/*
 * 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.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.
 *
 * <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
 * @version $Id: SecondOrderIntegrator.java 1416643 2012-12-03 19:37:14Z tn $
 * @since 1.2
 */

public interface SecondOrderIntegrator extends ODEIntegrator {

  /** 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;

}
