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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.math4.legacy.ode.sampling;
19  
20  import org.apache.commons.math4.legacy.core.RealFieldElement;
21  import org.apache.commons.math4.legacy.ode.FieldODEStateAndDerivative;
22  
23  /** This interface represents an interpolator over the last step
24   * during an ODE integration.
25   *
26   * <p>The various ODE integrators provide objects implementing this
27   * interface to the step handlers. These objects are often custom
28   * objects tightly bound to the integrator internal algorithms. The
29   * handlers can use these objects to retrieve the state vector at
30   * intermediate times between the previous and the current grid points
31   * (this feature is often called dense output).</p>
32   *
33   * @param <T> the type of the field elements
34   * @see org.apache.commons.math4.legacy.ode.FirstOrderFieldIntegrator
35   * @see FieldStepHandler
36   * @since 3.6
37   */
38  
39  public interface FieldStepInterpolator<T extends RealFieldElement<T>> {
40  
41    /**
42     * Get the state at previous grid point time.
43     * @return state at previous grid point time
44     */
45    FieldODEStateAndDerivative<T> getPreviousState();
46  
47    /**
48     * Get the state at current grid point time.
49     * @return state at current grid point time
50     */
51    FieldODEStateAndDerivative<T> getCurrentState();
52  
53    /**
54     * Get the state at interpolated time.
55     * <p>Setting the time outside of the current step is allowed, but
56     * should be used with care since the accuracy of the interpolator will
57     * probably be very poor far from this step. This allowance has been
58     * added to simplify implementation of search algorithms near the
59     * step endpoints.</p>
60     * @param time time of the interpolated point
61     * @return state at interpolated time
62     */
63    FieldODEStateAndDerivative<T> getInterpolatedState(T time);
64  
65    /** Check if the natural integration direction is forward.
66     * <p>This method provides the integration direction as specified by
67     * the integrator itself, it avoid some nasty problems in
68     * degenerated cases like null steps due to cancellation at step
69     * initialization, step control or discrete events
70     * triggering.</p>
71     * @return true if the integration variable (time) increases during
72     * integration
73     */
74    boolean isForward();
75  }