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 * 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
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 *      http://www.apache.org/licenses/LICENSE-2.0
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package org.apache.commons.math3.ode;

import org.apache.commons.math3.exception.MathIllegalArgumentException;
import org.apache.commons.math3.exception.MathIllegalStateException;


This interface represents a second order integrator for
differential equations.
The classes which are devoted to solve second order differential equations should implement this interface. The problems which can be handled should implement the SecondOrderDifferentialEquations interface.
See Also:
SecondOrderDifferentialEquations
Since:
1.2/** This interface represents a second order integrator for
 * differential equations.
 *
 * <p>The classes which are devoted to solve second order differential
 * equations should implement this interface. The problems which can
 * be handled should implement the {@link
 * SecondOrderDifferentialEquations} interface.</p>
 *
 * @see SecondOrderDifferentialEquations
 * @since 1.2
 */

public interface SecondOrderIntegrator extends ODEIntegrator {

  
Integrate the differential equations up to the given time
Params:
equations – differential equations to integrate
t0 – initial time
y0 – initial value of the state vector at t0
yDot0 – initial value of the first derivative of the state
vector at t0
t – target time for the integration
(can be set to a value smaller thant t0 for backward integration)
y – placeholder where to put the state vector at each
successful step (and hence at the end of integration), can be the
same object as y0
yDot – placeholder where to put the first derivative of
the state vector at time t, can be the same object as yDot0
Throws:
MathIllegalStateException – if the integrator cannot perform integration
MathIllegalArgumentException – if integration parameters are wrong (typically
too small integration span)/** Integrate the differential equations up to the given time
   * @param equations differential equations to integrate
   * @param t0 initial time
   * @param y0 initial value of the state vector at t0
   * @param yDot0 initial value of the first derivative of the state
   * vector at t0
   * @param t target time for the integration
   * (can be set to a value smaller thant <code>t0</code> for backward integration)
   * @param y placeholder where to put the state vector at each
   * successful step (and hence at the end of integration), can be the
   * same object as y0
   * @param yDot placeholder where to put the first derivative of
   * the state vector at time t, can be the same object as yDot0
   * @throws MathIllegalStateException if the integrator cannot perform integration
   * @throws MathIllegalArgumentException if integration parameters are wrong (typically
   * too small integration span)
   */
  void integrate(SecondOrderDifferentialEquations equations,
                 double t0, double[] y0, double[] yDot0,
                 double t, double[] y, double[] yDot)
      throws MathIllegalStateException, MathIllegalArgumentException;

}