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| <div class="subTitle">org.apache.commons.math3.analysis.integration</div> |
| <h2 title="Class RombergIntegrator" class="title">Class RombergIntegrator</h2> |
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| <li><a href="http://docs.oracle.com/javase/6/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.RombergIntegrator</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">RombergIntegrator</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://mathworld.wolfram.com/RombergIntegration.html"> |
| Romberg Algorithm</a> for integration of real univariate functions. For |
| reference, see <b>Introduction to Numerical Analysis</b>, ISBN 038795452X, |
| chapter 3. |
| <p> |
| Romberg integration employs k successive refinements of the trapezoid |
| rule to remove error terms less than order O(N^(-2k)). Simpson's rule |
| is a special case of k = 2.</p></div> |
| <dl><dt><span class="strong">Since:</span></dt> |
| <dd>1.2</dd> |
| <dt><span class="strong">Version:</span></dt> |
| <dd>$Id: RombergIntegrator.java 1364387 2012-07-22 18:14:11Z tn $</dd></dl> |
| </li> |
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| <caption><span>Fields</span><span class="tabEnd"> </span></caption> |
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| <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/RombergIntegrator.html#ROMBERG_MAX_ITERATIONS_COUNT">ROMBERG_MAX_ITERATIONS_COUNT</a></strong></code> |
| <div class="block">Maximal number of iterations for Romberg.</div> |
| </td> |
| </tr> |
| </table> |
| <ul class="blockList"> |
| <li class="blockList"><a name="fields_inherited_from_class_org.apache.commons.math3.analysis.integration.BaseAbstractUnivariateIntegrator"> |
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| </a> |
| <h3>Fields inherited from class org.apache.commons.math3.analysis.integration.<a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html" title="class in org.apache.commons.math3.analysis.integration">BaseAbstractUnivariateIntegrator</a></h3> |
| <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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| <th class="colOne" scope="col">Constructor and Description</th> |
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| <td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/integration/RombergIntegrator.html#RombergIntegrator()">RombergIntegrator</a></strong>()</code> |
| <div class="block">Construct a Romberg integrator with default settings |
| (max iteration count set to <a href="../../../../../../org/apache/commons/math3/analysis/integration/RombergIntegrator.html#ROMBERG_MAX_ITERATIONS_COUNT"><code>ROMBERG_MAX_ITERATIONS_COUNT</code></a>)</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/integration/RombergIntegrator.html#RombergIntegrator(double, double, int, int)">RombergIntegrator</a></strong>(double relativeAccuracy, |
| double absoluteAccuracy, |
| int minimalIterationCount, |
| int maximalIterationCount)</code> |
| <div class="block">Build a Romberg 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/RombergIntegrator.html#RombergIntegrator(int, int)">RombergIntegrator</a></strong>(int minimalIterationCount, |
| int maximalIterationCount)</code> |
| <div class="block">Build a Romberg integrator with given iteration counts.</div> |
| </td> |
| </tr> |
| </table> |
| </li> |
| </ul> |
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| <td class="colFirst"><code>protected double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/integration/RombergIntegrator.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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| <li class="blockList"><a name="methods_inherited_from_class_org.apache.commons.math3.analysis.integration.BaseAbstractUnivariateIntegrator"> |
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| </a> |
| <h3>Methods inherited from class org.apache.commons.math3.analysis.integration.<a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html" title="class in org.apache.commons.math3.analysis.integration">BaseAbstractUnivariateIntegrator</a></h3> |
| <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#integrate(int, org.apache.commons.math3.analysis.UnivariateFunction, double, double)">integrate</a>, <a href="../../../../../../org/apache/commons/math3/analysis/integration/BaseAbstractUnivariateIntegrator.html#setup(int, org.apache.commons.math3.analysis.UnivariateFunction, double, double)">setup</a></code></li> |
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| <h3>Methods inherited from class java.lang.<a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></h3> |
| <code><a href="http://docs.oracle.com/javase/6/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/6/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/6/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/6/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/6/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/6/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/6/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/6/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/6/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/6/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/6/docs/api/java/lang/Object.html?is-external=true#wait(long, int)" title="class or interface in java.lang">wait</a></code></li> |
| </ul> |
| </li> |
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| <h3>Field Detail</h3> |
| <a name="ROMBERG_MAX_ITERATIONS_COUNT"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
| <li class="blockList"> |
| <h4>ROMBERG_MAX_ITERATIONS_COUNT</h4> |
| <pre>public static final int ROMBERG_MAX_ITERATIONS_COUNT</pre> |
| <div class="block">Maximal number of iterations for Romberg.</div> |
| <dl><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../constant-values.html#org.apache.commons.math3.analysis.integration.RombergIntegrator.ROMBERG_MAX_ITERATIONS_COUNT">Constant Field Values</a></dd></dl> |
| </li> |
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| <!-- --> |
| </a> |
| <h3>Constructor Detail</h3> |
| <a name="RombergIntegrator(double, double, int, int)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>RombergIntegrator</h4> |
| <pre>public RombergIntegrator(double relativeAccuracy, |
| double absoluteAccuracy, |
| int minimalIterationCount, |
| int 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 Romberg 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/RombergIntegrator.html#ROMBERG_MAX_ITERATIONS_COUNT"><code>ROMBERG_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/RombergIntegrator.html#ROMBERG_MAX_ITERATIONS_COUNT"><code>ROMBERG_MAX_ITERATIONS_COUNT</code></a></dd></dl> |
| </li> |
| </ul> |
| <a name="RombergIntegrator(int, int)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>RombergIntegrator</h4> |
| <pre>public RombergIntegrator(int minimalIterationCount, |
| int 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 Romberg 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/RombergIntegrator.html#ROMBERG_MAX_ITERATIONS_COUNT"><code>ROMBERG_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/RombergIntegrator.html#ROMBERG_MAX_ITERATIONS_COUNT"><code>ROMBERG_MAX_ITERATIONS_COUNT</code></a></dd></dl> |
| </li> |
| </ul> |
| <a name="RombergIntegrator()"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
| <li class="blockList"> |
| <h4>RombergIntegrator</h4> |
| <pre>public RombergIntegrator()</pre> |
| <div class="block">Construct a Romberg integrator with default settings |
| (max iteration count set to <a href="../../../../../../org/apache/commons/math3/analysis/integration/RombergIntegrator.html#ROMBERG_MAX_ITERATIONS_COUNT"><code>ROMBERG_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 double doIntegrate() |
| throws <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> in class <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></dl> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| </li> |
| </ul> |
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