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libqwt-devel-5.2.0-1mdv2010.0.i586.rpm

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<title>Qwt User&#39;s Guide: QwtSpline Class Reference</title>
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<h1>QwtSpline Class Reference</h1><!-- doxytag: class="QwtSpline" -->A class for spline interpolation.  
<a href="#_details">More...</a>
<p>
<code>#include &lt;<a class="el" href="qwt__spline_8h-source.html">qwt_spline.h</a>&gt;</code>
<p>

<p>
<a href="class_qwt_spline-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0">
<tr><td></td></tr>
<tr><td colspan="2"><br><h2>Public Types</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">enum &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#2bd2bda128f82acd596348eb8d64231c">SplineType</a> { <br>
&nbsp;&nbsp;<b>Natural</b>, 
<br>
&nbsp;&nbsp;<b>Periodic</b>
<br>
 }</td></tr>

<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#5d1e0ba35c637a88c66d9e4cbaf36e93">QwtSpline</a> ()</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#2e42391f76d0b3091bf7754239f3ff0d">QwtSpline</a> (const <a class="el" href="class_qwt_spline.html">QwtSpline</a> &amp;)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#90805882826469c94fdc871f18261bb6">~QwtSpline</a> ()</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="class_qwt_spline.html">QwtSpline</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#8a597c34477dd4b5298db2d445b4e596">operator=</a> (const <a class="el" href="class_qwt_spline.html">QwtSpline</a> &amp;)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#222953661f01658a16042d587196aff8">setSplineType</a> (<a class="el" href="class_qwt_spline.html#2bd2bda128f82acd596348eb8d64231c">SplineType</a>)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="class_qwt_spline.html#2bd2bda128f82acd596348eb8d64231c">SplineType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#36442cbb781422e5b97ae242265dd4b4">splineType</a> () const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#6ed13410b1d5f6b33ba0e3c2b07932cf">setPoints</a> (const QPolygonF &amp;points)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">QPolygonF&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#14694e61052933921eda629062554d22">points</a> () const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#fc52fd49e7f00d57a0336059fae299c0">reset</a> ()</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#8eb42cf7f0f81bb7b7b885466f8ebbbf">isValid</a> () const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#1f67187eefe2959f0c902532edf64d41">value</a> (double x) const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">const QwtArray&lt; double &gt; &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#aed3d0738d5df96169a427c728771ed3">coefficientsA</a> () const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">const QwtArray&lt; double &gt; &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#a199126e9ecf390cbabd3e39cb064177">coefficientsB</a> () const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">const QwtArray&lt; double &gt; &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#09861deaddc5fdeac736e999bcced155">coefficientsC</a> () const </td></tr>

<tr><td colspan="2"><br><h2>Protected Member Functions</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#1cdf09e841dd6a721eb788914273c484">buildNaturalSpline</a> (const QPolygonF &amp;)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#8184717f8c018e69fabd1e33ac68ef19">buildPeriodicSpline</a> (const QPolygonF &amp;)</td></tr>

<tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="784545391f14c014684f391c6d92fd27"></a><!-- doxytag: member="QwtSpline::d_data" ref="784545391f14c014684f391c6d92fd27" args="" -->
PrivateData *&nbsp;</td><td class="memItemRight" valign="bottom"><b>d_data</b></td></tr>

</table>
<hr><a name="_details"></a><h2>Detailed Description</h2>
A class for spline interpolation. 
<p>
The <a class="el" href="class_qwt_spline.html" title="A class for spline interpolation.">QwtSpline</a> class is used for cubical spline interpolation. Two types of splines, natural and periodic, are supported.<p>
<dl class="user" compact><dt><b>Usage:</b></dt><dd><ol>
<li>
First call <a class="el" href="class_qwt_spline.html#6ed13410b1d5f6b33ba0e3c2b07932cf" title="Calculate the spline coefficients.">setPoints()</a> to determine the spline coefficients for a tabulated function y(x). </li>
<li>
After the coefficients have been set up, the interpolated function value for an argument x can be determined by calling <a class="el" href="class_qwt_spline.html#1f67187eefe2959f0c902532edf64d41">QwtSpline::value()</a>. </li>
</ol>
</dd></dl>
<dl class="user" compact><dt><b>Example:</b></dt><dd><div class="fragment"><pre class="fragment"><span class="preprocessor">#include &lt;qwt_spline.h&gt;</span>

