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+<!-- ======== START OF CLASS DATA ======== -->
+<div class="header">
+<div class="subTitle">org.apache.commons.math3.analysis.integration</div>
+<h2 title="Class MidPointIntegrator" class="title">Class MidPointIntegrator</h2>
+</div>
+<div class="contentContainer">
+<ul class="inheritance">
+<li><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</a></li>
+<li>
+<ul class="inheritance">
+<li><a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html" title="class in org.apache.commons.math3.analysis.integration">org.apache.commons.math3.analysis.integration.BaseAbstractUnivariateIntegrator</a></li>
+<li>
+<ul class="inheritance">
+<li>org.apache.commons.math3.analysis.integration.MidPointIntegrator</li>
+</ul>
+</li>
+</ul>
+</li>
+</ul>
+<div class="description">
+<ul class="blockList">
+<li class="blockList">
+<dl>
+<dt>All Implemented Interfaces:</dt>
+<dd><a href="../../../../../../org/apache/commons/math3/analysis/integration/UnivariateIntegrator.html" title="interface in org.apache.commons.math3.analysis.integration">UnivariateIntegrator</a></dd>
+</dl>
+<hr>
+<br>
+<pre>public class <span class="strong">MidPointIntegrator</span>
+extends <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html" title="class in org.apache.commons.math3.analysis.integration">BaseAbstractUnivariateIntegrator</a></pre>
+<div class="block">Implements the <a href="http://en.wikipedia.org/wiki/Midpoint_method">
+ Midpoint Rule</a> for integration of real univariate functions. For
+ reference, see <b>Numerical Mathematics</b>, ISBN 0387989595,
+ chapter 9.2.
+ <p>
+ The function should be integrable.</p></div>
+<dl><dt><span class="strong">Since:</span></dt>
+ <dd>3.3</dd></dl>
+</li>
+</ul>
+</div>
+<div class="summary">
+<ul class="blockList">
+<li class="blockList">
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+<caption><span>Fields</span><span class="tabEnd">&nbsp;</span></caption>
+<tr>
+<th class="colFirst" scope="col">Modifier and Type</th>
+<th class="colLast" scope="col">Field and Description</th>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>static int</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/integration/MidPointIntegrator.html#MIDPOINT_MAX_ITERATIONS_COUNT">MIDPOINT_MAX_ITERATIONS_COUNT</a></strong></code>
+<div class="block">Maximum number of iterations for midpoint.</div>
+</td>
+</tr>
+</table>
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+<code><a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#DEFAULT_ABSOLUTE_ACCURACY">DEFAULT_ABSOLUTE_ACCURACY</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#DEFAULT_MAX_ITERATIONS_COUNT">DEFAULT_MAX_ITERATIONS_COUNT</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#DEFAULT_MIN_ITERATIONS_COUNT">DEFAULT_MIN_ITERATIONS_COUNT</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#DEFAULT_RELATIVE_ACCURACY">DEFAULT_RELATIVE_ACCURACY</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#iterations">iterations</a></code></li>
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+<h3>Constructor Summary</h3>
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+<caption><span>Constructors</span><span class="tabEnd">&nbsp;</span></caption>
+<tr>
+<th class="colOne" scope="col">Constructor and Description</th>
+</tr>
+<tr class="altColor">
+<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/integration/MidPointIntegrator.html#MidPointIntegrator()">MidPointIntegrator</a></strong>()</code>
+<div class="block">Construct a midpoint integrator with default settings.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/integration/MidPointIntegrator.html#MidPointIntegrator(double,%20double,%20int,%20int)">MidPointIntegrator</a></strong>(double&nbsp;relativeAccuracy,
+ double&nbsp;absoluteAccuracy,
+ int&nbsp;minimalIterationCount,
+ int&nbsp;maximalIterationCount)</code>
+<div class="block">Build a midpoint integrator with given accuracies and iterations counts.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/integration/MidPointIntegrator.html#MidPointIntegrator(int,%20int)">MidPointIntegrator</a></strong>(int&nbsp;minimalIterationCount,
+ int&nbsp;maximalIterationCount)</code>
+<div class="block">Build a midpoint integrator with given iteration counts.</div>
+</td>
+</tr>
+</table>
+</li>
+</ul>
+<!-- ========== METHOD SUMMARY =========== -->
+<ul class="blockList">
+<li class="blockList"><a name="method_summary">
+<!-- -->
+</a>
+<h3>Method Summary</h3>
+<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation">
+<caption><span>Methods</span><span class="tabEnd">&nbsp;</span></caption>
+<tr>
