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Commons Math example source code file (SparseRealVectorTest.java)

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

Java - Commons Math tags/keywords

arithmeticexception, exception, illegalargumentexception, illegalargumentexception, io, matrixindexexception, openmaprealvector, openmaprealvector, override, override, realmatrix, realvector, realvector, sparserealvectortestimpl, unsupportedoperationexception, util

The Commons Math SparseRealVectorTest.java 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.math.linear;

import java.io.Serializable;
import java.util.Iterator;

import junit.framework.TestCase;

import org.apache.commons.math.FunctionEvaluationException;
import org.apache.commons.math.TestUtils;
import org.apache.commons.math.analysis.UnivariateRealFunction;

/**
 * Test cases for the {@link OpenMapRealVector} class.
 *
 * @version $Revision: 902203 $ $Date: 2010-01-22 13:27:41 -0500 (Fri, 22 Jan 2010) $
 */
public class SparseRealVectorTest extends TestCase {

    //
    protected double[][] ma1 = {{1d, 2d, 3d}, {4d, 5d, 6d}, {7d, 8d, 9d}};
    protected double[] vec1 = {1d, 2d, 3d};
    protected double[] vec2 = {4d, 5d, 6d};
    protected double[] vec3 = {7d, 8d, 9d};
    protected double[] vec4 = {1d, 2d, 3d, 4d, 5d, 6d, 7d, 8d, 9d};
    protected double[] vec5 = { -4d, 0d, 3d, 1d, -6d, 3d};
    protected double[] vec_null = {0d, 0d, 0d};
    protected Double[] dvec1 = {1d, 2d, 3d, 4d, 5d, 6d, 7d, 8d, 9d};
    protected double[][] mat1 = {{1d, 2d, 3d}, {4d, 5d, 6d},{ 7d, 8d, 9d}};

    // tolerances
    protected double entryTolerance = 10E-16;
    protected double normTolerance = 10E-14;

    // Testclass to test the RealVector interface
    // only with enough content to support the test
    public static class SparseRealVectorTestImpl extends AbstractRealVector implements Serializable {

        private static final long serialVersionUID = -6251371752518113791L;
        /** Entries of the vector. */
        protected double data[];

        public SparseRealVectorTestImpl(double[] d) {
            data = d.clone();
        }

        private UnsupportedOperationException unsupported() {
            return new UnsupportedOperationException("Not supported, unneeded for test purposes");
        }

        @Override
        public RealVector map(UnivariateRealFunction function) throws FunctionEvaluationException {
            throw unsupported();
        }

        @Override
        public RealVector mapToSelf(UnivariateRealFunction function) throws FunctionEvaluationException {
            throw unsupported();
        }

        @Override
        public Iterator<Entry> iterator() {
            throw unsupported();
        }

        @Override
        public AbstractRealVector copy() {
            return new SparseRealVectorTestImpl(data);
        }

        @Override
        public RealVector add(RealVector v) throws IllegalArgumentException {
            throw unsupported();
        }

        @Override
        public RealVector add(double[] v) throws IllegalArgumentException {
            throw unsupported();
        }

        @Override
        public RealVector subtract(RealVector v) throws IllegalArgumentException {
            throw unsupported();
        }

        @Override
        public RealVector subtract(double[] v) throws IllegalArgumentException {
            throw unsupported();
        }

        @Override
        public RealVector mapAdd(double d) {
            throw unsupported();
        }

        @Override
        public RealVector mapAddToSelf(double d) {
            throw unsupported();
        }

        @Override
        public RealVector mapSubtract(double d) {
            throw unsupported();
        }

        @Override
        public RealVector mapSubtractToSelf(double d) {
            throw unsupported();
        }

        @Override
        public RealVector mapMultiply(double d) {
            double[] out = new double[data.length];
            for (int i = 0; i < data.length; i++) {
                out[i] = data[i] * d;
            }
            return new OpenMapRealVector(out);
        }

        @Override
        public RealVector mapMultiplyToSelf(double d) {
            throw unsupported();
        }

        @Override
        public RealVector mapDivide(double d) {
            throw unsupported();
        }

        @Override
        public RealVector mapDivideToSelf(double d) {
            throw unsupported();
        }

        @Override
        public RealVector mapPow(double d) {
            throw unsupported();
        }

        @Override
        public RealVector mapPowToSelf(double d) {
            throw unsupported();
        }

        @Override
        public RealVector mapExp() {
            throw unsupported();
        }

        @Override
        public RealVector mapExpToSelf() {
            throw unsupported();
        }

        @Override
        public RealVector mapExpm1() {
            throw unsupported();
        }

        @Override
        public RealVector mapExpm1ToSelf() {
            throw unsupported();
        }

        @Override
        public RealVector mapLog() {
            throw unsupported();
        }

        @Override
        public RealVector mapLogToSelf() {
            throw unsupported();
        }

        @Override
        public RealVector mapLog10() {
            throw unsupported();
        }

        @Override
        public RealVector mapLog10ToSelf() {
            throw unsupported();
        }

        @Override
        public RealVector mapLog1p() {
            throw unsupported();
        }

        @Override
        public RealVector mapLog1pToSelf() {
            throw unsupported();
        }

        @Override
        public RealVector mapCosh() {
            throw unsupported();
        }

        @Override
        public RealVector mapCoshToSelf() {
            throw unsupported();
        }

        @Override
        public RealVector mapSinh() {
            throw unsupported();
        }

        @Override
        public RealVector mapSinhToSelf() {
            throw unsupported();
        }

        @Override
        public RealVector mapTanh() {
            throw unsupported();
        }

        @Override
        public RealVector mapTanhToSelf() {
            throw unsupported();
        }

