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Java example source code file (TricubicInterpolatorTest.java)

This example Java source code file (TricubicInterpolatorTest.java) is included in the alvinalexander.com "Java Source Code Warehouse" project. The intent of this project is to help you "Learn Java by Example" TM.

Learn more about this Java project at its project page.

Java - Java tags/keywords

dimensionmismatchexception, half-way, mathillegalargumentexception, suppresswarnings, test, too, tricubicinterpolatingfunction, tricubicinterpolatortest, trivariatefunction, xxx

The TricubicInterpolatorTest.java Java example source code

/*
 * 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.interpolation;

import org.apache.commons.math3.exception.DimensionMismatchException;
import org.apache.commons.math3.exception.MathIllegalArgumentException;
import org.apache.commons.math3.util.FastMath;
import org.apache.commons.math3.analysis.TrivariateFunction;
import org.junit.Assert;
import org.junit.Test;

/**
 * Test case for the {@link TricubicInterpolator tricubic interpolator}.
 */
public final class TricubicInterpolatorTest {
    /**
     * Test preconditions.
     */
    @Test
    public void testPreconditions() {
        double[] xval = new double[] {3, 4, 5, 6.5};
        double[] yval = new double[] {-4, -3, -1, 2.5};
        double[] zval = new double[] {-12, -8, -5.5, -3, 0, 2.5};
        double[][][] fval = new double[xval.length][yval.length][zval.length];

        @SuppressWarnings("unused")
        TrivariateFunction tcf = new TricubicInterpolator().interpolate(xval, yval, zval, fval);

        double[] wxval = new double[] {3, 2, 5, 6.5};
        try {
            tcf = new TricubicInterpolator().interpolate(wxval, yval, zval, fval);
            Assert.fail("an exception should have been thrown");
        } catch (MathIllegalArgumentException e) {
            // Expected
        }
        double[] wyval = new double[] {-4, -1, -1, 2.5};
        try {
            tcf = new TricubicInterpolator().interpolate(xval, wyval, zval, fval);
            Assert.fail("an exception should have been thrown");
        } catch (MathIllegalArgumentException e) {
            // Expected
        }
        double[] wzval = new double[] {-12, -8, -9, -3, 0, 2.5};
        try {
            tcf = new TricubicInterpolator().interpolate(xval, yval, wzval, fval);
            Assert.fail("an exception should have been thrown");
        } catch (MathIllegalArgumentException e) {
            // Expected
        }
        double[][][] wfval = new double[xval.length - 1][yval.length][zval.length];
        try {
            tcf = new TricubicInterpolator().interpolate(xval, yval, zval, wfval);
            Assert.fail("an exception should have been thrown");
        } catch (DimensionMismatchException e) {
            // Expected
        }
        wfval = new double[xval.length][yval.length - 1][zval.length];
        try {
            tcf = new TricubicInterpolator().interpolate(xval, yval, zval, wfval);
            Assert.fail("an exception should have been thrown");
        } catch (DimensionMismatchException e) {
            // Expected
        }
        wfval = new double[xval.length][yval.length][zval.length - 1];
        try {
            tcf = new TricubicInterpolator().interpolate(xval, yval, zval, wfval);
            Assert.fail("an exception should have been thrown");
        } catch (DimensionMismatchException e) {
            // Expected
        }
    }

    public void testIsValid() {
        double[] xval = new double[] {3, 4, 5, 6.5};
        double[] yval = new double[] {-4, -3, -1, 2.5};
        double[] zval = new double[] {-12, -8, -5.5, -3, 0, 2.5};
        double[][][] fval = new double[xval.length][yval.length][zval.length];

        TricubicInterpolatingFunction tcf = new TricubicInterpolator().interpolate(xval, yval, zval, fval);

        // Valid.
        Assert.assertTrue(tcf.isValidPoint(4, -3, -8));
        Assert.assertTrue(tcf.isValidPoint(5, -3, -8));
        Assert.assertTrue(tcf.isValidPoint(4, -1, -8));
        Assert.assertTrue(tcf.isValidPoint(5, -1, -8));
        Assert.assertTrue(tcf.isValidPoint(4, -3, 0));
        Assert.assertTrue(tcf.isValidPoint(5, -3, 0));
        Assert.assertTrue(tcf.isValidPoint(4, -1, 0));
        Assert.assertTrue(tcf.isValidPoint(5, -1, 0));

