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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> <a name="line.19"></a> <FONT color="green">020</FONT> import java.io.Serializable;<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.Field;<a name="line.22"></a> <FONT color="green">023</FONT> import org.apache.commons.math.FieldElement;<a name="line.23"></a> <FONT color="green">024</FONT> import org.apache.commons.math.MathRuntimeException;<a name="line.24"></a> <FONT color="green">025</FONT> <a name="line.25"></a> <FONT color="green">026</FONT> /**<a name="line.26"></a> <FONT color="green">027</FONT> * Cache-friendly implementation of FieldMatrix using a flat arrays to store<a name="line.27"></a> <FONT color="green">028</FONT> * square blocks of the matrix.<a name="line.28"></a> <FONT color="green">029</FONT> * <p><a name="line.29"></a> <FONT color="green">030</FONT> * This implementation is specially designed to be cache-friendly. Square blocks are<a name="line.30"></a> <FONT color="green">031</FONT> * stored as small arrays and allow efficient traversal of data both in row major direction<a name="line.31"></a> <FONT color="green">032</FONT> * and columns major direction, one block at a time. This greatly increases performances<a name="line.32"></a> <FONT color="green">033</FONT> * for algorithms that use crossed directions loops like multiplication or transposition.<a name="line.33"></a> <FONT color="green">034</FONT> * </p><a name="line.34"></a> <FONT color="green">035</FONT> * <p><a name="line.35"></a> <FONT color="green">036</FONT> * The size of square blocks is a static parameter. It may be tuned according to the cache<a name="line.36"></a> <FONT color="green">037</FONT> * size of the target computer processor. As a rule of thumbs, it should be the largest<a name="line.37"></a> <FONT color="green">038</FONT> * value that allows three blocks to be simultaneously cached (this is necessary for example<a name="line.38"></a> <FONT color="green">039</FONT> * for matrix multiplication). The default value is to use 36x36 blocks.<a name="line.39"></a> <FONT color="green">040</FONT> * </p><a name="line.40"></a> <FONT color="green">041</FONT> * <p><a name="line.41"></a> <FONT color="green">042</FONT> * The regular blocks represent {@link #BLOCK_SIZE} x {@link #BLOCK_SIZE} squares. Blocks<a name="line.42"></a> <FONT color="green">043</FONT> * at right hand side and bottom side which may be smaller to fit matrix dimensions. The square<a name="line.43"></a> <FONT color="green">044</FONT> * blocks are flattened in row major order in single dimension arrays which are therefore<a name="line.44"></a> <FONT color="green">045</FONT> * {@link #BLOCK_SIZE}<sup>2</sup> elements long for regular blocks. The blocks are themselves<a name="line.45"></a> <FONT color="green">046</FONT> * organized in row major order.<a name="line.46"></a> <FONT color="green">047</FONT> * </p><a name="line.47"></a> <FONT color="green">048</FONT> * <p><a name="line.48"></a> <FONT color="green">049</FONT> * As an example, for a block size of 36x36, a 100x60 matrix would be stored in 6 blocks.<a name="line.49"></a> <FONT color="green">050</FONT> * Block 0 would be a Field[1296] array holding the upper left 36x36 square, block 1 would be<a name="line.50"></a> <FONT color="green">051</FONT> * a Field[1296] array holding the upper center 36x36 square, block 2 would be a Field[1008]<a name="line.51"></a> <FONT color="green">052</FONT> * array holding the upper right 36x28 rectangle, block 3 would be a Field[864] array holding<a name="line.52"></a> <FONT color="green">053</FONT> * the lower left 24x36 rectangle, block 4 would be a Field[864] array holding the lower center<a name="line.53"></a> <FONT color="green">054</FONT> * 24x36 rectangle and block 5 would be a Field[672] array holding the lower right 24x28<a name="line.54"></a> <FONT color="green">055</FONT> * rectangle.<a name="line.55"></a> <FONT color="green">056</FONT> * </p><a name="line.56"></a> <FONT color="green">057</FONT> * <p><a name="line.57"></a> <FONT color="green">058</FONT> * The layout complexity overhead versus simple mapping of matrices to java<a name="line.58"></a> <FONT color="green">059</FONT> * arrays is negligible for small matrices (about 1%). The gain from cache efficiency leads<a name="line.59"></a> <FONT color="green">060</FONT> * to up to 3-fold improvements for matrices of moderate to large size.<a name="line.60"></a> <FONT color="green">061</FONT> * </p><a name="line.61"></a> <FONT color="green">062</FONT> * @param <T> the type of the field elements<a name="line.62"></a> <FONT color="green">063</FONT> * @version $Revision: 825919 $ $Date: 2009-10-16 10:51:55 -0400 (Fri, 16 Oct 2009) $<a name="line.63"></a> <FONT color="green">064</FONT> * @since 2.0<a name="line.64"></a> <FONT color="green">065</FONT> */<a name="line.65"></a> <FONT color="green">066</FONT> public class BlockFieldMatrix<T extends FieldElement<T>> extends AbstractFieldMatrix<T> implements Serializable {<a name="line.66"></a> <FONT color="green">067</FONT> <a name="line.67"></a> <FONT color="green">068</FONT> /** Block size. */<a name="line.68"></a> <FONT color="green">069</FONT> public static final int BLOCK_SIZE = 36;<a name="line.69"></a> <FONT color="green">070</FONT> <a name="line.70"></a> <FONT color="green">071</FONT> /** Serializable version identifier */<a name="line.71"></a> <FONT color="green">072</FONT> private static final long serialVersionUID = -4602336630143123183L;<a name="line.72"></a> <FONT color="green">073</FONT> <a name="line.73"></a> <FONT color="green">074</FONT> /** Blocks of matrix entries. */<a name="line.74"></a> <FONT color="green">075</FONT> private final T blocks[][];<a name="line.75"></a> <FONT color="green">076</FONT> <a name="line.76"></a> <FONT color="green">077</FONT> /** Number of rows of the matrix. */<a name="line.77"></a> <FONT color="green">078</FONT> private final int rows;<a name="line.78"></a> <FONT color="green">079</FONT> <a name="line.79"></a> <FONT color="green">080</FONT> /** Number of columns of the matrix. */<a name="line.80"></a> <FONT color="green">081</FONT> private final int columns;<a name="line.81"></a> <FONT color="green">082</FONT> <a name="line.82"></a> <FONT color="green">083</FONT> /** Number of block rows of the matrix. */<a name="line.83"></a> <FONT color="green">084</FONT> private final int blockRows;<a name="line.84"></a> <FONT color="green">085</FONT> <a name="line.85"></a> <FONT color="green">086</FONT> /** Number of block columns of the matrix. */<a name="line.86"></a> <FONT color="green">087</FONT> private final int blockColumns;<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> * Create a new matrix with the supplied row and column dimensions.<a name="line.90"></a> <FONT color="green">091</FONT> *<a name="line.91"></a> <FONT color="green">092</FONT> * @param field field to which the elements belong<a name="line.92"></a> <FONT color="green">093</FONT> * @param rows the number of rows in the new matrix<a name="line.93"></a> <FONT color="green">094</FONT> * @param columns the number of columns in the new matrix<a name="line.94"></a> <FONT color="green">095</FONT> * @throws IllegalArgumentException if row or column dimension is not<a name="line.95"></a> <FONT color="green">096</FONT> * positive<a name="line.96"></a> <FONT color="green">097</FONT> */<a name="line.97"></a> <FONT color="green">098</FONT> public BlockFieldMatrix(final Field<T> field, final int rows, final int columns)<a name="line.98"></a> <FONT color="green">099</FONT> throws IllegalArgumentException {<a name="line.99"></a> <FONT color="green">100</FONT> <a name="line.100"></a> <FONT color="green">101</FONT> super(field, rows, columns);<a name="line.101"></a> <FONT color="green">102</FONT> this.rows = rows;<a name="line.102"></a> <FONT color="green">103</FONT> this.columns = columns;<a name="line.103"></a> <FONT color="green">104</FONT> <a name="line.104"></a> <FONT color="green">105</FONT> // number of blocks<a name="line.105"></a> <FONT color="green">106</FONT> blockRows = (rows + BLOCK_SIZE - 1) / BLOCK_SIZE;<a name="line.106"></a> <FONT color="green">107</FONT> blockColumns = (columns + BLOCK_SIZE - 1) / BLOCK_SIZE;<a name="line.107"></a> <FONT color="green">108</FONT> <a name="line.108"></a> <FONT color="green">109</FONT> // allocate storage blocks, taking care of smaller ones at right and bottom<a name="line.109"></a> <FONT color="green">110</FONT> blocks = createBlocksLayout(field, rows, columns);<a name="line.110"></a> <FONT color="green">111</FONT> <a name="line.111"></a> <FONT color="green">112</FONT> }<a name="line.112"></a> <FONT color="green">113</FONT> <a name="line.113"></a> <FONT color="green">114</FONT> /**<a name="line.114"></a> <FONT color="green">115</FONT> * Create a new dense matrix copying entries from raw layout data.<a name="line.115"></a> <FONT color="green">116</FONT> * <p>The input array <em>must</em> already be in raw layout.</p><a name="line.116"></a> <FONT color="green">117</FONT> * <p>Calling this constructor is equivalent to call:<a name="line.117"></a> <FONT color="green">118</FONT> * <pre>matrix = new BlockFieldMatrix<T>(getField(), rawData.length, rawData[0].length,<a name="line.118"></a> <FONT color="green">119</FONT> * toBlocksLayout(rawData), false);</pre><a name="line.119"></a> <FONT color="green">120</FONT> * </p><a name="line.120"></a> <FONT color="green">121</FONT> * @param rawData data for new matrix, in raw layout<a name="line.121"></a> <FONT color="green">122</FONT> *<a name="line.122"></a> <FONT color="green">123</FONT> * @exception IllegalArgumentException if <code>blockData</code> shape is<a name="line.123"></a> <FONT color="green">124</FONT> * inconsistent with block layout<a name="line.124"></a> <FONT color="green">125</FONT> * @see #BlockFieldMatrix(int, int, FieldElement[][], boolean)<a name="line.125"></a> <FONT color="green">126</FONT> */<a name="line.126"></a> <FONT color="green">127</FONT> public BlockFieldMatrix(final T[][] rawData)<a name="line.127"></a> <FONT color="green">128</FONT> throws IllegalArgumentException {<a name="line.128"></a> <FONT color="green">129</FONT> this(rawData.length, rawData[0].length, toBlocksLayout(rawData), false);<a name="line.129"></a> <FONT color="green">130</FONT> }<a name="line.130"></a> <FONT color="green">131</FONT> <a name="line.131"></a> <FONT color="green">132</FONT> /**<a name="line.132"></a> <FONT color="green">133</FONT> * Create a new dense matrix copying entries from block layout data.<a name="line.133"></a> <FONT color="green">134</FONT> * <p>The input array <em>must</em> already be in blocks layout.</p><a name="line.134"></a> <FONT color="green">135</FONT> * @param rows the number of rows in the new matrix<a name="line.135"></a> <FONT color="green">136</FONT> * @param columns the number of columns in the new matrix<a name="line.136"></a> <FONT color="green">137</FONT> * @param blockData data for new matrix<a name="line.137"></a> <FONT color="green">138</FONT> * @param copyArray if true, the input array will be copied, otherwise<a name="line.138"></a> <FONT color="green">139</FONT> * it will be referenced<a name="line.139"></a> <FONT color="green">140</FONT> *<a name="line.140"></a> <FONT color="green">141</FONT> * @exception IllegalArgumentException if <code>blockData</code> shape is<a name="line.141"></a> <FONT color="green">142</FONT> * inconsistent with block layout<a name="line.142"></a> <FONT color="green">143</FONT> * @see #createBlocksLayout(Field, int, int)<a name="line.143"></a> <FONT color="green">144</FONT> * @see #toBlocksLayout(FieldElement[][])<a name="line.144"></a> <FONT color="green">145</FONT> * @see #BlockFieldMatrix(FieldElement[][])<a name="line.145"></a> <FONT color="green">146</FONT> */<a name="line.146"></a> <FONT color="green">147</FONT> public BlockFieldMatrix(final int rows, final int columns,<a name="line.147"></a> <FONT color="green">148</FONT> final T[][] blockData, final boolean copyArray)<a name="line.148"></a> <FONT color="green">149</FONT> throws IllegalArgumentException {<a name="line.149"></a> <FONT color="green">150</FONT> <a name="line.150"></a> <FONT color="green">151</FONT> super(extractField(blockData), rows, columns);<a name="line.151"></a> <FONT color="green">152</FONT> this.rows = rows;<a name="line.152"></a> <FONT color="green">153</FONT> this.columns = columns;<a name="line.153"></a> <FONT color="green">154</FONT> <a name="line.154"></a> <FONT color="green">155</FONT> // number of blocks<a name="line.155"></a> <FONT color="green">156</FONT> blockRows = (rows + BLOCK_SIZE - 1) / BLOCK_SIZE;<a name="line.156"></a> <FONT color="green">157</FONT> blockColumns = (columns + BLOCK_SIZE - 1) / BLOCK_SIZE;<a name="line.157"></a> <FONT color="green">158</FONT> <a name="line.158"></a> <FONT color="green">159</FONT> if (copyArray) {<a name="line.159"></a> <FONT color="green">160</FONT> // allocate storage blocks, taking care of smaller ones at right and bottom<a name="line.160"></a> <FONT color="green">161</FONT> blocks = buildArray(getField(), blockRows * blockColumns, -1);<a name="line.161"></a> <FONT color="green">162</FONT> } else {<a name="line.162"></a> <FONT color="green">163</FONT> // reference existing array<a name="line.163"></a> <FONT color="green">164</FONT> blocks = blockData;<a name="line.164"></a> <FONT color="green">165</FONT> }<a name="line.165"></a> <FONT color="green">166</FONT> <a name="line.166"></a> <FONT color="green">167</FONT> int index = 0;<a name="line.167"></a> <FONT color="green">168</FONT> for (int iBlock = 0; iBlock < blockRows; ++iBlock) {<a name="line.168"></a> <FONT color="green">169</FONT> final int iHeight = blockHeight(iBlock);<a name="line.169"></a> <FONT color="green">170</FONT> for (int jBlock = 0; jBlock < blockColumns; ++jBlock, ++index) {<a name="line.170"></a> <FONT color="green">171</FONT> if (blockData[index].length != iHeight * blockWidth(jBlock)) {<a name="line.171"></a> <FONT color="green">172</FONT> throw MathRuntimeException.createIllegalArgumentException(<a name="line.172"></a> <FONT color="green">173</FONT> "wrong array shape (block length = {0}, expected {1})",<a name="line.173"></a> <FONT color="green">174</FONT> blockData[index].length, iHeight * blockWidth(jBlock));<a name="line.174"></a> <FONT color="green">175</FONT> }<a name="line.175"></a> <FONT color="green">176</FONT> if (copyArray) {<a name="line.176"></a> <FONT color="green">177</FONT> blocks[index] = blockData[index].clone();<a name="line.177"></a> <FONT color="green">178</FONT> }<a name="line.178"></a> <FONT color="green">179</FONT> }<a name="line.179"></a> <FONT color="green">180</FONT> }<a name="line.180"></a> <FONT color="green">181</FONT> <a name="line.181"></a> <FONT color="green">182</FONT> }<a name="line.182"></a> <FONT color="green">183</FONT> <a name="line.183"></a> <FONT color="green">184</FONT> /**<a name="line.184"></a> <FONT color="green">185</FONT> * Convert a data array from raw layout to blocks layout.<a name="line.185"></a> <FONT color="green">186</FONT> * <p><a name="line.186"></a> <FONT color="green">187</FONT> * Raw layout is the straightforward layout where element at row i and<a name="line.187"></a> <FONT color="green">188</FONT> * column j is in array element <code>rawData[i][j]</code>. Blocks layout<a name="line.188"></a> <FONT color="green">189</FONT> * is the layout used in {@link BlockFieldMatrix} instances, where the matrix<a name="line.189"></a> <FONT color="green">190</FONT> * is split in square blocks (except at right and bottom side where blocks may<a name="line.190"></a> <FONT color="green">191</FONT> * be rectangular to fit matrix size) and each block is stored in a flattened<a name="line.191"></a> <FONT color="green">192</FONT> * one-dimensional array.