but
in this case, some values are <span class="emphasis"><em>inexactly</em></span> representable
(all the halves). (note: it is to permit this case that a range is
an interval of abstract values and not an interval of typed values)
</p></dd>
<dt><span class="term">(b) X-&gt;Z:</span></dt>
<dd><p>
<code class="computeroutput"><span class="identifier">R</span><span class="special">(</span><span class="identifier">X</span><span class="special">)</span> <span class="special">&amp;</span> <span class="identifier">R</span><span class="special">(</span><span class="identifier">Z</span><span class="special">)</span> <span class="special">!=</span> <span class="identifier">R</span><span class="special">(</span><span class="identifier">X</span><span class="special">)</span></code>,
then <code class="computeroutput"><span class="identifier">X</span><span class="special">-&gt;</span><span class="identifier">Z</span></code> is subranged. Thus, some values of
type <code class="computeroutput"><span class="identifier">X</span></code> are not representable
in the type <code class="computeroutput"><span class="identifier">Z</span></code>, they fall
out of range <code class="computeroutput"><span class="special">(-</span><span class="number">2.0</span>
<span class="keyword">and</span> <span class="special">+</span><span class="number">2.0</span><span class="special">)</span></code>.
</p></dd>
<code class="computeroutput"><span class="identifier">R</span><span class="special">(</span><span class="identifier">X</span><span class="special">)</span> <span class="special">&amp;</span> <span class="identifier">R</span><span class="special">(</span><span class="identifier">Z</span><span class="special">)</span> <span class="special">!=</span> <span class="identifier">R</span><span class="special">(</span><span class="identifier">X</span><span class="special">)</span></code>,
then <code class="computeroutput"><span class="identifier">X</span><span class="special">-&gt;</span><span class="identifier">Z</span></code> is subranged. Thus, some values
of type <code class="computeroutput"><span class="identifier">X</span></code> are not representable
in the type <code class="computeroutput"><span class="identifier">Z</span></code>, they
fall out of range <code class="computeroutput"><span class="special">(-</span><span class="number">2.0</span>
<span class="keyword">and</span> <span class="special">+</span><span class="number">2.0</span><span class="special">)</span></code>.
</p></dd>
</dl>
</div>
<p>
@ -903,28 +895,22 @@
<p>
For example:
</p>
<div class="blockquote"><blockquote class="blockquote">
<p>
</p>
<p>
<code class="computeroutput"><span class="identifier">R</span><span class="special">(</span><span class="keyword">float</span><span class="special">)=[-</span><span class="identifier">FLT_MAX</span><span class="special">,</span><span class="identifier">FLT_MAX</span><span class="special">]</span></code>
and <code class="computeroutput"><span class="identifier">R</span><span class="special">(</span><span class="keyword">double</span><span class="special">)=[-</span><span class="identifier">DBL_MAX</span><span class="special">,</span><span class="identifier">DBL_MAX</span><span class="special">]</span></code>
</p>
<p>
</p>
</blockquote></div>
<div class="blockquote"><blockquote class="blockquote"><p>
<code class="computeroutput"><span class="identifier">R</span><span class="special">(</span><span class="keyword">float</span><span class="special">)=[-</span><span class="identifier">FLT_MAX</span><span class="special">,</span><span class="identifier">FLT_MAX</span><span class="special">]</span></code>
and <code class="computeroutput"><span class="identifier">R</span><span class="special">(</span><span class="keyword">double</span><span class="special">)=[-</span><span class="identifier">DBL_MAX</span><span class="special">,</span><span class="identifier">DBL_MAX</span><span class="special">]</span></code>
</p></blockquote></div>
<p>
If <code class="computeroutput"><span class="identifier">FLT_MAX</span> <span class="special">&lt;</span>
<span class="identifier">DBL_MAX</span></code>:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
<code class="computeroutput"><span class="keyword">double</span><span class="special">-&gt;</span><span class="keyword">float</span></code> is subranged and <code class="computeroutput"><span class="identifier">supertype</span><span class="special">=</span><span class="keyword">double</span></code>,
<code class="computeroutput"><span class="identifier">subtype</span><span class="special">=</span><span class="keyword">float</span></code>.
</li>
<code class="computeroutput"><span class="keyword">double</span><span class="special">-&gt;</span><span class="keyword">float</span></code> is subranged and <code class="computeroutput"><span class="identifier">supertype</span><span class="special">=</span><span class="keyword">double</span></code>,
<code class="computeroutput"><span class="identifier">subtype</span><span class="special">=</span><span class="keyword">float</span></code>.
</li>
<li class="listitem">
<code class="computeroutput"><span class="keyword">float</span><span class="special">-&gt;</span><span class="keyword">double</span></code> is not subranged and <code class="computeroutput"><span class="identifier">supertype</span><span class="special">=</span><span class="keyword">double</span></code>, <code class="computeroutput"><span class="identifier">subtype</span><span class="special">=</span><span class="keyword">float</span></code>.
</li>
<code class="computeroutput"><span class="keyword">float</span><span class="special">-&gt;</span><span class="keyword">double</span></code> is not subranged and <code class="computeroutput"><span class="identifier">supertype</span><span class="special">=</span><span class="keyword">double</span></code>, <code class="computeroutput"><span class="identifier">subtype</span><span class="special">=</span><span class="keyword">float</span></code>.
</li>
</ul></div>
<p>
Notice that while <code class="computeroutput"><span class="keyword">double</span><span class="special">-&gt;</span><span class="keyword">float</span></code> is subranged, <code class="computeroutput"><span class="keyword">float</span><span class="special">-&gt;</span><span class="keyword">double</span></code>
@ -933,31 +919,24 @@
<p>
Now consider:
</p>
<div class="blockquote"><blockquote class="blockquote">
<p>
</p>
<p>
<code class="computeroutput"><span class="identifier">R</span><span class="special">(</span><span class="keyword">int</span><span class="special">)=[</span><span class="identifier">INT_MIN</span><span class="special">,</span><span class="identifier">INT_MAX</span><span class="special">]</span></code>
and <code class="computeroutput"><span class="identifier">R</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="keyword">int</span><span class="special">)=[</span><span class="number">0</span><span class="special">,</span><span class="identifier">UINT_MAX</span><span class="special">]</span></code>
</p>
<p>
</p>
</blockquote></div>
<div class="blockquote"><blockquote class="blockquote"><p>
<code class="computeroutput"><span class="identifier">R</span><span class="special">(</span><span class="keyword">int</span><span class="special">)=[</span><span class="identifier">INT_MIN</span><span class="special">,</span><span class="identifier">INT_MAX</span><span class="special">]</span></code> and <code class="computeroutput"><span class="identifier">R</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="keyword">int</span><span class="special">)=[</span><span class="number">0</span><span class="special">,</span><span class="identifier">UINT_MAX</span><span class="special">]</span></code>
</p></blockquote></div>
<p>
A C++ implementation is required to have <code class="computeroutput"><span class="identifier">UINT_MAX</span>
<span class="special">&gt;</span> <span class="identifier">INT_MAX</span></code>
(§3.9/3), so:
(&#167;3.9/3), so:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
'int-&gt;unsigned' is subranged (negative values fall out of range) and
<code class="computeroutput"><span class="identifier">supertype</span><span class="special">=</span><span class="keyword">int</span></code>, <code class="computeroutput"><span class="identifier">subtype</span><span class="special">=</span><span class="keyword">unsigned</span></code>.
</li>
'int-&gt;unsigned' is subranged (negative values fall out of range) and
<code class="computeroutput"><span class="identifier">supertype</span><span class="special">=</span><span class="keyword">int</span></code>, <code class="computeroutput"><span class="identifier">subtype</span><span class="special">=</span><span class="keyword">unsigned</span></code>.
</li>
<li class="listitem">
'unsigned-&gt;int' is <span class="emphasis"><em>also</em></span> subranged (high positive
values fall out of range) and <code class="computeroutput"><span class="identifier">supertype</span><span class="special">=</span><span class="keyword">unsigned</span></code>,
<code class="computeroutput"><span class="identifier">subtype</span><span class="special">=</span><span class="keyword">int</span></code>.
</li>
'unsigned-&gt;int' is <span class="emphasis"><em>also</em></span> subranged (high positive
values fall out of range) and <code class="computeroutput"><span class="identifier">supertype</span><span class="special">=</span><span class="keyword">unsigned</span></code>,
<code class="computeroutput"><span class="identifier">subtype</span><span class="special">=</span><span class="keyword">int</span></code>.
</li>
</ul></div>
<p>
In this case, the conversion is subranged in both directions and the supertype,subtype
@ -980,7 +959,8 @@
</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 © 2004 -2007 Fernando Luis Cacciola Carballal<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2004-2007 Fernando
Luis Cacciola Carballal<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>
@ -988,7 +968,7 @@
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<div class="section" title="Improved numeric_cast&lt;&gt;">
<div class="section">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="boost_numericconversion.improved_numeric_cast__"></a><a class="link" href="improved_numeric_cast__.html" title="Improved numeric_cast&lt;&gt;">Improved
numeric_cast&lt;&gt;</a>
</h2></div></div></div>
<div class="toc"><dl>
<div class="toc"><dl class="toc">
<dt><span class="section"><a href="improved_numeric_cast__.html#boost_numericconversion.improved_numeric_cast__.introduction">Introduction</a></span></dt>
<dt><span class="section"><a href="improved_numeric_cast__.html#boost_numericconversion.improved_numeric_cast__.numeric_cast">numeric_cast</a></span></dt>
<dt><span class="section"><a href="improved_numeric_cast__.html#boost_numericconversion.improved_numeric_cast__.numeric_cast_traits">numeric_cast_traits</a></span></dt>
<dt><span class="section"><a href="improved_numeric_cast__.html#boost_numericconversion.improved_numeric_cast__.examples">Examples</a></span></dt>
</dl></div>
<div class="section" title="Introduction">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.improved_numeric_cast__.introduction"></a><a class="link" href="improved_numeric_cast__.html#boost_numericconversion.improved_numeric_cast__.introduction" title="Introduction">Introduction</a>
</h3></div></div></div>
@ -46,17 +47,17 @@
<p>
There are several situations where conversions are unsafe:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Conversions from an integral type with a wider range than the target integral
type.
</li>
Conversions from an integral type with a wider range than the target
integral type.
</li>
<li class="listitem">
Conversions from unsigned to signed (and vice versa) integral types.
</li>
Conversions from unsigned to signed (and vice versa) integral types.
</li>
<li class="listitem">
Conversions from floating point types to integral types.
</li>
Conversions from floating point types to integral types.
</li>
</ul></div>
<p>
The C++ Standard does not specify the behavior when a numeric type is assigned
@ -69,34 +70,64 @@
exposed to portability issues.
</p>
<p>
<code class="computeroutput"><span class="identifier">numeric_cast</span></code> adheres to the
rules for implicit conversions mandated by the C++ Standard, such as truncating
floating point types when converting to integral types. The implementation
must guarantee that for a conversion to a type that can hold all possible
values of the source type, there will be no runtime overhead.
By default <code class="computeroutput"><span class="identifier">numeric_cast</span></code> adheres
to the rules for implicit conversions mandated by the C++ Standard, such
as truncating floating point types when converting to integral types. The
implementation must guarantee that for a conversion to a type that can hold
all possible values of the source type, there will be no runtime overhead.
