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| author | dwinter |
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| date | Tue, 04 Jan 2011 10:02:07 +0100 |
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<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.math.linear;<a name="line.18"></a> <FONT color="green">019</FONT> import java.io.Serializable;<a name="line.19"></a> <FONT color="green">020</FONT> import java.math.BigDecimal;<a name="line.20"></a> <FONT color="green">021</FONT> <a name="line.21"></a> <FONT color="green">022</FONT> import org.apache.commons.math.MathRuntimeException;<a name="line.22"></a> <FONT color="green">023</FONT> <a name="line.23"></a> <FONT color="green">024</FONT> /**<a name="line.24"></a> <FONT color="green">025</FONT> * Implementation of {@link BigMatrix} using a BigDecimal[][] array to store entries<a name="line.25"></a> <FONT color="green">026</FONT> * and <a href="http://www.math.gatech.edu/~bourbaki/math2601/Web-notes/2num.pdf"><a name="line.26"></a> <FONT color="green">027</FONT> * LU decompostion</a> to support linear system<a name="line.27"></a> <FONT color="green">028</FONT> * solution and inverse.<a name="line.28"></a> <FONT color="green">029</FONT> * <p><a name="line.29"></a> <FONT color="green">030</FONT> * The LU decompostion is performed as needed, to support the following operations: <ul><a name="line.30"></a> <FONT color="green">031</FONT> * <li>solve</li><a name="line.31"></a> <FONT color="green">032</FONT> * <li>isSingular</li><a name="line.32"></a> <FONT color="green">033</FONT> * <li>getDeterminant</li><a name="line.33"></a> <FONT color="green">034</FONT> * <li>inverse</li> </ul></p><a name="line.34"></a> <FONT color="green">035</FONT> * <p><a name="line.35"></a> <FONT color="green">036</FONT> * <strong>Usage notes</strong>:<br><a name="line.36"></a> <FONT color="green">037</FONT> * <ul><li><a name="line.37"></a> <FONT color="green">038</FONT> * The LU decomposition is stored and reused on subsequent calls. If matrix<a name="line.38"></a> <FONT color="green">039</FONT> * data are modified using any of the public setXxx methods, the saved<a name="line.39"></a> <FONT color="green">040</FONT> * decomposition is discarded. If data are modified via references to the<a name="line.40"></a> <FONT color="green">041</FONT> * underlying array obtained using <code>getDataRef()</code>, then the stored<a name="line.41"></a> <FONT color="green">042</FONT> * LU decomposition will not be discarded. In this case, you need to<a name="line.42"></a> <FONT color="green">043</FONT> * explicitly invoke <code>LUDecompose()</code> to recompute the decomposition<a name="line.43"></a> <FONT color="green">044</FONT> * before using any of the methods above.</li><a name="line.44"></a> <FONT color="green">045</FONT> * <li><a name="line.45"></a> <FONT color="green">046</FONT> * As specified in the {@link BigMatrix} interface, matrix element indexing<a name="line.46"></a> <FONT color="green">047</FONT> * is 0-based -- e.g., <code>getEntry(0, 0)</code><a name="line.47"></a> <FONT color="green">048</FONT> * returns the element in the first row, first column of the matrix.</li></ul></p><a name="line.48"></a> <FONT color="green">049</FONT> *<a name="line.49"></a> <FONT color="green">050</FONT> * @deprecated as of 2.0, replaced by {@link Array2DRowFieldMatrix} with a {@link<a name="line.50"></a> <FONT color="green">051</FONT> * org.apache.commons.math.util.BigReal} parameter<a name="line.51"></a> <FONT color="green">052</FONT> * @version $Revision: 811833 $ $Date: 2009-09-06 12:27:50 -0400 (Sun, 06 Sep 2009) $<a name="line.52"></a> <FONT color="green">053</FONT> */<a name="line.53"></a> <FONT color="green">054</FONT> @Deprecated<a name="line.54"></a> <FONT color="green">055</FONT> public class BigMatrixImpl implements BigMatrix, Serializable {<a name="line.55"></a> <FONT color="green">056</FONT> <a name="line.56"></a> <FONT color="green">057</FONT> /** BigDecimal 0 */<a name="line.57"></a> <FONT color="green">058</FONT> static final BigDecimal ZERO = new BigDecimal(0);<a name="line.58"></a> <FONT color="green">059</FONT> <a name="line.59"></a> <FONT color="green">060</FONT> /** BigDecimal 1 */<a name="line.60"></a> <FONT color="green">061</FONT> static final BigDecimal ONE = new BigDecimal(1);<a name="line.61"></a> <FONT color="green">062</FONT> <a name="line.62"></a> <FONT color="green">063</FONT> /** Bound to determine effective singularity in LU decomposition */<a name="line.63"></a> <FONT color="green">064</FONT> private static final BigDecimal TOO_SMALL = new BigDecimal(10E-12);<a name="line.64"></a> <FONT color="green">065</FONT> <a name="line.65"></a> <FONT color="green">066</FONT> /** Serialization id */<a name="line.66"></a> <FONT color="green">067</FONT> private static final long serialVersionUID = -1011428905656140431L;<a name="line.67"></a> <FONT color="green">068</FONT> <a name="line.68"></a> <FONT color="green">069</FONT> /** Entries of the matrix */<a name="line.69"></a> <FONT color="green">070</FONT> protected BigDecimal data[][] = null;<a name="line.70"></a> <FONT color="green">071</FONT> <a name="line.71"></a> <FONT color="green">072</FONT> /** Entries of cached LU decomposition.<a name="line.72"></a> <FONT color="green">073</FONT> * All updates to data (other than luDecompose()) *must* set this to null<a name="line.73"></a> <FONT color="green">074</FONT> */<a name="line.74"></a> <FONT color="green">075</FONT> protected BigDecimal lu[][] = null;<a name="line.75"></a> <FONT color="green">076</FONT> <a name="line.76"></a> <FONT color="green">077</FONT> /** Permutation associated with LU decomposition */<a name="line.77"></a> <FONT color="green">078</FONT> protected int[] permutation = null;<a name="line.78"></a> <FONT color="green">079</FONT> <a name="line.79"></a> <FONT color="green">080</FONT> /** Parity of the permutation associated with the LU decomposition */<a name="line.80"></a> <FONT color="green">081</FONT> protected int parity = 1;<a name="line.81"></a> <FONT color="green">082</FONT> <a name="line.82"></a> <FONT color="green">083</FONT> /** Rounding mode for divisions **/<a name="line.83"></a> <FONT color="green">084</FONT> private int roundingMode = BigDecimal.ROUND_HALF_UP;<a name="line.84"></a> <FONT color="green">085</FONT> <a name="line.85"></a> <FONT color="green">086</FONT> /*** BigDecimal scale ***/<a name="line.86"></a> <FONT color="green">087</FONT> private int scale = 64;<a name="line.87"></a> <FONT color="green">088</FONT> <a name="line.88"></a> <FONT color="green">089</FONT> /**<a name="line.89"></a> <FONT color="green">090</FONT> * Creates a matrix with no data<a name="line.90"></a> <FONT color="green">091</FONT> */<a name="line.91"></a> <FONT color="green">092</FONT> public BigMatrixImpl() {<a name="line.92"></a> <FONT color="green">093</FONT> }<a name="line.93"></a> <FONT color="green">094</FONT> <a name="line.94"></a> <FONT color="green">095</FONT> /**<a name="line.95"></a> <FONT color="green">096</FONT> * Create a new BigMatrix with the supplied row and column dimensions.<a name="line.96"></a> <FONT color="green">097</FONT> *<a name="line.97"></a> <FONT color="green">098</FONT> * @param rowDimension the number of rows in the new matrix<a name="line.98"></a> <FONT color="green">099</FONT> * @param columnDimension the number of columns in the new matrix<a name="line.99"></a> <FONT color="green">100</FONT> * @throws IllegalArgumentException if row or column dimension is not<a name="line.100"></a> <FONT color="green">101</FONT> * positive<a name="line.101"></a> <FONT color="green">102</FONT> */<a name="line.102"></a> <FONT color="green">103</FONT> public BigMatrixImpl(int rowDimension, int columnDimension) {<a name="line.103"></a> <FONT color="green">104</FONT> if (rowDimension <= 0 ) {<a name="line.104"></a> <FONT color="green">105</FONT> throw MathRuntimeException.createIllegalArgumentException(<a name="line.105"></a> <FONT color="green">106</FONT> "invalid row dimension {0} (must be positive)",<a name="line.106"></a> <FONT color="green">107</FONT> rowDimension);<a name="line.107"></a> <FONT color="green">108</FONT> }<a name="line.108"></a> <FONT color="green">109</FONT> if (columnDimension <= 0) {<a name="line.109"></a> <FONT color="green">110</FONT> throw MathRuntimeException.createIllegalArgumentException(<a name="line.110"></a> <FONT color="green">111</FONT> "invalid column dimension {0} (must be positive)",<a name="line.111"></a> <FONT color="green">112</FONT> columnDimension);<a name="line.112"></a> <FONT color="green">113</FONT> }<a name="line.113"></a> <FONT color="green">114</FONT> data = new BigDecimal[rowDimension][columnDimension];<a name="line.114"></a> <FONT color="green">115</FONT> lu = null;<a name="line.115"></a> <FONT color="green">116</FONT> }<a name="line.116"></a> <FONT color="green">117</FONT> <a name="line.117"></a> <FONT color="green">118</FONT> /**<a name="line.118"></a> <FONT color="green">119</FONT> * Create a new BigMatrix using <code>d</code> as the underlying<a name="line.119"></a> <FONT color="green">120</FONT> * data array.<a name="line.120"></a> <FONT color="green">121</FONT> * <p>The input array is copied, not referenced. This constructor has<a name="line.121"></a> <FONT color="green">122</FONT> * the same effect as calling {@link #BigMatrixImpl(BigDecimal[][], boolean)}<a name="line.122"></a> <FONT color="green">123</FONT> * with the second argument set to <code>true</code>.</p><a name="line.123"></a> <FONT color="green">124</FONT> *<a name="line.124"></a> <FONT color="green">125</FONT> * @param d data for new matrix<a name="line.125"></a> <FONT color="green">126</FONT> * @throws IllegalArgumentException if <code>d</code> is not rectangular<a name="line.126"></a> <FONT color="green">127</FONT> * (not all rows have the same length) or empty<a name="line.127"></a> <FONT color="green">128</FONT> * @throws NullPointerException if <code>d</code> is null<a name="line.128"></a> <FONT color="green">129</FONT> */<a name="line.129"></a> <FONT color="green">130</FONT> public BigMatrixImpl(BigDecimal[][] d) {<a name="line.130"></a> <FONT color="green">131</FONT> this.copyIn(d);<a name="line.131"></a> <FONT color="green">132</FONT> lu = null;<a name="line.132"></a> <FONT color="green">133</FONT> }<a name="line.133"></a> <FONT color="green">134</FONT> <a name="line.134"></a> <FONT color="green">135</FONT> /**<a name="line.135"></a> <FONT color="green">136</FONT> * Create a new BigMatrix using the input array as the underlying<a name="line.136"></a> <FONT color="green">137</FONT> * data array.<a name="line.137"></a> <FONT color="green">138</FONT> * <p>If an array is built specially in order to be embedded in a<a name="line.138"></a> <FONT color="green">139</FONT> * BigMatrix and not used directly, the <code>copyArray</code> may be<a name="line.139"></a> <FONT color="green">140</FONT> * set to <code>false</code. This will prevent the copying and improve<a name="line.140"></a> <FONT color="green">141</FONT> * performance as no new array will be built and no data will be copied.</p><a name="line.141"></a> <FONT color="green">142</FONT> * @param d data for new matrix<a name="line.142"></a> <FONT color="green">143</FONT> * @param copyArray if true, the input array will be copied, otherwise<a name="line.143"></a> <FONT color="green">144</FONT> * it will be referenced<a name="line.144"></a> <FONT color="green">145</FONT> * @throws IllegalArgumentException if <code>d</code> is not rectangular<a name="line.145"></a> <FONT color="green">146</FONT> * (not all rows have the same length) or empty<a name="line.146"></a> <FONT color="green">147</FONT> * @throws NullPointerException if <code>d</code> is null<a name="line.147"></a> <FONT color="green">148</FONT> * @see #BigMatrixImpl(BigDecimal[][])<a name="line.148"></a> <FONT color="green">149</FONT> */<a name="line.149"></a> <FONT color="green">150</FONT> public BigMatrixImpl(BigDecimal[][] d, boolean copyArray) {<a name="line.150"></a> <FONT color="green">151</FONT> if (copyArray) {<a name="line.151"></a> <FONT color="green">152</FONT> copyIn(d);<a name="line.152"></a> <FONT color="green">153</FONT> } else {<a name="line.153"></a> <FONT color="green">154</FONT> if (d == null) {<a name="line.154"></a> <FONT color="green">155</FONT> throw new NullPointerException();<a name="line.155"></a> <FONT color="green">156</FONT> }<a name="line.156"></a> <FONT color="green">157</FONT> final int nRows = d.length;<a name="line.157"></a> <FONT color="green">158</FONT> if (nRows == 0) {<a name="line.158"></a> <FONT color="green">159</FONT> throw MathRuntimeException.createIllegalArgumentException("matrix must have at least one row");<a name="line.159"></a> <FONT color="green">160</FONT> }<a name="line.160"></a> <FONT color="green">161</FONT> <a name="line.161"></a> <FONT color="green">162</FONT> final int nCols = d[0].length;<a name="line.162"></a> <FONT color="green">163</FONT> if (nCols == 0) {<a name="line.163"></a> <FONT color="green">164</FONT> throw MathRuntimeException.createIllegalArgumentException("matrix must have at least one column");<a name="line.164"></a> <FONT color="green">165</FONT> }<a name="line.165"></a> <FONT color="green">166</FONT> for (int r = 1; r < nRows; r++) {<a name="line.166"></a> <FONT color="green">167</FONT> if (d[r].length != nCols) {<a name="line.167"></a> <FONT color="green">168</FONT> throw MathRuntimeException.createIllegalArgumentException(<a name="line.168"></a> <FONT color="green">169</FONT> "some rows have length {0} while others have length {1}",<a name="line.169"></a> <FONT color="green">170</FONT> nCols, d[r].length);<a name="line.170"></a> <FONT color="green">171</FONT> }<a name="line.171"></a> <FONT color="green">172</FONT> }<a name="line.172"></a> <FONT color="green">173</FONT> data = d;<a name="line.173"></a> <FONT color="green">174</FONT> }<a name="line.174"></a> <FONT color="green">175</FONT> lu = null;<a name="line.175"></a> <FONT color="green">176</FONT> }<a name="line.176"></a> <FONT color="green">177</FONT> <a name="line.177"></a> <FONT color="green">178</FONT> /**<a name="line.178"></a> <FONT color="green">179</FONT> * Create a new BigMatrix using <code>d</code> as the underlying<a name="line.179"></a> <FONT color="green">180</FONT> * data array.<a name="line.180"></a> <FONT color="green">181</FONT> * <p>Since the underlying array will hold <code>BigDecimal</code><a name="line.181"></a> <FONT color="green">182</FONT> * instances, it will be created.