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From l..@apache.org
Subject svn commit: r857558 [9/39] - in /websites/production/commons/content/proper/commons-math/testapidocs/src-html/org/apache/commons/math3: ./ analysis/ analysis/differentiation/ analysis/interpolation/ complex/ dfp/ distribution/ distribution/fitting/ exc...
Date Sat, 06 Apr 2013 23:42:02 GMT
Added: websites/production/commons/content/proper/commons-math/testapidocs/src-html/org/apache/commons/math3/geometry/euclidean/threed/FieldVector3DTest.html
==============================================================================
--- websites/production/commons/content/proper/commons-math/testapidocs/src-html/org/apache/commons/math3/geometry/euclidean/threed/FieldVector3DTest.html (added)
+++ websites/production/commons/content/proper/commons-math/testapidocs/src-html/org/apache/commons/math3/geometry/euclidean/threed/FieldVector3DTest.html Sat Apr  6 23:42:01 2013
@@ -0,0 +1,796 @@
+<HTML>
+<BODY BGCOLOR="white">
+<PRE>
+<FONT color="green">001</FONT>    /*<a name="line.1"></a>
+<FONT color="green">002</FONT>     * Licensed to the Apache Software Foundation (ASF) under one or more<a name="line.2"></a>
+<FONT color="green">003</FONT>     * contributor license agreements.  See the NOTICE file distributed with<a name="line.3"></a>
+<FONT color="green">004</FONT>     * this work for additional information regarding copyright ownership.<a name="line.4"></a>
+<FONT color="green">005</FONT>     * The ASF licenses this file to You under the Apache License, Version 2.0<a name="line.5"></a>
+<FONT color="green">006</FONT>     * (the "License"); you may not use this file except in compliance with<a name="line.6"></a>
+<FONT color="green">007</FONT>     * the License.  You may obtain a copy of the License at<a name="line.7"></a>
+<FONT color="green">008</FONT>     *<a name="line.8"></a>
+<FONT color="green">009</FONT>     *      http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a>
+<FONT color="green">010</FONT>     *<a name="line.10"></a>
+<FONT color="green">011</FONT>     * Unless required by applicable law or agreed to in writing, software<a name="line.11"></a>
+<FONT color="green">012</FONT>     * distributed under the License is distributed on an "AS IS" BASIS,<a name="line.12"></a>
+<FONT color="green">013</FONT>     * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.<a name="line.13"></a>
+<FONT color="green">014</FONT>     * See the License for the specific language governing permissions and<a name="line.14"></a>
+<FONT color="green">015</FONT>     * limitations under the License.<a name="line.15"></a>
+<FONT color="green">016</FONT>     */<a name="line.16"></a>
+<FONT color="green">017</FONT>    <a name="line.17"></a>
+<FONT color="green">018</FONT>    package org.apache.commons.math3.geometry.euclidean.threed;<a name="line.18"></a>
+<FONT color="green">019</FONT>    <a name="line.19"></a>
+<FONT color="green">020</FONT>    import java.text.DecimalFormat;<a name="line.20"></a>
+<FONT color="green">021</FONT>    import java.text.DecimalFormatSymbols;<a name="line.21"></a>
+<FONT color="green">022</FONT>    import java.text.NumberFormat;<a name="line.22"></a>
+<FONT color="green">023</FONT>    import java.util.Locale;<a name="line.23"></a>
+<FONT color="green">024</FONT>    <a name="line.24"></a>
+<FONT color="green">025</FONT>    import org.apache.commons.math3.analysis.differentiation.DerivativeStructure;<a name="line.25"></a>
+<FONT color="green">026</FONT>    import org.apache.commons.math3.exception.DimensionMismatchException;<a name="line.26"></a>
+<FONT color="green">027</FONT>    import org.apache.commons.math3.exception.MathArithmeticException;<a name="line.27"></a>
+<FONT color="green">028</FONT>    import org.apache.commons.math3.random.Well1024a;<a name="line.28"></a>
+<FONT color="green">029</FONT>    import org.apache.commons.math3.util.FastMath;<a name="line.29"></a>
+<FONT color="green">030</FONT>    import org.apache.commons.math3.util.Precision;<a name="line.30"></a>
+<FONT color="green">031</FONT>    import org.junit.Assert;<a name="line.31"></a>
+<FONT color="green">032</FONT>    import org.junit.Test;<a name="line.32"></a>
+<FONT color="green">033</FONT>    <a name="line.33"></a>
+<FONT color="green">034</FONT>    public class FieldVector3DTest {<a name="line.34"></a>
+<FONT color="green">035</FONT>    <a name="line.35"></a>
+<FONT color="green">036</FONT>        @Test<a name="line.36"></a>
+<FONT color="green">037</FONT>        public void testConstructors() throws DimensionMismatchException {<a name="line.37"></a>
+<FONT color="green">038</FONT>            double cosAlpha = 1 / 2.0;<a name="line.38"></a>
+<FONT color="green">039</FONT>            double sinAlpha = FastMath.sqrt(3) / 2.0;<a name="line.39"></a>
+<FONT color="green">040</FONT>            double cosDelta = FastMath.sqrt(2) / 2.0;<a name="line.40"></a>
+<FONT color="green">041</FONT>            double sinDelta = -FastMath.sqrt(2) / 2.0;<a name="line.41"></a>
+<FONT color="green">042</FONT>            FieldVector3D&lt;DerivativeStructure&gt; u = new FieldVector3D&lt;DerivativeStructure&gt;(2,<a name="line.42"></a>
+<FONT color="green">043</FONT>                    new FieldVector3D&lt;DerivativeStructure&gt;(new DerivativeStructure(2, 1, 0,  FastMath.PI / 3),<a name="line.43"></a>
+<FONT color="green">044</FONT>                            new DerivativeStructure(2, 1, 1, -FastMath.PI / 4)));<a name="line.44"></a>
+<FONT color="green">045</FONT>            checkVector(u, 2 * cosAlpha * cosDelta, 2 * sinAlpha * cosDelta, 2 * sinDelta);<a name="line.45"></a>
+<FONT color="green">046</FONT>            Assert.assertEquals(-2 * sinAlpha * cosDelta, u.getX().getPartialDerivative(1, 0), 1.0e-12);<a name="line.46"></a>
+<FONT color="green">047</FONT>            Assert.assertEquals(+2 * cosAlpha * cosDelta, u.getY().getPartialDerivative(1, 0), 1.0e-12);<a name="line.47"></a>
+<FONT color="green">048</FONT>            Assert.assertEquals(0,                        u.getZ().getPartialDerivative(1, 0), 1.0e-12);<a name="line.48"></a>
+<FONT color="green">049</FONT>            Assert.assertEquals(-2 * cosAlpha * sinDelta, u.getX().getPartialDerivative(0, 1), 1.0e-12);<a name="line.49"></a>
+<FONT color="green">050</FONT>            Assert.assertEquals(-2 * sinAlpha * sinDelta, u.getY().getPartialDerivative(0, 1), 1.0e-12);<a name="line.50"></a>
+<FONT color="green">051</FONT>            Assert.assertEquals(2 * cosDelta,             u.getZ().getPartialDerivative(0, 1), 1.0e-12);<a name="line.51"></a>
+<FONT color="green">052</FONT>    <a name="line.52"></a>
+<FONT color="green">053</FONT>            checkVector(new FieldVector3D&lt;DerivativeStructure&gt;(2, createVector(1, 0,  0, 3)),<a name="line.53"></a>
+<FONT color="green">054</FONT>                                       2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2);<a name="line.54"></a>
+<FONT color="green">055</FONT>            checkVector(new FieldVector3D&lt;DerivativeStructure&gt;(new DerivativeStructure(4, 1, 3,  2.0),<a name="line.55"></a>
+<FONT color="green">056</FONT>                                       createVector(1, 0,  0, 4)),<a name="line.56"></a>
+<FONT color="green">057</FONT>                                       2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0);<a name="line.57"></a>
+<FONT color="green">058</FONT>            checkVector(new FieldVector3D&lt;DerivativeStructure&gt;(new DerivativeStructure(4, 1, 3,  2.0),<a name="line.58"></a>
+<FONT color="green">059</FONT>                                       new Vector3D(1, 0,  0)),<a name="line.59"></a>
+<FONT color="green">060</FONT>                                       2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0);<a name="line.60"></a>
+<FONT color="green">061</FONT>    <a name="line.61"></a>
+<FONT color="green">062</FONT>            checkVector(new FieldVector3D&lt;DerivativeStructure&gt;(2, createVector(1, 0,  0, 3),<a name="line.62"></a>
+<FONT color="green">063</FONT>                                       -3, createVector(0, 0, -1, 3)),<a name="line.63"></a>
+<FONT color="green">064</FONT>                                       2, 0, 3, -1, 0, 0, 0, -1, 0, 0, 0, -1);<a name="line.64"></a>
+<FONT color="green">065</FONT>            checkVector(new FieldVector3D&lt;DerivativeStructure&gt;(new DerivativeStructure(4, 1, 3,  2.0),<a name="line.65"></a>
+<FONT color="green">066</FONT>                                       createVector(1, 0,  0, 4),<a name="line.66"></a>
+<FONT color="green">067</FONT>                                       new DerivativeStructure(4, 1, 3, -3.0),<a name="line.67"></a>
+<FONT color="green">068</FONT>                                       createVector(0, 0, -1, 4)),<a name="line.68"></a>
+<FONT color="green">069</FONT>                                       2, 0, 3, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, -1);<a name="line.69"></a>
+<FONT color="green">070</FONT>            checkVector(new FieldVector3D&lt;DerivativeStructure&gt;(new DerivativeStructure(4, 1, 3,  2.0),<a name="line.70"></a>
+<FONT color="green">071</FONT>                                       new Vector3D(1, 0,  0),<a name="line.71"></a>
+<FONT color="green">072</FONT>                                       new DerivativeStructure(4, 1, 3, -3.0),<a name="line.72"></a>
+<FONT color="green">073</FONT>                                       new Vector3D(0, 0, -1)),<a name="line.73"></a>
+<FONT color="green">074</FONT>                                       2, 0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1);<a name="line.74"></a>
+<FONT color="green">075</FONT>    <a name="line.75"></a>
+<FONT color="green">076</FONT>            checkVector(new FieldVector3D&lt;DerivativeStructure&gt;(2, createVector(1, 0, 0, 3),<a name="line.76"></a>
+<FONT color="green">077</FONT>                                       5, createVector(0, 1, 0, 3),<a name="line.77"></a>
+<FONT color="green">078</FONT>                                       -3, createVector(0, 0, -1, 3)),<a name="line.78"></a>
+<FONT color="green">079</FONT>                                       2, 5, 3, 4, 0, 0, 0, 4, 0, 0, 0, 4);<a name="line.79"></a>
+<FONT color="green">080</FONT>            checkVector(new FieldVector3D&lt;DerivativeStructure&gt;(new DerivativeStructure(4, 1, 3,  2.0),<a name="line.80"></a>
+<FONT color="green">081</FONT>                                       createVector(1, 0,  0, 4),<a name="line.81"></a>
+<FONT color="green">082</FONT>                                       new DerivativeStructure(4, 1, 3,  5.0),<a name="line.82"></a>
+<FONT color="green">083</FONT>                                       createVector(0, 1,  0, 4),<a name="line.83"></a>
+<FONT color="green">084</FONT>                                       new DerivativeStructure(4, 1, 3, -3.0),<a name="line.84"></a>
+<FONT color="green">085</FONT>                                       createVector(0, 0, -1, 4)),<a name="line.85"></a>
+<FONT color="green">086</FONT>                                       2, 5, 3, 4, 0, 0, 1, 0, 4, 0, 1, 0, 0, 4, -1);<a name="line.86"></a>
