Package org.apache.commons.math.analysis.solvers

Source Code of org.apache.commons.math.analysis.solvers.NewtonSolverTest

/*
* 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.MathException;
import org.apache.commons.math.analysis.DifferentiableUnivariateRealFunction;
import org.apache.commons.math.analysis.QuinticFunction;
import org.apache.commons.math.analysis.SinFunction;


import junit.framework.TestCase;

/**
* @version $Revision: 811685 $ $Date: 2009-09-05 13:36:48 -0400 (Sat, 05 Sep 2009) $
*/
public final class NewtonSolverTest extends TestCase {

    @Deprecated
    public void testDeprecated() throws MathException {
        DifferentiableUnivariateRealFunction f = new SinFunction();
        double result;

        UnivariateRealSolver solver = new NewtonSolver(f);
        result = solver.solve(3, 4);
        assertEquals(result, Math.PI, solver.getAbsoluteAccuracy());

        result = solver.solve(1, 4);
        assertEquals(result, Math.PI, solver.getAbsoluteAccuracy());

        assertEquals(result, solver.getResult(), 0);
        assertTrue(solver.getIterationCount() > 0);
    }

    /**
    *
    */
   public void testSinZero() throws MathException {
       DifferentiableUnivariateRealFunction f = new SinFunction();
       double result;

       UnivariateRealSolver solver = new NewtonSolver();
       result = solver.solve(f, 3, 4);
       assertEquals(result, Math.PI, solver.getAbsoluteAccuracy());

       result = solver.solve(f, 1, 4);
       assertEquals(result, Math.PI, solver.getAbsoluteAccuracy());

       assertEquals(result, solver.getResult(), 0);
       assertTrue(solver.getIterationCount() > 0);
   }

   /**
     *
     */
    public void testQuinticZero() throws MathException {
        DifferentiableUnivariateRealFunction f = new QuinticFunction();
        double result;

        UnivariateRealSolver solver = new NewtonSolver();
        result = solver.solve(f, -0.2, 0.2);
        assertEquals(result, 0, solver.getAbsoluteAccuracy());

        result = solver.solve(f, -0.1, 0.3);
        assertEquals(result, 0, solver.getAbsoluteAccuracy());

        result = solver.solve(f, -0.3, 0.45);
        assertEquals(result, 0, solver.getAbsoluteAccuracy());

        result = solver.solve(f, 0.3, 0.7);
        assertEquals(result, 0.5, solver.getAbsoluteAccuracy());

        result = solver.solve(f, 0.2, 0.6);
        assertEquals(result, 0.5, solver.getAbsoluteAccuracy());

        result = solver.solve(f, 0.05, 0.95);
        assertEquals(result, 0.5, solver.getAbsoluteAccuracy());

        result = solver.solve(f, 0.85, 1.25);
        assertEquals(result, 1.0, solver.getAbsoluteAccuracy());

        result = solver.solve(f, 0.8, 1.2);
        assertEquals(result, 1.0, solver.getAbsoluteAccuracy());

        result = solver.solve(f, 0.85, 1.75);
        assertEquals(result, 1.0, solver.getAbsoluteAccuracy());

        result = solver.solve(f, 0.55, 1.45);
        assertEquals(result, 1.0, solver.getAbsoluteAccuracy());

        result = solver.solve(f, 0.85, 5);
        assertEquals(result, 1.0, solver.getAbsoluteAccuracy());
    }

}
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