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<a name="Quadrature"></a>
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Next: <a href="Ordinary-Differential-Equations.html#Ordinary-Differential-Equations" accesskey="n" rel="next">Ordinary Differential Equations</a>, Previous: <a href="Optimization.html#Optimization" accesskey="p" rel="prev">Optimization</a>, Up: <a href="index.html#Top" accesskey="u" rel="up">Top</a> &nbsp; [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Concept-Index.html#Concept-Index" title="Index" rel="index">Index</a>]</p>
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<hr>
<a name="Quadrature-1"></a>
<h2 class="chapter">10 Quadrature</h2>
<a name="index-quadrature"></a>
<a name="index-numerical-integration"></a>
<a name="index-integration"></a>

<dl>
<dt><a name="index-Quad"></a>: <em></em> <strong>Quad</strong> <em>(integrand_fcn <var>fcn</var>)</em></dt>
<dt><a name="index-Quad-1"></a>: <em></em> <strong>Quad</strong> <em>(integrand_fcn <var>fcn</var>, double <var>abs</var>, double <var>rel</var>)</em></dt>
</dl>

<dl>
<dt><a name="index-integrate"></a>: <em>virtual double</em> <strong>integrate</strong> <em>(void)</em></dt>
<dt><a name="index-integrate-1"></a>: <em>virtual double</em> <strong>integrate</strong> <em>(int &amp;<var>ier</var>)</em></dt>
<dt><a name="index-integrate-2"></a>: <em>virtual double</em> <strong>integrate</strong> <em>(int &amp;<var>ier</var>, int &amp;<var>neval</var>)</em></dt>
<dt><a name="index-integrate-3"></a>: <em>virtual double</em> <strong>integrate</strong> <em>(int &amp;<var>ier</var>, int &amp;<var>neval</var>, double &amp;<var>abserr</var>) = 0</em></dt>
</dl>

<dl>
<dt><a name="index-Quad_005foptions"></a>: <em></em> <strong>Quad_options</strong> <em>(void)</em></dt>
<dt><a name="index-Quad_005foptions-1"></a>: <em></em> <strong>Quad_options</strong> <em>(const Quad_options &amp;<var>opt</var>)</em></dt>
</dl>

<dl>
<dt><a name="index-operator-_003d-34"></a>: <em>Quad_options&amp;</em> <strong>operator =</strong> <em>(const Quad_options &amp;<var>opt</var>)</em></dt>
</dl>

<dl>
<dt><a name="index-init-1"></a>: <em>void</em> <strong>init</strong> <em>(void)</em></dt>
</dl>

<dl>
<dt><a name="index-copy-1"></a>: <em>void</em> <strong>copy</strong> <em>(const Quad_options &amp;<var>opt</var>)</em></dt>
</dl>

<dl>
<dt><a name="index-set_005fdefault_005foptions-1"></a>: <em>void</em> <strong>set_default_options</strong> <em>(void)</em></dt>
</dl>

<dl>
<dt><a name="index-set_005fabsolute_005ftolerance"></a>: <em>void</em> <strong>set_absolute_tolerance</strong> <em>(double <var>val</var>)</em></dt>
</dl>

<dl>
<dt><a name="index-set_005frelative_005ftolerance"></a>: <em>void</em> <strong>set_relative_tolerance</strong> <em>(double <var>val</var>)</em></dt>
</dl>

<dl>
<dt><a name="index-absolute_005ftolerance"></a>: <em>double</em> <strong>absolute_tolerance</strong> <em>(void)</em></dt>
<dt><a name="index-relative_005ftolerance"></a>: <em>double</em> <strong>relative_tolerance</strong> <em>(void)</em></dt>
</dl>

<dl>
<dt><a name="index-DefQuad"></a>: <em></em> <strong>DefQuad</strong> <em>(integrand_fcn <var>fcn</var>)</em></dt>
<dt><a name="index-DefQuad-1"></a>: <em></em> <strong>DefQuad</strong> <em>(integrand_fcn <var>fcn</var>, double <var>ll</var>, double <var>ul</var>)</em></dt>
<dt><a name="index-DefQuad-2"></a>: <em></em> <strong>DefQuad</strong> <em>(integrand_fcn <var>fcn</var>, double <var>ll</var>, double <var>ul</var>, double <var>abs</var>, double <var>rel</var>)</em></dt>
<dt><a name="index-DefQuad-3"></a>: <em></em> <strong>DefQuad</strong> <em>(integrand_fcn <var>fcn</var>, double <var>ll</var>, double <var>ul</var>, const ColumnVector &amp;<var>sing</var>)</em></dt>
<dt><a name="index-DefQuad-4"></a>: <em></em> <strong>DefQuad</strong> <em>(integrand_fcn <var>fcn</var>, const ColumnVector &amp;<var>sing</var>, double <var>abs</var>, double <var>rel</var>)</em></dt>
<dt><a name="index-DefQuad-5"></a>: <em></em> <strong>DefQuad</strong> <em>(integrand_fcn <var>fcn</var>, const ColumnVector &amp;<var>sing</var>)</em></dt>
<dt><a name="index-DefQuad-6"></a>: <em></em> <strong>DefQuad</strong> <em>(integrand_fcn <var>fcn</var>, double <var>ll</var>, double <var>ul</var>, const ColumnVector &amp;<var>sing</var>, double <var>abs</var>, double <var>rel</var>)</em></dt>
</dl>

<dl>
<dt><a name="index-IndefQuad"></a>: <em></em> <strong>IndefQuad</strong> <em>(integrand_fcn <var>fcn</var>)</em></dt>
<dt><a name="index-IndefQuad-1"></a>: <em></em> <strong>IndefQuad</strong> <em>(integrand_fcn <var>fcn</var>, double <var>b</var>, IntegralType <var>t</var>)</em></dt>
<dt><a name="index-IndefQuad-2"></a>: <em></em> <strong>IndefQuad</strong> <em>(integrand_fcn <var>fcn</var>, double <var>b</var>, IntegralType <var>t</var>, double <var>abs</var>, double <var>rel</var>)</em></dt>
<dt><a name="index-IndefQuad-3"></a>: <em></em> <strong>IndefQuad</strong> <em>(integrand_fcn <var>fcn</var>, double <var>abs</var>, double <var>rel</var>)</em></dt>
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