</p><a name="line.182"></a> <FONT color="green">183</FONT> *<a name="line.183"></a> <FONT color="green">184</FONT> * @param d data for new matrix<a name="line.184"></a> <FONT color="green">185</FONT> * @throws IllegalArgumentException if <code>d</code> is not rectangular<a name="line.185"></a> <FONT color="green">186</FONT> * (not all rows have the same length) or empty<a name="line.186"></a> <FONT color="green">187</FONT> * @throws NullPointerException if <code>d</code> is null<a name="line.187"></a> <FONT color="green">188</FONT> */<a name="line.188"></a> <FONT color="green">189</FONT> public BigMatrixImpl(double[][] d) {<a name="line.189"></a> <FONT color="green">190</FONT> final int nRows = d.length;<a name="line.190"></a> <FONT color="green">191</FONT> if (nRows == 0) {<a name="line.191"></a> <FONT color="green">192</FONT> throw MathRuntimeException.createIllegalArgumentException("matrix must have at least one row");<a name="line.192"></a> <FONT color="green">193</FONT> }<a name="line.193"></a> <FONT color="green">194</FONT> <a name="line.194"></a> <FONT color="green">195</FONT> final int nCols = d[0].length;<a name="line.195"></a> <FONT color="green">196</FONT> if (nCols == 0) {<a name="line.196"></a> <FONT color="green">197</FONT> throw MathRuntimeException.createIllegalArgumentException("matrix must have at least one column");<a name="line.197"></a> <FONT color="green">198</FONT> }<a name="line.198"></a> <FONT color="green">199</FONT> for (int row = 1; row < nRows; row++) {<a name="line.199"></a> <FONT color="green">200</FONT> if (d[row].length != nCols) {<a name="line.200"></a> <FONT color="green">201</FONT> throw MathRuntimeException.createIllegalArgumentException(<a name="line.201"></a> <FONT color="green">202</FONT> "some rows have length {0} while others have length {1}",<a name="line.202"></a> <FONT color="green">203</FONT> nCols, d[row].length);<a name="line.203"></a> <FONT color="green">204</FONT> }<a name="line.204"></a> <FONT color="green">205</FONT> }<a name="line.205"></a> <FONT color="green">206</FONT> this.copyIn(d);<a name="line.206"></a> <FONT color="green">207</FONT> lu = null;<a name="line.207"></a> <FONT color="green">208</FONT> }<a name="line.208"></a> <FONT color="green">209</FONT> <a name="line.209"></a> <FONT color="green">210</FONT> /**<a name="line.210"></a> <FONT color="green">211</FONT> * Create a new BigMatrix using the values represented by the strings in<a name="line.211"></a> <FONT color="green">212</FONT> * <code>d</code> as the underlying data array.<a name="line.212"></a> <FONT color="green">213</FONT> *<a name="line.213"></a> <FONT color="green">214</FONT> * @param d data for new matrix<a name="line.214"></a> <FONT color="green">215</FONT> * @throws IllegalArgumentException if <code>d</code> is not rectangular<a name="line.215"></a> <FONT color="green">216</FONT> * (not all rows have the same length) or empty<a name="line.216"></a> <FONT color="green">217</FONT> * @throws NullPointerException if <code>d</code> is null<a name="line.217"></a> <FONT color="green">218</FONT> */<a name="line.218"></a> <FONT color="green">219</FONT> public BigMatrixImpl(String[][] d) {<a name="line.219"></a> <FONT color="green">220</FONT> final int nRows = d.length;<a name="line.220"></a> <FONT color="green">221</FONT> if (nRows == 0) {<a name="line.221"></a> <FONT color="green">222</FONT> throw MathRuntimeException.createIllegalArgumentException("matrix must have at least one row");<a name="line.222"></a> <FONT color="green">223</FONT> }<a name="line.223"></a> <FONT color="green">224</FONT> <a name="line.224"></a> <FONT color="green">225</FONT> final int nCols = d[0].length;<a name="line.225"></a> <FONT color="green">226</FONT> if (nCols == 0) {<a name="line.226"></a> <FONT color="green">227</FONT> throw MathRuntimeException.createIllegalArgumentException("matrix must have at least one column");<a name="line.227"></a> <FONT color="green">228</FONT> }<a name="line.228"></a> <FONT color="green">229</FONT> for (int row = 1; row < nRows; row++) {<a name="line.229"></a> <FONT color="green">230</FONT> if (d[row].length != nCols) {<a name="line.230"></a> <FONT color="green">231</FONT> throw MathRuntimeException.createIllegalArgumentException(<a name="line.231"></a> <FONT color="green">232</FONT> "some rows have length {0} while others have length {1}",<a name="line.232"></a> <FONT color="green">233</FONT> nCols, d[row].length);<a name="line.233"></a> <FONT color="green">234</FONT> }<a name="line.234"></a> <FONT color="green">235</FONT> }<a name="line.235"></a> <FONT color="green">236</FONT> this.copyIn(d);<a name="line.236"></a> <FONT color="green">237</FONT> lu = null;<a name="line.237"></a> <FONT color="green">238</FONT> }<a name="line.238"></a> <FONT color="green">239</FONT> <a name="line.239"></a> <FONT color="green">240</FONT> /**<a name="line.240"></a> <FONT color="green">241</FONT> * Create a new (column) BigMatrix using <code>v</code> as the<a name="line.241"></a> <FONT color="green">242</FONT> * data for the unique column of the <code>v.length x 1</code> matrix<a name="line.242"></a> <FONT color="green">243</FONT> * created.<a name="line.243"></a> <FONT color="green">244</FONT> * <p><a name="line.244"></a> <FONT color="green">245</FONT> * The input array is copied, not referenced.</p><a name="line.245"></a> <FONT color="green">246</FONT> *<a name="line.246"></a> <FONT color="green">247</FONT> * @param v column vector holding data for new matrix<a name="line.247"></a> <FONT color="green">248</FONT> */<a name="line.248"></a> <FONT color="green">249</FONT> public BigMatrixImpl(BigDecimal[] v) {<a name="line.249"></a> <FONT color="green">250</FONT> final int nRows = v.length;<a name="line.250"></a> <FONT color="green">251</FONT> data = new BigDecimal[nRows][1];<a name="line.251"></a> <FONT color="green">252</FONT> for (int row = 0; row < nRows; row++) {<a name="line.252"></a> <FONT color="green">253</FONT> data[row][0] = v[row];<a name="line.253"></a> <FONT color="green">254</FONT> }<a name="line.254"></a> <FONT color="green">255</FONT> }<a name="line.255"></a> <FONT color="green">256</FONT> <a name="line.256"></a> <FONT color="green">257</FONT> /**<a name="line.257"></a> <FONT color="green">258</FONT> * Create a new BigMatrix which is a copy of this.<a name="line.258"></a> <FONT color="green">259</FONT> *<a name="line.259"></a> <FONT color="green">260</FONT> * @return the cloned matrix<a name="line.260"></a> <FONT color="green">261</FONT> */<a name="line.261"></a> <FONT color="green">262</FONT> public BigMatrix copy() {<a name="line.262"></a> <FONT color="green">263</FONT> return new BigMatrixImpl(this.copyOut(), false);<a name="line.263"></a> <FONT color="green">264</FONT> }<a name="line.264"></a> <FONT color="green">265</FONT> <a name="line.265"></a> <FONT color="green">266</FONT> /**<a name="line.266"></a> <FONT color="green">267</FONT> * Compute the sum of this and <code>m</code>.<a name="line.267"></a> <FONT color="green">268</FONT> *<a name="line.268"></a> <FONT color="green">269</FONT> * @param m matrix to be added<a name="line.269"></a> <FONT color="green">270</FONT> * @return this + m<a name="line.270"></a> <FONT color="green">271</FONT> * @throws IllegalArgumentException if m is not the same size as this<a name="line.271"></a> <FONT color="green">272</FONT> */<a name="line.272"></a> <FONT color="green">273</FONT> public BigMatrix add(BigMatrix m) throws IllegalArgumentException {<a name="line.273"></a> <FONT color="green">274</FONT> try {<a name="line.274"></a> <FONT color="green">275</FONT> return add((BigMatrixImpl) m);<a name="line.275"></a> <FONT color="green">276</FONT> } catch (ClassCastException cce) {<a name="line.276"></a> <FONT color="green">277</FONT> <a name="line.277"></a> <FONT color="green">278</FONT> // safety check<a name="line.278"></a> <FONT color="green">279</FONT> MatrixUtils.checkAdditionCompatible(this, m);<a name="line.279"></a> <FONT color="green">280</FONT> <a name="line.280"></a> <FONT color="green">281</FONT> final int rowCount = getRowDimension();<a name="line.281"></a> <FONT color="green">282</FONT> final int columnCount = getColumnDimension();<a name="line.282"></a> <FONT color="green">283</FONT> final BigDecimal[][] outData = new BigDecimal[rowCount][columnCount];<a name="line.283"></a> <FONT color="green">284</FONT> for (int row = 0; row < rowCount; row++) {<a name="line.284"></a> <FONT color="green">285</FONT> final BigDecimal[] dataRow = data[row];<a name="line.285"></a> <FONT color="green">286</FONT> final BigDecimal[] outDataRow = outData[row];<a name="line.286"></a> <FONT color="green">287</FONT> for (int col = 0; col < columnCount; col++) {<a name="line.287"></a> <FONT color="green">288</FONT> outDataRow[col] = dataRow[col].add(m.getEntry(row, col));<a name="line.288"></a> <FONT color="green">289</FONT> }<a name="line.289"></a> <FONT color="green">290</FONT> }<a name="line.290"></a> <FONT color="green">291</FONT> return new BigMatrixImpl(outData, false);<a name="line.291"></a> <FONT color="green">292</FONT> }<a name="line.292"></a> <FONT color="green">293</FONT> }<a name="line.293"></a> <FONT color="green">294</FONT> <a name="line.294"></a> <FONT color="green">295</FONT> /**<a name="line.295"></a> <FONT color="green">296</FONT> * Compute the sum of this and <code>m</code>.<a name="line.296"></a> <FONT color="green">297</FONT> *<a name="line.297"></a> <FONT color="green">298</FONT> * @param m matrix to be added<a name="line.298"></a> <FONT color="green">299</FONT> * @return this + m<a name="line.299"></a> <FONT color="green">300</FONT> * @throws IllegalArgumentException if m is not the same size as this<a name="line.300"></a> <FONT color="green">301</FONT> */<a name="line.301"></a> <FONT color="green">302</FONT> public BigMatrixImpl add(BigMatrixImpl m) throws IllegalArgumentException {<a name="line.302"></a> <FONT color="green">303</FONT> <a name="line.303"></a> <FONT color="green">304</FONT> // safety check<a name="line.304"></a> <FONT color="green">305</FONT> MatrixUtils.checkAdditionCompatible(this, m);<a name="line.305"></a> <FONT color="green">306</FONT> <a name="line.306"></a> <FONT color="green">307</FONT> final int rowCount = getRowDimension();<a name="line.307"></a> <FONT color="green">308</FONT> final int columnCount = getColumnDimension();<a name="line.308"></a> <FONT color="green">309</FONT> final BigDecimal[][] outData = new BigDecimal[rowCount][columnCount];<a name="line.309"></a> <FONT color="green">310</FONT> for (int row = 0; row < rowCount; row++) {<a name="line.310"></a> <FONT color="green">311</FONT> final BigDecimal[] dataRow = data[row];<a name="line.311"></a> <FONT color="green">312</FONT> final BigDecimal[] mRow = m.data[row];<a name="line.312"></a> <FONT color="green">313</FONT> final BigDecimal[] outDataRow = outData[row];<a name="line.313"></a> <FONT color="green">314</FONT> for (int col = 0; col < columnCount; col++) {<a name="line.314"></a> <FONT color="green">315</FONT> outDataRow[col] = dataRow[col].add(mRow[col]);<a name="line.315"></a> <FONT color="green">316</FONT> }<a name="line.316"></a> <FONT color="green">317</FONT> }<a name="line.317"></a> <FONT color="green">318</FONT> return new BigMatrixImpl(outData, false);<a name="line.318"></a> <FONT color="green">319</FONT> }<a name="line.319"></a> <FONT color="green">320</FONT> <a name="line.320"></a> <FONT color="green">321</FONT> /**<a name="line.321"></a> <FONT color="green">322</FONT> * Compute this minus <code>m</code>.<a name="line.322"></a> <FONT color="green">323</FONT> *<a name="line.323"></a> <FONT color="green">324</FONT> * @param m matrix to be subtracted<a name="line.324"></a> <FONT color="green">325</FONT> * @return this + m<a name="line.325"></a> <FONT color="green">326</FONT> * @throws IllegalArgumentException if m is not the same size as this<a name="line.326"></a> <FONT color="green">327</FONT> */<a name="line.327"></a> <FONT color="green">328</FONT> public BigMatrix subtract(BigMatrix m) throws IllegalArgumentException {<a name="line.328"></a> <FONT color="green">329</FONT> try {<a name="line.329"></a> <FONT color="green">330</FONT> return subtract((BigMatrixImpl) m);<a name="line.330"></a> <FONT color="green">331</FONT> } catch (ClassCastException cce) {<a name="line.331"></a> <FONT color="green">332</FONT> <a name="line.332"></a> <FONT color="green">333</FONT> // safety check<a name="line.333"></a> <FONT color="green">334</FONT> MatrixUtils.checkSubtractionCompatible(this, m);<a name="line.334"></a> <FONT color="green">335</FONT> <a name="line.335"></a> <FONT color="green">336</FONT> final int rowCount = getRowDimension();<a name="line.336"></a> <FONT color="green">337</FONT> final int columnCount = getColumnDimension();<a name="line.337"></a> <FONT color="green">338</FONT> final BigDecimal[][] outData = new BigDecimal[rowCount][columnCount];<a name="line.338"></a> <FONT color="green">339</FONT> for (int row = 0; row < rowCount; row++) {<a name="line.339"></a> <FONT color="green">340</FONT> final BigDecimal[] dataRow = data[row];<a name="line.340"></a> <FONT color="green">341</FONT> final BigDecimal[] outDataRow = outData[row];<a name="line.341"></a> <FONT color="green">342</FONT> for (int col = 0; col < columnCount; col++) {<a name="line.342"></a> <FONT color="green">343</FONT> outDataRow[col] = dataRow[col].subtract(getEntry(row, col));<a name="line.343"></a> <FONT color="green">344</FONT> }<a name="line.344"></a> <FONT color="green">345</FONT> }<a name="line.345"></a> <FONT color="green">346</FONT> return new BigMatrixImpl(outData, false);<a name="line.346"></a> <FONT color="green">347</FONT> }<a name="line.347"></a> <FONT color="green">348</FONT> }<a name="line.348"></a> <FONT color="green">349</FONT> <a name="line.349"></a> <FONT color="green">350</FONT> /**<a name="line.350"></a> <FONT color="green">351</FONT> * Compute this minus <code>m</code>.<a name="line.351"></a> <FONT color="green">352</FONT> *<a name="line.352"></a> <FONT color="green">353</FONT> * @param m matrix to be subtracted<a name="line.353"></a> <FONT color="green">354</FONT> * @return this + m<a name="line.354"></a> <FONT color="green">355</FONT> * @throws IllegalArgumentException if m is not the same size as this<a name="line.355"></a> <FONT color="green">356</FONT> */<a name="line.356"></a> <FONT color="green">357</FONT> public BigMatrixImpl subtract(BigMatrixImpl m) throws IllegalArgumentException {<a name="line.357"></a> <FONT color="green">358</FONT> <a name="line.358"></a> <FONT color="green">359</FONT> // safety check<a name="line.359"></a> <FONT color="green">360</FONT> MatrixUtils.checkSubtractionCompatible(this, m);<a name="line.360"></a> <FONT color="green">361</FONT> <a name="line.361"></a> <FONT color="green">362</FONT> final int rowCount = getRowDimension();<a name="line.362"></a> <FONT color="green">363</FONT> final int columnCount = getColumnDimension();<a name="line.363"></a> <FONT color="green">364</FONT> final BigDecimal[][] outData = new BigDecimal[rowCount][columnCount];<a name="line.364"></a> <FONT color="green">365</FONT> for (int row = 0; row < rowCount; row++) {<a name="line.365"></a> <FONT color="green">366</FONT> final BigDecimal[] dataRow = data[row];<a name="line.366"></a> <FONT color="green">367</FONT> final BigDecimal[] mRow = m.data[row];<a name="line.367"></a> <FONT color="green">368</FONT> final BigDecimal[] outDataRow = outData[row];<a name="line.368"></a> <FONT color="green">369</FONT> for (int col = 0; col < columnCount; col++) {<a name="line.369"></a> <FONT color="green">370</FONT> outDataRow[col] = dataRow[col].subtract(mRow[col]);<a name="line.370"></a> <FONT color="green">371</FONT> }<a name="line.371"></a> <FONT color="green">372</FONT> }<a name="line.372"></a> <FONT color="green">373</FONT> return new BigMatrixImpl(outData, false);<a name="line.373"></a> <FONT color="green">374</FONT> }<a name="line.374"></a> <FONT color="green">375</FONT> <a name="line.375"></a> <FONT color="green">376</FONT> /**<a name="line.376"></a> <FONT color="green">377</FONT> * Returns the result of adding d to each entry of this.