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Posted to commits@commons.apache.org by lu...@apache.org on 2008/07/27 21:15:22 UTC

svn commit: r680166 [3/3] - in /commons/proper/math/branches/MATH_2_0: ./ src/java/org/apache/commons/math/linear/ src/site/xdoc/ src/test/org/apache/commons/math/linear/

Added: commons/proper/math/branches/MATH_2_0/src/test/org/apache/commons/math/linear/RealVectorImplTest.java
URL: http://svn.apache.org/viewvc/commons/proper/math/branches/MATH_2_0/src/test/org/apache/commons/math/linear/RealVectorImplTest.java?rev=680166&view=auto
==============================================================================
--- commons/proper/math/branches/MATH_2_0/src/test/org/apache/commons/math/linear/RealVectorImplTest.java (added)
+++ commons/proper/math/branches/MATH_2_0/src/test/org/apache/commons/math/linear/RealVectorImplTest.java Sun Jul 27 12:15:22 2008
@@ -0,0 +1,1137 @@
+/*
+ * 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 junit.framework.Test;
+import junit.framework.TestCase;
+import junit.framework.TestSuite;
+
+/**
+ * Test cases for the {@link RealVectorImpl} class.
+ *
+ * @version $Revision$ $Date$
+ */
+public class RealVectorImplTest 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[] 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 class RealVectorTestImpl implements RealVector, Serializable {
+
+        /** Serializable version identifier. */
+        private static final long serialVersionUID = 8731816072271374422L;
+
+        /** Entries of the vector. */
+        protected double data[];
+
+        public RealVectorTestImpl(double[] d) {
+            data = d.clone();
+        }
+
+        private UnsupportedOperationException unsupported() {
+            return new UnsupportedOperationException("Not supported, unneeded for test purposes");
+        }
+
+        public RealVector copy() {
+            throw unsupported();
+        }
+
+        public RealVector add(RealVector v) throws IllegalArgumentException {
+            throw unsupported();
+        }
+
+        public RealVector subtract(RealVector v) throws IllegalArgumentException {
+            throw unsupported();
+        }
+
+        public RealVector mapAdd(double d) {
+            throw unsupported();
+        }
+
+        public RealVector mapAddToSelf(double d) {
+            throw unsupported();
+        }
+
+        public RealVector mapSubtract(double d) {
+            throw unsupported();
+        }
+
+        public RealVector mapSubtractToSelf(double d) {
+            throw unsupported();
+        }
+
+        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 RealVectorImpl(out);
+        }
+
+        public RealVector mapMultiplyToSelf(double d) {
+            throw unsupported();
+        }
+
+        public RealVector mapDivide(double d) {
+            throw unsupported();
+        }
+
+        public RealVector mapDivideToSelf(double d) {
+            throw unsupported();
+        }
+
+        public RealVector mapPow(double d) {
+            throw unsupported();
+        }
+
+        public RealVector mapPowToSelf(double d) {
+            throw unsupported();
+        }
+
+        public RealVector mapExp() {
+            throw unsupported();
+        }
+
+        public RealVector mapExpToSelf() {
+            throw unsupported();
+        }
+
+        public RealVector mapExpm1() {
+            throw unsupported();
+        }
+
+        public RealVector mapExpm1ToSelf() {
+            throw unsupported();
+        }
+
+        public RealVector mapLog() {
+            throw unsupported();
+        }
+
+        public RealVector mapLogToSelf() {
+            throw unsupported();
+        }
+
+        public RealVector mapLog10() {
+            throw unsupported();
+        }
+
+        public RealVector mapLog10ToSelf() {
+            throw unsupported();
+        }
+
+        public RealVector mapLog1p() {
+            throw unsupported();
+        }
+
+        public RealVector mapLog1pToSelf() {
+            throw unsupported();
+        }
+
+        public RealVector mapCosh() {
+            throw unsupported();
