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Java example source code file (SmoothingPolynomialBicubicSplineInterpolatorTest.java)

This example Java source code file (SmoothingPolynomialBicubicSplineInterpolatorTest.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

bivariatefunction, bivariategridinterpolator, deprecated, dimensionmismatchexception, mathillegalargumentexception, smoothingpolynomialbicubicsplineinterpolator, smoothingpolynomialbicubicsplineinterpolatortest, suppresswarnings, test

The SmoothingPolynomialBicubicSplineInterpolatorTest.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.BivariateFunction;
import org.junit.Assert;
import org.junit.Test;

/**
 * Test case for the smoothing bicubic interpolator.
 *
 * @deprecated To be removed in 4.0 (see MATH-1166).
 */
@Deprecated
public final class SmoothingPolynomialBicubicSplineInterpolatorTest {
    /**
     * Test preconditions.
     */
    @Test
    public void testPreconditions() {
        double[] xval = new double[] {3, 4, 5, 6.5, 7.5};
        double[] yval = new double[] {-4, -3, -1, 2.5, 3};
        double[][] zval = new double[xval.length][yval.length];

        BivariateGridInterpolator interpolator = new SmoothingPolynomialBicubicSplineInterpolator(0);

        @SuppressWarnings("unused")
        BivariateFunction p = interpolator.interpolate(xval, yval, zval);

        double[] wxval = new double[] {3, 2, 5, 6.5};
        try {
            p = interpolator.interpolate(wxval, yval, zval);
            Assert.fail("an exception should have been thrown");
        } catch (MathIllegalArgumentException e) {
            // Expected
        }

        double[] wyval = new double[] {-4, -3, -1, -1};
        try {
            p = interpolator.interpolate(xval, wyval, zval);
            Assert.fail("an exception should have been thrown");
        } catch (MathIllegalArgumentException e) {
            // Expected
        }

        double[][] wzval = new double[xval.length][yval.length + 1];
        try {
            p = interpolator.interpolate(xval, yval, wzval);
            Assert.fail("an exception should have been thrown");
        } catch (DimensionMismatchException e) {
            // Expected
        }
        wzval = new double[xval.length - 1][yval.length];
        try {
            p = interpolator.interpolate(xval, yval, wzval);
            Assert.fail("an exception should have been thrown");
        } catch (DimensionMismatchException e) {
            // Expected
        }
        wzval = new double[xval.length][yval.length - 1];
        try {
            p = interpolator.interpolate(xval, yval, wzval);
            Assert.fail("an exception should have been thrown");
        } catch (DimensionMismatchException e) {
            // Expected
        }
    }

    /**
     * Test of interpolator for a plane.
     * <p>
     * z = 2 x - 3 y + 5
     */
    @Test
    public void testPlane() {
        BivariateFunction f = new BivariateFunction() {
                public double value(double x, double y) {
                    return 2 * x - 3 * y + 5
                        + ((int) (FastMath.abs(5 * x + 3 * y)) % 2 == 0 ? 1 : -1);
                }
            };

        BivariateGridInterpolator interpolator = new SmoothingPolynomialBicubicSplineInterpolator(1);

        double[] xval = new double[] {3, 4, 5, 6.5, 7.5};
        double[] yval = new double[] {-4, -3, -1, 2, 2.5, 3.5};
        double[][] zval = new double[xval.length][yval.length];
        for (int i = 0; i < xval.length; i++) {
            for (int j = 0; j < yval.length; j++) {
                zval[i][j] = f.value(xval[i], yval[j]);
            }
        }

        BivariateFunction p = interpolator.interpolate(xval, yval, zval);
        double x, y;
        double expected, result;

        x = 4;
        y = -3;
        expected = f.value(x, y);
        result = p.value(x, y);
        Assert.assertEquals("On sample point", expected, result, 2);

        x = 4.5;
        y = -1.5;
        expected = f.value(x, y);
        result = p.value(x, y);
        Assert.assertEquals("half-way between sample points (middle of the patch)", expected, result, 2);

        x = 3.5;
        y = -3.5;
        expected = f.value(x, y);
        result = p.value(x, y);
        Assert.assertEquals("half-way between sample points (border of the patch)", expected, result, 2);
    }

    /**
     * Test of interpolator for a paraboloid.
     * <p>
     * z = 2 x<sup>2 - 3 y2 + 4 x y - 5
     */
    @Test
    public void testParaboloid() {
        BivariateFunction f = new BivariateFunction() {
                public double value(double x, double y) {
                    return 2 * x * x - 3 * y * y + 4 * x * y - 5
                        + ((int) (FastMath.abs(5 * x + 3 * y)) % 2 == 0 ? 1 : -1);
                }
            };

        BivariateGridInterpolator interpolator = new SmoothingPolynomialBicubicSplineInterpolator(4);

        double[] xval = new double[] {3, 4, 5, 6.5, 7.5, 8};
        double[] yval = new double[] {-4, -3, -2, -1, 0.5, 2.5};
        double[][] zval = new double[xval.length][yval.length];
        for (int i = 0; i < xval.length; i++) {
            for (int j = 0; j < yval.length; j++) {
                zval[i][j] = f.value(xval[i], yval[j]);
            }
        }

        BivariateFunction p = interpolator.interpolate(xval, yval, zval);
        double x, y;
        double expected, result;

        x = 5;
        y = 0.5;
        expected = f.value(x, y);
        result = p.value(x, y);
        Assert.assertEquals("On sample point", expected, result, 2);

        x = 4.5;
        y = -1.5;
        expected = f.value(x, y);
        result = p.value(x, y);
        Assert.assertEquals("half-way between sample points (middle of the patch)", expected, result, 2);

        x = 3.5;
        y = -3.5;
        expected = f.value(x, y);
        result = p.value(x, y);
        Assert.assertEquals("half-way between sample points (border of the patch)", expected, result, 2);
    }
}

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