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<div class="titlepage"><div><div><h4 class="title">
<a name="geometry.reference.strategies.strategy_area_huiller"></a><a class="link" href="strategy_area_huiller.html" title="strategy::area::huiller">strategy::area::huiller</a>
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<p>
<a class="indexterm" name="idp131255536"></a><a class="indexterm" name="idp131256224"></a><a class="indexterm" name="idp131256912"></a>
Area calculation by spherical excess / Huiller's formula.
</p>
<h6>
<a name="geometry.reference.strategies.strategy_area_huiller.h0"></a>
<span class="phrase"><a name="geometry.reference.strategies.strategy_area_huiller.synopsis"></a></span><a class="link" href="strategy_area_huiller.html#geometry.reference.strategies.strategy_area_huiller.synopsis">Synopsis</a>
</h6>
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">PointOfSegment</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">CalculationType</span><span class="special">&gt;</span>
<span class="keyword">class</span> <span class="identifier">strategy</span><span class="special">::</span><span class="identifier">area</span><span class="special">::</span><span class="identifier">huiller</span>
<span class="special">{</span>
<span class="comment">// ...</span>
<span class="special">};</span>
</pre>
<p>
</p>
<h6>
<a name="geometry.reference.strategies.strategy_area_huiller.h1"></a>
<span class="phrase"><a name="geometry.reference.strategies.strategy_area_huiller.template_parameter_s_"></a></span><a class="link" href="strategy_area_huiller.html#geometry.reference.strategies.strategy_area_huiller.template_parameter_s_">Template
parameter(s)</a>
</h6>
<div class="informaltable"><table class="table">
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Parameter
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Default
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Description
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<p>
typename PointOfSegment
</p>
</td>
<td>
</td>
<td>
<p>
point type of segments of rings/polygons
</p>
</td>
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typename CalculationType
</p>
</td>
<td>
<p>
void
</p>
</td>
<td>
<p>
numeric type for calculation (e.g. high precision); if <span class="bold"><strong>void</strong></span> then it is extracted automatically
from the coordinate type and (if necessary) promoted to floating
point
</p>
</td>
</tr>
</tbody>
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<h6>
<a name="geometry.reference.strategies.strategy_area_huiller.h2"></a>
<span class="phrase"><a name="geometry.reference.strategies.strategy_area_huiller.constructor_s_"></a></span><a class="link" href="strategy_area_huiller.html#geometry.reference.strategies.strategy_area_huiller.constructor_s_">Constructor(s)</a>
</h6>
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Function
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Parameters
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<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">huiller</span><span class="special">(</span><span class="identifier">calculation_type</span> <span class="identifier">radius</span> <span class="special">=</span> <span class="number">1.0</span><span class="special">)</span></pre>
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</p>
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<p>
<span class="bold"><strong>calculation_type</strong></span>: <span class="emphasis"><em>radius</em></span>:
</p>
</td>
</tr></tbody>
</table></div>
<h6>
<a name="geometry.reference.strategies.strategy_area_huiller.h3"></a>
<span class="phrase"><a name="geometry.reference.strategies.strategy_area_huiller.member_function_s_"></a></span><a class="link" href="strategy_area_huiller.html#geometry.reference.strategies.strategy_area_huiller.member_function_s_">Member
Function(s)</a>
</h6>
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Function
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Description
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Parameters
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Returns
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<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="keyword">void</span> <span class="identifier">apply</span><span class="special">(</span><span class="identifier">PointOfSegment</span> <span class="keyword">const</span> <span class="special">&amp;</span> <span class="identifier">p1</span><span class="special">,</span> <span class="identifier">PointOfSegment</span> <span class="keyword">const</span> <span class="special">&amp;</span> <span class="identifier">p2</span><span class="special">,</span> <span class="identifier">excess_sum</span> <span class="special">&amp;</span> <span class="identifier">state</span><span class="special">)</span></pre>
<p>
</p>
</td>
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</td>
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<p>
<span class="bold"><strong>PointOfSegment const &amp;</strong></span>:
<span class="emphasis"><em>p1</em></span>:
</p>
<p>
<span class="bold"><strong>PointOfSegment const &amp;</strong></span>:
<span class="emphasis"><em>p2</em></span>:
</p>
<p>
<span class="bold"><strong>excess_sum &amp;</strong></span>: <span class="emphasis"><em>state</em></span>:
</p>
</td>
<td>
</td>
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<p>
</p>
<pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">return_type</span> <span class="identifier">result</span><span class="special">(</span><span class="identifier">excess_sum</span> <span class="keyword">const</span> <span class="special">&amp;</span> <span class="identifier">state</span><span class="special">)</span></pre>
<p>
</p>
</td>
<td>
</td>
<td>
<p>
<span class="bold"><strong>excess_sum const &amp;</strong></span>: <span class="emphasis"><em>state</em></span>:
</p>
</td>
<td>
</td>
</tr>
</tbody>
</table></div>
<h6>
<a name="geometry.reference.strategies.strategy_area_huiller.h4"></a>
<span class="phrase"><a name="geometry.reference.strategies.strategy_area_huiller.header"></a></span><a class="link" href="strategy_area_huiller.html#geometry.reference.strategies.strategy_area_huiller.header">Header</a>
</h6>
<p>
<code class="computeroutput"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">geometry</span><span class="special">/</span><span class="identifier">strategies</span><span class="special">/</span><span class="identifier">spherical</span><span class="special">/</span><span class="identifier">area_huiller</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span></code>