+<FONT color="green">087</FONT>            checkVector(new FieldVector3D&lt;DerivativeStructure&gt;(new DerivativeStructure(4, 1, 3,  2.0),<a name="line.87"></a>
+<FONT color="green">088</FONT>                                       new Vector3D(1, 0,  0),<a name="line.88"></a>
+<FONT color="green">089</FONT>                                       new DerivativeStructure(4, 1, 3,  5.0),<a name="line.89"></a>
+<FONT color="green">090</FONT>                                       new Vector3D(0, 1,  0),<a name="line.90"></a>
+<FONT color="green">091</FONT>                                       new DerivativeStructure(4, 1, 3, -3.0),<a name="line.91"></a>
+<FONT color="green">092</FONT>                                       new Vector3D(0, 0, -1)),<a name="line.92"></a>
+<FONT color="green">093</FONT>                                       2, 5, 3, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1);<a name="line.93"></a>
+<FONT color="green">094</FONT>    <a name="line.94"></a>
+<FONT color="green">095</FONT>            checkVector(new FieldVector3D&lt;DerivativeStructure&gt;(2, createVector(1, 0, 0, 3),<a name="line.95"></a>
+<FONT color="green">096</FONT>                                       5, createVector(0, 1, 0, 3),<a name="line.96"></a>
+<FONT color="green">097</FONT>                                       5, createVector(0, -1, 0, 3),<a name="line.97"></a>
+<FONT color="green">098</FONT>                                       -3, createVector(0, 0, -1, 3)),<a name="line.98"></a>
+<FONT color="green">099</FONT>                                       2, 0, 3, 9, 0, 0, 0, 9, 0, 0, 0, 9);<a name="line.99"></a>
+<FONT color="green">100</FONT>            checkVector(new FieldVector3D&lt;DerivativeStructure&gt;(new DerivativeStructure(4, 1, 3,  2.0),<a name="line.100"></a>
+<FONT color="green">101</FONT>                                       createVector(1, 0,  0, 4),<a name="line.101"></a>
+<FONT color="green">102</FONT>                                       new DerivativeStructure(4, 1, 3,  5.0),<a name="line.102"></a>
+<FONT color="green">103</FONT>                                       createVector(0, 1,  0, 4),<a name="line.103"></a>
+<FONT color="green">104</FONT>                                       new DerivativeStructure(4, 1, 3,  5.0),<a name="line.104"></a>
+<FONT color="green">105</FONT>                                       createVector(0, -1,  0, 4),<a name="line.105"></a>
+<FONT color="green">106</FONT>                                       new DerivativeStructure(4, 1, 3, -3.0),<a name="line.106"></a>
+<FONT color="green">107</FONT>                                       createVector(0, 0, -1, 4)),<a name="line.107"></a>
+<FONT color="green">108</FONT>                                       2, 0, 3, 9, 0, 0, 1, 0, 9, 0, 0, 0, 0, 9, -1);<a name="line.108"></a>
+<FONT color="green">109</FONT>            checkVector(new FieldVector3D&lt;DerivativeStructure&gt;(new DerivativeStructure(4, 1, 3,  2.0),<a name="line.109"></a>
+<FONT color="green">110</FONT>                                       new Vector3D(1, 0,  0),<a name="line.110"></a>
+<FONT color="green">111</FONT>                                       new DerivativeStructure(4, 1, 3,  5.0),<a name="line.111"></a>
+<FONT color="green">112</FONT>                                       new Vector3D(0, 1,  0),<a name="line.112"></a>
+<FONT color="green">113</FONT>                                       new DerivativeStructure(4, 1, 3,  5.0),<a name="line.113"></a>
+<FONT color="green">114</FONT>                                       new Vector3D(0, -1,  0),<a name="line.114"></a>
+<FONT color="green">115</FONT>                                       new DerivativeStructure(4, 1, 3, -3.0),<a name="line.115"></a>
+<FONT color="green">116</FONT>                                       new Vector3D(0, 0, -1)),<a name="line.116"></a>
+<FONT color="green">117</FONT>                                       2, 0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1);<a name="line.117"></a>
+<FONT color="green">118</FONT>    <a name="line.118"></a>
+<FONT color="green">119</FONT>            checkVector(new FieldVector3D&lt;DerivativeStructure&gt;(new DerivativeStructure[] {<a name="line.119"></a>
+<FONT color="green">120</FONT>                new DerivativeStructure(3, 1, 2,  2),<a name="line.120"></a>
+<FONT color="green">121</FONT>                new DerivativeStructure(3, 1, 1,  5),<a name="line.121"></a>
+<FONT color="green">122</FONT>                new DerivativeStructure(3, 1, 0, -3)<a name="line.122"></a>
+<FONT color="green">123</FONT>            }),<a name="line.123"></a>
+<FONT color="green">124</FONT>            2, 5, -3, 0, 0, 1, 0, 1, 0, 1, 0, 0);<a name="line.124"></a>
+<FONT color="green">125</FONT>    <a name="line.125"></a>
+<FONT color="green">126</FONT>        }<a name="line.126"></a>
+<FONT color="green">127</FONT>    <a name="line.127"></a>
+<FONT color="green">128</FONT>        @Test<a name="line.128"></a>
+<FONT color="green">129</FONT>        public void testEquals() {<a name="line.129"></a>
+<FONT color="green">130</FONT>            FieldVector3D&lt;DerivativeStructure&gt; u1 = createVector(1, 2, 3, 3);<a name="line.130"></a>
+<FONT color="green">131</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v  = createVector(1, 2, 3 + 10 * Precision.EPSILON, 3);<a name="line.131"></a>
+<FONT color="green">132</FONT>            Assert.assertTrue(u1.equals(u1));<a name="line.132"></a>
+<FONT color="green">133</FONT>            Assert.assertTrue(u1.equals(new FieldVector3D&lt;DerivativeStructure&gt;(new DerivativeStructure(3, 1, 0, 1.0),<a name="line.133"></a>
+<FONT color="green">134</FONT>                                                       new DerivativeStructure(3, 1, 1, 2.0),<a name="line.134"></a>
+<FONT color="green">135</FONT>                                                       new DerivativeStructure(3, 1, 2, 3.0))));<a name="line.135"></a>
+<FONT color="green">136</FONT>            Assert.assertFalse(u1.equals(new FieldVector3D&lt;DerivativeStructure&gt;(new DerivativeStructure(3, 1, 1.0),<a name="line.136"></a>
+<FONT color="green">137</FONT>                                                        new DerivativeStructure(3, 1, 1, 2.0),<a name="line.137"></a>
+<FONT color="green">138</FONT>                                                        new DerivativeStructure(3, 1, 2, 3.0))));<a name="line.138"></a>
+<FONT color="green">139</FONT>            Assert.assertFalse(u1.equals(new FieldVector3D&lt;DerivativeStructure&gt;(new DerivativeStructure(3, 1, 0, 1.0),<a name="line.139"></a>
+<FONT color="green">140</FONT>                                                        new DerivativeStructure(3, 1, 2.0),<a name="line.140"></a>
+<FONT color="green">141</FONT>                                                        new DerivativeStructure(3, 1, 2, 3.0))));<a name="line.141"></a>
+<FONT color="green">142</FONT>            Assert.assertFalse(u1.equals(new FieldVector3D&lt;DerivativeStructure&gt;(new DerivativeStructure(3, 1, 0, 1.0),<a name="line.142"></a>
+<FONT color="green">143</FONT>                                                        new DerivativeStructure(3, 1, 1, 2.0),<a name="line.143"></a>
+<FONT color="green">144</FONT>                                                        new DerivativeStructure(3, 1, 3.0))));<a name="line.144"></a>
+<FONT color="green">145</FONT>            Assert.assertFalse(u1.equals(v));<a name="line.145"></a>
+<FONT color="green">146</FONT>            Assert.assertFalse(u1.equals(u1.toVector3D()));<a name="line.146"></a>
+<FONT color="green">147</FONT>            Assert.assertTrue(createVector(0, Double.NaN, 0, 3).equals(createVector(0, 0, Double.NaN, 3)));<a name="line.147"></a>
+<FONT color="green">148</FONT>        }<a name="line.148"></a>
+<FONT color="green">149</FONT>    <a name="line.149"></a>
+<FONT color="green">150</FONT>        @Test<a name="line.150"></a>
+<FONT color="green">151</FONT>        public void testHash() {<a name="line.151"></a>
+<FONT color="green">152</FONT>            Assert.assertEquals(createVector(0, Double.NaN, 0, 3).hashCode(), createVector(0, 0, Double.NaN, 3).hashCode());<a name="line.152"></a>
+<FONT color="green">153</FONT>            FieldVector3D&lt;DerivativeStructure&gt; u = createVector(1, 2, 3, 3);<a name="line.153"></a>
+<FONT color="green">154</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v = createVector(1, 2, 3 + 10 * Precision.EPSILON, 3);<a name="line.154"></a>
+<FONT color="green">155</FONT>            Assert.assertTrue(u.hashCode() != v.hashCode());<a name="line.155"></a>
+<FONT color="green">156</FONT>        }<a name="line.156"></a>
+<FONT color="green">157</FONT>    <a name="line.157"></a>
+<FONT color="green">158</FONT>        @Test<a name="line.158"></a>
+<FONT color="green">159</FONT>        public void testInfinite() {<a name="line.159"></a>
+<FONT color="green">160</FONT>            Assert.assertTrue(createVector(1, 1, Double.NEGATIVE_INFINITY, 3).isInfinite());<a name="line.160"></a>
+<FONT color="green">161</FONT>            Assert.assertTrue(createVector(1, Double.NEGATIVE_INFINITY, 1, 3).isInfinite());<a name="line.161"></a>
+<FONT color="green">162</FONT>            Assert.assertTrue(createVector(Double.NEGATIVE_INFINITY, 1, 1, 3).isInfinite());<a name="line.162"></a>
+<FONT color="green">163</FONT>            Assert.assertFalse(createVector(1, 1, 2, 3).isInfinite());<a name="line.163"></a>
+<FONT color="green">164</FONT>            Assert.assertFalse(createVector(1, Double.NaN, Double.NEGATIVE_INFINITY, 3).isInfinite());<a name="line.164"></a>
+<FONT color="green">165</FONT>        }<a name="line.165"></a>
+<FONT color="green">166</FONT>    <a name="line.166"></a>
+<FONT color="green">167</FONT>        @Test<a name="line.167"></a>
+<FONT color="green">168</FONT>        public void testNaN() {<a name="line.168"></a>
+<FONT color="green">169</FONT>            Assert.assertTrue(createVector(1, 1, Double.NaN, 3).isNaN());<a name="line.169"></a>
+<FONT color="green">170</FONT>            Assert.assertTrue(createVector(1, Double.NaN, 1, 3).isNaN());<a name="line.170"></a>
+<FONT color="green">171</FONT>            Assert.assertTrue(createVector(Double.NaN, 1, 1, 3).isNaN());<a name="line.171"></a>
+<FONT color="green">172</FONT>            Assert.assertFalse(createVector(1, 1, 2, 3).isNaN());<a name="line.172"></a>
+<FONT color="green">173</FONT>            Assert.assertFalse(createVector(1, 1, Double.NEGATIVE_INFINITY, 3).isNaN());<a name="line.173"></a>
+<FONT color="green">174</FONT>        }<a name="line.174"></a>
+<FONT color="green">175</FONT>    <a name="line.175"></a>
+<FONT color="green">176</FONT>        @Test<a name="line.176"></a>
+<FONT color="green">177</FONT>        public void testToString() {<a name="line.177"></a>
+<FONT color="green">178</FONT>            Assert.assertEquals("{3; 2; 1}", createVector(3, 2, 1, 3).toString());<a name="line.178"></a>
+<FONT color="green">179</FONT>            NumberFormat format = new DecimalFormat("0.000", new DecimalFormatSymbols(Locale.US));<a name="line.179"></a>
+<FONT color="green">180</FONT>            Assert.assertEquals("{3.000; 2.000; 1.000}", createVector(3, 2, 1, 3).toString(format));<a name="line.180"></a>
