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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
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<div class="subTitle">org.apache.commons.math3.ode.nonstiff</div>
<h2 title="Class AdaptiveStepsizeFieldIntegrator" class="title">Class AdaptiveStepsizeFieldIntegrator&lt;T extends <a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;T&gt;&gt;</h2>
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<ul class="inheritance">
<li><a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html" title="class in org.apache.commons.math3.ode">org.apache.commons.math3.ode.AbstractFieldIntegrator</a>&lt;T&gt;</li>
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<ul class="inheritance">
<li>org.apache.commons.math3.ode.nonstiff.AdaptiveStepsizeFieldIntegrator&lt;T&gt;</li>
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<dl><dt><span class="strong">Type Parameters:</span></dt><dd><code>T</code> - the type of the field elements</dd></dl>
<dl>
<dt>All Implemented Interfaces:</dt>
<dd><a href="../../../../../../org/apache/commons/math3/ode/FirstOrderFieldIntegrator.html" title="interface in org.apache.commons.math3.ode">FirstOrderFieldIntegrator</a>&lt;T&gt;</dd>
</dl>
<dl>
<dt>Direct Known Subclasses:</dt>
<dd><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaFieldIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">EmbeddedRungeKuttaFieldIntegrator</a>, <a href="../../../../../../org/apache/commons/math3/ode/MultistepFieldIntegrator.html" title="class in org.apache.commons.math3.ode">MultistepFieldIntegrator</a></dd>
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<hr>
<br>
<pre>public abstract class <span class="strong">AdaptiveStepsizeFieldIntegrator&lt;T extends <a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;T&gt;&gt;</span>
extends <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html" title="class in org.apache.commons.math3.ode">AbstractFieldIntegrator</a>&lt;T&gt;</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>
 Note that <em>only</em> the <a href="../../../../../../org/apache/commons/math3/ode/FieldODEState.html#getState()"><code>main part</code></a>
 of the state vector is used for stepsize control. The <a href="../../../../../../org/apache/commons/math3/ode/FieldODEState.html#getSecondaryState(int)"><code>secondary parts</code></a> of the state
 vector are explicitly ignored for stepsize control.
 </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>3.6</dd></dl>
</li>
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<ul class="blockList">
<li class="blockList">
<!-- =========== 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">&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>protected int</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.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/AdaptiveStepsizeFieldIntegrator.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/AdaptiveStepsizeFieldIntegrator.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/AdaptiveStepsizeFieldIntegrator.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/AdaptiveStepsizeFieldIntegrator.html#vecRelativeTolerance">vecRelativeTolerance</a></strong></code>
<div class="block">Allowed relative vectorial error.</div>
</td>
</tr>
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<h3>Constructor Summary</h3>
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<caption><span>Constructors</span><span class="tabEnd">&nbsp;</span></caption>
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<th class="colOne" scope="col">Constructor and Description</th>
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<tr class="altColor">
<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html#AdaptiveStepsizeFieldIntegrator(org.apache.commons.math3.Field,%20java.lang.String,%20double,%20double,%20double[],%20double[])">AdaptiveStepsizeFieldIntegrator</a></strong>(<a href="../../../../../../org/apache/commons/math3/Field.html" title="interface in org.apache.commons.math3">Field</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a>&gt;&nbsp;field,
                               <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;name,
                               double&nbsp;minStep,
                               double&nbsp;maxStep,
                               double[]&nbsp;vecAbsoluteTolerance,
                               double[]&nbsp;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/AdaptiveStepsizeFieldIntegrator.html#AdaptiveStepsizeFieldIntegrator(org.apache.commons.math3.Field,%20java.lang.String,%20double,%20double,%20double,%20double)">AdaptiveStepsizeFieldIntegrator</a></strong>(<a href="../../../../../../org/apache/commons/math3/Field.html" title="interface in org.apache.commons.math3">Field</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a>&gt;&nbsp;field,
                               <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;name,
                               double&nbsp;minStep,
                               double&nbsp;maxStep,
                               double&nbsp;scalAbsoluteTolerance,
                               double&nbsp;scalRelativeTolerance)</code>
<div class="block">Build an integrator with the given stepsize bounds.</div>
</td>
</tr>
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</li>
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<h3>Method Summary</h3>
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<caption><span>Methods</span><span class="tabEnd">&nbsp;</span></caption>
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<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Method and Description</th>
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<tr class="altColor">
<td class="colFirst"><code>protected <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html#filterStep(T,%20boolean,%20boolean)">filterStep</a></strong>(<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a>&nbsp;h,
          boolean&nbsp;forward,
          boolean&nbsp;acceptSmall)</code>
<div class="block">Filter the integration step.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html#getMaxStep()">getMaxStep</a></strong>()</code>
<div class="block">Get the maximal step.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html#getMinStep()">getMinStep</a></strong>()</code>
