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| <div class="subTitle">org.apache.commons.math3.ode.nonstiff</div> |
| <h2 title="Class AdaptiveStepsizeIntegrator" class="title">Class AdaptiveStepsizeIntegrator</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/ode/AbstractIntegrator.html" title="class in org.apache.commons.math3.ode">org.apache.commons.math3.ode.AbstractIntegrator</a></li> |
| <li> |
| <ul class="inheritance"> |
| <li>org.apache.commons.math3.ode.nonstiff.AdaptiveStepsizeIntegrator</li> |
| </ul> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| <div class="description"> |
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| <dl> |
| <dt>All Implemented Interfaces:</dt> |
| <dd><a href="../../../../../../org/apache/commons/math3/ode/FirstOrderIntegrator.html" title="interface in org.apache.commons.math3.ode">FirstOrderIntegrator</a>, <a href="../../../../../../org/apache/commons/math3/ode/ODEIntegrator.html" title="interface in org.apache.commons.math3.ode">ODEIntegrator</a></dd> |
| </dl> |
| <dl> |
| <dt>Direct Known Subclasses:</dt> |
| <dd><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">EmbeddedRungeKuttaIntegrator</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/GraggBulirschStoerIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">GraggBulirschStoerIntegrator</a>, <a href="../../../../../../org/apache/commons/math3/ode/MultistepIntegrator.html" title="class in org.apache.commons.math3.ode">MultistepIntegrator</a></dd> |
| </dl> |
| <hr> |
| <br> |
| <pre>public abstract class <span class="strong">AdaptiveStepsizeIntegrator</span> |
| extends <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html" title="class in org.apache.commons.math3.ode">AbstractIntegrator</a></pre> |
| <div class="block">This abstract class holds the common part of all adaptive |
| stepsize integrators for Ordinary Differential Equations. |
| |
| <p>These algorithms perform integration with stepsize control, which |
| means the user does not specify the integration step but rather a |
| tolerance on error. The error threshold is computed as |
| <pre> |
| threshold_i = absTol_i + relTol_i * max (abs (ym), abs (ym+1)) |
| </pre> |
| where absTol_i is the absolute tolerance for component i of the |
| state vector and relTol_i is the relative tolerance for the same |
| component. The user can also use only two scalar values absTol and |
| relTol which will be used for all components. |
| </p> |
| <p> |
| If the Ordinary Differential Equations is an <a href="../../../../../../org/apache/commons/math3/ode/ExpandableStatefulODE.html" title="class in org.apache.commons.math3.ode"><code>extended ODE</code></a> rather than a <a href="../../../../../../org/apache/commons/math3/ode/FirstOrderDifferentialEquations.html" title="interface in org.apache.commons.math3.ode"><code>basic ODE</code></a>, then |
| <em>only</em> the <a href="../../../../../../org/apache/commons/math3/ode/ExpandableStatefulODE.html#getPrimaryState()"><code>primary part</code></a> |
| of the state vector is used for stepsize control, not the complete state vector. |
| </p> |
| |
| <p>If the estimated error for ym+1 is such that |
| <pre> |
| sqrt((sum (errEst_i / threshold_i)^2 ) / n) < 1 |
| </pre> |
| |
| (where n is the main set dimension) then the step is accepted, |
| otherwise the step is rejected and a new attempt is made with a new |
| stepsize.</p></div> |
| <dl><dt><span class="strong">Since:</span></dt> |
| <dd>1.2</dd> |
| <dt><span class="strong">Version:</span></dt> |
| <dd>$Id: AdaptiveStepsizeIntegrator.java 1416643 2012-12-03 19:37:14Z tn $</dd></dl> |
| </li> |
| </ul> |
| </div> |
| <div class="summary"> |
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| <!-- =========== FIELD SUMMARY =========== --> |
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| <h3>Field Summary</h3> |
| <table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Field Summary table, listing fields, and an explanation"> |
| <caption><span>Fields</span><span class="tabEnd"> </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>protected int</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#mainSetDimension">mainSetDimension</a></strong></code> |
| <div class="block">Main set dimension.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>protected double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#scalAbsoluteTolerance">scalAbsoluteTolerance</a></strong></code> |
| <div class="block">Allowed absolute scalar error.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>protected double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#scalRelativeTolerance">scalRelativeTolerance</a></strong></code> |
| <div class="block">Allowed relative scalar error.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>protected double[]</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#vecAbsoluteTolerance">vecAbsoluteTolerance</a></strong></code> |