+        }
+
+        public RealVector mapCoshToSelf() {
+            throw unsupported();
+        }
+
+        public RealVector mapSinh() {
+            throw unsupported();
+        }
+
+        public RealVector mapSinhToSelf() {
+            throw unsupported();
+        }
+
+        public RealVector mapTanh() {
+            throw unsupported();
+        }
+
+        public RealVector mapTanhToSelf() {
+            throw unsupported();
+        }
+
+        public RealVector mapCos() {
+            throw unsupported();
+        }
+
+        public RealVector mapCosToSelf() {
+            throw unsupported();
+        }
+
+        public RealVector mapSin() {
+            throw unsupported();
+        }
+
+        public RealVector mapSinToSelf() {
+            throw unsupported();
+        }
+
+        public RealVector mapTan() {
+            throw unsupported();
+        }
+
+        public RealVector mapTanToSelf() {
+            throw unsupported();
+        }
+
+        public RealVector mapAcos() {
+            throw unsupported();
+        }
+
+        public RealVector mapAcosToSelf() {
+            throw unsupported();
+        }
+
+        public RealVector mapAsin() {
+            throw unsupported();
+        }
+
+        public RealVector mapAsinToSelf() {
+            throw unsupported();
+        }
+
+        public RealVector mapAtan() {
+            throw unsupported();
+        }
+
+        public RealVector mapAtanToSelf() {
+            throw unsupported();
+        }
+
+        public RealVector mapInv() {
+            throw unsupported();
+        }
+
+        public RealVector mapInvToSelf() {
+            throw unsupported();
+        }
+
+        public RealVector mapAbs() {
+            throw unsupported();
+        }
+
+        public RealVector mapAbsToSelf() {
+            throw unsupported();
+        }
+
+        public RealVector mapSqrt() {
+            throw unsupported();
+        }
+
+        public RealVector mapSqrtToSelf() {
+            throw unsupported();
+        }
+
+        public RealVector mapCbrt() {
+            throw unsupported();
+        }
+
+        public RealVector mapCbrtToSelf() {
+            throw unsupported();
+        }
+
+        public RealVector mapCeil() {
+            throw unsupported();
+        }
+
+        public RealVector mapCeilToSelf() {
+            throw unsupported();
+        }
+
+        public RealVector mapFloor() {
+            throw unsupported();
+        }
+
+        public RealVector mapFloorToSelf() {
+            throw unsupported();
+        }
+
+        public RealVector mapRint() {
+            throw unsupported();
+        }
+
+        public RealVector mapRintToSelf() {
+            throw unsupported();
+        }
+
+        public RealVector mapSignum() {
+            throw unsupported();
+        }
+
+        public RealVector mapSignumToSelf() {
+            throw unsupported();
+        }
+
+        public RealVector mapUlp() {
+            throw unsupported();
+        }
+
+        public RealVector mapUlpToSelf() {
+            throw unsupported();
+        }
+
+        public RealVector ebeMultiply(RealVector v) throws IllegalArgumentException {
+            throw unsupported();
+        }
+
+        public RealVector ebeDivide(RealVector v) throws IllegalArgumentException {
+            throw unsupported();
+        }
+
+        public double[] getData() {
+            throw unsupported();
+        }
+
+        public double dotProduct(RealVector v) throws IllegalArgumentException {
+
+            //	checkVectorDimensions(v);
+            double dot = 0;
+            for (int i = 0; i < data.length; i++) {
+                dot += data[i] * v.getEntry(i);
+            }
+            return dot;
+        }
+
+        public double getNorm() {
+            throw unsupported();
+        }
+
+        public double getL1Norm() {
+            throw unsupported();
+        }
+
+        public double getLInfNorm() {
+            throw unsupported();
+        }
+
+        public double getDistance(RealVector v) throws IllegalArgumentException {