<a name="line.377"></a> <FONT color="green">378</FONT> *<a name="line.378"></a> <FONT color="green">379</FONT> * @param d value to be added to each entry<a name="line.379"></a> <FONT color="green">380</FONT> * @return d + this<a name="line.380"></a> <FONT color="green">381</FONT> */<a name="line.381"></a> <FONT color="green">382</FONT> public BigMatrix scalarAdd(BigDecimal d) {<a name="line.382"></a> <FONT color="green">383</FONT> final int rowCount = getRowDimension();<a name="line.383"></a> <FONT color="green">384</FONT> final int columnCount = getColumnDimension();<a name="line.384"></a> <FONT color="green">385</FONT> final BigDecimal[][] outData = new BigDecimal[rowCount][columnCount];<a name="line.385"></a> <FONT color="green">386</FONT> for (int row = 0; row < rowCount; row++) {<a name="line.386"></a> <FONT color="green">387</FONT> final BigDecimal[] dataRow = data[row];<a name="line.387"></a> <FONT color="green">388</FONT> final BigDecimal[] outDataRow = outData[row];<a name="line.388"></a> <FONT color="green">389</FONT> for (int col = 0; col < columnCount; col++) {<a name="line.389"></a> <FONT color="green">390</FONT> outDataRow[col] = dataRow[col].add(d);<a name="line.390"></a> <FONT color="green">391</FONT> }<a name="line.391"></a> <FONT color="green">392</FONT> }<a name="line.392"></a> <FONT color="green">393</FONT> return new BigMatrixImpl(outData, false);<a name="line.393"></a> <FONT color="green">394</FONT> }<a name="line.394"></a> <FONT color="green">395</FONT> <a name="line.395"></a> <FONT color="green">396</FONT> /**<a name="line.396"></a> <FONT color="green">397</FONT> * Returns the result of multiplying each entry of this by <code>d</code><a name="line.397"></a> <FONT color="green">398</FONT> * @param d value to multiply all entries by<a name="line.398"></a> <FONT color="green">399</FONT> * @return d * this<a name="line.399"></a> <FONT color="green">400</FONT> */<a name="line.400"></a> <FONT color="green">401</FONT> public BigMatrix scalarMultiply(BigDecimal d) {<a name="line.401"></a> <FONT color="green">402</FONT> final int rowCount = getRowDimension();<a name="line.402"></a> <FONT color="green">403</FONT> final int columnCount = getColumnDimension();<a name="line.403"></a> <FONT color="green">404</FONT> final BigDecimal[][] outData = new BigDecimal[rowCount][columnCount];<a name="line.404"></a> <FONT color="green">405</FONT> for (int row = 0; row < rowCount; row++) {<a name="line.405"></a> <FONT color="green">406</FONT> final BigDecimal[] dataRow = data[row];<a name="line.406"></a> <FONT color="green">407</FONT> final BigDecimal[] outDataRow = outData[row];<a name="line.407"></a> <FONT color="green">408</FONT> for (int col = 0; col < columnCount; col++) {<a name="line.408"></a> <FONT color="green">409</FONT> outDataRow[col] = dataRow[col].multiply(d);<a name="line.409"></a> <FONT color="green">410</FONT> }<a name="line.410"></a> <FONT color="green">411</FONT> }<a name="line.411"></a> <FONT color="green">412</FONT> return new BigMatrixImpl(outData, false);<a name="line.412"></a> <FONT color="green">413</FONT> }<a name="line.413"></a> <FONT color="green">414</FONT> <a name="line.414"></a> <FONT color="green">415</FONT> /**<a name="line.415"></a> <FONT color="green">416</FONT> * Returns the result of postmultiplying this by <code>m</code>.<a name="line.416"></a> <FONT color="green">417</FONT> * @param m matrix to postmultiply by<a name="line.417"></a> <FONT color="green">418</FONT> * @return this*m<a name="line.418"></a> <FONT color="green">419</FONT> * @throws IllegalArgumentException<a name="line.419"></a> <FONT color="green">420</FONT> * if columnDimension(this) != rowDimension(m)<a name="line.420"></a> <FONT color="green">421</FONT> */<a name="line.421"></a> <FONT color="green">422</FONT> public BigMatrix multiply(BigMatrix m) throws IllegalArgumentException {<a name="line.422"></a> <FONT color="green">423</FONT> try {<a name="line.423"></a> <FONT color="green">424</FONT> return multiply((BigMatrixImpl) m);<a name="line.424"></a> <FONT color="green">425</FONT> } catch (ClassCastException cce) {<a name="line.425"></a> <FONT color="green">426</FONT> <a name="line.426"></a> <FONT color="green">427</FONT> // safety check<a name="line.427"></a> <FONT color="green">428</FONT> MatrixUtils.checkMultiplicationCompatible(this, m);<a name="line.428"></a> <FONT color="green">429</FONT> <a name="line.429"></a> <FONT color="green">430</FONT> final int nRows = this.getRowDimension();<a name="line.430"></a> <FONT color="green">431</FONT> final int nCols = m.getColumnDimension();<a name="line.431"></a> <FONT color="green">432</FONT> final int nSum = this.getColumnDimension();<a name="line.432"></a> <FONT color="green">433</FONT> final BigDecimal[][] outData = new BigDecimal[nRows][nCols];<a name="line.433"></a> <FONT color="green">434</FONT> for (int row = 0; row < nRows; row++) {<a name="line.434"></a> <FONT color="green">435</FONT> final BigDecimal[] dataRow = data[row];<a name="line.435"></a> <FONT color="green">436</FONT> final BigDecimal[] outDataRow = outData[row];<a name="line.436"></a> <FONT color="green">437</FONT> for (int col = 0; col < nCols; col++) {<a name="line.437"></a> <FONT color="green">438</FONT> BigDecimal sum = ZERO;<a name="line.438"></a> <FONT color="green">439</FONT> for (int i = 0; i < nSum; i++) {<a name="line.439"></a> <FONT color="green">440</FONT> sum = sum.add(dataRow[i].multiply(m.getEntry(i, col)));<a name="line.440"></a> <FONT color="green">441</FONT> }<a name="line.441"></a> <FONT color="green">442</FONT> outDataRow[col] = sum;<a name="line.442"></a> <FONT color="green">443</FONT> }<a name="line.443"></a> <FONT color="green">444</FONT> }<a name="line.444"></a> <FONT color="green">445</FONT> return new BigMatrixImpl(outData, false);<a name="line.445"></a> <FONT color="green">446</FONT> }<a name="line.446"></a> <FONT color="green">447</FONT> }<a name="line.447"></a> <FONT color="green">448</FONT> <a name="line.448"></a> <FONT color="green">449</FONT> /**<a name="line.449"></a> <FONT color="green">450</FONT> * Returns the result of postmultiplying this by <code>m</code>.<a name="line.450"></a> <FONT color="green">451</FONT> * @param m matrix to postmultiply by<a name="line.451"></a> <FONT color="green">452</FONT> * @return this*m<a name="line.452"></a> <FONT color="green">453</FONT> * @throws IllegalArgumentException<a name="line.453"></a> <FONT color="green">454</FONT> * if columnDimension(this) != rowDimension(m)<a name="line.454"></a> <FONT color="green">455</FONT> */<a name="line.455"></a> <FONT color="green">456</FONT> public BigMatrixImpl multiply(BigMatrixImpl m) throws IllegalArgumentException {<a name="line.456"></a> <FONT color="green">457</FONT> <a name="line.457"></a> <FONT color="green">458</FONT> // safety check<a name="line.458"></a> <FONT color="green">459</FONT> MatrixUtils.checkMultiplicationCompatible(this, m);<a name="line.459"></a> <FONT color="green">460</FONT> <a name="line.460"></a> <FONT color="green">461</FONT> final int nRows = this.getRowDimension();<a name="line.461"></a> <FONT color="green">462</FONT> final int nCols = m.getColumnDimension();<a name="line.462"></a> <FONT color="green">463</FONT> final int nSum = this.getColumnDimension();<a name="line.463"></a> <FONT color="green">464</FONT> final BigDecimal[][] outData = new BigDecimal[nRows][nCols];<a name="line.464"></a> <FONT color="green">465</FONT> for (int row = 0; row < nRows; row++) {<a name="line.465"></a> <FONT color="green">466</FONT> final BigDecimal[] dataRow = data[row];<a name="line.466"></a> <FONT color="green">467</FONT> final BigDecimal[] outDataRow = outData[row];<a name="line.467"></a> <FONT color="green">468</FONT> for (int col = 0; col < nCols; col++) {<a name="line.468"></a> <FONT color="green">469</FONT> BigDecimal sum = ZERO;<a name="line.469"></a> <FONT color="green">470</FONT> for (int i = 0; i < nSum; i++) {<a name="line.470"></a> <FONT color="green">471</FONT> sum = sum.add(dataRow[i].multiply(m.data[i][col]));<a name="line.471"></a> <FONT color="green">472</FONT> }<a name="line.472"></a> <FONT color="green">473</FONT> outDataRow[col] = sum;<a name="line.473"></a> <FONT color="green">474</FONT> }<a name="line.474"></a> <FONT color="green">475</FONT> }<a name="line.475"></a> <FONT color="green">476</FONT> return new BigMatrixImpl(outData, false);<a name="line.476"></a> <FONT color="green">477</FONT> }<a name="line.477"></a> <FONT color="green">478</FONT> <a name="line.478"></a> <FONT color="green">479</FONT> /**<a name="line.479"></a> <FONT color="green">480</FONT> * Returns the result premultiplying this by <code>m</code>.<a name="line.480"></a> <FONT color="green">481</FONT> * @param m matrix to premultiply by<a name="line.481"></a> <FONT color="green">482</FONT> * @return m * this<a name="line.482"></a> <FONT color="green">483</FONT> * @throws IllegalArgumentException<a name="line.483"></a> <FONT color="green">484</FONT> * if rowDimension(this) != columnDimension(m)<a name="line.484"></a> <FONT color="green">485</FONT> */<a name="line.485"></a> <FONT color="green">486</FONT> public BigMatrix preMultiply(BigMatrix m) throws IllegalArgumentException {<a name="line.486"></a> <FONT color="green">487</FONT> return m.multiply(this);<a name="line.487"></a> <FONT color="green">488</FONT> }<a name="line.488"></a> <FONT color="green">489</FONT> <a name="line.489"></a> <FONT color="green">490</FONT> /**<a name="line.490"></a> <FONT color="green">491</FONT> * Returns matrix entries as a two-dimensional array.<a name="line.491"></a> <FONT color="green">492</FONT> * <p><a name="line.492"></a> <FONT color="green">493</FONT> * Makes a fresh copy of the underlying data.</p><a name="line.493"></a> <FONT color="green">494</FONT> *<a name="line.494"></a> <FONT color="green">495</FONT> * @return 2-dimensional array of entries<a name="line.495"></a> <FONT color="green">496</FONT> */<a name="line.496"></a> <FONT color="green">497</FONT> public BigDecimal[][] getData() {<a name="line.497"></a> <FONT color="green">498</FONT> return copyOut();<a name="line.498"></a> <FONT color="green">499</FONT> }<a name="line.499"></a> <FONT color="green">500</FONT> <a name="line.500"></a> <FONT color="green">501</FONT> /**<a name="line.501"></a> <FONT color="green">502</FONT> * Returns matrix entries as a two-dimensional array.<a name="line.502"></a> <FONT color="green">503</FONT> * <p><a name="line.503"></a> <FONT color="green">504</FONT> * Makes a fresh copy of the underlying data converted to<a name="line.504"></a> <FONT color="green">505</FONT> * <code>double</code> values.</p><a name="line.505"></a> <FONT color="green">506</FONT> *<a name="line.506"></a> <FONT color="green">507</FONT> * @return 2-dimensional array of entries<a name="line.507"></a> <FONT color="green">508</FONT> */<a name="line.508"></a> <FONT color="green">509</FONT> public double[][] getDataAsDoubleArray() {<a name="line.509"></a> <FONT color="green">510</FONT> final int nRows = getRowDimension();<a name="line.510"></a> <FONT color="green">511</FONT> final int nCols = getColumnDimension();<a name="line.511"></a> <FONT color="green">512</FONT> final double d[][] = new double[nRows][nCols];<a name="line.512"></a> <FONT color="green">513</FONT> for (int i = 0; i < nRows; i++) {<a name="line.513"></a> <FONT color="green">514</FONT> for (int j = 0; j < nCols; j++) {<a name="line.514"></a> <FONT color="green">515</FONT> d[i][j] = data[i][j].doubleValue();<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> return d;<a name="line.518"></a> <FONT color="green">519</FONT> }<a name="line.519"></a> <FONT color="green">520</FONT> <a name="line.520"></a> <FONT color="green">521</FONT> /**<a name="line.521"></a> <FONT color="green">522</FONT> * Returns a reference to the underlying data array.<a name="line.522"></a> <FONT color="green">523</FONT> * <p><a name="line.523"></a> <FONT color="green">524</FONT> * Does not make a fresh copy of the underlying data.</p><a name="line.524"></a> <FONT color="green">525</FONT> *<a name="line.525"></a> <FONT color="green">526</FONT> * @return 2-dimensional array of entries<a name="line.526"></a> <FONT color="green">527</FONT> */<a name="line.527"></a> <FONT color="green">528</FONT> public BigDecimal[][] getDataRef() {<a name="line.528"></a> <FONT color="green">529</FONT> return data;<a name="line.529"></a> <FONT color="green">530</FONT> }<a name="line.530"></a> <FONT color="green">531</FONT> <a name="line.531"></a> <FONT color="green">532</FONT> /***<a name="line.532"></a> <FONT color="green">533</FONT> * Gets the rounding mode for division operations<a name="line.533"></a> <FONT color="green">534</FONT> * The default is {@link java.math.BigDecimal#ROUND_HALF_UP}<a name="line.534"></a> <FONT color="green">535</FONT> * @see BigDecimal<a name="line.535"></a> <FONT color="green">536</FONT> * @return the rounding mode.<a name="line.536"></a> <FONT color="green">537</FONT> */<a name="line.537"></a> <FONT color="green">538</FONT> public int getRoundingMode() {<a name="line.538"></a> <FONT color="green">539</FONT> return roundingMode;<a name="line.539"></a> <FONT color="green">540</FONT> }<a name="line.540"></a> <FONT color="green">541</FONT> <a name="line.541"></a> <FONT color="green">542</FONT> /***<a name="line.542"></a> <FONT color="green">543</FONT> * Sets the rounding mode for decimal divisions.<a name="line.543"></a> <FONT color="green">544</FONT> * @see BigDecimal<a name="line.544"></a> <FONT color="green">545</FONT> * @param roundingMode rounding mode for decimal divisions<a name="line.545"></a> <FONT color="green">546</FONT> */<a name="line.546"></a> <FONT color="green">547</FONT> public void setRoundingMode(int roundingMode) {<a name="line.547"></a> <FONT color="green">548</FONT> this.roundingMode = roundingMode;<a name="line.548"></a> <FONT color="green">549</FONT> }<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> * Sets the scale for division operations.<a name="line.552"></a> <FONT color="green">553</FONT> * The default is 64<a name="line.553"></a> <FONT color="green">554</FONT> * @see BigDecimal<a name="line.554"></a> <FONT color="green">555</FONT> * @return the scale<a name="line.555"></a> <FONT color="green">556</FONT> */<a name="line.556"></a> <FONT color="green">557</FONT> public int getScale() {<a name="line.557"></a> <FONT color="green">558</FONT> return scale;<a name="line.558"></a> <FONT color="green">559</FONT> }<a name="line.559"></a> <FONT color="green">560</FONT> <a name="line.560"></a> <FONT color="green">561</FONT> /***<a name="line.561"></a> <FONT color="green">562</FONT> * Sets the scale for division operations.<a name="line.562"></a> <FONT color="green">563</FONT> * @see BigDecimal<a name="line.563"></a> <FONT color="green">564</FONT> * @param scale scale for division operations<a name="line.564"></a> <FONT color="green">565</FONT> */<a name="line.565"></a> <FONT color="green">566</FONT> public void setScale(int scale) {<a name="line.566"></a> <FONT color="green">567</FONT> this.scale = scale;<a name="line.567"></a> <FONT color="green">568</FONT> }<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> * Returns the <a href="http://mathworld.wolfram.com/MaximumAbsoluteRowSumNorm.html"><a name="line.571"></a> <FONT color="green">572</FONT> * maximum absolute row sum norm</a> of the matrix.