| <div class="block">Allowed absolute vectorial error.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>protected double[]</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#vecRelativeTolerance">vecRelativeTolerance</a></strong></code> |
| <div class="block">Allowed relative vectorial error.</div> |
| </td> |
| </tr> |
| </table> |
| <ul class="blockList"> |
| <li class="blockList"><a name="fields_inherited_from_class_org.apache.commons.math3.ode.AbstractIntegrator"> |
| <!-- --> |
| </a> |
| <h3>Fields inherited from class org.apache.commons.math3.ode.<a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html" title="class in org.apache.commons.math3.ode">AbstractIntegrator</a></h3> |
| <code><a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#isLastStep">isLastStep</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#resetOccurred">resetOccurred</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#stepHandlers">stepHandlers</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#stepSize">stepSize</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#stepStart">stepStart</a></code></li> |
| </ul> |
| </li> |
| </ul> |
| <!-- ======== CONSTRUCTOR SUMMARY ======== --> |
| <ul class="blockList"> |
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| <h3>Constructor Summary</h3> |
| <table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Constructor Summary table, listing constructors, and an explanation"> |
| <caption><span>Constructors</span><span class="tabEnd"> </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/ode/nonstiff/AdaptiveStepsizeIntegrator.html#AdaptiveStepsizeIntegrator(java.lang.String, double, double, double[], double[])">AdaptiveStepsizeIntegrator</a></strong>(<a href="http://docs.oracle.com/javase/6/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> name, |
| double minStep, |
| double maxStep, |
| double[] vecAbsoluteTolerance, |
| double[] vecRelativeTolerance)</code> |
| <div class="block">Build an integrator with the given stepsize bounds.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#AdaptiveStepsizeIntegrator(java.lang.String, double, double, double, double)">AdaptiveStepsizeIntegrator</a></strong>(<a href="http://docs.oracle.com/javase/6/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> name, |
| double minStep, |
| double maxStep, |
| double scalAbsoluteTolerance, |
| double scalRelativeTolerance)</code> |
| <div class="block">Build an integrator with the given stepsize bounds.</div> |
| </td> |
| </tr> |
| </table> |
| </li> |
| </ul> |
| <!-- ========== METHOD SUMMARY =========== --> |
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| <h3>Method Summary</h3> |
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| <caption><span>Methods</span><span class="tabEnd"> </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/ode/nonstiff/AdaptiveStepsizeIntegrator.html#filterStep(double, boolean, boolean)">filterStep</a></strong>(double h, |
| boolean forward, |
| boolean acceptSmall)</code> |
| <div class="block">Filter the integration step.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#getCurrentStepStart()">getCurrentStepStart</a></strong>()</code> |
| <div class="block">Get the current value of the step start time t<sub>i</sub>.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#getMaxStep()">getMaxStep</a></strong>()</code> |
| <div class="block">Get the maximal step.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#getMinStep()">getMinStep</a></strong>()</code> |
| <div class="block">Get the minimal step.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#initializeStep(boolean, int, double[], double, double[], double[], double[], double[])">initializeStep</a></strong>(boolean forward, |
| int order, |
| double[] scale, |
| double t0, |
| double[] y0, |
| double[] yDot0, |
| double[] y1, |
| double[] yDot1)</code> |
| <div class="block">Initialize the integration step.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>abstract void</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#integrate(org.apache.commons.math3.ode.ExpandableStatefulODE, double)">integrate</a></strong>(<a href="../../../../../../org/apache/commons/math3/ode/ExpandableStatefulODE.html" title="class in org.apache.commons.math3.ode">ExpandableStatefulODE</a> equations, |
| double t)</code> |
| <div class="block">Integrate a set of differential equations up to the given time.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>protected void</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#resetInternalState()">resetInternalState</a></strong>()</code> |
| <div class="block">Reset internal state to dummy values.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>protected void</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#sanityChecks(org.apache.commons.math3.ode.ExpandableStatefulODE, double)">sanityChecks</a></strong>(<a href="../../../../../../org/apache/commons/math3/ode/ExpandableStatefulODE.html" title="class in org.apache.commons.math3.ode">ExpandableStatefulODE</a> equations, |
| double t)</code> |