+            throw unsupported();
+        }
+
+        public double getL1Distance(RealVector v) throws IllegalArgumentException {
+            throw unsupported();
+        }
+
+        public double getLInfDistance(RealVector v) throws IllegalArgumentException {
+            throw unsupported();
+        }
+
+        public RealVector unitVector() {
+            throw unsupported();
+        }
+
+        public void unitize() {
+            throw unsupported();
+        }
+
+        public RealVector projection(RealVector v) throws IllegalArgumentException {
+            throw unsupported();
+        }
+
+        public RealMatrix outerProduct(RealVector 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 get(int index, int n) throws MatrixIndexException {
+            throw unsupported();
+        }
+
+        public void set(int index, double value) throws MatrixIndexException {
+            throw unsupported();
+        }
+
+        public void set(int index, RealVector v) throws MatrixIndexException {
+            throw unsupported();
+        }
+
+        public void set(double value) {
+            throw unsupported();
+        }
+
+        public double[] toArray() {
+            throw unsupported();
+        }
+
+        public boolean isNaN() {
+            throw unsupported();
+        }
+
+        public boolean isInfinite() {
+            throw unsupported();
+        }
+
+    }
+
+    public static Test suite() {
+        TestSuite suite = new TestSuite(RealVectorImplTest.class);
+        suite.setName("RealVectorImpl Tests");
+        return suite;
+    }
+
+    public void testConstructors() {
+
+        RealVectorImpl v0 = new RealVectorImpl();
+        assertEquals("testData len", 0, v0.getDimension());
+
+        RealVectorImpl v1 = new RealVectorImpl(7);
+        assertEquals("testData len", 7, v1.getDimension());
+        assertEquals("testData is 0.0 ", 0.0, v1.getEntry(6));
+
+        RealVectorImpl v2 = new RealVectorImpl(5, 1.23);
+        assertEquals("testData len", 5, v2.getDimension());
+        assertEquals("testData is 1.23 ", 1.23, v2.getEntry(4));
+
+        RealVectorImpl v3 = new RealVectorImpl(vec1);
+        assertEquals("testData len", 3, v3.getDimension());
+        assertEquals("testData is 2.0 ", 2.0, v3.getEntry(1));
+
+        RealVectorImpl v4 = new RealVectorImpl(vec4, 3, 2);
+        assertEquals("testData len", 2, v4.getDimension());
+        assertEquals("testData is 4.0 ", 4.0, v4.getEntry(0));
+        try {
+            new RealVectorImpl(vec4, 8, 3);
+            fail("IllegalArgumentException expected");
+        } catch (IllegalArgumentException ex) {
+            // expected behavior
+        } catch (Exception e) {
+            fail("wrong exception caught");
+        }
+
+        RealVector v5_i = new RealVectorImpl(dvec1);
+        assertEquals("testData len", 9, v5_i.getDimension());
+        assertEquals("testData is 9.0 ", 9.0, v5_i.getEntry(8));
+
+        RealVectorImpl v5 = new RealVectorImpl(dvec1);
+        assertEquals("testData len", 9, v5.getDimension());
+        assertEquals("testData is 9.0 ", 9.0, v5.getEntry(8));
+
+        RealVectorImpl v6 = new RealVectorImpl(dvec1, 3, 2);
+        assertEquals("testData len", 2, v6.getDimension());
+        assertEquals("testData is 4.0 ", 4.0, v6.getEntry(0));
+        try {
+            new RealVectorImpl(dvec1, 8, 3);
+            fail("IllegalArgumentException expected");
+        } catch (IllegalArgumentException ex) {
+            // expected behavior
+        } catch (Exception e) {
+            fail("wrong exception caught");
+        }
+
+        RealVectorImpl v7 = new RealVectorImpl(v1);
+        assertEquals("testData len", 7, v7.getDimension());
+        assertEquals("testData is 0.0 ", 0.0, v7.getEntry(6));
+
+        RealVectorTestImpl v7_i = new RealVectorTestImpl(vec1);
+
+        RealVectorImpl v7_2 = new RealVectorImpl(v7_i);
+        assertEquals("testData len", 3, v7_2.getDimension());
+        assertEquals("testData is 0.0 ", 2.0d, v7_2.getEntry(1));
+
+        RealVectorImpl v8 = new RealVectorImpl(v1, true);