+<FONT color="green">181</FONT>        }<a name="line.181"></a>
+<FONT color="green">182</FONT>    <a name="line.182"></a>
+<FONT color="green">183</FONT>        @Test(expected=DimensionMismatchException.class)<a name="line.183"></a>
+<FONT color="green">184</FONT>        public void testWrongDimension() throws DimensionMismatchException {<a name="line.184"></a>
+<FONT color="green">185</FONT>            new FieldVector3D&lt;DerivativeStructure&gt;(new DerivativeStructure[] {<a name="line.185"></a>
+<FONT color="green">186</FONT>                new DerivativeStructure(3, 1, 0, 2),<a name="line.186"></a>
+<FONT color="green">187</FONT>                new DerivativeStructure(3, 1, 0, 5)<a name="line.187"></a>
+<FONT color="green">188</FONT>            });<a name="line.188"></a>
+<FONT color="green">189</FONT>        }<a name="line.189"></a>
+<FONT color="green">190</FONT>    <a name="line.190"></a>
+<FONT color="green">191</FONT>        @Test<a name="line.191"></a>
+<FONT color="green">192</FONT>        public void testCoordinates() {<a name="line.192"></a>
+<FONT color="green">193</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v = createVector(1, 2, 3, 3);<a name="line.193"></a>
+<FONT color="green">194</FONT>            Assert.assertTrue(FastMath.abs(v.getX().getReal() - 1) &lt; 1.0e-12);<a name="line.194"></a>
+<FONT color="green">195</FONT>            Assert.assertTrue(FastMath.abs(v.getY().getReal() - 2) &lt; 1.0e-12);<a name="line.195"></a>
+<FONT color="green">196</FONT>            Assert.assertTrue(FastMath.abs(v.getZ().getReal() - 3) &lt; 1.0e-12);<a name="line.196"></a>
+<FONT color="green">197</FONT>            DerivativeStructure[] coordinates = v.toArray();<a name="line.197"></a>
+<FONT color="green">198</FONT>            Assert.assertTrue(FastMath.abs(coordinates[0].getReal() - 1) &lt; 1.0e-12);<a name="line.198"></a>
+<FONT color="green">199</FONT>            Assert.assertTrue(FastMath.abs(coordinates[1].getReal() - 2) &lt; 1.0e-12);<a name="line.199"></a>
+<FONT color="green">200</FONT>            Assert.assertTrue(FastMath.abs(coordinates[2].getReal() - 3) &lt; 1.0e-12);<a name="line.200"></a>
+<FONT color="green">201</FONT>        }<a name="line.201"></a>
+<FONT color="green">202</FONT>    <a name="line.202"></a>
+<FONT color="green">203</FONT>        @Test<a name="line.203"></a>
+<FONT color="green">204</FONT>        public void testNorm1() {<a name="line.204"></a>
+<FONT color="green">205</FONT>            Assert.assertEquals( 0.0, createVector(0, 0, 0, 3).getNorm1().getReal(), 0);<a name="line.205"></a>
+<FONT color="green">206</FONT>            Assert.assertEquals( 6.0, createVector(1, -2, 3, 3).getNorm1().getReal(), 0);<a name="line.206"></a>
+<FONT color="green">207</FONT>            Assert.assertEquals( 1.0, createVector(1, -2, 3, 3).getNorm1().getPartialDerivative(1, 0, 0), 0);<a name="line.207"></a>
+<FONT color="green">208</FONT>            Assert.assertEquals(-1.0, createVector(1, -2, 3, 3).getNorm1().getPartialDerivative(0, 1, 0), 0);<a name="line.208"></a>
+<FONT color="green">209</FONT>            Assert.assertEquals( 1.0, createVector(1, -2, 3, 3).getNorm1().getPartialDerivative(0, 0, 1), 0);<a name="line.209"></a>
+<FONT color="green">210</FONT>        }<a name="line.210"></a>
+<FONT color="green">211</FONT>    <a name="line.211"></a>
+<FONT color="green">212</FONT>        @Test<a name="line.212"></a>
+<FONT color="green">213</FONT>        public void testNorm() {<a name="line.213"></a>
+<FONT color="green">214</FONT>            double r = FastMath.sqrt(14);<a name="line.214"></a>
+<FONT color="green">215</FONT>            Assert.assertEquals(0.0, createVector(0, 0, 0, 3).getNorm().getReal(), 0);<a name="line.215"></a>
+<FONT color="green">216</FONT>            Assert.assertEquals(r, createVector(1, 2, 3, 3).getNorm().getReal(), 1.0e-12);<a name="line.216"></a>
+<FONT color="green">217</FONT>            Assert.assertEquals( 1.0 / r, createVector(1, 2, 3, 3).getNorm().getPartialDerivative(1, 0, 0), 0);<a name="line.217"></a>
+<FONT color="green">218</FONT>            Assert.assertEquals( 2.0 / r, createVector(1, 2, 3, 3).getNorm().getPartialDerivative(0, 1, 0), 0);<a name="line.218"></a>
+<FONT color="green">219</FONT>            Assert.assertEquals( 3.0 / r, createVector(1, 2, 3, 3).getNorm().getPartialDerivative(0, 0, 1), 0);<a name="line.219"></a>
+<FONT color="green">220</FONT>        }<a name="line.220"></a>
+<FONT color="green">221</FONT>    <a name="line.221"></a>
+<FONT color="green">222</FONT>        @Test<a name="line.222"></a>
+<FONT color="green">223</FONT>        public void testNormSq() {<a name="line.223"></a>
+<FONT color="green">224</FONT>            Assert.assertEquals(0.0, createVector(0, 0, 0, 3).getNormSq().getReal(), 0);<a name="line.224"></a>
+<FONT color="green">225</FONT>            Assert.assertEquals(14, createVector(1, 2, 3, 3).getNormSq().getReal(), 1.0e-12);<a name="line.225"></a>
+<FONT color="green">226</FONT>            Assert.assertEquals( 2, createVector(1, 2, 3, 3).getNormSq().getPartialDerivative(1, 0, 0), 0);<a name="line.226"></a>
+<FONT color="green">227</FONT>            Assert.assertEquals( 4, createVector(1, 2, 3, 3).getNormSq().getPartialDerivative(0, 1, 0), 0);<a name="line.227"></a>
+<FONT color="green">228</FONT>            Assert.assertEquals( 6, createVector(1, 2, 3, 3).getNormSq().getPartialDerivative(0, 0, 1), 0);<a name="line.228"></a>
+<FONT color="green">229</FONT>        }<a name="line.229"></a>
+<FONT color="green">230</FONT>    <a name="line.230"></a>
+<FONT color="green">231</FONT>        @Test<a name="line.231"></a>
+<FONT color="green">232</FONT>        public void testNormInf() {<a name="line.232"></a>
+<FONT color="green">233</FONT>            Assert.assertEquals( 0.0, createVector(0, 0, 0, 3).getNormInf().getReal(), 0);<a name="line.233"></a>
+<FONT color="green">234</FONT>            Assert.assertEquals( 3.0, createVector(1, -2, 3, 3).getNormInf().getReal(), 0);<a name="line.234"></a>
+<FONT color="green">235</FONT>            Assert.assertEquals( 0.0, createVector(1, -2, 3, 3).getNormInf().getPartialDerivative(1, 0, 0), 0);<a name="line.235"></a>
+<FONT color="green">236</FONT>            Assert.assertEquals( 0.0, createVector(1, -2, 3, 3).getNormInf().getPartialDerivative(0, 1, 0), 0);<a name="line.236"></a>
+<FONT color="green">237</FONT>            Assert.assertEquals( 1.0, createVector(1, -2, 3, 3).getNormInf().getPartialDerivative(0, 0, 1), 0);<a name="line.237"></a>
+<FONT color="green">238</FONT>            Assert.assertEquals( 3.0, createVector(2, -1, 3, 3).getNormInf().getReal(), 0);<a name="line.238"></a>
+<FONT color="green">239</FONT>            Assert.assertEquals( 0.0, createVector(2, -1, 3, 3).getNormInf().getPartialDerivative(1, 0, 0), 0);<a name="line.239"></a>
+<FONT color="green">240</FONT>            Assert.assertEquals( 0.0, createVector(2, -1, 3, 3).getNormInf().getPartialDerivative(0, 1, 0), 0);<a name="line.240"></a>
+<FONT color="green">241</FONT>            Assert.assertEquals( 1.0, createVector(2, -1, 3, 3).getNormInf().getPartialDerivative(0, 0, 1), 0);<a name="line.241"></a>
+<FONT color="green">242</FONT>            Assert.assertEquals( 3.0, createVector(1, -3, 2, 3).getNormInf().getReal(), 0);<a name="line.242"></a>
+<FONT color="green">243</FONT>            Assert.assertEquals( 0.0, createVector(1, -3, 2, 3).getNormInf().getPartialDerivative(1, 0, 0), 0);<a name="line.243"></a>
+<FONT color="green">244</FONT>            Assert.assertEquals(-1.0, createVector(1, -3, 2, 3).getNormInf().getPartialDerivative(0, 1, 0), 0);<a name="line.244"></a>
+<FONT color="green">245</FONT>            Assert.assertEquals( 0.0, createVector(1, -3, 2, 3).getNormInf().getPartialDerivative(0, 0, 1), 0);<a name="line.245"></a>
+<FONT color="green">246</FONT>            Assert.assertEquals( 3.0, createVector(2, -3, 1, 3).getNormInf().getReal(), 0);<a name="line.246"></a>
+<FONT color="green">247</FONT>            Assert.assertEquals( 0.0, createVector(2, -3, 1, 3).getNormInf().getPartialDerivative(1, 0, 0), 0);<a name="line.247"></a>
+<FONT color="green">248</FONT>            Assert.assertEquals(-1.0, createVector(2, -3, 1, 3).getNormInf().getPartialDerivative(0, 1, 0), 0);<a name="line.248"></a>
+<FONT color="green">249</FONT>            Assert.assertEquals( 0.0, createVector(2, -3, 1, 3).getNormInf().getPartialDerivative(0, 0, 1), 0);<a name="line.249"></a>
+<FONT color="green">250</FONT>            Assert.assertEquals( 3.0, createVector(3, -1, 2, 3).getNormInf().getReal(), 0);<a name="line.250"></a>
+<FONT color="green">251</FONT>            Assert.assertEquals( 1.0, createVector(3, -1, 2, 3).getNormInf().getPartialDerivative(1, 0, 0), 0);<a name="line.251"></a>
+<FONT color="green">252</FONT>            Assert.assertEquals( 0.0, createVector(3, -1, 2, 3).getNormInf().getPartialDerivative(0, 1, 0), 0);<a name="line.252"></a>
+<FONT color="green">253</FONT>            Assert.assertEquals( 0.0, createVector(3, -1, 2, 3).getNormInf().getPartialDerivative(0, 0, 1), 0);<a name="line.253"></a>
+<FONT color="green">254</FONT>            Assert.assertEquals( 3.0, createVector(3, -2, 1, 3).getNormInf().getReal(), 0);<a name="line.254"></a>
+<FONT color="green">255</FONT>            Assert.assertEquals( 1.0, createVector(3, -2, 1, 3).getNormInf().getPartialDerivative(1, 0, 0), 0);<a name="line.255"></a>
+<FONT color="green">256</FONT>            Assert.assertEquals( 0.0, createVector(3, -2, 1, 3).getNormInf().getPartialDerivative(0, 1, 0), 0);<a name="line.256"></a>
+<FONT color="green">257</FONT>            Assert.assertEquals( 0.0, createVector(3, -2, 1, 3).getNormInf().getPartialDerivative(0, 0, 1), 0);<a name="line.257"></a>
+<FONT color="green">258</FONT>        }<a name="line.258"></a>
+<FONT color="green">259</FONT>    <a name="line.259"></a>
+<FONT color="green">260</FONT>        @Test<a name="line.260"></a>
+<FONT color="green">261</FONT>        public void testDistance1() {<a name="line.261"></a>
+<FONT color="green">262</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v1 = createVector(1, -2, 3, 3);<a name="line.262"></a>
+<FONT color="green">263</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v2 = createVector(-4, 2, 0, 3);<a name="line.263"></a>
+<FONT color="green">264</FONT>            Assert.assertEquals(0.0, FieldVector3D.distance1(createVector(-1, 0, 0, 3), createVector(-1, 0, 0, 3)).getReal(), 0);<a name="line.264"></a>
+<FONT color="green">265</FONT>            DerivativeStructure distance = FieldVector3D.distance1(v1, v2);<a name="line.265"></a>
+<FONT color="green">266</FONT>            Assert.assertEquals(12.0, distance.getReal(), 1.0e-12);<a name="line.266"></a>
+<FONT color="green">267</FONT>            Assert.assertEquals(0, distance.getPartialDerivative(1, 0, 0), 1.0e-12);<a name="line.267"></a>
+<FONT color="green">268</FONT>            Assert.assertEquals(0, distance.getPartialDerivative(0, 1, 0), 1.0e-12);<a name="line.268"></a>
+<FONT color="green">269</FONT>            Assert.assertEquals(0, distance.getPartialDerivative(0, 0, 1), 1.0e-12);<a name="line.269"></a>
+<FONT color="green">270</FONT>            distance = FieldVector3D.distance1(v1, new Vector3D(-4, 2, 0));<a name="line.270"></a>
