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plschmidt.html
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plschmidt.html
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<h1 class="post-title-main">PlSchmidt (Fortran)</h1>
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<p>Compute all the Schmidt-normalized Legendre polynomials.</p>
<h2 id="usage">Usage</h2>
<p>call PlSchmidt (<code class="highlighter-rouge">p</code>, <code class="highlighter-rouge">lmax</code>, <code class="highlighter-rouge">z</code>, <code class="highlighter-rouge">exitstatus</code>)</p>
<h2 id="parameters">Parameters</h2>
<dl>
<dt><code class="highlighter-rouge">p</code> : output, real(dp), dimension (<code class="highlighter-rouge">lmax</code>+1)</dt>
<dd>An array of Schmidt-normalized Legendre polynomials up to degree <code class="highlighter-rouge">lmax</code>. Degree <code class="highlighter-rouge">l</code> corresponds to array index <code class="highlighter-rouge">l+1</code>.</dd>
<dt><code class="highlighter-rouge">lmax</code> : input, integer</dt>
<dd>The maximum degree of the Legendre polynomials to be computed.</dd>
<dt><code class="highlighter-rouge">z</code> : input, real(dp)</dt>
<dd>The argument of the Legendre polynomial.</dd>
<dt><code class="highlighter-rouge">exitstatus</code> : output, optional, integer</dt>
<dd>If present, instead of executing a STOP when an error is encountered, the variable exitstatus will be returned describing the error. 0 = No errors; 1 = Improper dimensions of input array; 2 = Improper bounds for input variable; 3 = Error allocating memory; 4 = File IO error.</dd>
</dl>
<h2 id="description">Description</h2>
<p><code class="highlighter-rouge">PlSchmidt</code> will calculate all of the Schmidt-normalized Legendre polynomials up to degree <code class="highlighter-rouge">lmax</code> for a given argument. These are calculated using a standard three-term recursion formula. The integral of the Schmidt-normalized Legendre polynomials over the interval [-1, 1] is <code class="highlighter-rouge">2/(2l+1)</code>.</p>
<h2 id="see-also">See also</h2>
<p><a href="plbar.html">plbar</a>, <a href="plbar_d1.html">plbar_d1</a>, <a href="plmbar.html">plmbar</a>, <a href="plmbar_d1.html">plmbar_d1</a>, <a href="plon.html">plon</a>, <a href="plon_d1.html">plon_d1</a>, <a href="plmon.html">plmon</a>, <a href="plmon_d1.html">plmon_d1</a>, <a href="plschmidt.html">plschmidt</a>, <a href="plschmidt_d1.html">plschmidt_d1</a>, <a href="plmschmidt_d1.html">plmschmidt_d1</a>, <a href="plegendre.html">plegendre</a>, <a href="plegendre_d1.html">plegendre_d1</a>, <a href="plegendrea.html">plegendrea</a>, <a href="plegendrea_d1.html">plegendrea_d1</a></p>
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