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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.
*
* <p>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.
*
* <p>This method solves an Initial Value Problem (IVP).
*
* <p>Since this method stores some internal state variables made available in its public
* interface during integration ({@link #getCurrentSignedStepsize()}), it is <em>not</em>
* 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 <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
* @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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