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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  *      http://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 package org.apache.commons.math.ode.jacobians;
19 
20 import org.apache.commons.math.ode.events.EventException;
21 
22 /** This interface represents a handler for discrete events triggered
23  * during ODE integration.
24  *
25  * <p>Some events can be triggered at discrete times as an ODE problem
26  * is solved. This occurs for example when the integration process
27  * should be stopped as some state is reached (G-stop facility) when the
28  * precise date is unknown a priori, or when the derivatives have
29  * discontinuities, or simply when the user wants to monitor some
30  * states boundaries crossings.
31  * </p>
32  *
33  * <p>These events are defined as occurring when a <code>g</code>
34  * switching function sign changes.</p>
35  *
36  * <p>Since events are only problem-dependent and are triggered by the
37  * independent <i>time</i> variable and the state vector, they can
38  * occur at virtually any time, unknown in advance. The integrators will
39  * take care to avoid sign changes inside the steps, they will reduce
40  * the step size when such an event is detected in order to put this
41  * event exactly at the end of the current step. This guarantees that
42  * step interpolation (which always has a one step scope) is relevant
43  * even in presence of discontinuities. This is independent from the
44  * stepsize control provided by integrators that monitor the local
45  * error (this event handling feature is available for all integrators,
46  * including fixed step ones).</p>
47  *
48  * <p>Note that is is possible to register a {@link
49  * org.apache.commons.math.ode.events.EventHandler classical event handler}
50  * in the low level integrator used to build a {@link FirstOrderIntegratorWithJacobians}
51  * rather than implementing this class. The event handlers registered at low level
52  * will see the big compound state whether the event handlers defined by this interface
53  * see the original state, and its jacobians in separate arrays.</p>
54  *
55  * <p>The compound state is guaranteed to contain the original state in the first
56  * elements, followed by the jacobian with respect to initial state (in row order),
57  * followed by the jacobian with respect to parameters (in row order). If for example
58  * the original state dimension is 6 and there are 3 parameters, the compound state will
59  * be a 60 elements array. The first 6 elements will be the original state, the next 36
60  * elements will be the jacobian with respect to initial state, and the remaining 18 elements
61  * will be the jacobian with respect to parameters.</p>
62  *
63  * <p>Dealing with low level event handlers is cumbersome if one really needs the jacobians
64  * in these methods, but it also prevents many data being copied back and forth between
65  * state and jacobians on one side and compound state on the other side. So for performance
66  * reasons, it is recommended to use this interface <em>only</em> if jacobians are really
67  * needed and to use lower level handlers if only state is needed.</p>
68  *
69  * @version $Revision: 1037341 $ $Date: 2010-11-20 22:58:35 +0100 (sam. 20 nov. 2010) $
70  * @since 2.1
71  * @deprecated as of 2.2 the complete package is deprecated, it will be replaced
72  * in 3.0 by a completely rewritten implementation
73  */
74 @Deprecated
75 public interface EventHandlerWithJacobians  {
76 
77     /** Stop indicator.
78      * <p>This value should be used as the return value of the {@link
79      * #eventOccurred eventOccurred} method when the integration should be
80      * stopped after the event ending the current step.</p>
81      */
82     int STOP = 0;
83 
84     /** Reset state indicator.
85      * <p>This value should be used as the return value of the {@link
86      * #eventOccurred eventOccurred} method when the integration should
87      * go on after the event ending the current step, with a new state
88      * vector (which will be retrieved thanks to the {@link #resetState
89      * resetState} method).</p>
90      */
91     int RESET_STATE = 1;
92 
93     /** Reset derivatives indicator.
94      * <p>This value should be used as the return value of the {@link
95      * #eventOccurred eventOccurred} method when the integration should
96      * go on after the event ending the current step, with a new derivatives
97      * vector (which will be retrieved thanks to the {@link
98      * org.apache.commons.math.ode.FirstOrderDifferentialEquations#computeDerivatives}
99      * method).</p>
100      */
101     int RESET_DERIVATIVES = 2;
102 
103     /** Continue indicator.
104      * <p>This value should be used as the return value of the {@link
105      * #eventOccurred eventOccurred} method when the integration should go
106      * on after the event ending the current step.</p>
107      */
108     int CONTINUE = 3;
109 
110     /** Compute the value of the switching function.
111 
112      * <p>The discrete events are generated when the sign of this
113      * switching function changes. The integrator will take care to change
114      * the stepsize in such a way these events occur exactly at step boundaries.
115      * The switching function must be continuous in its roots neighborhood
116      * (but not necessarily smooth), as the integrator will need to find its
117      * roots to locate precisely the events.</p>
118 
119      * @param t current value of the independent <i>time</i> variable
120      * @param y array containing the current value of the state vector
121      * @param dydy0 array containing the current value of the jacobian of
122      * the state vector with respect to initial state
123      * @param dydp array containing the current value of the jacobian of
124      * the state vector with respect to parameters
125      * @return value of the g switching function
126      * @exception EventException if the switching function cannot be evaluated
127      */
g(double t, double[] y, double[][] dydy0, double[][] dydp)128     double g(double t, double[] y, double[][] dydy0, double[][] dydp)
129         throws EventException;
130 
131     /** Handle an event and choose what to do next.