+        assertEquals("testData len", 7, v8.getDimension());
+        assertEquals("testData is 0.0 ", 0.0, v8.getEntry(6));
+        assertNotSame("testData not same object ", v1.data, v8.data);
+
+        RealVectorImpl v8_2 = new RealVectorImpl(v1, false);
+        assertEquals("testData len", 7, v8_2.getDimension());
+        assertEquals("testData is 0.0 ", 0.0, v8_2.getEntry(6));
+        assertEquals("testData same object ", v1.data, v8_2.data);
+
+        RealVectorImpl v9 = new RealVectorImpl(v1, v3);
+        assertEquals("testData len", 10, v9.getDimension());
+        assertEquals("testData is 1.0 ", 1.0, v9.getEntry(7));
+
+    }
+
+    public void testDataInOut() {
+
+        RealVectorImpl v1 = new RealVectorImpl(vec1);
+        RealVectorImpl v2 = new RealVectorImpl(vec2);
+        RealVectorImpl v4 = new RealVectorImpl(vec4);
+        RealVectorTestImpl v2_t = new RealVectorTestImpl(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 v_copy = v1.copy();
+        assertEquals("testData len", 3, v_copy.getDimension());
+        assertNotSame("testData not same object ", v1.data, v_copy.getData());
+
+        double[] a_double = v1.toArray();
+        assertEquals("testData len", 3, a_double.length);
+        assertNotSame("testData not same object ", v1.data, a_double);
+
+
+//      RealVectorImpl vout4 = (RealVectorImpl) v1.clone();
+//      assertEquals("testData len", 3, vout4.getDimension());
+//      assertEquals("testData not same object ", v1.data, vout4.data);
+
+
+        RealVector vout5 = v4.get(3, 3);
+        assertEquals("testData len", 3, vout5.getDimension());
+        assertEquals("testData is 4.0 ", 5.0, vout5.getEntry(1));
+        try {
+            v4.get(3, 7);
+            fail("MatrixIndexException expected");
+        } catch (MatrixIndexException ex) {
+            // expected behavior
+        } catch (Exception e) {
+            fail("wrong exception caught");
+        }
+
+        RealVectorImpl v_set1 = (RealVectorImpl) v1.copy();
+        v_set1.set(1, 11.0);
+        assertEquals("testData is 11.0 ", 11.0, v_set1.getEntry(1));
+        try {
+            v_set1.set(3, 11.0);
+            fail("MatrixIndexException expected");
+        } catch (MatrixIndexException ex) {
+            // expected behavior
+        } catch (Exception e) {
+            fail("wrong exception caught");
+        }
+
+        RealVectorImpl v_set2 = (RealVectorImpl) v4.copy();
+        v_set2.set(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.set(7, v1);
+            fail("MatrixIndexException expected");
+        } catch (MatrixIndexException ex) {
+            // expected behavior
+        } catch (Exception e) {
+            fail("wrong exception caught");
+        }
+
+        RealVectorImpl v_set3 = (RealVectorImpl) v1.copy();
+        v_set3.set(13.0);
+        assertEquals("testData is 13.0 ", 13.0, v_set3.getEntry(2));
+
+        try {
+            v_set3.getEntry(23);
+            fail("ArrayIndexOutOfBoundsException expected");
+        } catch (ArrayIndexOutOfBoundsException ex) {
+            // expected behavior
+        } catch (Exception e) {
+            fail("wrong exception caught");
+        }
+
+        RealVectorImpl v_set4 = (RealVectorImpl) v4.copy();
+        v_set4.set(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.set(7, v2_t);
+            fail("MatrixIndexException expected");
+        } catch (MatrixIndexException ex) {
+            // expected behavior
+        } catch (Exception e) {
+            fail("wrong exception caught");
+        }
+
+
+        RealVectorImpl vout10 = (RealVectorImpl) v1.copy();       
+        RealVectorImpl vout10_2 = (RealVectorImpl) v1.copy();
+        assertEquals(vout10, vout10_2);
+        vout10_2.set(0, 1.1);
+        assertNotSame(vout10, vout10_2);
+
+    }
+
+    public void testMapFunctions() { 
+        RealVectorImpl v1 = new RealVectorImpl(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};
+        RealVectorImpl vat = new RealVectorImpl(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};
+        RealVectorImpl abs_v = new RealVectorImpl(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};