<a name="line.192"></a> <FONT color="green">193</FONT> * </p><a name="line.193"></a> <FONT color="green">194</FONT> * <p><a name="line.194"></a> <FONT color="green">195</FONT> * This method creates an array in blocks layout from an input array in raw layout.<a name="line.195"></a> <FONT color="green">196</FONT> * It can be used to provide the array argument of the {@link<a name="line.196"></a> <FONT color="green">197</FONT> * #BlockFieldMatrix(int, int, FieldElement[][], boolean)}<a name="line.197"></a> <FONT color="green">198</FONT> * constructor.<a name="line.198"></a> <FONT color="green">199</FONT> * </p><a name="line.199"></a> <FONT color="green">200</FONT> * @param <T> the type of the field elements<a name="line.200"></a> <FONT color="green">201</FONT> * @param rawData data array in raw layout<a name="line.201"></a> <FONT color="green">202</FONT> * @return a new data array containing the same entries but in blocks layout<a name="line.202"></a> <FONT color="green">203</FONT> * @exception IllegalArgumentException if <code>rawData</code> is not rectangular<a name="line.203"></a> <FONT color="green">204</FONT> * (not all rows have the same length)<a name="line.204"></a> <FONT color="green">205</FONT> * @see #createBlocksLayout(Field, int, int)<a name="line.205"></a> <FONT color="green">206</FONT> * @see #BlockFieldMatrix(int, int, FieldElement[][], boolean)<a name="line.206"></a> <FONT color="green">207</FONT> */<a name="line.207"></a> <FONT color="green">208</FONT> public static <T extends FieldElement<T>> T[][] toBlocksLayout(final T[][] rawData)<a name="line.208"></a> <FONT color="green">209</FONT> throws IllegalArgumentException {<a name="line.209"></a> <FONT color="green">210</FONT> <a name="line.210"></a> <FONT color="green">211</FONT> final int rows = rawData.length;<a name="line.211"></a> <FONT color="green">212</FONT> final int columns = rawData[0].length;<a name="line.212"></a> <FONT color="green">213</FONT> final int blockRows = (rows + BLOCK_SIZE - 1) / BLOCK_SIZE;<a name="line.213"></a> <FONT color="green">214</FONT> final int blockColumns = (columns + BLOCK_SIZE - 1) / BLOCK_SIZE;<a name="line.214"></a> <FONT color="green">215</FONT> <a name="line.215"></a> <FONT color="green">216</FONT> // safety checks<a name="line.216"></a> <FONT color="green">217</FONT> for (int i = 0; i < rawData.length; ++i) {<a name="line.217"></a> <FONT color="green">218</FONT> final int length = rawData[i].length;<a name="line.218"></a> <FONT color="green">219</FONT> if (length != columns) {<a name="line.219"></a> <FONT color="green">220</FONT> throw MathRuntimeException.createIllegalArgumentException(<a name="line.220"></a> <FONT color="green">221</FONT> "some rows have length {0} while others have length {1}",<a name="line.221"></a> <FONT color="green">222</FONT> columns, length);<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> <a name="line.225"></a> <FONT color="green">226</FONT> // convert array<a name="line.226"></a> <FONT color="green">227</FONT> final Field<T> field = extractField(rawData);<a name="line.227"></a> <FONT color="green">228</FONT> final T[][] blocks = buildArray(field, blockRows * blockColumns, -1);<a name="line.228"></a> <FONT color="green">229</FONT> int blockIndex = 0;<a name="line.229"></a> <FONT color="green">230</FONT> for (int iBlock = 0; iBlock < blockRows; ++iBlock) {<a name="line.230"></a> <FONT color="green">231</FONT> final int pStart = iBlock * BLOCK_SIZE;<a name="line.231"></a> <FONT color="green">232</FONT> final int pEnd = Math.min(pStart + BLOCK_SIZE, rows);<a name="line.232"></a> <FONT color="green">233</FONT> final int iHeight = pEnd - pStart;<a name="line.233"></a> <FONT color="green">234</FONT> for (int jBlock = 0; jBlock < blockColumns; ++jBlock) {<a name="line.234"></a> <FONT color="green">235</FONT> final int qStart = jBlock * BLOCK_SIZE;<a name="line.235"></a> <FONT color="green">236</FONT> final int qEnd = Math.min(qStart + BLOCK_SIZE, columns);<a name="line.236"></a> <FONT color="green">237</FONT> final int jWidth = qEnd - qStart;<a name="line.237"></a> <FONT color="green">238</FONT> <a name="line.238"></a> <FONT color="green">239</FONT> // allocate new block<a name="line.239"></a> <FONT color="green">240</FONT> final T[] block = buildArray(field, iHeight * jWidth);<a name="line.240"></a> <FONT color="green">241</FONT> blocks[blockIndex] = block;<a name="line.241"></a> <FONT color="green">242</FONT> <a name="line.242"></a> <FONT color="green">243</FONT> // copy data<a name="line.243"></a> <FONT color="green">244</FONT> int index = 0;<a name="line.244"></a> <FONT color="green">245</FONT> for (int p = pStart; p < pEnd; ++p) {<a name="line.245"></a> <FONT color="green">246</FONT> System.arraycopy(rawData[p], qStart, block, index, jWidth);<a name="line.246"></a> <FONT color="green">247</FONT> index += jWidth;<a name="line.247"></a> <FONT color="green">248</FONT> }<a name="line.248"></a> <FONT color="green">249</FONT> <a name="line.249"></a> <FONT color="green">250</FONT> ++blockIndex;<a name="line.250"></a> <FONT color="green">251</FONT> <a name="line.251"></a> <FONT color="green">252</FONT> }<a name="line.252"></a> <FONT color="green">253</FONT> }<a name="line.253"></a> <FONT color="green">254</FONT> <a name="line.254"></a> <FONT color="green">255</FONT> return blocks;<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> <a name="line.258"></a> <FONT color="green">259</FONT> /**<a name="line.259"></a> <FONT color="green">260</FONT> * Create a data array in blocks layout.<a name="line.260"></a> <FONT color="green">261</FONT> * <p><a name="line.261"></a> <FONT color="green">262</FONT> * This method can be used to create the array argument of the {@link<a name="line.262"></a> <FONT color="green">263</FONT> * #BlockFieldMatrix(int, int, FieldElement[][], boolean)}<a name="line.263"></a> <FONT color="green">264</FONT> * constructor.<a name="line.264"></a> <FONT color="green">265</FONT> * </p><a name="line.265"></a> <FONT color="green">266</FONT> * @param <T> the type of the field elements<a name="line.266"></a> <FONT color="green">267</FONT> * @param field field to which the elements belong<a name="line.267"></a> <FONT color="green">268</FONT> * @param rows the number of rows in the new matrix<a name="line.268"></a> <FONT color="green">269</FONT> * @param columns the number of columns in the new matrix<a name="line.269"></a> <FONT color="green">270</FONT> * @return a new data array in blocks layout<a name="line.270"></a> <FONT color="green">271</FONT> * @see #toBlocksLayout(FieldElement[][])<a name="line.271"></a> <FONT color="green">272</FONT> * @see #BlockFieldMatrix(int, int, FieldElement[][], boolean)<a name="line.272"></a> <FONT color="green">273</FONT> */<a name="line.273"></a> <FONT color="green">274</FONT> public static <T extends FieldElement<T>> T[][] createBlocksLayout(final Field<T> field,<a name="line.274"></a> <FONT color="green">275</FONT> final int rows, final int columns) {<a name="line.275"></a> <FONT color="green">276</FONT> <a name="line.276"></a> <FONT color="green">277</FONT> final int blockRows = (rows + BLOCK_SIZE - 1) / BLOCK_SIZE;<a name="line.277"></a> <FONT color="green">278</FONT> final int blockColumns = (columns + BLOCK_SIZE - 1) / BLOCK_SIZE;<a name="line.278"></a> <FONT color="green">279</FONT> <a name="line.279"></a> <FONT color="green">280</FONT> final T[][] blocks = buildArray(field, blockRows * blockColumns, -1);<a name="line.280"></a> <FONT color="green">281</FONT> int blockIndex = 0;<a name="line.281"></a> <FONT color="green">282</FONT> for (int iBlock = 0; iBlock < blockRows; ++iBlock) {<a name="line.282"></a> <FONT color="green">283</FONT> final int pStart = iBlock * BLOCK_SIZE;<a name="line.283"></a> <FONT color="green">284</FONT> final int pEnd = Math.min(pStart + BLOCK_SIZE, rows);<a name="line.284"></a> <FONT color="green">285</FONT> final int iHeight = pEnd - pStart;<a name="line.285"></a> <FONT color="green">286</FONT> for (int jBlock = 0; jBlock < blockColumns; ++jBlock) {<a name="line.286"></a> <FONT color="green">287</FONT> final int qStart = jBlock * BLOCK_SIZE;<a name="line.287"></a> <FONT color="green">288</FONT> final int qEnd = Math.min(qStart + BLOCK_SIZE, columns);<a name="line.288"></a> <FONT color="green">289</FONT> final int jWidth = qEnd - qStart;<a name="line.289"></a> <FONT color="green">290</FONT> blocks[blockIndex] = buildArray(field, iHeight * jWidth);<a name="line.290"></a> <FONT color="green">291</FONT> ++blockIndex;<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> return blocks;<a name="line.295"></a> <FONT color="green">296</FONT> <a name="line.296"></a> <FONT color="green">297</FONT> }<a name="line.297"></a> <FONT color="green">298</FONT> <a name="line.298"></a> <FONT color="green">299</FONT> /** {@inheritDoc} */<a name="line.299"></a> <FONT color="green">300</FONT> @Override<a name="line.300"></a> <FONT color="green">301</FONT> public FieldMatrix<T> createMatrix(final int rowDimension, final int columnDimension)<a name="line.301"></a> <FONT color="green">302</FONT> throws IllegalArgumentException {<a name="line.302"></a> <FONT color="green">303</FONT> return new BlockFieldMatrix<T>(getField(), rowDimension, columnDimension);<a name="line.303"></a> <FONT color="green">304</FONT> }<a name="line.304"></a> <FONT color="green">305</FONT> <a name="line.305"></a> <FONT color="green">306</FONT> /** {@inheritDoc} */<a name="line.306"></a> <FONT color="green">307</FONT> @Override<a name="line.307"></a> <FONT color="green">308</FONT> public FieldMatrix<T> copy() {<a name="line.308"></a> <FONT color="green">309</FONT> <a name="line.309"></a> <FONT color="green">310</FONT> // create an empty matrix<a name="line.310"></a> <FONT color="green">311</FONT> BlockFieldMatrix<T> copied = new BlockFieldMatrix<T>(getField(), rows, columns);<a name="line.311"></a> <FONT color="green">312</FONT> <a name="line.312"></a> <FONT color="green">313</FONT> // copy the blocks<a name="line.313"></a> <FONT color="green">314</FONT> for (int i = 0; i < blocks.length; ++i) {<a name="line.314"></a> <FONT color="green">315</FONT> System.arraycopy(blocks[i], 0, copied.blocks[i], 0, blocks[i].length);<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 copied;<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> /** {@inheritDoc} */<a name="line.322"></a> <FONT color="green">323</FONT> @Override<a name="line.323"></a> <FONT color="green">324</FONT> public FieldMatrix<T> add(final FieldMatrix<T> m)<a name="line.324"></a> <FONT color="green">325</FONT> throws IllegalArgumentException {<a name="line.325"></a> <FONT color="green">326</FONT> try {<a name="line.326"></a> <FONT color="green">327</FONT> return add((BlockFieldMatrix<T>) m);<a name="line.327"></a> <FONT color="green">328</FONT> } catch (ClassCastException cce) {<a name="line.328"></a> <FONT color="green">329</FONT> <a name="line.329"></a> <FONT color="green">330</FONT> // safety check<a name="line.330"></a> <FONT color="green">331</FONT> checkAdditionCompatible(m);<a name="line.331"></a> <FONT color="green">332</FONT> <a name="line.332"></a> <FONT color="green">333</FONT> final BlockFieldMatrix<T> out = new BlockFieldMatrix<T>(getField(), rows, columns);<a name="line.333"></a> <FONT color="green">334</FONT> <a name="line.334"></a> <FONT color="green">335</FONT> // perform addition block-wise, to ensure good cache behavior<a name="line.335"></a> <FONT color="green">336</FONT> int blockIndex = 0;<a name="line.336"></a> <FONT color="green">337</FONT> for (int iBlock = 0; iBlock < out.blockRows; ++iBlock) {<a name="line.337"></a> <FONT color="green">338</FONT> for (int jBlock = 0; jBlock < out.blockColumns; ++jBlock) {<a name="line.338"></a> <FONT color="green">339</FONT> <a name="line.339"></a> <FONT color="green">340</FONT> // perform addition on the current block<a name="line.340"></a> <FONT color="green">341</FONT> final T[] outBlock = out.blocks[blockIndex];<a name="line.341"></a> <FONT color="green">342</FONT> final T[] tBlock = blocks[blockIndex];<a name="line.342"></a> <FONT color="green">343</FONT> final int pStart = iBlock * BLOCK_SIZE;<a name="line.343"></a> <FONT color="green">344</FONT> final int pEnd = Math.min(pStart + BLOCK_SIZE, rows);<a name="line.344"></a> <FONT color="green">345</FONT> final int qStart = jBlock * BLOCK_SIZE;<a name="line.345"></a> <FONT color="green">346</FONT> final int qEnd = Math.min(qStart + BLOCK_SIZE, columns);<a name="line.346"></a> <FONT color="green">347</FONT> int k = 0;<a name="line.347"></a> <FONT color="green">348</FONT> for (int p = pStart; p < pEnd; ++p) {<a name="line.348"></a> <FONT color="green">349</FONT> for (int q = qStart; q < qEnd; ++q) {<a name="line.349"></a> <FONT color="green">350</FONT> outBlock[k] = tBlock[k].add(m.getEntry(p, q));<a name="line.350"></a> <FONT color="green">351</FONT> ++k;<a name="line.351"></a> <FONT color="green">352</FONT> }<a name="line.352"></a> <FONT color="green">353</FONT> }<a name="line.353"></a> <FONT color="green">354</FONT> <a name="line.354"></a> <FONT color="green">355</FONT> // go to next block<a name="line.355"></a> <FONT color="green">356</FONT> ++blockIndex;<a name="line.356"></a> <FONT color="green">357</FONT> <a name="line.357"></a> <FONT color="green">358</FONT> }<a name="line.358"></a> <FONT color="green">359</FONT> }<a name="line.359"></a> <FONT color="green">360</FONT> <a name="line.360"></a> <FONT color="green">361</FONT> return out;<a name="line.361"></a> <FONT color="green">362</FONT> <a name="line.362"></a> <FONT color="green">363</FONT> }<a name="line.363"></a> <FONT color="green">364</FONT> }<a name="line.364"></a> <FONT color="green">365</FONT> <a name="line.365"></a> <FONT color="green">366</FONT> /**<a name="line.366"></a> <FONT color="green">367</FONT> * Compute the sum of this and <code>m</code>.