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1 <HTML>
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2 <BODY BGCOLOR="white">
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3 <PRE>
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4 <FONT color="green">001</FONT> /*<a name="line.1"></a>
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5 <FONT color="green">002</FONT> * Licensed to the Apache Software Foundation (ASF) under one or more<a name="line.2"></a>
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6 <FONT color="green">003</FONT> * contributor license agreements. See the NOTICE file distributed with<a name="line.3"></a>
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7 <FONT color="green">004</FONT> * this work for additional information regarding copyright ownership.<a name="line.4"></a>
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8 <FONT color="green">005</FONT> * The ASF licenses this file to You under the Apache License, Version 2.0<a name="line.5"></a>
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9 <FONT color="green">006</FONT> * (the "License"); you may not use this file except in compliance with<a name="line.6"></a>
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10 <FONT color="green">007</FONT> * the License. You may obtain a copy of the License at<a name="line.7"></a>
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11 <FONT color="green">008</FONT> *<a name="line.8"></a>
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12 <FONT color="green">009</FONT> * http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a>
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13 <FONT color="green">010</FONT> *<a name="line.10"></a>
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14 <FONT color="green">011</FONT> * Unless required by applicable law or agreed to in writing, software<a name="line.11"></a>
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15 <FONT color="green">012</FONT> * distributed under the License is distributed on an "AS IS" BASIS,<a name="line.12"></a>
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16 <FONT color="green">013</FONT> * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.<a name="line.13"></a>
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17 <FONT color="green">014</FONT> * See the License for the specific language governing permissions and<a name="line.14"></a>
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18 <FONT color="green">015</FONT> * limitations under the License.<a name="line.15"></a>
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19 <FONT color="green">016</FONT> */<a name="line.16"></a>
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20 <FONT color="green">017</FONT> <a name="line.17"></a>
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21 <FONT color="green">018</FONT> package org.apache.commons.math.complex;<a name="line.18"></a>
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22 <FONT color="green">019</FONT> <a name="line.19"></a>
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23 <FONT color="green">020</FONT> import org.apache.commons.math.MathRuntimeException;<a name="line.20"></a>
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24 <FONT color="green">021</FONT> <a name="line.21"></a>
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25 <FONT color="green">022</FONT> /**<a name="line.22"></a>
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26 <FONT color="green">023</FONT> * Static implementations of common<a name="line.23"></a>
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27 <FONT color="green">024</FONT> * {@link org.apache.commons.math.complex.Complex} utilities functions.<a name="line.24"></a>
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28 <FONT color="green">025</FONT> *<a name="line.25"></a>
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29 <FONT color="green">026</FONT> * @version $Revision: 811685 $ $Date: 2009-09-05 13:36:48 -0400 (Sat, 05 Sep 2009) $<a name="line.26"></a>
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30 <FONT color="green">027</FONT> */<a name="line.27"></a>
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31 <FONT color="green">028</FONT> public class ComplexUtils {<a name="line.28"></a>
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32 <FONT color="green">029</FONT> <a name="line.29"></a>
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33 <FONT color="green">030</FONT> /**<a name="line.30"></a>
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34 <FONT color="green">031</FONT> * Default constructor.<a name="line.31"></a>
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35 <FONT color="green">032</FONT> */<a name="line.32"></a>
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36 <FONT color="green">033</FONT> private ComplexUtils() {<a name="line.33"></a>
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37 <FONT color="green">034</FONT> super();<a name="line.34"></a>
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38 <FONT color="green">035</FONT> }<a name="line.35"></a>
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39 <FONT color="green">036</FONT> <a name="line.36"></a>
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40 <FONT color="green">037</FONT> /**<a name="line.37"></a>
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41 <FONT color="green">038</FONT> * Creates a complex number from the given polar representation.<a name="line.38"></a>
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42 <FONT color="green">039</FONT> * <p><a name="line.39"></a>
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43 <FONT color="green">040</FONT> * The value returned is <code>r&middot;e<sup>i&middot;theta</sup></code>,<a name="line.40"></a>
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44 <FONT color="green">041</FONT> * computed as <code>r&middot;cos(theta) + r&middot;sin(theta)i</code></p><a name="line.41"></a>
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45 <FONT color="green">042</FONT> * <p><a name="line.42"></a>
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46 <FONT color="green">043</FONT> * If either <code>r</code> or <code>theta</code> is NaN, or<a name="line.43"></a>
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47 <FONT color="green">044</FONT> * <code>theta</code> is infinite, {@link Complex#NaN} is returned.</p><a name="line.44"></a>
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48 <FONT color="green">045</FONT> * <p><a name="line.45"></a>
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49 <FONT color="green">046</FONT> * If <code>r</code> is infinite and <code>theta</code> is finite,<a name="line.46"></a>
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50 <FONT color="green">047</FONT> * infinite or NaN values may be returned in parts of the result, following<a name="line.47"></a>
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51 <FONT color="green">048</FONT> * the rules for double arithmetic.<pre><a name="line.48"></a>
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52 <FONT color="green">049</FONT> * Examples:<a name="line.49"></a>
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53 <FONT color="green">050</FONT> * <code><a name="line.50"></a>
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54 <FONT color="green">051</FONT> * polar2Complex(INFINITY, &pi;/4) = INFINITY + INFINITY i<a name="line.51"></a>
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55 <FONT color="green">052</FONT> * polar2Complex(INFINITY, 0) = INFINITY + NaN i<a name="line.52"></a>
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56 <FONT color="green">053</FONT> * polar2Complex(INFINITY, -&pi;/4) = INFINITY - INFINITY i<a name="line.53"></a>
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57 <FONT color="green">054</FONT> * polar2Complex(INFINITY, 5&pi;/4) = -INFINITY - INFINITY i </code></pre></p><a name="line.54"></a>
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58 <FONT color="green">055</FONT> *<a name="line.55"></a>
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59 <FONT color="green">056</FONT> * @param r the modulus of the complex number to create<a name="line.56"></a>
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60 <FONT color="green">057</FONT> * @param theta the argument of the complex number to create<a name="line.57"></a>
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61 <FONT color="green">058</FONT> * @return <code>r&middot;e<sup>i&middot;theta</sup></code><a name="line.58"></a>
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62 <FONT color="green">059</FONT> * @throws IllegalArgumentException if r is negative<a name="line.59"></a>
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63 <FONT color="green">060</FONT> * @since 1.1<a name="line.60"></a>
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64 <FONT color="green">061</FONT> */<a name="line.61"></a>
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65 <FONT color="green">062</FONT> public static Complex polar2Complex(double r, double theta) {<a name="line.62"></a>
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66 <FONT color="green">063</FONT> if (r < 0) {<a name="line.63"></a>
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67 <FONT color="green">064</FONT> throw MathRuntimeException.createIllegalArgumentException(<a name="line.64"></a>
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68 <FONT color="green">065</FONT> "negative complex module {0}", r);<a name="line.65"></a>
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69 <FONT color="green">066</FONT> }<a name="line.66"></a>
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70 <FONT color="green">067</FONT> return new Complex(r * Math.cos(theta), r * Math.sin(theta));<a name="line.67"></a>
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71 <FONT color="green">068</FONT> }<a name="line.68"></a>
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72 <FONT color="green">069</FONT> <a name="line.69"></a>
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73 <FONT color="green">070</FONT> }<a name="line.70"></a>
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134 </PRE>
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135 </BODY>
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136 </HTML>
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