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<title>GeographicLib: GeographicLib::PolarStereographic Class Reference</title>
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<h1>GeographicLib::PolarStereographic Class Reference</h1> </div>
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<div class="contents">
<!-- doxytag: class="GeographicLib::PolarStereographic" -->
<p>Polar Stereographic Projection.
<a href="#_details">More...</a></p>
<p><code>#include <<a class="el" href="PolarStereographic_8hpp_source.html">GeographicLib/PolarStereographic.hpp</a>></code></p>
<p><a href="classGeographicLib_1_1PolarStereographic-members.html">List of all members.</a></p>
<table class="memberdecls">
<tr><td colspan="2"><h2><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classGeographicLib_1_1PolarStereographic.html#a56558071847ee7d71674ac29a23ec653">PolarStereographic</a> (real a, real r, real k0)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classGeographicLib_1_1PolarStereographic.html#a3f957214eb1d1248277a680e4c4ceed5">SetScale</a> (real lat, real k=real(1))</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classGeographicLib_1_1PolarStereographic.html#a30ef1a1f906ee389e2a5f7e5fd7d8fa4">Forward</a> (bool northp, real lat, real lon, real &x, real &y, real &gamma, real &k) const throw ()</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classGeographicLib_1_1PolarStereographic.html#a01302b8dba43c57e3c3849f94123a157">Reverse</a> (bool northp, real x, real y, real &lat, real &lon, real &gamma, real &k) const throw ()</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classGeographicLib_1_1PolarStereographic.html#ac2fe4c9524ec35f8d05336555f96e1b1">Forward</a> (bool northp, real lat, real lon, real &x, real &y) const throw ()</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classGeographicLib_1_1PolarStereographic.html#a16572cc552eeb24ebf84319cdcd6652e">Reverse</a> (bool northp, real x, real y, real &lat, real &lon) const throw ()</td></tr>
<tr><td colspan="2"><div class="groupHeader">Inspector functions</div></td></tr>
<tr><td colspan="2"><div class="groupText"><p><a class="anchor" id="amgrp59c92495387f56c5711d0f52918a49b2"></a> </p>
</div></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classGeographicLib_1_1Math.html#aeee4778d7cf2f9fb9648efe4911da59d">Math::real</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classGeographicLib_1_1PolarStereographic.html#ab1746576356a2409f34d9527064adfdd">MajorRadius</a> () const throw ()</td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classGeographicLib_1_1Math.html#aeee4778d7cf2f9fb9648efe4911da59d">Math::real</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classGeographicLib_1_1PolarStereographic.html#a969a21c3df38517a081e233ae90c098e">InverseFlattening</a> () const throw ()</td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classGeographicLib_1_1Math.html#aeee4778d7cf2f9fb9648efe4911da59d">Math::real</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classGeographicLib_1_1PolarStereographic.html#ad6f7bd8a35208d91706ac8c258387e6f">CentralScale</a> () const throw ()</td></tr>
<tr><td colspan="2"><h2><a name="pub-static-attribs"></a>
Static Public Attributes</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="classGeographicLib_1_1PolarStereographic.html">PolarStereographic</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classGeographicLib_1_1PolarStereographic.html#a2db6bcb1b59a6ddc6087ee04c64c9825">UPS</a></td></tr>
</table>
<hr/><a name="_details"></a><h2>Detailed Description</h2>
<p>Polar Stereographic Projection. </p>
<p>Implementation taken from the report,</p>
<ul>
<li>J. P. Snyder, <a href="http://pubs.er.usgs.gov/usgspubs/pp/pp1395">Map Projections: A Working Manual</a>, USGS Professional Paper 1395 (1987), pp. 160–163.</li>
</ul>
<p>This is a straightforward implementation of the equations in Snyder except that Newton's method is used to invert the projection. </p>
<p>Definition at line <a class="el" href="PolarStereographic_8hpp_source.html#l00029">29</a> of file <a class="el" href="PolarStereographic_8hpp_source.html">PolarStereographic.hpp</a>.</p>