</p>
<h6>
<a name="geometry.reference.strategies.strategy_area_huiller.h5"></a>
<span class="phrase"><a name="geometry.reference.strategies.strategy_area_huiller.example"></a></span><a class="link" href="strategy_area_huiller.html#geometry.reference.strategies.strategy_area_huiller.example">Example</a>
</h6>
<p>
Calculate the area of a polygon
</p>
<p>
</p>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">iostream</span><span class="special">&gt;</span>
<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">geometry</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">geometry</span><span class="special">/</span><span class="identifier">geometries</span><span class="special">/</span><span class="identifier">point_xy</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">geometry</span><span class="special">/</span><span class="identifier">geometries</span><span class="special">/</span><span class="identifier">polygon</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
<span class="keyword">namespace</span> <span class="identifier">bg</span> <span class="special">=</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">geometry</span><span class="special">;</span> <a class="co" name="geometry.reference.strategies.strategy_area_huiller.c0" href="strategy_area_huiller.html#geometry.reference.strategies.strategy_area_huiller.c1"><img src="../../../../../../../doc/src/images/callouts/1.png" alt="1" border="0"></a>
<span class="keyword">int</span> <span class="identifier">main</span><span class="special">()</span>
<span class="special">{</span>
<span class="comment">// Calculate the area of a cartesian polygon</span>
<span class="identifier">bg</span><span class="special">::</span><span class="identifier">model</span><span class="special">::</span><span class="identifier">polygon</span><span class="special">&lt;</span><span class="identifier">bg</span><span class="special">::</span><span class="identifier">model</span><span class="special">::</span><span class="identifier">d2</span><span class="special">::</span><span class="identifier">point_xy</span><span class="special">&lt;</span><span class="keyword">double</span><span class="special">&gt;</span> <span class="special">&gt;</span> <span class="identifier">poly</span><span class="special">;</span>
<span class="identifier">bg</span><span class="special">::</span><span class="identifier">read_wkt</span><span class="special">(</span><span class="string">"POLYGON((0 0,0 7,4 2,2 0,0 0))"</span><span class="special">,</span> <span class="identifier">poly</span><span class="special">);</span>
<span class="keyword">double</span> <span class="identifier">area</span> <span class="special">=</span> <span class="identifier">bg</span><span class="special">::</span><span class="identifier">area</span><span class="special">(</span><span class="identifier">poly</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="string">"Area: "</span> <span class="special">&lt;&lt;</span> <span class="identifier">area</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
<span class="comment">// Calculate the area of a spherical polygon (for latitude: 0 at equator)</span>
<span class="identifier">bg</span><span class="special">::</span><span class="identifier">model</span><span class="special">::</span><span class="identifier">polygon</span><span class="special">&lt;</span><span class="identifier">bg</span><span class="special">::</span><span class="identifier">model</span><span class="special">::</span><span class="identifier">point</span><span class="special">&lt;</span><span class="keyword">float</span><span class="special">,</span> <span class="number">2</span><span class="special">,</span> <span class="identifier">bg</span><span class="special">::</span><span class="identifier">cs</span><span class="special">::</span><span class="identifier">spherical_equatorial</span><span class="special">&lt;</span><span class="identifier">bg</span><span class="special">::</span><span class="identifier">degree</span><span class="special">&gt;</span> <span class="special">&gt;</span> <span class="special">&gt;</span> <span class="identifier">sph_poly</span><span class="special">;</span>
<span class="identifier">bg</span><span class="special">::</span><span class="identifier">read_wkt</span><span class="special">(</span><span class="string">"POLYGON((0 0,0 45,45 0,0 0))"</span><span class="special">,</span> <span class="identifier">sph_poly</span><span class="special">);</span>
<span class="identifier">area</span> <span class="special">=</span> <span class="identifier">bg</span><span class="special">::</span><span class="identifier">area</span><span class="special">(</span><span class="identifier">sph_poly</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="string">"Area: "</span> <span class="special">&lt;&lt;</span> <span class="identifier">area</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
<span class="keyword">return</span> <span class="number">0</span><span class="special">;</span>
<span class="special">}</span>
</pre>
<p>
</p>
<div class="calloutlist"><table border="0" summary="Callout list"><tr>
<td width="5%" valign="top" align="left"><p><a name="geometry.reference.strategies.strategy_area_huiller.c1"></a><a href="#geometry.reference.strategies.strategy_area_huiller.c0"><img src="../../../../../../../doc/src/images/callouts/1.png" alt="1" border="0"></a> </p></td>
<td valign="top" align="left"><p>
Convenient namespace alias
</p></td>
</tr></table></div>
<p>
Output:
</p>
<pre class="programlisting">Area: 16
Area: 0.339837
</pre>
<h6>
<a name="geometry.reference.strategies.strategy_area_huiller.h6"></a>
<span class="phrase"><a name="geometry.reference.strategies.strategy_area_huiller.see_also"></a></span><a class="link" href="strategy_area_huiller.html#geometry.reference.strategies.strategy_area_huiller.see_also">See
also</a>
</h6>
<p>
<a class="link" href="../algorithms/area/area_2_with_strategy.html" title="area (with strategy)">area
(with strategy)</a>
</p>
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<td align="right"><div class="copyright-footer">Copyright &#169; 2009-2015 Barend Gehrels, Bruno Lalande,
Mateusz Loskot, Adam Wulkiewicz, Oracle and/or its affiliates<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
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