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Java example source code file (TricubicSplineInterpolatingFunctionTest.java)

This example Java source code file (TricubicSplineInterpolatingFunctionTest.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

deprecated, dimensionmismatchexception, half-way, mathillegalargumentexception, suppresswarnings, test, tricubicsplineinterpolatingfunction, tricubicsplineinterpolatingfunctiontest, trivariatefunction

The TricubicSplineInterpolatingFunctionTest.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 bicubic function.
 *
 * @deprecated To be removed in 4.0 (see MATH-1166).
 */
@Deprecated
public final class TricubicSplineInterpolatingFunctionTest {
    /**
     * 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 TricubicSplineInterpolatingFunction(xval, yval, zval,
                                                                             fval, fval, fval, fval,
                                                                             fval, fval, fval, fval);

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

    /**
     * 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]);
                }
            }
        }
        // Partial derivatives with respect to x
        double[][][] dFdX = 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++) {
                    dFdX[i][j][k] = 2;
                }
            }
        }
        // Partial derivatives with respect to y
        double[][][] dFdY = 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++) {
                    dFdY[i][j][k] = -3;
                }
            }
        }

        // Partial derivatives with respect to z
        double[][][] dFdZ = 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++) {
                    dFdZ[i][j][k] = -4;
                }
            }
        }
        // Partial cross-derivatives
        double[][][] d2FdXdY = new double[xval.length][yval.length][zval.length];
        double[][][] d2FdXdZ = new double[xval.length][yval.length][zval.length];
        double[][][] d2FdYdZ = new double[xval.length][yval.length][zval.length];
        double[][][] d3FdXdYdZ = 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++) {
                    d2FdXdY[i][j][k] = 0;
                    d2FdXdZ[i][j][k] = 0;
                    d2FdYdZ[i][j][k] = 0;
                    d3FdXdYdZ[i][j][k] = 0;
                }
            }
        }

        TrivariateFunction tcf = new TricubicSplineInterpolatingFunction(xval, yval, zval,
                                                                             fval, dFdX, dFdY, dFdZ,
                                                                             d2FdXdY, d2FdXdZ, d2FdYdZ,
                                                                             d3FdXdYdZ);
        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, 0.3);

        x = 3.5;
        y = -3.5;
        z = -10;
        expected = f.value(x, y, z);
        result = tcf.value(x, y, z);
        Assert.assertEquals("Half-way between sample points (border of the patch)",
                            expected, result, 0.3);
    }

    /**
     * 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]);
                }
            }
        }

        // Partial derivatives with respect to x
        double[][][] dFdX = new double[xval.length][yval.length][zval.length];
        TrivariateFunction dFdX_f = new TrivariateFunction() {
                public double value(double x, double y, double z) {
                    return a * FastMath.sin(omega * z - kx * x - ky * y) * kx;
                }
            };
        for (int i = 0; i < xval.length; i++) {
            for (int j = 0; j < yval.length; j++) {
                for (int k = 0; k < zval.length; k++) {
                    dFdX[i][j][k] = dFdX_f.value(xval[i], yval[j], zval[k]);
                }
            }
        }

        // Partial derivatives with respect to y
        double[][][] dFdY = new double[xval.length][yval.length][zval.length];
        TrivariateFunction dFdY_f = new TrivariateFunction() {
                public double value(double x, double y, double z) {
                    return a * FastMath.sin(omega * z - kx * x - ky * y) * ky;
                }
            };
        for (int i = 0; i < xval.length; i++) {
            for (int j = 0; j < yval.length; j++) {
                for (int k = 0; k < zval.length; k++) {
                    dFdY[i][j][k] = dFdY_f.value(xval[i], yval[j], zval[k]);
                }
            }
        }

        // Partial derivatives with respect to z
        double[][][] dFdZ = new double[xval.length][yval.length][zval.length];
        TrivariateFunction dFdZ_f = new TrivariateFunction() {
                public double value(double x, double y, double z) {
                    return -a * FastMath.sin(omega * z - kx * x - ky * y) * omega;
                }
            };
        for (int i = 0; i < xval.length; i++) {
            for (int j = 0; j < yval.length; j++) {
                for (int k = 0; k < zval.length; k++) {
                    dFdZ[i][j][k] = dFdZ_f.value(xval[i], yval[j], zval[k]);
                }
            }
        }

        // Partial second derivatives w.r.t. (x, y)
        double[][][] d2FdXdY = new double[xval.length][yval.length][zval.length];
        TrivariateFunction d2FdXdY_f = new TrivariateFunction() {
                public double value(double x, double y, double z) {
                    return -a * FastMath.cos(omega * z - kx * x - ky * y) * kx * ky;
                }
            };
        for (int i = 0; i < xval.length; i++) {
            for (int j = 0; j < yval.length; j++) {
                for (int k = 0; k < zval.length; k++) {
                    d2FdXdY[i][j][k] = d2FdXdY_f.value(xval[i], yval[j], zval[k]);
                }
            }
        }

        // Partial second derivatives w.r.t. (x, z)
        double[][][] d2FdXdZ = new double[xval.length][yval.length][zval.length];
        TrivariateFunction d2FdXdZ_f = new TrivariateFunction() {
                public double value(double x, double y, double z) {
                    return a * FastMath.cos(omega * z - kx * x - ky * y) * kx * omega;
                }
            };
        for (int i = 0; i < xval.length; i++) {
            for (int j = 0; j < yval.length; j++) {
                for (int k = 0; k < zval.length; k++) {
                    d2FdXdZ[i][j][k] = d2FdXdZ_f.value(xval[i], yval[j], zval[k]);
                }
            }
        }

        // Partial second derivatives w.r.t. (y, z)
        double[][][] d2FdYdZ = new double[xval.length][yval.length][zval.length];
        TrivariateFunction d2FdYdZ_f = new TrivariateFunction() {
                public double value(double x, double y, double z) {
                    return a * FastMath.cos(omega * z - kx * x - ky * y) * ky * omega;
                }
            };
        for (int i = 0; i < xval.length; i++) {
            for (int j = 0; j < yval.length; j++) {
                for (int k = 0; k < zval.length; k++) {
                    d2FdYdZ[i][j][k] = d2FdYdZ_f.value(xval[i], yval[j], zval[k]);
                }
            }
        }

        // Partial third derivatives
        double[][][] d3FdXdYdZ = new double[xval.length][yval.length][zval.length];
        TrivariateFunction d3FdXdYdZ_f = new TrivariateFunction() {
                public double value(double x, double y, double z) {
                    return a * FastMath.sin(omega * z - kx * x - ky * y) * kx * ky * omega;
                }
            };
        for (int i = 0; i < xval.length; i++) {
            for (int j = 0; j < yval.length; j++) {
                for (int k = 0; k < zval.length; k++) {
                    d3FdXdYdZ[i][j][k] = d3FdXdYdZ_f.value(xval[i], yval[j], zval[k]);
                }
            }
        }

        TrivariateFunction tcf = new TricubicSplineInterpolatingFunction(xval, yval, zval,
                                                                             fval, dFdX, dFdY, dFdZ,
                                                                             d2FdXdY, d2FdXdZ, d2FdYdZ,
                                                                             d3FdXdYdZ);
        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, 0.1);

        x = 3.5;
        y = -3.5;
        z = -10;
        expected = f.value(x, y, z);
        result = tcf.value(x, y, z);
        Assert.assertEquals("Half-way between sample points (border of the patch)",
                            expected, result, 0.1);
    }
}

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