+<th class="colFirst" scope="col">Modifier and Type</th>
+<th class="colLast" scope="col">Method and Description</th>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>protected double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/integration/MidPointIntegrator.html#doIntegrate()">doIntegrate</a></strong>()</code>
+<div class="block">Method for implementing actual integration algorithms in derived
+ classes.</div>
+</td>
+</tr>
+</table>
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+<code><a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#computeObjectiveValue(double)">computeObjectiveValue</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#getAbsoluteAccuracy()">getAbsoluteAccuracy</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#getEvaluations()">getEvaluations</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#getIterations()">getIterations</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#getMax()">getMax</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#getMaximalIterationCount()">getMaximalIterationCount</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#getMin()">getMin</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#getMinimalIterationCount()">getMinimalIterationCount</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#getRelativeAccuracy()">getRelativeAccuracy</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#incrementCount()">incrementCount</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#integrate(int,%20org.apache.commons.math3.analysis.UnivariateFunction,%20double,%20double)">integrate</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#setup(int,%20org.apache.commons.math3.analysis.UnivariateFunction,%20double,%20double)">setup</a></code></li>
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+<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long,%20int)" title="class or interface in java.lang">wait</a></code></li>
+</ul>
+</li>
+</ul>
+</li>
+</ul>
+</div>
+<div class="details">
+<ul class="blockList">
+<li class="blockList">
+<!-- ============ FIELD DETAIL =========== -->
+<ul class="blockList">
+<li class="blockList"><a name="field_detail">
+<!-- -->
+</a>
+<h3>Field Detail</h3>
+<a name="MIDPOINT_MAX_ITERATIONS_COUNT">
+<!-- -->
+</a>
+<ul class="blockListLast">
+<li class="blockList">
+<h4>MIDPOINT_MAX_ITERATIONS_COUNT</h4>
+<pre>public static final&nbsp;int MIDPOINT_MAX_ITERATIONS_COUNT</pre>
+<div class="block">Maximum number of iterations for midpoint.</div>
+<dl><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../constant-values.html#org.apache.commons.math3.analysis.integration.MidPointIntegrator.MIDPOINT_MAX_ITERATIONS_COUNT">Constant Field Values</a></dd></dl>
+</li>
+</ul>
+</li>
+</ul>
+<!-- ========= CONSTRUCTOR DETAIL ======== -->
+<ul class="blockList">
+<li class="blockList"><a name="constructor_detail">
+<!-- -->
+</a>
+<h3>Constructor Detail</h3>
+<a name="MidPointIntegrator(double, double, int, int)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>MidPointIntegrator</h4>
+<pre>public&nbsp;MidPointIntegrator(double&nbsp;relativeAccuracy,
+ double&nbsp;absoluteAccuracy,
+ int&nbsp;minimalIterationCount,
+ int&nbsp;maximalIterationCount)
+ throws <a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a>,
+ <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a>,
+ <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></pre>
+<div class="block">Build a midpoint integrator with given accuracies and iterations counts.</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>relativeAccuracy</code> - relative accuracy of the result</dd><dd><code>absoluteAccuracy</code> - absolute accuracy of the result</dd><dd><code>minimalIterationCount</code> - minimum number of iterations</dd><dd><code>maximalIterationCount</code> - maximum number of iterations
+ (must be less than or equal to <a href="../../../../../../org/apache/commons/math3/analysis/integration/MidPointIntegrator.html#MIDPOINT_MAX_ITERATIONS_COUNT"><code>MIDPOINT_MAX_ITERATIONS_COUNT</code></a></dd>
+<dt><span class="strong">Throws:</span></dt>
+<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code> - if minimal number of iterations
+ is not strictly positive</dd>
+<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code> - if maximal number of iterations
+ is lesser than or equal to the minimal number of iterations</dd>
+<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></code> - if maximal number of iterations
+ is greater than <a href="../../../../../../org/apache/commons/math3/analysis/integration/MidPointIntegrator.html#MIDPOINT_MAX_ITERATIONS_COUNT"><code>MIDPOINT_MAX_ITERATIONS_COUNT</code></a></dd></dl>
