/*
* 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.analysis.solvers;
import org.apache.commons.math3.analysis.DifferentiableUnivariateFunction;
import org.apache.commons.math3.analysis.QuinticFunction;
import org.apache.commons.math3.analysis.UnivariateFunction;
import org.apache.commons.math3.analysis.differentiation.DerivativeStructure;
import org.apache.commons.math3.analysis.differentiation.UnivariateDifferentiableFunction;
import org.apache.commons.math3.analysis.function.Sin;
import org.apache.commons.math3.util.FastMath;
import org.junit.Assert;
import org.junit.Test;
/**
* @deprecated
*/
@Deprecated
public final class NewtonSolverTest {
/**
*
*/
@Test
public void testSinZero() {
DifferentiableUnivariateFunction f = new Sin();
double result;
NewtonSolver solver = new NewtonSolver();
result = solver.solve(100, f, 3, 4);
Assert.assertEquals(result, FastMath.PI, solver.getAbsoluteAccuracy());
result = solver.solve(100, f, 1, 4);
Assert.assertEquals(result, FastMath.PI, solver.getAbsoluteAccuracy());
Assert.assertTrue(solver.getEvaluations() > 0);
}
/**
*
*/
@Test
public void testQuinticZero() {
final UnivariateDifferentiableFunction q = new QuinticFunction();
DifferentiableUnivariateFunction f = new DifferentiableUnivariateFunction() {
public double value(double x) {
return q.value(x);
}
public UnivariateFunction derivative() {
return new UnivariateFunction() {
public double value(double x) {
return q.value(new DerivativeStructure(1, 1, 0, x)).getPartialDerivative(1);
}
};
}
};
double result;
NewtonSolver solver = new NewtonSolver();
result = solver.solve(100, f, -0.2, 0.2);
Assert.assertEquals(result, 0, solver.getAbsoluteAccuracy());
result = solver.solve(100, f, -0.1, 0.3);
Assert.assertEquals(result, 0, solver.getAbsoluteAccuracy());
result = solver.solve(100, f, -0.3, 0.45);
Assert.assertEquals(result, 0, solver.getAbsoluteAccuracy());
result = solver.solve(100, f, 0.3, 0.7);
Assert.assertEquals(result, 0.5, solver.getAbsoluteAccuracy());
result = solver.solve(100, f, 0.2, 0.6);
Assert.assertEquals(result, 0.5, solver.getAbsoluteAccuracy());
result = solver.solve(100, f, 0.05, 0.95);
Assert.assertEquals(result, 0.5, solver.getAbsoluteAccuracy());
result = solver.solve(100, f, 0.85, 1.25);
Assert.assertEquals(result, 1.0, solver.getAbsoluteAccuracy());
result = solver.solve(100, f, 0.8, 1.2);
Assert.assertEquals(result, 1.0, solver.getAbsoluteAccuracy());
result = solver.solve(100, f, 0.85, 1.75);
Assert.assertEquals(result, 1.0, solver.getAbsoluteAccuracy());
result = solver.solve(100, f, 0.55, 1.45);
Assert.assertEquals(result, 1.0, solver.getAbsoluteAccuracy());
result = solver.solve(100, f, 0.85, 5);
Assert.assertEquals(result, 1.0, solver.getAbsoluteAccuracy());
}
}