<a name="line.572"></a> <FONT color="green">573</FONT> *<a name="line.573"></a> <FONT color="green">574</FONT> * @return norm<a name="line.574"></a> <FONT color="green">575</FONT> */<a name="line.575"></a> <FONT color="green">576</FONT> public BigDecimal getNorm() {<a name="line.576"></a> <FONT color="green">577</FONT> BigDecimal maxColSum = ZERO;<a name="line.577"></a> <FONT color="green">578</FONT> for (int col = 0; col < this.getColumnDimension(); col++) {<a name="line.578"></a> <FONT color="green">579</FONT> BigDecimal sum = ZERO;<a name="line.579"></a> <FONT color="green">580</FONT> for (int row = 0; row < this.getRowDimension(); row++) {<a name="line.580"></a> <FONT color="green">581</FONT> sum = sum.add(data[row][col].abs());<a name="line.581"></a> <FONT color="green">582</FONT> }<a name="line.582"></a> <FONT color="green">583</FONT> maxColSum = maxColSum.max(sum);<a name="line.583"></a> <FONT color="green">584</FONT> }<a name="line.584"></a> <FONT color="green">585</FONT> return maxColSum;<a name="line.585"></a> <FONT color="green">586</FONT> }<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> * Gets a submatrix. Rows and columns are indicated<a name="line.589"></a> <FONT color="green">590</FONT> * counting from 0 to n-1.<a name="line.590"></a> <FONT color="green">591</FONT> *<a name="line.591"></a> <FONT color="green">592</FONT> * @param startRow Initial row index<a name="line.592"></a> <FONT color="green">593</FONT> * @param endRow Final row index<a name="line.593"></a> <FONT color="green">594</FONT> * @param startColumn Initial column index<a name="line.594"></a> <FONT color="green">595</FONT> * @param endColumn Final column index<a name="line.595"></a> <FONT color="green">596</FONT> * @return The subMatrix containing the data of the<a name="line.596"></a> <FONT color="green">597</FONT> * specified rows and columns<a name="line.597"></a> <FONT color="green">598</FONT> * @exception MatrixIndexException if row or column selections are not valid<a name="line.598"></a> <FONT color="green">599</FONT> */<a name="line.599"></a> <FONT color="green">600</FONT> public BigMatrix getSubMatrix(int startRow, int endRow,<a name="line.600"></a> <FONT color="green">601</FONT> int startColumn, int endColumn)<a name="line.601"></a> <FONT color="green">602</FONT> throws MatrixIndexException {<a name="line.602"></a> <FONT color="green">603</FONT> <a name="line.603"></a> <FONT color="green">604</FONT> MatrixUtils.checkRowIndex(this, startRow);<a name="line.604"></a> <FONT color="green">605</FONT> MatrixUtils.checkRowIndex(this, endRow);<a name="line.605"></a> <FONT color="green">606</FONT> if (startRow > endRow) {<a name="line.606"></a> <FONT color="green">607</FONT> throw new MatrixIndexException("initial row {0} after final row {1}",<a name="line.607"></a> <FONT color="green">608</FONT> startRow, endRow);<a name="line.608"></a> <FONT color="green">609</FONT> }<a name="line.609"></a> <FONT color="green">610</FONT> <a name="line.610"></a> <FONT color="green">611</FONT> MatrixUtils.checkColumnIndex(this, startColumn);<a name="line.611"></a> <FONT color="green">612</FONT> MatrixUtils.checkColumnIndex(this, endColumn);<a name="line.612"></a> <FONT color="green">613</FONT> if (startColumn > endColumn) {<a name="line.613"></a> <FONT color="green">614</FONT> throw new MatrixIndexException("initial column {0} after final column {1}",<a name="line.614"></a> <FONT color="green">615</FONT> startColumn, endColumn);<a name="line.615"></a> <FONT color="green">616</FONT> }<a name="line.616"></a> <FONT color="green">617</FONT> <a name="line.617"></a> <FONT color="green">618</FONT> final BigDecimal[][] subMatrixData =<a name="line.618"></a> <FONT color="green">619</FONT> new BigDecimal[endRow - startRow + 1][endColumn - startColumn + 1];<a name="line.619"></a> <FONT color="green">620</FONT> for (int i = startRow; i <= endRow; i++) {<a name="line.620"></a> <FONT color="green">621</FONT> System.arraycopy(data[i], startColumn,<a name="line.621"></a> <FONT color="green">622</FONT> subMatrixData[i - startRow], 0,<a name="line.622"></a> <FONT color="green">623</FONT> endColumn - startColumn + 1);<a name="line.623"></a> <FONT color="green">624</FONT> }<a name="line.624"></a> <FONT color="green">625</FONT> <a name="line.625"></a> <FONT color="green">626</FONT> return new BigMatrixImpl(subMatrixData, false);<a name="line.626"></a> <FONT color="green">627</FONT> <a name="line.627"></a> <FONT color="green">628</FONT> }<a name="line.628"></a> <FONT color="green">629</FONT> <a name="line.629"></a> <FONT color="green">630</FONT> /**<a name="line.630"></a> <FONT color="green">631</FONT> * Gets a submatrix. Rows and columns are indicated<a name="line.631"></a> <FONT color="green">632</FONT> * counting from 0 to n-1.<a name="line.632"></a> <FONT color="green">633</FONT> *<a name="line.633"></a> <FONT color="green">634</FONT> * @param selectedRows Array of row indices must be non-empty<a name="line.634"></a> <FONT color="green">635</FONT> * @param selectedColumns Array of column indices must be non-empty<a name="line.635"></a> <FONT color="green">636</FONT> * @return The subMatrix containing the data in the<a name="line.636"></a> <FONT color="green">637</FONT> * specified rows and columns<a name="line.637"></a> <FONT color="green">638</FONT> * @exception MatrixIndexException if supplied row or column index arrays<a name="line.638"></a> <FONT color="green">639</FONT> * are not valid<a name="line.639"></a> <FONT color="green">640</FONT> */<a name="line.640"></a> <FONT color="green">641</FONT> public BigMatrix getSubMatrix(int[] selectedRows, int[] selectedColumns)<a name="line.641"></a> <FONT color="green">642</FONT> throws MatrixIndexException {<a name="line.642"></a> <FONT color="green">643</FONT> <a name="line.643"></a> <FONT color="green">644</FONT> if (selectedRows.length * selectedColumns.length == 0) {<a name="line.644"></a> <FONT color="green">645</FONT> if (selectedRows.length == 0) {<a name="line.645"></a> <FONT color="green">646</FONT> throw new MatrixIndexException("empty selected row index array");<a name="line.646"></a> <FONT color="green">647</FONT> }<a name="line.647"></a> <FONT color="green">648</FONT> throw new MatrixIndexException("empty selected column index array");<a name="line.648"></a> <FONT color="green">649</FONT> }<a name="line.649"></a> <FONT color="green">650</FONT> <a name="line.650"></a> <FONT color="green">651</FONT> final BigDecimal[][] subMatrixData =<a name="line.651"></a> <FONT color="green">652</FONT> new BigDecimal[selectedRows.length][selectedColumns.length];<a name="line.652"></a> <FONT color="green">653</FONT> try {<a name="line.653"></a> <FONT color="green">654</FONT> for (int i = 0; i < selectedRows.length; i++) {<a name="line.654"></a> <FONT color="green">655</FONT> final BigDecimal[] subI = subMatrixData[i];<a name="line.655"></a> <FONT color="green">656</FONT> final BigDecimal[] dataSelectedI = data[selectedRows[i]];<a name="line.656"></a> <FONT color="green">657</FONT> for (int j = 0; j < selectedColumns.length; j++) {<a name="line.657"></a> <FONT color="green">658</FONT> subI[j] = dataSelectedI[selectedColumns[j]];<a name="line.658"></a> <FONT color="green">659</FONT> }<a name="line.659"></a> <FONT color="green">660</FONT> }<a name="line.660"></a> <FONT color="green">661</FONT> } catch (ArrayIndexOutOfBoundsException e) {<a name="line.661"></a> <FONT color="green">662</FONT> // we redo the loop with checks enabled<a name="line.662"></a> <FONT color="green">663</FONT> // in order to generate an appropriate message<a name="line.663"></a> <FONT color="green">664</FONT> for (final int row : selectedRows) {<a name="line.664"></a> <FONT color="green">665</FONT> MatrixUtils.checkRowIndex(this, row);<a name="line.665"></a> <FONT color="green">666</FONT> }<a name="line.666"></a> <FONT color="green">667</FONT> for (final int column : selectedColumns) {<a name="line.667"></a> <FONT color="green">668</FONT> MatrixUtils.checkColumnIndex(this, column);<a name="line.668"></a> <FONT color="green">669</FONT> }<a name="line.669"></a> <FONT color="green">670</FONT> }<a name="line.670"></a> <FONT color="green">671</FONT> return new BigMatrixImpl(subMatrixData, false);<a name="line.671"></a> <FONT color="green">672</FONT> }<a name="line.672"></a> <FONT color="green">673</FONT> <a name="line.673"></a> <FONT color="green">674</FONT> /**<a name="line.674"></a> <FONT color="green">675</FONT> * Replace the submatrix starting at <code>row, column</code> using data in<a name="line.675"></a> <FONT color="green">676</FONT> * the input <code>subMatrix</code> array. Indexes are 0-based.<a name="line.676"></a> <FONT color="green">677</FONT> * <p><a name="line.677"></a> <FONT color="green">678</FONT> * Example:<br><a name="line.678"></a> <FONT color="green">679</FONT> * Starting with <pre><a name="line.679"></a> <FONT color="green">680</FONT> * 1 2 3 4<a name="line.680"></a> <FONT color="green">681</FONT> * 5 6 7 8<a name="line.681"></a> <FONT color="green">682</FONT> * 9 0 1 2<a name="line.682"></a> <FONT color="green">683</FONT> * </pre><a name="line.683"></a> <FONT color="green">684</FONT> * and <code>subMatrix = {{3, 4} {5,6}}</code>, invoking<a name="line.684"></a> <FONT color="green">685</FONT> * <code>setSubMatrix(subMatrix,1,1))</code> will result in <pre><a name="line.685"></a> <FONT color="green">686</FONT> * 1 2 3 4<a name="line.686"></a> <FONT color="green">687</FONT> * 5 3 4 8<a name="line.687"></a> <FONT color="green">688</FONT> * 9 5 6 2<a name="line.688"></a> <FONT color="green">689</FONT> * </pre></p><a name="line.689"></a> <FONT color="green">690</FONT> *<a name="line.690"></a> <FONT color="green">691</FONT> * @param subMatrix array containing the submatrix replacement data<a name="line.691"></a> <FONT color="green">692</FONT> * @param row row coordinate of the top, left element to be replaced<a name="line.692"></a> <FONT color="green">693</FONT> * @param column column coordinate of the top, left element to be replaced<a name="line.693"></a> <FONT color="green">694</FONT> * @throws MatrixIndexException if subMatrix does not fit into this<a name="line.694"></a> <FONT color="green">695</FONT> * matrix from element in (row, column)<a name="line.695"></a> <FONT color="green">696</FONT> * @throws IllegalArgumentException if <code>subMatrix</code> is not rectangular<a name="line.696"></a> <FONT color="green">697</FONT> * (not all rows have the same length) or empty<a name="line.697"></a> <FONT color="green">698</FONT> * @throws NullPointerException if <code>subMatrix</code> is null<a name="line.698"></a> <FONT color="green">699</FONT> * @since 1.1<a name="line.699"></a> <FONT color="green">700</FONT> */<a name="line.700"></a> <FONT color="green">701</FONT> public void setSubMatrix(BigDecimal[][] subMatrix, int row, int column)<a name="line.701"></a> <FONT color="green">702</FONT> throws MatrixIndexException {<a name="line.702"></a> <FONT color="green">703</FONT> <a name="line.703"></a> <FONT color="green">704</FONT> final int nRows = subMatrix.length;<a name="line.704"></a> <FONT color="green">705</FONT> if (nRows == 0) {<a name="line.705"></a> <FONT color="green">706</FONT> throw MathRuntimeException.createIllegalArgumentException("matrix must have at least one row");<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> final int nCols = subMatrix[0].length;<a name="line.709"></a> <FONT color="green">710</FONT> if (nCols == 0) {<a name="line.710"></a> <FONT color="green">711</FONT> throw MathRuntimeException.createIllegalArgumentException("matrix must have at least one column");<a name="line.711"></a> <FONT color="green">712</FONT> }<a name="line.712"></a> <FONT color="green">713</FONT> <a name="line.713"></a> <FONT color="green">714</FONT> for (int r = 1; r < nRows; r++) {<a name="line.714"></a> <FONT color="green">715</FONT> if (subMatrix[r].length != nCols) {<a name="line.715"></a> <FONT color="green">716</FONT> throw MathRuntimeException.createIllegalArgumentException(<a name="line.716"></a> <FONT color="green">717</FONT> "some rows have length {0} while others have length {1}",<a name="line.717"></a> <FONT color="green">718</FONT> nCols, subMatrix[r].length);<a name="line.718"></a> <FONT color="green">719</FONT> }<a name="line.719"></a> <FONT color="green">720</FONT> }<a name="line.720"></a> <FONT color="green">721</FONT> <a name="line.721"></a> <FONT color="green">722</FONT> if (data == null) {<a name="line.722"></a> <FONT color="green">723</FONT> if (row > 0) {<a name="line.723"></a> <FONT color="green">724</FONT> throw MathRuntimeException.createIllegalStateException(<a name="line.724"></a> <FONT color="green">725</FONT> "first {0} rows are not initialized yet",<a name="line.725"></a> <FONT color="green">726</FONT> row);<a name="line.726"></a> <FONT color="green">727</FONT> }<a name="line.727"></a> <FONT color="green">728</FONT> if (column > 0) {<a name="line.728"></a> <FONT color="green">729</FONT> throw MathRuntimeException.createIllegalStateException(<a name="line.729"></a> <FONT color="green">730</FONT> "first {0} columns are not initialized yet",<a name="line.730"></a> <FONT color="green">731</FONT> column);<a name="line.731"></a> <FONT color="green">732</FONT> }<a name="line.732"></a> <FONT color="green">733</FONT> data = new BigDecimal[nRows][nCols];<a name="line.733"></a> <FONT color="green">734</FONT> System.arraycopy(subMatrix, 0, data, 0, subMatrix.length);<a name="line.734"></a> <FONT color="green">735</FONT> } else {<a name="line.735"></a> <FONT color="green">736</FONT> MatrixUtils.checkRowIndex(this, row);<a name="line.736"></a> <FONT color="green">737</FONT> MatrixUtils.checkColumnIndex(this, column);<a name="line.737"></a> <FONT color="green">738</FONT> MatrixUtils.checkRowIndex(this, nRows + row - 1);<a name="line.738"></a> <FONT color="green">739</FONT> MatrixUtils.checkColumnIndex(this, nCols + column - 1);<a name="line.739"></a> <FONT color="green">740</FONT> }<a name="line.740"></a> <FONT color="green">741</FONT> for (int i = 0; i < nRows; i++) {<a name="line.741"></a> <FONT color="green">742</FONT> System.arraycopy(subMatrix[i], 0, data[row + i], column, nCols);<a name="line.742"></a> <FONT color="green">743</FONT> }<a name="line.743"></a> <FONT color="green">744</FONT> <a name="line.744"></a> <FONT color="green">745</FONT> lu = null;<a name="line.745"></a> <FONT color="green">746</FONT> <a name="line.746"></a> <FONT color="green">747</FONT> }<a name="line.747"></a> <FONT color="green">748</FONT> <a name="line.748"></a> <FONT color="green">749</FONT> /**<a name="line.749"></a> <FONT color="green">750</FONT> * Returns the entries in row number <code>row</code><a name="line.750"></a> <FONT color="green">751</FONT> * as a row matrix. Row indices start at 0.<a name="line.751"></a> <FONT color="green">752</FONT> *<a name="line.752"></a> <FONT color="green">753</FONT> * @param row the row to be fetched<a name="line.753"></a> <FONT color="green">754</FONT> * @return row matrix<a name="line.754"></a> <FONT color="green">755</FONT> * @throws MatrixIndexException if the specified row index is invalid<a name="line.755"></a> <FONT color="green">756</FONT> */<a name="line.756"></a> <FONT color="green">757</FONT> public BigMatrix getRowMatrix(int row) throws MatrixIndexException {<a name="line.757"></a> <FONT color="green">758</FONT> MatrixUtils.checkRowIndex(this, row);<a name="line.758"></a> <FONT color="green">759</FONT> final int ncols = this.getColumnDimension();<a name="line.759"></a> <FONT color="green">760</FONT> final BigDecimal[][] out = new BigDecimal[1][ncols];<a name="line.760"></a> <FONT color="green">761</FONT> System.arraycopy(data[row], 0, out[0], 0, ncols);<a name="line.761"></a> <FONT color="green">762</FONT> return new BigMatrixImpl(out, false);<a name="line.762"></a> <FONT color="green">763</FONT> }<a name="line.763"></a> <FONT color="green">764</FONT> <a name="line.764"></a> <FONT color="green">765</FONT> /**<a name="line.765"></a> <FONT color="green">766</FONT> * Returns the entries in column number <code>column</code><a name="line.766"></a> <FONT color="green">767</FONT> * as a column matrix. Column indices start at 0.