<a name="line.367"></a> <FONT color="green">368</FONT> *<a name="line.368"></a> <FONT color="green">369</FONT> * @param m matrix to be added<a name="line.369"></a> <FONT color="green">370</FONT> * @return this + m<a name="line.370"></a> <FONT color="green">371</FONT> * @throws IllegalArgumentException if m is not the same size as this<a name="line.371"></a> <FONT color="green">372</FONT> */<a name="line.372"></a> <FONT color="green">373</FONT> public BlockFieldMatrix<T> add(final BlockFieldMatrix<T> m)<a name="line.373"></a> <FONT color="green">374</FONT> throws IllegalArgumentException {<a name="line.374"></a> <FONT color="green">375</FONT> <a name="line.375"></a> <FONT color="green">376</FONT> // safety check<a name="line.376"></a> <FONT color="green">377</FONT> checkAdditionCompatible(m);<a name="line.377"></a> <FONT color="green">378</FONT> <a name="line.378"></a> <FONT color="green">379</FONT> final BlockFieldMatrix<T> out = new BlockFieldMatrix<T>(getField(), rows, columns);<a name="line.379"></a> <FONT color="green">380</FONT> <a name="line.380"></a> <FONT color="green">381</FONT> // perform addition block-wise, to ensure good cache behavior<a name="line.381"></a> <FONT color="green">382</FONT> for (int blockIndex = 0; blockIndex < out.blocks.length; ++blockIndex) {<a name="line.382"></a> <FONT color="green">383</FONT> final T[] outBlock = out.blocks[blockIndex];<a name="line.383"></a> <FONT color="green">384</FONT> final T[] tBlock = blocks[blockIndex];<a name="line.384"></a> <FONT color="green">385</FONT> final T[] mBlock = m.blocks[blockIndex];<a name="line.385"></a> <FONT color="green">386</FONT> for (int k = 0; k < outBlock.length; ++k) {<a name="line.386"></a> <FONT color="green">387</FONT> outBlock[k] = tBlock[k].add(mBlock[k]);<a name="line.387"></a> <FONT color="green">388</FONT> }<a name="line.388"></a> <FONT color="green">389</FONT> }<a name="line.389"></a> <FONT color="green">390</FONT> <a name="line.390"></a> <FONT color="green">391</FONT> return out;<a name="line.391"></a> <FONT color="green">392</FONT> <a name="line.392"></a> <FONT color="green">393</FONT> }<a name="line.393"></a> <FONT color="green">394</FONT> <a name="line.394"></a> <FONT color="green">395</FONT> /** {@inheritDoc} */<a name="line.395"></a> <FONT color="green">396</FONT> @Override<a name="line.396"></a> <FONT color="green">397</FONT> public FieldMatrix<T> subtract(final FieldMatrix<T> m)<a name="line.397"></a> <FONT color="green">398</FONT> throws IllegalArgumentException {<a name="line.398"></a> <FONT color="green">399</FONT> try {<a name="line.399"></a> <FONT color="green">400</FONT> return subtract((BlockFieldMatrix<T>) m);<a name="line.400"></a> <FONT color="green">401</FONT> } catch (ClassCastException cce) {<a name="line.401"></a> <FONT color="green">402</FONT> <a name="line.402"></a> <FONT color="green">403</FONT> // safety check<a name="line.403"></a> <FONT color="green">404</FONT> checkSubtractionCompatible(m);<a name="line.404"></a> <FONT color="green">405</FONT> <a name="line.405"></a> <FONT color="green">406</FONT> final BlockFieldMatrix<T> out = new BlockFieldMatrix<T>(getField(), rows, columns);<a name="line.406"></a> <FONT color="green">407</FONT> <a name="line.407"></a> <FONT color="green">408</FONT> // perform subtraction block-wise, to ensure good cache behavior<a name="line.408"></a> <FONT color="green">409</FONT> int blockIndex = 0;<a name="line.409"></a> <FONT color="green">410</FONT> for (int iBlock = 0; iBlock < out.blockRows; ++iBlock) {<a name="line.410"></a> <FONT color="green">411</FONT> for (int jBlock = 0; jBlock < out.blockColumns; ++jBlock) {<a name="line.411"></a> <FONT color="green">412</FONT> <a name="line.412"></a> <FONT color="green">413</FONT> // perform subtraction on the current block<a name="line.413"></a> <FONT color="green">414</FONT> final T[] outBlock = out.blocks[blockIndex];<a name="line.414"></a> <FONT color="green">415</FONT> final T[] tBlock = blocks[blockIndex];<a name="line.415"></a> <FONT color="green">416</FONT> final int pStart = iBlock * BLOCK_SIZE;<a name="line.416"></a> <FONT color="green">417</FONT> final int pEnd = Math.min(pStart + BLOCK_SIZE, rows);<a name="line.417"></a> <FONT color="green">418</FONT> final int qStart = jBlock * BLOCK_SIZE;<a name="line.418"></a> <FONT color="green">419</FONT> final int qEnd = Math.min(qStart + BLOCK_SIZE, columns);<a name="line.419"></a> <FONT color="green">420</FONT> int k = 0;<a name="line.420"></a> <FONT color="green">421</FONT> for (int p = pStart; p < pEnd; ++p) {<a name="line.421"></a> <FONT color="green">422</FONT> for (int q = qStart; q < qEnd; ++q) {<a name="line.422"></a> <FONT color="green">423</FONT> outBlock[k] = tBlock[k].subtract(m.getEntry(p, q));<a name="line.423"></a> <FONT color="green">424</FONT> ++k;<a name="line.424"></a> <FONT color="green">425</FONT> }<a name="line.425"></a> <FONT color="green">426</FONT> }<a name="line.426"></a> <FONT color="green">427</FONT> <a name="line.427"></a> <FONT color="green">428</FONT> // go to next block<a name="line.428"></a> <FONT color="green">429</FONT> ++blockIndex;<a name="line.429"></a> <FONT color="green">430</FONT> <a name="line.430"></a> <FONT color="green">431</FONT> }<a name="line.431"></a> <FONT color="green">432</FONT> }<a name="line.432"></a> <FONT color="green">433</FONT> <a name="line.433"></a> <FONT color="green">434</FONT> return out;<a name="line.434"></a> <FONT color="green">435</FONT> <a name="line.435"></a> <FONT color="green">436</FONT> }<a name="line.436"></a> <FONT color="green">437</FONT> }<a name="line.437"></a> <FONT color="green">438</FONT> <a name="line.438"></a> <FONT color="green">439</FONT> /**<a name="line.439"></a> <FONT color="green">440</FONT> * Compute this minus <code>m</code>.<a name="line.440"></a> <FONT color="green">441</FONT> *<a name="line.441"></a> <FONT color="green">442</FONT> * @param m matrix to be subtracted<a name="line.442"></a> <FONT color="green">443</FONT> * @return this - m<a name="line.443"></a> <FONT color="green">444</FONT> * @throws IllegalArgumentException if m is not the same size as this<a name="line.444"></a> <FONT color="green">445</FONT> */<a name="line.445"></a> <FONT color="green">446</FONT> public BlockFieldMatrix<T> subtract(final BlockFieldMatrix<T> m)<a name="line.446"></a> <FONT color="green">447</FONT> throws IllegalArgumentException {<a name="line.447"></a> <FONT color="green">448</FONT> <a name="line.448"></a> <FONT color="green">449</FONT> // safety check<a name="line.449"></a> <FONT color="green">450</FONT> checkSubtractionCompatible(m);<a name="line.450"></a> <FONT color="green">451</FONT> <a name="line.451"></a> <FONT color="green">452</FONT> final BlockFieldMatrix<T> out = new BlockFieldMatrix<T>(getField(), rows, columns);<a name="line.452"></a> <FONT color="green">453</FONT> <a name="line.453"></a> <FONT color="green">454</FONT> // perform subtraction block-wise, to ensure good cache behavior<a name="line.454"></a> <FONT color="green">455</FONT> for (int blockIndex = 0; blockIndex < out.blocks.length; ++blockIndex) {<a name="line.455"></a> <FONT color="green">456</FONT> final T[] outBlock = out.blocks[blockIndex];<a name="line.456"></a> <FONT color="green">457</FONT> final T[] tBlock = blocks[blockIndex];<a name="line.457"></a> <FONT color="green">458</FONT> final T[] mBlock = m.blocks[blockIndex];<a name="line.458"></a> <FONT color="green">459</FONT> for (int k = 0; k < outBlock.length; ++k) {<a name="line.459"></a> <FONT color="green">460</FONT> outBlock[k] = tBlock[k].subtract(mBlock[k]);<a name="line.460"></a> <FONT color="green">461</FONT> }<a name="line.461"></a> <FONT color="green">462</FONT> }<a name="line.462"></a> <FONT color="green">463</FONT> <a name="line.463"></a> <FONT color="green">464</FONT> return out;<a name="line.464"></a> <FONT color="green">465</FONT> <a name="line.465"></a> <FONT color="green">466</FONT> }<a name="line.466"></a> <FONT color="green">467</FONT> <a name="line.467"></a> <FONT color="green">468</FONT> /** {@inheritDoc} */<a name="line.468"></a> <FONT color="green">469</FONT> @Override<a name="line.469"></a> <FONT color="green">470</FONT> public FieldMatrix<T> scalarAdd(final T d)<a name="line.470"></a> <FONT color="green">471</FONT> throws IllegalArgumentException {<a name="line.471"></a> <FONT color="green">472</FONT> <a name="line.472"></a> <FONT color="green">473</FONT> final BlockFieldMatrix<T> out = new BlockFieldMatrix<T>(getField(), rows, columns);<a name="line.473"></a> <FONT color="green">474</FONT> <a name="line.474"></a> <FONT color="green">475</FONT> // perform subtraction block-wise, to ensure good cache behavior<a name="line.475"></a> <FONT color="green">476</FONT> for (int blockIndex = 0; blockIndex < out.blocks.length; ++blockIndex) {<a name="line.476"></a> <FONT color="green">477</FONT> final T[] outBlock = out.blocks[blockIndex];<a name="line.477"></a> <FONT color="green">478</FONT> final T[] tBlock = blocks[blockIndex];<a name="line.478"></a> <FONT color="green">479</FONT> for (int k = 0; k < outBlock.length; ++k) {<a name="line.479"></a> <FONT color="green">480</FONT> outBlock[k] = tBlock[k].add(d);<a name="line.480"></a> <FONT color="green">481</FONT> }<a name="line.481"></a> <FONT color="green">482</FONT> }<a name="line.482"></a> <FONT color="green">483</FONT> <a name="line.483"></a> <FONT color="green">484</FONT> return out;<a name="line.484"></a> <FONT color="green">485</FONT> <a name="line.485"></a> <FONT color="green">486</FONT> }<a name="line.486"></a> <FONT color="green">487</FONT> <a name="line.487"></a> <FONT color="green">488</FONT> /** {@inheritDoc} */<a name="line.488"></a> <FONT color="green">489</FONT> @Override<a name="line.489"></a> <FONT color="green">490</FONT> public FieldMatrix<T> scalarMultiply(final T d)<a name="line.490"></a> <FONT color="green">491</FONT> throws IllegalArgumentException {<a name="line.491"></a> <FONT color="green">492</FONT> <a name="line.492"></a> <FONT color="green">493</FONT> final BlockFieldMatrix<T> out = new BlockFieldMatrix<T>(getField(), rows, columns);<a name="line.493"></a> <FONT color="green">494</FONT> <a name="line.494"></a> <FONT color="green">495</FONT> // perform subtraction block-wise, to ensure good cache behavior<a name="line.495"></a> <FONT color="green">496</FONT> for (int blockIndex = 0; blockIndex < out.blocks.length; ++blockIndex) {<a name="line.496"></a> <FONT color="green">497</FONT> final T[] outBlock = out.blocks[blockIndex];<a name="line.497"></a> <FONT color="green">498</FONT> final T[] tBlock = blocks[blockIndex];<a name="line.498"></a> <FONT color="green">499</FONT> for (int k = 0; k < outBlock.length; ++k) {<a name="line.499"></a> <FONT color="green">500</FONT> outBlock[k] = tBlock[k].multiply(d);<a name="line.500"></a> <FONT color="green">501</FONT> }<a name="line.501"></a> <FONT color="green">502</FONT> }<a name="line.502"></a> <FONT color="green">503</FONT> <a name="line.503"></a> <FONT color="green">504</FONT> return out;<a name="line.504"></a> <FONT color="green">505</FONT> <a name="line.505"></a> <FONT color="green">506</FONT> }<a name="line.506"></a> <FONT color="green">507</FONT> <a name="line.507"></a> <FONT color="green">508</FONT> /** {@inheritDoc} */<a name="line.508"></a> <FONT color="green">509</FONT> @Override<a name="line.509"></a> <FONT color="green">510</FONT> public FieldMatrix<T> multiply(final FieldMatrix<T> m)<a name="line.510"></a> <FONT color="green">511</FONT> throws IllegalArgumentException {<a name="line.511"></a> <FONT color="green">512</FONT> try {<a name="line.512"></a> <FONT color="green">513</FONT> return multiply((BlockFieldMatrix<T>) m);<a name="line.513"></a> <FONT color="green">514</FONT> } catch (ClassCastException cce) {<a name="line.514"></a> <FONT color="green">515</FONT> <a name="line.515"></a> <FONT color="green">516</FONT> // safety check<a name="line.516"></a> <FONT color="green">517</FONT> checkMultiplicationCompatible(m);<a name="line.517"></a> <FONT color="green">518</FONT> <a name="line.518"></a> <FONT color="green">519</FONT> final BlockFieldMatrix<T> out = new BlockFieldMatrix<T>(getField(), rows, m.getColumnDimension());<a name="line.519"></a> <FONT color="green">520</FONT> final T zero = getField().getZero();<a name="line.520"></a> <FONT color="green">521</FONT> <a name="line.521"></a> <FONT color="green">522</FONT> // perform multiplication block-wise, to ensure good cache behavior<a name="line.522"></a> <FONT color="green">523</FONT> int blockIndex = 0;<a name="line.523"></a> <FONT color="green">524</FONT> for (int iBlock = 0; iBlock < out.blockRows; ++iBlock) {<a name="line.524"></a> <FONT color="green">525</FONT> <a name="line.525"></a> <FONT color="green">526</FONT> final int pStart = iBlock * BLOCK_SIZE;<a name="line.526"></a> <FONT color="green">527</FONT> final int pEnd = Math.min(pStart + BLOCK_SIZE, rows);<a name="line.527"></a> <FONT color="green">528</FONT> <a name="line.528"></a> <FONT color="green">529</FONT> for (int jBlock = 0; jBlock < out.blockColumns; ++jBlock) {<a name="line.529"></a> <FONT color="green">530</FONT> <a name="line.530"></a> <FONT color="green">531</FONT> final int qStart = jBlock * BLOCK_SIZE;<a name="line.531"></a> <FONT color="green">532</FONT> final int qEnd = Math.min(qStart + BLOCK_SIZE, m.getColumnDimension());<a name="line.532"></a> <FONT color="green">533</FONT> <a name="line.533"></a> <FONT color="green">534</FONT> // select current block<a name="line.534"></a> <FONT color="green">535</FONT> final T[] outBlock = out.blocks[blockIndex];<a name="line.535"></a> <FONT color="green">536</FONT> <a name="line.536"></a> <FONT color="green">537</FONT> // perform multiplication on current block<a name="line.537"></a> <FONT color="green">538</FONT> for (int kBlock = 0; kBlock < blockColumns; ++kBlock) {<a name="line.538"></a> <FONT color="green">539</FONT> final int kWidth = blockWidth(kBlock);<a name="line.539"></a> <FONT color="green">540</FONT> final T[] tBlock = blocks[iBlock * blockColumns + kBlock];<a name="line.540"></a> <FONT color="green">541</FONT> final int rStart = kBlock * BLOCK_SIZE;<a name="line.541"></a> <FONT color="green">542</FONT> int k = 0;<a name="line.542"></a> <FONT color="green">543</FONT> for (int p = pStart; p < pEnd; ++p) {<a name="line.543"></a> <FONT color="green">544</FONT> final int lStart = (p - pStart) * kWidth;<a name="line.544"></a> <FONT color="green">545</FONT> final int lEnd = lStart + kWidth;<a name="line.545"></a> <FONT color="green">546</FONT> for (int q = qStart; q < qEnd; ++q) {<a name="line.546"></a> <FONT color="green">547</FONT> T sum = zero;<a name="line.547"></a> <FONT color="green">548</FONT> int r = rStart;<a name="line.548"></a> <FONT color="green">549</FONT> for (int l = lStart; l < lEnd; ++l) {<a name="line.549"></a> <FONT color="green">550</FONT> sum = sum.add(tBlock[l].multiply(m.getEntry(r, q)));<a name="line.550"></a> <FONT color="green">551</FONT> ++r;<a name="line.551"></a> <FONT color="green">552</FONT> }<a name="line.552"></a> <FONT color="green">553</FONT> outBlock[k] = outBlock[k].add(sum);<a name="line.553"></a> <FONT color="green">554</FONT> ++k;<a name="line.554"></a> <FONT color="green">555</FONT> }<a name="line.555"></a> <FONT color="green">556</FONT> }<a name="line.556"></a> <FONT color="green">557</FONT> }<a name="line.557"></a> <FONT color="green">558</FONT> <a name="line.558"></a> <FONT color="green">559</FONT> // go to next block<a name="line.559"></a> <FONT color="green">560</FONT> ++blockIndex;<a name="line.560"></a> <FONT color="green">561</FONT> <a name="line.561"></a> <FONT color="green">562</FONT> }<a name="line.562"></a> <FONT color="green">563</FONT> }<a name="line.563"></a> <FONT color="green">564</FONT> <a name="line.564"></a> <FONT color="green">565</FONT> return out;<a name="line.565"></a> <FONT color="green">566</FONT> <a name="line.566"></a> <FONT color="green">567</FONT> }<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 result of postmultiplying this by m.