</p>
</div>
<div class="section" title="numeric_cast">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.improved_numeric_cast__.numeric_cast"></a><a class="link" href="improved_numeric_cast__.html#boost_numericconversion.improved_numeric_cast__.numeric_cast" title="numeric_cast">numeric_cast</a>
</h3></div></div></div>
<pre class="programlisting"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">Target</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">Source</span><span class="special">&gt;</span> <span class="keyword">inline</span>
<span class="keyword">typename</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">converter</span><span class="special">&lt;</span><span class="identifier">Target</span><span class="special">,</span><span class="identifier">Source</span><span class="special">&gt;::</span><span class="identifier">result_type</span>
<span class="identifier">numeric_cast</span> <span class="special">(</span> <span class="identifier">Source</span> <span class="identifier">arg</span> <span class="special">)</span>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">Target</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">Source</span><span class="special">&gt;</span> <span class="keyword">inline</span>
<span class="identifier">Target</span> <span class="identifier">numeric_cast</span><span class="special">(</span> <span class="identifier">Source</span> <span class="identifier">arg</span> <span class="special">)</span>
<span class="special">{</span>
<span class="keyword">return</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">converter</span><span class="special">&lt;</span><span class="identifier">Target</span><span class="special">,</span><span class="identifier">Source</span><span class="special">&gt;::</span><span class="identifier">convert</span><span class="special">(</span><span class="identifier">arg</span><span class="special">);</span>
<span class="keyword">typedef</span> <span class="identifier">conversion_traits</span><span class="special">&lt;</span><span class="identifier">Target</span><span class="special">,</span> <span class="identifier">Source</span><span class="special">&gt;</span> <span class="identifier">conv_traits</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">numeric_cast_traits</span><span class="special">&lt;</span><span class="identifier">Target</span><span class="special">,</span> <span class="identifier">Source</span><span class="special">&gt;</span> <span class="identifier">cast_traits</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">converter</span>
<span class="special">&lt;</span>
<span class="identifier">Target</span><span class="special">,</span>
<span class="identifier">Source</span><span class="special">,</span>
<span class="identifier">conv_traits</span><span class="special">,</span>
<span class="keyword">typename</span> <span class="identifier">cast_traits</span><span class="special">::</span><span class="identifier">overflow_policy</span><span class="special">,</span>
<span class="keyword">typename</span> <span class="identifier">cast_traits</span><span class="special">::</span><span class="identifier">rounding_policy</span><span class="special">,</span>
<span class="identifier">raw_converter</span><span class="special">&lt;</span><span class="identifier">conv_traits</span><span class="special">&gt;,</span>
<span class="keyword">typename</span> <span class="identifier">cast_traits</span><span class="special">::</span><span class="identifier">range_checking_policy</span>
<span class="special">&gt;</span> <span class="identifier">converter</span><span class="special">;</span>
<span class="keyword">return</span> <span class="identifier">converter</span><span class="special">::</span><span class="identifier">convert</span><span class="special">(</span><span class="identifier">arg</span><span class="special">);</span>
<span class="special">}</span>
</pre>
<p>
<code class="computeroutput"><span class="identifier">numeric_cast</span></code> returns the
result of converting a value of type Source to a value of type Target. If
out-of-range is detected, an exception is thrown (see <a class="link" href="numeric_converter_policy_classes.html#numeric_conversion_bad_numeric_cast">bad_numeric_cast</a>,
out-of-range is detected, an overflow policy is executed whose default behavior
is to throw an an exception (see <a class="link" href="numeric_converter_policy_classes.html#numeric_conversion_bad_numeric_cast">bad_numeric_cast</a>,
<a class="link" href="numeric_converter_policy_classes.html#numeric_conversion_negative_overflow">negative_overflow</a>
and <a class="link" href="numeric_converter_policy_classes.html#numeric_conversion_possitive_overflow">positive_overflow</a>
).
</p>
</div>
<div class="section" title="Examples">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.improved_numeric_cast__.numeric_cast_traits"></a><a class="link" href="improved_numeric_cast__.html#boost_numericconversion.improved_numeric_cast__.numeric_cast_traits" title="numeric_cast_traits">numeric_cast_traits</a>
</h3></div></div></div>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">Target</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">Source</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">EnableIf</span> <span class="special">=</span> <span class="keyword">void</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">numeric_cast_traits</span>
<span class="special">{</span>
<span class="keyword">typedef</span> <span class="identifier">def_overflow_handler</span> <span class="identifier">overflow_policy</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">UseInternalRangeChecker</span> <span class="identifier">range_checking_policy</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">Trunc</span><span class="special">&lt;</span><span class="identifier">Source</span><span class="special">&gt;</span> <span class="identifier">rounding_policy</span><span class="special">;</span>
<span class="special">};</span>
</pre>
<p>
The behavior of <code class="computeroutput"><span class="identifier">numeric_cast</span></code>
may be tailored for custom numeric types through the specialization of <code class="computeroutput"><span class="identifier">numeric_cast_traits</span></code>. (see <a class="link" href="type_requirements_and_user_defined_types_support.html" title="Type Requirements and User-defined-types support">User
Defined Types</a> for details. )
</p>
</div>
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.improved_numeric_cast__.examples"></a><a class="link" href="improved_numeric_cast__.html#boost_numericconversion.improved_numeric_cast__.examples" title="Examples">Examples</a>
</h3></div></div></div>
@ -105,11 +136,11 @@
</p>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
include &lt;boost/numeric/conversion/cast.hpp&gt;
</li>
include &lt;boost/numeric/conversion/cast.hpp&gt;
</li>
<li class="listitem">
include &lt;iostream&gt;
</li>
include &lt;iostream&gt;
</li>
</ol></div>
<pre class="programlisting"><span class="keyword">int</span> <span class="identifier">main</span><span class="special">()</span>
<span class="special">{</span>
@ -122,8 +153,8 @@
<span class="keyword">try</span>
<span class="special">{</span>
<span class="keyword">int</span> <span class="identifier">i</span><span class="special">=</span><span class="number">42</span><span class="special">;</span>
<span class="keyword">short</span> <span class="identifier">s</span><span class="special">=</span><span class="identifier">numeric_cast</span><span class="special">&lt;</span><span class="keyword">short</span><span class="special">&gt;(</span><span class="identifier">i</span><span class="special">);</span> <span class="comment">// This conversion succeeds (is in range)
</span> <span class="special">}</span>
<span class="keyword">short</span> <span class="identifier">s</span><span class="special">=</span><span class="identifier">numeric_cast</span><span class="special">&lt;</span><span class="keyword">short</span><span class="special">&gt;(</span><span class="identifier">i</span><span class="special">);</span> <span class="comment">// This conversion succeeds (is in range)</span>
<span class="special">}</span>
<span class="keyword">catch</span><span class="special">(</span><span class="identifier">negative_overflow</span><span class="special">&amp;</span> <span class="identifier">e</span><span class="special">)</span> <span class="special">{</span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">e</span><span class="special">.</span><span class="identifier">what</span><span class="special">();</span>
<span class="special">}</span>
@ -135,23 +166,23 @@
<span class="special">{</span>
<span class="keyword">float</span> <span class="identifier">f</span><span class="special">=-</span><span class="number">42.1234</span><span class="special">;</span>
<span class="comment">// This will cause a boost::numeric::negative_overflow exception to be thrown
</span> <span class="keyword">unsigned</span> <span class="keyword">int</span> <span class="identifier">i</span><span class="special">=</span><span class="identifier">numeric_cast</span><span class="special">&lt;</span><span class="keyword">unsigned</span> <span class="keyword">int</span><span class="special">&gt;(</span><span class="identifier">f</span><span class="special">);</span>
<span class="comment">// This will cause a boost::numeric::negative_overflow exception to be thrown</span>
<span class="keyword">unsigned</span> <span class="keyword">int</span> <span class="identifier">i</span><span class="special">=</span><span class="identifier">numeric_cast</span><span class="special">&lt;</span><span class="keyword">unsigned</span> <span class="keyword">int</span><span class="special">&gt;(</span><span class="identifier">f</span><span class="special">);</span>
<span class="special">}</span>
<span class="keyword">catch</span><span class="special">(</span><span class="identifier">bad_numeric_cast</span><span class="special">&amp;</span> <span class="identifier">e</span><span class="special">)</span> <span class="special">{</span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">e</span><span class="special">.</span><span class="identifier">what</span><span class="special">();</span>
<span class="special">}</span>
<span class="keyword">double</span> <span class="identifier">d</span><span class="special">=</span> <span class="identifier">f</span> <span class="special">+</span> <span class="identifier">numeric_cast</span><span class="special">&lt;</span><span class="keyword">double</span><span class="special">&gt;(</span><span class="number">123</span><span class="special">);</span> <span class="comment">// int -&gt; double
</span>
<span class="keyword">double</span> <span class="identifier">d</span><span class="special">=</span> <span class="identifier">f</span> <span class="special">+</span> <span class="identifier">numeric_cast</span><span class="special">&lt;</span><span class="keyword">double</span><span class="special">&gt;(</span><span class="number">123</span><span class="special">);</span> <span class="comment">// int -&gt; double</span>
<span class="keyword">unsigned</span> <span class="keyword">long</span> <span class="identifier">l</span><span class="special">=</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="keyword">unsigned</span> <span class="keyword">long</span><span class="special">&gt;::</span><span class="identifier">max</span><span class="special">();</span>
<span class="keyword">try</span>
<span class="special">{</span>
<span class="comment">// This will cause a boost::numeric::positive_overflow exception to be thrown
</span> <span class="comment">// NOTE: *operations* on unsigned integral types cannot cause overflow
</span> <span class="comment">// but *conversions* to a signed type ARE range checked by numeric_cast.