<a name="line.767"></a> <FONT color="green">768</FONT> *<a name="line.768"></a> <FONT color="green">769</FONT> * @param column the column to be fetched<a name="line.769"></a> <FONT color="green">770</FONT> * @return column matrix<a name="line.770"></a> <FONT color="green">771</FONT> * @throws MatrixIndexException if the specified column index is invalid<a name="line.771"></a> <FONT color="green">772</FONT> */<a name="line.772"></a> <FONT color="green">773</FONT> public BigMatrix getColumnMatrix(int column) throws MatrixIndexException {<a name="line.773"></a> <FONT color="green">774</FONT> MatrixUtils.checkColumnIndex(this, column);<a name="line.774"></a> <FONT color="green">775</FONT> final int nRows = this.getRowDimension();<a name="line.775"></a> <FONT color="green">776</FONT> final BigDecimal[][] out = new BigDecimal[nRows][1];<a name="line.776"></a> <FONT color="green">777</FONT> for (int row = 0; row < nRows; row++) {<a name="line.777"></a> <FONT color="green">778</FONT> out[row][0] = data[row][column];<a name="line.778"></a> <FONT color="green">779</FONT> }<a name="line.779"></a> <FONT color="green">780</FONT> return new BigMatrixImpl(out, false);<a name="line.780"></a> <FONT color="green">781</FONT> }<a name="line.781"></a> <FONT color="green">782</FONT> <a name="line.782"></a> <FONT color="green">783</FONT> /**<a name="line.783"></a> <FONT color="green">784</FONT> * Returns the entries in row number <code>row</code> as an array.<a name="line.784"></a> <FONT color="green">785</FONT> * <p><a name="line.785"></a> <FONT color="green">786</FONT> * Row indices start at 0. A <code>MatrixIndexException</code> is thrown<a name="line.786"></a> <FONT color="green">787</FONT> * unless <code>0 <= row < rowDimension.</code></p><a name="line.787"></a> <FONT color="green">788</FONT> *<a name="line.788"></a> <FONT color="green">789</FONT> * @param row the row to be fetched<a name="line.789"></a> <FONT color="green">790</FONT> * @return array of entries in the row<a name="line.790"></a> <FONT color="green">791</FONT> * @throws MatrixIndexException if the specified row index is not valid<a name="line.791"></a> <FONT color="green">792</FONT> */<a name="line.792"></a> <FONT color="green">793</FONT> public BigDecimal[] getRow(int row) throws MatrixIndexException {<a name="line.793"></a> <FONT color="green">794</FONT> MatrixUtils.checkRowIndex(this, row);<a name="line.794"></a> <FONT color="green">795</FONT> final int ncols = this.getColumnDimension();<a name="line.795"></a> <FONT color="green">796</FONT> final BigDecimal[] out = new BigDecimal[ncols];<a name="line.796"></a> <FONT color="green">797</FONT> System.arraycopy(data[row], 0, out, 0, ncols);<a name="line.797"></a> <FONT color="green">798</FONT> return out;<a name="line.798"></a> <FONT color="green">799</FONT> }<a name="line.799"></a> <FONT color="green">800</FONT> <a name="line.800"></a> <FONT color="green">801</FONT> /**<a name="line.801"></a> <FONT color="green">802</FONT> * Returns the entries in row number <code>row</code> as an array<a name="line.802"></a> <FONT color="green">803</FONT> * of double values.<a name="line.803"></a> <FONT color="green">804</FONT> * <p><a name="line.804"></a> <FONT color="green">805</FONT> * Row indices start at 0. A <code>MatrixIndexException</code> is thrown<a name="line.805"></a> <FONT color="green">806</FONT> * unless <code>0 <= row < rowDimension.</code></p><a name="line.806"></a> <FONT color="green">807</FONT> *<a name="line.807"></a> <FONT color="green">808</FONT> * @param row the row to be fetched<a name="line.808"></a> <FONT color="green">809</FONT> * @return array of entries in the row<a name="line.809"></a> <FONT color="green">810</FONT> * @throws MatrixIndexException if the specified row index is not valid<a name="line.810"></a> <FONT color="green">811</FONT> */<a name="line.811"></a> <FONT color="green">812</FONT> public double[] getRowAsDoubleArray(int row) throws MatrixIndexException {<a name="line.812"></a> <FONT color="green">813</FONT> MatrixUtils.checkRowIndex(this, row);<a name="line.813"></a> <FONT color="green">814</FONT> final int ncols = this.getColumnDimension();<a name="line.814"></a> <FONT color="green">815</FONT> final double[] out = new double[ncols];<a name="line.815"></a> <FONT color="green">816</FONT> for (int i=0;i<ncols;i++) {<a name="line.816"></a> <FONT color="green">817</FONT> out[i] = data[row][i].doubleValue();<a name="line.817"></a> <FONT color="green">818</FONT> }<a name="line.818"></a> <FONT color="green">819</FONT> return out;<a name="line.819"></a> <FONT color="green">820</FONT> }<a name="line.820"></a> <FONT color="green">821</FONT> <a name="line.821"></a> <FONT color="green">822</FONT> /**<a name="line.822"></a> <FONT color="green">823</FONT> * Returns the entries in column number <code>col</code> as an array.<a name="line.823"></a> <FONT color="green">824</FONT> * <p><a name="line.824"></a> <FONT color="green">825</FONT> * Column indices start at 0. A <code>MatrixIndexException</code> is thrown<a name="line.825"></a> <FONT color="green">826</FONT> * unless <code>0 <= column < columnDimension.</code></p><a name="line.826"></a> <FONT color="green">827</FONT> *<a name="line.827"></a> <FONT color="green">828</FONT> * @param col the column to be fetched<a name="line.828"></a> <FONT color="green">829</FONT> * @return array of entries in the column<a name="line.829"></a> <FONT color="green">830</FONT> * @throws MatrixIndexException if the specified column index is not valid<a name="line.830"></a> <FONT color="green">831</FONT> */<a name="line.831"></a> <FONT color="green">832</FONT> public BigDecimal[] getColumn(int col) throws MatrixIndexException {<a name="line.832"></a> <FONT color="green">833</FONT> MatrixUtils.checkColumnIndex(this, col);<a name="line.833"></a> <FONT color="green">834</FONT> final int nRows = this.getRowDimension();<a name="line.834"></a> <FONT color="green">835</FONT> final BigDecimal[] out = new BigDecimal[nRows];<a name="line.835"></a> <FONT color="green">836</FONT> for (int i = 0; i < nRows; i++) {<a name="line.836"></a> <FONT color="green">837</FONT> out[i] = data[i][col];<a name="line.837"></a> <FONT color="green">838</FONT> }<a name="line.838"></a> <FONT color="green">839</FONT> return out;<a name="line.839"></a> <FONT color="green">840</FONT> }<a name="line.840"></a> <FONT color="green">841</FONT> <a name="line.841"></a> <FONT color="green">842</FONT> /**<a name="line.842"></a> <FONT color="green">843</FONT> * Returns the entries in column number <code>col</code> as an array<a name="line.843"></a> <FONT color="green">844</FONT> * of double values.<a name="line.844"></a> <FONT color="green">845</FONT> * <p><a name="line.845"></a> <FONT color="green">846</FONT> * Column indices start at 0. A <code>MatrixIndexException</code> is thrown<a name="line.846"></a> <FONT color="green">847</FONT> * unless <code>0 <= column < columnDimension.</code></p><a name="line.847"></a> <FONT color="green">848</FONT> *<a name="line.848"></a> <FONT color="green">849</FONT> * @param col the column to be fetched<a name="line.849"></a> <FONT color="green">850</FONT> * @return array of entries in the column<a name="line.850"></a> <FONT color="green">851</FONT> * @throws MatrixIndexException if the specified column index is not valid<a name="line.851"></a> <FONT color="green">852</FONT> */<a name="line.852"></a> <FONT color="green">853</FONT> public double[] getColumnAsDoubleArray(int col) throws MatrixIndexException {<a name="line.853"></a> <FONT color="green">854</FONT> MatrixUtils.checkColumnIndex(this, col);<a name="line.854"></a> <FONT color="green">855</FONT> final int nrows = this.getRowDimension();<a name="line.855"></a> <FONT color="green">856</FONT> final double[] out = new double[nrows];<a name="line.856"></a> <FONT color="green">857</FONT> for (int i=0;i<nrows;i++) {<a name="line.857"></a> <FONT color="green">858</FONT> out[i] = data[i][col].doubleValue();<a name="line.858"></a> <FONT color="green">859</FONT> }<a name="line.859"></a> <FONT color="green">860</FONT> return out;<a name="line.860"></a> <FONT color="green">861</FONT> }<a name="line.861"></a> <FONT color="green">862</FONT> <a name="line.862"></a> <FONT color="green">863</FONT> /**<a name="line.863"></a> <FONT color="green">864</FONT> * Returns the entry in the specified row and column.<a name="line.864"></a> <FONT color="green">865</FONT> * <p><a name="line.865"></a> <FONT color="green">866</FONT> * Row and column indices start at 0 and must satisfy<a name="line.866"></a> <FONT color="green">867</FONT> * <ul><a name="line.867"></a> <FONT color="green">868</FONT> * <li><code>0 <= row < rowDimension</code></li><a name="line.868"></a> <FONT color="green">869</FONT> * <li><code> 0 <= column < columnDimension</code></li><a name="line.869"></a> <FONT color="green">870</FONT> * </ul><a name="line.870"></a> <FONT color="green">871</FONT> * otherwise a <code>MatrixIndexException</code> is thrown.</p><a name="line.871"></a> <FONT color="green">872</FONT> *<a name="line.872"></a> <FONT color="green">873</FONT> * @param row row location of entry to be fetched<a name="line.873"></a> <FONT color="green">874</FONT> * @param column column location of entry to be fetched<a name="line.874"></a> <FONT color="green">875</FONT> * @return matrix entry in row,column<a name="line.875"></a> <FONT color="green">876</FONT> * @throws MatrixIndexException if the row or column index is not valid<a name="line.876"></a> <FONT color="green">877</FONT> */<a name="line.877"></a> <FONT color="green">878</FONT> public BigDecimal getEntry(int row, int column)<a name="line.878"></a> <FONT color="green">879</FONT> throws MatrixIndexException {<a name="line.879"></a> <FONT color="green">880</FONT> try {<a name="line.880"></a> <FONT color="green">881</FONT> return data[row][column];<a name="line.881"></a> <FONT color="green">882</FONT> } catch (ArrayIndexOutOfBoundsException e) {<a name="line.882"></a> <FONT color="green">883</FONT> throw new MatrixIndexException(<a name="line.883"></a> <FONT color="green">884</FONT> "no entry at indices ({0}, {1}) in a {2}x{3} matrix",<a name="line.884"></a> <FONT color="green">885</FONT> row, column, getRowDimension(), getColumnDimension());<a name="line.885"></a> <FONT color="green">886</FONT> }<a name="line.886"></a> <FONT color="green">887</FONT> }<a name="line.887"></a> <FONT color="green">888</FONT> <a name="line.888"></a> <FONT color="green">889</FONT> /**<a name="line.889"></a> <FONT color="green">890</FONT> * Returns the entry in the specified row and column as a double.<a name="line.890"></a> <FONT color="green">891</FONT> * <p><a name="line.891"></a> <FONT color="green">892</FONT> * Row and column indices start at 0 and must satisfy<a name="line.892"></a> <FONT color="green">893</FONT> * <ul><a name="line.893"></a> <FONT color="green">894</FONT> * <li><code>0 <= row < rowDimension</code></li><a name="line.894"></a> <FONT color="green">895</FONT> * <li><code> 0 <= column < columnDimension</code></li><a name="line.895"></a> <FONT color="green">896</FONT> * </ul><a name="line.896"></a> <FONT color="green">897</FONT> * otherwise a <code>MatrixIndexException</code> is thrown.</p><a name="line.897"></a> <FONT color="green">898</FONT> *<a name="line.898"></a> <FONT color="green">899</FONT> * @param row row location of entry to be fetched<a name="line.899"></a> <FONT color="green">900</FONT> * @param column column location of entry to be fetched<a name="line.900"></a> <FONT color="green">901</FONT> * @return matrix entry in row,column<a name="line.901"></a> <FONT color="green">902</FONT> * @throws MatrixIndexException if the row<a name="line.902"></a> <FONT color="green">903</FONT> * or column index is not valid<a name="line.903"></a> <FONT color="green">904</FONT> */<a name="line.904"></a> <FONT color="green">905</FONT> public double getEntryAsDouble(int row, int column) throws MatrixIndexException {<a name="line.905"></a> <FONT color="green">906</FONT> return getEntry(row,column).doubleValue();<a name="line.906"></a> <FONT color="green">907</FONT> }<a name="line.907"></a> <FONT color="green">908</FONT> <a name="line.908"></a> <FONT color="green">909</FONT> /**<a name="line.909"></a> <FONT color="green">910</FONT> * Returns the transpose matrix.<a name="line.910"></a> <FONT color="green">911</FONT> *<a name="line.911"></a> <FONT color="green">912</FONT> * @return transpose matrix<a name="line.912"></a> <FONT color="green">913</FONT> */<a name="line.913"></a> <FONT color="green">914</FONT> public BigMatrix transpose() {<a name="line.914"></a> <FONT color="green">915</FONT> final int nRows = this.getRowDimension();<a name="line.915"></a> <FONT color="green">916</FONT> final int nCols = this.getColumnDimension();<a name="line.916"></a> <FONT color="green">917</FONT> final BigDecimal[][] outData = new BigDecimal[nCols][nRows];<a name="line.917"></a> <FONT color="green">918</FONT> for (int row = 0; row < nRows; row++) {<a name="line.918"></a> <FONT color="green">919</FONT> final BigDecimal[] dataRow = data[row];<a name="line.919"></a> <FONT color="green">920</FONT> for (int col = 0; col < nCols; col++) {<a name="line.920"></a> <FONT color="green">921</FONT> outData[col][row] = dataRow[col];<a name="line.921"></a> <FONT color="green">922</FONT> }<a name="line.922"></a> <FONT color="green">923</FONT> }<a name="line.923"></a> <FONT color="green">924</FONT> return new BigMatrixImpl(outData, false);<a name="line.924"></a> <FONT color="green">925</FONT> }<a name="line.925"></a> <FONT color="green">926</FONT> <a name="line.926"></a> <FONT color="green">927</FONT> /**<a name="line.927"></a> <FONT color="green">928</FONT> * Returns the inverse matrix if this matrix is invertible.<a name="line.928"></a> <FONT color="green">929</FONT> *<a name="line.929"></a> <FONT color="green">930</FONT> * @return inverse matrix<a name="line.930"></a> <FONT color="green">931</FONT> * @throws InvalidMatrixException if this is not invertible<a name="line.931"></a> <FONT color="green">932</FONT> */<a name="line.932"></a> <FONT color="green">933</FONT> public BigMatrix inverse() throws InvalidMatrixException {<a name="line.933"></a> <FONT color="green">934</FONT> return solve(MatrixUtils.createBigIdentityMatrix(getRowDimension()));<a name="line.934"></a> <FONT color="green">935</FONT> }<a name="line.935"></a> <FONT color="green">936</FONT> <a name="line.936"></a> <FONT color="green">937</FONT> /**<a name="line.937"></a> <FONT color="green">938</FONT> * Returns the determinant of this matrix.