+<FONT color="green">271</FONT>            Assert.assertEquals(12.0, distance.getReal(), 1.0e-12);<a name="line.271"></a>
+<FONT color="green">272</FONT>            Assert.assertEquals( 1, distance.getPartialDerivative(1, 0, 0), 1.0e-12);<a name="line.272"></a>
+<FONT color="green">273</FONT>            Assert.assertEquals(-1, distance.getPartialDerivative(0, 1, 0), 1.0e-12);<a name="line.273"></a>
+<FONT color="green">274</FONT>            Assert.assertEquals( 1, distance.getPartialDerivative(0, 0, 1), 1.0e-12);<a name="line.274"></a>
+<FONT color="green">275</FONT>            distance = FieldVector3D.distance1(new Vector3D(-4, 2, 0), v1);<a name="line.275"></a>
+<FONT color="green">276</FONT>            Assert.assertEquals(12.0, distance.getReal(), 1.0e-12);<a name="line.276"></a>
+<FONT color="green">277</FONT>            Assert.assertEquals( 1, distance.getPartialDerivative(1, 0, 0), 1.0e-12);<a name="line.277"></a>
+<FONT color="green">278</FONT>            Assert.assertEquals(-1, distance.getPartialDerivative(0, 1, 0), 1.0e-12);<a name="line.278"></a>
+<FONT color="green">279</FONT>            Assert.assertEquals( 1, distance.getPartialDerivative(0, 0, 1), 1.0e-12);<a name="line.279"></a>
+<FONT color="green">280</FONT>        }<a name="line.280"></a>
+<FONT color="green">281</FONT>    <a name="line.281"></a>
+<FONT color="green">282</FONT>        @Test<a name="line.282"></a>
+<FONT color="green">283</FONT>        public void testDistance() {<a name="line.283"></a>
+<FONT color="green">284</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v1 = createVector(1, -2, 3, 3);<a name="line.284"></a>
+<FONT color="green">285</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v2 = createVector(-4, 2, 0, 3);<a name="line.285"></a>
+<FONT color="green">286</FONT>            Assert.assertEquals(0.0, FieldVector3D.distance(createVector(-1, 0, 0, 3), createVector(-1, 0, 0, 3)).getReal(), 0);<a name="line.286"></a>
+<FONT color="green">287</FONT>            DerivativeStructure distance = FieldVector3D.distance(v1, v2);<a name="line.287"></a>
+<FONT color="green">288</FONT>            Assert.assertEquals(FastMath.sqrt(50), distance.getReal(), 1.0e-12);<a name="line.288"></a>
+<FONT color="green">289</FONT>            Assert.assertEquals(0, distance.getPartialDerivative(1, 0, 0), 1.0e-12);<a name="line.289"></a>
+<FONT color="green">290</FONT>            Assert.assertEquals(0, distance.getPartialDerivative(0, 1, 0), 1.0e-12);<a name="line.290"></a>
+<FONT color="green">291</FONT>            Assert.assertEquals(0, distance.getPartialDerivative(0, 0, 1), 1.0e-12);<a name="line.291"></a>
+<FONT color="green">292</FONT>            distance = FieldVector3D.distance(v1, new Vector3D(-4, 2, 0));<a name="line.292"></a>
+<FONT color="green">293</FONT>            Assert.assertEquals(FastMath.sqrt(50), distance.getReal(), 1.0e-12);<a name="line.293"></a>
+<FONT color="green">294</FONT>            Assert.assertEquals( 5 / FastMath.sqrt(50), distance.getPartialDerivative(1, 0, 0), 1.0e-12);<a name="line.294"></a>
+<FONT color="green">295</FONT>            Assert.assertEquals(-4 / FastMath.sqrt(50), distance.getPartialDerivative(0, 1, 0), 1.0e-12);<a name="line.295"></a>
+<FONT color="green">296</FONT>            Assert.assertEquals( 3 / FastMath.sqrt(50), distance.getPartialDerivative(0, 0, 1), 1.0e-12);<a name="line.296"></a>
+<FONT color="green">297</FONT>            distance = FieldVector3D.distance(new Vector3D(-4, 2, 0), v1);<a name="line.297"></a>
+<FONT color="green">298</FONT>            Assert.assertEquals(FastMath.sqrt(50), distance.getReal(), 1.0e-12);<a name="line.298"></a>
+<FONT color="green">299</FONT>            Assert.assertEquals( 5 / FastMath.sqrt(50), distance.getPartialDerivative(1, 0, 0), 1.0e-12);<a name="line.299"></a>
+<FONT color="green">300</FONT>            Assert.assertEquals(-4 / FastMath.sqrt(50), distance.getPartialDerivative(0, 1, 0), 1.0e-12);<a name="line.300"></a>
+<FONT color="green">301</FONT>            Assert.assertEquals( 3 / FastMath.sqrt(50), distance.getPartialDerivative(0, 0, 1), 1.0e-12);<a name="line.301"></a>
+<FONT color="green">302</FONT>        }<a name="line.302"></a>
+<FONT color="green">303</FONT>    <a name="line.303"></a>
+<FONT color="green">304</FONT>        @Test<a name="line.304"></a>
+<FONT color="green">305</FONT>        public void testDistanceSq() {<a name="line.305"></a>
+<FONT color="green">306</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v1 = createVector(1, -2, 3, 3);<a name="line.306"></a>
+<FONT color="green">307</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v2 = createVector(-4, 2, 0, 3);<a name="line.307"></a>
+<FONT color="green">308</FONT>            Assert.assertEquals(0.0, FieldVector3D.distanceSq(createVector(-1, 0, 0, 3), createVector(-1, 0, 0, 3)).getReal(), 0);<a name="line.308"></a>
+<FONT color="green">309</FONT>            DerivativeStructure distanceSq = FieldVector3D.distanceSq(v1, v2);<a name="line.309"></a>
+<FONT color="green">310</FONT>            Assert.assertEquals(50.0, distanceSq.getReal(), 1.0e-12);<a name="line.310"></a>
+<FONT color="green">311</FONT>            Assert.assertEquals(0, distanceSq.getPartialDerivative(1, 0, 0), 1.0e-12);<a name="line.311"></a>
+<FONT color="green">312</FONT>            Assert.assertEquals(0, distanceSq.getPartialDerivative(0, 1, 0), 1.0e-12);<a name="line.312"></a>
+<FONT color="green">313</FONT>            Assert.assertEquals(0, distanceSq.getPartialDerivative(0, 0, 1), 1.0e-12);<a name="line.313"></a>
+<FONT color="green">314</FONT>            distanceSq = FieldVector3D.distanceSq(v1, new Vector3D(-4, 2, 0));<a name="line.314"></a>
+<FONT color="green">315</FONT>            Assert.assertEquals(50.0, distanceSq.getReal(), 1.0e-12);<a name="line.315"></a>
+<FONT color="green">316</FONT>            Assert.assertEquals(10, distanceSq.getPartialDerivative(1, 0, 0), 1.0e-12);<a name="line.316"></a>
+<FONT color="green">317</FONT>            Assert.assertEquals(-8, distanceSq.getPartialDerivative(0, 1, 0), 1.0e-12);<a name="line.317"></a>
+<FONT color="green">318</FONT>            Assert.assertEquals( 6, distanceSq.getPartialDerivative(0, 0, 1), 1.0e-12);<a name="line.318"></a>
+<FONT color="green">319</FONT>            distanceSq = FieldVector3D.distanceSq(new Vector3D(-4, 2, 0), v1);<a name="line.319"></a>
+<FONT color="green">320</FONT>            Assert.assertEquals(50.0, distanceSq.getReal(), 1.0e-12);<a name="line.320"></a>
+<FONT color="green">321</FONT>            Assert.assertEquals(10, distanceSq.getPartialDerivative(1, 0, 0), 1.0e-12);<a name="line.321"></a>
+<FONT color="green">322</FONT>            Assert.assertEquals(-8, distanceSq.getPartialDerivative(0, 1, 0), 1.0e-12);<a name="line.322"></a>
+<FONT color="green">323</FONT>            Assert.assertEquals( 6, distanceSq.getPartialDerivative(0, 0, 1), 1.0e-12);<a name="line.323"></a>
+<FONT color="green">324</FONT>      }<a name="line.324"></a>
+<FONT color="green">325</FONT>    <a name="line.325"></a>
+<FONT color="green">326</FONT>        @Test<a name="line.326"></a>
+<FONT color="green">327</FONT>        public void testDistanceInf() {<a name="line.327"></a>
+<FONT color="green">328</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v1 = createVector(1, -2, 3, 3);<a name="line.328"></a>
+<FONT color="green">329</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v2 = createVector(-4, 2, 0, 3);<a name="line.329"></a>
+<FONT color="green">330</FONT>            Assert.assertEquals(0.0, FieldVector3D.distanceInf(createVector(-1, 0, 0, 3), createVector(-1, 0, 0, 3)).getReal(), 0);<a name="line.330"></a>
+<FONT color="green">331</FONT>            DerivativeStructure distance = FieldVector3D.distanceInf(v1, v2);<a name="line.331"></a>
+<FONT color="green">332</FONT>            Assert.assertEquals(5.0, distance.getReal(), 1.0e-12);<a name="line.332"></a>
+<FONT color="green">333</FONT>            Assert.assertEquals(0, distance.getPartialDerivative(1, 0, 0), 1.0e-12);<a name="line.333"></a>
+<FONT color="green">334</FONT>            Assert.assertEquals(0, distance.getPartialDerivative(0, 1, 0), 1.0e-12);<a name="line.334"></a>
+<FONT color="green">335</FONT>            Assert.assertEquals(0, distance.getPartialDerivative(0, 0, 1), 1.0e-12);<a name="line.335"></a>
+<FONT color="green">336</FONT>            distance = FieldVector3D.distanceInf(v1, new Vector3D(-4, 2, 0));<a name="line.336"></a>
+<FONT color="green">337</FONT>            Assert.assertEquals(5.0, distance.getReal(), 1.0e-12);<a name="line.337"></a>
+<FONT color="green">338</FONT>            Assert.assertEquals(1, distance.getPartialDerivative(1, 0, 0), 1.0e-12);<a name="line.338"></a>
+<FONT color="green">339</FONT>            Assert.assertEquals(0, distance.getPartialDerivative(0, 1, 0), 1.0e-12);<a name="line.339"></a>
+<FONT color="green">340</FONT>            Assert.assertEquals(0, distance.getPartialDerivative(0, 0, 1), 1.0e-12);<a name="line.340"></a>
+<FONT color="green">341</FONT>            distance = FieldVector3D.distanceInf(new Vector3D(-4, 2, 0), v1);<a name="line.341"></a>
+<FONT color="green">342</FONT>            Assert.assertEquals(5.0, distance.getReal(), 1.0e-12);<a name="line.342"></a>
+<FONT color="green">343</FONT>            Assert.assertEquals(1, distance.getPartialDerivative(1, 0, 0), 1.0e-12);<a name="line.343"></a>
+<FONT color="green">344</FONT>            Assert.assertEquals(0, distance.getPartialDerivative(0, 1, 0), 1.0e-12);<a name="line.344"></a>
+<FONT color="green">345</FONT>            Assert.assertEquals(0, distance.getPartialDerivative(0, 0, 1), 1.0e-12);<a name="line.345"></a>
+<FONT color="green">346</FONT>            Assert.assertEquals(v1.subtract(v2).getNormInf().getReal(), FieldVector3D.distanceInf(v1, v2).getReal(), 1.0e-12);<a name="line.346"></a>
+<FONT color="green">347</FONT>    <a name="line.347"></a>
+<FONT color="green">348</FONT>            Assert.assertEquals(5.0,<a name="line.348"></a>
+<FONT color="green">349</FONT>                                FieldVector3D.distanceInf(createVector( 1, -2, 3, 3), createVector(-4,  2, 0, 3)).getReal(),<a name="line.349"></a>
+<FONT color="green">350</FONT>                                1.0e-12);<a name="line.350"></a>
+<FONT color="green">351</FONT>            Assert.assertEquals(5.0,<a name="line.351"></a>
+<FONT color="green">352</FONT>                                FieldVector3D.distanceInf(createVector( 1, 3, -2, 3), createVector(-4, 0,  2, 3)).getReal(),<a name="line.352"></a>
+<FONT color="green">353</FONT>                                1.0e-12);<a name="line.353"></a>
+<FONT color="green">354</FONT>            Assert.assertEquals(5.0,<a name="line.354"></a>
+<FONT color="green">355</FONT>                                FieldVector3D.distanceInf(createVector(-2,  1, 3, 3), createVector( 2, -4, 0, 3)).getReal(),<a name="line.355"></a>
+<FONT color="green">356</FONT>                                1.0e-12);<a name="line.356"></a>
+<FONT color="green">357</FONT>            Assert.assertEquals(5.0,<a name="line.357"></a>
+<FONT color="green">358</FONT>                                FieldVector3D.distanceInf(createVector(-2, 3,  1, 3), createVector( 2, 0, -4, 3)).getReal(),<a name="line.358"></a>