</span>
<span class="comment">// This will cause a boost::numeric::positive_overflow exception to be thrown</span>
<span class="comment">// NOTE: *operations* on unsigned integral types cannot cause overflow</span>
<span class="comment">// but *conversions* to a signed type ARE range checked by numeric_cast.</span>
<span class="keyword">unsigned</span> <span class="keyword">char</span> <span class="identifier">c</span><span class="special">=</span><span class="identifier">numeric_cast</span><span class="special">&lt;</span><span class="keyword">unsigned</span> <span class="keyword">char</span><span class="special">&gt;(</span><span class="identifier">l</span><span class="special">);</span>
<span class="special">}</span>
<span class="keyword">catch</span><span class="special">(</span><span class="identifier">positive_overflow</span><span class="special">&amp;</span> <span class="identifier">e</span><span class="special">)</span> <span class="special">{</span>
@ -166,7 +197,8 @@
</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 © 2004 -2007 Fernando Luis Cacciola Carballal<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2004-2007 Fernando
Luis Cacciola Carballal<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>
@ -174,7 +206,7 @@
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@ -13,21 +13,21 @@
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<div class="section" title="Numeric Converter Policy Classes">
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<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="boost_numericconversion.numeric_converter_policy_classes"></a><a class="link" href="numeric_converter_policy_classes.html" title="Numeric Converter Policy Classes">Numeric
Converter Policy Classes</a>
</h2></div></div></div>
<div class="toc"><dl>
<div class="toc"><dl class="toc">
<dt><span class="section"><a href="numeric_converter_policy_classes.html#boost_numericconversion.numeric_converter_policy_classes.enum_range_check_result">enum
range_check_result</a></span></dt>
<dt><span class="section"><a href="numeric_converter_policy_classes.html#boost_numericconversion.numeric_converter_policy_classes.policy_overflowhandler">Policy
@ -39,7 +39,7 @@
<dt><span class="section"><a href="numeric_converter_policy_classes.html#boost_numericconversion.numeric_converter_policy_classes.policy_userrangechecker">Policy
UserRangeChecker</a></span></dt>
</dl></div>
<div class="section" title="enum range_check_result">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.numeric_converter_policy_classes.enum_range_check_result"></a><a class="link" href="numeric_converter_policy_classes.html#boost_numericconversion.numeric_converter_policy_classes.enum_range_check_result" title="enum range_check_result">enum
range_check_result</a>
@ -59,7 +59,7 @@
Defines the values returned by <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">converter</span><span class="special">&lt;&gt;::</span><span class="identifier">out_of_range</span><span class="special">()</span></code>
</p>
</div>
<div class="section" title="Policy OverflowHandler">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.numeric_converter_policy_classes.policy_overflowhandler"></a><a class="link" href="numeric_converter_policy_classes.html#boost_numericconversion.numeric_converter_policy_classes.policy_overflowhandler" title="Policy OverflowHandler">Policy
OverflowHandler</a>
@ -76,8 +76,8 @@
</p>
<pre class="programlisting"><span class="keyword">struct</span> <span class="identifier">YourOverflowHandlerPolicy</span>
<span class="special">{</span>
<span class="keyword">void</span> <span class="keyword">operator</span><span class="special">()</span> <span class="special">(</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">range_check_result</span> <span class="special">)</span> <span class="special">;</span> <span class="comment">// throw bad_cast or derived
</span><span class="special">}</span> <span class="special">;</span>
<span class="keyword">void</span> <span class="keyword">operator</span><span class="special">()</span> <span class="special">(</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">range_check_result</span> <span class="special">)</span> <span class="special">;</span> <span class="comment">// throw bad_cast or derived</span>
<span class="special">}</span> <span class="special">;</span>
</pre>
<p>
It is called with the result of the converter's <code class="computeroutput"><span class="identifier">out_of_range</span><span class="special">()</span></code> inside <code class="computeroutput"><span class="identifier">validate_range</span><span class="special">()</span></code>.
@ -89,8 +89,8 @@
<span class="keyword">struct</span> <span class="identifier">def_overflow_handler</span>
<span class="special">{</span>
<span class="keyword">void</span> <span class="keyword">operator</span><span class="special">()</span> <span class="special">(</span> <span class="identifier">range_check_result</span> <span class="identifier">r</span> <span class="special">)</span> <span class="comment">// throw bad_numeric_conversion derived
</span> <span class="special">{</span>
<span class="keyword">void</span> <span class="keyword">operator</span><span class="special">()</span> <span class="special">(</span> <span class="identifier">range_check_result</span> <span class="identifier">r</span> <span class="special">)</span> <span class="comment">// throw bad_numeric_conversion derived</span>
<span class="special">{</span>
<span class="keyword">if</span> <span class="special">(</span> <span class="identifier">r</span> <span class="special">==</span> <span class="identifier">cNegOverflow</span> <span class="special">)</span>
<span class="keyword">throw</span> <span class="identifier">negative_overflow</span><span class="special">()</span> <span class="special">;</span>
<span class="keyword">else</span> <span class="keyword">if</span> <span class="special">(</span> <span class="identifier">r</span> <span class="special">==</span> <span class="identifier">cPosOverflow</span> <span class="special">)</span>
@ -100,8 +100,8 @@
<span class="keyword">struct</span> <span class="identifier">silent_overflow_handler</span>
<span class="special">{</span>
<span class="keyword">void</span> <span class="keyword">operator</span><span class="special">()</span> <span class="special">(</span> <span class="identifier">range_check_result</span> <span class="special">)</span> <span class="comment">// no-throw
</span> <span class="special">{}</span>
<span class="keyword">void</span> <span class="keyword">operator</span><span class="special">()</span> <span class="special">(</span> <span class="identifier">range_check_result</span> <span class="special">)</span> <span class="comment">// no-throw</span>
<span class="special">{}</span>
<span class="special">}</span> <span class="special">;</span>
<span class="special">}</span> <span class="special">}</span>
@ -111,35 +111,35 @@
<a class="link" href="numeric_converter_policy_classes.html#numeric_conversion_policy_overflow_handler_important_note">(see
IMPORTANT note)</a>
</p>
<a name="numeric_conversion_bad_numeric_cast"></a><a name="numeric_conversion_negative_overflow"></a><a name="numeric_conversion_possitive_overflow"></a><pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">numeric</span> <span class="special">{</span>
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">numeric</span> <span class="special">{</span>
<a name="numeric_conversion_bad_numeric_cast"></a>
<span class="keyword">class</span> <span class="identifier">bad_numeric_cast</span> <span class="special">:</span> <span class="keyword">public</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">bad_cast</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
<span class="keyword">virtual</span> <span class="keyword">const</span> <span class="keyword">char</span> <span class="special">*</span><span class="identifier">what</span><span class="special">()</span> <span class="keyword">const</span> <span class="comment">// throw()
</span> <span class="special">{</span>
<span class="keyword">virtual</span> <span class="keyword">const</span> <span class="keyword">char</span> <span class="special">*</span><span class="identifier">what</span><span class="special">()</span> <span class="keyword">const</span> <span class="comment">// throw()</span>
<span class="special">{</span>
<span class="keyword">return</span> <span class="string">"bad numeric conversion: overflow"</span><span class="special">;</span>
<span class="special">}</span>
<span class="special">};</span>
<a name="numeric_conversion_negative_overflow"></a>
<span class="keyword">class</span> <span class="identifier">negative_overflow</span> <span class="special">:</span> <span class="keyword">public</span> <span class="identifier">bad_numeric_cast</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
<span class="keyword">virtual</span> <span class="keyword">const</span> <span class="keyword">char</span> <span class="special">*</span><span class="identifier">what</span><span class="special">()</span> <span class="keyword">const</span> <span class="comment">// throw()
</span> <span class="special">{</span>
<span class="keyword">virtual</span> <span class="keyword">const</span> <span class="keyword">char</span> <span class="special">*</span><span class="identifier">what</span><span class="special">()</span> <span class="keyword">const</span> <span class="comment">// throw()</span>
<span class="special">{</span>
<span class="keyword">return</span> <span class="string">"bad numeric conversion: negative overflow"</span><span class="special">;</span>
<span class="special">}</span>
<span class="special">};</span>
<a name="numeric_conversion_possitive_overflow"></a>
<span class="keyword">class</span> <span class="identifier">positive_overflow</span> <span class="special">:</span> <span class="keyword">public</span> <span class="identifier">bad_numeric_cast</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
<span class="keyword">virtual</span> <span class="keyword">const</span> <span class="keyword">char</span> <span class="special">*</span><span class="identifier">what</span><span class="special">()</span> <span class="keyword">const</span> <span class="comment">// throw()
</span> <span class="special">{</span>
<span class="keyword">virtual</span> <span class="keyword">const</span> <span class="keyword">char</span> <span class="special">*</span><span class="identifier">what</span><span class="special">()</span> <span class="keyword">const</span> <span class="comment">// throw()</span>
<span class="special">{</span>
<span class="keyword">return</span> <span class="string">"bad numeric conversion: positive overflow"</span><span class="special">;</span>
<span class="special">}</span>
<span class="special">};</span>
@ -147,11 +147,9 @@
<span class="special">}</span> <span class="special">}</span>
</pre>
<a name="numeric_conversion_policy_overflow_handler_important_note"></a><p>
</p>
<div class="important" title="Important"><table border="0" summary="Important">
<a name="numeric_conversion_policy_overflow_handler_important_note"></a><div class="important"><table border="0" summary="Important">
<tr>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Important]" src="../../../../../../doc/html/images/important.png"></td>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Important]" src="../../../../../../doc/src/images/important.png"></td>
<th align="left">Important</th>
</tr>
<tr><td align="left" valign="top"><p>
@ -169,7 +167,7 @@
</p></td></tr>
</table></div>
</div>
<div class="section" title="Policy Float2IntRounder">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.numeric_converter_policy_classes.policy_float2introunder"></a><a class="link" href="numeric_converter_policy_classes.html#boost_numericconversion.numeric_converter_policy_classes.policy_float2introunder" title="Policy Float2IntRounder">Policy
Float2IntRounder</a>
@ -200,9 +198,9 @@
These are the rounder classes provided by the library (only the specific
parts are shown, see the general policy form above)
</p>
<div class="note" title="Note"><table border="0" summary="Note">
<div class="note"><table border="0" summary="Note">
<tr>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../../../doc/html/images/note.png"></td>
<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>
@ -265,11 +263,11 @@
<span class="keyword">typedef</span> <span class="identifier">mpl</span><span class="special">::</span><span class="identifier">integral_c</span><span class="special">&lt;</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">float_round_style</span><span class="special">,</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">round_toward_neg_infinity</span><span class="special">&gt;</span> <span class="identifier">round_style</span> <span class="special">;</span>
<span class="special">}</span> <span class="special">;</span>
<span class="special">}</span> <span class="special">}</span> <span class="comment">// namespace numeric, namespace boost
</span></pre>
<a name="boost_numericconversion.numeric_converter_policy_classes.policy_float2introunder.math_functions_used_by_the_rounder_policies"></a><h5>
<a name="id572764"></a>
<a class="link" href="numeric_converter_policy_classes.html#boost_numericconversion.numeric_converter_policy_classes.policy_float2introunder.math_functions_used_by_the_rounder_policies">Math
<span class="special">}</span> <span class="special">}</span> <span class="comment">// namespace numeric, namespace boost</span>
</pre>
<h5>
<a name="boost_numericconversion.numeric_converter_policy_classes.policy_float2introunder.h0"></a>
<span class="phrase"><a name="boost_numericconversion.numeric_converter_policy_classes.policy_float2introunder.math_functions_used_by_the_rounder_policies"></a></span><a class="link" href="numeric_converter_policy_classes.html#boost_numericconversion.numeric_converter_policy_classes.policy_float2introunder.math_functions_used_by_the_rounder_policies">Math
Functions used by the rounder policies</a>
</h5>
<p>
@ -291,7 +289,7 @@
Defined Numeric Types</a> support.
</p>
</div>
<div class="section" title="Policy RawConverter">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.numeric_converter_policy_classes.policy_rawconverter"></a><a class="link" href="numeric_converter_policy_classes.html#boost_numericconversion.numeric_converter_policy_classes.policy_rawconverter" title="Policy RawConverter">Policy
RawConverter</a>
@ -332,14 +330,14 @@
<span class="keyword">static</span> <span class="identifier">result_type</span> <span class="identifier">low_level_convert</span> <span class="special">(</span> <span class="identifier">argument_type</span> <span class="identifier">s</span> <span class="special">)</span>
<span class="special">{</span>
<span class="keyword">return</span> <span class="keyword">static_cast</span><span class="special">&lt;</span><span class="identifier">result_type</span><span class="special">&gt;(</span><span class="identifier">s</span><span class="special">)</span> <span class="special">;</span>
<span class="keyword">return</span> <span class="keyword">static_cast</span><span class="special">&lt;</span><span class="identifier">result_type</span><span class="special">&gt;(</span><span class="identifier">s</span><span class="special">)</span> <span class="special">;</span>
<span class="special">}</span>
<span class="special">}</span> <span class="special">;</span>
<span class="special">}</span> <span class="special">}</span>
</pre>
</div>
<div class="section" title="Policy UserRangeChecker">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.numeric_converter_policy_classes.policy_userrangechecker"></a><a class="link" href="numeric_converter_policy_classes.html#boost_numericconversion.numeric_converter_policy_classes.policy_userrangechecker" title="Policy UserRangeChecker">Policy
UserRangeChecker</a>
@ -360,12 +358,12 @@
<span class="special">{</span>
<span class="keyword">typedef</span> <span class="keyword">typename</span> <span class="identifier">Traits</span><span class="special">::</span><span class="identifier">argument_type</span> <span class="identifier">argument_type</span> <span class="special">;</span>
<span class="comment">// Determines if the value 's' fits in the range of the Target type.
