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/*
 * 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.DimensionMismatchException;
import org.apache.commons.math3.exception.MaxCountExceededException;
import org.apache.commons.math3.exception.NoBracketingException;
import org.apache.commons.math3.exception.NumberIsTooSmallException;

/** This interface represents a first order integrator for
 * differential equations.

 * 

The classes which are devoted to solve first order differential * equations should implement this interface. The problems which can * be handled should implement the {@link * FirstOrderDifferentialEquations} interface.

* * @see FirstOrderDifferentialEquations * @see org.apache.commons.math3.ode.sampling.StepHandler * @see org.apache.commons.math3.ode.events.EventHandler * @since 1.2 */ public interface FirstOrderIntegrator extends ODEIntegrator { /** Integrate the differential equations up to the given time. *

This method solves an Initial Value Problem (IVP).

*

Since this method stores some internal state variables made * available in its public interface during integration ({@link * #getCurrentSignedStepsize()}), it is not thread-safe.

* @param equations differential equations to integrate * @param t0 initial time * @param y0 initial value of the state vector at t0 * @param t target time for the integration * (can be set to a value smaller than t0 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 * @return stop time, will be the same as target time if integration reached its * target, but may be different if some {@link * org.apache.commons.math3.ode.events.EventHandler} stops it at some point. * @exception DimensionMismatchException if arrays dimension do not match equations settings * @exception NumberIsTooSmallException if integration step is too small * @exception MaxCountExceededException if the number of functions evaluations is exceeded * @exception NoBracketingException if the location of an event cannot be bracketed */ double integrate (FirstOrderDifferentialEquations equations, double t0, double[] y0, double t, double[] y) throws DimensionMismatchException, NumberIsTooSmallException, MaxCountExceededException, NoBracketingException; }




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