+<FONT color="green">359</FONT>                                1.0e-12);<a name="line.359"></a>
+<FONT color="green">360</FONT>            Assert.assertEquals(5.0,<a name="line.360"></a>
+<FONT color="green">361</FONT>                                FieldVector3D.distanceInf(createVector(3, -2,  1, 3), createVector(0,  2, -4, 3)).getReal(),<a name="line.361"></a>
+<FONT color="green">362</FONT>                                1.0e-12);<a name="line.362"></a>
+<FONT color="green">363</FONT>            Assert.assertEquals(5.0,<a name="line.363"></a>
+<FONT color="green">364</FONT>                                FieldVector3D.distanceInf(createVector(3,  1, -2, 3), createVector(0, -4,  2, 3)).getReal(),<a name="line.364"></a>
+<FONT color="green">365</FONT>                                1.0e-12);<a name="line.365"></a>
+<FONT color="green">366</FONT>    <a name="line.366"></a>
+<FONT color="green">367</FONT>            Assert.assertEquals(5.0,<a name="line.367"></a>
+<FONT color="green">368</FONT>                                FieldVector3D.distanceInf(createVector( 1, -2, 3, 3), new Vector3D(-4,  2, 0)).getReal(),<a name="line.368"></a>
+<FONT color="green">369</FONT>                                1.0e-12);<a name="line.369"></a>
+<FONT color="green">370</FONT>            Assert.assertEquals(5.0,<a name="line.370"></a>
+<FONT color="green">371</FONT>                                FieldVector3D.distanceInf(createVector( 1, 3, -2, 3), new Vector3D(-4, 0,  2)).getReal(),<a name="line.371"></a>
+<FONT color="green">372</FONT>                                1.0e-12);<a name="line.372"></a>
+<FONT color="green">373</FONT>            Assert.assertEquals(5.0,<a name="line.373"></a>
+<FONT color="green">374</FONT>                                FieldVector3D.distanceInf(createVector(-2,  1, 3, 3), new Vector3D( 2, -4, 0)).getReal(),<a name="line.374"></a>
+<FONT color="green">375</FONT>                                1.0e-12);<a name="line.375"></a>
+<FONT color="green">376</FONT>            Assert.assertEquals(5.0,<a name="line.376"></a>
+<FONT color="green">377</FONT>                                FieldVector3D.distanceInf(createVector(-2, 3,  1, 3), new Vector3D( 2, 0, -4)).getReal(),<a name="line.377"></a>
+<FONT color="green">378</FONT>                                1.0e-12);<a name="line.378"></a>
+<FONT color="green">379</FONT>            Assert.assertEquals(5.0,<a name="line.379"></a>
+<FONT color="green">380</FONT>                                FieldVector3D.distanceInf(createVector(3, -2,  1, 3), new Vector3D(0,  2, -4)).getReal(),<a name="line.380"></a>
+<FONT color="green">381</FONT>                                1.0e-12);<a name="line.381"></a>
+<FONT color="green">382</FONT>            Assert.assertEquals(5.0,<a name="line.382"></a>
+<FONT color="green">383</FONT>                                FieldVector3D.distanceInf(createVector(3,  1, -2, 3), new Vector3D(0, -4,  2)).getReal(),<a name="line.383"></a>
+<FONT color="green">384</FONT>                                1.0e-12);<a name="line.384"></a>
+<FONT color="green">385</FONT>    <a name="line.385"></a>
+<FONT color="green">386</FONT>        }<a name="line.386"></a>
+<FONT color="green">387</FONT>    <a name="line.387"></a>
+<FONT color="green">388</FONT>        @Test<a name="line.388"></a>
+<FONT color="green">389</FONT>        public void testSubtract() {<a name="line.389"></a>
+<FONT color="green">390</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v1 = createVector(1, 2, 3, 3);<a name="line.390"></a>
+<FONT color="green">391</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v2 = createVector(-3, -2, -1, 3);<a name="line.391"></a>
+<FONT color="green">392</FONT>            v1 = v1.subtract(v2);<a name="line.392"></a>
+<FONT color="green">393</FONT>            checkVector(v1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0);<a name="line.393"></a>
+<FONT color="green">394</FONT>    <a name="line.394"></a>
+<FONT color="green">395</FONT>            checkVector(v2.subtract(v1), -7, -6, -5, 1, 0, 0, 0, 1, 0, 0, 0, 1);<a name="line.395"></a>
+<FONT color="green">396</FONT>            checkVector(v2.subtract(new Vector3D(4, 4, 4)), -7, -6, -5, 1, 0, 0, 0, 1, 0, 0, 0, 1);<a name="line.396"></a>
+<FONT color="green">397</FONT>            checkVector(v2.subtract(3, v1), -15, -14, -13, 1, 0, 0, 0, 1, 0, 0, 0, 1);<a name="line.397"></a>
+<FONT color="green">398</FONT>            checkVector(v2.subtract(3, new Vector3D(4, 4, 4)), -15, -14, -13, 1, 0, 0, 0, 1, 0, 0, 0, 1);<a name="line.398"></a>
+<FONT color="green">399</FONT>            checkVector(v2.subtract(new DerivativeStructure(3, 1, 2, 3), new Vector3D(4, 4, 4)),<a name="line.399"></a>
+<FONT color="green">400</FONT>                        -15, -14, -13, 1, 0, -4, 0, 1, -4, 0, 0, -3);<a name="line.400"></a>
+<FONT color="green">401</FONT>    <a name="line.401"></a>
+<FONT color="green">402</FONT>            checkVector(createVector(1, 2, 3, 4).subtract(new DerivativeStructure(4, 1, 3, 5.0),<a name="line.402"></a>
+<FONT color="green">403</FONT>                                                          createVector(3, -2, 1, 4)),<a name="line.403"></a>
+<FONT color="green">404</FONT>                        -14, 12, -2,<a name="line.404"></a>
+<FONT color="green">405</FONT>                         -4,  0,  0, -3,<a name="line.405"></a>
+<FONT color="green">406</FONT>                          0, -4,  0,  2,<a name="line.406"></a>
+<FONT color="green">407</FONT>                          0,  0, -4, -1);<a name="line.407"></a>
+<FONT color="green">408</FONT>    <a name="line.408"></a>
+<FONT color="green">409</FONT>        }<a name="line.409"></a>
+<FONT color="green">410</FONT>    <a name="line.410"></a>
+<FONT color="green">411</FONT>        @Test<a name="line.411"></a>
+<FONT color="green">412</FONT>        public void testAdd() {<a name="line.412"></a>
+<FONT color="green">413</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v1 = createVector(1, 2, 3, 3);<a name="line.413"></a>
+<FONT color="green">414</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v2 = createVector(-3, -2, -1, 3);<a name="line.414"></a>
+<FONT color="green">415</FONT>            v1 = v1.add(v2);<a name="line.415"></a>
+<FONT color="green">416</FONT>            checkVector(v1, -2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2);<a name="line.416"></a>
+<FONT color="green">417</FONT>    <a name="line.417"></a>
+<FONT color="green">418</FONT>            checkVector(v2.add(v1), -5, -2, 1, 3, 0, 0, 0, 3, 0, 0, 0, 3);<a name="line.418"></a>
+<FONT color="green">419</FONT>            checkVector(v2.add(new Vector3D(-2, 0, 2)), -5, -2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1);<a name="line.419"></a>
+<FONT color="green">420</FONT>            checkVector(v2.add(3, v1), -9, -2, 5, 7, 0, 0, 0, 7, 0, 0, 0, 7);<a name="line.420"></a>
+<FONT color="green">421</FONT>            checkVector(v2.add(3, new Vector3D(-2, 0, 2)), -9, -2, 5, 1, 0, 0, 0, 1, 0, 0, 0, 1);<a name="line.421"></a>
+<FONT color="green">422</FONT>            checkVector(v2.add(new DerivativeStructure(3, 1, 2, 3), new Vector3D(-2, 0, 2)),<a name="line.422"></a>
+<FONT color="green">423</FONT>                        -9, -2, 5, 1, 0, -2, 0, 1, 0, 0, 0, 3);<a name="line.423"></a>
+<FONT color="green">424</FONT>    <a name="line.424"></a>
+<FONT color="green">425</FONT>            checkVector(createVector(1, 2, 3, 4).add(new DerivativeStructure(4, 1, 3, 5.0),<a name="line.425"></a>
+<FONT color="green">426</FONT>                                                     createVector(3, -2, 1, 4)),<a name="line.426"></a>
+<FONT color="green">427</FONT>                        16, -8,  8,<a name="line.427"></a>
+<FONT color="green">428</FONT>                         6,  0,  0,  3,<a name="line.428"></a>
+<FONT color="green">429</FONT>                         0,  6,  0, -2,<a name="line.429"></a>
+<FONT color="green">430</FONT>                         0,  0,  6,  1);<a name="line.430"></a>
+<FONT color="green">431</FONT>    <a name="line.431"></a>
+<FONT color="green">432</FONT>        }<a name="line.432"></a>
+<FONT color="green">433</FONT>    <a name="line.433"></a>
+<FONT color="green">434</FONT>        @Test<a name="line.434"></a>
+<FONT color="green">435</FONT>        public void testScalarProduct() {<a name="line.435"></a>
+<FONT color="green">436</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v = createVector(1, 2, 3, 3);<a name="line.436"></a>
+<FONT color="green">437</FONT>            v = v.scalarMultiply(3);<a name="line.437"></a>
+<FONT color="green">438</FONT>            checkVector(v, 3, 6, 9);<a name="line.438"></a>
+<FONT color="green">439</FONT>    <a name="line.439"></a>
+<FONT color="green">440</FONT>            checkVector(v.scalarMultiply(0.5), 1.5, 3, 4.5);<a name="line.440"></a>
+<FONT color="green">441</FONT>        }<a name="line.441"></a>
+<FONT color="green">442</FONT>    <a name="line.442"></a>
+<FONT color="green">443</FONT>        @Test<a name="line.443"></a>
+<FONT color="green">444</FONT>        public void testVectorialProducts() {<a name="line.444"></a>
+<FONT color="green">445</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v1 = createVector(2, 1, -4, 3);<a name="line.445"></a>
+<FONT color="green">446</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v2 = createVector(3, 1, -1, 3);<a name="line.446"></a>
+<FONT color="green">447</FONT>    <a name="line.447"></a>
+<FONT color="green">448</FONT>            Assert.assertTrue(FastMath.abs(FieldVector3D.dotProduct(v1, v2).getReal() - 11) &lt; 1.0e-12);<a name="line.448"></a>
+<FONT color="green">449</FONT>            Assert.assertTrue(FastMath.abs(FieldVector3D.dotProduct(v1, v2.toVector3D()).getReal() - 11) &lt; 1.0e-12);<a name="line.449"></a>
+<FONT color="green">450</FONT>            Assert.assertTrue(FastMath.abs(FieldVector3D.dotProduct(v1.toVector3D(), v2).getReal() - 11) &lt; 1.0e-12);<a name="line.450"></a>
+<FONT color="green">451</FONT>    <a name="line.451"></a>
+<FONT color="green">452</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v3 = FieldVector3D.crossProduct(v1, v2);<a name="line.452"></a>
+<FONT color="green">453</FONT>            checkVector(v3, 3, -10, -1);<a name="line.453"></a>
+<FONT color="green">454</FONT>            Assert.assertTrue(FastMath.abs(FieldVector3D.dotProduct(v1, v3).getReal()) &lt; 1.0e-12);<a name="line.454"></a>
+<FONT color="green">455</FONT>            Assert.assertTrue(FastMath.abs(FieldVector3D.dotProduct(v2, v3).getReal()) &lt; 1.0e-12);<a name="line.455"></a>
+<FONT color="green">456</FONT>    <a name="line.456"></a>
+<FONT color="green">457</FONT>            v3 = FieldVector3D.crossProduct(v1, v2.toVector3D());<a name="line.457"></a>
+<FONT color="green">458</FONT>            checkVector(v3, 3, -10, -1);<a name="line.458"></a>
+<FONT color="green">459</FONT>            Assert.assertTrue(FastMath.abs(FieldVector3D.dotProduct(v1, v3).getReal()) &lt; 1.0e-12);<a name="line.459"></a>
+<FONT color="green">460</FONT>            Assert.assertTrue(FastMath.abs(FieldVector3D.dotProduct(v2, v3).getReal()) &lt; 1.0e-12);<a name="line.460"></a>
