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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.MathRuntimeException;
+import org.apache.commons.math.MaxIterationsExceededException;
+import org.apache.commons.math.analysis.DifferentiableUnivariateRealFunction;
+import org.apache.commons.math.analysis.UnivariateRealFunction;
+import org.apache.commons.math.exception.util.LocalizedFormats;
+import org.apache.commons.math.util.FastMath;
+
+/**
+ * Implements <a href="http://mathworld.wolfram.com/NewtonsMethod.html">
+ * Newton's Method</a> for finding zeros of real univariate functions.
+ * <p>
+ * The function should be continuous but not necessarily smooth.</p>
+ *
+ * @version $Revision: 1070725 $ $Date: 2011-02-15 02:31:12 +0100 (mar. 15 févr. 2011) $
+ */
+public class NewtonSolver 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 NewtonSolver(DifferentiableUnivariateRealFunction f) {
+ super(f, 100, 1E-6);
+ }
+
+ /**
+ * Construct a solver.
+ * @deprecated in 2.2 (to be removed in 3.0).
+ */
+ @Deprecated
+ public NewtonSolver() {
+ super(100, 1E-6);
+ }
+
+ /** {@inheritDoc} */
+ @Deprecated
+ public double solve(final double min, final double max)
+ throws MaxIterationsExceededException, FunctionEvaluationException {
+ return solve(f, min, max);
+ }
+
+ /** {@inheritDoc} */
+ @Deprecated
+ public double solve(final double min, final double max, final double startValue)
+ throws MaxIterationsExceededException, FunctionEvaluationException {
+ return solve(f, min, max, startValue);
+ }
+
+ /**
+ * Find a zero near the midpoint of <code>min</code> and <code>max</code>.
+ *
+ * @param f the function to solve
+ * @param min the lower bound for the interval
+ * @param max the upper bound for the interval
+ * @param maxEval Maximum number of evaluations.
+ * @return the value where the function is zero
+ * @throws MaxIterationsExceededException if the maximum iteration count is exceeded
+ * @throws FunctionEvaluationException if an error occurs evaluating the function or derivative
+ * @throws IllegalArgumentException if min is not less than max
+ */
+ @Override
+ public double solve(int maxEval, final UnivariateRealFunction f,
+ final double min, final double max)
+ throws MaxIterationsExceededException, FunctionEvaluationException {
+ setMaximalIterationCount(maxEval);
+ return solve(f, min, max);
+ }
+
+ /**
+ * Find a zero near the midpoint of <code>min</code> and <code>max</code>.
+ *
+ * @param f the function to solve
+ * @param min the lower bound for the interval
+ * @param max the upper bound for the interval
+ * @return the value where the function is zero
+ * @throws MaxIterationsExceededException if the maximum iteration count is exceeded
+ * @throws FunctionEvaluationException if an error occurs evaluating the function or derivative
+ * @throws IllegalArgumentException if min is not less than max
+ * @deprecated in 2.2 (to be removed in 3.0).
+ */
+ @Deprecated
+ public double solve(final UnivariateRealFunction f,
+ final double min, final double max)
+ throws MaxIterationsExceededException, FunctionEvaluationException {
+ return solve(f, min, max, UnivariateRealSolverUtils.midpoint(min, max));
+ }
+
+ /**
+ * Find a zero near the value <code>startValue</code>.
+ *
+ * @param f the function to solve
+ * @param min the lower bound for the interval (ignored).
+ * @param max the upper bound for the interval (ignored).
+ * @param startValue the start value to use.
+ * @param maxEval Maximum number of evaluations.
+ * @return the value where the function is zero
+ * @throws MaxIterationsExceededException if the maximum iteration count is exceeded
+ * @throws FunctionEvaluationException if an error occurs evaluating the function or derivative
+ * @throws IllegalArgumentException if startValue is not between min and max or
+ * if function is not a {@link DifferentiableUnivariateRealFunction} instance
+ */
+ @Override
+ public double solve(int maxEval, final UnivariateRealFunction f,
+ final double min, final double max, final double startValue)
+ throws MaxIterationsExceededException, FunctionEvaluationException {
+ setMaximalIterationCount(maxEval);
+ return solve(f, min, max, startValue);
+ }
+
+ /**
+ * Find a zero near the value <code>startValue</code>.
+ *
+ * @param f the function to solve
+ * @param min the lower bound for the interval (ignored).
+ * @param max the upper bound for the interval (ignored).
+ * @param startValue the start value to use.
+ * @return the value where the function is zero
+ * @throws MaxIterationsExceededException if the maximum iteration count is exceeded
+ * @throws FunctionEvaluationException if an error occurs evaluating the function or derivative
+ * @throws IllegalArgumentException if startValue is not between min and max or
+ * if function is not a {@link DifferentiableUnivariateRealFunction} instance
+ * @deprecated in 2.2 (to be removed in 3.0).
+ */
+ @Deprecated
+ public double solve(final UnivariateRealFunction f,
+ final double min, final double max, final double startValue)
+ throws MaxIterationsExceededException, FunctionEvaluationException {
+
+ try {
+
+ final UnivariateRealFunction derivative =
+ ((DifferentiableUnivariateRealFunction) f).derivative();
+ clearResult();
+ verifySequence(min, startValue, max);
+
+ double x0 = startValue;
+ double x1;
+
+ int i = 0;
+ while (i < maximalIterationCount) {
+
+ x1 = x0 - (f.value(x0) / derivative.value(x0));
+ if (FastMath.abs(x1 - x0) <= absoluteAccuracy) {
+ setResult(x1, i);
+ return x1;
+ }
+
+ x0 = x1;
+ ++i;
+ }
+
+ throw new MaxIterationsExceededException(maximalIterationCount);
+ } catch (ClassCastException cce) {
+ throw MathRuntimeException.createIllegalArgumentException(LocalizedFormats.FUNCTION_NOT_DIFFERENTIABLE);
+ }
+ }
+
+}