QPolygonF interpolate(<span class="keyword">const</span> QPolygonF&amp; <a class="code" href="class_qwt_spline.html#14694e61052933921eda629062554d22">points</a>, <span class="keywordtype">int</span> numValues)
{
    <a class="code" href="class_qwt_spline.html" title="A class for spline interpolation.">QwtSpline</a> spline;
    <span class="keywordflow">if</span> ( !spline.<a class="code" href="class_qwt_spline.html#6ed13410b1d5f6b33ba0e3c2b07932cf" title="Calculate the spline coefficients.">setPoints</a>(points) ) 
        <span class="keywordflow">return</span> points;

    QPolygonF interpolatedPoints(numValues);

    <span class="keyword">const</span> <span class="keywordtype">double</span> delta = 
        (points[numPoints - 1].x() - points[0].x()) / (points.size() - 1);
    <span class="keywordflow">for</span>(i = 0; i &lt; points.size(); i++)  / interpolate
    {
        <span class="keyword">const</span> <span class="keywordtype">double</span> x = points[0].x() + i * delta;
        interpolatedPoints[i].setX(x);
        interpolatedPoints[i].setY(spline.<a class="code" href="class_qwt_spline.html#1f67187eefe2959f0c902532edf64d41">value</a>(x));
    }
    <span class="keywordflow">return</span> interpolatedPoints;
}
</pre></div> </dd></dl>
<hr><h2>Member Enumeration Documentation</h2>
<a class="anchor" name="2bd2bda128f82acd596348eb8d64231c"></a><!-- doxytag: member="QwtSpline::SplineType" ref="2bd2bda128f82acd596348eb8d64231c" args="" -->
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<div class="memproto">
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          <td class="memname">enum <a class="el" href="class_qwt_spline.html#2bd2bda128f82acd596348eb8d64231c">QwtSpline::SplineType</a>          </td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Spline type. 
<p>

</div>
</div><p>
<hr><h2>Constructor &amp; Destructor Documentation</h2>
<a class="anchor" name="5d1e0ba35c637a88c66d9e4cbaf36e93"></a><!-- doxytag: member="QwtSpline::QwtSpline" ref="5d1e0ba35c637a88c66d9e4cbaf36e93" args="()" -->
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          <td class="memname">QwtSpline::QwtSpline           </td>
          <td>(</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td></td>
        </tr>
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<div class="memdoc">

<p>
Constructor. 
<p>

</div>
</div><p>
<a class="anchor" name="2e42391f76d0b3091bf7754239f3ff0d"></a><!-- doxytag: member="QwtSpline::QwtSpline" ref="2e42391f76d0b3091bf7754239f3ff0d" args="(const QwtSpline &amp;)" -->
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          <td class="memname">QwtSpline::QwtSpline           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="class_qwt_spline.html">QwtSpline</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>other</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Copy constructor <dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"></td><td valign="top"><em>other</em>&nbsp;</td><td>Spline used for initilization </td></tr>
  </table>
</dl>

</div>
</div><p>
<a class="anchor" name="90805882826469c94fdc871f18261bb6"></a><!-- doxytag: member="QwtSpline::~QwtSpline" ref="90805882826469c94fdc871f18261bb6" args="()" -->
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          <td class="memname">QwtSpline::~QwtSpline           </td>
          <td>(</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Destructor. 
<p>