</span> <span class="keyword">static</span> <span class="identifier">range_check_result</span> <span class="identifier">out_of_range</span> <span class="special">(</span> <span class="identifier">argument_type</span> <span class="identifier">s</span> <span class="special">)</span> <span class="special">;</span>
<span class="comment">// Determines if the value 's' fits in the range of the Target type.</span>
<span class="keyword">static</span> <span class="identifier">range_check_result</span> <span class="identifier">out_of_range</span> <span class="special">(</span> <span class="identifier">argument_type</span> <span class="identifier">s</span> <span class="special">)</span> <span class="special">;</span>
<span class="comment">// Checks whether the value 's' is out_of_range()
</span> <span class="comment">// and passes the result of the check to the OverflowHandler policy.
</span> <span class="keyword">static</span> <span class="keyword">void</span> <span class="identifier">validate_range</span> <span class="special">(</span> <span class="identifier">argument_type</span> <span class="identifier">s</span> <span class="special">)</span>
<span class="comment">// Checks whether the value 's' is out_of_range()</span>
<span class="comment">// and passes the result of the check to the OverflowHandler policy.</span>
<span class="keyword">static</span> <span class="keyword">void</span> <span class="identifier">validate_range</span> <span class="special">(</span> <span class="identifier">argument_type</span> <span class="identifier">s</span> <span class="special">)</span>
<span class="special">{</span>
<span class="identifier">OverflowHandler</span><span class="special">()(</span> <span class="identifier">out_of_range</span><span class="special">(</span><span class="identifier">s</span><span class="special">)</span> <span class="special">)</span> <span class="special">;</span>
<span class="special">}</span>
@ -382,7 +380,8 @@
</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 © 2004 -2007 Fernando Luis Cacciola Carballal<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2004-2007 Fernando
Luis Cacciola Carballal<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>
@ -390,7 +389,7 @@
</tr></table>
<hr>
<div class="spirit-nav">
<a accesskey="p" href="conversion_traits___traits_class.html"><img src="../../../../../../doc/html/images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../../../../../../doc/html/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../../doc/html/images/home.png" alt="Home"></a><a accesskey="n" href="improved_numeric_cast__.html"><img src="../../../../../../doc/html/images/next.png" alt="Next"></a>
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@ -1,11 +1,11 @@
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<head>
<meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1">
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Type Requirements and User-defined-types support</title>
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<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
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<link rel="next" href="bounds___traits_class.html" title="bounds&lt;&gt; traits class">
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@ -13,29 +13,31 @@
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<td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../../../boost.png"></td>
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</div>
<div class="section" title="Type Requirements and User-defined-types support">
<div class="section">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="boost_numericconversion.type_requirements_and_user_defined_types_support"></a><a class="link" href="type_requirements_and_user_defined_types_support.html" title="Type Requirements and User-defined-types support">Type
Requirements and User-defined-types support</a>
</h2></div></div></div>
<div class="toc"><dl>
<div class="toc"><dl class="toc">
<dt><span class="section"><a href="type_requirements_and_user_defined_types_support.html#boost_numericconversion.type_requirements_and_user_defined_types_support.type_requirements">Type
Requirements</a></span></dt>
<dt><span class="section"><a href="type_requirements_and_user_defined_types_support.html#boost_numericconversion.type_requirements_and_user_defined_types_support.udt_s_special_semantics">UDT's
special semantics</a></span></dt>
<dt><span class="section"><a href="type_requirements_and_user_defined_types_support.html#boost_numericconversion.type_requirements_and_user_defined_types_support.special_policies">Special
Policies</a></span></dt>
<dt><span class="section"><a href="type_requirements_and_user_defined_types_support.html#boost_numericconversion.type_requirements_and_user_defined_types_support.udts_with_numeric_cast">UDTs
with numeric_cast</a></span></dt>
</dl></div>
<div class="section" title="Type Requirements">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.type_requirements_and_user_defined_types_support.type_requirements"></a><a class="link" href="type_requirements_and_user_defined_types_support.html#boost_numericconversion.type_requirements_and_user_defined_types_support.type_requirements" title="Type Requirements">Type
Requirements</a>
@ -73,14 +75,14 @@
user defined types require a visible <code class="computeroutput"><span class="keyword">operator</span><span class="special">&lt;</span></code> in order to use the <code class="computeroutput"><span class="identifier">Trunc</span><span class="special">&lt;&gt;</span></code> policy (the default).
</p>
</div>
<div class="section" title="UDT's special semantics">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.type_requirements_and_user_defined_types_support.udt_s_special_semantics"></a><a class="link" href="type_requirements_and_user_defined_types_support.html#boost_numericconversion.type_requirements_and_user_defined_types_support.udt_s_special_semantics" title="UDT's special semantics">UDT's
special semantics</a>
</h3></div></div></div>
<a name="boost_numericconversion.type_requirements_and_user_defined_types_support.udt_s_special_semantics.conversion_traits"></a><h5>
<a name="id564459"></a>
<a class="link" href="type_requirements_and_user_defined_types_support.html#boost_numericconversion.type_requirements_and_user_defined_types_support.udt_s_special_semantics.conversion_traits">Conversion
<h5>
<a name="boost_numericconversion.type_requirements_and_user_defined_types_support.udt_s_special_semantics.h0"></a>
<span class="phrase"><a name="boost_numericconversion.type_requirements_and_user_defined_types_support.udt_s_special_semantics.conversion_traits"></a></span><a class="link" href="type_requirements_and_user_defined_types_support.html#boost_numericconversion.type_requirements_and_user_defined_types_support.udt_s_special_semantics.conversion_traits">Conversion
Traits</a>
</h5>
<p>
@ -91,40 +93,61 @@
members are hardwired regardless of the reality. The following table summarizes
this:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
<code class="computeroutput"><span class="identifier">Target</span><span class="special">=</span></code><span class="emphasis"><em>UDT</em></span>
and <code class="computeroutput"><span class="identifier">Source</span><span class="special">=</span></code><span class="emphasis"><em>built-in</em></span><div class="itemizedlist"><ul class="itemizedlist" type="circle">
<li class="listitem"><code class="computeroutput"><span class="identifier">subranged</span><span class="special">=</span><span class="keyword">false</span></code></li>
<li class="listitem"><code class="computeroutput"><span class="identifier">supertype</span><span class="special">=</span><span class="identifier">Target</span></code></li>
<li class="listitem"><code class="computeroutput"><span class="identifier">subtype</span><span class="special">=</span><span class="identifier">Source</span></code></li>
</ul></div>
</li>
<code class="computeroutput"><span class="identifier">Target</span><span class="special">=</span></code><span class="emphasis"><em>UDT</em></span>
and <code class="computeroutput"><span class="identifier">Source</span><span class="special">=</span></code><span class="emphasis"><em>built-in</em></span>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: circle; ">
<li class="listitem">
<code class="computeroutput"><span class="identifier">Target</span><span class="special">=</span></code><span class="emphasis"><em>built-in</em></span>
and <code class="computeroutput"><span class="identifier">Source</span><span class="special">=</span></code><span class="emphasis"><em>UDT</em></span><div class="itemizedlist"><ul class="itemizedlist" type="circle">
<li class="listitem"><code class="computeroutput"><span class="identifier">subranged</span><span class="special">=</span><span class="keyword">true</span></code></li>
<li class="listitem"><code class="computeroutput"><span class="identifier">supertype</span><span class="special">=</span><span class="identifier">Source</span></code></li>
<li class="listitem"><code class="computeroutput"><span class="identifier">subtype</span><span class="special">=</span><span class="identifier">Target</span></code></li>
</ul></div>
</li>
<code class="computeroutput"><span class="identifier">subranged</span><span class="special">=</span><span class="keyword">false</span></code>
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">Target</span><span class="special">=</span></code><span class="emphasis"><em>UDT</em></span>
and <code class="computeroutput"><span class="identifier">Source</span><span class="special">=</span></code><span class="emphasis"><em>UDT</em></span><div class="itemizedlist"><ul class="itemizedlist" type="circle">
<li class="listitem"><code class="computeroutput"><span class="identifier">subranged</span><span class="special">=</span><span class="keyword">false</span></code></li>
<li class="listitem"><code class="computeroutput"><span class="identifier">supertype</span><span class="special">=</span><span class="identifier">Target</span></code></li>
<li class="listitem"><code class="computeroutput"><span class="identifier">subtype</span><span class="special">=</span><span class="identifier">Source</span></code></li>
<code class="computeroutput"><span class="identifier">supertype</span><span class="special">=</span><span class="identifier">Target</span></code>
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">subtype</span><span class="special">=</span><span class="identifier">Source</span></code>
</li>
</ul></div>
</li>
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">Target</span><span class="special">=</span></code><span class="emphasis"><em>built-in</em></span>
and <code class="computeroutput"><span class="identifier">Source</span><span class="special">=</span></code><span class="emphasis"><em>UDT</em></span>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: circle; ">
<li class="listitem">
<code class="computeroutput"><span class="identifier">subranged</span><span class="special">=</span><span class="keyword">true</span></code>
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">supertype</span><span class="special">=</span><span class="identifier">Source</span></code>
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">subtype</span><span class="special">=</span><span class="identifier">Target</span></code>
</li>
</ul></div>
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">Target</span><span class="special">=</span></code><span class="emphasis"><em>UDT</em></span>
and <code class="computeroutput"><span class="identifier">Source</span><span class="special">=</span></code><span class="emphasis"><em>UDT</em></span>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: circle; ">
<li class="listitem">
<code class="computeroutput"><span class="identifier">subranged</span><span class="special">=</span><span class="keyword">false</span></code>
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">supertype</span><span class="special">=</span><span class="identifier">Target</span></code>
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">subtype</span><span class="special">=</span><span class="identifier">Source</span></code>
</li>
</ul></div>
</li>
</ul></div>
<p>
The <code class="computeroutput"><span class="identifier">Traits</span></code> member <code class="computeroutput"><span class="identifier">udt_mixture</span></code> can be used to detect whether
a UDT is involved and to infer the validity of the other members as shown
above.