+<FONT color="green">461</FONT>    <a name="line.461"></a>
+<FONT color="green">462</FONT>            v3 = FieldVector3D.crossProduct(v1.toVector3D(), v2);<a name="line.462"></a>
+<FONT color="green">463</FONT>            checkVector(v3, 3, -10, -1);<a name="line.463"></a>
+<FONT color="green">464</FONT>            Assert.assertTrue(FastMath.abs(FieldVector3D.dotProduct(v1, v3).getReal()) &lt; 1.0e-12);<a name="line.464"></a>
+<FONT color="green">465</FONT>            Assert.assertTrue(FastMath.abs(FieldVector3D.dotProduct(v2, v3).getReal()) &lt; 1.0e-12);<a name="line.465"></a>
+<FONT color="green">466</FONT>    <a name="line.466"></a>
+<FONT color="green">467</FONT>        }<a name="line.467"></a>
+<FONT color="green">468</FONT>    <a name="line.468"></a>
+<FONT color="green">469</FONT>        @Test<a name="line.469"></a>
+<FONT color="green">470</FONT>        public void testCrossProductCancellation() {<a name="line.470"></a>
+<FONT color="green">471</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v1 = createVector(9070467121.0, 4535233560.0, 1, 3);<a name="line.471"></a>
+<FONT color="green">472</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v2 = createVector(9070467123.0, 4535233561.0, 1, 3);<a name="line.472"></a>
+<FONT color="green">473</FONT>            checkVector(FieldVector3D.crossProduct(v1, v2), -1, 2, 1);<a name="line.473"></a>
+<FONT color="green">474</FONT>    <a name="line.474"></a>
+<FONT color="green">475</FONT>            double scale    = FastMath.scalb(1.0, 100);<a name="line.475"></a>
+<FONT color="green">476</FONT>            FieldVector3D&lt;DerivativeStructure&gt; big1   = new FieldVector3D&lt;DerivativeStructure&gt;(scale, v1);<a name="line.476"></a>
+<FONT color="green">477</FONT>            FieldVector3D&lt;DerivativeStructure&gt; small2 = new FieldVector3D&lt;DerivativeStructure&gt;(1 / scale, v2);<a name="line.477"></a>
+<FONT color="green">478</FONT>            checkVector(FieldVector3D.crossProduct(big1, small2), -1, 2, 1);<a name="line.478"></a>
+<FONT color="green">479</FONT>    <a name="line.479"></a>
+<FONT color="green">480</FONT>        }<a name="line.480"></a>
+<FONT color="green">481</FONT>    <a name="line.481"></a>
+<FONT color="green">482</FONT>        @Test<a name="line.482"></a>
+<FONT color="green">483</FONT>        public void testAngular() {<a name="line.483"></a>
+<FONT color="green">484</FONT>            Assert.assertEquals(0,           createVector(1, 0, 0, 3).getAlpha().getReal(), 1.0e-10);<a name="line.484"></a>
+<FONT color="green">485</FONT>            Assert.assertEquals(0,           createVector(1, 0, 0, 3).getDelta().getReal(), 1.0e-10);<a name="line.485"></a>
+<FONT color="green">486</FONT>            Assert.assertEquals(FastMath.PI / 2, createVector(0, 1, 0, 3).getAlpha().getReal(), 1.0e-10);<a name="line.486"></a>
+<FONT color="green">487</FONT>            Assert.assertEquals(0,           createVector(0, 1, 0, 3).getDelta().getReal(), 1.0e-10);<a name="line.487"></a>
+<FONT color="green">488</FONT>            Assert.assertEquals(FastMath.PI / 2, createVector(0, 0, 1, 3).getDelta().getReal(), 1.0e-10);<a name="line.488"></a>
+<FONT color="green">489</FONT>          <a name="line.489"></a>
+<FONT color="green">490</FONT>            FieldVector3D&lt;DerivativeStructure&gt; u = createVector(-1, 1, -1, 3);<a name="line.490"></a>
+<FONT color="green">491</FONT>            Assert.assertEquals(3 * FastMath.PI /4, u.getAlpha().getReal(), 1.0e-10);<a name="line.491"></a>
+<FONT color="green">492</FONT>            Assert.assertEquals(-1.0 / FastMath.sqrt(3), u.getDelta().sin().getReal(), 1.0e-10);<a name="line.492"></a>
+<FONT color="green">493</FONT>        }<a name="line.493"></a>
+<FONT color="green">494</FONT>    <a name="line.494"></a>
+<FONT color="green">495</FONT>        @Test<a name="line.495"></a>
+<FONT color="green">496</FONT>        public void testAngularSeparation() throws MathArithmeticException {<a name="line.496"></a>
+<FONT color="green">497</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v1 = createVector(2, -1, 4, 3);<a name="line.497"></a>
+<FONT color="green">498</FONT>    <a name="line.498"></a>
+<FONT color="green">499</FONT>            FieldVector3D&lt;DerivativeStructure&gt;  k = v1.normalize();<a name="line.499"></a>
+<FONT color="green">500</FONT>            FieldVector3D&lt;DerivativeStructure&gt;  i = k.orthogonal();<a name="line.500"></a>
+<FONT color="green">501</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v2 = k.scalarMultiply(FastMath.cos(1.2)).add(i.scalarMultiply(FastMath.sin(1.2)));<a name="line.501"></a>
+<FONT color="green">502</FONT>    <a name="line.502"></a>
+<FONT color="green">503</FONT>            Assert.assertTrue(FastMath.abs(FieldVector3D.angle(v1, v2).getReal() - 1.2) &lt; 1.0e-12);<a name="line.503"></a>
+<FONT color="green">504</FONT>            Assert.assertTrue(FastMath.abs(FieldVector3D.angle(v1, v2.toVector3D()).getReal() - 1.2) &lt; 1.0e-12);<a name="line.504"></a>
+<FONT color="green">505</FONT>            Assert.assertTrue(FastMath.abs(FieldVector3D.angle(v1.toVector3D(), v2).getReal() - 1.2) &lt; 1.0e-12);<a name="line.505"></a>
+<FONT color="green">506</FONT>    <a name="line.506"></a>
+<FONT color="green">507</FONT>            try {<a name="line.507"></a>
+<FONT color="green">508</FONT>                FieldVector3D.angle(v1, Vector3D.ZERO);<a name="line.508"></a>
+<FONT color="green">509</FONT>                Assert.fail("an exception should have been thrown");<a name="line.509"></a>
+<FONT color="green">510</FONT>            } catch (MathArithmeticException mae) {<a name="line.510"></a>
+<FONT color="green">511</FONT>                // expected<a name="line.511"></a>
+<FONT color="green">512</FONT>            }<a name="line.512"></a>
+<FONT color="green">513</FONT>            Assert.assertEquals(0.0, FieldVector3D.angle(v1, v1.toVector3D()).getReal(), 1.0e-15);<a name="line.513"></a>
+<FONT color="green">514</FONT>            Assert.assertEquals(FastMath.PI, FieldVector3D.angle(v1, v1.negate().toVector3D()).getReal(), 1.0e-15);<a name="line.514"></a>
+<FONT color="green">515</FONT>    <a name="line.515"></a>
+<FONT color="green">516</FONT>        }<a name="line.516"></a>
+<FONT color="green">517</FONT>    <a name="line.517"></a>
+<FONT color="green">518</FONT>        @Test<a name="line.518"></a>
+<FONT color="green">519</FONT>        public void testNormalize() throws MathArithmeticException {<a name="line.519"></a>
+<FONT color="green">520</FONT>            Assert.assertEquals(1.0, createVector(5, -4, 2, 3).normalize().getNorm().getReal(), 1.0e-12);<a name="line.520"></a>
+<FONT color="green">521</FONT>            try {<a name="line.521"></a>
+<FONT color="green">522</FONT>                createVector(0, 0, 0, 3).normalize();<a name="line.522"></a>
+<FONT color="green">523</FONT>                Assert.fail("an exception should have been thrown");<a name="line.523"></a>
+<FONT color="green">524</FONT>            } catch (MathArithmeticException ae) {<a name="line.524"></a>
+<FONT color="green">525</FONT>                // expected behavior<a name="line.525"></a>
+<FONT color="green">526</FONT>            }<a name="line.526"></a>
+<FONT color="green">527</FONT>        }<a name="line.527"></a>
+<FONT color="green">528</FONT>    <a name="line.528"></a>
+<FONT color="green">529</FONT>        @Test<a name="line.529"></a>
+<FONT color="green">530</FONT>        public void testNegate() {<a name="line.530"></a>
+<FONT color="green">531</FONT>            checkVector(createVector(0.1, 2.5, 1.3, 3).negate(),<a name="line.531"></a>
+<FONT color="green">532</FONT>                        -0.1, -2.5, -1.3, -1, 0, 0, 0, -1, 0, 0, 0, -1);<a name="line.532"></a>
+<FONT color="green">533</FONT>        }<a name="line.533"></a>
+<FONT color="green">534</FONT>    <a name="line.534"></a>
+<FONT color="green">535</FONT>        @Test<a name="line.535"></a>
+<FONT color="green">536</FONT>        public void testOrthogonal() throws MathArithmeticException {<a name="line.536"></a>
+<FONT color="green">537</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v1 = createVector(0.1, 2.5, 1.3, 3);<a name="line.537"></a>
+<FONT color="green">538</FONT>            Assert.assertEquals(0.0, FieldVector3D.dotProduct(v1, v1.orthogonal()).getReal(), 1.0e-12);<a name="line.538"></a>
+<FONT color="green">539</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v2 = createVector(2.3, -0.003, 7.6, 3);<a name="line.539"></a>
+<FONT color="green">540</FONT>            Assert.assertEquals(0.0, FieldVector3D.dotProduct(v2, v2.orthogonal()).getReal(), 1.0e-12);<a name="line.540"></a>
+<FONT color="green">541</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v3 = createVector(-1.7, 1.4, 0.2, 3);<a name="line.541"></a>
+<FONT color="green">542</FONT>            Assert.assertEquals(0.0, FieldVector3D.dotProduct(v3, v3.orthogonal()).getReal(), 1.0e-12);<a name="line.542"></a>
+<FONT color="green">543</FONT>            FieldVector3D&lt;DerivativeStructure&gt; v4 = createVector(4.2, 0.1, -1.8, 3);<a name="line.543"></a>
+<FONT color="green">544</FONT>            Assert.assertEquals(0.0, FieldVector3D.dotProduct(v4, v4.orthogonal()).getReal(), 1.0e-12);<a name="line.544"></a>
+<FONT color="green">545</FONT>            try {<a name="line.545"></a>
+<FONT color="green">546</FONT>                createVector(0, 0, 0, 3).orthogonal();<a name="line.546"></a>
+<FONT color="green">547</FONT>                Assert.fail("an exception should have been thrown");<a name="line.547"></a>
+<FONT color="green">548</FONT>            } catch (MathArithmeticException ae) {<a name="line.548"></a>
+<FONT color="green">549</FONT>                // expected behavior<a name="line.549"></a>
+<FONT color="green">550</FONT>            }<a name="line.550"></a>
+<FONT color="green">551</FONT>        }<a name="line.551"></a>
+<FONT color="green">552</FONT>    <a name="line.552"></a>
+<FONT color="green">553</FONT>        @Test<a name="line.553"></a>
+<FONT color="green">554</FONT>        public void testAngle() throws MathArithmeticException {<a name="line.554"></a>
+<FONT color="green">555</FONT>            Assert.assertEquals(0.22572612855273393616,<a name="line.555"></a>
+<FONT color="green">556</FONT>                                FieldVector3D.angle(createVector(1, 2, 3, 3), createVector(4, 5, 6, 3)).getReal(),<a name="line.556"></a>
+<FONT color="green">557</FONT>                                1.0e-12);<a name="line.557"></a>
+<FONT color="green">558</FONT>            Assert.assertEquals(7.98595620686106654517199e-8,<a name="line.558"></a>
+<FONT color="green">559</FONT>                                FieldVector3D.angle(createVector(1, 2, 3, 3), createVector(2, 4, 6.000001, 3)).getReal(),<a name="line.559"></a>
+<FONT color="green">560</FONT>                                1.0e-12);<a name="line.560"></a>
+<FONT color="green">561</FONT>            Assert.assertEquals(3.14159257373023116985197793156,<a name="line.561"></a>
+<FONT color="green">562</FONT>                                FieldVector3D.angle(createVector(1, 2, 3, 3), createVector(-2, -4, -6.000001, 3)).getReal(),<a name="line.562"></a>