<div class="block">Get the minimal step.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html#initializeStep(boolean,%20int,%20T[],%20org.apache.commons.math3.ode.FieldODEStateAndDerivative,%20org.apache.commons.math3.ode.FieldEquationsMapper)">initializeStep</a></strong>(boolean&nbsp;forward,
              int&nbsp;order,
              <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a>[]&nbsp;scale,
              <a href="../../../../../../org/apache/commons/math3/ode/FieldODEStateAndDerivative.html" title="class in org.apache.commons.math3.ode">FieldODEStateAndDerivative</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a>&gt;&nbsp;state0,
              <a href="../../../../../../org/apache/commons/math3/ode/FieldEquationsMapper.html" title="class in org.apache.commons.math3.ode">FieldEquationsMapper</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a>&gt;&nbsp;mapper)</code>
<div class="block">Initialize the integration step.</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/AdaptiveStepsizeFieldIntegrator.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/AdaptiveStepsizeFieldIntegrator.html#sanityChecks(org.apache.commons.math3.ode.FieldODEState,%20T)">sanityChecks</a></strong>(<a href="../../../../../../org/apache/commons/math3/ode/FieldODEState.html" title="class in org.apache.commons.math3.ode">FieldODEState</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a>&gt;&nbsp;eqn,
            <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a>&nbsp;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/AdaptiveStepsizeFieldIntegrator.html#setInitialStepSize(T)">setInitialStepSize</a></strong>(<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a>&nbsp;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/AdaptiveStepsizeFieldIntegrator.html#setStepSizeControl(double,%20double,%20double[],%20double[])">setStepSizeControl</a></strong>(double&nbsp;minimalStep,
                  double&nbsp;maximalStep,
                  double[]&nbsp;absoluteTolerance,
                  double[]&nbsp;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/AdaptiveStepsizeFieldIntegrator.html#setStepSizeControl(double,%20double,%20double,%20double)">setStepSizeControl</a></strong>(double&nbsp;minimalStep,
                  double&nbsp;maximalStep,
                  double&nbsp;absoluteTolerance,
                  double&nbsp;relativeTolerance)</code>
<div class="block">Set the adaptive step size control parameters.</div>
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<h3>Methods inherited from class&nbsp;org.apache.commons.math3.ode.<a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html" title="class in org.apache.commons.math3.ode">AbstractFieldIntegrator</a></h3>
<code><a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#acceptStep(org.apache.commons.math3.ode.sampling.AbstractFieldStepInterpolator,%20T)">acceptStep</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#addEventHandler(org.apache.commons.math3.ode.events.FieldEventHandler,%20double,%20double,%20int)">addEventHandler</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#addEventHandler(org.apache.commons.math3.ode.events.FieldEventHandler,%20double,%20double,%20int,%20org.apache.commons.math3.analysis.solvers.BracketedRealFieldUnivariateSolver)">addEventHandler</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#addStepHandler(org.apache.commons.math3.ode.sampling.FieldStepHandler)">addStepHandler</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#clearEventHandlers()">clearEventHandlers</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#clearStepHandlers()">clearStepHandlers</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#computeDerivatives(T,%20T[])">computeDerivatives</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#getCurrentSignedStepsize()">getCurrentSignedStepsize</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#getCurrentStepStart()">getCurrentStepStart</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#getEquations()">getEquations</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#getEvaluations()">getEvaluations</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#getEvaluationsCounter()">getEvaluationsCounter</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#getEventHandlers()">getEventHandlers</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#getField()">getField</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#getMaxEvaluations()">getMaxEvaluations</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#getName()">getName</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#getStepHandlers()">getStepHandlers</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#getStepSize()">getStepSize</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#getStepStart()">getStepStart</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#initIntegration(org.apache.commons.math3.ode.FieldExpandableODE,%20T,%20T[],%20T)">initIntegration</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#isLastStep()">isLastStep</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#resetOccurred()">resetOccurred</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#setIsLastStep(boolean)">setIsLastStep</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#setMaxEvaluations(int)">setMaxEvaluations</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#setStateInitialized(boolean)">setStateInitialized</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#setStepSize(T)">setStepSize</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#setStepStart(org.apache.commons.math3.ode.FieldODEStateAndDerivative)">setStepStart</a></code></li>
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<h3>Methods inherited from class&nbsp;java.lang.<a href="http://docs.oracle.com/javase/7/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/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>
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<code><a href="../../../../../../org/apache/commons/math3/ode/FirstOrderFieldIntegrator.html#integrate(org.apache.commons.math3.ode.FieldExpandableODE,%20org.apache.commons.math3.ode.FieldODEState,%20T)">integrate</a></code></li>
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<h4>scalAbsoluteTolerance</h4>
<pre>protected&nbsp;double scalAbsoluteTolerance</pre>
<div class="block">Allowed absolute scalar error.</div>
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<pre>protected&nbsp;double scalRelativeTolerance</pre>
<div class="block">Allowed relative scalar error.</div>
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<pre>protected&nbsp;double[] vecAbsoluteTolerance</pre>