        @Override
        public RealVector mapCos() {
            throw unsupported();
        }

        @Override
        public RealVector mapCosToSelf() {
            throw unsupported();
        }

        @Override
        public RealVector mapSin() {
            throw unsupported();
        }

        @Override
        public RealVector mapSinToSelf() {
            throw unsupported();
        }

        @Override
        public RealVector mapTan() {
            throw unsupported();
        }

        @Override
        public RealVector mapTanToSelf() {
            throw unsupported();
        }

        @Override
        public RealVector mapAcos() {
            throw unsupported();
        }

        @Override
        public RealVector mapAcosToSelf() {
            throw unsupported();
        }

        @Override
        public RealVector mapAsin() {
            throw unsupported();
        }

        @Override
        public RealVector mapAsinToSelf() {
            throw unsupported();
        }

        @Override
        public RealVector mapAtan() {
            throw unsupported();
        }

        @Override
        public RealVector mapAtanToSelf() {
            throw unsupported();
        }

        @Override
        public RealVector mapInv() {
            throw unsupported();
        }

        @Override
        public RealVector mapInvToSelf() {
            throw unsupported();
        }

        @Override
        public RealVector mapAbs() {
            throw unsupported();
        }

        @Override
        public RealVector mapAbsToSelf() {
            throw unsupported();
        }

        @Override
        public RealVector mapSqrt() {
            throw unsupported();
        }

        @Override
        public RealVector mapSqrtToSelf() {
            throw unsupported();
        }

        @Override
        public RealVector mapCbrt() {
            throw unsupported();
        }

        @Override
        public RealVector mapCbrtToSelf() {
            throw unsupported();
        }

        @Override
        public RealVector mapCeil() {
            throw unsupported();
        }

        @Override
        public RealVector mapCeilToSelf() {
            throw unsupported();
        }

        @Override
        public RealVector mapFloor() {
            throw unsupported();
        }

        @Override
        public RealVector mapFloorToSelf() {
            throw unsupported();
        }

        @Override
        public RealVector mapRint() {
            throw unsupported();
        }

        @Override
        public RealVector mapRintToSelf() {
            throw unsupported();
        }

        @Override
        public RealVector mapSignum() {
            throw unsupported();
        }

        @Override
        public RealVector mapSignumToSelf() {
            throw unsupported();
        }

        @Override
        public RealVector mapUlp() {
            throw unsupported();
        }

        @Override
        public RealVector mapUlpToSelf() {
            throw unsupported();
        }

        public RealVector ebeMultiply(RealVector v) throws IllegalArgumentException {
            throw unsupported();
        }

        @Override
        public RealVector ebeMultiply(double[] v) throws IllegalArgumentException {
            throw unsupported();
        }

        public RealVector ebeDivide(RealVector v) throws IllegalArgumentException {
            throw unsupported();
        }

        @Override
        public RealVector ebeDivide(double[] v) throws IllegalArgumentException {
            throw unsupported();
        }

        @Override
        public double[] getData() {
            return data.clone();
        }

        @Override
        public double dotProduct(RealVector v) throws IllegalArgumentException {
            double dot = 0;
            for (int i = 0; i < data.length; i++) {
                dot += data[i] * v.getEntry(i);
            }
            return dot;
        }

        @Override
        public double dotProduct(double[] v) throws IllegalArgumentException {
            double dot = 0;
            for (int i = 0; i < data.length; i++) {
                dot += data[i] * v[i];
            }
            return dot;
        }

        @Override
        public double getNorm() {
            throw unsupported();
        }

        @Override
        public double getL1Norm() {
            throw unsupported();
        }

        @Override
        public double getLInfNorm() {
            throw unsupported();
        }

        @Override
        public double getDistance(RealVector v) throws IllegalArgumentException {
            throw unsupported();
        }

        @Override
        public double getDistance(double[] v) throws IllegalArgumentException {
            throw unsupported();
        }

        @Override
        public double getL1Distance(RealVector v) throws IllegalArgumentException {
            throw unsupported();
        }

        @Override
        public double getL1Distance(double[] v) throws IllegalArgumentException {
            throw unsupported();
        }

        @Override
        public double getLInfDistance(RealVector v) throws IllegalArgumentException {
            throw unsupported();
        }

        @Override
        public double getLInfDistance(double[] v) throws IllegalArgumentException {
            throw unsupported();
        }

        @Override
        public RealVector unitVector() {
            throw unsupported();
        }

        @Override
        public void unitize() {
            throw unsupported();
        }

        public RealVector projection(RealVector v) throws IllegalArgumentException {
            throw unsupported();
        }

        @Override
        public RealVector projection(double[] v) throws IllegalArgumentException {
            throw unsupported();
        }

        @Override
        public RealMatrix outerProduct(RealVector v) throws IllegalArgumentException {
            throw unsupported();
        }

        @Override
        public RealMatrix outerProduct(double[] v) throws IllegalArgumentException {
            throw unsupported();
        }

        public double getEntry(int index) throws MatrixIndexException {
            return data[index];
        }

        public int getDimension() {
            return data.length;
        }

        public RealVector append(RealVector v) {
            throw unsupported();
        }

        public RealVector append(double d) {
            throw unsupported();
        }

        public RealVector append(double[] a) {
            throw unsupported();
        }

        public RealVector getSubVector(int index, int n) throws MatrixIndexException {
            throw unsupported();
        }

        public void setEntry(int index, double value) throws MatrixIndexException {
            data[index] = value;
        }

        @Override
        public void setSubVector(int index, RealVector v) throws MatrixIndexException {
            throw unsupported();
        }