+        RealVectorImpl cbrt_v = new RealVectorImpl(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};
+        RealVectorImpl ceil_v = new RealVectorImpl(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() { 
+        RealVectorImpl v1 = new RealVectorImpl(vec1);
+        RealVectorImpl v2 = new RealVectorImpl(vec2);
+        RealVectorImpl v_null = new RealVectorImpl(vec_null);
+
+        RealVectorTestImpl v2_t = new RealVectorTestImpl(vec2); 
+
+        //octave =  sqrt(sumsq(v1))
+        double d_getNorm = v1.getNorm();
+        assertEquals("compare values  ", 3.7416573867739413,d_getNorm);
+
+        double d_getL1Norm = v1.getL1Norm();
+        assertEquals("compare values  ",6.0, d_getL1Norm);
+
+        double d_getLInfNorm = v1.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
+        RealVectorImpl v_add = v1.add(v2);
+        double[] result_add = {5d, 7d, 9d};
+        assertClose("compare vect" ,v_add.getData(),result_add,normTolerance);
+
+        RealVectorTestImpl vt2 = new RealVectorTestImpl(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
+        RealVectorImpl 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
+        RealVectorImpl  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
+        RealVectorImpl  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);
+
+        RealMatrixImpl 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");
+        }
+
+        RealVectorImpl v_unitize = (RealVectorImpl)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");
+        }
+
+        RealVectorImpl 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() { 
+        RealVectorImpl v1 = new RealVectorImpl(vec1);
+        RealVectorImpl v4 = new RealVectorImpl(vec4);
+        RealVector v4_2 = new RealVectorImpl(vec4);
+
+        String out1 = v1.toString();
+        assertTrue("some output ",  out1.length()!=0);
+        /*    
+         double[] dout1 = v1.copyOut();
+        assertEquals("testData len", 3, dout1.length);
+        assertNotSame("testData not same object ", v1.data, dout1);   
+         */      
+        try {
+            v1.checkVectorDimensions(2); 
+            fail("IllegalArgumentException expected");
+        } catch (IllegalArgumentException ex) {
+            // expected behavior
+        } catch (Exception e) {
+            fail("wrong exception caught");
+        } 
+
+       try {
+            v1.checkVectorDimensions(v4); 
+            fail("IllegalArgumentException expected");
+        } catch (IllegalArgumentException ex) {
+            // expected behavior
+        } catch (Exception e) {
+            fail("wrong exception caught");
+        }        
+
+        try {
+            v1.checkVectorDimensions(v4_2); 
+            fail("IllegalArgumentException expected");
+        } catch (IllegalArgumentException ex) {
+            // expected behavior
+        } catch (Exception e) {
+            fail("wrong exception caught");
+        }        
+
+    }
+
+    public void testPredicates() {
+
+        RealVectorImpl v = new RealVectorImpl(new double[] { 0, 1, 2 });
+
+        assertFalse(v.isNaN());
+        v.set(1, Double.NaN);
+        assertTrue(v.isNaN());
+
+        assertFalse(v.isInfinite());
+        v.set(0, Double.POSITIVE_INFINITY);
+        assertFalse(v.isInfinite());
+        v.set(1, 1);
+        assertTrue(v.isInfinite());
+
+        v.set(0, 0);
+        assertEquals(v, new RealVectorImpl(new double[] { 0, 1, 2 }));
+        assertNotSame(v, new RealVectorImpl(new double[] { 0, 1, 2 + Math.ulp(2)}));
+        assertNotSame(v, new RealVectorImpl(new double[] { 0, 1, 2, 3 }));
+
+        assertEquals(new RealVectorImpl(new double[] { Double.NaN, 1, 2 }).hashCode(),
+                     new RealVectorImpl(new double[] { 0, Double.NaN, 2 }).hashCode());
+
+        assertTrue(new RealVectorImpl(new double[] { Double.NaN, 1, 2 }).hashCode() !=
+                   new RealVectorImpl(new double[] { 0, 1, 2 }).hashCode());
+
+    }
+
+    /** 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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