<hr/><h2>Constructor & Destructor Documentation</h2>
<a class="anchor" id="a56558071847ee7d71674ac29a23ec653"></a><!-- doxytag: member="GeographicLib::PolarStereographic::PolarStereographic" ref="a56558071847ee7d71674ac29a23ec653" args="(real a, real r, real k0)" -->
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<td class="memname">GeographicLib::PolarStereographic::PolarStereographic </td>
<td>(</td>
<td class="paramtype">real </td>
<td class="paramname"> <em>a</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">real </td>
<td class="paramname"> <em>r</em>, </td>
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<td class="paramtype">real </td>
<td class="paramname"> <em>k0</em></td><td> </td>
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<p>Constructor for a ellipsoid with</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table border="0" cellspacing="2" cellpadding="0">
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>a</em> </td><td>equatorial radius (meters) </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>r</em> </td><td>reciprocal flattening. Setting <em>r</em> = 0 implies <em>r</em> = inf or flattening = 0 (i.e., a sphere). Negative <em>r</em> indicates a prolate ellipsoid. </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>k0</em> </td><td>central scale factor.</td></tr>
</table>
</dd>
</dl>
<p>An exception is thrown if either of the axes of the ellipsoid is not positive <em>a</em> or if <em>k0</em> is not positive. </p>
<p>Definition at line <a class="el" href="PolarStereographic_8cpp_source.html#l00027">27</a> of file <a class="el" href="PolarStereographic_8cpp_source.html">PolarStereographic.cpp</a>.</p>
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<hr/><h2>Member Function Documentation</h2>
<a class="anchor" id="a3f957214eb1d1248277a680e4c4ceed5"></a><!-- doxytag: member="GeographicLib::PolarStereographic::SetScale" ref="a3f957214eb1d1248277a680e4c4ceed5" args="(real lat, real k=real(1))" -->
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<td class="memname">void GeographicLib::PolarStereographic::SetScale </td>
<td>(</td>
<td class="paramtype">real </td>
<td class="paramname"> <em>lat</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">real </td>
<td class="paramname"> <em>k</em> = <code>real(1)</code></td><td> </td>
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<p>Set the scale for the projection.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table border="0" cellspacing="2" cellpadding="0">
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>lat</em> </td><td>(degrees) assuming <em>northp</em> = true. </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>k</em> </td><td>scale at latitude <em>lat</em> (default 1).</td></tr>
</table>
</dd>
</dl>
<p>This allows a "latitude of true scale" to be specified. An exception is thrown if <em>k</em> is not positive or if <em>lat</em> is not in the range (-90, 90]. </p>
<p>Definition at line <a class="el" href="PolarStereographic_8cpp_source.html#l00125">125</a> of file <a class="el" href="PolarStereographic_8cpp_source.html">PolarStereographic.cpp</a>.</p>
<p>References <a class="el" href="PolarStereographic_8cpp_source.html#l00072">Forward()</a>.</p>
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<a class="anchor" id="a30ef1a1f906ee389e2a5f7e5fd7d8fa4"></a><!-- doxytag: member="GeographicLib::PolarStereographic::Forward" ref="a30ef1a1f906ee389e2a5f7e5fd7d8fa4" args="(bool northp, real lat, real lon, real &x, real &y, real &gamma, real &k) const " -->
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<td class="memname">void GeographicLib::PolarStereographic::Forward </td>
<td>(</td>
<td class="paramtype">bool </td>
<td class="paramname"> <em>northp</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>lat</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>lon</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">real & </td>
<td class="paramname"> <em>x</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">real & </td>
<td class="paramname"> <em>y</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">real & </td>
<td class="paramname"> <em>gamma</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">real & </td>
