1 /* 2 * Licensed to the Apache Software Foundation (ASF) under one or more 3 * contributor license agreements. See the NOTICE file distributed with 4 * this work for additional information regarding copyright ownership. 5 * The ASF licenses this file to You under the Apache License, Version 2.0 6 * (the "License"); you may not use this file except in compliance with 7 * the License. You may obtain a copy of the License at 8 * 9 * https://www.apache.org/licenses/LICENSE-2.0 10 * 11 * Unless required by applicable law or agreed to in writing, software 12 * distributed under the License is distributed on an "AS IS" BASIS, 13 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 14 * See the License for the specific language governing permissions and 15 * limitations under the License. 16 */ 17 18 /* 19 * This is not the original file distributed by the Apache Software Foundation 20 * It has been modified by the Hipparchus project 21 */ 22 23 package org.hipparchus.migration.ode; 24 25 import org.hipparchus.ode.SecondOrderODE; 26 27 /** This interface represents a second order differential equations set. 28 29 * <p>This interface should be implemented by all real second order 30 * differential equation problems before they can be handled by the 31 * {@link org.hipparchus.ode.FirstOrderConverter converter to first order}.</p> 32 * 33 * <p>A second order differential equations problem, as seen by an 34 * integrator is the second time derivative <code>d2Y/dt^2</code> of a 35 * state vector <code>Y</code>, both being one dimensional 36 * arrays. From the integrator point of view, this derivative depends 37 * only on the current time <code>t</code>, on the state vector 38 * <code>Y</code> and on the first time derivative of the state 39 * vector.</p> 40 * 41 * <p>For real problems, the derivative depends also on parameters 42 * that do not belong to the state vector (dynamical model constants 43 * for example). These constants are completely outside of the scope 44 * of this interface, the classes that implement it are allowed to 45 * handle them as they want.</p> 46 * @deprecated as of 1.0, replaced with {@link SecondOrderODE} 47 */ 48 @Deprecated 49 public interface SecondOrderDifferentialEquations extends SecondOrderODE { 50 51 /** {@inheritDoc} */ 52 @Override 53 default double[] computeSecondDerivatives(double t, double[] y, double[] yDot) { 54 final double[] yDDot = new double[y.length]; 55 computeSecondDerivatives(t, y, yDot, yDDot); 56 return yDDot; 57 } 58 59 /** Get the current time derivative of the state vector. 60 * @param t current value of the independent <I>time</I> variable 61 * @param y array containing the current value of the state vector 62 * @param yDot array containing the current value of the first derivative 63 * of the state vector 64 * @param yDDot placeholder array where to put the second time derivative 65 * of the state vector 66 */ 67 void computeSecondDerivatives(double t, double[] y, double[] yDot, double[] yDDot); 68 69 }