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Commons Math example source code file (HighamHall54StepInterpolator.java)
The Commons Math HighamHall54StepInterpolator.java source code/* * Licensed to the Apache Software Foundation (ASF) under one or more * contributor license agreements. See the NOTICE file distributed with * this work for additional information regarding copyright ownership. * The ASF licenses this file to You under the Apache License, Version 2.0 * (the "License"); you may not use this file except in compliance with * the License. You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ package org.apache.commons.math.ode.nonstiff; import org.apache.commons.math.ode.DerivativeException; import org.apache.commons.math.ode.sampling.StepInterpolator; /** * This class represents an interpolator over the last step during an * ODE integration for the 5(4) Higham and Hall integrator. * * @see HighamHall54Integrator * * @version $Revision: 811827 $ $Date: 2009-09-06 11:32:50 -0400 (Sun, 06 Sep 2009) $ * @since 1.2 */ class HighamHall54StepInterpolator extends RungeKuttaStepInterpolator { /** Serializable version identifier */ private static final long serialVersionUID = -3583240427587318654L; /** Simple constructor. * This constructor builds an instance that is not usable yet, the * {@link * org.apache.commons.math.ode.sampling.AbstractStepInterpolator#reinitialize} * method should be called before using the instance in order to * initialize the internal arrays. This constructor is used only * in order to delay the initialization in some cases. The {@link * EmbeddedRungeKuttaIntegrator} uses the prototyping design pattern * to create the step interpolators by cloning an uninitialized model * and later initializing the copy. */ public HighamHall54StepInterpolator() { super(); } /** Copy constructor. * @param interpolator interpolator to copy from. The copy is a deep * copy: its arrays are separated from the original arrays of the * instance */ public HighamHall54StepInterpolator(final HighamHall54StepInterpolator interpolator) { super(interpolator); } /** {@inheritDoc} */ @Override protected StepInterpolator doCopy() { return new HighamHall54StepInterpolator(this); } /** {@inheritDoc} */ @Override protected void computeInterpolatedStateAndDerivatives(final double theta, final double oneMinusThetaH) throws DerivativeException { final double theta2 = theta * theta; final double b0 = h * (-1.0/12.0 + theta * (1.0 + theta * (-15.0/4.0 + theta * (16.0/3.0 + theta * -5.0/2.0)))); final double b2 = h * (-27.0/32.0 + theta2 * (459.0/32.0 + theta * (-243.0/8.0 + theta * 135.0/8.0))); final double b3 = h * (4.0/3.0 + theta2 * (-22.0 + theta * (152.0/3.0 + theta * -30.0))); final double b4 = h * (-125.0/96.0 + theta2 * (375.0/32.0 + theta * (-625.0/24.0 + theta * 125.0/8.0))); final double b5 = h * (-5.0/48.0 + theta2 * (-5.0/16.0 + theta * 5.0/12.0)); final double bDot0 = 1 + theta * (-15.0/2.0 + theta * (16.0 - 10.0 * theta)); final double bDot2 = theta * (459.0/16.0 + theta * (-729.0/8.0 + 135.0/2.0 * theta)); final double bDot3 = theta * (-44.0 + theta * (152.0 - 120.0 * theta)); final double bDot4 = theta * (375.0/16.0 + theta * (-625.0/8.0 + 125.0/2.0 * theta)); final double bDot5 = theta * 5.0/8.0 * (2 * theta - 1); for (int i = 0; i < interpolatedState.length; ++i) { final double yDot0 = yDotK[0][i]; final double yDot2 = yDotK[2][i]; final double yDot3 = yDotK[3][i]; final double yDot4 = yDotK[4][i]; final double yDot5 = yDotK[5][i]; interpolatedState[i] = currentState[i] + b0 * yDot0 + b2 * yDot2 + b3 * yDot3 + b4 * yDot4 + b5 * yDot5; interpolatedDerivatives[i] = bDot0 * yDot0 + bDot2 * yDot2 + bDot3 * yDot3 + bDot4 * yDot4 + bDot5 * yDot5; } } } Other Commons Math examples (source code examples)Here is a short list of links related to this Commons Math HighamHall54StepInterpolator.java source code file: |
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