<td class="paramname"> <em>k</em></td><td> </td>
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<td>)</td>
<td></td><td></td><td> const throw ()</td>
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<p>Forward projection, from geographic to polar stereographic.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table border="0" cellspacing="2" cellpadding="0">
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>northp</em> </td><td>the pole which is the center of projection (true means north, false means south). </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>lat</em> </td><td>latitude of point (degrees). </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>lon</em> </td><td>longitude of point (degrees). </td></tr>
<tr><td valign="top"><tt>[out]</tt> </td><td valign="top"><em>x</em> </td><td>easting of point (meters). </td></tr>
<tr><td valign="top"><tt>[out]</tt> </td><td valign="top"><em>y</em> </td><td>northing of point (meters). </td></tr>
<tr><td valign="top"><tt>[out]</tt> </td><td valign="top"><em>gamma</em> </td><td>meridian convergence at point (degrees). </td></tr>
<tr><td valign="top"><tt>[out]</tt> </td><td valign="top"><em>k</em> </td><td>scale of projection at point.</td></tr>
</table>
</dd>
</dl>
<p>No false easting or northing is added. <em>lat</em> should be in the range (-90, 90] for <em>northp</em> = true and in the range [-90, 90) for <em>northp</em> = false; <em>lon</em> should be in the range [-180, 360]. </p>
<p>Definition at line <a class="el" href="PolarStereographic_8cpp_source.html#l00072">72</a> of file <a class="el" href="PolarStereographic_8cpp_source.html">PolarStereographic.cpp</a>.</p>
<p>References <a class="el" href="Constants_8hpp_source.html#l00160">GeographicLib::Math::hypot()</a>.</p>
<p>Referenced by <a class="el" href="UTMUPS_8cpp_source.html#l00070">GeographicLib::UTMUPS::Forward()</a>, <a class="el" href="PolarStereographic_8hpp_source.html#l00111">Forward()</a>, and <a class="el" href="PolarStereographic_8cpp_source.html#l00125">SetScale()</a>.</p>
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<a class="anchor" id="a01302b8dba43c57e3c3849f94123a157"></a><!-- doxytag: member="GeographicLib::PolarStereographic::Reverse" ref="a01302b8dba43c57e3c3849f94123a157" args="(bool northp, real x, real y, real &lat, real &lon, real &gamma, real &k) const " -->
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<td class="memname">void GeographicLib::PolarStereographic::Reverse </td>
<td>(</td>
<td class="paramtype">bool </td>
<td class="paramname"> <em>northp</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">real </td>
<td class="paramname"> <em>x</em>, </td>
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<td class="paramname"> <em>y</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">real & </td>
<td class="paramname"> <em>lat</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">real & </td>
<td class="paramname"> <em>lon</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">real & </td>
<td class="paramname"> <em>gamma</em>, </td>
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<td class="paramtype">real & </td>
<td class="paramname"> <em>k</em></td><td> </td>
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<td></td><td></td><td> const throw ()</td>
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<p>Reverse projection, from polar stereographic to geographic.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table border="0" cellspacing="2" cellpadding="0">
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>northp</em> </td><td>the pole which is the center of projection (true means north, false means south). </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>x</em> </td><td>easting of point (meters). </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>y</em> </td><td>northing of point (meters). </td></tr>
<tr><td valign="top"><tt>[out]</tt> </td><td valign="top"><em>lat</em> </td><td>latitude of point (degrees). </td></tr>
<tr><td valign="top"><tt>[out]</tt> </td><td valign="top"><em>lon</em> </td><td>longitude of point (degrees). </td></tr>