<a name="line.938"></a> <FONT color="green">939</FONT> *<a name="line.939"></a> <FONT color="green">940</FONT> * @return determinant<a name="line.940"></a> <FONT color="green">941</FONT> * @throws InvalidMatrixException if matrix is not square<a name="line.941"></a> <FONT color="green">942</FONT> */<a name="line.942"></a> <FONT color="green">943</FONT> public BigDecimal getDeterminant() throws InvalidMatrixException {<a name="line.943"></a> <FONT color="green">944</FONT> if (!isSquare()) {<a name="line.944"></a> <FONT color="green">945</FONT> throw new NonSquareMatrixException(getRowDimension(), getColumnDimension());<a name="line.945"></a> <FONT color="green">946</FONT> }<a name="line.946"></a> <FONT color="green">947</FONT> if (isSingular()) { // note: this has side effect of attempting LU decomp if lu == null<a name="line.947"></a> <FONT color="green">948</FONT> return ZERO;<a name="line.948"></a> <FONT color="green">949</FONT> } else {<a name="line.949"></a> <FONT color="green">950</FONT> BigDecimal det = (parity == 1) ? ONE : ONE.negate();<a name="line.950"></a> <FONT color="green">951</FONT> for (int i = 0; i < getRowDimension(); i++) {<a name="line.951"></a> <FONT color="green">952</FONT> det = det.multiply(lu[i][i]);<a name="line.952"></a> <FONT color="green">953</FONT> }<a name="line.953"></a> <FONT color="green">954</FONT> return det;<a name="line.954"></a> <FONT color="green">955</FONT> }<a name="line.955"></a> <FONT color="green">956</FONT> }<a name="line.956"></a> <FONT color="green">957</FONT> <a name="line.957"></a> <FONT color="green">958</FONT> /**<a name="line.958"></a> <FONT color="green">959</FONT> * Is this a square matrix?<a name="line.959"></a> <FONT color="green">960</FONT> * @return true if the matrix is square (rowDimension = columnDimension)<a name="line.960"></a> <FONT color="green">961</FONT> */<a name="line.961"></a> <FONT color="green">962</FONT> public boolean isSquare() {<a name="line.962"></a> <FONT color="green">963</FONT> return getColumnDimension() == getRowDimension();<a name="line.963"></a> <FONT color="green">964</FONT> }<a name="line.964"></a> <FONT color="green">965</FONT> <a name="line.965"></a> <FONT color="green">966</FONT> /**<a name="line.966"></a> <FONT color="green">967</FONT> * Is this a singular matrix?<a name="line.967"></a> <FONT color="green">968</FONT> * @return true if the matrix is singular<a name="line.968"></a> <FONT color="green">969</FONT> */<a name="line.969"></a> <FONT color="green">970</FONT> public boolean isSingular() {<a name="line.970"></a> <FONT color="green">971</FONT> if (lu == null) {<a name="line.971"></a> <FONT color="green">972</FONT> try {<a name="line.972"></a> <FONT color="green">973</FONT> luDecompose();<a name="line.973"></a> <FONT color="green">974</FONT> return false;<a name="line.974"></a> <FONT color="green">975</FONT> } catch (InvalidMatrixException ex) {<a name="line.975"></a> <FONT color="green">976</FONT> return true;<a name="line.976"></a> <FONT color="green">977</FONT> }<a name="line.977"></a> <FONT color="green">978</FONT> } else { // LU decomp must have been successfully performed<a name="line.978"></a> <FONT color="green">979</FONT> return false; // so the matrix is not singular<a name="line.979"></a> <FONT color="green">980</FONT> }<a name="line.980"></a> <FONT color="green">981</FONT> }<a name="line.981"></a> <FONT color="green">982</FONT> <a name="line.982"></a> <FONT color="green">983</FONT> /**<a name="line.983"></a> <FONT color="green">984</FONT> * Returns the number of rows in the matrix.<a name="line.984"></a> <FONT color="green">985</FONT> *<a name="line.985"></a> <FONT color="green">986</FONT> * @return rowDimension<a name="line.986"></a> <FONT color="green">987</FONT> */<a name="line.987"></a> <FONT color="green">988</FONT> public int getRowDimension() {<a name="line.988"></a> <FONT color="green">989</FONT> return data.length;<a name="line.989"></a> <FONT color="green">990</FONT> }<a name="line.990"></a> <FONT color="green">991</FONT> <a name="line.991"></a> <FONT color="green">992</FONT> /**<a name="line.992"></a> <FONT color="green">993</FONT> * Returns the number of columns in the matrix.<a name="line.993"></a> <FONT color="green">994</FONT> *<a name="line.994"></a> <FONT color="green">995</FONT> * @return columnDimension<a name="line.995"></a> <FONT color="green">996</FONT> */<a name="line.996"></a> <FONT color="green">997</FONT> public int getColumnDimension() {<a name="line.997"></a> <FONT color="green">998</FONT> return data[0].length;<a name="line.998"></a> <FONT color="green">999</FONT> }<a name="line.999"></a> <FONT color="green">1000</FONT> <a name="line.1000"></a> <FONT color="green">1001</FONT> /**<a name="line.1001"></a> <FONT color="green">1002</FONT> * Returns the <a href="http://mathworld.wolfram.com/MatrixTrace.html"><a name="line.1002"></a> <FONT color="green">1003</FONT> * trace</a> of the matrix (the sum of the elements on the main diagonal).<a name="line.1003"></a> <FONT color="green">1004</FONT> *<a name="line.1004"></a> <FONT color="green">1005</FONT> * @return trace<a name="line.1005"></a> <FONT color="green">1006</FONT> *<a name="line.1006"></a> <FONT color="green">1007</FONT> * @throws IllegalArgumentException if this matrix is not square.<a name="line.1007"></a> <FONT color="green">1008</FONT> */<a name="line.1008"></a> <FONT color="green">1009</FONT> public BigDecimal getTrace() throws IllegalArgumentException {<a name="line.1009"></a> <FONT color="green">1010</FONT> if (!isSquare()) {<a name="line.1010"></a> <FONT color="green">1011</FONT> throw new NonSquareMatrixException(getRowDimension(), getColumnDimension());<a name="line.1011"></a> <FONT color="green">1012</FONT> }<a name="line.1012"></a> <FONT color="green">1013</FONT> BigDecimal trace = data[0][0];<a name="line.1013"></a> <FONT color="green">1014</FONT> for (int i = 1; i < this.getRowDimension(); i++) {<a name="line.1014"></a> <FONT color="green">1015</FONT> trace = trace.add(data[i][i]);<a name="line.1015"></a> <FONT color="green">1016</FONT> }<a name="line.1016"></a> <FONT color="green">1017</FONT> return trace;<a name="line.1017"></a> <FONT color="green">1018</FONT> }<a name="line.1018"></a> <FONT color="green">1019</FONT> <a name="line.1019"></a> <FONT color="green">1020</FONT> /**<a name="line.1020"></a> <FONT color="green">1021</FONT> * Returns the result of multiplying this by the vector <code>v</code>.<a name="line.1021"></a> <FONT color="green">1022</FONT> *<a name="line.1022"></a> <FONT color="green">1023</FONT> * @param v the vector to operate on<a name="line.1023"></a> <FONT color="green">1024</FONT> * @return this*v<a name="line.1024"></a> <FONT color="green">1025</FONT> * @throws IllegalArgumentException if columnDimension != v.size()<a name="line.1025"></a> <FONT color="green">1026</FONT> */<a name="line.1026"></a> <FONT color="green">1027</FONT> public BigDecimal[] operate(BigDecimal[] v) throws IllegalArgumentException {<a name="line.1027"></a> <FONT color="green">1028</FONT> if (v.length != getColumnDimension()) {<a name="line.1028"></a> <FONT color="green">1029</FONT> throw MathRuntimeException.createIllegalArgumentException(<a name="line.1029"></a> <FONT color="green">1030</FONT> "vector length mismatch: got {0} but expected {1}",<a name="line.1030"></a> <FONT color="green">1031</FONT> v.length, getColumnDimension() );<a name="line.1031"></a> <FONT color="green">1032</FONT> }<a name="line.1032"></a> <FONT color="green">1033</FONT> final int nRows = this.getRowDimension();<a name="line.1033"></a> <FONT color="green">1034</FONT> final int nCols = this.getColumnDimension();<a name="line.1034"></a> <FONT color="green">1035</FONT> final BigDecimal[] out = new BigDecimal[nRows];<a name="line.1035"></a> <FONT color="green">1036</FONT> for (int row = 0; row < nRows; row++) {<a name="line.1036"></a> <FONT color="green">1037</FONT> BigDecimal sum = ZERO;<a name="line.1037"></a> <FONT color="green">1038</FONT> for (int i = 0; i < nCols; i++) {<a name="line.1038"></a> <FONT color="green">1039</FONT> sum = sum.add(data[row][i].multiply(v[i]));<a name="line.1039"></a> <FONT color="green">1040</FONT> }<a name="line.1040"></a> <FONT color="green">1041</FONT> out[row] = sum;<a name="line.1041"></a> <FONT color="green">1042</FONT> }<a name="line.1042"></a> <FONT color="green">1043</FONT> return out;<a name="line.1043"></a> <FONT color="green">1044</FONT> }<a name="line.1044"></a> <FONT color="green">1045</FONT> <a name="line.1045"></a> <FONT color="green">1046</FONT> /**<a name="line.1046"></a> <FONT color="green">1047</FONT> * Returns the result of multiplying this by the vector <code>v</code>.<a name="line.1047"></a> <FONT color="green">1048</FONT> *<a name="line.1048"></a> <FONT color="green">1049</FONT> * @param v the vector to operate on<a name="line.1049"></a> <FONT color="green">1050</FONT> * @return this*v<a name="line.1050"></a> <FONT color="green">1051</FONT> * @throws IllegalArgumentException if columnDimension != v.size()<a name="line.1051"></a> <FONT color="green">1052</FONT> */<a name="line.1052"></a> <FONT color="green">1053</FONT> public BigDecimal[] operate(double[] v) throws IllegalArgumentException {<a name="line.1053"></a> <FONT color="green">1054</FONT> final BigDecimal bd[] = new BigDecimal[v.length];<a name="line.1054"></a> <FONT color="green">1055</FONT> for (int i = 0; i < bd.length; i++) {<a name="line.1055"></a> <FONT color="green">1056</FONT> bd[i] = new BigDecimal(v[i]);<a name="line.1056"></a> <FONT color="green">1057</FONT> }<a name="line.1057"></a> <FONT color="green">1058</FONT> return operate(bd);<a name="line.1058"></a> <FONT color="green">1059</FONT> }<a name="line.1059"></a> <FONT color="green">1060</FONT> <a name="line.1060"></a> <FONT color="green">1061</FONT> /**<a name="line.1061"></a> <FONT color="green">1062</FONT> * Returns the (row) vector result of premultiplying this by the vector <code>v</code>.<a name="line.1062"></a> <FONT color="green">1063</FONT> *<a name="line.1063"></a> <FONT color="green">1064</FONT> * @param v the row vector to premultiply by<a name="line.1064"></a> <FONT color="green">1065</FONT> * @return v*this<a name="line.1065"></a> <FONT color="green">1066</FONT> * @throws IllegalArgumentException if rowDimension != v.size()<a name="line.1066"></a> <FONT color="green">1067</FONT> */<a name="line.1067"></a> <FONT color="green">1068</FONT> public BigDecimal[] preMultiply(BigDecimal[] v) throws IllegalArgumentException {<a name="line.1068"></a> <FONT color="green">1069</FONT> final int nRows = this.getRowDimension();<a name="line.1069"></a> <FONT color="green">1070</FONT> if (v.length != nRows) {<a name="line.1070"></a> <FONT color="green">1071</FONT> throw MathRuntimeException.createIllegalArgumentException(<a name="line.1071"></a> <FONT color="green">1072</FONT> "vector length mismatch: got {0} but expected {1}",<a name="line.1072"></a> <FONT color="green">1073</FONT> v.length, nRows );<a name="line.1073"></a> <FONT color="green">1074</FONT> }<a name="line.1074"></a> <FONT color="green">1075</FONT> final int nCols = this.getColumnDimension();<a name="line.1075"></a> <FONT color="green">1076</FONT> final BigDecimal[] out = new BigDecimal[nCols];<a name="line.1076"></a> <FONT color="green">1077</FONT> for (int col = 0; col < nCols; col++) {<a name="line.1077"></a> <FONT color="green">1078</FONT> BigDecimal sum = ZERO;<a name="line.1078"></a> <FONT color="green">1079</FONT> for (int i = 0; i < nRows; i++) {<a name="line.1079"></a> <FONT color="green">1080</FONT> sum = sum.add(data[i][col].multiply(v[i]));<a name="line.1080"></a> <FONT color="green">1081</FONT> }<a name="line.1081"></a> <FONT color="green">1082</FONT> out[col] = sum;<a name="line.1082"></a> <FONT color="green">1083</FONT> }<a name="line.1083"></a> <FONT color="green">1084</FONT> return out;<a name="line.1084"></a> <FONT color="green">1085</FONT> }<a name="line.1085"></a> <FONT color="green">1086</FONT> <a name="line.1086"></a> <FONT color="green">1087</FONT> /**<a name="line.1087"></a> <FONT color="green">1088</FONT> * Returns a matrix of (column) solution vectors for linear systems with<a name="line.1088"></a> <FONT color="green">1089</FONT> * coefficient matrix = this and constant vectors = columns of<a name="line.1089"></a> <FONT color="green">1090</FONT> * <code>b</code>.<a name="line.1090"></a> <FONT color="green">1091</FONT> *<a name="line.1091"></a> <FONT color="green">1092</FONT> * @param b array of constants forming RHS of linear systems to<a name="line.1092"></a> <FONT color="green">1093</FONT> * to solve<a name="line.1093"></a> <FONT color="green">1094</FONT> * @return solution array<a name="line.1094"></a> <FONT color="green">1095</FONT> * @throws IllegalArgumentException if this.rowDimension != row dimension<a name="line.1095"></a> <FONT color="green">1096</FONT> * @throws InvalidMatrixException if this matrix is not square or is singular<a name="line.1096"></a> <FONT color="green">1097</FONT> */<a name="line.1097"></a> <FONT color="green">1098</FONT> public BigDecimal[] solve(BigDecimal[] b) throws IllegalArgumentException, InvalidMatrixException {<a name="line.1098"></a> <FONT color="green">1099</FONT> final int nRows = this.getRowDimension();<a name="line.1099"></a> <FONT color="green">1100</FONT> if (b.length != nRows) {<a name="line.1100"></a> <FONT color="green">1101</FONT> throw MathRuntimeException.createIllegalArgumentException(<a name="line.1101"></a> <FONT color="green">1102</FONT> "vector length mismatch: got {0} but expected {1}",<a name="line.1102"></a> <FONT color="green">1103</FONT> b.length, nRows);<a name="line.1103"></a> <FONT color="green">1104</FONT> }<a name="line.1104"></a> <FONT color="green">1105</FONT> final BigMatrix bMatrix = new BigMatrixImpl(b);<a name="line.1105"></a> <FONT color="green">1106</FONT> final BigDecimal[][] solution = ((BigMatrixImpl) (solve(bMatrix))).getDataRef();<a name="line.1106"></a> <FONT color="green">1107</FONT> final BigDecimal[] out = new BigDecimal[nRows];<a name="line.1107"></a> <FONT color="green">1108</FONT> for (int row = 0; row < nRows; row++) {<a name="line.1108"></a> <FONT color="green">1109</FONT> out[row] = solution[row][0];<a name="line.1109"></a> <FONT color="green">1110</FONT> }<a name="line.1110"></a> <FONT color="green">1111</FONT> return out;<a name="line.1111"></a> <FONT color="green">1112</FONT> }<a name="line.1112"></a> <FONT color="green">1113</FONT> <a name="line.1113"></a> <FONT color="green">1114</FONT> /**<a name="line.1114"></a> <FONT color="green">1115</FONT> * Returns a matrix of (column) solution vectors for linear systems with<a name="line.1115"></a> <FONT color="green">1116</FONT> * coefficient matrix = this and constant vectors = columns of<a name="line.1116"></a> <FONT color="green">1117</FONT> * <code>b</code>.<a name="line.1117"></a> <FONT color="green">1118</FONT> *<a name="line.1118"></a> <FONT color="green">1119</FONT> * @param b array of constants forming RHS of linear systems to<a name="line.1119"></a> <FONT color="green">1120</FONT> * to solve<a name="line.1120"></a> <FONT color="green">1121</FONT> * @return solution array<a name="line.1121"></a> <FONT color="green">1122</FONT> * @throws IllegalArgumentException if this.rowDimension != row dimension<a name="line.1122"></a> <FONT color="green">1123</FONT> * @throws InvalidMatrixException if this matrix is not square or is singular<a name="line.1123"></a> <FONT color="green">1124</FONT> */<a name="line.1124"></a> <FONT color="green">1125</FONT> public BigDecimal[] solve(double[] b) throws IllegalArgumentException, InvalidMatrixException {<a name="line.1125"></a> <FONT color="green">1126</FONT> final BigDecimal bd[] = new BigDecimal[b.length];<a name="line.1126"></a> <FONT color="green">1127</FONT> for (int i = 0; i < bd.length; i++) {<a name="line.1127"></a> <FONT color="green">1128</FONT> bd[i] = new BigDecimal(b[i]);<a name="line.1128"></a> <FONT color="green">1129</FONT> }<a name="line.1129"></a> <FONT color="green">1130</FONT> return solve(bd);<a name="line.1130"></a> <FONT color="green">1131</FONT> }<a name="line.1131"></a> <FONT color="green">1132</FONT> <a name="line.1132"></a> <FONT color="green">1133</FONT> /**<a name="line.1133"></a> <FONT color="green">1134</FONT> * Returns a matrix of (column) solution vectors for linear systems with<a name="line.1134"></a> <FONT color="green">1135</FONT> * coefficient matrix = this and constant vectors = columns of<a name="line.1135"></a> <FONT color="green">1136</FONT> * <code>b</code>.