+</li>
+</ul>
+<a name="MidPointIntegrator(int, int)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>MidPointIntegrator</h4>
+<pre>public&nbsp;MidPointIntegrator(int&nbsp;minimalIterationCount,
+ int&nbsp;maximalIterationCount)
+ throws <a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a>,
+ <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a>,
+ <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></pre>
+<div class="block">Build a midpoint integrator with given iteration counts.</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>minimalIterationCount</code> - minimum number of iterations</dd><dd><code>maximalIterationCount</code> - maximum number of iterations
+ (must be less than or equal to <a href="../../../../../../org/apache/commons/math3/analysis/integration/MidPointIntegrator.html#MIDPOINT_MAX_ITERATIONS_COUNT"><code>MIDPOINT_MAX_ITERATIONS_COUNT</code></a></dd>
+<dt><span class="strong">Throws:</span></dt>
+<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code> - if minimal number of iterations
+ is not strictly positive</dd>
+<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code> - if maximal number of iterations
+ is lesser than or equal to the minimal number of iterations</dd>
+<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></code> - if maximal number of iterations
+ is greater than <a href="../../../../../../org/apache/commons/math3/analysis/integration/MidPointIntegrator.html#MIDPOINT_MAX_ITERATIONS_COUNT"><code>MIDPOINT_MAX_ITERATIONS_COUNT</code></a></dd></dl>
+</li>
+</ul>
+<a name="MidPointIntegrator()">
+<!-- -->
+</a>
+<ul class="blockListLast">
+<li class="blockList">
+<h4>MidPointIntegrator</h4>
+<pre>public&nbsp;MidPointIntegrator()</pre>
+<div class="block">Construct a midpoint integrator with default settings.
+ (max iteration count set to <a href="../../../../../../org/apache/commons/math3/analysis/integration/MidPointIntegrator.html#MIDPOINT_MAX_ITERATIONS_COUNT"><code>MIDPOINT_MAX_ITERATIONS_COUNT</code></a>)</div>
+</li>
+</ul>
+</li>
+</ul>
+<!-- ============ METHOD DETAIL ========== -->
+<ul class="blockList">
+<li class="blockList"><a name="method_detail">
+<!-- -->
+</a>
+<h3>Method Detail</h3>
+<a name="doIntegrate()">
+<!-- -->
+</a>
+<ul class="blockListLast">
+<li class="blockList">
+<h4>doIntegrate</h4>
+<pre>protected&nbsp;double&nbsp;doIntegrate()
+ throws <a href="../../../../../../org/apache/commons/math3/exception/MathIllegalArgumentException.html" title="class in org.apache.commons.math3.exception">MathIllegalArgumentException</a>,
+ <a href="../../../../../../org/apache/commons/math3/exception/TooManyEvaluationsException.html" title="class in org.apache.commons.math3.exception">TooManyEvaluationsException</a>,
+ <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
+<div class="block">Method for implementing actual integration algorithms in derived
+ classes.</div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#doIntegrate()">doIntegrate</a></code>&nbsp;in class&nbsp;<code><a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html" title="class in org.apache.commons.math3.analysis.integration">BaseAbstractUnivariateIntegrator</a></code></dd>
+<dt><span class="strong">Returns:</span></dt><dd>the root.</dd>
+<dt><span class="strong">Throws:</span></dt>
+<dd><code><a href="../../../../../../org/apache/commons/math3/exception/TooManyEvaluationsException.html" title="class in org.apache.commons.math3.exception">TooManyEvaluationsException</a></code> - if the maximal number of evaluations
+ is exceeded.</dd>
+<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code> - if the maximum iteration count is exceeded
+ or the integrator detects convergence problems otherwise</dd>
+<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MathIllegalArgumentException.html" title="class in org.apache.commons.math3.exception">MathIllegalArgumentException</a></code></dd></dl>
+</li>
+</ul>
+</li>
+</ul>
+</li>
+</ul>
+</div>
+</div>
+<!-- ========= END OF CLASS DATA ========= -->
+<!-- ======= START OF BOTTOM NAVBAR ====== -->
+<div class="bottomNav"><a name="navbar_bottom">
+<!-- -->
+</a><a href="#skip-navbar_bottom" title="Skip navigation links"></a><a name="navbar_bottom_firstrow">
+<!-- -->
+</a>
+<ul class="navList" title="Navigation">
+<li><a href="../../../../../../overview-summary.html">Overview</a></li>
+<li><a href="package-summary.html">Package</a></li>
+<li class="navBarCell1Rev">Class</li>
+<li><a href="class-use/MidPointIntegrator.html">Use</a></li>
+<li><a href="package-tree.html">Tree</a></li>
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