</p>
<a name="boost_numericconversion.type_requirements_and_user_defined_types_support.udt_s_special_semantics.range_checking"></a><h5>
<a name="id564867"></a>
<a class="link" href="type_requirements_and_user_defined_types_support.html#boost_numericconversion.type_requirements_and_user_defined_types_support.udt_s_special_semantics.range_checking">Range
<h5>
<a name="boost_numericconversion.type_requirements_and_user_defined_types_support.udt_s_special_semantics.h1"></a>
<span class="phrase"><a name="boost_numericconversion.type_requirements_and_user_defined_types_support.udt_s_special_semantics.range_checking"></a></span><a class="link" href="type_requirements_and_user_defined_types_support.html#boost_numericconversion.type_requirements_and_user_defined_types_support.udt_s_special_semantics.range_checking">Range
Checking</a>
</h5>
<p>
@ -138,7 +161,7 @@
Policies</a>
</p>
</div>
<div class="section" title="Special Policies">
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.type_requirements_and_user_defined_types_support.special_policies"></a><a class="link" href="type_requirements_and_user_defined_types_support.html#boost_numericconversion.type_requirements_and_user_defined_types_support.special_policies" title="Special Policies">Special
Policies</a>
@ -156,8 +179,8 @@
<p>
However, this internal logic is disabled when either type is User Defined.
In this case, the user can specify an <span class="emphasis"><em>external</em></span> range
checking policy which will be used in place of the internal code. See <a class="link" href="numeric_converter_policy_classes.html#boost_numericconversion.numeric_converter_policy_classes.policy_userrangechecker" title="Policy UserRangeChecker">UserRangeChecker</a>
policy for details.
checking policy which will be used in place of the internal code. See <a class="link" href="type_requirements_and_user_defined_types_support.html#boost_numericconversion.type_requirements_and_user_defined_types_support.udts_with_numeric_cast" title="UDTs with numeric_cast">numeric_cast_traits</a>
for details on using UDTs with <code class="computeroutput"><span class="identifier">numeric_cast</span></code>.
</p>
<p>
The converter class performs the actual conversion using a Raw Converter
@ -167,13 +190,357 @@
However, if the a UDT is involved, the <code class="computeroutput"><span class="keyword">static_cast</span></code>
might not work. In this case, the user can implement and pass a different
raw converter policy. See <a class="link" href="numeric_converter_policy_classes.html#boost_numericconversion.numeric_converter_policy_classes.policy_rawconverter" title="Policy RawConverter">RawConverter</a>
policy for details
policy for details.
</p>
</div>
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numericconversion.type_requirements_and_user_defined_types_support.udts_with_numeric_cast"></a><a class="link" href="type_requirements_and_user_defined_types_support.html#boost_numericconversion.type_requirements_and_user_defined_types_support.udts_with_numeric_cast" title="UDTs with numeric_cast">UDTs
with numeric_cast</a>
</h3></div></div></div>
<p>
In order to employ UDTs with <code class="computeroutput"><span class="identifier">numeric_cast</span></code>,
the user should define a <code class="computeroutput"><span class="identifier">numeric_cast_traits</span></code>
specialization on the UDT for each conversion. Here is an example of specializations
for converting between the UDT and any other type:
</p>
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">numeric</span> <span class="special">{</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">Source</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">numeric_cast_traits</span><span class="special">&lt;</span><span class="identifier">UDT</span><span class="special">,</span> <span class="identifier">Source</span><span class="special">&gt;</span>
<span class="special">{</span>
<span class="keyword">typedef</span> <span class="identifier">conversion_traits</span><span class="special">&lt;</span><span class="identifier">UDT</span><span class="special">,</span> <span class="identifier">Source</span><span class="special">&gt;</span> <span class="identifier">conv_traits</span><span class="special">;</span>
<span class="comment">//! The following are required:</span>
<span class="keyword">typedef</span> <span class="identifier">YourOverflowHandlerPolicy</span> <span class="identifier">overflow_policy</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">YourRangeCheckerPolicy</span><span class="special">&lt;</span><span class="identifier">conv_traits</span><span class="special">&gt;</span> <span class="identifier">range_checking_policy</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">YourFloat2IntRounderPolicy</span><span class="special">&lt;</span><span class="identifier">Source</span><span class="special">&gt;</span> <span class="identifier">rounding_policy</span><span class="special">;</span>
<span class="special">};</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">Target</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">numeric_cast_traits</span><span class="special">&lt;</span><span class="identifier">Target</span><span class="special">,</span> <span class="identifier">UDT</span><span class="special">&gt;</span>
<span class="special">{</span>
<span class="keyword">typedef</span> <span class="identifier">conversion_traits</span><span class="special">&lt;</span><span class="identifier">Target</span><span class="special">,</span> <span class="identifier">UDT</span><span class="special">&gt;</span> <span class="identifier">conv_traits</span><span class="special">;</span>
<span class="comment">//! The following are required:</span>
<span class="keyword">typedef</span> <span class="identifier">YourOverflowHandlerPolicy</span> <span class="identifier">overflow_policy</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">YourRangeCheckerPolicy</span><span class="special">&lt;</span><span class="identifier">conv_traits</span><span class="special">&gt;</span> <span class="identifier">range_checking_policy</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">YourFloat2IntRounderPolicy</span><span class="special">&lt;</span><span class="identifier">UDT</span><span class="special">&gt;</span> <span class="identifier">rounding_policy</span><span class="special">;</span>
<span class="special">};</span>
<span class="special">}}//</span><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">;</span>
</pre>
<p>
These specializations are already defined with default values for the built-in
numeric types. It is possible to disable the generation of specializations
for built-in types by defining <code class="computeroutput"><span class="identifier">BOOST_NUMERIC_CONVERSION_RELAX_BUILT_IN_CAST_TRAITS</span></code>.
For details on defining custom policies see <a class="link" href="numeric_converter_policy_classes.html" title="Numeric Converter Policy Classes">Converter
Policies</a>.
</p>
<p>
Here is a full example of how to define a custom UDT for use with <code class="computeroutput"><span class="identifier">numeric_cast</span></code>:
</p>
<pre class="programlisting"><span class="comment">//! Define a simple custom number</span>
<span class="keyword">struct</span> <span class="identifier">Double</span>
<span class="special">:</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">ordered_field_operators</span>
<span class="special">&lt;</span>
<span class="identifier">Double</span>
<span class="special">,</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">ordered_field_operators2</span><span class="special">&lt;</span> <span class="identifier">Double</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span>
<span class="special">,</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">ordered_field_operators2</span><span class="special">&lt;</span> <span class="identifier">Double</span><span class="special">,</span> <span class="keyword">double</span>
<span class="special">,</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">ordered_field_operators2</span><span class="special">&lt;</span> <span class="identifier">Double</span><span class="special">,</span> <span class="keyword">float</span>
<span class="special">,</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">ordered_field_operators2</span><span class="special">&lt;</span> <span class="identifier">Double</span><span class="special">,</span> <span class="keyword">int</span>
<span class="special">,</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">ordered_field_operators2</span><span class="special">&lt;</span> <span class="identifier">Double</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="keyword">int</span>
<span class="special">,</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">ordered_field_operators2</span><span class="special">&lt;</span> <span class="identifier">Double</span><span class="special">,</span> <span class="keyword">long</span>
<span class="special">,</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">ordered_field_operators2</span><span class="special">&lt;</span> <span class="identifier">Double</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="keyword">long</span>
<span class="special">,</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">ordered_field_operators2</span><span class="special">&lt;</span> <span class="identifier">Double</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">long</span>
<span class="special">,</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">ordered_field_operators2</span><span class="special">&lt;</span> <span class="identifier">Double</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="keyword">long</span> <span class="keyword">long</span>
<span class="special">,</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">ordered_field_operators2</span><span class="special">&lt;</span> <span class="identifier">Double</span><span class="special">,</span> <span class="keyword">char</span>
<span class="special">,</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">ordered_field_operators2</span><span class="special">&lt;</span> <span class="identifier">Double</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="keyword">char</span>
<span class="special">,</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">ordered_field_operators2</span><span class="special">&lt;</span> <span class="identifier">Double</span><span class="special">,</span> <span class="keyword">short</span>
<span class="special">,</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">ordered_field_operators2</span><span class="special">&lt;</span> <span class="identifier">Double</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="keyword">short</span>
<span class="special">&gt;</span> <span class="special">&gt;</span> <span class="special">&gt;</span> <span class="special">&gt;</span> <span class="special">&gt;</span> <span class="special">&gt;</span> <span class="special">&gt;</span> <span class="special">&gt;</span> <span class="special">&gt;</span> <span class="special">&gt;</span> <span class="special">&gt;</span> <span class="special">&gt;</span> <span class="special">&gt;</span> <span class="special">&gt;</span>
<span class="special">{</span>
<span class="identifier">Double</span><span class="special">()</span>
<span class="special">:</span> <span class="identifier">v</span><span class="special">(</span><span class="number">0</span><span class="special">)</span>
<span class="special">{}</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">T</span><span class="special">&gt;</span>
<span class="keyword">explicit</span> <span class="identifier">Double</span><span class="special">(</span> <span class="identifier">T</span> <span class="identifier">v</span> <span class="special">)</span>
<span class="special">:</span> <span class="identifier">v</span><span class="special">(</span><span class="keyword">static_cast</span><span class="special">&lt;</span><span class="keyword">double</span><span class="special">&gt;(</span><span class="identifier">v</span><span class="special">))</span>
<span class="special">{}</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">T</span><span class="special">&gt;</span>
<span class="identifier">Double</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">=</span> <span class="special">(</span> <span class="identifier">T</span> <span class="identifier">t</span> <span class="special">)</span>
<span class="special">{</span>
<span class="identifier">v</span> <span class="special">=</span> <span class="keyword">static_cast</span><span class="special">&lt;</span><span class="keyword">double</span><span class="special">&gt;(</span><span class="identifier">t</span><span class="special">);</span>
<span class="keyword">return</span> <span class="special">*</span><span class="keyword">this</span><span class="special">;</span>
<span class="special">}</span>
<span class="keyword">bool</span> <span class="keyword">operator</span> <span class="special">&lt;</span> <span class="special">(</span> <span class="keyword">const</span> <span class="identifier">Double</span><span class="special">&amp;</span> <span class="identifier">rhs</span> <span class="special">)</span> <span class="keyword">const</span>
<span class="special">{</span>
<span class="keyword">return</span> <span class="identifier">v</span> <span class="special">&lt;</span> <span class="identifier">rhs</span><span class="special">.</span><span class="identifier">v</span><span class="special">;</span>
<span class="special">}</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">T</span><span class="special">&gt;</span>
<span class="keyword">bool</span> <span class="keyword">operator</span> <span class="special">&lt;</span> <span class="special">(</span> <span class="identifier">T</span> <span class="identifier">rhs</span> <span class="special">)</span> <span class="keyword">const</span>
<span class="special">{</span>
<span class="keyword">return</span> <span class="identifier">v</span> <span class="special">&lt;</span> <span class="keyword">static_cast</span><span class="special">&lt;</span><span class="keyword">double</span><span class="special">&gt;(</span><span class="identifier">rhs</span><span class="special">);</span>
<span class="special">}</span>
<span class="keyword">bool</span> <span class="keyword">operator</span> <span class="special">&gt;</span> <span class="special">(</span> <span class="keyword">const</span> <span class="identifier">Double</span><span class="special">&amp;</span> <span class="identifier">rhs</span> <span class="special">)</span> <span class="keyword">const</span>
<span class="special">{</span>
<span class="keyword">return</span> <span class="identifier">v</span> <span class="special">&gt;</span> <span class="identifier">rhs</span><span class="special">.</span><span class="identifier">v</span><span class="special">;</span>
<span class="special">}</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">T</span><span class="special">&gt;</span>
