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<li><A href="./qrfunc00.html">Including Source Files</A></li>
<li><A href="./qrfunc01.html">Comments</A></li>
<li><A href="./qrfunc02.html">Issuing Shell Commands</A></li>
<li><A href="./qrfunc03.html">Matrix Multiplication</A></li>
<li><A href="./qrfunc04.html">Information About Variables</A></li>
<li><A href="./qrfunc05.html">Elementary Functions</A></li>
<li><A href="./qrfunc06.html">Advanced Array Indexing</A></li>
<li><A href="./qrfunc07.html">Index Range Functions</A></li>
<li><A href="./qrfunc08.html">Logical Functions</A></li>
<li><A href="./qrfunc09.html">Interpolation and Lookup Functions</A></li>
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<h1>Yorick Function Reference</h1>
<h2>Interpolation and Lookup Functions</h2>
<p>In the following function, <i>y </i>and <i>x </i>are one-dimensional
arrays which determine a piecewise linear function <i>y(x)</i>. The <i>x
</i>must be monotonic. The <i>xp </i>(for <i>x </i>-prime) can be an array of any
dimensionality; the dimensions of the result will be the same as the dimensions
of <i>xp</i>.
</p>
<p><tt>digitize(<i>xp, x</i>) </tt> returns indices of <i>xp </i>values
in <i>x</i>
<br><tt>interp(<i>y, x, xp</i>) </tt> returns <i>yp</i>, <i>xp
</i>interpolated
into <i>y(x)</i>
<br><tt>integ(<i>y, x, xp</i>) </tt> returns the integrals of <i>y(x) </i>from
<i>x</i>(1) to <i>xp</i>
</p>
<p>Note that <tt>integ</tt> is really an area-conserving interpolator.
If the <i>xp</i> coincide with <i>x</i>, you probably want to use
<br><tt> (</tt><i>y </i><tt>(zcen)*</tt><i>x </i><tt>(dif))(cum)</tt>
<br>instead.
</p>
<p>The on-line <tt>help</tt> documentation for <tt>interp</tt> describes
how to use <tt>interp</tt> and <tt>integ</tt> with multidimensional <i>y</i>
arrays.
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