        // Invalid.
        Assert.assertFalse(tcf.isValidPoint(3.5, -3, -8));
        Assert.assertFalse(tcf.isValidPoint(4.5, -3.1, -8));
        Assert.assertFalse(tcf.isValidPoint(4.5, -2, 0));
        Assert.assertFalse(tcf.isValidPoint(4.5, 0, -3.5));
        Assert.assertFalse(tcf.isValidPoint(-10, 4.1, -1));
    }

    /**
     * Test for a plane.
     * <p>
     *  f(x, y, z) = 2 x - 3 y - 4 z + 5
     * </p>
     */
    @Test
    public void testPlane() {
        double[] xval = new double[] {3, 4, 5, 6.5};
        double[] yval = new double[] {-4, -3, -1, 2, 2.5};
        double[] zval = new double[] {-12, -8, -5.5, -3, 0, 2.5};

        // Function values
        TrivariateFunction f = new TrivariateFunction() {
                public double value(double x, double y, double z) {
                    return 2 * x - 3 * y - 4 * z + 5;
                }
            };

        double[][][] fval = new double[xval.length][yval.length][zval.length];

        for (int i = 0; i < xval.length; i++) {
            for (int j = 0; j < yval.length; j++) {
                for (int k = 0; k < zval.length; k++) {
                    fval[i][j][k] = f.value(xval[i], yval[j], zval[k]);
                }
            }
        }

        TrivariateFunction tcf = new TricubicInterpolator().interpolate(xval,
                                                                        yval,
                                                                        zval,
                                                                        fval);
        double x, y, z;
        double expected, result;

        x = 4;
        y = -3;
        z = 0;
        expected = f.value(x, y, z);
        result = tcf.value(x, y, z);
        Assert.assertEquals("On sample point",
                            expected, result, 1e-15);

        x = 4.5;
        y = -1.5;
        z = -4.25;
        expected = f.value(x, y, z);
        result = tcf.value(x, y, z);
        Assert.assertEquals("Half-way between sample points (middle of the patch)",
                            expected, result, 1e-14);
    }

    /**
     * Sine wave.
     * <p>
     *  f(x, y, z) = a cos [ω z - k<sub>y x - ky y]
     * </p>
     * with A = 0.2, ω = 0.5, k<sub>x = 2, ky = 1.
     */
    @Test
    public void testWave() {
        double[] xval = new double[] {3, 4, 5, 6.5};
        double[] yval = new double[] {-4, -3, -1, 2, 2.5};
        double[] zval = new double[] {-12, -8, -5.5, -3, 0, 4};

        final double a = 0.2;
        final double omega = 0.5;
        final double kx = 2;
        final double ky = 1;

        // Function values
        TrivariateFunction f = new TrivariateFunction() {
                public double value(double x, double y, double z) {
                    return a * FastMath.cos(omega * z - kx * x - ky * y);
                }
            };

        double[][][] fval = new double[xval.length][yval.length][zval.length];
        for (int i = 0; i < xval.length; i++) {
            for (int j = 0; j < yval.length; j++) {
                for (int k = 0; k < zval.length; k++) {
                    fval[i][j][k] = f.value(xval[i], yval[j], zval[k]);
                }
            }
        }

        TrivariateFunction tcf = new TricubicInterpolator().interpolate(xval,
                                                                        yval,
                                                                        zval,
                                                                        fval);

        double x, y, z;
        double expected, result;

        x = 4;
        y = -3;
        z = 0;
        expected = f.value(x, y, z);
        result = tcf.value(x, y, z);
        Assert.assertEquals("On sample point",
                            expected, result, 1e-14);

        x = 4.5;
        y = -1.5;
        z = -4.25;
        expected = f.value(x, y, z);
        result = tcf.value(x, y, z);
        Assert.assertEquals("Half-way between sample points (middle of the patch)",
                            expected, result, 1e-1); // XXX Too high tolerance!
    }
}

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