<tr><td valign="top"><tt>[out]</tt> </td><td valign="top"><em>gamma</em> </td><td>meridian convergence at point (degrees). </td></tr>
<tr><td valign="top"><tt>[out]</tt> </td><td valign="top"><em>k</em> </td><td>scale of projection at point.</td></tr>
</table>
</dd>
</dl>
<p>No false easting or northing is added. The value of <em>lon</em> returned is in the range [-180, 180). </p>
<p>Definition at line <a class="el" href="PolarStereographic_8cpp_source.html#l00095">95</a> of file <a class="el" href="PolarStereographic_8cpp_source.html">PolarStereographic.cpp</a>.</p>
<p>References <a class="el" href="Constants_8hpp_source.html#l00160">GeographicLib::Math::hypot()</a>.</p>
<p>Referenced by <a class="el" href="UTMUPS_8cpp_source.html#l00119">GeographicLib::UTMUPS::Reverse()</a>, and <a class="el" href="PolarStereographic_8hpp_source.html#l00120">Reverse()</a>.</p>
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<a class="anchor" id="ac2fe4c9524ec35f8d05336555f96e1b1"></a><!-- doxytag: member="GeographicLib::PolarStereographic::Forward" ref="ac2fe4c9524ec35f8d05336555f96e1b1" args="(bool northp, real lat, real lon, real &x, real &y) const " -->
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<td class="memname">void GeographicLib::PolarStereographic::Forward </td>
<td>(</td>
<td class="paramtype">bool </td>
<td class="paramname"> <em>northp</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>lat</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">real </td>
<td class="paramname"> <em>lon</em>, </td>
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<td class="paramtype">real & </td>
<td class="paramname"> <em>x</em>, </td>
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<td class="paramname"> <em>y</em></td><td> </td>
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<td>)</td>
<td></td><td></td><td> const throw ()<code> [inline]</code></td>
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<p><a class="el" href="classGeographicLib_1_1PolarStereographic.html#a30ef1a1f906ee389e2a5f7e5fd7d8fa4">PolarStereographic::Forward</a> without returning the convergence and scale. </p>
<p>Definition at line <a class="el" href="PolarStereographic_8hpp_source.html#l00111">111</a> of file <a class="el" href="PolarStereographic_8hpp_source.html">PolarStereographic.hpp</a>.</p>
<p>References <a class="el" href="PolarStereographic_8cpp_source.html#l00072">Forward()</a>.</p>
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<a class="anchor" id="a16572cc552eeb24ebf84319cdcd6652e"></a><!-- doxytag: member="GeographicLib::PolarStereographic::Reverse" ref="a16572cc552eeb24ebf84319cdcd6652e" args="(bool northp, real x, real y, real &lat, real &lon) const " -->
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<td class="memname">void GeographicLib::PolarStereographic::Reverse </td>
<td>(</td>
<td class="paramtype">bool </td>
<td class="paramname"> <em>northp</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">real </td>
<td class="paramname"> <em>x</em>, </td>
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<td class="paramtype">real </td>
<td class="paramname"> <em>y</em>, </td>
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<td class="paramname"> <em>lat</em>, </td>
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<p><a class="el" href="classGeographicLib_1_1PolarStereographic.html#a01302b8dba43c57e3c3849f94123a157">PolarStereographic::Reverse</a> without returning the convergence and scale. </p>
<p>Definition at line <a class="el" href="PolarStereographic_8hpp_source.html#l00120">120</a> of file <a class="el" href="PolarStereographic_8hpp_source.html">PolarStereographic.hpp</a>.</p>
<p>References <a class="el" href="PolarStereographic_8cpp_source.html#l00095">Reverse()</a>.</p>
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<a class="anchor" id="ab1746576356a2409f34d9527064adfdd"></a><!-- doxytag: member="GeographicLib::PolarStereographic::MajorRadius" ref="ab1746576356a2409f34d9527064adfdd" args="() const " -->
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<td class="memname"><a class="el" href="classGeographicLib_1_1Math.html#aeee4778d7cf2f9fb9648efe4911da59d">Math::real</a> GeographicLib::PolarStereographic::MajorRadius </td>
