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makegridpoint.html
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makegridpoint.html
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"
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<h1 id="makegridpoint">MakeGridPoint</h1>
<p>Evaluate a function expressed in spherical harmonics at a single point.</p>
<h1 id="usage">Usage</h1>
<p><code>value</code> = MakeGridPoint (<code>cilm</code>, <code>lmax</code>, <code>lat</code>, <code>lon</code>, <code>norm</code>, <code>csphase</code>, <code>dealloc</code>)</p>
<h1 id="parameters">Parameters</h1>
<dl>
<dt><code>value</code> : output, real*8</dt>
<dd>Value of the function at (<code>lat</code>, <code>lon</code>).
</dd>
<dt><code>cilm</code> : input, real*8, dimension (2, <code>lmax</code>+1, <code>lmax</code>+1)</dt>
<dd>The real spherical harmonic coefficients of the function. The coefficients <code>C1lm</code> and <code>C2lm</code> refer to the cosine (<code>Clm</code>) and sine (<code>Slm</code>) coefficients, respectively, with <code>Clm=cilm(1,l+1,m+1)</code> and <code>Slm=cilm(2,l+1,m+1)</code>.
</dd>
<dt><code>lmax</code> : input, integer</dt>
<dd>The maximum spherical harmonic degree used in evaluating the function.
</dd>
<dt><code>lat</code> : input, real*8</dt>
<dd>The latitude of the point in DEGREES.
</dd>
<dt><code>lon</code> : input, rea8</dt>
<dd>The longitude of the point in DEGREES.
</dd>
<dt><code>norm</code> : input, optional, integer, default = 1</dt>
<dd>1 (default) = Geodesy 4-pi normalized harmonics; 2 = Schmidt semi-normalized harmonics; 3 = unnormalized harmonics; 4 = orthonormal harmonics.
</dd>
<dt><code>csphase</code> : input, optional, integer, default = 1</dt>
<dd>1 (default) = do not apply the Condon-Shortley phase factor to the associated Legendre functions; -1 = append the Condon-Shortley phase factor of (-1)^m to the associated Legendre functions.
</dd>
<dt><code>dealloc</code> : input, optional, integer, default = 0</dt>
<dd>0 (default) = Save variables used in the external Legendre function calls. (1) Deallocate this memory at the end of the funcion call.
</dd>
</dl>
<h1 id="description">Description</h1>
<p><code>MakeGridPoint</code> will expand a function expressed in spherical harmonics at a single point. The input latitude and longitude are in degrees. The employed spherical harmonic normalization and Condon-Shortley phase convention can be set by the optional arguments <code>norm</code> and <code>csphase</code>; if not set, the default is to use geodesy 4-pi normalized harmonics that exclude the Condon-Shortley phase of (-1)^m.</p>
<h1 id="see-also">See also</h1>
<p><a href="makegriddh.html"><code>makegriddh</code></a>, <a href="makegriddhc.html"><code>makegriddhc</code></a>, <a href="makegridglq.html"><code>makegridglq</code></a>, <a href="makegridglqc.html"><code>makegridglqc</code></a></p>
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> <a href="../../../index.html" class="dir">Home</a> > <a href="../../documentation.html" class="dir">Documentation</a> > <a href="../../f95-routines.html" class="dir">Fortran 95</a> > <a href="../../transformations.html" class="dir">Spherical Harmonic Transformations</a></p>
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<td class="c1"><a href="http://www.ipgp.fr/">Institut de Physique du Globe de Paris</a></td>
<td class="c2"><a href="http://www.sorbonne-paris-cite.fr/index.php/en">University of Sorbonne Paris Cité</a></td>
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