+<FONT color="green">563</FONT>                                1.0e-12);<a name="line.563"></a>
+<FONT color="green">564</FONT>            try {<a name="line.564"></a>
+<FONT color="green">565</FONT>                FieldVector3D.angle(createVector(0, 0, 0, 3), createVector(1, 0, 0, 3));<a name="line.565"></a>
+<FONT color="green">566</FONT>                Assert.fail("an exception should have been thrown");<a name="line.566"></a>
+<FONT color="green">567</FONT>            } catch (MathArithmeticException ae) {<a name="line.567"></a>
+<FONT color="green">568</FONT>                // expected behavior<a name="line.568"></a>
+<FONT color="green">569</FONT>            }<a name="line.569"></a>
+<FONT color="green">570</FONT>        }<a name="line.570"></a>
+<FONT color="green">571</FONT>    <a name="line.571"></a>
+<FONT color="green">572</FONT>        @Test<a name="line.572"></a>
+<FONT color="green">573</FONT>        public void testAccurateDotProduct() {<a name="line.573"></a>
+<FONT color="green">574</FONT>            // the following two vectors are nearly but not exactly orthogonal<a name="line.574"></a>
+<FONT color="green">575</FONT>            // naive dot product (i.e. computing u1.x * u2.x + u1.y * u2.y + u1.z * u2.z<a name="line.575"></a>
+<FONT color="green">576</FONT>            // leads to a result of 0.0, instead of the correct -1.855129...<a name="line.576"></a>
+<FONT color="green">577</FONT>            FieldVector3D&lt;DerivativeStructure&gt; u1 = createVector(-1321008684645961.0 /  268435456.0,<a name="line.577"></a>
+<FONT color="green">578</FONT>                                       -5774608829631843.0 /  268435456.0,<a name="line.578"></a>
+<FONT color="green">579</FONT>                                       -7645843051051357.0 / 8589934592.0, 3);<a name="line.579"></a>
+<FONT color="green">580</FONT>            FieldVector3D&lt;DerivativeStructure&gt; u2 = createVector(-5712344449280879.0 /    2097152.0,<a name="line.580"></a>
+<FONT color="green">581</FONT>                                       -4550117129121957.0 /    2097152.0,<a name="line.581"></a>
+<FONT color="green">582</FONT>                                        8846951984510141.0 /     131072.0, 3);<a name="line.582"></a>
+<FONT color="green">583</FONT>            DerivativeStructure sNaive = u1.getX().multiply(u2.getX()).add(u1.getY().multiply(u2.getY())).add(u1.getZ().multiply(u2.getZ()));<a name="line.583"></a>
+<FONT color="green">584</FONT>            DerivativeStructure sAccurate = FieldVector3D.dotProduct(u1, u2);<a name="line.584"></a>
+<FONT color="green">585</FONT>            Assert.assertEquals(0.0, sNaive.getReal(), 1.0e-30);<a name="line.585"></a>
+<FONT color="green">586</FONT>            Assert.assertEquals(-2088690039198397.0 / 1125899906842624.0, sAccurate.getReal(), 1.0e-16);<a name="line.586"></a>
+<FONT color="green">587</FONT>        }<a name="line.587"></a>
+<FONT color="green">588</FONT>    <a name="line.588"></a>
+<FONT color="green">589</FONT>        @Test<a name="line.589"></a>
+<FONT color="green">590</FONT>        public void testDotProduct() {<a name="line.590"></a>
+<FONT color="green">591</FONT>            // we compare accurate versus naive dot product implementations<a name="line.591"></a>
+<FONT color="green">592</FONT>            // on regular vectors (i.e. not extreme cases like in the previous test)<a name="line.592"></a>
+<FONT color="green">593</FONT>            Well1024a random = new Well1024a(553267312521321234l);<a name="line.593"></a>
+<FONT color="green">594</FONT>            for (int i = 0; i &lt; 10000; ++i) {<a name="line.594"></a>
+<FONT color="green">595</FONT>                double ux = 10000 * random.nextDouble();<a name="line.595"></a>
+<FONT color="green">596</FONT>                double uy = 10000 * random.nextDouble();<a name="line.596"></a>
+<FONT color="green">597</FONT>                double uz = 10000 * random.nextDouble();<a name="line.597"></a>
+<FONT color="green">598</FONT>                double vx = 10000 * random.nextDouble();<a name="line.598"></a>
+<FONT color="green">599</FONT>                double vy = 10000 * random.nextDouble();<a name="line.599"></a>
+<FONT color="green">600</FONT>                double vz = 10000 * random.nextDouble();<a name="line.600"></a>
+<FONT color="green">601</FONT>                double sNaive = ux * vx + uy * vy + uz * vz;<a name="line.601"></a>
+<FONT color="green">602</FONT>    <a name="line.602"></a>
+<FONT color="green">603</FONT>                FieldVector3D&lt;DerivativeStructure&gt; uds = createVector(ux, uy, uz, 3);<a name="line.603"></a>
+<FONT color="green">604</FONT>                FieldVector3D&lt;DerivativeStructure&gt; vds = createVector(vx, vy, vz, 3);<a name="line.604"></a>
+<FONT color="green">605</FONT>                Vector3D v = new Vector3D(vx, vy, vz);<a name="line.605"></a>
+<FONT color="green">606</FONT>    <a name="line.606"></a>
+<FONT color="green">607</FONT>                DerivativeStructure sAccurate = FieldVector3D.dotProduct(uds, vds);<a name="line.607"></a>
+<FONT color="green">608</FONT>                Assert.assertEquals(sNaive, sAccurate.getReal(), 2.5e-16 * sNaive);<a name="line.608"></a>
+<FONT color="green">609</FONT>                Assert.assertEquals(ux + vx, sAccurate.getPartialDerivative(1, 0, 0), 2.5e-16 * sNaive);<a name="line.609"></a>
+<FONT color="green">610</FONT>                Assert.assertEquals(uy + vy, sAccurate.getPartialDerivative(0, 1, 0), 2.5e-16 * sNaive);<a name="line.610"></a>
+<FONT color="green">611</FONT>                Assert.assertEquals(uz + vz, sAccurate.getPartialDerivative(0, 0, 1), 2.5e-16 * sNaive);<a name="line.611"></a>
+<FONT color="green">612</FONT>    <a name="line.612"></a>
+<FONT color="green">613</FONT>                sAccurate = FieldVector3D.dotProduct(uds, v);<a name="line.613"></a>
+<FONT color="green">614</FONT>                Assert.assertEquals(sNaive, sAccurate.getReal(), 2.5e-16 * sNaive);<a name="line.614"></a>
+<FONT color="green">615</FONT>                Assert.assertEquals(vx, sAccurate.getPartialDerivative(1, 0, 0), 2.5e-16 * sNaive);<a name="line.615"></a>
+<FONT color="green">616</FONT>                Assert.assertEquals(vy, sAccurate.getPartialDerivative(0, 1, 0), 2.5e-16 * sNaive);<a name="line.616"></a>
+<FONT color="green">617</FONT>                Assert.assertEquals(vz, sAccurate.getPartialDerivative(0, 0, 1), 2.5e-16 * sNaive);<a name="line.617"></a>
+<FONT color="green">618</FONT>    <a name="line.618"></a>
+<FONT color="green">619</FONT>            }<a name="line.619"></a>
+<FONT color="green">620</FONT>        }<a name="line.620"></a>
+<FONT color="green">621</FONT>    <a name="line.621"></a>
+<FONT color="green">622</FONT>        @Test<a name="line.622"></a>
+<FONT color="green">623</FONT>        public void testAccurateCrossProduct() {<a name="line.623"></a>
+<FONT color="green">624</FONT>            // the vectors u1 and u2 are nearly but not exactly anti-parallel<a name="line.624"></a>
+<FONT color="green">625</FONT>            // (7.31e-16 degrees from 180 degrees) naive cross product (i.e.<a name="line.625"></a>
+<FONT color="green">626</FONT>            // computing u1.x * u2.x + u1.y * u2.y + u1.z * u2.z<a name="line.626"></a>
+<FONT color="green">627</FONT>            // leads to a result of   [0.0009765, -0.0001220, -0.0039062],<a name="line.627"></a>
+<FONT color="green">628</FONT>            // instead of the correct [0.0006913, -0.0001254, -0.0007909]<a name="line.628"></a>
+<FONT color="green">629</FONT>            final FieldVector3D&lt;DerivativeStructure&gt; u1 = createVector(-1321008684645961.0 /   268435456.0,<a name="line.629"></a>
+<FONT color="green">630</FONT>                                             -5774608829631843.0 /   268435456.0,<a name="line.630"></a>
+<FONT color="green">631</FONT>                                             -7645843051051357.0 /  8589934592.0, 3);<a name="line.631"></a>
+<FONT color="green">632</FONT>            final FieldVector3D&lt;DerivativeStructure&gt; u2 = createVector( 1796571811118507.0 /  2147483648.0,<a name="line.632"></a>
+<FONT color="green">633</FONT>                                              7853468008299307.0 /  2147483648.0,<a name="line.633"></a>
+<FONT color="green">634</FONT>                                              2599586637357461.0 / 17179869184.0, 3);<a name="line.634"></a>
+<FONT color="green">635</FONT>            final FieldVector3D&lt;DerivativeStructure&gt; u3 = createVector(12753243807587107.0 / 18446744073709551616.0, <a name="line.635"></a>
+<FONT color="green">636</FONT>                                             -2313766922703915.0 / 18446744073709551616.0, <a name="line.636"></a>
+<FONT color="green">637</FONT>                                              -227970081415313.0 /   288230376151711744.0, 3);<a name="line.637"></a>
+<FONT color="green">638</FONT>            FieldVector3D&lt;DerivativeStructure&gt; cNaive = new FieldVector3D&lt;DerivativeStructure&gt;(u1.getY().multiply(u2.getZ()).subtract(u1.getZ().multiply(u2.getY())),<a name="line.638"></a>
+<FONT color="green">639</FONT>                                           u1.getZ().multiply(u2.getX()).subtract(u1.getX().multiply(u2.getZ())),<a name="line.639"></a>
+<FONT color="green">640</FONT>                                           u1.getX().multiply(u2.getY()).subtract(u1.getY().multiply(u2.getX())));<a name="line.640"></a>
+<FONT color="green">641</FONT>            FieldVector3D&lt;DerivativeStructure&gt; cAccurate = FieldVector3D.crossProduct(u1, u2);<a name="line.641"></a>
+<FONT color="green">642</FONT>            Assert.assertTrue(FieldVector3D.distance(u3, cNaive).getReal() &gt; 2.9 * u3.getNorm().getReal());<a name="line.642"></a>
+<FONT color="green">643</FONT>            Assert.assertEquals(0.0, FieldVector3D.distance(u3, cAccurate).getReal(), 1.0e-30 * cAccurate.getNorm().getReal());<a name="line.643"></a>
+<FONT color="green">644</FONT>        }<a name="line.644"></a>
+<FONT color="green">645</FONT>    <a name="line.645"></a>
+<FONT color="green">646</FONT>        @Test<a name="line.646"></a>
+<FONT color="green">647</FONT>        public void testCrossProduct() {<a name="line.647"></a>
+<FONT color="green">648</FONT>            // we compare accurate versus naive cross product implementations<a name="line.648"></a>
+<FONT color="green">649</FONT>            // on regular vectors (i.e. not extreme cases like in the previous test)<a name="line.649"></a>
+<FONT color="green">650</FONT>            Well1024a random = new Well1024a(885362227452043214l);<a name="line.650"></a>
+<FONT color="green">651</FONT>            for (int i = 0; i &lt; 10000; ++i) {<a name="line.651"></a>
+<FONT color="green">652</FONT>                double ux = random.nextDouble();<a name="line.652"></a>
+<FONT color="green">653</FONT>                double uy = random.nextDouble();<a name="line.653"></a>
+<FONT color="green">654</FONT>                double uz = random.nextDouble();<a name="line.654"></a>
+<FONT color="green">655</FONT>                double vx = random.nextDouble();<a name="line.655"></a>
+<FONT color="green">656</FONT>                double vy = random.nextDouble();<a name="line.656"></a>