</div>
</div><p>
<hr><h2>Member Function Documentation</h2>
<a class="anchor" name="1cdf09e841dd6a721eb788914273c484"></a><!-- doxytag: member="QwtSpline::buildNaturalSpline" ref="1cdf09e841dd6a721eb788914273c484" args="(const QPolygonF &amp;)" -->
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          <td class="memname">bool QwtSpline::buildNaturalSpline           </td>
          <td>(</td>
          <td class="paramtype">const QPolygonF &amp;&nbsp;</td>
          <td class="paramname"> <em>points</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td><code> [protected]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Determines the coefficients for a natural spline. 
<p>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>true if successful </dd></dl>

</div>
</div><p>
<a class="anchor" name="8184717f8c018e69fabd1e33ac68ef19"></a><!-- doxytag: member="QwtSpline::buildPeriodicSpline" ref="8184717f8c018e69fabd1e33ac68ef19" args="(const QPolygonF &amp;)" -->
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          <td class="memname">bool QwtSpline::buildPeriodicSpline           </td>
          <td>(</td>
          <td class="paramtype">const QPolygonF &amp;&nbsp;</td>
          <td class="paramname"> <em>points</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td><code> [protected]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Determines the coefficients for a periodic spline. 
<p>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>true if successful </dd></dl>

</div>
</div><p>
<a class="anchor" name="aed3d0738d5df96169a427c728771ed3"></a><!-- doxytag: member="QwtSpline::coefficientsA" ref="aed3d0738d5df96169a427c728771ed3" args="() const " -->
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<div class="memproto">
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          <td class="memname">const QwtArray&lt; double &gt; &amp; QwtSpline::coefficientsA           </td>
          <td>(</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const</td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>A coefficients </dd></dl>

</div>
</div><p>
<a class="anchor" name="a199126e9ecf390cbabd3e39cb064177"></a><!-- doxytag: member="QwtSpline::coefficientsB" ref="a199126e9ecf390cbabd3e39cb064177" args="() const " -->
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          <td class="memname">const QwtArray&lt; double &gt; &amp; QwtSpline::coefficientsB           </td>
          <td>(</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const</td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>B coefficients </dd></dl>

</div>
</div><p>
<a class="anchor" name="09861deaddc5fdeac736e999bcced155"></a><!-- doxytag: member="QwtSpline::coefficientsC" ref="09861deaddc5fdeac736e999bcced155" args="() const " -->
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          <td class="memname">const QwtArray&lt; double &gt; &amp; QwtSpline::coefficientsC           </td>
          <td>(</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const</td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>C coefficients </dd></dl>

</div>
</div><p>
<a class="anchor" name="8eb42cf7f0f81bb7b7b885466f8ebbbf"></a><!-- doxytag: member="QwtSpline::isValid" ref="8eb42cf7f0f81bb7b7b885466f8ebbbf" args="() const " -->
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          <td class="memname">bool QwtSpline::isValid           </td>
          <td>(</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const</td>
        </tr>
      </table>
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<div class="memdoc">

<p>
True if valid. 
<p>

</div>
</div><p>
<a class="anchor" name="8a597c34477dd4b5298db2d445b4e596"></a><!-- doxytag: member="QwtSpline::operator=" ref="8a597c34477dd4b5298db2d445b4e596" args="(const QwtSpline &amp;)" -->
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          <td class="memname"><a class="el" href="class_qwt_spline.html">QwtSpline</a> &amp; QwtSpline::operator=           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="class_qwt_spline.html">QwtSpline</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>other</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td></td>
        </tr>
      </table>
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<p>
Assignment operator <dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"></td><td valign="top"><em>other</em>&nbsp;</td><td>Spline used for initilization </td></tr>
  </table>
</dl>

</div>
</div><p>
<a class="anchor" name="14694e61052933921eda629062554d22"></a><!-- doxytag: member="QwtSpline::points" ref="14694e61052933921eda629062554d22" args="() const " -->
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          <td class="memname">QPolygonF QwtSpline::points           </td>
          <td>(</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const</td>
        </tr>
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<div class="memdoc">