<a name="line.571"></a> <FONT color="green">572</FONT> *<a name="line.572"></a> <FONT color="green">573</FONT> * @param m matrix to postmultiply by<a name="line.573"></a> <FONT color="green">574</FONT> * @return this * m<a name="line.574"></a> <FONT color="green">575</FONT> * @throws IllegalArgumentException<a name="line.575"></a> <FONT color="green">576</FONT> * if columnDimension(this) != rowDimension(m)<a name="line.576"></a> <FONT color="green">577</FONT> */<a name="line.577"></a> <FONT color="green">578</FONT> public BlockFieldMatrix<T> multiply(BlockFieldMatrix<T> m) throws IllegalArgumentException {<a name="line.578"></a> <FONT color="green">579</FONT> <a name="line.579"></a> <FONT color="green">580</FONT> // safety check<a name="line.580"></a> <FONT color="green">581</FONT> checkMultiplicationCompatible(m);<a name="line.581"></a> <FONT color="green">582</FONT> <a name="line.582"></a> <FONT color="green">583</FONT> final BlockFieldMatrix<T> out = new BlockFieldMatrix<T>(getField(), rows, m.columns);<a name="line.583"></a> <FONT color="green">584</FONT> final T zero = getField().getZero();<a name="line.584"></a> <FONT color="green">585</FONT> <a name="line.585"></a> <FONT color="green">586</FONT> // perform multiplication block-wise, to ensure good cache behavior<a name="line.586"></a> <FONT color="green">587</FONT> int blockIndex = 0;<a name="line.587"></a> <FONT color="green">588</FONT> for (int iBlock = 0; iBlock < out.blockRows; ++iBlock) {<a name="line.588"></a> <FONT color="green">589</FONT> <a name="line.589"></a> <FONT color="green">590</FONT> final int pStart = iBlock * BLOCK_SIZE;<a name="line.590"></a> <FONT color="green">591</FONT> final int pEnd = Math.min(pStart + BLOCK_SIZE, rows);<a name="line.591"></a> <FONT color="green">592</FONT> <a name="line.592"></a> <FONT color="green">593</FONT> for (int jBlock = 0; jBlock < out.blockColumns; ++jBlock) {<a name="line.593"></a> <FONT color="green">594</FONT> final int jWidth = out.blockWidth(jBlock);<a name="line.594"></a> <FONT color="green">595</FONT> final int jWidth2 = jWidth + jWidth;<a name="line.595"></a> <FONT color="green">596</FONT> final int jWidth3 = jWidth2 + jWidth;<a name="line.596"></a> <FONT color="green">597</FONT> final int jWidth4 = jWidth3 + jWidth;<a name="line.597"></a> <FONT color="green">598</FONT> <a name="line.598"></a> <FONT color="green">599</FONT> // select current block<a name="line.599"></a> <FONT color="green">600</FONT> final T[] outBlock = out.blocks[blockIndex];<a name="line.600"></a> <FONT color="green">601</FONT> <a name="line.601"></a> <FONT color="green">602</FONT> // perform multiplication on current block<a name="line.602"></a> <FONT color="green">603</FONT> for (int kBlock = 0; kBlock < blockColumns; ++kBlock) {<a name="line.603"></a> <FONT color="green">604</FONT> final int kWidth = blockWidth(kBlock);<a name="line.604"></a> <FONT color="green">605</FONT> final T[] tBlock = blocks[iBlock * blockColumns + kBlock];<a name="line.605"></a> <FONT color="green">606</FONT> final T[] mBlock = m.blocks[kBlock * m.blockColumns + jBlock];<a name="line.606"></a> <FONT color="green">607</FONT> int k = 0;<a name="line.607"></a> <FONT color="green">608</FONT> for (int p = pStart; p < pEnd; ++p) {<a name="line.608"></a> <FONT color="green">609</FONT> final int lStart = (p - pStart) * kWidth;<a name="line.609"></a> <FONT color="green">610</FONT> final int lEnd = lStart + kWidth;<a name="line.610"></a> <FONT color="green">611</FONT> for (int nStart = 0; nStart < jWidth; ++nStart) {<a name="line.611"></a> <FONT color="green">612</FONT> T sum = zero;<a name="line.612"></a> <FONT color="green">613</FONT> int l = lStart;<a name="line.613"></a> <FONT color="green">614</FONT> int n = nStart;<a name="line.614"></a> <FONT color="green">615</FONT> while (l < lEnd - 3) {<a name="line.615"></a> <FONT color="green">616</FONT> sum = sum.<a name="line.616"></a> <FONT color="green">617</FONT> add(tBlock[l].multiply(mBlock[n])).<a name="line.617"></a> <FONT color="green">618</FONT> add(tBlock[l + 1].multiply(mBlock[n + jWidth])).<a name="line.618"></a> <FONT color="green">619</FONT> add(tBlock[l + 2].multiply(mBlock[n + jWidth2])).<a name="line.619"></a> <FONT color="green">620</FONT> add(tBlock[l + 3].multiply(mBlock[n + jWidth3]));<a name="line.620"></a> <FONT color="green">621</FONT> l += 4;<a name="line.621"></a> <FONT color="green">622</FONT> n += jWidth4;<a name="line.622"></a> <FONT color="green">623</FONT> }<a name="line.623"></a> <FONT color="green">624</FONT> while (l < lEnd) {<a name="line.624"></a> <FONT color="green">625</FONT> sum = sum.add(tBlock[l++].multiply(mBlock[n]));<a name="line.625"></a> <FONT color="green">626</FONT> n += jWidth;<a name="line.626"></a> <FONT color="green">627</FONT> }<a name="line.627"></a> <FONT color="green">628</FONT> outBlock[k] = outBlock[k].add(sum);<a name="line.628"></a> <FONT color="green">629</FONT> ++k;<a name="line.629"></a> <FONT color="green">630</FONT> }<a name="line.630"></a> <FONT color="green">631</FONT> }<a name="line.631"></a> <FONT color="green">632</FONT> }<a name="line.632"></a> <FONT color="green">633</FONT> <a name="line.633"></a> <FONT color="green">634</FONT> // go to next block<a name="line.634"></a> <FONT color="green">635</FONT> ++blockIndex;<a name="line.635"></a> <FONT color="green">636</FONT> <a name="line.636"></a> <FONT color="green">637</FONT> }<a name="line.637"></a> <FONT color="green">638</FONT> }<a name="line.638"></a> <FONT color="green">639</FONT> <a name="line.639"></a> <FONT color="green">640</FONT> return out;<a name="line.640"></a> <FONT color="green">641</FONT> <a name="line.641"></a> <FONT color="green">642</FONT> }<a name="line.642"></a> <FONT color="green">643</FONT> <a name="line.643"></a> <FONT color="green">644</FONT> /** {@inheritDoc} */<a name="line.644"></a> <FONT color="green">645</FONT> @Override<a name="line.645"></a> <FONT color="green">646</FONT> public T[][] getData() {<a name="line.646"></a> <FONT color="green">647</FONT> <a name="line.647"></a> <FONT color="green">648</FONT> final T[][] data = buildArray(getField(), getRowDimension(), getColumnDimension());<a name="line.648"></a> <FONT color="green">649</FONT> final int lastColumns = columns - (blockColumns - 1) * BLOCK_SIZE;<a name="line.649"></a> <FONT color="green">650</FONT> <a name="line.650"></a> <FONT color="green">651</FONT> for (int iBlock = 0; iBlock < blockRows; ++iBlock) {<a name="line.651"></a> <FONT color="green">652</FONT> final int pStart = iBlock * BLOCK_SIZE;<a name="line.652"></a> <FONT color="green">653</FONT> final int pEnd = Math.min(pStart + BLOCK_SIZE, rows);<a name="line.653"></a> <FONT color="green">654</FONT> int regularPos = 0;<a name="line.654"></a> <FONT color="green">655</FONT> int lastPos = 0;<a name="line.655"></a> <FONT color="green">656</FONT> for (int p = pStart; p < pEnd; ++p) {<a name="line.656"></a> <FONT color="green">657</FONT> final T[] dataP = data[p];<a name="line.657"></a> <FONT color="green">658</FONT> int blockIndex = iBlock * blockColumns;<a name="line.658"></a> <FONT color="green">659</FONT> int dataPos = 0;<a name="line.659"></a> <FONT color="green">660</FONT> for (int jBlock = 0; jBlock < blockColumns - 1; ++jBlock) {<a name="line.660"></a> <FONT color="green">661</FONT> System.arraycopy(blocks[blockIndex++], regularPos, dataP, dataPos, BLOCK_SIZE);<a name="line.661"></a> <FONT color="green">662</FONT> dataPos += BLOCK_SIZE;<a name="line.662"></a> <FONT color="green">663</FONT> }<a name="line.663"></a> <FONT color="green">664</FONT> System.arraycopy(blocks[blockIndex], lastPos, dataP, dataPos, lastColumns);<a name="line.664"></a> <FONT color="green">665</FONT> regularPos += BLOCK_SIZE;<a name="line.665"></a> <FONT color="green">666</FONT> lastPos += lastColumns;<a name="line.666"></a> <FONT color="green">667</FONT> }<a name="line.667"></a> <FONT color="green">668</FONT> }<a name="line.668"></a> <FONT color="green">669</FONT> <a name="line.669"></a> <FONT color="green">670</FONT> return data;<a name="line.670"></a> <FONT color="green">671</FONT> <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> /** {@inheritDoc} */<a name="line.674"></a> <FONT color="green">675</FONT> @Override<a name="line.675"></a> <FONT color="green">676</FONT> public FieldMatrix<T> getSubMatrix(final int startRow, final int endRow,<a name="line.676"></a> <FONT color="green">677</FONT> final int startColumn, final int endColumn)<a name="line.677"></a> <FONT color="green">678</FONT> throws MatrixIndexException {<a name="line.678"></a> <FONT color="green">679</FONT> <a name="line.679"></a> <FONT color="green">680</FONT> // safety checks<a name="line.680"></a> <FONT color="green">681</FONT> checkSubMatrixIndex(startRow, endRow, startColumn, endColumn);<a name="line.681"></a> <FONT color="green">682</FONT> <a name="line.682"></a> <FONT color="green">683</FONT> // create the output matrix<a name="line.683"></a> <FONT color="green">684</FONT> final BlockFieldMatrix<T> out =<a name="line.684"></a> <FONT color="green">685</FONT> new BlockFieldMatrix<T>(getField(), endRow - startRow + 1, endColumn - startColumn + 1);<a name="line.685"></a> <FONT color="green">686</FONT> <a name="line.686"></a> <FONT color="green">687</FONT> // compute blocks shifts<a name="line.687"></a> <FONT color="green">688</FONT> final int blockStartRow = startRow / BLOCK_SIZE;<a name="line.688"></a> <FONT color="green">689</FONT> final int rowsShift = startRow % BLOCK_SIZE;<a name="line.689"></a> <FONT color="green">690</FONT> final int blockStartColumn = startColumn / BLOCK_SIZE;<a name="line.690"></a> <FONT color="green">691</FONT> final int columnsShift = startColumn % BLOCK_SIZE;<a name="line.691"></a> <FONT color="green">692</FONT> <a name="line.692"></a> <FONT color="green">693</FONT> // perform extraction block-wise, to ensure good cache behavior<a name="line.693"></a> <FONT color="green">694</FONT> int pBlock = blockStartRow;<a name="line.694"></a> <FONT color="green">695</FONT> for (int iBlock = 0; iBlock < out.blockRows; ++iBlock) {<a name="line.695"></a> <FONT color="green">696</FONT> final int iHeight = out.blockHeight(iBlock);<a name="line.696"></a> <FONT color="green">697</FONT> int qBlock = blockStartColumn;<a name="line.697"></a> <FONT color="green">698</FONT> for (int jBlock = 0; jBlock < out.blockColumns; ++jBlock) {<a name="line.698"></a> <FONT color="green">699</FONT> final int jWidth = out.blockWidth(jBlock);<a name="line.699"></a> <FONT color="green">700</FONT> <a name="line.700"></a> <FONT color="green">701</FONT> // handle one block of the output matrix<a name="line.701"></a> <FONT color="green">702</FONT> final int outIndex = iBlock * out.blockColumns + jBlock;<a name="line.702"></a> <FONT color="green">703</FONT> final T[] outBlock = out.blocks[outIndex];<a name="line.703"></a> <FONT color="green">704</FONT> final int index = pBlock * blockColumns + qBlock;<a name="line.704"></a> <FONT color="green">705</FONT> final int width = blockWidth(qBlock);<a name="line.705"></a> <FONT color="green">706</FONT> <a name="line.706"></a> <FONT color="green">707</FONT> final int heightExcess = iHeight + rowsShift - BLOCK_SIZE;<a name="line.707"></a> <FONT color="green">708</FONT> final int widthExcess = jWidth + columnsShift - BLOCK_SIZE;<a name="line.708"></a> <FONT color="green">709</FONT> if (heightExcess > 0) {<a name="line.709"></a> <FONT color="green">710</FONT> // the submatrix block spans on two blocks rows from the original matrix<a name="line.710"></a> <FONT color="green">711</FONT> if (widthExcess > 0) {<a name="line.711"></a> <FONT color="green">712</FONT> // the submatrix block spans on two blocks columns from the original matrix<a name="line.712"></a> <FONT color="green">713</FONT> final int width2 = blockWidth(qBlock + 1);<a name="line.713"></a> <FONT color="green">714</FONT> copyBlockPart(blocks[index], width,<a name="line.714"></a> <FONT color="green">715</FONT> rowsShift, BLOCK_SIZE,<a name="line.715"></a> <FONT color="green">716</FONT> columnsShift, BLOCK_SIZE,<a name="line.716"></a> <FONT color="green">717</FONT> outBlock, jWidth, 0, 0);<a name="line.717"></a> <FONT color="green">718</FONT> copyBlockPart(blocks[index + 1], width2,<a name="line.718"></a> <FONT color="green">719</FONT> rowsShift, BLOCK_SIZE,<a name="line.719"></a> <FONT color="green">720</FONT> 0, widthExcess,<a name="line.720"></a> <FONT color="green">721</FONT> outBlock, jWidth, 0, jWidth - widthExcess);<a name="line.721"></a> <FONT color="green">722</FONT> copyBlockPart(blocks[index + blockColumns], width,<a name="line.722"></a> <FONT color="green">723</FONT> 0, heightExcess,<a name="line.723"></a> <FONT color="green">724</FONT> columnsShift, BLOCK_SIZE,<a name="line.724"></a> <FONT color="green">725</FONT> outBlock, jWidth, iHeight - heightExcess, 0);<a name="line.725"></a> <FONT color="green">726</FONT> copyBlockPart(blocks[index + blockColumns + 1], width2,<a name="line.726"></a> <FONT color="green">727</FONT> 0, heightExcess,<a name="line.727"></a> <FONT color="green">728</FONT> 0, widthExcess,<a name="line.728"></a> <FONT color="green">729</FONT> outBlock, jWidth, iHeight - heightExcess, jWidth - widthExcess);<a name="line.729"></a> <FONT color="green">730</FONT> } else {<a name="line.730"></a> <FONT color="green">731</FONT> // the submatrix block spans on one block column from the original matrix<a name="line.731"></a> <FONT color="green">732</FONT> copyBlockPart(blocks[index], width,<a name="line.732"></a> <FONT color="green">733</FONT> rowsShift, BLOCK_SIZE,<a name="line.733"></a> <FONT color="green">734</FONT> columnsShift, jWidth + columnsShift,<a name="line.734"></a> <FONT color="green">735</FONT> outBlock, jWidth, 0, 0);<a name="line.735"></a> <FONT color="green">736</FONT> copyBlockPart(blocks[index + blockColumns], width,<a name="line.736"></a> <FONT color="green">737</FONT> 0, heightExcess,<a name="line.737"></a> <FONT color="green">738</FONT> columnsShift, jWidth + columnsShift,<a name="line.738"></a> <FONT color="green">739</FONT> outBlock, jWidth, iHeight - heightExcess, 0);<a name="line.739"></a> <FONT color="green">740</FONT> }<a name="line.740"></a> <FONT color="green">741</FONT> } else {<a name="line.741"></a> <FONT color="green">742</FONT> // the submatrix block spans on one block row from the original matrix<a name="line.742"></a> <FONT color="green">743</FONT> if (widthExcess > 0) {<a name="line.743"></a> <FONT color="green">744</FONT> // the submatrix block spans on two blocks columns from the original matrix<a name="line.744"></a> <FONT color="green">745</FONT> final int width2 = blockWidth(qBlock + 1);<a name="line.745"></a> <FONT color="green">746</FONT> copyBlockPart(blocks[index], width,<a name="line.746"></a> <FONT color="green">747</FONT> rowsShift, iHeight + rowsShift,<a name="line.747"></a> <FONT color="green">748</FONT> columnsShift, BLOCK_SIZE,<a name="line.748"></a> <FONT color="green">749</FONT> outBlock, jWidth, 0, 0);<a name="line.749"></a> <FONT color="green">750</FONT> copyBlockPart(blocks[index + 1], width2,<a name="line.750"></a> <FONT color="green">751</FONT> rowsShift, iHeight + rowsShift,<a name="line.751"></a> <FONT color="green">752</FONT> 0, widthExcess,<a name="line.752"></a> <FONT color="green">753</FONT> outBlock, jWidth, 0, jWidth - widthExcess);<a name="line.753"></a> <FONT color="green">754</FONT> } else {<a name="line.754"></a> <FONT color="green">755</FONT> // the submatrix block spans on one block column from the original matrix<a name="line.755"></a> <FONT color="green">756</FONT> copyBlockPart(blocks[index], width,<a name="line.756"></a> <FONT color="green">757</FONT> rowsShift, iHeight + rowsShift,<a name="line.757"></a> <FONT color="green">758</FONT> columnsShift, jWidth + columnsShift,<a name="line.758"></a> <FONT color="green">759</FONT> outBlock, jWidth, 0, 0);<a name="line.759"></a> <FONT color="green">760</FONT> }<a name="line.760"></a> <FONT color="green">761</FONT> }<a name="line.761"></a> <FONT color="green">762</FONT> <a name="line.762"></a> <FONT color="green">763</FONT> ++qBlock;<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> ++pBlock;<a name="line.766"></a> <FONT color="green">767</FONT> <a name="line.767"></a> <FONT color="green">768</FONT> }<a name="line.768"></a> <FONT color="green">769</FONT> <a name="line.769"></a> <FONT color="green">770</FONT> return out;<a name="line.770"></a> <FONT color="green">771</FONT> <a name="line.771"></a> <FONT color="green">772</FONT> }<a name="line.772"></a> <FONT color="green">773</FONT> <a name="line.773"></a> <FONT color="green">774</FONT> /**<a name="line.774"></a> <FONT color="green">775</FONT> * Copy a part of a block into another one<a name="line.775"></a> <FONT color="green">776</FONT> * <p>This method can be called only when the specified part fits in both<a name="line.776"></a> <FONT color="green">777</FONT> * blocks, no verification is done here.