| <div class="block">Check the integration span.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>void</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#setInitialStepSize(double)">setInitialStepSize</a></strong>(double initialStepSize)</code> |
| <div class="block">Set the initial step size.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>void</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#setStepSizeControl(double, double, double[], double[])">setStepSizeControl</a></strong>(double minimalStep, |
| double maximalStep, |
| double[] absoluteTolerance, |
| double[] relativeTolerance)</code> |
| <div class="block">Set the adaptive step size control parameters.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>void</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#setStepSizeControl(double, double, double, double)">setStepSizeControl</a></strong>(double minimalStep, |
| double maximalStep, |
| double absoluteTolerance, |
| double relativeTolerance)</code> |
| <div class="block">Set the adaptive step size control parameters.</div> |
| </td> |
| </tr> |
| </table> |
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| <li class="blockList"><a name="methods_inherited_from_class_org.apache.commons.math3.ode.AbstractIntegrator"> |
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| </a> |
| <h3>Methods inherited from class org.apache.commons.math3.ode.<a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html" title="class in org.apache.commons.math3.ode">AbstractIntegrator</a></h3> |
| <code><a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#acceptStep(org.apache.commons.math3.ode.sampling.AbstractStepInterpolator, double[], double[], double)">acceptStep</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#addEventHandler(org.apache.commons.math3.ode.events.EventHandler, double, double, int)">addEventHandler</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#addEventHandler(org.apache.commons.math3.ode.events.EventHandler, double, double, int, org.apache.commons.math3.analysis.solvers.UnivariateSolver)">addEventHandler</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#addStepHandler(org.apache.commons.math3.ode.sampling.StepHandler)">addStepHandler</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#clearEventHandlers()">clearEventHandlers</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#clearStepHandlers()">clearStepHandlers</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#computeDerivatives(double, double[], double[])">computeDerivatives</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#getCurrentSignedStepsize()">getCurrentSignedStepsize</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#getEvaluations()">getEvaluations</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#getEvaluationsCounter()">getEvaluationsCounter</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#getEventHandlers()">getEventHandlers</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#getExpandable()">getExpandable</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#getMaxEvaluations()">getMaxEvaluations</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#getName()">getName</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#getStepHandlers()">getStepHandlers</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#initIntegration(double, double[], double)">initIntegration</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#integrate(org.apache.commons.math3.ode.FirstOrderDifferentialEquations, double, double[], double, double[])">integrate</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#setEquations(org.apache.commons.math3.ode.ExpandableStatefulODE)">setEquations</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#setMaxEvaluations(int)">setMaxEvaluations</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#setStateInitialized(boolean)">setStateInitialized</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> |
| </ul> |
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| <h4>scalAbsoluteTolerance</h4> |
| <pre>protected double scalAbsoluteTolerance</pre> |
| <div class="block">Allowed absolute scalar error.</div> |
| </li> |
| </ul> |
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| <h4>scalRelativeTolerance</h4> |
| <pre>protected double scalRelativeTolerance</pre> |
| <div class="block">Allowed relative scalar error.</div> |
| </li> |
| </ul> |
| <a name="vecAbsoluteTolerance"> |
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| </a> |
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| <h4>vecAbsoluteTolerance</h4> |
| <pre>protected double[] vecAbsoluteTolerance</pre> |
| <div class="block">Allowed absolute vectorial error.</div> |
| </li> |
| </ul> |
| <a name="vecRelativeTolerance"> |
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| </a> |
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| <h4>vecRelativeTolerance</h4> |
| <pre>protected double[] vecRelativeTolerance</pre> |
| <div class="block">Allowed relative vectorial error.</div> |
| </li> |
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| <a name="mainSetDimension"> |