        @Override
        public void setSubVector(int index, double[] v) throws MatrixIndexException {
            throw unsupported();
        }

        @Override
        public void set(double value) {
            throw unsupported();
        }

        @Override
        public double[] toArray() {
            throw unsupported();
        }

        public boolean isNaN() {
            throw unsupported();
        }

        public boolean isInfinite() {
            throw unsupported();
        }

    }

    public void testConstructors() {

        OpenMapRealVector v0 = new OpenMapRealVector();
        assertEquals("testData len", 0, v0.getDimension());

        OpenMapRealVector v1 = new OpenMapRealVector(7);
        assertEquals("testData len", 7, v1.getDimension());
        assertEquals("testData is 0.0 ", 0.0, v1.getEntry(6));

        OpenMapRealVector v3 = new OpenMapRealVector(vec1);
        assertEquals("testData len", 3, v3.getDimension());
        assertEquals("testData is 2.0 ", 2.0, v3.getEntry(1));

        //SparseRealVector v4 = new SparseRealVector(vec4, 3, 2);
        //assertEquals("testData len", 2, v4.getDimension());
        //assertEquals("testData is 4.0 ", 4.0, v4.getEntry(0));
        //try {
        //    new SparseRealVector(vec4, 8, 3);
        //    fail("IllegalArgumentException expected");
        //} catch (IllegalArgumentException ex) {
            // expected behavior
        //} catch (Exception e) {
        //    fail("wrong exception caught");
        //}

        RealVector v5_i = new OpenMapRealVector(dvec1);
        assertEquals("testData len", 9, v5_i.getDimension());
        assertEquals("testData is 9.0 ", 9.0, v5_i.getEntry(8));

        OpenMapRealVector v5 = new OpenMapRealVector(dvec1);
        assertEquals("testData len", 9, v5.getDimension());
        assertEquals("testData is 9.0 ", 9.0, v5.getEntry(8));

        OpenMapRealVector v7 = new OpenMapRealVector(v1);
        assertEquals("testData len", 7, v7.getDimension());
        assertEquals("testData is 0.0 ", 0.0, v7.getEntry(6));

        SparseRealVectorTestImpl v7_i = new SparseRealVectorTestImpl(vec1);

        OpenMapRealVector v7_2 = new OpenMapRealVector(v7_i);
        assertEquals("testData len", 3, v7_2.getDimension());
        assertEquals("testData is 0.0 ", 2.0d, v7_2.getEntry(1));

        OpenMapRealVector v8 = new OpenMapRealVector(v1);
        assertEquals("testData len", 7, v8.getDimension());
        assertEquals("testData is 0.0 ", 0.0, v8.getEntry(6));

    }

    public void testDataInOut() {

        OpenMapRealVector v1 = new OpenMapRealVector(vec1);
        OpenMapRealVector v2 = new OpenMapRealVector(vec2);
        OpenMapRealVector v4 = new OpenMapRealVector(vec4);
        SparseRealVectorTestImpl v2_t = new SparseRealVectorTestImpl(vec2);

        RealVector v_append_1 = v1.append(v2);
        assertEquals("testData len", 6, v_append_1.getDimension());
        assertEquals("testData is 4.0 ", 4.0, v_append_1.getEntry(3));

        RealVector v_append_2 = v1.append(2.0);
        assertEquals("testData len", 4, v_append_2.getDimension());
        assertEquals("testData is 2.0 ", 2.0, v_append_2.getEntry(3));

        RealVector v_append_3 = v1.append(vec2);
        assertEquals("testData len", 6, v_append_3.getDimension());
        assertEquals("testData is  ", 4.0, v_append_3.getEntry(3));

        RealVector v_append_4 = v1.append(v2_t);
        assertEquals("testData len", 6, v_append_4.getDimension());
        assertEquals("testData is 4.0 ", 4.0, v_append_4.getEntry(3));

        RealVector vout5 = v4.getSubVector(3, 3);
        assertEquals("testData len", 3, vout5.getDimension());
        assertEquals("testData is 4.0 ", 5.0, vout5.getEntry(1));
        try {
            v4.getSubVector(3, 7);
            fail("MatrixIndexException expected");
        } catch (MatrixIndexException ex) {
            // expected behavior
        } catch (Exception e) {
            fail("wrong exception caught");
        }

        OpenMapRealVector v_set1 = v1.copy();
        v_set1.setEntry(1, 11.0);
        assertEquals("testData is 11.0 ", 11.0, v_set1.getEntry(1));
        try {
            v_set1.setEntry(3, 11.0);
            fail("MatrixIndexException expected");
        } catch (MatrixIndexException ex) {
            // expected behavior
        } catch (Exception e) {
            fail("wrong exception caught");
        }

        OpenMapRealVector v_set2 = v4.copy();
        v_set2.setSubVector(3, v1);
        assertEquals("testData is 1.0 ", 1.0, v_set2.getEntry(3));
        assertEquals("testData is 7.0 ", 7.0, v_set2.getEntry(6));
        try {
            v_set2.setSubVector(7, v1);
            fail("MatrixIndexException expected");
        } catch (MatrixIndexException ex) {
            // expected behavior
        } catch (Exception e) {
            fail("wrong exception caught");
        }

        OpenMapRealVector v_set3 = v1.copy();
        v_set3.set(13.0);
        assertEquals("testData is 13.0 ", 13.0, v_set3.getEntry(2));

        try {
            v_set3.getEntry(23);
            fail("MatrixIndexException expected");
        } catch (MatrixIndexException ex) {
            // expected behavior
        } catch (Exception e) {
            fail("wrong exception caught");
        }