<a name="line.1136"></a> <FONT color="green">1137</FONT> *<a name="line.1137"></a> <FONT color="green">1138</FONT> * @param b matrix of constant vectors forming RHS of linear systems to<a name="line.1138"></a> <FONT color="green">1139</FONT> * to solve<a name="line.1139"></a> <FONT color="green">1140</FONT> * @return matrix of solution vectors<a name="line.1140"></a> <FONT color="green">1141</FONT> * @throws IllegalArgumentException if this.rowDimension != row dimension<a name="line.1141"></a> <FONT color="green">1142</FONT> * @throws InvalidMatrixException if this matrix is not square or is singular<a name="line.1142"></a> <FONT color="green">1143</FONT> */<a name="line.1143"></a> <FONT color="green">1144</FONT> public BigMatrix solve(BigMatrix b) throws IllegalArgumentException, InvalidMatrixException {<a name="line.1144"></a> <FONT color="green">1145</FONT> if (b.getRowDimension() != getRowDimension()) {<a name="line.1145"></a> <FONT color="green">1146</FONT> throw MathRuntimeException.createIllegalArgumentException(<a name="line.1146"></a> <FONT color="green">1147</FONT> "dimensions mismatch: got {0}x{1} but expected {2}x{3}",<a name="line.1147"></a> <FONT color="green">1148</FONT> b.getRowDimension(), b.getColumnDimension(), getRowDimension(), "n");<a name="line.1148"></a> <FONT color="green">1149</FONT> }<a name="line.1149"></a> <FONT color="green">1150</FONT> if (!isSquare()) {<a name="line.1150"></a> <FONT color="green">1151</FONT> throw new NonSquareMatrixException(getRowDimension(), getColumnDimension());<a name="line.1151"></a> <FONT color="green">1152</FONT> }<a name="line.1152"></a> <FONT color="green">1153</FONT> if (this.isSingular()) { // side effect: compute LU decomp<a name="line.1153"></a> <FONT color="green">1154</FONT> throw new SingularMatrixException();<a name="line.1154"></a> <FONT color="green">1155</FONT> }<a name="line.1155"></a> <FONT color="green">1156</FONT> <a name="line.1156"></a> <FONT color="green">1157</FONT> final int nCol = this.getColumnDimension();<a name="line.1157"></a> <FONT color="green">1158</FONT> final int nColB = b.getColumnDimension();<a name="line.1158"></a> <FONT color="green">1159</FONT> final int nRowB = b.getRowDimension();<a name="line.1159"></a> <FONT color="green">1160</FONT> <a name="line.1160"></a> <FONT color="green">1161</FONT> // Apply permutations to b<a name="line.1161"></a> <FONT color="green">1162</FONT> final BigDecimal[][] bp = new BigDecimal[nRowB][nColB];<a name="line.1162"></a> <FONT color="green">1163</FONT> for (int row = 0; row < nRowB; row++) {<a name="line.1163"></a> <FONT color="green">1164</FONT> final BigDecimal[] bpRow = bp[row];<a name="line.1164"></a> <FONT color="green">1165</FONT> for (int col = 0; col < nColB; col++) {<a name="line.1165"></a> <FONT color="green">1166</FONT> bpRow[col] = b.getEntry(permutation[row], col);<a name="line.1166"></a> <FONT color="green">1167</FONT> }<a name="line.1167"></a> <FONT color="green">1168</FONT> }<a name="line.1168"></a> <FONT color="green">1169</FONT> <a name="line.1169"></a> <FONT color="green">1170</FONT> // Solve LY = b<a name="line.1170"></a> <FONT color="green">1171</FONT> for (int col = 0; col < nCol; col++) {<a name="line.1171"></a> <FONT color="green">1172</FONT> for (int i = col + 1; i < nCol; i++) {<a name="line.1172"></a> <FONT color="green">1173</FONT> final BigDecimal[] bpI = bp[i];<a name="line.1173"></a> <FONT color="green">1174</FONT> final BigDecimal[] luI = lu[i];<a name="line.1174"></a> <FONT color="green">1175</FONT> for (int j = 0; j < nColB; j++) {<a name="line.1175"></a> <FONT color="green">1176</FONT> bpI[j] = bpI[j].subtract(bp[col][j].multiply(luI[col]));<a name="line.1176"></a> <FONT color="green">1177</FONT> }<a name="line.1177"></a> <FONT color="green">1178</FONT> }<a name="line.1178"></a> <FONT color="green">1179</FONT> }<a name="line.1179"></a> <FONT color="green">1180</FONT> <a name="line.1180"></a> <FONT color="green">1181</FONT> // Solve UX = Y<a name="line.1181"></a> <FONT color="green">1182</FONT> for (int col = nCol - 1; col >= 0; col--) {<a name="line.1182"></a> <FONT color="green">1183</FONT> final BigDecimal[] bpCol = bp[col];<a name="line.1183"></a> <FONT color="green">1184</FONT> final BigDecimal luDiag = lu[col][col];<a name="line.1184"></a> <FONT color="green">1185</FONT> for (int j = 0; j < nColB; j++) {<a name="line.1185"></a> <FONT color="green">1186</FONT> bpCol[j] = bpCol[j].divide(luDiag, scale, roundingMode);<a name="line.1186"></a> <FONT color="green">1187</FONT> }<a name="line.1187"></a> <FONT color="green">1188</FONT> for (int i = 0; i < col; i++) {<a name="line.1188"></a> <FONT color="green">1189</FONT> final BigDecimal[] bpI = bp[i];<a name="line.1189"></a> <FONT color="green">1190</FONT> final BigDecimal[] luI = lu[i];<a name="line.1190"></a> <FONT color="green">1191</FONT> for (int j = 0; j < nColB; j++) {<a name="line.1191"></a> <FONT color="green">1192</FONT> bpI[j] = bpI[j].subtract(bp[col][j].multiply(luI[col]));<a name="line.1192"></a> <FONT color="green">1193</FONT> }<a name="line.1193"></a> <FONT color="green">1194</FONT> }<a name="line.1194"></a> <FONT color="green">1195</FONT> }<a name="line.1195"></a> <FONT color="green">1196</FONT> <a name="line.1196"></a> <FONT color="green">1197</FONT> return new BigMatrixImpl(bp, false);<a name="line.1197"></a> <FONT color="green">1198</FONT> <a name="line.1198"></a> <FONT color="green">1199</FONT> }<a name="line.1199"></a> <FONT color="green">1200</FONT> <a name="line.1200"></a> <FONT color="green">1201</FONT> /**<a name="line.1201"></a> <FONT color="green">1202</FONT> * Computes a new<a name="line.1202"></a> <FONT color="green">1203</FONT> * <a href="http://www.math.gatech.edu/~bourbaki/math2601/Web-notes/2num.pdf"><a name="line.1203"></a> <FONT color="green">1204</FONT> * LU decompostion</a> for this matrix, storing the result for use by other methods.<a name="line.1204"></a> <FONT color="green">1205</FONT> * <p><a name="line.1205"></a> <FONT color="green">1206</FONT> * <strong>Implementation Note</strong>:<br><a name="line.1206"></a> <FONT color="green">1207</FONT> * Uses <a href="http://www.damtp.cam.ac.uk/user/fdl/people/sd/lectures/nummeth98/linear.htm"><a name="line.1207"></a> <FONT color="green">1208</FONT> * Crout's algortithm</a>, with partial pivoting.</p><a name="line.1208"></a> <FONT color="green">1209</FONT> * <p><a name="line.1209"></a> <FONT color="green">1210</FONT> * <strong>Usage Note</strong>:<br><a name="line.1210"></a> <FONT color="green">1211</FONT> * This method should rarely be invoked directly. Its only use is<a name="line.1211"></a> <FONT color="green">1212</FONT> * to force recomputation of the LU decomposition when changes have been<a name="line.1212"></a> <FONT color="green">1213</FONT> * made to the underlying data using direct array references. Changes<a name="line.1213"></a> <FONT color="green">1214</FONT> * made using setXxx methods will trigger recomputation when needed<a name="line.1214"></a> <FONT color="green">1215</FONT> * automatically.</p><a name="line.1215"></a> <FONT color="green">1216</FONT> *<a name="line.1216"></a> <FONT color="green">1217</FONT> * @throws InvalidMatrixException if the matrix is non-square or singular.<a name="line.1217"></a> <FONT color="green">1218</FONT> */<a name="line.1218"></a> <FONT color="green">1219</FONT> public void luDecompose() throws InvalidMatrixException {<a name="line.1219"></a> <FONT color="green">1220</FONT> <a name="line.1220"></a> <FONT color="green">1221</FONT> final int nRows = this.getRowDimension();<a name="line.1221"></a> <FONT color="green">1222</FONT> final int nCols = this.getColumnDimension();<a name="line.1222"></a> <FONT color="green">1223</FONT> if (nRows != nCols) {<a name="line.1223"></a> <FONT color="green">1224</FONT> throw new NonSquareMatrixException(getRowDimension(), getColumnDimension());<a name="line.1224"></a> <FONT color="green">1225</FONT> }<a name="line.1225"></a> <FONT color="green">1226</FONT> lu = this.getData();<a name="line.1226"></a> <FONT color="green">1227</FONT> <a name="line.1227"></a> <FONT color="green">1228</FONT> // Initialize permutation array and parity<a name="line.1228"></a> <FONT color="green">1229</FONT> permutation = new int[nRows];<a name="line.1229"></a> <FONT color="green">1230</FONT> for (int row = 0; row < nRows; row++) {<a name="line.1230"></a> <FONT color="green">1231</FONT> permutation[row] = row;<a name="line.1231"></a> <FONT color="green">1232</FONT> }<a name="line.1232"></a> <FONT color="green">1233</FONT> parity = 1;<a name="line.1233"></a> <FONT color="green">1234</FONT> <a name="line.1234"></a> <FONT color="green">1235</FONT> // Loop over columns<a name="line.1235"></a> <FONT color="green">1236</FONT> for (int col = 0; col < nCols; col++) {<a name="line.1236"></a> <FONT color="green">1237</FONT> <a name="line.1237"></a> <FONT color="green">1238</FONT> BigDecimal sum = ZERO;<a name="line.1238"></a> <FONT color="green">1239</FONT> <a name="line.1239"></a> <FONT color="green">1240</FONT> // upper<a name="line.1240"></a> <FONT color="green">1241</FONT> for (int row = 0; row < col; row++) {<a name="line.1241"></a> <FONT color="green">1242</FONT> final BigDecimal[] luRow = lu[row];<a name="line.1242"></a> <FONT color="green">1243</FONT> sum = luRow[col];<a name="line.1243"></a> <FONT color="green">1244</FONT> for (int i = 0; i < row; i++) {<a name="line.1244"></a> <FONT color="green">1245</FONT> sum = sum.subtract(luRow[i].multiply(lu[i][col]));<a name="line.1245"></a> <FONT color="green">1246</FONT> }<a name="line.1246"></a> <FONT color="green">1247</FONT> luRow[col] = sum;<a name="line.1247"></a> <FONT color="green">1248</FONT> }<a name="line.1248"></a> <FONT color="green">1249</FONT> <a name="line.1249"></a> <FONT color="green">1250</FONT> // lower<a name="line.1250"></a> <FONT color="green">1251</FONT> int max = col; // permutation row<a name="line.1251"></a> <FONT color="green">1252</FONT> BigDecimal largest = ZERO;<a name="line.1252"></a> <FONT color="green">1253</FONT> for (int row = col; row < nRows; row++) {<a name="line.1253"></a> <FONT color="green">1254</FONT> final BigDecimal[] luRow = lu[row];<a name="line.1254"></a> <FONT color="green">1255</FONT> sum = luRow[col];<a name="line.1255"></a> <FONT color="green">1256</FONT> for (int i = 0; i < col; i++) {<a name="line.1256"></a> <FONT color="green">1257</FONT> sum = sum.subtract(luRow[i].multiply(lu[i][col]));<a name="line.1257"></a> <FONT color="green">1258</FONT> }<a name="line.1258"></a> <FONT color="green">1259</FONT> luRow[col] = sum;<a name="line.1259"></a> <FONT color="green">1260</FONT> <a name="line.1260"></a> <FONT color="green">1261</FONT> // maintain best permutation choice<a name="line.1261"></a> <FONT color="green">1262</FONT> if (sum.abs().compareTo(largest) == 1) {<a name="line.1262"></a> <FONT color="green">1263</FONT> largest = sum.abs();<a name="line.1263"></a> <FONT color="green">1264</FONT> max = row;<a name="line.1264"></a> <FONT color="green">1265</FONT> }<a name="line.1265"></a> <FONT color="green">1266</FONT> }<a name="line.1266"></a> <FONT color="green">1267</FONT> <a name="line.1267"></a> <FONT color="green">1268</FONT> // Singularity check<a name="line.1268"></a> <FONT color="green">1269</FONT> if (lu[max][col].abs().compareTo(TOO_SMALL) <= 0) {<a name="line.1269"></a> <FONT color="green">1270</FONT> lu = null;<a name="line.1270"></a> <FONT color="green">1271</FONT> throw new SingularMatrixException();<a name="line.1271"></a> <FONT color="green">1272</FONT> }<a name="line.1272"></a> <FONT color="green">1273</FONT> <a name="line.1273"></a> <FONT color="green">1274</FONT> // Pivot if necessary<a name="line.1274"></a> <FONT color="green">1275</FONT> if (max != col) {<a name="line.1275"></a> <FONT color="green">1276</FONT> BigDecimal tmp = ZERO;<a name="line.1276"></a> <FONT color="green">1277</FONT> for (int i = 0; i < nCols; i++) {<a name="line.1277"></a> <FONT color="green">1278</FONT> tmp = lu[max][i];<a name="line.1278"></a> <FONT color="green">1279</FONT> lu[max][i] = lu[col][i];<a name="line.1279"></a> <FONT color="green">1280</FONT> lu[col][i] = tmp;<a name="line.1280"></a> <FONT color="green">1281</FONT> }<a name="line.1281"></a> <FONT color="green">1282</FONT> int temp = permutation[max];<a name="line.1282"></a> <FONT color="green">1283</FONT> permutation[max] = permutation[col];<a name="line.1283"></a> <FONT color="green">1284</FONT> permutation[col] = temp;<a name="line.1284"></a> <FONT color="green">1285</FONT> parity = -parity;<a name="line.1285"></a> <FONT color="green">1286</FONT> }<a name="line.1286"></a> <FONT color="green">1287</FONT> <a name="line.1287"></a> <FONT color="green">1288</FONT> // Divide the lower elements by the "winning" diagonal elt.<a name="line.1288"></a> <FONT color="green">1289</FONT> final BigDecimal luDiag = lu[col][col];<a name="line.1289"></a> <FONT color="green">1290</FONT> for (int row = col + 1; row < nRows; row++) {<a name="line.1290"></a> <FONT color="green">1291</FONT> final BigDecimal[] luRow = lu[row];<a name="line.1291"></a> <FONT color="green">1292</FONT> luRow[col] = luRow[col].divide(luDiag, scale, roundingMode);<a name="line.1292"></a> <FONT color="green">1293</FONT> }<a name="line.1293"></a> <FONT color="green">1294</FONT> <a name="line.1294"></a> <FONT color="green">1295</FONT> }<a name="line.1295"></a> <FONT color="green">1296</FONT> <a name="line.1296"></a> <FONT color="green">1297</FONT> }<a name="line.1297"></a> <FONT color="green">1298</FONT> <a name="line.1298"></a> <FONT color="green">1299</FONT> /**<a name="line.1299"></a> <FONT color="green">1300</FONT> * Get a string representation for this matrix.<a name="line.1300"></a> <FONT color="green">1301</FONT> * @return a string representation for this matrix<a name="line.1301"></a> <FONT color="green">1302</FONT> */<a name="line.1302"></a> <FONT color="green">1303</FONT> @Override<a name="line.1303"></a> <FONT color="green">1304</FONT> public String toString() {<a name="line.1304"></a> <FONT color="green">1305</FONT> StringBuffer res = new StringBuffer();<a name="line.1305"></a> <FONT color="green">1306</FONT> res.append("BigMatrixImpl{");<a name="line.1306"></a> <FONT color="green">1307</FONT> if (data != null) {<a name="line.1307"></a> <FONT color="green">1308</FONT> for (int i = 0; i < data.length; i++) {<a name="line.1308"></a> <FONT color="green">1309</FONT> if (i > 0) {<a name="line.1309"></a> <FONT color="green">1310</FONT> res.append(",");<a name="line.1310"></a> <FONT color="green">1311</FONT> }<a name="line.1311"></a> <FONT color="green">1312</FONT> res.append("{");<a name="line.1312"></a> <FONT color="green">1313</FONT> for (int j = 0; j < data[0].length; j++) {<a name="line.1313"></a> <FONT color="green">1314</FONT> if (j > 0) {<a name="line.1314"></a> <FONT color="green">1315</FONT> res.append(",");<a name="line.1315"></a> <FONT color="green">1316</FONT> }<a name="line.1316"></a> <FONT color="green">1317</FONT> res.append(data[i][j]);<a name="line.1317"></a> <FONT color="green">1318</FONT> }<a name="line.1318"></a> <FONT color="green">1319</FONT> res.append("}");<a name="line.1319"></a> <FONT color="green">1320</FONT> }<a name="line.1320"></a> <FONT color="green">1321</FONT> }<a name="line.1321"></a> <FONT color="green">1322</FONT> res.append("}");<a name="line.1322"></a> <FONT color="green">1323</FONT> return res.toString();<a name="line.1323"></a> <FONT color="green">1324</FONT> }<a name="line.1324"></a> <FONT color="green">1325</FONT> <a name="line.1325"></a> <FONT color="green">1326</FONT> /**<a name="line.1326"></a> <FONT color="green">1327</FONT> * Returns true iff <code>object</code> is a<a name="line.1327"></a> <FONT color="green">1328</FONT> * <code>BigMatrixImpl</code> instance with the same dimensions as this<a name="line.1328"></a> <FONT color="green">1329</FONT> * and all corresponding matrix entries are equal. BigDecimal.equals<a name="line.1329"></a> <FONT color="green">1330</FONT> * is used to compare corresponding entries.