<span class="keyword">bool</span> <span class="keyword">operator</span> <span class="special">&gt;</span> <span class="special">(</span> <span class="identifier">T</span> <span class="identifier">rhs</span> <span class="special">)</span> <span class="keyword">const</span>
<span class="special">{</span>
<span class="keyword">return</span> <span class="identifier">v</span> <span class="special">&gt;</span> <span class="keyword">static_cast</span><span class="special">&lt;</span><span class="keyword">double</span><span class="special">&gt;(</span><span class="identifier">rhs</span><span class="special">);</span>
<span class="special">}</span>
<span class="keyword">bool</span> <span class="keyword">operator</span> <span class="special">==(</span> <span class="keyword">const</span> <span class="identifier">Double</span><span class="special">&amp;</span> <span class="identifier">rhs</span> <span class="special">)</span> <span class="keyword">const</span>
<span class="special">{</span>
<span class="keyword">return</span> <span class="identifier">v</span> <span class="special">==</span> <span class="identifier">rhs</span><span class="special">.</span><span class="identifier">v</span><span class="special">;</span>
<span class="special">}</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">T</span><span class="special">&gt;</span>
<span class="keyword">bool</span> <span class="keyword">operator</span> <span class="special">==</span> <span class="special">(</span> <span class="identifier">T</span> <span class="identifier">rhs</span> <span class="special">)</span> <span class="keyword">const</span>
<span class="special">{</span>
<span class="keyword">return</span> <span class="identifier">v</span> <span class="special">==</span> <span class="keyword">static_cast</span><span class="special">&lt;</span><span class="keyword">double</span><span class="special">&gt;(</span><span class="identifier">rhs</span><span class="special">);</span>
<span class="special">}</span>
<span class="keyword">bool</span> <span class="keyword">operator</span> <span class="special">!()</span> <span class="keyword">const</span>
<span class="special">{</span>
<span class="keyword">return</span> <span class="identifier">v</span> <span class="special">==</span> <span class="number">0</span><span class="special">;</span>
<span class="special">}</span>
<span class="identifier">Double</span> <span class="keyword">operator</span> <span class="special">-()</span> <span class="keyword">const</span>
<span class="special">{</span>
<span class="keyword">return</span> <span class="identifier">Double</span><span class="special">(-</span><span class="identifier">v</span><span class="special">);</span>
<span class="special">}</span>
<span class="identifier">Double</span><span class="special">&amp;</span> <span class="keyword">operator</span> <span class="special">+=(</span> <span class="keyword">const</span> <span class="identifier">Double</span><span class="special">&amp;</span> <span class="identifier">t</span> <span class="special">)</span>
<span class="special">{</span>
<span class="identifier">v</span> <span class="special">+=</span> <span class="identifier">t</span><span class="special">.</span><span class="identifier">v</span><span class="special">;</span>
<span class="keyword">return</span> <span class="special">*</span><span class="keyword">this</span><span class="special">;</span>
<span class="special">}</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">T</span><span class="special">&gt;</span>
<span class="identifier">Double</span><span class="special">&amp;</span> <span class="keyword">operator</span> <span class="special">+=(</span> <span class="identifier">T</span> <span class="identifier">t</span> <span class="special">)</span>
<span class="special">{</span>
<span class="identifier">v</span> <span class="special">+=</span> <span class="keyword">static_cast</span><span class="special">&lt;</span><span class="keyword">double</span><span class="special">&gt;(</span><span class="identifier">t</span><span class="special">);</span>
<span class="keyword">return</span> <span class="special">*</span><span class="keyword">this</span><span class="special">;</span>
<span class="special">}</span>
<span class="identifier">Double</span><span class="special">&amp;</span> <span class="keyword">operator</span> <span class="special">-=(</span> <span class="keyword">const</span> <span class="identifier">Double</span><span class="special">&amp;</span> <span class="identifier">t</span> <span class="special">)</span>
<span class="special">{</span>
<span class="identifier">v</span> <span class="special">-=</span> <span class="identifier">t</span><span class="special">.</span><span class="identifier">v</span><span class="special">;</span>
<span class="keyword">return</span> <span class="special">*</span><span class="keyword">this</span><span class="special">;</span>
<span class="special">}</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">T</span><span class="special">&gt;</span>
<span class="identifier">Double</span><span class="special">&amp;</span> <span class="keyword">operator</span> <span class="special">-=(</span> <span class="identifier">T</span> <span class="identifier">t</span> <span class="special">)</span>
<span class="special">{</span>
<span class="identifier">v</span> <span class="special">-=</span> <span class="keyword">static_cast</span><span class="special">&lt;</span><span class="keyword">double</span><span class="special">&gt;(</span><span class="identifier">t</span><span class="special">);</span>
<span class="keyword">return</span> <span class="special">*</span><span class="keyword">this</span><span class="special">;</span>
<span class="special">}</span>
<span class="identifier">Double</span><span class="special">&amp;</span> <span class="keyword">operator</span> <span class="special">*=</span> <span class="special">(</span> <span class="keyword">const</span> <span class="identifier">Double</span><span class="special">&amp;</span> <span class="identifier">factor</span> <span class="special">)</span>
<span class="special">{</span>
<span class="identifier">v</span> <span class="special">*=</span> <span class="identifier">factor</span><span class="special">.</span><span class="identifier">v</span><span class="special">;</span>
<span class="keyword">return</span> <span class="special">*</span><span class="keyword">this</span><span class="special">;</span>
<span class="special">}</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">T</span><span class="special">&gt;</span>
<span class="identifier">Double</span><span class="special">&amp;</span> <span class="keyword">operator</span> <span class="special">*=(</span> <span class="identifier">T</span> <span class="identifier">t</span> <span class="special">)</span>
<span class="special">{</span>
<span class="identifier">v</span> <span class="special">*=</span> <span class="keyword">static_cast</span><span class="special">&lt;</span><span class="keyword">double</span><span class="special">&gt;(</span><span class="identifier">t</span><span class="special">);</span>
<span class="keyword">return</span> <span class="special">*</span><span class="keyword">this</span><span class="special">;</span>
<span class="special">}</span>
<span class="identifier">Double</span><span class="special">&amp;</span> <span class="keyword">operator</span> <span class="special">/=</span> <span class="special">(</span><span class="keyword">const</span> <span class="identifier">Double</span><span class="special">&amp;</span> <span class="identifier">divisor</span><span class="special">)</span>
<span class="special">{</span>
<span class="identifier">v</span> <span class="special">/=</span> <span class="identifier">divisor</span><span class="special">.</span><span class="identifier">v</span><span class="special">;</span>
<span class="keyword">return</span> <span class="special">*</span><span class="keyword">this</span><span class="special">;</span>
<span class="special">}</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">T</span><span class="special">&gt;</span>
<span class="identifier">Double</span><span class="special">&amp;</span> <span class="keyword">operator</span> <span class="special">/=(</span> <span class="identifier">T</span> <span class="identifier">t</span> <span class="special">)</span>
<span class="special">{</span>
<span class="identifier">v</span> <span class="special">/=</span> <span class="keyword">static_cast</span><span class="special">&lt;</span><span class="keyword">double</span><span class="special">&gt;(</span><span class="identifier">t</span><span class="special">);</span>
<span class="keyword">return</span> <span class="special">(*</span><span class="keyword">this</span><span class="special">);</span>
<span class="special">}</span>
<span class="keyword">double</span> <span class="identifier">v</span><span class="special">;</span>
<span class="special">};</span>
<span class="comment">//! Define numeric_limits for the custom type.</span>
<span class="keyword">namespace</span> <span class="identifier">std</span>
<span class="special">{</span>
<span class="keyword">template</span><span class="special">&lt;&gt;</span>
<span class="keyword">class</span> <span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">Double</span><span class="special">&gt;</span> <span class="special">:</span> <span class="keyword">public</span> <span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="keyword">double</span><span class="special">&gt;</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
<span class="comment">//! Limit our Double to a range of +/- 100.0</span>
<span class="keyword">static</span> <span class="identifier">Double</span> <span class="special">(</span><span class="identifier">min</span><span class="special">)()</span>
<span class="special">{</span>
<span class="keyword">return</span> <span class="identifier">Double</span><span class="special">(</span><span class="number">1.e-2</span><span class="special">);</span>
<span class="special">}</span>
<span class="keyword">static</span> <span class="identifier">Double</span> <span class="special">(</span><span class="identifier">max</span><span class="special">)()</span>
<span class="special">{</span>
<span class="keyword">return</span> <span class="identifier">Double</span><span class="special">(</span><span class="number">1.e2</span><span class="special">);</span>
<span class="special">}</span>
<span class="keyword">static</span> <span class="identifier">Double</span> <span class="identifier">epsilon</span><span class="special">()</span>
<span class="special">{</span>
<span class="keyword">return</span> <span class="identifier">Double</span><span class="special">(</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="keyword">double</span><span class="special">&gt;::</span><span class="identifier">epsilon</span><span class="special">()</span> <span class="special">);</span>
<span class="special">}</span>
<span class="special">};</span>
<span class="special">}</span>
<span class="comment">//! Define range checking and overflow policies.</span>
<span class="keyword">namespace</span> <span class="identifier">custom</span>
<span class="special">{</span>
<span class="comment">//! Define a custom range checker</span>
<span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">Traits</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">OverFlowHandler</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">range_checker</span>
<span class="special">{</span>
<span class="keyword">typedef</span> <span class="keyword">typename</span> <span class="identifier">Traits</span><span class="special">::</span><span class="identifier">argument_type</span> <span class="identifier">argument_type</span> <span class="special">;</span>
<span class="keyword">typedef</span> <span class="keyword">typename</span> <span class="identifier">Traits</span><span class="special">::</span><span class="identifier">source_type</span> <span class="identifier">S</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="keyword">typename</span> <span class="identifier">Traits</span><span class="special">::</span><span class="identifier">target_type</span> <span class="identifier">T</span><span class="special">;</span>
<span class="comment">//! Check range of integral types.</span>
<span class="keyword">static</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">range_check_result</span> <span class="identifier">out_of_range</span><span class="special">(</span> <span class="identifier">argument_type</span> <span class="identifier">s</span> <span class="special">)</span>
<span class="special">{</span>
<span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">;</span>
<span class="keyword">if</span><span class="special">(</span> <span class="identifier">s</span> <span class="special">&gt;</span> <span class="identifier">bounds</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;::</span><span class="identifier">highest</span><span class="special">()</span> <span class="special">)</span>
<span class="keyword">return</span> <span class="identifier">cPosOverflow</span><span class="special">;</span>
<span class="keyword">else</span> <span class="keyword">if</span><span class="special">(</span> <span class="identifier">s</span> <span class="special">&lt;</span> <span class="identifier">bounds</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;::</span><span class="identifier">lowest</span><span class="special">()</span> <span class="special">)</span>
<span class="keyword">return</span> <span class="identifier">cNegOverflow</span><span class="special">;</span>
<span class="keyword">else</span>
<span class="keyword">return</span> <span class="identifier">cInRange</span><span class="special">;</span>
<span class="special">}</span>
<span class="keyword">static</span> <span class="keyword">void</span> <span class="identifier">validate_range</span> <span class="special">(</span> <span class="identifier">argument_type</span> <span class="identifier">s</span> <span class="special">)</span>
<span class="special">{</span>
<span class="identifier">BOOST_STATIC_ASSERT</span><span class="special">(</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;::</span><span class="identifier">is_bounded</span> <span class="special">);</span>
<span class="identifier">OverFlowHandler</span><span class="special">()(</span> <span class="identifier">out_of_range</span><span class="special">(</span><span class="identifier">s</span><span class="special">)</span> <span class="special">);</span>
<span class="special">}</span>
<span class="special">};</span>
<span class="comment">//! Overflow handler</span>
<span class="keyword">struct</span> <span class="identifier">positive_overflow</span><span class="special">{};</span>
<span class="keyword">struct</span> <span class="identifier">negative_overflow</span><span class="special">{};</span>
<span class="keyword">struct</span> <span class="identifier">overflow_handler</span>
<span class="special">{</span>