</p><a name="line.777"></a> <FONT color="green">778</FONT> * @param srcBlock source block<a name="line.778"></a> <FONT color="green">779</FONT> * @param srcWidth source block width ({@link #BLOCK_SIZE} or smaller)<a name="line.779"></a> <FONT color="green">780</FONT> * @param srcStartRow start row in the source block<a name="line.780"></a> <FONT color="green">781</FONT> * @param srcEndRow end row (exclusive) in the source block<a name="line.781"></a> <FONT color="green">782</FONT> * @param srcStartColumn start column in the source block<a name="line.782"></a> <FONT color="green">783</FONT> * @param srcEndColumn end column (exclusive) in the source block<a name="line.783"></a> <FONT color="green">784</FONT> * @param dstBlock destination block<a name="line.784"></a> <FONT color="green">785</FONT> * @param dstWidth destination block width ({@link #BLOCK_SIZE} or smaller)<a name="line.785"></a> <FONT color="green">786</FONT> * @param dstStartRow start row in the destination block<a name="line.786"></a> <FONT color="green">787</FONT> * @param dstStartColumn start column in the destination block<a name="line.787"></a> <FONT color="green">788</FONT> */<a name="line.788"></a> <FONT color="green">789</FONT> private void copyBlockPart(final T[] srcBlock, final int srcWidth,<a name="line.789"></a> <FONT color="green">790</FONT> final int srcStartRow, final int srcEndRow,<a name="line.790"></a> <FONT color="green">791</FONT> final int srcStartColumn, final int srcEndColumn,<a name="line.791"></a> <FONT color="green">792</FONT> final T[] dstBlock, final int dstWidth,<a name="line.792"></a> <FONT color="green">793</FONT> final int dstStartRow, final int dstStartColumn) {<a name="line.793"></a> <FONT color="green">794</FONT> final int length = srcEndColumn - srcStartColumn;<a name="line.794"></a> <FONT color="green">795</FONT> int srcPos = srcStartRow * srcWidth + srcStartColumn;<a name="line.795"></a> <FONT color="green">796</FONT> int dstPos = dstStartRow * dstWidth + dstStartColumn;<a name="line.796"></a> <FONT color="green">797</FONT> for (int srcRow = srcStartRow; srcRow < srcEndRow; ++srcRow) {<a name="line.797"></a> <FONT color="green">798</FONT> System.arraycopy(srcBlock, srcPos, dstBlock, dstPos, length);<a name="line.798"></a> <FONT color="green">799</FONT> srcPos += srcWidth;<a name="line.799"></a> <FONT color="green">800</FONT> dstPos += dstWidth;<a name="line.800"></a> <FONT color="green">801</FONT> }<a name="line.801"></a> <FONT color="green">802</FONT> }<a name="line.802"></a> <FONT color="green">803</FONT> <a name="line.803"></a> <FONT color="green">804</FONT> /** {@inheritDoc} */<a name="line.804"></a> <FONT color="green">805</FONT> @Override<a name="line.805"></a> <FONT color="green">806</FONT> public void setSubMatrix(final T[][] subMatrix, final int row, final int column)<a name="line.806"></a> <FONT color="green">807</FONT> throws MatrixIndexException {<a name="line.807"></a> <FONT color="green">808</FONT> <a name="line.808"></a> <FONT color="green">809</FONT> // safety checks<a name="line.809"></a> <FONT color="green">810</FONT> final int refLength = subMatrix[0].length;<a name="line.810"></a> <FONT color="green">811</FONT> if (refLength < 1) {<a name="line.811"></a> <FONT color="green">812</FONT> throw MathRuntimeException.createIllegalArgumentException("matrix must have at least one column");<a name="line.812"></a> <FONT color="green">813</FONT> }<a name="line.813"></a> <FONT color="green">814</FONT> final int endRow = row + subMatrix.length - 1;<a name="line.814"></a> <FONT color="green">815</FONT> final int endColumn = column + refLength - 1;<a name="line.815"></a> <FONT color="green">816</FONT> checkSubMatrixIndex(row, endRow, column, endColumn);<a name="line.816"></a> <FONT color="green">817</FONT> for (final T[] subRow : subMatrix) {<a name="line.817"></a> <FONT color="green">818</FONT> if (subRow.length != refLength) {<a name="line.818"></a> <FONT color="green">819</FONT> throw MathRuntimeException.createIllegalArgumentException(<a name="line.819"></a> <FONT color="green">820</FONT> "some rows have length {0} while others have length {1}",<a name="line.820"></a> <FONT color="green">821</FONT> refLength, subRow.length);<a name="line.821"></a> <FONT color="green">822</FONT> }<a name="line.822"></a> <FONT color="green">823</FONT> }<a name="line.823"></a> <FONT color="green">824</FONT> <a name="line.824"></a> <FONT color="green">825</FONT> // compute blocks bounds<a name="line.825"></a> <FONT color="green">826</FONT> final int blockStartRow = row / BLOCK_SIZE;<a name="line.826"></a> <FONT color="green">827</FONT> final int blockEndRow = (endRow + BLOCK_SIZE) / BLOCK_SIZE;<a name="line.827"></a> <FONT color="green">828</FONT> final int blockStartColumn = column / BLOCK_SIZE;<a name="line.828"></a> <FONT color="green">829</FONT> final int blockEndColumn = (endColumn + BLOCK_SIZE) / BLOCK_SIZE;<a name="line.829"></a> <FONT color="green">830</FONT> <a name="line.830"></a> <FONT color="green">831</FONT> // perform copy block-wise, to ensure good cache behavior<a name="line.831"></a> <FONT color="green">832</FONT> for (int iBlock = blockStartRow; iBlock < blockEndRow; ++iBlock) {<a name="line.832"></a> <FONT color="green">833</FONT> final int iHeight = blockHeight(iBlock);<a name="line.833"></a> <FONT color="green">834</FONT> final int firstRow = iBlock * BLOCK_SIZE;<a name="line.834"></a> <FONT color="green">835</FONT> final int iStart = Math.max(row, firstRow);<a name="line.835"></a> <FONT color="green">836</FONT> final int iEnd = Math.min(endRow + 1, firstRow + iHeight);<a name="line.836"></a> <FONT color="green">837</FONT> <a name="line.837"></a> <FONT color="green">838</FONT> for (int jBlock = blockStartColumn; jBlock < blockEndColumn; ++jBlock) {<a name="line.838"></a> <FONT color="green">839</FONT> final int jWidth = blockWidth(jBlock);<a name="line.839"></a> <FONT color="green">840</FONT> final int firstColumn = jBlock * BLOCK_SIZE;<a name="line.840"></a> <FONT color="green">841</FONT> final int jStart = Math.max(column, firstColumn);<a name="line.841"></a> <FONT color="green">842</FONT> final int jEnd = Math.min(endColumn + 1, firstColumn + jWidth);<a name="line.842"></a> <FONT color="green">843</FONT> final int jLength = jEnd - jStart;<a name="line.843"></a> <FONT color="green">844</FONT> <a name="line.844"></a> <FONT color="green">845</FONT> // handle one block, row by row<a name="line.845"></a> <FONT color="green">846</FONT> final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.846"></a> <FONT color="green">847</FONT> for (int i = iStart; i < iEnd; ++i) {<a name="line.847"></a> <FONT color="green">848</FONT> System.arraycopy(subMatrix[i - row], jStart - column,<a name="line.848"></a> <FONT color="green">849</FONT> block, (i - firstRow) * jWidth + (jStart - firstColumn),<a name="line.849"></a> <FONT color="green">850</FONT> jLength);<a name="line.850"></a> <FONT color="green">851</FONT> }<a name="line.851"></a> <FONT color="green">852</FONT> <a name="line.852"></a> <FONT color="green">853</FONT> }<a name="line.853"></a> <FONT color="green">854</FONT> }<a name="line.854"></a> <FONT color="green">855</FONT> }<a name="line.855"></a> <FONT color="green">856</FONT> <a name="line.856"></a> <FONT color="green">857</FONT> /** {@inheritDoc} */<a name="line.857"></a> <FONT color="green">858</FONT> @Override<a name="line.858"></a> <FONT color="green">859</FONT> public FieldMatrix<T> getRowMatrix(final int row)<a name="line.859"></a> <FONT color="green">860</FONT> throws MatrixIndexException {<a name="line.860"></a> <FONT color="green">861</FONT> <a name="line.861"></a> <FONT color="green">862</FONT> checkRowIndex(row);<a name="line.862"></a> <FONT color="green">863</FONT> final BlockFieldMatrix<T> out = new BlockFieldMatrix<T>(getField(), 1, columns);<a name="line.863"></a> <FONT color="green">864</FONT> <a name="line.864"></a> <FONT color="green">865</FONT> // perform copy block-wise, to ensure good cache behavior<a name="line.865"></a> <FONT color="green">866</FONT> final int iBlock = row / BLOCK_SIZE;<a name="line.866"></a> <FONT color="green">867</FONT> final int iRow = row - iBlock * BLOCK_SIZE;<a name="line.867"></a> <FONT color="green">868</FONT> int outBlockIndex = 0;<a name="line.868"></a> <FONT color="green">869</FONT> int outIndex = 0;<a name="line.869"></a> <FONT color="green">870</FONT> T[] outBlock = out.blocks[outBlockIndex];<a name="line.870"></a> <FONT color="green">871</FONT> for (int jBlock = 0; jBlock < blockColumns; ++jBlock) {<a name="line.871"></a> <FONT color="green">872</FONT> final int jWidth = blockWidth(jBlock);<a name="line.872"></a> <FONT color="green">873</FONT> final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.873"></a> <FONT color="green">874</FONT> final int available = outBlock.length - outIndex;<a name="line.874"></a> <FONT color="green">875</FONT> if (jWidth > available) {<a name="line.875"></a> <FONT color="green">876</FONT> System.arraycopy(block, iRow * jWidth, outBlock, outIndex, available);<a name="line.876"></a> <FONT color="green">877</FONT> outBlock = out.blocks[++outBlockIndex];<a name="line.877"></a> <FONT color="green">878</FONT> System.arraycopy(block, iRow * jWidth, outBlock, 0, jWidth - available);<a name="line.878"></a> <FONT color="green">879</FONT> outIndex = jWidth - available;<a name="line.879"></a> <FONT color="green">880</FONT> } else {<a name="line.880"></a> <FONT color="green">881</FONT> System.arraycopy(block, iRow * jWidth, outBlock, outIndex, jWidth);<a name="line.881"></a> <FONT color="green">882</FONT> outIndex += jWidth;<a name="line.882"></a> <FONT color="green">883</FONT> }<a name="line.883"></a> <FONT color="green">884</FONT> }<a name="line.884"></a> <FONT color="green">885</FONT> <a name="line.885"></a> <FONT color="green">886</FONT> return out;<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> /** {@inheritDoc} */<a name="line.890"></a> <FONT color="green">891</FONT> @Override<a name="line.891"></a> <FONT color="green">892</FONT> public void setRowMatrix(final int row, final FieldMatrix<T> matrix)<a name="line.892"></a> <FONT color="green">893</FONT> throws MatrixIndexException, InvalidMatrixException {<a name="line.893"></a> <FONT color="green">894</FONT> try {<a name="line.894"></a> <FONT color="green">895</FONT> setRowMatrix(row, (BlockFieldMatrix<T>) matrix);<a name="line.895"></a> <FONT color="green">896</FONT> } catch (ClassCastException cce) {<a name="line.896"></a> <FONT color="green">897</FONT> super.setRowMatrix(row, matrix);<a name="line.897"></a> <FONT color="green">898</FONT> }<a name="line.898"></a> <FONT color="green">899</FONT> }<a name="line.899"></a> <FONT color="green">900</FONT> <a name="line.900"></a> <FONT color="green">901</FONT> /**<a name="line.901"></a> <FONT color="green">902</FONT> * Sets the entries in row number <code>row</code><a name="line.902"></a> <FONT color="green">903</FONT> * as a row matrix. Row indices start at 0.<a name="line.903"></a> <FONT color="green">904</FONT> *<a name="line.904"></a> <FONT color="green">905</FONT> * @param row the row to be set<a name="line.905"></a> <FONT color="green">906</FONT> * @param matrix row matrix (must have one row and the same number of columns<a name="line.906"></a> <FONT color="green">907</FONT> * as the instance)<a name="line.907"></a> <FONT color="green">908</FONT> * @throws MatrixIndexException if the specified row index is invalid<a name="line.908"></a> <FONT color="green">909</FONT> * @throws InvalidMatrixException if the matrix dimensions do not match one<a name="line.909"></a> <FONT color="green">910</FONT> * instance row<a name="line.910"></a> <FONT color="green">911</FONT> */<a name="line.911"></a> <FONT color="green">912</FONT> public void setRowMatrix(final int row, final BlockFieldMatrix<T> matrix)<a name="line.912"></a> <FONT color="green">913</FONT> throws MatrixIndexException, InvalidMatrixException {<a name="line.913"></a> <FONT color="green">914</FONT> <a name="line.914"></a> <FONT color="green">915</FONT> checkRowIndex(row);<a name="line.915"></a> <FONT color="green">916</FONT> final int nCols = getColumnDimension();<a name="line.916"></a> <FONT color="green">917</FONT> if ((matrix.getRowDimension() != 1) ||<a name="line.917"></a> <FONT color="green">918</FONT> (matrix.getColumnDimension() != nCols)) {<a name="line.918"></a> <FONT color="green">919</FONT> throw new InvalidMatrixException(<a name="line.919"></a> <FONT color="green">920</FONT> "dimensions mismatch: got {0}x{1} but expected {2}x{3}",<a name="line.920"></a> <FONT color="green">921</FONT> matrix.getRowDimension(), matrix.getColumnDimension(),<a name="line.921"></a> <FONT color="green">922</FONT> 1, nCols);<a name="line.922"></a> <FONT color="green">923</FONT> }<a name="line.923"></a> <FONT color="green">924</FONT> <a name="line.924"></a> <FONT color="green">925</FONT> // perform copy block-wise, to ensure good cache behavior<a name="line.925"></a> <FONT color="green">926</FONT> final int iBlock = row / BLOCK_SIZE;<a name="line.926"></a> <FONT color="green">927</FONT> final int iRow = row - iBlock * BLOCK_SIZE;<a name="line.927"></a> <FONT color="green">928</FONT> int mBlockIndex = 0;<a name="line.928"></a> <FONT color="green">929</FONT> int mIndex = 0;<a name="line.929"></a> <FONT color="green">930</FONT> T[] mBlock = matrix.blocks[mBlockIndex];<a name="line.930"></a> <FONT color="green">931</FONT> for (int jBlock = 0; jBlock < blockColumns; ++jBlock) {<a name="line.931"></a> <FONT color="green">932</FONT> final int jWidth = blockWidth(jBlock);<a name="line.932"></a> <FONT color="green">933</FONT> final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.933"></a> <FONT color="green">934</FONT> final int available = mBlock.length - mIndex;<a name="line.934"></a> <FONT color="green">935</FONT> if (jWidth > available) {<a name="line.935"></a> <FONT color="green">936</FONT> System.arraycopy(mBlock, mIndex, block, iRow * jWidth, available);<a name="line.936"></a> <FONT color="green">937</FONT> mBlock = matrix.blocks[++mBlockIndex];<a name="line.937"></a> <FONT color="green">938</FONT> System.arraycopy(mBlock, 0, block, iRow * jWidth, jWidth - available);<a name="line.938"></a> <FONT color="green">939</FONT> mIndex = jWidth - available;<a name="line.939"></a> <FONT color="green">940</FONT> } else {<a name="line.940"></a> <FONT color="green">941</FONT> System.arraycopy(mBlock, mIndex, block, iRow * jWidth, jWidth);<a name="line.941"></a> <FONT color="green">942</FONT> mIndex += jWidth;<a name="line.942"></a> <FONT color="green">943</FONT> }<a name="line.943"></a> <FONT color="green">944</FONT> }<a name="line.944"></a> <FONT color="green">945</FONT> <a name="line.945"></a> <FONT color="green">946</FONT> }<a name="line.946"></a> <FONT color="green">947</FONT> <a name="line.947"></a> <FONT color="green">948</FONT> /** {@inheritDoc} */<a name="line.948"></a> <FONT color="green">949</FONT> @Override<a name="line.949"></a> <FONT color="green">950</FONT> public FieldMatrix<T> getColumnMatrix(final int column)<a name="line.950"></a> <FONT color="green">951</FONT> throws MatrixIndexException {<a name="line.951"></a> <FONT color="green">952</FONT> <a name="line.952"></a> <FONT color="green">953</FONT> checkColumnIndex(column);<a name="line.953"></a> <FONT color="green">954</FONT> final BlockFieldMatrix<T> out = new BlockFieldMatrix<T>(getField(), rows, 1);<a name="line.954"></a> <FONT color="green">955</FONT> <a name="line.955"></a> <FONT color="green">956</FONT> // perform copy block-wise, to ensure good cache behavior<a name="line.956"></a> <FONT color="green">957</FONT> final int jBlock = column / BLOCK_SIZE;<a name="line.957"></a> <FONT color="green">958</FONT> final int jColumn = column - jBlock * BLOCK_SIZE;<a name="line.958"></a> <FONT color="green">959</FONT> final int jWidth = blockWidth(jBlock);<a name="line.959"></a> <FONT color="green">960</FONT> int outBlockIndex = 0;<a name="line.960"></a> <FONT color="green">961</FONT> int outIndex = 0;<a name="line.961"></a> <FONT color="green">962</FONT> T[] outBlock = out.blocks[outBlockIndex];<a name="line.962"></a> <FONT color="green">963</FONT> for (int iBlock = 0; iBlock < blockRows; ++iBlock) {<a name="line.963"></a> <FONT color="green">964</FONT> final int iHeight = blockHeight(iBlock);<a name="line.964"></a> <FONT color="green">965</FONT> final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.965"></a> <FONT color="green">966</FONT> for (int i = 0; i < iHeight; ++i) {<a name="line.966"></a> <FONT color="green">967</FONT> if (outIndex >= outBlock.length) {<a name="line.967"></a> <FONT color="green">968</FONT> outBlock = out.blocks[++outBlockIndex];<a name="line.968"></a> <FONT color="green">969</FONT> outIndex = 0;<a name="line.969"></a> <FONT color="green">970</FONT> }<a name="line.970"></a> <FONT color="green">971</FONT> outBlock[outIndex++] = block[i * jWidth + jColumn];<a name="line.971"></a> <FONT color="green">972</FONT> }<a name="line.972"></a> <FONT color="green">973</FONT> }<a name="line.973"></a> <FONT color="green">974</FONT> <a name="line.974"></a> <FONT color="green">975</FONT> return out;<a name="line.975"></a> <FONT color="green">976</FONT> <a name="line.976"></a> <FONT color="green">977</FONT> }<a name="line.977"></a> <FONT color="green">978</FONT> <a name="line.978"></a> <FONT color="green">979</FONT> /** {@inheritDoc} */<a name="line.979"></a> <FONT color="green">980</FONT> @Override<a name="line.980"></a> <FONT color="green">981</FONT> public void setColumnMatrix(final int column, final FieldMatrix<T> matrix)<a name="line.981"></a> <FONT color="green">982</FONT> throws MatrixIndexException, InvalidMatrixException {<a name="line.982"></a> <FONT color="green">983</FONT> try {<a name="line.983"></a> <FONT color="green">984</FONT> setColumnMatrix(column, (BlockFieldMatrix<T>) matrix);<a name="line.984"></a> <FONT color="green">985</FONT> } catch (ClassCastException cce) {<a name="line.985"></a> <FONT color="green">986</FONT> super.setColumnMatrix(column, matrix);<a name="line.986"></a> <FONT color="green">987</FONT> }<a name="line.987"></a> <FONT color="green">988</FONT> }<a name="line.988"></a> <FONT color="green">989</FONT> <a name="line.989"></a> <FONT color="green">990</FONT> /**<a name="line.990"></a> <FONT color="green">991</FONT> * Sets the entries in column number <code>column</code><a name="line.991"></a> <FONT color="green">992</FONT> * as a column matrix. Column indices start at 0.