        OpenMapRealVector v_set4 = v4.copy();
        v_set4.setSubVector(3, v2_t);
        assertEquals("testData is 1.0 ", 4.0, v_set4.getEntry(3));
        assertEquals("testData is 7.0 ", 7.0, v_set4.getEntry(6));
        try {
            v_set4.setSubVector(7, v2_t);
            fail("MatrixIndexException expected");
        } catch (MatrixIndexException ex) {
            // expected behavior
        } catch (Exception e) {
            fail("wrong exception caught");
        }


    }

    public void testMapFunctions() {
        OpenMapRealVector v1 = new OpenMapRealVector(vec1);

        //octave =  v1 .+ 2.0
        RealVector v_mapAdd = v1.mapAdd(2.0d);
        double[] result_mapAdd = {3d, 4d, 5d};
        assertClose("compare vectors" ,result_mapAdd,v_mapAdd.getData(),normTolerance);

        //octave =  v1 .+ 2.0
        RealVector v_mapAddToSelf = v1.copy();
        v_mapAddToSelf.mapAddToSelf(2.0d);
        double[] result_mapAddToSelf = {3d, 4d, 5d};
        assertClose("compare vectors" ,result_mapAddToSelf,v_mapAddToSelf.getData(),normTolerance);

        //octave =  v1 .- 2.0
        RealVector v_mapSubtract = v1.mapSubtract(2.0d);
        double[] result_mapSubtract = {-1d, 0d, 1d};
        assertClose("compare vectors" ,result_mapSubtract,v_mapSubtract.getData(),normTolerance);

        //octave =  v1 .- 2.0
        RealVector v_mapSubtractToSelf = v1.copy();
        v_mapSubtractToSelf.mapSubtractToSelf(2.0d);
        double[] result_mapSubtractToSelf = {-1d, 0d, 1d};
        assertClose("compare vectors" ,result_mapSubtractToSelf,v_mapSubtractToSelf.getData(),normTolerance);

        //octave =  v1 .* 2.0
        RealVector v_mapMultiply = v1.mapMultiply(2.0d);
        double[] result_mapMultiply = {2d, 4d, 6d};
        assertClose("compare vectors" ,result_mapMultiply,v_mapMultiply.getData(),normTolerance);

        //octave =  v1 .* 2.0
        RealVector v_mapMultiplyToSelf = v1.copy();
        v_mapMultiplyToSelf.mapMultiplyToSelf(2.0d);
        double[] result_mapMultiplyToSelf = {2d, 4d, 6d};
        assertClose("compare vectors" ,result_mapMultiplyToSelf,v_mapMultiplyToSelf.getData(),normTolerance);

        //octave =  v1 ./ 2.0
        RealVector v_mapDivide = v1.mapDivide(2.0d);
        double[] result_mapDivide = {.5d, 1d, 1.5d};
        assertClose("compare vectors" ,result_mapDivide,v_mapDivide.getData(),normTolerance);

        //octave =  v1 ./ 2.0
        RealVector v_mapDivideToSelf = v1.copy();
        v_mapDivideToSelf.mapDivideToSelf(2.0d);
        double[] result_mapDivideToSelf = {.5d, 1d, 1.5d};
        assertClose("compare vectors" ,result_mapDivideToSelf,v_mapDivideToSelf.getData(),normTolerance);

        //octave =  v1 .^ 2.0
        RealVector v_mapPow = v1.mapPow(2.0d);
        double[] result_mapPow = {1d, 4d, 9d};
        assertClose("compare vectors" ,result_mapPow,v_mapPow.getData(),normTolerance);

        //octave =  v1 .^ 2.0
        RealVector v_mapPowToSelf = v1.copy();
        v_mapPowToSelf.mapPowToSelf(2.0d);
        double[] result_mapPowToSelf = {1d, 4d, 9d};
        assertClose("compare vectors" ,result_mapPowToSelf,v_mapPowToSelf.getData(),normTolerance);

        //octave =  exp(v1)
        RealVector v_mapExp = v1.mapExp();
        double[] result_mapExp = {2.718281828459045e+00d,7.389056098930650e+00d, 2.008553692318767e+01d};
        assertClose("compare vectors" ,result_mapExp,v_mapExp.getData(),normTolerance);

        //octave =  exp(v1)
        RealVector v_mapExpToSelf = v1.copy();
        v_mapExpToSelf.mapExpToSelf();
        double[] result_mapExpToSelf = {2.718281828459045e+00d,7.389056098930650e+00d, 2.008553692318767e+01d};
        assertClose("compare vectors" ,result_mapExpToSelf,v_mapExpToSelf.getData(),normTolerance);


        //octave =  ???
        RealVector v_mapExpm1 = v1.mapExpm1();
        double[] result_mapExpm1 = {1.718281828459045d,6.38905609893065d, 19.085536923187668d};
        assertClose("compare vectors" ,result_mapExpm1,v_mapExpm1.getData(),normTolerance);

        //octave =  ???
        RealVector v_mapExpm1ToSelf = v1.copy();
        v_mapExpm1ToSelf.mapExpm1ToSelf();
        double[] result_mapExpm1ToSelf = {1.718281828459045d,6.38905609893065d, 19.085536923187668d};
        assertClose("compare vectors" ,result_mapExpm1ToSelf,v_mapExpm1ToSelf.getData(),normTolerance);

        //octave =  log(v1)
        RealVector v_mapLog = v1.mapLog();
        double[] result_mapLog = {0d,6.931471805599453e-01d, 1.098612288668110e+00d};
        assertClose("compare vectors" ,result_mapLog,v_mapLog.getData(),normTolerance);