<span class="keyword">void</span> <span class="keyword">operator</span><span class="special">()</span> <span class="special">(</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">range_check_result</span> <span class="identifier">r</span> <span class="special">)</span>
<span class="special">{</span>
<span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">;</span>
<span class="keyword">if</span><span class="special">(</span> <span class="identifier">r</span> <span class="special">==</span> <span class="identifier">cNegOverflow</span> <span class="special">)</span>
<span class="keyword">throw</span> <span class="identifier">negative_overflow</span><span class="special">()</span> <span class="special">;</span>
<span class="keyword">else</span> <span class="keyword">if</span><span class="special">(</span> <span class="identifier">r</span> <span class="special">==</span> <span class="identifier">cPosOverflow</span> <span class="special">)</span>
<span class="keyword">throw</span> <span class="identifier">positive_overflow</span><span class="special">()</span> <span class="special">;</span>
<span class="special">}</span>
<span class="special">};</span>
<span class="comment">//! Define a rounding policy and specialize on the custom type.</span>
<span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">S</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">Ceil</span> <span class="special">:</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">Ceil</span><span class="special">&lt;</span><span class="identifier">S</span><span class="special">&gt;{};</span>
<span class="keyword">template</span><span class="special">&lt;&gt;</span>
<span class="keyword">struct</span> <span class="identifier">Ceil</span><span class="special">&lt;</span><span class="identifier">Double</span><span class="special">&gt;</span>
<span class="special">{</span>
<span class="keyword">typedef</span> <span class="identifier">Double</span> <span class="identifier">source_type</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">Double</span> <span class="keyword">const</span><span class="special">&amp;</span> <span class="identifier">argument_type</span><span class="special">;</span>
<span class="keyword">static</span> <span class="identifier">source_type</span> <span class="identifier">nearbyint</span> <span class="special">(</span> <span class="identifier">argument_type</span> <span class="identifier">s</span> <span class="special">)</span>
<span class="special">{</span>
<span class="preprocessor">#if</span> <span class="special">!</span><span class="identifier">defined</span><span class="special">(</span><span class="identifier">BOOST_NO_STDC_NAMESPACE</span><span class="special">)</span>
<span class="keyword">using</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">ceil</span> <span class="special">;</span>
<span class="preprocessor">#endif</span>
<span class="keyword">return</span> <span class="identifier">Double</span><span class="special">(</span> <span class="identifier">ceil</span><span class="special">(</span><span class="identifier">s</span><span class="special">.</span><span class="identifier">v</span><span class="special">)</span> <span class="special">);</span>
<span class="special">}</span>
<span class="keyword">typedef</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">integral_c</span><span class="special">&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">float_round_style</span><span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">round_toward_infinity</span><span class="special">&gt;</span> <span class="identifier">round_style</span><span class="special">;</span>
<span class="special">};</span>
<span class="comment">//! Define a rounding policy and specialize on the custom type.</span>
<span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">S</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">Trunc</span><span class="special">:</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">Trunc</span><span class="special">&lt;</span><span class="identifier">S</span><span class="special">&gt;{};</span>
<span class="keyword">template</span><span class="special">&lt;&gt;</span>
<span class="keyword">struct</span> <span class="identifier">Trunc</span><span class="special">&lt;</span><span class="identifier">Double</span><span class="special">&gt;</span>
<span class="special">{</span>
<span class="keyword">typedef</span> <span class="identifier">Double</span> <span class="identifier">source_type</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">Double</span> <span class="keyword">const</span><span class="special">&amp;</span> <span class="identifier">argument_type</span><span class="special">;</span>
<span class="keyword">static</span> <span class="identifier">source_type</span> <span class="identifier">nearbyint</span> <span class="special">(</span> <span class="identifier">argument_type</span> <span class="identifier">s</span> <span class="special">)</span>
<span class="special">{</span>
<span class="preprocessor">#if</span> <span class="special">!</span><span class="identifier">defined</span><span class="special">(</span><span class="identifier">BOOST_NO_STDC_NAMESPACE</span><span class="special">)</span>
<span class="keyword">using</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">floor</span><span class="special">;</span>
<span class="preprocessor">#endif</span>
<span class="keyword">return</span> <span class="identifier">Double</span><span class="special">(</span> <span class="identifier">floor</span><span class="special">(</span><span class="identifier">s</span><span class="special">.</span><span class="identifier">v</span><span class="special">)</span> <span class="special">);</span>
<span class="special">}</span>
<span class="keyword">typedef</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">integral_c</span><span class="special">&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">float_round_style</span><span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">round_toward_zero</span><span class="special">&gt;</span> <span class="identifier">round_style</span><span class="special">;</span>
<span class="special">};</span>
<span class="special">}//</span><span class="keyword">namespace</span> <span class="identifier">custom</span><span class="special">;</span>
<span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">numeric</span> <span class="special">{</span>
<span class="comment">//! Define the numeric_cast_traits specializations on the custom type.</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">S</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">numeric_cast_traits</span><span class="special">&lt;</span><span class="identifier">Double</span><span class="special">,</span> <span class="identifier">S</span><span class="special">&gt;</span>
<span class="special">{</span>
<span class="keyword">typedef</span> <span class="identifier">custom</span><span class="special">::</span><span class="identifier">overflow_handler</span> <span class="identifier">overflow_policy</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">custom</span><span class="special">::</span><span class="identifier">range_checker</span>
<span class="special">&lt;</span>
<span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">conversion_traits</span><span class="special">&lt;</span><span class="identifier">Double</span><span class="special">,</span> <span class="identifier">S</span><span class="special">&gt;</span>
<span class="special">,</span> <span class="identifier">overflow_policy</span>
<span class="special">&gt;</span> <span class="identifier">range_checking_policy</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">Trunc</span><span class="special">&lt;</span><span class="identifier">S</span><span class="special">&gt;</span> <span class="identifier">rounding_policy</span><span class="special">;</span>
<span class="special">};</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">T</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">numeric_cast_traits</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">,</span> <span class="identifier">Double</span><span class="special">&gt;</span>
<span class="special">{</span>
<span class="keyword">typedef</span> <span class="identifier">custom</span><span class="special">::</span><span class="identifier">overflow_handler</span> <span class="identifier">overflow_policy</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">custom</span><span class="special">::</span><span class="identifier">range_checker</span>
<span class="special">&lt;</span>
<span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">conversion_traits</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">,</span> <span class="identifier">Double</span><span class="special">&gt;</span>
<span class="special">,</span> <span class="identifier">overflow_policy</span>
<span class="special">&gt;</span> <span class="identifier">range_checking_policy</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">custom</span><span class="special">::</span><span class="identifier">Trunc</span><span class="special">&lt;</span><span class="identifier">Double</span><span class="special">&gt;</span> <span class="identifier">rounding_policy</span><span class="special">;</span>
<span class="special">};</span>
<span class="comment">//! Define the conversion from the custom type to built-in types and vice-versa.</span>
<span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">T</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">raw_converter</span><span class="special">&lt;</span> <span class="identifier">conversion_traits</span><span class="special">&lt;</span> <span class="identifier">T</span><span class="special">,</span> <span class="identifier">Double</span> <span class="special">&gt;</span> <span class="special">&gt;</span>
<span class="special">{</span>
<span class="keyword">static</span> <span class="identifier">T</span> <span class="identifier">low_level_convert</span> <span class="special">(</span> <span class="keyword">const</span> <span class="identifier">Double</span><span class="special">&amp;</span> <span class="identifier">n</span> <span class="special">)</span>
<span class="special">{</span>
<span class="keyword">return</span> <span class="keyword">static_cast</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;(</span> <span class="identifier">n</span><span class="special">.</span><span class="identifier">v</span> <span class="special">);</span>
<span class="special">}</span>
<span class="special">};</span>
<span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">S</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">raw_converter</span><span class="special">&lt;</span> <span class="identifier">conversion_traits</span><span class="special">&lt;</span> <span class="identifier">Double</span><span class="special">,</span> <span class="identifier">S</span> <span class="special">&gt;</span> <span class="special">&gt;</span>
<span class="special">{</span>
<span class="keyword">static</span> <span class="identifier">Double</span> <span class="identifier">low_level_convert</span> <span class="special">(</span> <span class="keyword">const</span> <span class="identifier">S</span><span class="special">&amp;</span> <span class="identifier">n</span> <span class="special">)</span>
<span class="special">{</span>
<span class="keyword">return</span> <span class="identifier">Double</span><span class="special">(</span><span class="identifier">n</span><span class="special">);</span>
<span class="special">}</span>
<span class="special">};</span>
<span class="special">}}//</span><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">;</span>
</pre>
</div>
</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 © 2004 -2007 Fernando Luis Cacciola Carballal<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2004-2007 Fernando
Luis Cacciola Carballal<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>
@ -181,7 +548,7 @@
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<div><h2 class="title">
<a name="numeric_conversion"></a>Chapter 1. Boost.NumericConversion</h2></div>
<a name="numeric_conversion"></a>Chapter&#160;1.&#160;Boost.NumericConversion</h2></div>
<div><div class="author"><h3 class="author">
<span class="firstname">Fernando Luis</span> <span class="surname">Cacciola Carballal</span>
</h3></div></div>
<div><p class="copyright">Copyright © 2004 -2007 Fernando Luis Cacciola Carballal</p></div>
<div><div class="legalnotice" title="Legal Notice">
<a name="id553943"></a><p>
<div><p class="copyright">Copyright &#169; 2004-2007 Fernando
Luis Cacciola Carballal</p></div>
<div><div class="legalnotice">
<a name="numeric_conversion.legal"></a><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>
@ -35,7 +36,7 @@
</div></div>
<div class="toc">
<p><b>Table of Contents</b></p>
<dl>
<dl class="toc">
<dt><span class="section"><a href="index.html#numeric_conversion.overview">Overview</a></span></dt>
<dt><span class="section"><a href="boost_numericconversion/definitions.html">Definitions</a></span></dt>
<dd><dl>
@ -76,6 +77,8 @@
special semantics</a></span></dt>
<dt><span class="section"><a href="boost_numericconversion/type_requirements_and_user_defined_types_support.html#boost_numericconversion.type_requirements_and_user_defined_types_support.special_policies">Special
Policies</a></span></dt>
<dt><span class="section"><a href="boost_numericconversion/type_requirements_and_user_defined_types_support.html#boost_numericconversion.type_requirements_and_user_defined_types_support.udts_with_numeric_cast">UDTs
with numeric_cast</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="boost_numericconversion/bounds___traits_class.html">bounds&lt;&gt;
traits class</a></span></dt>
@ -110,6 +113,7 @@
<dd><dl>
<dt><span class="section"><a href="boost_numericconversion/improved_numeric_cast__.html#boost_numericconversion.improved_numeric_cast__.introduction">Introduction</a></span></dt>
<dt><span class="section"><a href="boost_numericconversion/improved_numeric_cast__.html#boost_numericconversion.improved_numeric_cast__.numeric_cast">numeric_cast</a></span></dt>
<dt><span class="section"><a href="boost_numericconversion/improved_numeric_cast__.html#boost_numericconversion.improved_numeric_cast__.numeric_cast_traits">numeric_cast_traits</a></span></dt>
<dt><span class="section"><a href="boost_numericconversion/improved_numeric_cast__.html#boost_numericconversion.improved_numeric_cast__.examples">Examples</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="numeric_conversion/history_and_acknowledgments.html">History
@ -117,7 +121,7 @@
<dt><span class="section"><a href="numeric_conversion/bibliography.html">Bibliography</a></span></dt>
</dl>
</div>
<div class="section" title="Overview">
<div class="section">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="numeric_conversion.overview"></a><a class="link" href="index.html#numeric_conversion.overview" title="Overview">Overview</a>
</h2></div></div></div>
@ -145,33 +149,33 @@
to select an optimized implementation is supplied. Such implementation uses
an optimal range checking code suitable for the source/target combination.