<p>
Return points passed by setPoints 
</div>
</div><p>
<a class="anchor" name="fc52fd49e7f00d57a0336059fae299c0"></a><!-- doxytag: member="QwtSpline::reset" ref="fc52fd49e7f00d57a0336059fae299c0" args="()" -->
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          <td class="memname">void QwtSpline::reset           </td>
          <td>(</td>
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          <td>&nbsp;)&nbsp;</td>
          <td></td>
        </tr>
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<div class="memdoc">

<p>
Free allocated memory and set size to 0. 
<p>

</div>
</div><p>
<a class="anchor" name="6ed13410b1d5f6b33ba0e3c2b07932cf"></a><!-- doxytag: member="QwtSpline::setPoints" ref="6ed13410b1d5f6b33ba0e3c2b07932cf" args="(const QPolygonF &amp;points)" -->
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          <td class="memname">bool QwtSpline::setPoints           </td>
          <td>(</td>
          <td class="paramtype">const QPolygonF &amp;&nbsp;</td>
          <td class="paramname"> <em>points</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td></td>
        </tr>
      </table>
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<div class="memdoc">

<p>
Calculate the spline coefficients. 
<p>
Depending on the value of <em>periodic</em>, this function will determine the coefficients for a natural or a periodic spline and store them internally.<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"></td><td valign="top"><em>x</em>&nbsp;</td><td></td></tr>
    <tr><td valign="top"></td><td valign="top"><em>y</em>&nbsp;</td><td>points </td></tr>
    <tr><td valign="top"></td><td valign="top"><em>size</em>&nbsp;</td><td>number of points </td></tr>
    <tr><td valign="top"></td><td valign="top"><em>periodic</em>&nbsp;</td><td>if true, calculate periodic spline </td></tr>
  </table>
</dl>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>true if successful </dd></dl>
<dl class="warning" compact><dt><b>Warning:</b></dt><dd>The sequence of x (but not y) values has to be strictly monotone increasing, which means <code>x[0] &lt; x[1] &lt; .... &lt; x[n-1]</code>. If this is not the case, the function will return false </dd></dl>

</div>
</div><p>
<a class="anchor" name="222953661f01658a16042d587196aff8"></a><!-- doxytag: member="QwtSpline::setSplineType" ref="222953661f01658a16042d587196aff8" args="(SplineType)" -->
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          <td class="memname">void QwtSpline::setSplineType           </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="class_qwt_spline.html#2bd2bda128f82acd596348eb8d64231c">SplineType</a>&nbsp;</td>
          <td class="paramname"> <em>splineType</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Select the algorithm used for calculating the spline<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"></td><td valign="top"><em>splineType</em>&nbsp;</td><td>Spline type </td></tr>
  </table>
</dl>
<dl class="see" compact><dt><b>See also:</b></dt><dd><a class="el" href="class_qwt_spline.html#36442cbb781422e5b97ae242265dd4b4">splineType()</a> </dd></dl>

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<a class="anchor" name="36442cbb781422e5b97ae242265dd4b4"></a><!-- doxytag: member="QwtSpline::splineType" ref="36442cbb781422e5b97ae242265dd4b4" args="() const " -->
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          <td class="memname"><a class="el" href="class_qwt_spline.html#2bd2bda128f82acd596348eb8d64231c">QwtSpline::SplineType</a> QwtSpline::splineType           </td>
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<dl class="return" compact><dt><b>Returns:</b></dt><dd>the spline type </dd></dl>
<dl class="see" compact><dt><b>See also:</b></dt><dd><a class="el" href="class_qwt_spline.html#222953661f01658a16042d587196aff8">setSplineType()</a> </dd></dl>

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<a class="anchor" name="1f67187eefe2959f0c902532edf64d41"></a><!-- doxytag: member="QwtSpline::value" ref="1f67187eefe2959f0c902532edf64d41" args="(double x) const " -->
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          <td class="memname">double QwtSpline::value           </td>
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Calculate the interpolated function value corresponding to a given argument x. 
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<hr size="1"><address style="text-align: right;"><small>Generated on Sun Mar 22 16:41:27 2009 for Qwt User's Guide by&nbsp;
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