<a name="line.1330"></a> <FONT color="green">1331</FONT> *<a name="line.1331"></a> <FONT color="green">1332</FONT> * @param object the object to test equality against.<a name="line.1332"></a> <FONT color="green">1333</FONT> * @return true if object equals this<a name="line.1333"></a> <FONT color="green">1334</FONT> */<a name="line.1334"></a> <FONT color="green">1335</FONT> @Override<a name="line.1335"></a> <FONT color="green">1336</FONT> public boolean equals(Object object) {<a name="line.1336"></a> <FONT color="green">1337</FONT> if (object == this ) {<a name="line.1337"></a> <FONT color="green">1338</FONT> return true;<a name="line.1338"></a> <FONT color="green">1339</FONT> }<a name="line.1339"></a> <FONT color="green">1340</FONT> if (object instanceof BigMatrixImpl == false) {<a name="line.1340"></a> <FONT color="green">1341</FONT> return false;<a name="line.1341"></a> <FONT color="green">1342</FONT> }<a name="line.1342"></a> <FONT color="green">1343</FONT> final BigMatrix m = (BigMatrix) object;<a name="line.1343"></a> <FONT color="green">1344</FONT> final int nRows = getRowDimension();<a name="line.1344"></a> <FONT color="green">1345</FONT> final int nCols = getColumnDimension();<a name="line.1345"></a> <FONT color="green">1346</FONT> if (m.getColumnDimension() != nCols || m.getRowDimension() != nRows) {<a name="line.1346"></a> <FONT color="green">1347</FONT> return false;<a name="line.1347"></a> <FONT color="green">1348</FONT> }<a name="line.1348"></a> <FONT color="green">1349</FONT> for (int row = 0; row < nRows; row++) {<a name="line.1349"></a> <FONT color="green">1350</FONT> final BigDecimal[] dataRow = data[row];<a name="line.1350"></a> <FONT color="green">1351</FONT> for (int col = 0; col < nCols; col++) {<a name="line.1351"></a> <FONT color="green">1352</FONT> if (!dataRow[col].equals(m.getEntry(row, col))) {<a name="line.1352"></a> <FONT color="green">1353</FONT> return false;<a name="line.1353"></a> <FONT color="green">1354</FONT> }<a name="line.1354"></a> <FONT color="green">1355</FONT> }<a name="line.1355"></a> <FONT color="green">1356</FONT> }<a name="line.1356"></a> <FONT color="green">1357</FONT> return true;<a name="line.1357"></a> <FONT color="green">1358</FONT> }<a name="line.1358"></a> <FONT color="green">1359</FONT> <a name="line.1359"></a> <FONT color="green">1360</FONT> /**<a name="line.1360"></a> <FONT color="green">1361</FONT> * Computes a hashcode for the matrix.<a name="line.1361"></a> <FONT color="green">1362</FONT> *<a name="line.1362"></a> <FONT color="green">1363</FONT> * @return hashcode for matrix<a name="line.1363"></a> <FONT color="green">1364</FONT> */<a name="line.1364"></a> <FONT color="green">1365</FONT> @Override<a name="line.1365"></a> <FONT color="green">1366</FONT> public int hashCode() {<a name="line.1366"></a> <FONT color="green">1367</FONT> int ret = 7;<a name="line.1367"></a> <FONT color="green">1368</FONT> final int nRows = getRowDimension();<a name="line.1368"></a> <FONT color="green">1369</FONT> final int nCols = getColumnDimension();<a name="line.1369"></a> <FONT color="green">1370</FONT> ret = ret * 31 + nRows;<a name="line.1370"></a> <FONT color="green">1371</FONT> ret = ret * 31 + nCols;<a name="line.1371"></a> <FONT color="green">1372</FONT> for (int row = 0; row < nRows; row++) {<a name="line.1372"></a> <FONT color="green">1373</FONT> final BigDecimal[] dataRow = data[row];<a name="line.1373"></a> <FONT color="green">1374</FONT> for (int col = 0; col < nCols; col++) {<a name="line.1374"></a> <FONT color="green">1375</FONT> ret = ret * 31 + (11 * (row+1) + 17 * (col+1)) *<a name="line.1375"></a> <FONT color="green">1376</FONT> dataRow[col].hashCode();<a name="line.1376"></a> <FONT color="green">1377</FONT> }<a name="line.1377"></a> <FONT color="green">1378</FONT> }<a name="line.1378"></a> <FONT color="green">1379</FONT> return ret;<a name="line.1379"></a> <FONT color="green">1380</FONT> }<a name="line.1380"></a> <FONT color="green">1381</FONT> <a name="line.1381"></a> <FONT color="green">1382</FONT> //------------------------ Protected methods<a name="line.1382"></a> <FONT color="green">1383</FONT> <a name="line.1383"></a> <FONT color="green">1384</FONT> /**<a name="line.1384"></a> <FONT color="green">1385</FONT> * Returns the LU decomposition as a BigMatrix.<a name="line.1385"></a> <FONT color="green">1386</FONT> * Returns a fresh copy of the cached LU matrix if this has been computed;<a name="line.1386"></a> <FONT color="green">1387</FONT> * otherwise the composition is computed and cached for use by other methods.<a name="line.1387"></a> <FONT color="green">1388</FONT> * Since a copy is returned in either case, changes to the returned matrix do not<a name="line.1388"></a> <FONT color="green">1389</FONT> * affect the LU decomposition property.<a name="line.1389"></a> <FONT color="green">1390</FONT> * <p><a name="line.1390"></a> <FONT color="green">1391</FONT> * The matrix returned is a compact representation of the LU decomposition.<a name="line.1391"></a> <FONT color="green">1392</FONT> * Elements below the main diagonal correspond to entries of the "L" matrix;<a name="line.1392"></a> <FONT color="green">1393</FONT> * elements on and above the main diagonal correspond to entries of the "U"<a name="line.1393"></a> <FONT color="green">1394</FONT> * matrix.</p><a name="line.1394"></a> <FONT color="green">1395</FONT> * <p><a name="line.1395"></a> <FONT color="green">1396</FONT> * Example: <pre><a name="line.1396"></a> <FONT color="green">1397</FONT> *<a name="line.1397"></a> <FONT color="green">1398</FONT> * Returned matrix L U<a name="line.1398"></a> <FONT color="green">1399</FONT> * 2 3 1 1 0 0 2 3 1<a name="line.1399"></a> <FONT color="green">1400</FONT> * 5 4 6 5 1 0 0 4 6<a name="line.1400"></a> <FONT color="green">1401</FONT> * 1 7 8 1 7 1 0 0 8<a name="line.1401"></a> <FONT color="green">1402</FONT> * </pre><a name="line.1402"></a> <FONT color="green">1403</FONT> *<a name="line.1403"></a> <FONT color="green">1404</FONT> * The L and U matrices satisfy the matrix equation LU = permuteRows(this), <br><a name="line.1404"></a> <FONT color="green">1405</FONT> * where permuteRows reorders the rows of the matrix to follow the order determined<a name="line.1405"></a> <FONT color="green">1406</FONT> * by the <a href=#getPermutation()>permutation</a> property.</p><a name="line.1406"></a> <FONT color="green">1407</FONT> *<a name="line.1407"></a> <FONT color="green">1408</FONT> * @return LU decomposition matrix<a name="line.1408"></a> <FONT color="green">1409</FONT> * @throws InvalidMatrixException if the matrix is non-square or singular.<a name="line.1409"></a> <FONT color="green">1410</FONT> */<a name="line.1410"></a> <FONT color="green">1411</FONT> protected BigMatrix getLUMatrix() throws InvalidMatrixException {<a name="line.1411"></a> <FONT color="green">1412</FONT> if (lu == null) {<a name="line.1412"></a> <FONT color="green">1413</FONT> luDecompose();<a name="line.1413"></a> <FONT color="green">1414</FONT> }<a name="line.1414"></a> <FONT color="green">1415</FONT> return new BigMatrixImpl(lu);<a name="line.1415"></a> <FONT color="green">1416</FONT> }<a name="line.1416"></a> <FONT color="green">1417</FONT> <a name="line.1417"></a> <FONT color="green">1418</FONT> /**<a name="line.1418"></a> <FONT color="green">1419</FONT> * Returns the permutation associated with the lu decomposition.<a name="line.1419"></a> <FONT color="green">1420</FONT> * The entries of the array represent a permutation of the numbers 0, ... , nRows - 1.<a name="line.1420"></a> <FONT color="green">1421</FONT> * <p><a name="line.1421"></a> <FONT color="green">1422</FONT> * Example:<a name="line.1422"></a> <FONT color="green">1423</FONT> * permutation = [1, 2, 0] means current 2nd row is first, current third row is second<a name="line.1423"></a> <FONT color="green">1424</FONT> * and current first row is last.</p><a name="line.1424"></a> <FONT color="green">1425</FONT> * <p><a name="line.1425"></a> <FONT color="green">1426</FONT> * Returns a fresh copy of the array.</p><a name="line.1426"></a> <FONT color="green">1427</FONT> *<a name="line.1427"></a> <FONT color="green">1428</FONT> * @return the permutation<a name="line.1428"></a> <FONT color="green">1429</FONT> */<a name="line.1429"></a> <FONT color="green">1430</FONT> protected int[] getPermutation() {<a name="line.1430"></a> <FONT color="green">1431</FONT> final int[] out = new int[permutation.length];<a name="line.1431"></a> <FONT color="green">1432</FONT> System.arraycopy(permutation, 0, out, 0, permutation.length);<a name="line.1432"></a> <FONT color="green">1433</FONT> return out;<a name="line.1433"></a> <FONT color="green">1434</FONT> }<a name="line.1434"></a> <FONT color="green">1435</FONT> <a name="line.1435"></a> <FONT color="green">1436</FONT> //------------------------ Private methods<a name="line.1436"></a> <FONT color="green">1437</FONT> <a name="line.1437"></a> <FONT color="green">1438</FONT> /**<a name="line.1438"></a> <FONT color="green">1439</FONT> * Returns a fresh copy of the underlying data array.<a name="line.1439"></a> <FONT color="green">1440</FONT> *<a name="line.1440"></a> <FONT color="green">1441</FONT> * @return a copy of the underlying data array.<a name="line.1441"></a> <FONT color="green">1442</FONT> */<a name="line.1442"></a> <FONT color="green">1443</FONT> private BigDecimal[][] copyOut() {<a name="line.1443"></a> <FONT color="green">1444</FONT> final int nRows = this.getRowDimension();<a name="line.1444"></a> <FONT color="green">1445</FONT> final BigDecimal[][] out = new BigDecimal[nRows][this.getColumnDimension()];<a name="line.1445"></a> <FONT color="green">1446</FONT> // can't copy 2-d array in one shot, otherwise get row references<a name="line.1446"></a> <FONT color="green">1447</FONT> for (int i = 0; i < nRows; i++) {<a name="line.1447"></a> <FONT color="green">1448</FONT> System.arraycopy(data[i], 0, out[i], 0, data[i].length);<a name="line.1448"></a> <FONT color="green">1449</FONT> }<a name="line.1449"></a> <FONT color="green">1450</FONT> return out;<a name="line.1450"></a> <FONT color="green">1451</FONT> }<a name="line.1451"></a> <FONT color="green">1452</FONT> <a name="line.1452"></a> <FONT color="green">1453</FONT> /**<a name="line.1453"></a> <FONT color="green">1454</FONT> * Replaces data with a fresh copy of the input array.<a name="line.1454"></a> <FONT color="green">1455</FONT> * <p><a name="line.1455"></a> <FONT color="green">1456</FONT> * Verifies that the input array is rectangular and non-empty.</p><a name="line.1456"></a> <FONT color="green">1457</FONT> *<a name="line.1457"></a> <FONT color="green">1458</FONT> * @param in data to copy in<a name="line.1458"></a> <FONT color="green">1459</FONT> * @throws IllegalArgumentException if input array is emtpy or not<a name="line.1459"></a> <FONT color="green">1460</FONT> * rectangular<a name="line.1460"></a> <FONT color="green">1461</FONT> * @throws NullPointerException if input array is null<a name="line.1461"></a> <FONT color="green">1462</FONT> */<a name="line.1462"></a> <FONT color="green">1463</FONT> private void copyIn(BigDecimal[][] in) {<a name="line.1463"></a> <FONT color="green">1464</FONT> setSubMatrix(in,0,0);<a name="line.1464"></a> <FONT color="green">1465</FONT> }<a name="line.1465"></a> <FONT color="green">1466</FONT> <a name="line.1466"></a> <FONT color="green">1467</FONT> /**<a name="line.1467"></a> <FONT color="green">1468</FONT> * Replaces data with a fresh copy of the input array.<a name="line.1468"></a> <FONT color="green">1469</FONT> *<a name="line.1469"></a> <FONT color="green">1470</FONT> * @param in data to copy in<a name="line.1470"></a> <FONT color="green">1471</FONT> */<a name="line.1471"></a> <FONT color="green">1472</FONT> private void copyIn(double[][] in) {<a name="line.1472"></a> <FONT color="green">1473</FONT> final int nRows = in.length;<a name="line.1473"></a> <FONT color="green">1474</FONT> final int nCols = in[0].length;<a name="line.1474"></a> <FONT color="green">1475</FONT> data = new BigDecimal[nRows][nCols];<a name="line.1475"></a> <FONT color="green">1476</FONT> for (int i = 0; i < nRows; i++) {<a name="line.1476"></a> <FONT color="green">1477</FONT> final BigDecimal[] dataI = data[i];<a name="line.1477"></a> <FONT color="green">1478</FONT> final double[] inI = in[i];<a name="line.1478"></a> <FONT color="green">1479</FONT> for (int j = 0; j < nCols; j++) {<a name="line.1479"></a> <FONT color="green">1480</FONT> dataI[j] = new BigDecimal(inI[j]);<a name="line.1480"></a> <FONT color="green">1481</FONT> }<a name="line.1481"></a> <FONT color="green">1482</FONT> }<a name="line.1482"></a> <FONT color="green">1483</FONT> lu = null;<a name="line.1483"></a> <FONT color="green">1484</FONT> }<a name="line.1484"></a> <FONT color="green">1485</FONT> <a name="line.1485"></a> <FONT color="green">1486</FONT> /**<a name="line.1486"></a> <FONT color="green">1487</FONT> * Replaces data with BigDecimals represented by the strings in the input<a name="line.1487"></a> <FONT color="green">1488</FONT> * array.<a name="line.1488"></a> <FONT color="green">1489</FONT> *<a name="line.1489"></a> <FONT color="green">1490</FONT> * @param in data to copy in<a name="line.1490"></a> <FONT color="green">1491</FONT> */<a name="line.1491"></a> <FONT color="green">1492</FONT> private void copyIn(String[][] in) {<a name="line.1492"></a> <FONT color="green">1493</FONT> final int nRows = in.length;<a name="line.1493"></a> <FONT color="green">1494</FONT> final int nCols = in[0].length;<a name="line.1494"></a> <FONT color="green">1495</FONT> data = new BigDecimal[nRows][nCols];<a name="line.1495"></a> <FONT color="green">1496</FONT> for (int i = 0; i < nRows; i++) {<a name="line.1496"></a> <FONT color="green">1497</FONT> final BigDecimal[] dataI = data[i];<a name="line.1497"></a> <FONT color="green">1498</FONT> final String[] inI = in[i];<a name="line.1498"></a> <FONT color="green">1499</FONT> for (int j = 0; j < nCols; j++) {<a name="line.1499"></a> <FONT color="green">1500</FONT> dataI[j] = new BigDecimal(inI[j]);<a name="line.1500"></a> <FONT color="green">1501</FONT> }<a name="line.1501"></a> <FONT color="green">1502</FONT> }<a name="line.1502"></a> <FONT color="green">1503</FONT> lu = null;<a name="line.1503"></a> <FONT color="green">1504</FONT> }<a name="line.1504"></a> <FONT color="green">1505</FONT> <a name="line.1505"></a> <FONT color="green">1506</FONT> }<a name="line.1506"></a> </PRE> </BODY> </HTML>