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
The converter's out-of-range behavior can be customized via an <a class="link" href="boost_numericconversion/numeric_converter_policy_classes.html#boost_numericconversion.numeric_converter_policy_classes.policy_overflowhandler" title="Policy OverflowHandler">OverflowHandler</a>
policy.
</li>
The converter's out-of-range behavior can be customized via an <a class="link" href="boost_numericconversion/numeric_converter_policy_classes.html#boost_numericconversion.numeric_converter_policy_classes.policy_overflowhandler" title="Policy OverflowHandler">OverflowHandler</a>
policy.
</li>
<li class="listitem">
For floating-point to integral conversions, the rounding mode can be selected
via the <a class="link" href="boost_numericconversion/numeric_converter_policy_classes.html#boost_numericconversion.numeric_converter_policy_classes.policy_float2introunder" title="Policy Float2IntRounder">Float2IntRounder</a>
policy.
</li>
For floating-point to integral conversions, the rounding mode can be selected
via the <a class="link" href="boost_numericconversion/numeric_converter_policy_classes.html#boost_numericconversion.numeric_converter_policy_classes.policy_float2introunder" title="Policy Float2IntRounder">Float2IntRounder</a>
policy.
</li>
<li class="listitem">
A custom low-level conversion routine (for UDTs for instance) can be passed
via a <a class="link" href="boost_numericconversion/numeric_converter_policy_classes.html#boost_numericconversion.numeric_converter_policy_classes.policy_rawconverter" title="Policy RawConverter">RawConverter</a>
policy.
</li>
A custom low-level conversion routine (for UDTs for instance) can be passed
via a <a class="link" href="boost_numericconversion/numeric_converter_policy_classes.html#boost_numericconversion.numeric_converter_policy_classes.policy_rawconverter" title="Policy RawConverter">RawConverter</a>
policy.
</li>
<li class="listitem">
The optimized automatic range-checking logic can be overridden via a <a class="link" href="boost_numericconversion/numeric_converter_policy_classes.html#boost_numericconversion.numeric_converter_policy_classes.policy_userrangechecker" title="Policy UserRangeChecker">UserRangeChecker</a>
policy.
</li>
The optimized automatic range-checking logic can be overridden via a <a class="link" href="boost_numericconversion/numeric_converter_policy_classes.html#boost_numericconversion.numeric_converter_policy_classes.policy_userrangechecker" title="Policy UserRangeChecker">UserRangeChecker</a>
policy.
</li>
</ul></div>
</div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"><p><small>Last revised: November 20, 2009 at 09:59:43 GMT</small></p></td>
<td align="left"><p><small>Last revised: June 02, 2014 at 09:03:48 GMT</small></p></td>
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<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
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Standard Documents:
<div class="orderedlist"><ol class="orderedlist" type="1">
Standard Documents:
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<li class="listitem">
ISO/IEC 14882:98 (C++98 Standard)
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ISO/IEC 14882:98 (C++98 Standard)
</li>
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ISO/IEC 9899:1999 (C99 Standard)
</li>
ISO/IEC 9899:1999 (C99 Standard)
</li>
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ISO/IEC 10967-1 (Language Independent Arithmetic (LIA), Part I, 1994)
</li>
ISO/IEC 10967-1 (Language Independent Arithmetic (LIA), Part I, 1994)
</li>
<li class="listitem">
ISO/IEC 2382-1:1993 (Information Technology - Vocabulary - Part I: Fundamental
Terms)
</li>
ISO/IEC 2382-1:1993 (Information Technology - Vocabulary - Part I:
Fundamental Terms)
</li>
<li class="listitem">
ANSI/IEEE 754-1985 [and IEC 60559:1989] (Binary floating-point)
</li>
ANSI/IEEE 754-1985 [and IEC 60559:1989] (Binary floating-point)
</li>
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ANSI/IEEE 854-1988 (Radix Independent floating-point)
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ANSI/IEEE 854-1988 (Radix Independent floating-point)
</li>
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ANSI X3/TR-1-82 (Dictionary for Information Processing Systems)
</li>
ANSI X3/TR-1-82 (Dictionary for Information Processing Systems)
</li>
<li class="listitem">
ISO/IEC JTC1/SC22/WG14/N753 C9X Revision Proposal: LIA-1 Binding: Rationale
</li>
ISO/IEC JTC1/SC22/WG14/N753 C9X Revision Proposal: LIA-1 Binding:
Rationale
</li>
</ol></div>
</li>
</li>
<li class="listitem">
Papers:
<div class="orderedlist"><ol class="orderedlist" type="1">
Papers:
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
David Goldberg What Every Computer Scientist Should Know About Floating-Point
Arithmetic
</li>
David Goldberg What Every Computer Scientist Should Know About Floating-Point
Arithmetic
</li>
<li class="listitem">
Prof. William Kahan papers on floating-point.
</li>
Prof. William Kahan papers on floating-point.
</li>
</ol></div>
</li>
</li>
</ul></div>
</div>
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<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2004 -2007 Fernando Luis Cacciola Carballal<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2004-2007 Fernando
Luis Cacciola Carballal<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>
@ -80,7 +82,7 @@
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and Acknowledgments</a>
</h2></div></div></div>
<a name="numeric_conversion.history_and_acknowledgments.pre_formal_review"></a><h4>
<a name="id575108"></a>
<a class="link" href="history_and_acknowledgments.html#numeric_conversion.history_and_acknowledgments.pre_formal_review">Pre-formal
<h4>
<a name="numeric_conversion.history_and_acknowledgments.h0"></a>
<span class="phrase"><a name="numeric_conversion.history_and_acknowledgments.pre_formal_review"></a></span><a class="link" href="history_and_acknowledgments.html#numeric_conversion.history_and_acknowledgments.pre_formal_review">Pre-formal
review</a>
</h4>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Kevlin Henney, with help from David Abrahams and Beman Dawes, originally
contributed the previous version of <code class="computeroutput"><span class="identifier">numeric_cast</span><span class="special">&lt;&gt;</span></code> which already presented the idea
of a runtime range check.
</li>
Kevlin Henney, with help from David Abrahams and Beman Dawes, originally
contributed the previous version of <code class="computeroutput"><span class="identifier">numeric_cast</span><span class="special">&lt;&gt;</span></code> which already presented the idea
of a runtime range check.
</li>
<li class="listitem">
Later, Eric Ford, Kevin Lynch and the author spotted some genericity problems
with that <code class="computeroutput"><span class="identifier">numeric_cast</span><span class="special">&lt;&gt;</span></code>
which prevented it from being used in a generic layer of math functions.
</li>
Later, Eric Ford, Kevin Lynch and the author spotted some genericity problems
with that <code class="computeroutput"><span class="identifier">numeric_cast</span><span class="special">&lt;&gt;</span></code> which prevented it from being used
in a generic layer of math functions.
</li>
<li class="listitem">
An improved <code class="computeroutput"><span class="identifier">numeric_cast</span><span class="special">&lt;&gt;</span></code> which properly handled all combinations
of arithmetic types was presented.
</li>
An improved <code class="computeroutput"><span class="identifier">numeric_cast</span><span class="special">&lt;&gt;</span></code> which properly handled all combinations
of arithmetic types was presented.
</li>
<li class="listitem">
David Abrahams and Beman Dawes acknowledged the need of an improved version
of <code class="computeroutput"><span class="identifier">numeric_cast</span><span class="special">&lt;&gt;</span></code>
and supported the submission as originally laid out. Daryl Walker and Darin
Adler made some important comments and proposed fixes to the original submission.
</li>
David Abrahams and Beman Dawes acknowledged the need of an improved version
of <code class="computeroutput"><span class="identifier">numeric_cast</span><span class="special">&lt;&gt;</span></code>
and supported the submission as originally laid out. Daryl Walker and Darin
Adler made some important comments and proposed fixes to the original submission.
</li>
<li class="listitem">
Special thanks go to Björn Karlsoon who helped the author considerably.
Having found the problems with <code class="computeroutput"><span class="identifier">numeric_cast</span><span class="special">&lt;&gt;</span></code> himself, he revised very carefully
the original submission and spot a subtle bug in the range checking implementation.
He also wrote part of this documentation and proof-read and corrected other
parts. And most importantly: the features now presented here in this library
evolved from the original submission as a result of the useful private communications
between Björn and the author.
</li>
Special thanks go to Bj&#246;rn Karlsoon who helped the author considerably.
Having found the problems with <code class="computeroutput"><span class="identifier">numeric_cast</span><span class="special">&lt;&gt;</span></code> himself, he revised very carefully
the original submission and spot a subtle bug in the range checking implementation.
He also wrote part of this documentation and proof-read and corrected other
parts. And most importantly: the features now presented here in this library
evolved from the original submission as a result of the useful private
communications between Bj&#246;rn and the author.
</li>
</ul></div>
<a name="numeric_conversion.history_and_acknowledgments.post_formal_review"></a><h4>
<a name="id575242"></a>
<a class="link" href="history_and_acknowledgments.html#numeric_conversion.history_and_acknowledgments.post_formal_review">Post-formal
<h4>
<a name="numeric_conversion.history_and_acknowledgments.h1"></a>
<span class="phrase"><a name="numeric_conversion.history_and_acknowledgments.post_formal_review"></a></span><a class="link" href="history_and_acknowledgments.html#numeric_conversion.history_and_acknowledgments.post_formal_review">Post-formal
review</a>
</h4>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Guillaume Melquiond spoted some documentation and code issues, particularly
about rounding conversions.
</li>
Guillaume Melquiond spoted some documentation and code issues, particularly
about rounding conversions.
</li>
<li class="listitem">
The following people contributed an important review of the design, documentation
and c ode: Kevin Lynch, Thorsten Ottosen, Paul Bristow, Daryle Walker, Jhon
Torjo, Eric Ford, Gennadiy Rozental.
</li>
The following people contributed an important review of the design, documentation
and c ode: Kevin Lynch, Thorsten Ottosen, Paul Bristow, Daryle Walker,
Jhon Torjo, Eric Ford, Gennadiy Rozental.
</li>
</ul></div>
</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 © 2004 -2007 Fernando Luis Cacciola Carballal<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2004-2007 Fernando
Luis Cacciola Carballal<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>
@ -90,7 +91,7 @@
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