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projects/Math/70/org/apache/commons/math/analysis/solvers/BisectionSolver.java
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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; | ||
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import org.apache.commons.math.FunctionEvaluationException; | ||
import org.apache.commons.math.MaxIterationsExceededException; | ||
import org.apache.commons.math.analysis.UnivariateRealFunction; | ||
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/** | ||
* Implements the <a href="http://mathworld.wolfram.com/Bisection.html"> | ||
* bisection algorithm</a> for finding zeros of univariate real functions. | ||
* <p> | ||
* The function should be continuous but not necessarily smooth.</p> | ||
* | ||
* @version $Revision$ $Date$ | ||
*/ | ||
public class BisectionSolver extends UnivariateRealSolverImpl { | ||
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/** | ||
* 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); | ||
} | ||
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/** | ||
* Construct a solver. | ||
* | ||
*/ | ||
public BisectionSolver() { | ||
super(100, 1E-6); | ||
} | ||
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/** {@inheritDoc} */ | ||
@Deprecated | ||
public double solve(double min, double max, double initial) | ||
throws MaxIterationsExceededException, FunctionEvaluationException { | ||
return solve(f, min, max); | ||
} | ||
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/** {@inheritDoc} */ | ||
@Deprecated | ||
public double solve(double min, double max) | ||
throws MaxIterationsExceededException, FunctionEvaluationException { | ||
return solve(f, min, max); | ||
} | ||
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/** {@inheritDoc} */ | ||
public double solve(final UnivariateRealFunction f, double min, double max, double initial) | ||
throws MaxIterationsExceededException, FunctionEvaluationException { | ||
return solve(min, max); | ||
} | ||
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/** {@inheritDoc} */ | ||
public double solve(final UnivariateRealFunction f, double min, double max) | ||
throws MaxIterationsExceededException, FunctionEvaluationException { | ||
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clearResult(); | ||
verifyInterval(min,max); | ||
double m; | ||
double fm; | ||
double fmin; | ||
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int i = 0; | ||
while (i < maximalIterationCount) { | ||
m = UnivariateRealSolverUtils.midpoint(min, max); | ||
fmin = f.value(min); | ||
fm = f.value(m); | ||
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if (fm * fmin > 0.0) { | ||
// max and m bracket the root. | ||
min = m; | ||
} else { | ||
// min and m bracket the root. | ||
max = m; | ||
} | ||
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if (Math.abs(max - min) <= absoluteAccuracy) { | ||
m = UnivariateRealSolverUtils.midpoint(min, max); | ||
setResult(m, i); | ||
return m; | ||
} | ||
++i; | ||
} | ||
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throw new MaxIterationsExceededException(maximalIterationCount); | ||
} | ||
} |