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| </a> |
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| <h4>mainSetDimension</h4> |
| <pre>protected int mainSetDimension</pre> |
| <div class="block">Main set dimension.</div> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| <!-- ========= CONSTRUCTOR DETAIL ======== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="constructor_detail"> |
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| </a> |
| <h3>Constructor Detail</h3> |
| <a name="AdaptiveStepsizeIntegrator(java.lang.String, double, double, double, double)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>AdaptiveStepsizeIntegrator</h4> |
| <pre>public AdaptiveStepsizeIntegrator(<a href="http://docs.oracle.com/javase/6/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> name, |
| double minStep, |
| double maxStep, |
| double scalAbsoluteTolerance, |
| double scalRelativeTolerance)</pre> |
| <div class="block">Build an integrator with the given stepsize bounds. |
| The default step handler does nothing.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>name</code> - name of the method</dd><dd><code>minStep</code> - minimal step (sign is irrelevant, regardless of |
| integration direction, forward or backward), the last step can |
| be smaller than this</dd><dd><code>maxStep</code> - maximal step (sign is irrelevant, regardless of |
| integration direction, forward or backward), the last step can |
| be smaller than this</dd><dd><code>scalAbsoluteTolerance</code> - allowed absolute error</dd><dd><code>scalRelativeTolerance</code> - allowed relative error</dd></dl> |
| </li> |
| </ul> |
| <a name="AdaptiveStepsizeIntegrator(java.lang.String, double, double, double[], double[])"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
| <li class="blockList"> |
| <h4>AdaptiveStepsizeIntegrator</h4> |
| <pre>public AdaptiveStepsizeIntegrator(<a href="http://docs.oracle.com/javase/6/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> name, |
| double minStep, |
| double maxStep, |
| double[] vecAbsoluteTolerance, |
| double[] vecRelativeTolerance)</pre> |
| <div class="block">Build an integrator with the given stepsize bounds. |
| The default step handler does nothing.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>name</code> - name of the method</dd><dd><code>minStep</code> - minimal step (sign is irrelevant, regardless of |
| integration direction, forward or backward), the last step can |
| be smaller than this</dd><dd><code>maxStep</code> - maximal step (sign is irrelevant, regardless of |
| integration direction, forward or backward), the last step can |
| be smaller than this</dd><dd><code>vecAbsoluteTolerance</code> - allowed absolute error</dd><dd><code>vecRelativeTolerance</code> - allowed relative error</dd></dl> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| <!-- ============ METHOD DETAIL ========== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="method_detail"> |
| <!-- --> |
| </a> |
| <h3>Method Detail</h3> |
| <a name="setStepSizeControl(double, double, double, double)"> |
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| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>setStepSizeControl</h4> |
| <pre>public void setStepSizeControl(double minimalStep, |
| double maximalStep, |
| double absoluteTolerance, |
| double relativeTolerance)</pre> |
| <div class="block">Set the adaptive step size control parameters. |
| <p> |
| A side effect of this method is to also reset the initial |
| step so it will be automatically computed by the integrator |
| if <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#setInitialStepSize(double)"><code>setInitialStepSize</code></a> |
| is not called by the user. |
| </p></div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>minimalStep</code> - minimal step (must be positive even for backward |
| integration), the last step can be smaller than this</dd><dd><code>maximalStep</code> - maximal step (must be positive even for backward |
| integration)</dd><dd><code>absoluteTolerance</code> - allowed absolute error</dd><dd><code>relativeTolerance</code> - allowed relative error</dd></dl> |
| </li> |
| </ul> |
| <a name="setStepSizeControl(double, double, double[], double[])"> |
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| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>setStepSizeControl</h4> |
| <pre>public void setStepSizeControl(double minimalStep, |
| double maximalStep, |
| double[] absoluteTolerance, |
| double[] relativeTolerance)</pre> |
| <div class="block">Set the adaptive step size control parameters. |
| <p> |
| A side effect of this method is to also reset the initial |
| step so it will be automatically computed by the integrator |
| if <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#setInitialStepSize(double)"><code>setInitialStepSize</code></a> |
| is not called by the user. |
| </p></div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>minimalStep</code> - minimal step (must be positive even for backward |