132 
133      * <p>This method is called when the integrator has accepted a step
134      * ending exactly on a sign change of the function, just <em>before</em>
135      * the step handler itself is called (see below for scheduling). It
136      * allows the user to update his internal data to acknowledge the fact
137      * the event has been handled (for example setting a flag in the {@link
138      * org.apache.commons.math.ode.jacobians.ODEWithJacobians
139      * differential equations} to switch the derivatives computation in
140      * case of discontinuity), or to direct the integrator to either stop
141      * or continue integration, possibly with a reset state or derivatives.</p>
142 
143      * <ul>
144      *   <li>if {@link #STOP} is returned, the step handler will be called
145      *   with the <code>isLast</code> flag of the {@link
146      *   org.apache.commons.math.ode.jacobians.StepHandlerWithJacobians#handleStep(
147      *   StepInterpolatorWithJacobians, boolean) handleStep} method set to true and
148      *   the integration will be stopped,</li>
149      *   <li>if {@link #RESET_STATE} is returned, the {@link #resetState
150      *   resetState} method will be called once the step handler has
151      *   finished its task, and the integrator will also recompute the
152      *   derivatives,</li>
153      *   <li>if {@link #RESET_DERIVATIVES} is returned, the integrator
154      *   will recompute the derivatives,
155      *   <li>if {@link #CONTINUE} is returned, no specific action will
156      *   be taken (apart from having called this method) and integration
157      *   will continue.</li>
158      * </ul>
159 
160      * <p>The scheduling between this method and the {@link
161      * org.apache.commons.math.ode.jacobians.StepHandlerWithJacobians
162      * StepHandlerWithJacobians} method {@link
163      * org.apache.commons.math.ode.jacobians.StepHandlerWithJacobians#handleStep(
164      * StepInterpolatorWithJacobians, boolean) handleStep(interpolator, isLast)}
165      * is to call this method first and <code>handleStep</code> afterwards. This
166      * scheduling allows the integrator to pass <code>true</code> as the
167      * <code>isLast</code> parameter to the step handler to make it aware the step
168      * will be the last one if this method returns {@link #STOP}. As the
169      * interpolator may be used to navigate back throughout the last step (as {@link
170      * org.apache.commons.math.ode.sampling.StepNormalizer StepNormalizer}
171      * does for example), user code called by this method and user
172      * code called by step handlers may experience apparently out of order values
173      * of the independent time variable. As an example, if the same user object
174      * implements both this {@link EventHandlerWithJacobians EventHandler} interface and the
175      * {@link org.apache.commons.math.ode.sampling.FixedStepHandler FixedStepHandler}
176      * interface, a <em>forward</em> integration may call its
177      * <code>eventOccurred</code> method with t = 10 first and call its
178      * <code>handleStep</code> method with t = 9 afterwards. Such out of order
179      * calls are limited to the size of the integration step for {@link
180      * org.apache.commons.math.ode.sampling.StepHandler variable step handlers} and
181      * to the size of the fixed step for {@link
182      * org.apache.commons.math.ode.sampling.FixedStepHandler fixed step handlers}.</p>
183 
184      * @param t current value of the independent <i>time</i> variable
185      * @param y array containing the current value of the state vector
186      * @param dydy0 array containing the current value of the jacobian of
187      * the state vector with respect to initial state
188      * @param dydp array containing the current value of the jacobian of
189      * the state vector with respect to parameters
190      * @param increasing if true, the value of the switching function increases
191      * when times increases around event (note that increase is measured with respect
192      * to physical time, not with respect to integration which may go backward in time)
193      * @return indication of what the integrator should do next, this
194      * value must be one of {@link #STOP}, {@link #RESET_STATE},
195      * {@link #RESET_DERIVATIVES} or {@link #CONTINUE}
196      * @exception EventException if the event occurrence triggers an error
197      */
eventOccurred(double t, double[] y, double[][] dydy0, double[][] dydp, boolean increasing)198     int eventOccurred(double t, double[] y, double[][] dydy0, double[][] dydp,
199                       boolean increasing) throws EventException;
200 
201     /** Reset the state prior to continue the integration.
202 
203      * <p>This method is called after the step handler has returned and
204      * before the next step is started, but only when {@link
205      * #eventOccurred} has itself returned the {@link #RESET_STATE}
206      * indicator. It allows the user to reset the state vector for the
207      * next step, without perturbing the step handler of the finishing
208      * step. If the {@link #eventOccurred} never returns the {@link
209      * #RESET_STATE} indicator, this function will never be called, and it is
210      * safe to leave its body empty.</p>
211 
212      * @param t current value of the independent <i>time</i> variable
213      * @param y array containing the current value of the state vector
214      * the new state should be put in the same array
215      * @param dydy0 array containing the current value of the jacobian of
216      * the state vector with respect to initial state, the new jacobian
217      * should be put in the same array
218      * @param dydp array containing the current value of the jacobian of
219      * the state vector with respect to parameters, the new jacobian
220      * should be put in the same array
221      * @exception EventException if the state cannot be reseted
222      */
resetState(double t, double[] y, double[][] dydy0, double[][] dydp)223     void resetState(double t, double[] y, double[][] dydy0, double[][] dydp)
224     throws EventException;
225 
226 }
227