+<FONT color="green">657</FONT>                double vz = random.nextDouble();<a name="line.657"></a>
+<FONT color="green">658</FONT>                Vector3D cNaive = new Vector3D(uy * vz - uz * vy, uz * vx - ux * vz, ux * vy - uy * vx);<a name="line.658"></a>
+<FONT color="green">659</FONT>    <a name="line.659"></a>
+<FONT color="green">660</FONT>                FieldVector3D&lt;DerivativeStructure&gt; uds = createVector(ux, uy, uz, 3);<a name="line.660"></a>
+<FONT color="green">661</FONT>                FieldVector3D&lt;DerivativeStructure&gt; vds = createVector(vx, vy, vz, 3);<a name="line.661"></a>
+<FONT color="green">662</FONT>                Vector3D v = new Vector3D(vx, vy, vz);<a name="line.662"></a>
+<FONT color="green">663</FONT>    <a name="line.663"></a>
+<FONT color="green">664</FONT>                checkVector(FieldVector3D.crossProduct(uds, vds),<a name="line.664"></a>
+<FONT color="green">665</FONT>                            cNaive.getX(), cNaive.getY(), cNaive.getZ(),<a name="line.665"></a>
+<FONT color="green">666</FONT>                            0, vz - uz, uy - vy,<a name="line.666"></a>
+<FONT color="green">667</FONT>                            uz - vz, 0, vx - ux,<a name="line.667"></a>
+<FONT color="green">668</FONT>                            vy - uy, ux - vx, 0);<a name="line.668"></a>
+<FONT color="green">669</FONT>    <a name="line.669"></a>
+<FONT color="green">670</FONT>                checkVector(FieldVector3D.crossProduct(uds, v),<a name="line.670"></a>
+<FONT color="green">671</FONT>                            cNaive.getX(), cNaive.getY(), cNaive.getZ(),<a name="line.671"></a>
+<FONT color="green">672</FONT>                              0,  vz, -vy,<a name="line.672"></a>
+<FONT color="green">673</FONT>                            -vz,   0,  vx,<a name="line.673"></a>
+<FONT color="green">674</FONT>                             vy, -vx,   0);<a name="line.674"></a>
+<FONT color="green">675</FONT>    <a name="line.675"></a>
+<FONT color="green">676</FONT>            }<a name="line.676"></a>
+<FONT color="green">677</FONT>        }<a name="line.677"></a>
+<FONT color="green">678</FONT>    <a name="line.678"></a>
+<FONT color="green">679</FONT>        private FieldVector3D&lt;DerivativeStructure&gt; createVector(double x, double y, double z, int params) {<a name="line.679"></a>
+<FONT color="green">680</FONT>            return new FieldVector3D&lt;DerivativeStructure&gt;(new DerivativeStructure(params, 1, 0, x),<a name="line.680"></a>
+<FONT color="green">681</FONT>                                  new DerivativeStructure(params, 1, 1, y),<a name="line.681"></a>
+<FONT color="green">682</FONT>                                  new DerivativeStructure(params, 1, 2, z));<a name="line.682"></a>
+<FONT color="green">683</FONT>        }<a name="line.683"></a>
+<FONT color="green">684</FONT>    <a name="line.684"></a>
+<FONT color="green">685</FONT>        private void checkVector(FieldVector3D&lt;DerivativeStructure&gt; v, double x, double y, double z) {<a name="line.685"></a>
+<FONT color="green">686</FONT>            Assert.assertEquals(x, v.getX().getReal(), 1.0e-12);<a name="line.686"></a>
+<FONT color="green">687</FONT>            Assert.assertEquals(y, v.getY().getReal(), 1.0e-12);<a name="line.687"></a>
+<FONT color="green">688</FONT>            Assert.assertEquals(z, v.getZ().getReal(), 1.0e-12);<a name="line.688"></a>
+<FONT color="green">689</FONT>        }<a name="line.689"></a>
+<FONT color="green">690</FONT>    <a name="line.690"></a>
+<FONT color="green">691</FONT>        private void checkVector(FieldVector3D&lt;DerivativeStructure&gt; v, double x, double y, double z,<a name="line.691"></a>
+<FONT color="green">692</FONT>                                 double dxdx, double dxdy, double dxdz,<a name="line.692"></a>
+<FONT color="green">693</FONT>                                 double dydx, double dydy, double dydz,<a name="line.693"></a>
+<FONT color="green">694</FONT>                                 double dzdx, double dzdy, double dzdz) {<a name="line.694"></a>
+<FONT color="green">695</FONT>            Assert.assertEquals(x, v.getX().getReal(), 1.0e-12);<a name="line.695"></a>
+<FONT color="green">696</FONT>            Assert.assertEquals(y, v.getY().getReal(), 1.0e-12);<a name="line.696"></a>
+<FONT color="green">697</FONT>            Assert.assertEquals(z, v.getZ().getReal(), 1.0e-12);<a name="line.697"></a>
+<FONT color="green">698</FONT>            Assert.assertEquals(dxdx, v.getX().getPartialDerivative(1, 0, 0), 1.0e-12);<a name="line.698"></a>
+<FONT color="green">699</FONT>            Assert.assertEquals(dxdy, v.getX().getPartialDerivative(0, 1, 0), 1.0e-12);<a name="line.699"></a>
+<FONT color="green">700</FONT>            Assert.assertEquals(dxdz, v.getX().getPartialDerivative(0, 0, 1), 1.0e-12);<a name="line.700"></a>
+<FONT color="green">701</FONT>            Assert.assertEquals(dydx, v.getY().getPartialDerivative(1, 0, 0), 1.0e-12);<a name="line.701"></a>
+<FONT color="green">702</FONT>            Assert.assertEquals(dydy, v.getY().getPartialDerivative(0, 1, 0), 1.0e-12);<a name="line.702"></a>
+<FONT color="green">703</FONT>            Assert.assertEquals(dydz, v.getY().getPartialDerivative(0, 0, 1), 1.0e-12);<a name="line.703"></a>
+<FONT color="green">704</FONT>            Assert.assertEquals(dzdx, v.getZ().getPartialDerivative(1, 0, 0), 1.0e-12);<a name="line.704"></a>
+<FONT color="green">705</FONT>            Assert.assertEquals(dzdy, v.getZ().getPartialDerivative(0, 1, 0), 1.0e-12);<a name="line.705"></a>
+<FONT color="green">706</FONT>            Assert.assertEquals(dzdz, v.getZ().getPartialDerivative(0, 0, 1), 1.0e-12);<a name="line.706"></a>
+<FONT color="green">707</FONT>        }<a name="line.707"></a>
+<FONT color="green">708</FONT>    <a name="line.708"></a>
+<FONT color="green">709</FONT>        private void checkVector(FieldVector3D&lt;DerivativeStructure&gt; v, double x, double y, double z,<a name="line.709"></a>
+<FONT color="green">710</FONT>                                 double dxdx, double dxdy, double dxdz, double dxdt,<a name="line.710"></a>
+<FONT color="green">711</FONT>                                 double dydx, double dydy, double dydz, double dydt,<a name="line.711"></a>
+<FONT color="green">712</FONT>                                 double dzdx, double dzdy, double dzdz, double dzdt) {<a name="line.712"></a>
+<FONT color="green">713</FONT>            Assert.assertEquals(x, v.getX().getReal(), 1.0e-12);<a name="line.713"></a>
+<FONT color="green">714</FONT>            Assert.assertEquals(y, v.getY().getReal(), 1.0e-12);<a name="line.714"></a>
+<FONT color="green">715</FONT>            Assert.assertEquals(z, v.getZ().getReal(), 1.0e-12);<a name="line.715"></a>
+<FONT color="green">716</FONT>            Assert.assertEquals(dxdx, v.getX().getPartialDerivative(1, 0, 0, 0), 1.0e-12);<a name="line.716"></a>
+<FONT color="green">717</FONT>            Assert.assertEquals(dxdy, v.getX().getPartialDerivative(0, 1, 0, 0), 1.0e-12);<a name="line.717"></a>
+<FONT color="green">718</FONT>            Assert.assertEquals(dxdz, v.getX().getPartialDerivative(0, 0, 1, 0), 1.0e-12);<a name="line.718"></a>
+<FONT color="green">719</FONT>            Assert.assertEquals(dxdt, v.getX().getPartialDerivative(0, 0, 0, 1), 1.0e-12);<a name="line.719"></a>
+<FONT color="green">720</FONT>            Assert.assertEquals(dydx, v.getY().getPartialDerivative(1, 0, 0, 0), 1.0e-12);<a name="line.720"></a>
+<FONT color="green">721</FONT>            Assert.assertEquals(dydy, v.getY().getPartialDerivative(0, 1, 0, 0), 1.0e-12);<a name="line.721"></a>
+<FONT color="green">722</FONT>            Assert.assertEquals(dydz, v.getY().getPartialDerivative(0, 0, 1, 0), 1.0e-12);<a name="line.722"></a>
+<FONT color="green">723</FONT>            Assert.assertEquals(dydt, v.getY().getPartialDerivative(0, 0, 0, 1), 1.0e-12);<a name="line.723"></a>
+<FONT color="green">724</FONT>            Assert.assertEquals(dzdx, v.getZ().getPartialDerivative(1, 0, 0, 0), 1.0e-12);<a name="line.724"></a>
+<FONT color="green">725</FONT>            Assert.assertEquals(dzdy, v.getZ().getPartialDerivative(0, 1, 0, 0), 1.0e-12);<a name="line.725"></a>
+<FONT color="green">726</FONT>            Assert.assertEquals(dzdz, v.getZ().getPartialDerivative(0, 0, 1, 0), 1.0e-12);<a name="line.726"></a>
+<FONT color="green">727</FONT>            Assert.assertEquals(dzdt, v.getZ().getPartialDerivative(0, 0, 0, 1), 1.0e-12);<a name="line.727"></a>
+<FONT color="green">728</FONT>        }<a name="line.728"></a>
+<FONT color="green">729</FONT>    <a name="line.729"></a>
+<FONT color="green">730</FONT>    }<a name="line.730"></a>
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Modified: websites/production/commons/content/proper/commons-math/testapidocs/src-html/org/apache/commons/math3/geometry/euclidean/threed/LineTest.html
==============================================================================
--- websites/production/commons/content/proper/commons-math/testapidocs/src-html/org/apache/commons/math3/geometry/euclidean/threed/LineTest.html (original)
+++ websites/production/commons/content/proper/commons-math/testapidocs/src-html/org/apache/commons/math3/geometry/euclidean/threed/LineTest.html Sat Apr  6 23:42:01 2013
@@ -132,7 +132,23 @@
 <FONT color="green">129</FONT>            Assert.assertNull(l.intersection(new Line(new Vector3D(0, -4, 0), new Vector3D(1, -4, 0))));<a name="line.129"></a>
 <FONT color="green">130</FONT>        }<a name="line.130"></a>
 <FONT color="green">131</FONT>    <a name="line.131"></a>
-<FONT color="green">132</FONT>    }<a name="line.132"></a>
+<FONT color="green">132</FONT>        @Test<a name="line.132"></a>
+<FONT color="green">133</FONT>        public void testRevert() {<a name="line.133"></a>
+<FONT color="green">134</FONT>            <a name="line.134"></a>
+<FONT color="green">135</FONT>            // setup<a name="line.135"></a>
+<FONT color="green">136</FONT>            Line line = new Line(new Vector3D(1653345.6696423641, 6170370.041579291, 90000),<a name="line.136"></a>
+<FONT color="green">137</FONT>                                 new Vector3D(1650757.5050732433, 6160710.879908984, 0.9));<a name="line.137"></a>
+<FONT color="green">138</FONT>            Vector3D expected = line.getDirection().negate();<a name="line.138"></a>
+<FONT color="green">139</FONT>    <a name="line.139"></a>
+<FONT color="green">140</FONT>            // action<a name="line.140"></a>
+<FONT color="green">141</FONT>            Line reverted = line.revert();<a name="line.141"></a>
+<FONT color="green">142</FONT>    <a name="line.142"></a>
+<FONT color="green">143</FONT>            // verify<a name="line.143"></a>
+<FONT color="green">144</FONT>            Assert.assertArrayEquals(expected.toArray(), reverted.getDirection().toArray(), 0);<a name="line.144"></a>
+<FONT color="green">145</FONT>    <a name="line.145"></a>
+<FONT color="green">146</FONT>        }<a name="line.146"></a>
+<FONT color="green">147</FONT>    <a name="line.147"></a>
+<FONT color="green">148</FONT>    }<a name="line.148"></a>
 
 
 



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