| integration), the last step can be smaller than this</dd><dd><code>maximalStep</code> - maximal step (must be positive even for backward |
| integration)</dd><dd><code>absoluteTolerance</code> - allowed absolute error</dd><dd><code>relativeTolerance</code> - allowed relative error</dd></dl> |
| </li> |
| </ul> |
| <a name="setInitialStepSize(double)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>setInitialStepSize</h4> |
| <pre>public void setInitialStepSize(double initialStepSize)</pre> |
| <div class="block">Set the initial step size. |
| <p>This method allows the user to specify an initial positive |
| step size instead of letting the integrator guess it by |
| itself. If this method is not called before integration is |
| started, the initial step size will be estimated by the |
| integrator.</p></div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>initialStepSize</code> - initial step size to use (must be positive even |
| for backward integration ; providing a negative value or a value |
| outside of the min/max step interval will lead the integrator to |
| ignore the value and compute the initial step size by itself)</dd></dl> |
| </li> |
| </ul> |
| <a name="sanityChecks(org.apache.commons.math3.ode.ExpandableStatefulODE, double)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>sanityChecks</h4> |
| <pre>protected void sanityChecks(<a href="../../../../../../org/apache/commons/math3/ode/ExpandableStatefulODE.html" title="class in org.apache.commons.math3.ode">ExpandableStatefulODE</a> equations, |
| double t) |
| throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>, |
| <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></pre> |
| <div class="block">Check the integration span.</div> |
| <dl> |
| <dt><strong>Overrides:</strong></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#sanityChecks(org.apache.commons.math3.ode.ExpandableStatefulODE, double)">sanityChecks</a></code> in class <code><a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html" title="class in org.apache.commons.math3.ode">AbstractIntegrator</a></code></dd> |
| <dt><span class="strong">Parameters:</span></dt><dd><code>equations</code> - set of differential equations</dd><dd><code>t</code> - target time for the integration</dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if adaptive step size integrators |
| tolerance arrays dimensions are not compatible with equations settings</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code> - if integration span is too small</dd></dl> |
| </li> |
| </ul> |
| <a name="initializeStep(boolean, int, double[], double, double[], double[], double[], double[])"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>initializeStep</h4> |
| <pre>public double initializeStep(boolean forward, |
| int order, |
| double[] scale, |
| double t0, |
| double[] y0, |
| double[] yDot0, |
| double[] y1, |
| double[] yDot1) |
| throws <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a>, |
| <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre> |
| <div class="block">Initialize the integration step.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>forward</code> - forward integration indicator</dd><dd><code>order</code> - order of the method</dd><dd><code>scale</code> - scaling vector for the state vector (can be shorter than state vector)</dd><dd><code>t0</code> - start time</dd><dd><code>y0</code> - state vector at t0</dd><dd><code>yDot0</code> - first time derivative of y0</dd><dd><code>y1</code> - work array for a state vector</dd><dd><code>yDot1</code> - work array for the first time derivative of y1</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>first integration step</dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code> - if the number of functions evaluations is exceeded</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if arrays dimensions do not match equations settings</dd></dl> |
| </li> |
| </ul> |
| <a name="filterStep(double, boolean, boolean)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>filterStep</h4> |
| <pre>protected double filterStep(double h, |
| boolean forward, |
| boolean acceptSmall) |
| throws <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></pre> |
| <div class="block">Filter the integration step.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>h</code> - signed step</dd><dd><code>forward</code> - forward integration indicator</dd><dd><code>acceptSmall</code> - if true, steps smaller than the minimal value |
| are silently increased up to this value, if false such small |
| steps generate an exception</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>a bounded integration step (h if no bound is reach, or a bounded value)</dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code> - if the step is too small and acceptSmall is false</dd></dl> |
| </li> |
| </ul> |
| <a name="integrate(org.apache.commons.math3.ode.ExpandableStatefulODE, double)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>integrate</h4> |