        //octave =  log(v1)
        RealVector v_mapLogToSelf = v1.copy();
        v_mapLogToSelf.mapLogToSelf();
        double[] result_mapLogToSelf = {0d,6.931471805599453e-01d, 1.098612288668110e+00d};
        assertClose("compare vectors" ,result_mapLogToSelf,v_mapLogToSelf.getData(),normTolerance);

        //octave =  log10(v1)
        RealVector v_mapLog10 = v1.mapLog10();
        double[] result_mapLog10 = {0d,3.010299956639812e-01d, 4.771212547196624e-01d};
        assertClose("compare vectors" ,result_mapLog10,v_mapLog10.getData(),normTolerance);

        //octave =  log(v1)
        RealVector v_mapLog10ToSelf = v1.copy();
        v_mapLog10ToSelf.mapLog10ToSelf();
        double[] result_mapLog10ToSelf = {0d,3.010299956639812e-01d, 4.771212547196624e-01d};
        assertClose("compare vectors" ,result_mapLog10ToSelf,v_mapLog10ToSelf.getData(),normTolerance);

        //octave =  ???
        RealVector v_mapLog1p = v1.mapLog1p();
        double[] result_mapLog1p = {0.6931471805599453d,1.0986122886681096d,1.3862943611198906d};
        assertClose("compare vectors" ,result_mapLog1p,v_mapLog1p.getData(),normTolerance);

        //octave =  ???
        RealVector v_mapLog1pToSelf = v1.copy();
        v_mapLog1pToSelf.mapLog1pToSelf();
        double[] result_mapLog1pToSelf = {0.6931471805599453d,1.0986122886681096d,1.3862943611198906d};
        assertClose("compare vectors" ,result_mapLog1pToSelf,v_mapLog1pToSelf.getData(),normTolerance);

        //octave =  cosh(v1)
        RealVector v_mapCosh = v1.mapCosh();
        double[] result_mapCosh = {1.543080634815244e+00d,3.762195691083631e+00d, 1.006766199577777e+01d};
        assertClose("compare vectors" ,result_mapCosh,v_mapCosh.getData(),normTolerance);

        //octave =  cosh(v1)
        RealVector v_mapCoshToSelf = v1.copy();
        v_mapCoshToSelf.mapCoshToSelf();
        double[] result_mapCoshToSelf = {1.543080634815244e+00d,3.762195691083631e+00d, 1.006766199577777e+01d};
        assertClose("compare vectors" ,result_mapCoshToSelf,v_mapCoshToSelf.getData(),normTolerance);

        //octave =  sinh(v1)
        RealVector v_mapSinh = v1.mapSinh();
        double[] result_mapSinh = {1.175201193643801e+00d,3.626860407847019e+00d, 1.001787492740990e+01d};
        assertClose("compare vectors" ,result_mapSinh,v_mapSinh.getData(),normTolerance);

        //octave =  sinh(v1)
        RealVector v_mapSinhToSelf = v1.copy();
        v_mapSinhToSelf.mapSinhToSelf();
        double[] result_mapSinhToSelf = {1.175201193643801e+00d,3.626860407847019e+00d, 1.001787492740990e+01d};
        assertClose("compare vectors" ,result_mapSinhToSelf,v_mapSinhToSelf.getData(),normTolerance);

        //octave =  tanh(v1)
        RealVector v_mapTanh = v1.mapTanh();
        double[] result_mapTanh = {7.615941559557649e-01d,9.640275800758169e-01d,9.950547536867305e-01d};
        assertClose("compare vectors" ,result_mapTanh,v_mapTanh.getData(),normTolerance);

        //octave =  tanh(v1)
        RealVector v_mapTanhToSelf = v1.copy();
        v_mapTanhToSelf.mapTanhToSelf();
        double[] result_mapTanhToSelf = {7.615941559557649e-01d,9.640275800758169e-01d,9.950547536867305e-01d};
        assertClose("compare vectors" ,result_mapTanhToSelf,v_mapTanhToSelf.getData(),normTolerance);

        //octave =  cos(v1)
        RealVector v_mapCos = v1.mapCos();
        double[] result_mapCos = {5.403023058681398e-01d,-4.161468365471424e-01d, -9.899924966004454e-01d};
        assertClose("compare vectors" ,result_mapCos,v_mapCos.getData(),normTolerance);

        //octave =  cos(v1)
        RealVector v_mapCosToSelf = v1.copy();
        v_mapCosToSelf.mapCosToSelf();
        double[] result_mapCosToSelf = {5.403023058681398e-01d,-4.161468365471424e-01d, -9.899924966004454e-01d};
        assertClose("compare vectors" ,result_mapCosToSelf,v_mapCosToSelf.getData(),normTolerance);

        //octave =  sin(v1)
        RealVector v_mapSin = v1.mapSin();
        double[] result_mapSin = {8.414709848078965e-01d,9.092974268256817e-01d,1.411200080598672e-01d};
        assertClose("compare vectors" ,result_mapSin,v_mapSin.getData(),normTolerance);

        //octave =  sin(v1)
        RealVector v_mapSinToSelf = v1.copy();
        v_mapSinToSelf.mapSinToSelf();
        double[] result_mapSinToSelf = {8.414709848078965e-01d,9.092974268256817e-01d,1.411200080598672e-01d};
        assertClose("compare vectors" ,result_mapSinToSelf,v_mapSinToSelf.getData(),normTolerance);

        //octave =  tan(v1)
        RealVector v_mapTan = v1.mapTan();
        double[] result_mapTan = {1.557407724654902e+00d,-2.185039863261519e+00d,-1.425465430742778e-01d};
        assertClose("compare vectors" ,result_mapTan,v_mapTan.getData(),normTolerance);