<a name="line.992"></a> <FONT color="green">993</FONT> *<a name="line.993"></a> <FONT color="green">994</FONT> * @param column the column to be set<a name="line.994"></a> <FONT color="green">995</FONT> * @param matrix column matrix (must have one column and the same number of rows<a name="line.995"></a> <FONT color="green">996</FONT> * as the instance)<a name="line.996"></a> <FONT color="green">997</FONT> * @throws MatrixIndexException if the specified column index is invalid<a name="line.997"></a> <FONT color="green">998</FONT> * @throws InvalidMatrixException if the matrix dimensions do not match one<a name="line.998"></a> <FONT color="green">999</FONT> * instance column<a name="line.999"></a> <FONT color="green">1000</FONT> */<a name="line.1000"></a> <FONT color="green">1001</FONT> void setColumnMatrix(final int column, final BlockFieldMatrix<T> matrix)<a name="line.1001"></a> <FONT color="green">1002</FONT> throws MatrixIndexException, InvalidMatrixException {<a name="line.1002"></a> <FONT color="green">1003</FONT> <a name="line.1003"></a> <FONT color="green">1004</FONT> checkColumnIndex(column);<a name="line.1004"></a> <FONT color="green">1005</FONT> final int nRows = getRowDimension();<a name="line.1005"></a> <FONT color="green">1006</FONT> if ((matrix.getRowDimension() != nRows) ||<a name="line.1006"></a> <FONT color="green">1007</FONT> (matrix.getColumnDimension() != 1)) {<a name="line.1007"></a> <FONT color="green">1008</FONT> throw new InvalidMatrixException(<a name="line.1008"></a> <FONT color="green">1009</FONT> "dimensions mismatch: got {0}x{1} but expected {2}x{3}",<a name="line.1009"></a> <FONT color="green">1010</FONT> matrix.getRowDimension(), matrix.getColumnDimension(),<a name="line.1010"></a> <FONT color="green">1011</FONT> nRows, 1);<a name="line.1011"></a> <FONT color="green">1012</FONT> }<a name="line.1012"></a> <FONT color="green">1013</FONT> <a name="line.1013"></a> <FONT color="green">1014</FONT> // perform copy block-wise, to ensure good cache behavior<a name="line.1014"></a> <FONT color="green">1015</FONT> final int jBlock = column / BLOCK_SIZE;<a name="line.1015"></a> <FONT color="green">1016</FONT> final int jColumn = column - jBlock * BLOCK_SIZE;<a name="line.1016"></a> <FONT color="green">1017</FONT> final int jWidth = blockWidth(jBlock);<a name="line.1017"></a> <FONT color="green">1018</FONT> int mBlockIndex = 0;<a name="line.1018"></a> <FONT color="green">1019</FONT> int mIndex = 0;<a name="line.1019"></a> <FONT color="green">1020</FONT> T[] mBlock = matrix.blocks[mBlockIndex];<a name="line.1020"></a> <FONT color="green">1021</FONT> for (int iBlock = 0; iBlock < blockRows; ++iBlock) {<a name="line.1021"></a> <FONT color="green">1022</FONT> final int iHeight = blockHeight(iBlock);<a name="line.1022"></a> <FONT color="green">1023</FONT> final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1023"></a> <FONT color="green">1024</FONT> for (int i = 0; i < iHeight; ++i) {<a name="line.1024"></a> <FONT color="green">1025</FONT> if (mIndex >= mBlock.length) {<a name="line.1025"></a> <FONT color="green">1026</FONT> mBlock = matrix.blocks[++mBlockIndex];<a name="line.1026"></a> <FONT color="green">1027</FONT> mIndex = 0;<a name="line.1027"></a> <FONT color="green">1028</FONT> }<a name="line.1028"></a> <FONT color="green">1029</FONT> block[i * jWidth + jColumn] = mBlock[mIndex++];<a name="line.1029"></a> <FONT color="green">1030</FONT> }<a name="line.1030"></a> <FONT color="green">1031</FONT> }<a name="line.1031"></a> <FONT color="green">1032</FONT> <a name="line.1032"></a> <FONT color="green">1033</FONT> }<a name="line.1033"></a> <FONT color="green">1034</FONT> <a name="line.1034"></a> <FONT color="green">1035</FONT> /** {@inheritDoc} */<a name="line.1035"></a> <FONT color="green">1036</FONT> @Override<a name="line.1036"></a> <FONT color="green">1037</FONT> public FieldVector<T> getRowVector(final int row)<a name="line.1037"></a> <FONT color="green">1038</FONT> throws MatrixIndexException {<a name="line.1038"></a> <FONT color="green">1039</FONT> <a name="line.1039"></a> <FONT color="green">1040</FONT> checkRowIndex(row);<a name="line.1040"></a> <FONT color="green">1041</FONT> final T[] outData = buildArray(getField(), columns);<a name="line.1041"></a> <FONT color="green">1042</FONT> <a name="line.1042"></a> <FONT color="green">1043</FONT> // perform copy block-wise, to ensure good cache behavior<a name="line.1043"></a> <FONT color="green">1044</FONT> final int iBlock = row / BLOCK_SIZE;<a name="line.1044"></a> <FONT color="green">1045</FONT> final int iRow = row - iBlock * BLOCK_SIZE;<a name="line.1045"></a> <FONT color="green">1046</FONT> int outIndex = 0;<a name="line.1046"></a> <FONT color="green">1047</FONT> for (int jBlock = 0; jBlock < blockColumns; ++jBlock) {<a name="line.1047"></a> <FONT color="green">1048</FONT> final int jWidth = blockWidth(jBlock);<a name="line.1048"></a> <FONT color="green">1049</FONT> final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1049"></a> <FONT color="green">1050</FONT> System.arraycopy(block, iRow * jWidth, outData, outIndex, jWidth);<a name="line.1050"></a> <FONT color="green">1051</FONT> outIndex += jWidth;<a name="line.1051"></a> <FONT color="green">1052</FONT> }<a name="line.1052"></a> <FONT color="green">1053</FONT> <a name="line.1053"></a> <FONT color="green">1054</FONT> return new ArrayFieldVector<T>(outData, false);<a name="line.1054"></a> <FONT color="green">1055</FONT> <a name="line.1055"></a> <FONT color="green">1056</FONT> }<a name="line.1056"></a> <FONT color="green">1057</FONT> <a name="line.1057"></a> <FONT color="green">1058</FONT> /** {@inheritDoc} */<a name="line.1058"></a> <FONT color="green">1059</FONT> @Override<a name="line.1059"></a> <FONT color="green">1060</FONT> public void setRowVector(final int row, final FieldVector<T> vector)<a name="line.1060"></a> <FONT color="green">1061</FONT> throws MatrixIndexException, InvalidMatrixException {<a name="line.1061"></a> <FONT color="green">1062</FONT> try {<a name="line.1062"></a> <FONT color="green">1063</FONT> setRow(row, ((ArrayFieldVector<T>) vector).getDataRef());<a name="line.1063"></a> <FONT color="green">1064</FONT> } catch (ClassCastException cce) {<a name="line.1064"></a> <FONT color="green">1065</FONT> super.setRowVector(row, vector);<a name="line.1065"></a> <FONT color="green">1066</FONT> }<a name="line.1066"></a> <FONT color="green">1067</FONT> }<a name="line.1067"></a> <FONT color="green">1068</FONT> <a name="line.1068"></a> <FONT color="green">1069</FONT> /** {@inheritDoc} */<a name="line.1069"></a> <FONT color="green">1070</FONT> @Override<a name="line.1070"></a> <FONT color="green">1071</FONT> public FieldVector<T> getColumnVector(final int column)<a name="line.1071"></a> <FONT color="green">1072</FONT> throws MatrixIndexException {<a name="line.1072"></a> <FONT color="green">1073</FONT> <a name="line.1073"></a> <FONT color="green">1074</FONT> checkColumnIndex(column);<a name="line.1074"></a> <FONT color="green">1075</FONT> final T[] outData = buildArray(getField(), rows);<a name="line.1075"></a> <FONT color="green">1076</FONT> <a name="line.1076"></a> <FONT color="green">1077</FONT> // perform copy block-wise, to ensure good cache behavior<a name="line.1077"></a> <FONT color="green">1078</FONT> final int jBlock = column / BLOCK_SIZE;<a name="line.1078"></a> <FONT color="green">1079</FONT> final int jColumn = column - jBlock * BLOCK_SIZE;<a name="line.1079"></a> <FONT color="green">1080</FONT> final int jWidth = blockWidth(jBlock);<a name="line.1080"></a> <FONT color="green">1081</FONT> int outIndex = 0;<a name="line.1081"></a> <FONT color="green">1082</FONT> for (int iBlock = 0; iBlock < blockRows; ++iBlock) {<a name="line.1082"></a> <FONT color="green">1083</FONT> final int iHeight = blockHeight(iBlock);<a name="line.1083"></a> <FONT color="green">1084</FONT> final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1084"></a> <FONT color="green">1085</FONT> for (int i = 0; i < iHeight; ++i) {<a name="line.1085"></a> <FONT color="green">1086</FONT> outData[outIndex++] = block[i * jWidth + jColumn];<a name="line.1086"></a> <FONT color="green">1087</FONT> }<a name="line.1087"></a> <FONT color="green">1088</FONT> }<a name="line.1088"></a> <FONT color="green">1089</FONT> <a name="line.1089"></a> <FONT color="green">1090</FONT> return new ArrayFieldVector<T>(outData, false);<a name="line.1090"></a> <FONT color="green">1091</FONT> <a name="line.1091"></a> <FONT color="green">1092</FONT> }<a name="line.1092"></a> <FONT color="green">1093</FONT> <a name="line.1093"></a> <FONT color="green">1094</FONT> /** {@inheritDoc} */<a name="line.1094"></a> <FONT color="green">1095</FONT> @Override<a name="line.1095"></a> <FONT color="green">1096</FONT> public void setColumnVector(final int column, final FieldVector<T> vector)<a name="line.1096"></a> <FONT color="green">1097</FONT> throws MatrixIndexException, InvalidMatrixException {<a name="line.1097"></a> <FONT color="green">1098</FONT> try {<a name="line.1098"></a> <FONT color="green">1099</FONT> setColumn(column, ((ArrayFieldVector<T>) vector).getDataRef());<a name="line.1099"></a> <FONT color="green">1100</FONT> } catch (ClassCastException cce) {<a name="line.1100"></a> <FONT color="green">1101</FONT> super.setColumnVector(column, vector);<a name="line.1101"></a> <FONT color="green">1102</FONT> }<a name="line.1102"></a> <FONT color="green">1103</FONT> }<a name="line.1103"></a> <FONT color="green">1104</FONT> <a name="line.1104"></a> <FONT color="green">1105</FONT> /** {@inheritDoc} */<a name="line.1105"></a> <FONT color="green">1106</FONT> @Override<a name="line.1106"></a> <FONT color="green">1107</FONT> public T[] getRow(final int row)<a name="line.1107"></a> <FONT color="green">1108</FONT> throws MatrixIndexException {<a name="line.1108"></a> <FONT color="green">1109</FONT> <a name="line.1109"></a> <FONT color="green">1110</FONT> checkRowIndex(row);<a name="line.1110"></a> <FONT color="green">1111</FONT> final T[] out = buildArray(getField(), columns);<a name="line.1111"></a> <FONT color="green">1112</FONT> <a name="line.1112"></a> <FONT color="green">1113</FONT> // perform copy block-wise, to ensure good cache behavior<a name="line.1113"></a> <FONT color="green">1114</FONT> final int iBlock = row / BLOCK_SIZE;<a name="line.1114"></a> <FONT color="green">1115</FONT> final int iRow = row - iBlock * BLOCK_SIZE;<a name="line.1115"></a> <FONT color="green">1116</FONT> int outIndex = 0;<a name="line.1116"></a> <FONT color="green">1117</FONT> for (int jBlock = 0; jBlock < blockColumns; ++jBlock) {<a name="line.1117"></a> <FONT color="green">1118</FONT> final int jWidth = blockWidth(jBlock);<a name="line.1118"></a> <FONT color="green">1119</FONT> final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1119"></a> <FONT color="green">1120</FONT> System.arraycopy(block, iRow * jWidth, out, outIndex, jWidth);<a name="line.1120"></a> <FONT color="green">1121</FONT> outIndex += jWidth;<a name="line.1121"></a> <FONT color="green">1122</FONT> }<a name="line.1122"></a> <FONT color="green">1123</FONT> <a name="line.1123"></a> <FONT color="green">1124</FONT> return out;<a name="line.1124"></a> <FONT color="green">1125</FONT> <a name="line.1125"></a> <FONT color="green">1126</FONT> }<a name="line.1126"></a> <FONT color="green">1127</FONT> <a name="line.1127"></a> <FONT color="green">1128</FONT> /** {@inheritDoc} */<a name="line.1128"></a> <FONT color="green">1129</FONT> @Override<a name="line.1129"></a> <FONT color="green">1130</FONT> public void setRow(final int row, final T[] array)<a name="line.1130"></a> <FONT color="green">1131</FONT> throws MatrixIndexException, InvalidMatrixException {<a name="line.1131"></a> <FONT color="green">1132</FONT> <a name="line.1132"></a> <FONT color="green">1133</FONT> checkRowIndex(row);<a name="line.1133"></a> <FONT color="green">1134</FONT> final int nCols = getColumnDimension();<a name="line.1134"></a> <FONT color="green">1135</FONT> if (array.length != nCols) {<a name="line.1135"></a> <FONT color="green">1136</FONT> throw new InvalidMatrixException(<a name="line.1136"></a> <FONT color="green">1137</FONT> "dimensions mismatch: got {0}x{1} but expected {2}x{3}",<a name="line.1137"></a> <FONT color="green">1138</FONT> 1, array.length, 1, nCols);<a name="line.1138"></a> <FONT color="green">1139</FONT> }<a name="line.1139"></a> <FONT color="green">1140</FONT> <a name="line.1140"></a> <FONT color="green">1141</FONT> // perform copy block-wise, to ensure good cache behavior<a name="line.1141"></a> <FONT color="green">1142</FONT> final int iBlock = row / BLOCK_SIZE;<a name="line.1142"></a> <FONT color="green">1143</FONT> final int iRow = row - iBlock * BLOCK_SIZE;<a name="line.1143"></a> <FONT color="green">1144</FONT> int outIndex = 0;<a name="line.1144"></a> <FONT color="green">1145</FONT> for (int jBlock = 0; jBlock < blockColumns; ++jBlock) {<a name="line.1145"></a> <FONT color="green">1146</FONT> final int jWidth = blockWidth(jBlock);<a name="line.1146"></a> <FONT color="green">1147</FONT> final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1147"></a> <FONT color="green">1148</FONT> System.arraycopy(array, outIndex, block, iRow * jWidth, jWidth);<a name="line.1148"></a> <FONT color="green">1149</FONT> outIndex += jWidth;<a name="line.1149"></a> <FONT color="green">1150</FONT> }<a name="line.1150"></a> <FONT color="green">1151</FONT> <a name="line.1151"></a> <FONT color="green">1152</FONT> }<a name="line.1152"></a> <FONT color="green">1153</FONT> <a name="line.1153"></a> <FONT color="green">1154</FONT> /** {@inheritDoc} */<a name="line.1154"></a> <FONT color="green">1155</FONT> @Override<a name="line.1155"></a> <FONT color="green">1156</FONT> public T[] getColumn(final int column)<a name="line.1156"></a> <FONT color="green">1157</FONT> throws