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<dl class="return"><dt><b>Returns:</b></dt><dd><em>a</em> the equatorial radius of the ellipsoid (meters). This is the value used in the constructor. </dd></dl>
<p>Definition at line <a class="el" href="PolarStereographic_8hpp_source.html#l00133">133</a> of file <a class="el" href="PolarStereographic_8hpp_source.html">PolarStereographic.hpp</a>.</p>
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<a class="anchor" id="a969a21c3df38517a081e233ae90c098e"></a><!-- doxytag: member="GeographicLib::PolarStereographic::InverseFlattening" ref="a969a21c3df38517a081e233ae90c098e" args="() const " -->
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<td class="memname"><a class="el" href="classGeographicLib_1_1Math.html#aeee4778d7cf2f9fb9648efe4911da59d">Math::real</a> GeographicLib::PolarStereographic::InverseFlattening </td>
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<dl class="return"><dt><b>Returns:</b></dt><dd><em>r</em> the inverse flattening of the ellipsoid. This is the value used in the constructor. A value of 0 is returned for a sphere (infinite inverse flattening). </dd></dl>
<p>Definition at line <a class="el" href="PolarStereographic_8hpp_source.html#l00140">140</a> of file <a class="el" href="PolarStereographic_8hpp_source.html">PolarStereographic.hpp</a>.</p>
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<a class="anchor" id="ad6f7bd8a35208d91706ac8c258387e6f"></a><!-- doxytag: member="GeographicLib::PolarStereographic::CentralScale" ref="ad6f7bd8a35208d91706ac8c258387e6f" args="() const " -->
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<td class="memname"><a class="el" href="classGeographicLib_1_1Math.html#aeee4778d7cf2f9fb9648efe4911da59d">Math::real</a> GeographicLib::PolarStereographic::CentralScale </td>
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<p>The central scale for the projection. This is the value of <em>k0</em> used in the constructor and is the scale at the pole unless overridden by <a class="el" href="classGeographicLib_1_1PolarStereographic.html#a3f957214eb1d1248277a680e4c4ceed5">PolarStereographic::SetScale</a>. </p>
<p>Definition at line <a class="el" href="PolarStereographic_8hpp_source.html#l00147">147</a> of file <a class="el" href="PolarStereographic_8hpp_source.html">PolarStereographic.hpp</a>.</p>
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<hr/><h2>Member Data Documentation</h2>
<a class="anchor" id="a2db6bcb1b59a6ddc6087ee04c64c9825"></a><!-- doxytag: member="GeographicLib::PolarStereographic::UPS" ref="a2db6bcb1b59a6ddc6087ee04c64c9825" args="" -->
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<td class="memname">const <a class="el" href="classGeographicLib_1_1PolarStereographic.html">PolarStereographic</a> <a class="el" href="classGeographicLib_1_1PolarStereographic.html#a2db6bcb1b59a6ddc6087ee04c64c9825">GeographicLib::PolarStereographic::UPS</a><code> [static]</code></td>
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<p>A global instantiation of <a class="el" href="classGeographicLib_1_1PolarStereographic.html" title="Polar Stereographic Projection.">PolarStereographic</a> with the WGS84 ellipsoid and the UPS scale factor. However, unlike UPS, no false easting or northing is added. </p>
<p>Definition at line <a class="el" href="PolarStereographic_8hpp_source.html#l00155">155</a> of file <a class="el" href="PolarStereographic_8hpp_source.html">PolarStereographic.hpp</a>.</p>
<p>Referenced by <a class="el" href="UTMUPS_8cpp_source.html#l00070">GeographicLib::UTMUPS::Forward()</a>, and <a class="el" href="UTMUPS_8cpp_source.html#l00119">GeographicLib::UTMUPS::Reverse()</a>.</p>
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<hr/>The documentation for this class was generated from the following files:<ul>
<li><a class="el" href="PolarStereographic_8hpp_source.html">PolarStereographic.hpp</a></li>
<li><a class="el" href="PolarStereographic_8cpp_source.html">PolarStereographic.cpp</a></li>
</ul>
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