| <pre>public abstract void integrate(<a href="../../../../../../org/apache/commons/math3/ode/ExpandableStatefulODE.html" title="class in org.apache.commons.math3.ode">ExpandableStatefulODE</a> equations, |
| double t) |
| throws <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/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>, |
| <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a>, |
| <a href="../../../../../../org/apache/commons/math3/exception/NoBracketingException.html" title="class in org.apache.commons.math3.exception">NoBracketingException</a></pre> |
| <div class="block">Integrate a set of differential equations up to the given time. |
| <p>This method solves an Initial Value Problem (IVP).</p> |
| <p>The set of differential equations is composed of a main set, which |
| can be extended by some sets of secondary equations. The set of |
| equations must be already set up with initial time and partial states. |
| At integration completion, the final time and partial states will be |
| available in the same object.</p> |
| <p>Since this method stores some internal state variables made |
| available in its public interface during integration (<a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#getCurrentSignedStepsize()"><code>AbstractIntegrator.getCurrentSignedStepsize()</code></a>), it is <em>not</em> thread-safe.</p></div> |
| <dl> |
| <dt><strong>Specified by:</strong></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#integrate(org.apache.commons.math3.ode.ExpandableStatefulODE, double)">integrate</a></code> in class <code><a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html" title="class in org.apache.commons.math3.ode">AbstractIntegrator</a></code></dd> |
| <dt><span class="strong">Parameters:</span></dt><dd><code>equations</code> - complete set of differential equations to integrate</dd><dd><code>t</code> - target time for the integration |
| (can be set to a value smaller than <code>t0</code> for backward integration)</dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code> - if integration step is too small</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if the dimension of the complete state does not |
| match the complete equations sets dimension</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 number of functions evaluations is exceeded</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NoBracketingException.html" title="class in org.apache.commons.math3.exception">NoBracketingException</a></code> - if the location of an event cannot be bracketed</dd></dl> |
| </li> |
| </ul> |
| <a name="getCurrentStepStart()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>getCurrentStepStart</h4> |
| <pre>public double getCurrentStepStart()</pre> |
| <div class="block">Get the current value of the step start time t<sub>i</sub>. |
| <p>This method can be called during integration (typically by |
| the object implementing the <a href="../../../../../../org/apache/commons/math3/ode/FirstOrderDifferentialEquations.html" title="interface in org.apache.commons.math3.ode"><code>differential equations</code></a> problem) if the value of the current step that |
| is attempted is needed.</p> |
| <p>The result is undefined if the method is called outside of |
| calls to <code>integrate</code>.</p></div> |
| <dl> |
| <dt><strong>Specified by:</strong></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/ode/ODEIntegrator.html#getCurrentStepStart()">getCurrentStepStart</a></code> in interface <code><a href="../../../../../../org/apache/commons/math3/ode/ODEIntegrator.html" title="interface in org.apache.commons.math3.ode">ODEIntegrator</a></code></dd> |
| <dt><strong>Overrides:</strong></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#getCurrentStepStart()">getCurrentStepStart</a></code> in class <code><a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html" title="class in org.apache.commons.math3.ode">AbstractIntegrator</a></code></dd> |
| <dt><span class="strong">Returns:</span></dt><dd>current value of the step start time t<sub>i</sub></dd></dl> |
| </li> |
| </ul> |
| <a name="resetInternalState()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>resetInternalState</h4> |
| <pre>protected void resetInternalState()</pre> |
| <div class="block">Reset internal state to dummy values.</div> |
| </li> |
| </ul> |
| <a name="getMinStep()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>getMinStep</h4> |
| <pre>public double getMinStep()</pre> |
| <div class="block">Get the minimal step.</div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>minimal step</dd></dl> |
| </li> |
| </ul> |
| <a name="getMaxStep()"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
| <li class="blockList"> |
| <h4>getMaxStep</h4> |
| <pre>public double getMaxStep()</pre> |
| <div class="block">Get the maximal step.</div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>maximal step</dd></dl> |
| </li> |
| </ul> |
| </li> |
| </ul> |
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