MatrixIndexException {<a name="line.1157"></a> <FONT color="green">1158</FONT> <a name="line.1158"></a> <FONT color="green">1159</FONT> checkColumnIndex(column);<a name="line.1159"></a> <FONT color="green">1160</FONT> final T[] out = buildArray(getField(), rows);<a name="line.1160"></a> <FONT color="green">1161</FONT> <a name="line.1161"></a> <FONT color="green">1162</FONT> // perform copy block-wise, to ensure good cache behavior<a name="line.1162"></a> <FONT color="green">1163</FONT> final int jBlock = column / BLOCK_SIZE;<a name="line.1163"></a> <FONT color="green">1164</FONT> final int jColumn = column - jBlock * BLOCK_SIZE;<a name="line.1164"></a> <FONT color="green">1165</FONT> final int jWidth = blockWidth(jBlock);<a name="line.1165"></a> <FONT color="green">1166</FONT> int outIndex = 0;<a name="line.1166"></a> <FONT color="green">1167</FONT> for (int iBlock = 0; iBlock < blockRows; ++iBlock) {<a name="line.1167"></a> <FONT color="green">1168</FONT> final int iHeight = blockHeight(iBlock);<a name="line.1168"></a> <FONT color="green">1169</FONT> final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1169"></a> <FONT color="green">1170</FONT> for (int i = 0; i < iHeight; ++i) {<a name="line.1170"></a> <FONT color="green">1171</FONT> out[outIndex++] = block[i * jWidth + jColumn];<a name="line.1171"></a> <FONT color="green">1172</FONT> }<a name="line.1172"></a> <FONT color="green">1173</FONT> }<a name="line.1173"></a> <FONT color="green">1174</FONT> <a name="line.1174"></a> <FONT color="green">1175</FONT> return out;<a name="line.1175"></a> <FONT color="green">1176</FONT> <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> /** {@inheritDoc} */<a name="line.1179"></a> <FONT color="green">1180</FONT> @Override<a name="line.1180"></a> <FONT color="green">1181</FONT> public void setColumn(final int column, final T[] array)<a name="line.1181"></a> <FONT color="green">1182</FONT> throws MatrixIndexException, InvalidMatrixException {<a name="line.1182"></a> <FONT color="green">1183</FONT> <a name="line.1183"></a> <FONT color="green">1184</FONT> checkColumnIndex(column);<a name="line.1184"></a> <FONT color="green">1185</FONT> final int nRows = getRowDimension();<a name="line.1185"></a> <FONT color="green">1186</FONT> if (array.length != nRows) {<a name="line.1186"></a> <FONT color="green">1187</FONT> throw new InvalidMatrixException(<a name="line.1187"></a> <FONT color="green">1188</FONT> "dimensions mismatch: got {0}x{1} but expected {2}x{3}",<a name="line.1188"></a> <FONT color="green">1189</FONT> array.length, 1, nRows, 1);<a name="line.1189"></a> <FONT color="green">1190</FONT> }<a name="line.1190"></a> <FONT color="green">1191</FONT> <a name="line.1191"></a> <FONT color="green">1192</FONT> // perform copy block-wise, to ensure good cache behavior<a name="line.1192"></a> <FONT color="green">1193</FONT> final int jBlock = column / BLOCK_SIZE;<a name="line.1193"></a> <FONT color="green">1194</FONT> final int jColumn = column - jBlock * BLOCK_SIZE;<a name="line.1194"></a> <FONT color="green">1195</FONT> final int jWidth = blockWidth(jBlock);<a name="line.1195"></a> <FONT color="green">1196</FONT> int outIndex = 0;<a name="line.1196"></a> <FONT color="green">1197</FONT> for (int iBlock = 0; iBlock < blockRows; ++iBlock) {<a name="line.1197"></a> <FONT color="green">1198</FONT> final int iHeight = blockHeight(iBlock);<a name="line.1198"></a> <FONT color="green">1199</FONT> final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1199"></a> <FONT color="green">1200</FONT> for (int i = 0; i < iHeight; ++i) {<a name="line.1200"></a> <FONT color="green">1201</FONT> block[i * jWidth + jColumn] = array[outIndex++];<a name="line.1201"></a> <FONT color="green">1202</FONT> }<a name="line.1202"></a> <FONT color="green">1203</FONT> }<a name="line.1203"></a> <FONT color="green">1204</FONT> <a name="line.1204"></a> <FONT color="green">1205</FONT> }<a name="line.1205"></a> <FONT color="green">1206</FONT> <a name="line.1206"></a> <FONT color="green">1207</FONT> /** {@inheritDoc} */<a name="line.1207"></a> <FONT color="green">1208</FONT> @Override<a name="line.1208"></a> <FONT color="green">1209</FONT> public T getEntry(final int row, final int column)<a name="line.1209"></a> <FONT color="green">1210</FONT> throws MatrixIndexException {<a name="line.1210"></a> <FONT color="green">1211</FONT> try {<a name="line.1211"></a> <FONT color="green">1212</FONT> final int iBlock = row / BLOCK_SIZE;<a name="line.1212"></a> <FONT color="green">1213</FONT> final int jBlock = column / BLOCK_SIZE;<a name="line.1213"></a> <FONT color="green">1214</FONT> final int k = (row - iBlock * BLOCK_SIZE) * blockWidth(jBlock) +<a name="line.1214"></a> <FONT color="green">1215</FONT> (column - jBlock * BLOCK_SIZE);<a name="line.1215"></a> <FONT color="green">1216</FONT> return blocks[iBlock * blockColumns + jBlock][k];<a name="line.1216"></a> <FONT color="green">1217</FONT> } catch (ArrayIndexOutOfBoundsException e) {<a name="line.1217"></a> <FONT color="green">1218</FONT> throw new MatrixIndexException(<a name="line.1218"></a> <FONT color="green">1219</FONT> "no entry at indices ({0}, {1}) in a {2}x{3} matrix",<a name="line.1219"></a> <FONT color="green">1220</FONT> row, column, getRowDimension(), getColumnDimension());<a name="line.1220"></a> <FONT color="green">1221</FONT> }<a name="line.1221"></a> <FONT color="green">1222</FONT> }<a name="line.1222"></a> <FONT color="green">1223</FONT> <a name="line.1223"></a> <FONT color="green">1224</FONT> /** {@inheritDoc} */<a name="line.1224"></a> <FONT color="green">1225</FONT> @Override<a name="line.1225"></a> <FONT color="green">1226</FONT> public void setEntry(final int row, final int column, final T value)<a name="line.1226"></a> <FONT color="green">1227</FONT> throws MatrixIndexException {<a name="line.1227"></a> <FONT color="green">1228</FONT> try {<a name="line.1228"></a> <FONT color="green">1229</FONT> final int iBlock = row / BLOCK_SIZE;<a name="line.1229"></a> <FONT color="green">1230</FONT> final int jBlock = column / BLOCK_SIZE;<a name="line.1230"></a> <FONT color="green">1231</FONT> final int k = (row - iBlock * BLOCK_SIZE) * blockWidth(jBlock) +<a name="line.1231"></a> <FONT color="green">1232</FONT> (column - jBlock * BLOCK_SIZE);<a name="line.1232"></a> <FONT color="green">1233</FONT> blocks[iBlock * blockColumns + jBlock][k] = value;<a name="line.1233"></a> <FONT color="green">1234</FONT> } catch (ArrayIndexOutOfBoundsException e) {<a name="line.1234"></a> <FONT color="green">1235</FONT> throw new MatrixIndexException(<a name="line.1235"></a> <FONT color="green">1236</FONT> "no entry at indices ({0}, {1}) in a {2}x{3} matrix",<a name="line.1236"></a> <FONT color="green">1237</FONT> row, column, getRowDimension(), getColumnDimension());<a name="line.1237"></a> <FONT color="green">1238</FONT> }<a name="line.1238"></a> <FONT color="green">1239</FONT> }<a name="line.1239"></a> <FONT color="green">1240</FONT> <a name="line.1240"></a> <FONT color="green">1241</FONT> /** {@inheritDoc} */<a name="line.1241"></a> <FONT color="green">1242</FONT> @Override<a name="line.1242"></a> <FONT color="green">1243</FONT> public void addToEntry(final int row, final int column, final T increment)<a name="line.1243"></a> <FONT color="green">1244</FONT> throws MatrixIndexException {<a name="line.1244"></a> <FONT color="green">1245</FONT> try {<a name="line.1245"></a> <FONT color="green">1246</FONT> final int iBlock = row / BLOCK_SIZE;<a name="line.1246"></a> <FONT color="green">1247</FONT> final int jBlock = column / BLOCK_SIZE;<a name="line.1247"></a> <FONT color="green">1248</FONT> final int k = (row - iBlock * BLOCK_SIZE) * blockWidth(jBlock) +<a name="line.1248"></a> <FONT color="green">1249</FONT> (column - jBlock * BLOCK_SIZE);<a name="line.1249"></a> <FONT color="green">1250</FONT> final T[] blockIJ = blocks[iBlock * blockColumns + jBlock];<a name="line.1250"></a> <FONT color="green">1251</FONT> blockIJ[k] = blockIJ[k].add(increment);<a name="line.1251"></a> <FONT color="green">1252</FONT> } catch (ArrayIndexOutOfBoundsException e) {<a name="line.1252"></a> <FONT color="green">1253</FONT> throw new MatrixIndexException(<a name="line.1253"></a> <FONT color="green">1254</FONT> "no entry at indices ({0}, {1}) in a {2}x{3} matrix",<a name="line.1254"></a> <FONT color="green">1255</FONT> row, column, getRowDimension(), getColumnDimension());<a name="line.1255"></a> <FONT color="green">1256</FONT> }<a name="line.1256"></a> <FONT color="green">1257</FONT> }<a name="line.1257"></a> <FONT color="green">1258</FONT> <a name="line.1258"></a> <FONT color="green">1259</FONT> /** {@inheritDoc} */<a name="line.1259"></a> <FONT color="green">1260</FONT> @Override<a name="line.1260"></a> <FONT color="green">1261</FONT> public void multiplyEntry(final int row, final int column, final T factor)<a name="line.1261"></a> <FONT color="green">1262</FONT> throws MatrixIndexException {<a name="line.1262"></a> <FONT color="green">1263</FONT> try {<a name="line.1263"></a> <FONT color="green">1264</FONT> final int iBlock = row / BLOCK_SIZE;<a name="line.1264"></a> <FONT color="green">1265</FONT> final int jBlock = column / BLOCK_SIZE;<a name="line.1265"></a> <FONT color="green">1266</FONT> final int k = (row - iBlock * BLOCK_SIZE) * blockWidth(jBlock) +<a name="line.1266"></a> <FONT color="green">1267</FONT> (column - jBlock * BLOCK_SIZE);<a name="line.1267"></a> <FONT color="green">1268</FONT> final T[] blockIJ = blocks[iBlock * blockColumns + jBlock];<a name="line.1268"></a> <FONT color="green">1269</FONT> blockIJ[k] = blockIJ[k].multiply(factor);<a name="line.1269"></a> <FONT color="green">1270</FONT> } catch (ArrayIndexOutOfBoundsException e) {<a name="line.1270"></a> <FONT color="green">1271</FONT> throw new MatrixIndexException(<a name="line.1271"></a> <FONT color="green">1272</FONT> "no entry at indices ({0}, {1}) in a {2}x{3} matrix",<a name="line.1272"></a> <FONT color="green">1273</FONT> row, column, getRowDimension(), getColumnDimension());<a name="line.1273"></a> <FONT color="green">1274</FONT> }<a name="line.1274"></a> <FONT color="green">1275</FONT> }<a name="line.1275"></a> <FONT color="green">1276</FONT> <a name="line.1276"></a> <FONT color="green">1277</FONT> /** {@inheritDoc} */<a name="line.1277"></a> <FONT color="green">1278</FONT> @Override<a name="line.1278"></a> <FONT color="green">1279</FONT> public FieldMatrix<T> transpose() {<a name="line.1279"></a> <FONT color="green">1280</FONT> <a name="line.1280"></a> <FONT color="green">1281</FONT> final int nRows = getRowDimension();<a name="line.1281"></a> <FONT color="green">1282</FONT> final int nCols = getColumnDimension();<a name="line.1282"></a> <FONT color="green">1283</FONT> final BlockFieldMatrix<T> out = new BlockFieldMatrix<T>(getField(), nCols, nRows);<a name="line.1283"></a> <FONT color="green">1284</FONT> <a name="line.1284"></a> <FONT color="green">1285</FONT> // perform transpose block-wise, to ensure good cache behavior<a name="line.1285"></a> <FONT color="green">1286</FONT> int blockIndex = 0;<a name="line.1286"></a> <FONT color="green">1287</FONT> for (int iBlock = 0; iBlock < blockColumns; ++iBlock) {<a name="line.1287"></a> <FONT color="green">1288</FONT> for (int jBlock = 0; jBlock < blockRows; ++jBlock) {<a name="line.1288"></a> <FONT color="green">1289</FONT> <a name="line.1289"></a> <FONT color="green">1290</FONT> // transpose current block<a name="line.1290"></a> <FONT color="green">1291</FONT> final T[] outBlock = out.blocks[blockIndex];<a name="line.1291"></a> <FONT color="green">1292</FONT> final T[] tBlock = blocks[jBlock * blockColumns + iBlock];<a name="line.1292"></a> <FONT color="green">1293</FONT> final int pStart = iBlock * BLOCK_SIZE;<a name="line.1293"></a> <FONT color="green">1294</FONT> final int pEnd = Math.min(pStart + BLOCK_SIZE, columns);<a name="line.1294"></a> <FONT color="green">1295</FONT> final int qStart = jBlock * BLOCK_SIZE;<a name="line.1295"></a> <FONT color="green">1296</FONT> final int qEnd = Math.min(qStart + BLOCK_SIZE, rows);<a name="line.1296"></a> <FONT color="green">1297</FONT> int k = 0;<a name="line.1297"></a> <FONT color="green">1298</FONT> for (int p = pStart; p < pEnd; ++p) {<a name="line.1298"></a> <FONT color="green">1299</FONT> final int lInc = pEnd - pStart;<a name="line.1299"></a> <FONT color="green">1300</FONT> int l = p - pStart;<a name="line.1300"></a> <FONT color="green">1301</FONT> for (int q = qStart; q < qEnd; ++q) {<a name="line.1301"></a> <FONT color="green">1302</FONT> outBlock[k] = tBlock[l];<a name="line.1302"></a> <FONT color="green">1303</FONT> ++k;<a name="line.1303"></a> <FONT color="green">1304</FONT> l+= lInc;<a name="line.1304"></a> <FONT color="green">1305</FONT> }<a name="line.1305"></a> <FONT color="green">1306</FONT> }<a name="line.1306"></a> <FONT color="green">1307</FONT> <a name="line.1307"></a> <FONT color="green">1308</FONT> // go to next block<a name="line.1308"></a> <FONT color="green">1309</FONT> ++blockIndex;<a name="line.1309"></a> <FONT color="green">1310</FONT> <a name="line.1310"></a> <FONT color="green">1311</FONT> }<a name="line.1311"></a> <FONT color="green">1312</FONT> }<a name="line.1312"></a> <FONT color="green">1313</FONT> <a name="line.1313"></a> <FONT color="green">1314</FONT> return out;<a name="line.1314"></a> <FONT color="green">1315</FONT> <a name="line.1315"></a> <FONT color="green">1316</FONT> }<a name="line.1316"></a> <FONT color="green">1317</FONT> <a name="line.1317"></a> <FONT color="green">1318</FONT> /** {@inheritDoc} */<a name="line.1318"></a> <FONT color="green">1319</FONT> @Override<a name="line.1319"></a> <FONT color="green">1320</FONT> public int getRowDimension() {<a name="line.1320"></a> <FONT color="green">1321</FONT> return rows;<a name="line.1321"></a> <FONT color="green">1322</FONT> }<a name="line.1322"></a> <FONT color="green">1323</FONT> <a name="line.1323"></a> <FONT color="green">1324</FONT> /** {@inheritDoc} */<a name="line.1324"></a> <FONT color="green">1325</FONT> @Override<a name="line.1325"></a> <FONT color="green">1326</FONT> public int getColumnDimension() {<a name="line.1326"></a> <FONT color="green">1327</FONT> return columns;<a name="line.1327"></a> <FONT color="green">1328</FONT> }<a name="line.1328"></a> <FONT color="green">1329</FONT> <a name="line.1329"></a> <FONT color="green">1330</FONT> /** {@inheritDoc} */<a name="line.1330"></a> <FONT color="green">1331</FONT> @Override<a name="line.1331"></a> <FONT color="green">1332</FONT> public T[] operate(final T[] v)<a name="line.1332"></a> <FONT color="green">1333</FONT> throws IllegalArgumentException {<a name="line.1333"></a> <FONT color="green">1334</FONT> <a name="line.1334"></a> <FONT color="green">1335</FONT> if (v.length != columns) {<a name="line.1335"></a> <FONT color="green">1336</FONT> throw MathRuntimeException.createIllegalArgumentException(<a name="line.1336"></a> <FONT color="green">1337</FONT> "vector length mismatch: got {0} but expected {1}",<a name="line.1337"></a> <FONT color="green">1338</FONT> v.length, columns);<a name="line.1338"></a> <FONT color="green">1339</FONT> }<a name="line.1339"></a> <FONT color="green">1340</FONT> final T[] out = buildArray(getField(), rows);<a name="line.1340"></a> <FONT color="green">1341</FONT> final T zero = getField().getZero();<a name="line.1341"></a> <FONT color="green">1342</FONT> <a name="line.1342"></a> <FONT color="green">1343</FONT> // perform multiplication block-wise, to ensure good cache behavior<a name="line.1343"></a> <FONT color="green">1344</FONT> for (int iBlock = 0; iBlock < blockRows; ++iBlock) {<a name="line.1344"></a> <FONT color="green">1345</FONT> final int pStart = iBlock * BLOCK_SIZE;<a name="line.1345"></a> <FONT color="green">1346</FONT> final int pEnd = Math.min(pStart + BLOCK_SIZE, rows);<a name="line.1346"></a> <FONT color="green">1347</FONT> for (int jBlock = 0; jBlock < blockColumns; ++jBlock) {<a name="line.1347"></a> <FONT color="green">1348</FONT> final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1348"></a> <FONT color="green">1349</FONT> final int qStart = jBlock * BLOCK_SIZE;<a name="line.1349"></a> <FONT color="green">1350</FONT> final int qEnd = Math.min(qStart + BLOCK_SIZE, columns);<a name="line.1350"></a> <FONT color="green">1351</FONT> int k = 0;<a name="line.1351"></a> <FONT color="green">1352</FONT> for (int p = pStart; p < pEnd; ++p) {<a name="line.1352"></a> <FONT color="green">1353</FONT> T sum = zero;<a name="line.1353"></a> <FONT color="green">1354</FONT> int q = qStart;<a name="line.1354"></a> <FONT color="green">1355</FONT> while (q < qEnd - 3) {<a name="line.1355"></a> <FONT color="green">1356</FONT> sum = sum.