        //octave =  tan(v1)
        RealVector v_mapTanToSelf = v1.copy();
        v_mapTanToSelf.mapTanToSelf();
        double[] result_mapTanToSelf = {1.557407724654902e+00d,-2.185039863261519e+00d,-1.425465430742778e-01d};
        assertClose("compare vectors" ,result_mapTanToSelf,v_mapTanToSelf.getData(),normTolerance);

        double[] vat_a = {0d, 0.5d, 1.0d};
        OpenMapRealVector vat = new OpenMapRealVector(vat_a);

        //octave =  acos(vat)
        RealVector v_mapAcos = vat.mapAcos();
        double[] result_mapAcos = {1.570796326794897e+00d,1.047197551196598e+00d, 0.0d};
        assertClose("compare vectors" ,result_mapAcos,v_mapAcos.getData(),normTolerance);

        //octave =  acos(vat)
        RealVector v_mapAcosToSelf = vat.copy();
        v_mapAcosToSelf.mapAcosToSelf();
        double[] result_mapAcosToSelf = {1.570796326794897e+00d,1.047197551196598e+00d, 0.0d};
        assertClose("compare vectors" ,result_mapAcosToSelf,v_mapAcosToSelf.getData(),normTolerance);

        //octave =  asin(vat)
        RealVector v_mapAsin = vat.mapAsin();
        double[] result_mapAsin = {0.0d,5.235987755982989e-01d,1.570796326794897e+00d};
        assertClose("compare vectors" ,result_mapAsin,v_mapAsin.getData(),normTolerance);

        //octave =  asin(vat)
        RealVector v_mapAsinToSelf = vat.copy();
        v_mapAsinToSelf.mapAsinToSelf();
        double[] result_mapAsinToSelf = {0.0d,5.235987755982989e-01d,1.570796326794897e+00d};
        assertClose("compare vectors" ,result_mapAsinToSelf,v_mapAsinToSelf.getData(),normTolerance);

        //octave =  atan(vat)
        RealVector v_mapAtan = vat.mapAtan();
        double[] result_mapAtan = {0.0d,4.636476090008061e-01d,7.853981633974483e-01d};
        assertClose("compare vectors" ,result_mapAtan,v_mapAtan.getData(),normTolerance);

        //octave =  atan(vat)
        RealVector v_mapAtanToSelf = vat.copy();
        v_mapAtanToSelf.mapAtanToSelf();
        double[] result_mapAtanToSelf = {0.0d,4.636476090008061e-01d,7.853981633974483e-01d};
        assertClose("compare vectors" ,result_mapAtanToSelf,v_mapAtanToSelf.getData(),normTolerance);

        //octave =  v1 .^-1
        RealVector v_mapInv = v1.mapInv();
        double[] result_mapInv = {1d,0.5d,3.333333333333333e-01d};
        assertClose("compare vectors" ,result_mapInv,v_mapInv.getData(),normTolerance);

        //octave =  v1 .^-1
        RealVector v_mapInvToSelf = v1.copy();
        v_mapInvToSelf.mapInvToSelf();
        double[] result_mapInvToSelf = {1d,0.5d,3.333333333333333e-01d};
        assertClose("compare vectors" ,result_mapInvToSelf,v_mapInvToSelf.getData(),normTolerance);

        double[] abs_a = {-1.0d, 0.0d, 1.0d};
        OpenMapRealVector abs_v = new OpenMapRealVector(abs_a);

        //octave =  abs(abs_v)
        RealVector v_mapAbs = abs_v.mapAbs();
        double[] result_mapAbs = {1d,0d,1d};
        assertClose("compare vectors" ,result_mapAbs,v_mapAbs.getData(),normTolerance);

        //octave = abs(abs_v)
        RealVector v_mapAbsToSelf = abs_v.copy();
        v_mapAbsToSelf.mapAbsToSelf();
        double[] result_mapAbsToSelf = {1d,0d,1d};
        assertClose("compare vectors" ,result_mapAbsToSelf,v_mapAbsToSelf.getData(),normTolerance);

        //octave =   sqrt(v1)
        RealVector v_mapSqrt = v1.mapSqrt();
        double[] result_mapSqrt = {1d,1.414213562373095e+00d,1.732050807568877e+00d};
        assertClose("compare vectors" ,result_mapSqrt,v_mapSqrt.getData(),normTolerance);

        //octave =  sqrt(v1)
        RealVector v_mapSqrtToSelf = v1.copy();
        v_mapSqrtToSelf.mapSqrtToSelf();
        double[] result_mapSqrtToSelf = {1d,1.414213562373095e+00d,1.732050807568877e+00d};
        assertClose("compare vectors" ,result_mapSqrtToSelf,v_mapSqrtToSelf.getData(),normTolerance);

        double[] cbrt_a = {-2.0d, 0.0d, 2.0d};
        OpenMapRealVector cbrt_v = new OpenMapRealVector(cbrt_a);

        //octave =  ???
        RealVector v_mapCbrt = cbrt_v.mapCbrt();
        double[] result_mapCbrt = {-1.2599210498948732d,0d,1.2599210498948732d};
        assertClose("compare vectors" ,result_mapCbrt,v_mapCbrt.getData(),normTolerance);

        //octave = ???
        RealVector v_mapCbrtToSelf = cbrt_v.copy();
        v_mapCbrtToSelf.mapCbrtToSelf();
        double[] result_mapCbrtToSelf =  {-1.2599210498948732d,0d,1.2599210498948732d};
        assertClose("compare vectors" ,result_mapCbrtToSelf,v_mapCbrtToSelf.getData(),normTolerance);

        double[] ceil_a = {-1.1d, 0.9d, 1.1d};
        OpenMapRealVector ceil_v = new OpenMapRealVector(ceil_a);