<div class="block">Allowed absolute vectorial error.</div>
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<pre>protected&nbsp;double[] vecRelativeTolerance</pre>
<div class="block">Allowed relative vectorial error.</div>
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<pre>protected&nbsp;int mainSetDimension</pre>
<div class="block">Main set dimension.</div>
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<h3>Constructor Detail</h3>
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<pre>public&nbsp;AdaptiveStepsizeFieldIntegrator(<a href="../../../../../../org/apache/commons/math3/Field.html" title="interface in org.apache.commons.math3">Field</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a>&gt;&nbsp;field,
                               <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;name,
                               double&nbsp;minStep,
                               double&nbsp;maxStep,
                               double&nbsp;scalAbsoluteTolerance,
                               double&nbsp;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>field</code> - field to which the time and state vector elements belong</dd><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>
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<pre>public&nbsp;AdaptiveStepsizeFieldIntegrator(<a href="../../../../../../org/apache/commons/math3/Field.html" title="interface in org.apache.commons.math3">Field</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a>&gt;&nbsp;field,
                               <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;name,
                               double&nbsp;minStep,
                               double&nbsp;maxStep,
                               double[]&nbsp;vecAbsoluteTolerance,
                               double[]&nbsp;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>field</code> - field to which the time and state vector elements belong</dd><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>
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<a name="setStepSizeControl(double, double, double, double)">
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<h4>setStepSizeControl</h4>
<pre>public&nbsp;void&nbsp;setStepSizeControl(double&nbsp;minimalStep,
                      double&nbsp;maximalStep,
                      double&nbsp;absoluteTolerance,
                      double&nbsp;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/AdaptiveStepsizeFieldIntegrator.html#setInitialStepSize(T)"><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>
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<pre>public&nbsp;void&nbsp;setStepSizeControl(double&nbsp;minimalStep,
                      double&nbsp;maximalStep,
                      double[]&nbsp;absoluteTolerance,
                      double[]&nbsp;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/AdaptiveStepsizeFieldIntegrator.html#setInitialStepSize(T)"><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>
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<pre>public&nbsp;void&nbsp;setInitialStepSize(<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a>&nbsp;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>
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<h4>sanityChecks</h4>
<pre>protected&nbsp;void&nbsp;sanityChecks(<a href="../../../../../../org/apache/commons/math3/ode/FieldODEState.html" title="class in org.apache.commons.math3.ode">FieldODEState</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a>&gt;&nbsp;eqn,
                <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a>&nbsp;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/AbstractFieldIntegrator.html#sanityChecks(org.apache.commons.math3.ode.FieldODEState,%20T)">sanityChecks</a></code>&nbsp;in class&nbsp;<code><a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html" title="class in org.apache.commons.math3.ode">AbstractFieldIntegrator</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a> extends <a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a>&gt;&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>eqn</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>
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<h4>initializeStep</h4>
<pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a>&nbsp;initializeStep(boolean&nbsp;forward,
               int&nbsp;order,
               <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a>[]&nbsp;scale,
               <a href="../../../../../../org/apache/commons/math3/ode/FieldODEStateAndDerivative.html" title="class in org.apache.commons.math3.ode">FieldODEStateAndDerivative</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a>&gt;&nbsp;state0,
               <a href="../../../../../../org/apache/commons/math3/ode/FieldEquationsMapper.html" title="class in org.apache.commons.math3.ode">FieldEquationsMapper</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a>&gt;&nbsp;mapper)
                                             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>state0</code> - state at integration start time</dd><dd><code>mapper</code> - mapper for all the equations</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>
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<pre>protected&nbsp;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a>&nbsp;filterStep(<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a>&nbsp;h,
           boolean&nbsp;forward,
           boolean&nbsp;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>
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<pre>protected&nbsp;void&nbsp;resetInternalState()</pre>
<div class="block">Reset internal state to dummy values.</div>
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<a name="getMinStep()">
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<h4>getMinStep</h4>
<pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a>&nbsp;getMinStep()</pre>
<div class="block">Get the minimal step.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>minimal step</dd></dl>
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<h4>getMaxStep</h4>
<pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="type parameter in AdaptiveStepsizeFieldIntegrator">T</a>&nbsp;getMaxStep()</pre>
<div class="block">Get the maximal step.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>maximal step</dd></dl>
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