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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.math.analysis.solvers;

import org.apache.commons.math.FunctionEvaluationException;
import org.apache.commons.math.MaxIterationsExceededException;
import org.apache.commons.math.analysis.UnivariateRealFunction;

/**
 * Implements the 
 * bisection algorithm for finding zeros of univariate real functions.
 * 

* The function should be continuous but not necessarily smooth.

* * @version $Revision$ $Date$ */ public class BisectionSolver extends UnivariateRealSolverImpl { /** * Construct a solver for the given function. * * @param f function to solve. * @deprecated as of 2.0 the function to solve is passed as an argument * to the {@link #solve(UnivariateRealFunction, double, double)} or * {@link UnivariateRealSolverImpl#solve(UnivariateRealFunction, double, double, double)} * method. */ @Deprecated public BisectionSolver(UnivariateRealFunction f) { super(f, 100, 1E-6); } /** * Construct a solver. * */ public BisectionSolver() { super(100, 1E-6); } /** {@inheritDoc} */ @Deprecated public double solve(double min, double max, double initial) throws MaxIterationsExceededException, FunctionEvaluationException { return solve(f, min, max); } /** {@inheritDoc} */ @Deprecated public double solve(double min, double max) throws MaxIterationsExceededException, FunctionEvaluationException { return solve(f, min, max); } /** {@inheritDoc} */ public double solve(final UnivariateRealFunction f, double min, double max, double initial) throws MaxIterationsExceededException, FunctionEvaluationException { return solve(f, min, max); } /** {@inheritDoc} */ public double solve(final UnivariateRealFunction f, double min, double max) throws MaxIterationsExceededException, FunctionEvaluationException { clearResult(); verifyInterval(min,max); double m; double fm; double fmin; int i = 0; while (i < maximalIterationCount) { m = UnivariateRealSolverUtils.midpoint(min, max); fmin = f.value(min); fm = f.value(m); if (fm * fmin > 0.0) { // max and m bracket the root. min = m; } else { // min and m bracket the root. max = m; } if (Math.abs(max - min) <= absoluteAccuracy) { m = UnivariateRealSolverUtils.midpoint(min, max); setResult(m, i); return m; } ++i; } throw new MaxIterationsExceededException(maximalIterationCount); } }




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