        //octave =  ceil(ceil_v)
        RealVector v_mapCeil = ceil_v.mapCeil();
        double[] result_mapCeil = {-1d,1d,2d};
        assertClose("compare vectors" ,result_mapCeil,v_mapCeil.getData(),normTolerance);

        //octave = ceil(ceil_v)
        RealVector v_mapCeilToSelf = ceil_v.copy();
        v_mapCeilToSelf.mapCeilToSelf();
        double[] result_mapCeilToSelf =  {-1d,1d,2d};
        assertClose("compare vectors" ,result_mapCeilToSelf,v_mapCeilToSelf.getData(),normTolerance);

        //octave =  floor(ceil_v)
        RealVector v_mapFloor = ceil_v.mapFloor();
        double[] result_mapFloor = {-2d,0d,1d};
        assertClose("compare vectors" ,result_mapFloor,v_mapFloor.getData(),normTolerance);

        //octave = floor(ceil_v)
        RealVector v_mapFloorToSelf = ceil_v.copy();
        v_mapFloorToSelf.mapFloorToSelf();
        double[] result_mapFloorToSelf =  {-2d,0d,1d};
        assertClose("compare vectors" ,result_mapFloorToSelf,v_mapFloorToSelf.getData(),normTolerance);

        //octave =  ???
        RealVector v_mapRint = ceil_v.mapRint();
        double[] result_mapRint = {-1d,1d,1d};
        assertClose("compare vectors" ,result_mapRint,v_mapRint.getData(),normTolerance);

        //octave = ???
        RealVector v_mapRintToSelf = ceil_v.copy();
        v_mapRintToSelf.mapRintToSelf();
        double[] result_mapRintToSelf =  {-1d,1d,1d};
        assertClose("compare vectors" ,result_mapRintToSelf,v_mapRintToSelf.getData(),normTolerance);

        //octave =  ???
        RealVector v_mapSignum = ceil_v.mapSignum();
        double[] result_mapSignum = {-1d,1d,1d};
        assertClose("compare vectors" ,result_mapSignum,v_mapSignum.getData(),normTolerance);

        //octave = ???
        RealVector v_mapSignumToSelf = ceil_v.copy();
        v_mapSignumToSelf.mapSignumToSelf();
        double[] result_mapSignumToSelf =  {-1d,1d,1d};
        assertClose("compare vectors" ,result_mapSignumToSelf,v_mapSignumToSelf.getData(),normTolerance);


        // Is with the used resolutions of limited value as test
        //octave =  ???
        RealVector v_mapUlp = ceil_v.mapUlp();
        double[] result_mapUlp = {2.220446049250313E-16d,1.1102230246251565E-16d,2.220446049250313E-16d};
        assertClose("compare vectors" ,result_mapUlp,v_mapUlp.getData(),normTolerance);

        //octave = ???
        RealVector v_mapUlpToSelf = ceil_v.copy();
        v_mapUlpToSelf.mapUlpToSelf();
        double[] result_mapUlpToSelf = {2.220446049250313E-16d,1.1102230246251565E-16d,2.220446049250313E-16d};
        assertClose("compare vectors" ,result_mapUlpToSelf,v_mapUlpToSelf.getData(),normTolerance);

    }

    public void testBasicFunctions() {
        OpenMapRealVector v1 = new OpenMapRealVector(vec1);
        OpenMapRealVector v2 = new OpenMapRealVector(vec2);
        OpenMapRealVector v5 = new OpenMapRealVector(vec5);
        OpenMapRealVector v_null = new OpenMapRealVector(vec_null);

        SparseRealVectorTestImpl v2_t = new SparseRealVectorTestImpl(vec2);

        // emacs calc: [-4, 0, 3, 1, -6, 3] A --> 8.4261497731763586307
        double d_getNorm = v5.getNorm();
        assertEquals("compare values  ", 8.4261497731763586307, d_getNorm);

        // emacs calc: [-4, 0, 3, 1, -6, 3] vN --> 17
        double d_getL1Norm = v5.getL1Norm();
        assertEquals("compare values  ", 17.0, d_getL1Norm);

        // emacs calc: [-4, 0, 3, 1, -6, 3] vn --> 6
        double d_getLInfNorm = v5.getLInfNorm();
        assertEquals("compare values  ", 6.0, d_getLInfNorm);

        //octave =  sqrt(sumsq(v1-v2))
        double dist = v1.getDistance(v2);
        assertEquals("compare values  ",v1.subtract(v2).getNorm(), dist );

        //octave =  sqrt(sumsq(v1-v2))
        double dist_2 = v1.getDistance(v2_t);
        assertEquals("compare values  ", v1.subtract(v2).getNorm(),dist_2 );

        //octave =  ???
        double d_getL1Distance = v1. getL1Distance(v2);
        assertEquals("compare values  ",9d, d_getL1Distance );

        double d_getL1Distance_2 = v1. getL1Distance(v2_t);
        assertEquals("compare values  ",9d, d_getL1Distance_2 );

        //octave =  ???
        double d_getLInfDistance = v1. getLInfDistance(v2);
        assertEquals("compare values  ",3d, d_getLInfDistance );

        double d_getLInfDistance_2 = v1. getLInfDistance(v2_t);
        assertEquals("compare values  ",3d, d_getLInfDistance_2 );

        //octave =  v1 + v2
        OpenMapRealVector v_add = v1.add(v2);
        double[] result_add = {5d, 7d, 9d};
        assertClose("compare vect" ,v_add.getData(),result_add,normTolerance);

        SparseRealVectorTestImpl vt2 = new SparseRealVectorTestImpl(vec2);
        RealVector v_add_i = v1.add(vt2);
        double[] result_add_i = {5d, 7d, 9d};
        assertClose("compare vect" ,v_add_i.getData(),result_add_i,normTolerance);

        //octave =  v1 - v2
        OpenMapRealVector v_subtract = v1.subtract(v2);
        double[] result_subtract = {-3d, -3d, -3d};
        assertClose("compare vect" ,v_subtract.getData(),result_subtract,normTolerance);

        RealVector v_subtract_i = v1.subtract(vt2);
        double[] result_subtract_i = {-3d, -3d, -3d};
        assertClose("compare vect" ,v_subtract_i.getData(),result_subtract_i,normTolerance);

        // octave v1 .* v2
        RealVector  v_ebeMultiply = v1.ebeMultiply(v2);
        double[] result_ebeMultiply = {4d, 10d, 18d};
        assertClose("compare vect" ,v_ebeMultiply.getData(),result_ebeMultiply,normTolerance);

        RealVector  v_ebeMultiply_2 = v1.ebeMultiply(v2_t);
        double[] result_ebeMultiply_2 = {4d, 10d, 18d};
        assertClose("compare vect" ,v_ebeMultiply_2.getData(),result_ebeMultiply_2,normTolerance);

        // octave v1 ./ v2
        RealVector  v_ebeDivide = v1.ebeDivide(v2);
        double[] result_ebeDivide = {0.25d, 0.4d, 0.5d};
        assertClose("compare vect" ,v_ebeDivide.getData(),result_ebeDivide,normTolerance);

        RealVector  v_ebeDivide_2 = v1.ebeDivide(v2_t);
        double[] result_ebeDivide_2 = {0.25d, 0.4d, 0.5d};
        assertClose("compare vect" ,v_ebeDivide_2.getData(),result_ebeDivide_2,normTolerance);

        // octave  dot(v1,v2)
        double dot =  v1.dotProduct(v2);
        assertEquals("compare val ",32d, dot);

        // octave  dot(v1,v2_t)
        double dot_2 =  v1.dotProduct(v2_t);
        assertEquals("compare val ",32d, dot_2);

        RealMatrix m_outerProduct = v1.outerProduct(v2);
        assertEquals("compare val ",4d, m_outerProduct.getEntry(0,0));

        RealMatrix m_outerProduct_2 = v1.outerProduct(v2_t);
        assertEquals("compare val ",4d, m_outerProduct_2.getEntry(0,0));

        RealVector v_unitVector = v1.unitVector();
        RealVector v_unitVector_2 = v1.mapDivide(v1.getNorm());
        assertClose("compare vect" ,v_unitVector.getData(),v_unitVector_2.getData(),normTolerance);

        try {
            v_null.unitVector();
            fail("Expecting ArithmeticException");
        } catch (ArithmeticException ex) {
            // expected behavior
        } catch (Exception e) {
            fail("wrong exception caught");
        }

        OpenMapRealVector v_unitize = v1.copy();
        v_unitize.unitize();
        assertClose("compare vect" ,v_unitVector_2.getData(),v_unitize.getData(),normTolerance);
        try {
            v_null.unitize();
            fail("Expecting ArithmeticException");
        } catch (ArithmeticException ex) {
            // expected behavior
        } catch (Exception e) {
            fail("wrong exception caught");
        }

        RealVector v_projection = v1.projection(v2);
        double[] result_projection = {1.662337662337662, 2.0779220779220777, 2.493506493506493};
        assertClose("compare vect", v_projection.getData(), result_projection, normTolerance);

        RealVector v_projection_2 = v1.projection(v2_t);
        double[] result_projection_2 = {1.662337662337662, 2.0779220779220777, 2.493506493506493};
        assertClose("compare vect", v_projection_2.getData(), result_projection_2, normTolerance);

    }

    public void testMisc() {
        OpenMapRealVector v1 = new OpenMapRealVector(vec1);

        String out1 = v1.toString();
        assertTrue("some output ",  out1.length()!=0);
        try {
            v1.checkVectorDimensions(2);
            fail("IllegalArgumentException expected");
        } catch (IllegalArgumentException ex) {
            // expected behavior
        } catch (Exception e) {
            fail("wrong exception caught");
        }


    }

    public void testPredicates() {

        OpenMapRealVector v = new OpenMapRealVector(new double[] { 0, 1, 2 });

        assertFalse(v.isNaN());
        v.setEntry(1, Double.NaN);
        assertTrue(v.isNaN());

        assertFalse(v.isInfinite());
        v.setEntry(0, Double.POSITIVE_INFINITY);
        assertFalse(v.isInfinite()); // NaN has higher priority than infinity
        v.setEntry(1, 1);
        assertTrue(v.isInfinite());

        v.setEntry(0, 0);
        assertEquals(v, new OpenMapRealVector(new double[] { 0, 1, 2 }));
        assertNotSame(v, new OpenMapRealVector(new double[] { 0, 1, 2 + Math.ulp(2)}));
        assertNotSame(v, new OpenMapRealVector(new double[] { 0, 1, 2, 3 }));

    }

    public void testSerial()  {
        OpenMapRealVector v = new OpenMapRealVector(new double[] { 0, 1, 2 });
        assertEquals(v,TestUtils.serializeAndRecover(v));
    }

    /** verifies that two vectors are close (sup norm) */
    protected void assertClose(String msg, double[] m, double[] n,
            double tolerance) {
        if (m.length != n.length) {
            fail("vectors have different lengths");
        }
        for (int i = 0; i < m.length; i++) {
            assertEquals(msg + " " +  i + " elements differ", m[i],n[i],tolerance);
        }
    }

}

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