<a name="line.1356"></a> <FONT color="green">1357</FONT> add(block[k].multiply(v[q])).<a name="line.1357"></a> <FONT color="green">1358</FONT> add(block[k + 1].multiply(v[q + 1])).<a name="line.1358"></a> <FONT color="green">1359</FONT> add(block[k + 2].multiply(v[q + 2])).<a name="line.1359"></a> <FONT color="green">1360</FONT> add(block[k + 3].multiply(v[q + 3]));<a name="line.1360"></a> <FONT color="green">1361</FONT> k += 4;<a name="line.1361"></a> <FONT color="green">1362</FONT> q += 4;<a name="line.1362"></a> <FONT color="green">1363</FONT> }<a name="line.1363"></a> <FONT color="green">1364</FONT> while (q < qEnd) {<a name="line.1364"></a> <FONT color="green">1365</FONT> sum = sum.add(block[k++].multiply(v[q++]));<a name="line.1365"></a> <FONT color="green">1366</FONT> }<a name="line.1366"></a> <FONT color="green">1367</FONT> out[p] = out[p].add(sum);<a name="line.1367"></a> <FONT color="green">1368</FONT> }<a name="line.1368"></a> <FONT color="green">1369</FONT> }<a name="line.1369"></a> <FONT color="green">1370</FONT> }<a name="line.1370"></a> <FONT color="green">1371</FONT> <a name="line.1371"></a> <FONT color="green">1372</FONT> return out;<a name="line.1372"></a> <FONT color="green">1373</FONT> <a name="line.1373"></a> <FONT color="green">1374</FONT> }<a name="line.1374"></a> <FONT color="green">1375</FONT> <a name="line.1375"></a> <FONT color="green">1376</FONT> /** {@inheritDoc} */<a name="line.1376"></a> <FONT color="green">1377</FONT> @Override<a name="line.1377"></a> <FONT color="green">1378</FONT> public T[] preMultiply(final T[] v)<a name="line.1378"></a> <FONT color="green">1379</FONT> throws IllegalArgumentException {<a name="line.1379"></a> <FONT color="green">1380</FONT> <a name="line.1380"></a> <FONT color="green">1381</FONT> if (v.length != rows) {<a name="line.1381"></a> <FONT color="green">1382</FONT> throw MathRuntimeException.createIllegalArgumentException(<a name="line.1382"></a> <FONT color="green">1383</FONT> "vector length mismatch: got {0} but expected {1}",<a name="line.1383"></a> <FONT color="green">1384</FONT> v.length, rows);<a name="line.1384"></a> <FONT color="green">1385</FONT> }<a name="line.1385"></a> <FONT color="green">1386</FONT> final T[] out = buildArray(getField(), columns);<a name="line.1386"></a> <FONT color="green">1387</FONT> final T zero = getField().getZero();<a name="line.1387"></a> <FONT color="green">1388</FONT> <a name="line.1388"></a> <FONT color="green">1389</FONT> // perform multiplication block-wise, to ensure good cache behavior<a name="line.1389"></a> <FONT color="green">1390</FONT> for (int jBlock = 0; jBlock < blockColumns; ++jBlock) {<a name="line.1390"></a> <FONT color="green">1391</FONT> final int jWidth = blockWidth(jBlock);<a name="line.1391"></a> <FONT color="green">1392</FONT> final int jWidth2 = jWidth + jWidth;<a name="line.1392"></a> <FONT color="green">1393</FONT> final int jWidth3 = jWidth2 + jWidth;<a name="line.1393"></a> <FONT color="green">1394</FONT> final int jWidth4 = jWidth3 + jWidth;<a name="line.1394"></a> <FONT color="green">1395</FONT> final int qStart = jBlock * BLOCK_SIZE;<a name="line.1395"></a> <FONT color="green">1396</FONT> final int qEnd = Math.min(qStart + BLOCK_SIZE, columns);<a name="line.1396"></a> <FONT color="green">1397</FONT> for (int iBlock = 0; iBlock < blockRows; ++iBlock) {<a name="line.1397"></a> <FONT color="green">1398</FONT> final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1398"></a> <FONT color="green">1399</FONT> final int pStart = iBlock * BLOCK_SIZE;<a name="line.1399"></a> <FONT color="green">1400</FONT> final int pEnd = Math.min(pStart + BLOCK_SIZE, rows);<a name="line.1400"></a> <FONT color="green">1401</FONT> for (int q = qStart; q < qEnd; ++q) {<a name="line.1401"></a> <FONT color="green">1402</FONT> int k = q - qStart;<a name="line.1402"></a> <FONT color="green">1403</FONT> T sum = zero;<a name="line.1403"></a> <FONT color="green">1404</FONT> int p = pStart;<a name="line.1404"></a> <FONT color="green">1405</FONT> while (p < pEnd - 3) {<a name="line.1405"></a> <FONT color="green">1406</FONT> sum = sum.<a name="line.1406"></a> <FONT color="green">1407</FONT> add(block[k].multiply(v[p])).<a name="line.1407"></a> <FONT color="green">1408</FONT> add(block[k + jWidth].multiply(v[p + 1])).<a name="line.1408"></a> <FONT color="green">1409</FONT> add(block[k + jWidth2].multiply(v[p + 2])).<a name="line.1409"></a> <FONT color="green">1410</FONT> add(block[k + jWidth3].multiply(v[p + 3]));<a name="line.1410"></a> <FONT color="green">1411</FONT> k += jWidth4;<a name="line.1411"></a> <FONT color="green">1412</FONT> p += 4;<a name="line.1412"></a> <FONT color="green">1413</FONT> }<a name="line.1413"></a> <FONT color="green">1414</FONT> while (p < pEnd) {<a name="line.1414"></a> <FONT color="green">1415</FONT> sum = sum.add(block[k].multiply(v[p++]));<a name="line.1415"></a> <FONT color="green">1416</FONT> k += jWidth;<a name="line.1416"></a> <FONT color="green">1417</FONT> }<a name="line.1417"></a> <FONT color="green">1418</FONT> out[q] = out[q].add(sum);<a name="line.1418"></a> <FONT color="green">1419</FONT> }<a name="line.1419"></a> <FONT color="green">1420</FONT> }<a name="line.1420"></a> <FONT color="green">1421</FONT> }<a name="line.1421"></a> <FONT color="green">1422</FONT> <a name="line.1422"></a> <FONT color="green">1423</FONT> return out;<a name="line.1423"></a> <FONT color="green">1424</FONT> <a name="line.1424"></a> <FONT color="green">1425</FONT> }<a name="line.1425"></a> <FONT color="green">1426</FONT> <a name="line.1426"></a> <FONT color="green">1427</FONT> /** {@inheritDoc} */<a name="line.1427"></a> <FONT color="green">1428</FONT> @Override<a name="line.1428"></a> <FONT color="green">1429</FONT> public T walkInRowOrder(final FieldMatrixChangingVisitor<T> visitor)<a name="line.1429"></a> <FONT color="green">1430</FONT> throws MatrixVisitorException {<a name="line.1430"></a> <FONT color="green">1431</FONT> visitor.start(rows, columns, 0, rows - 1, 0, columns - 1);<a name="line.1431"></a> <FONT color="green">1432</FONT> for (int iBlock = 0; iBlock < blockRows; ++iBlock) {<a name="line.1432"></a> <FONT color="green">1433</FONT> final int pStart = iBlock * BLOCK_SIZE;<a name="line.1433"></a> <FONT color="green">1434</FONT> final int pEnd = Math.min(pStart + BLOCK_SIZE, rows);<a name="line.1434"></a> <FONT color="green">1435</FONT> for (int p = pStart; p < pEnd; ++p) {<a name="line.1435"></a> <FONT color="green">1436</FONT> for (int jBlock = 0; jBlock < blockColumns; ++jBlock) {<a name="line.1436"></a> <FONT color="green">1437</FONT> final int jWidth = blockWidth(jBlock);<a name="line.1437"></a> <FONT color="green">1438</FONT> final int qStart = jBlock * BLOCK_SIZE;<a name="line.1438"></a> <FONT color="green">1439</FONT> final int qEnd = Math.min(qStart + BLOCK_SIZE, columns);<a name="line.1439"></a> <FONT color="green">1440</FONT> final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1440"></a> <FONT color="green">1441</FONT> int k = (p - pStart) * jWidth;<a name="line.1441"></a> <FONT color="green">1442</FONT> for (int q = qStart; q < qEnd; ++q) {<a name="line.1442"></a> <FONT color="green">1443</FONT> block[k] = visitor.visit(p, q, block[k]);<a name="line.1443"></a> <FONT color="green">1444</FONT> ++k;<a name="line.1444"></a> <FONT color="green">1445</FONT> }<a name="line.1445"></a> <FONT color="green">1446</FONT> }<a name="line.1446"></a> <FONT color="green">1447</FONT> }<a name="line.1447"></a> <FONT color="green">1448</FONT> }<a name="line.1448"></a> <FONT color="green">1449</FONT> return visitor.end();<a name="line.1449"></a> <FONT color="green">1450</FONT> }<a name="line.1450"></a> <FONT color="green">1451</FONT> <a name="line.1451"></a> <FONT color="green">1452</FONT> /** {@inheritDoc} */<a name="line.1452"></a> <FONT color="green">1453</FONT> @Override<a name="line.1453"></a> <FONT color="green">1454</FONT> public T walkInRowOrder(final FieldMatrixPreservingVisitor<T> visitor)<a name="line.1454"></a> <FONT color="green">1455</FONT> throws MatrixVisitorException {<a name="line.1455"></a> <FONT color="green">1456</FONT> visitor.start(rows, columns, 0, rows - 1, 0, columns - 1);<a name="line.1456"></a> <FONT color="green">1457</FONT> for (int iBlock = 0; iBlock < blockRows; ++iBlock) {<a name="line.1457"></a> <FONT color="green">1458</FONT> final int pStart = iBlock * BLOCK_SIZE;<a name="line.1458"></a> <FONT color="green">1459</FONT> final int pEnd = Math.min(pStart + BLOCK_SIZE, rows);<a name="line.1459"></a> <FONT color="green">1460</FONT> for (int p = pStart; p < pEnd; ++p) {<a name="line.1460"></a> <FONT color="green">1461</FONT> for (int jBlock = 0; jBlock < blockColumns; ++jBlock) {<a name="line.1461"></a> <FONT color="green">1462</FONT> final int jWidth = blockWidth(jBlock);<a name="line.1462"></a> <FONT color="green">1463</FONT> final int qStart = jBlock * BLOCK_SIZE;<a name="line.1463"></a> <FONT color="green">1464</FONT> final int qEnd = Math.min(qStart + BLOCK_SIZE, columns);<a name="line.1464"></a> <FONT color="green">1465</FONT> final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1465"></a> <FONT color="green">1466</FONT> int k = (p - pStart) * jWidth;<a name="line.1466"></a> <FONT color="green">1467</FONT> for (int q = qStart; q < qEnd; ++q) {<a name="line.1467"></a> <FONT color="green">1468</FONT> visitor.visit(p, q, block[k]);<a name="line.1468"></a> <FONT color="green">1469</FONT> ++k;<a name="line.1469"></a> <FONT color="green">1470</FONT> }<a name="line.1470"></a> <FONT color="green">1471</FONT> }<a name="line.1471"></a> <FONT color="green">1472</FONT> }<a name="line.1472"></a> <FONT color="green">1473</FONT> }<a name="line.1473"></a> <FONT color="green">1474</FONT> return visitor.end();<a name="line.1474"></a> <FONT color="green">1475</FONT> }<a name="line.1475"></a> <FONT color="green">1476</FONT> <a name="line.1476"></a> <FONT color="green">1477</FONT> /** {@inheritDoc} */<a name="line.1477"></a> <FONT color="green">1478</FONT> @Override<a name="line.1478"></a> <FONT color="green">1479</FONT> public T walkInRowOrder(final FieldMatrixChangingVisitor<T> visitor,<a name="line.1479"></a> <FONT color="green">1480</FONT> final int startRow, final int endRow,<a name="line.1480"></a> <FONT color="green">1481</FONT> final int startColumn, final int endColumn)<a name="line.1481"></a> <FONT color="green">1482</FONT> throws MatrixIndexException, MatrixVisitorException {<a name="line.1482"></a> <FONT color="green">1483</FONT> checkSubMatrixIndex(startRow, endRow, startColumn, endColumn);<a name="line.1483"></a> <FONT color="green">1484</FONT> visitor.start(rows, columns, startRow, endRow, startColumn, endColumn);<a name="line.1484"></a> <FONT color="green">1485</FONT> for (int iBlock = startRow / BLOCK_SIZE; iBlock < 1 + endRow / BLOCK_SIZE; ++iBlock) {<a name="line.1485"></a> <FONT color="green">1486</FONT> final int p0 = iBlock * BLOCK_SIZE;<a name="line.1486"></a> <FONT color="green">1487</FONT> final int pStart = Math.max(startRow, p0);<a name="line.1487"></a> <FONT color="green">1488</FONT> final int pEnd = Math.min((iBlock + 1) * BLOCK_SIZE, 1 + endRow);<a name="line.1488"></a> <FONT color="green">1489</FONT> for (int p = pStart; p < pEnd; ++p) {<a name="line.1489"></a> <FONT color="green">1490</FONT> for (int jBlock = startColumn / BLOCK_SIZE; jBlock < 1 + endColumn / BLOCK_SIZE; ++jBlock) {<a name="line.1490"></a> <FONT color="green">1491</FONT> final int jWidth = blockWidth(jBlock);<a name="line.1491"></a> <FONT color="green">1492</FONT> final int q0 = jBlock * BLOCK_SIZE;<a name="line.1492"></a> <FONT color="green">1493</FONT> final int qStart = Math.max(startColumn, q0);<a name="line.1493"></a> <FONT color="green">1494</FONT> final int qEnd = Math.min((jBlock + 1) * BLOCK_SIZE, 1 + endColumn);<a name="line.1494"></a> <FONT color="green">1495</FONT> final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1495"></a> <FONT color="green">1496</FONT> int k = (p - p0) * jWidth + qStart - q0;<a name="line.1496"></a> <FONT color="green">1497</FONT> for (int q = qStart; q < qEnd; ++q) {<a name="line.1497"></a> <FONT color="green">1498</FONT> block[k] = visitor.visit(p, q, block[k]);<a name="line.1498"></a> <FONT color="green">1499</FONT> ++k;<a name="line.1499"></a> <FONT color="green">1500</FONT> }<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> }<a name="line.1503"></a> <FONT color="green">1504</FONT> return visitor.end();<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> <FONT color="green">1507</FONT> /** {@inheritDoc} */<a name="line.1507"></a> <FONT color="green">1508</FONT> @Override<a name="line.1508"></a> <FONT color="green">1509</FONT> public T walkInRowOrder(final FieldMatrixPreservingVisitor<T> visitor,<a name="line.1509"></a> <FONT color="green">1510</FONT> final int startRow, final int endRow,<a name="line.1510"></a> <FONT color="green">1511</FONT> final int startColumn, final int endColumn)<a name="line.1511"></a> <FONT color="green">1512</FONT> throws MatrixIndexException, MatrixVisitorException {<a name="line.1512"></a> <FONT color="green">1513</FONT> checkSubMatrixIndex(startRow, endRow, startColumn, endColumn);<a name="line.1513"></a> <FONT color="green">1514</FONT> visitor.start(rows, columns, startRow, endRow, startColumn, endColumn);<a name="line.1514"></a> <FONT color="green">1515</FONT> for (int iBlock = startRow / BLOCK_SIZE; iBlock < 1 + endRow / BLOCK_SIZE; ++iBlock) {<a name="line.1515"></a> <FONT color="green">1516</FONT> final int p0 = iBlock * BLOCK_SIZE;<a name="line.1516"></a> <FONT color="green">1517</FONT> final int pStart = Math.max(startRow, p0);<a name="line.1517"></a> <FONT color="green">1518</FONT> final int pEnd = Math.min((iBlock + 1) * BLOCK_SIZE, 1 + endRow);<a name="line.1518"></a> <FONT color="green">1519</FONT> for (int p = pStart; p < pEnd; ++p) {<a name="line.1519"></a> <FONT color="green">1520</FONT> for (int jBlock = startColumn / BLOCK_SIZE; jBlock < 1 + endColumn / BLOCK_SIZE; ++jBlock) {<a name="line.1520"></a> <FONT color="green">1521</FONT> final int jWidth = blockWidth(jBlock);<a name="line.1521"></a> <FONT color="green">1522</FONT> final int q0 = jBlock * BLOCK_SIZE;<a name="line.1522"></a> <FONT color="green">1523</FONT> final int qStart = Math.max(startColumn, q0);<a name="line.1523"></a> <FONT color="green">1524</FONT> final int qEnd = Math.min((jBlock + 1) * BLOCK_SIZE, 1 + endColumn);<a name="line.1524"></a> <FONT color="green">1525</FONT> final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1525"></a> <FONT color="green">1526</FONT> int k = (p - p0) * jWidth + qStart - q0;<a name="line.1526"></a> <FONT color="green">1527</FONT> for (int q = qStart; q < qEnd; ++q) {<a name="line.1527"></a> <FONT color="green">1528</FONT> visitor.visit(p, q, block[k]);<a name="line.1528"></a> <FONT color="green">1529</FONT> ++k;<a name="line.1529"></a> <FONT color="green">1530</FONT> }<a name="line.1530"></a> <FONT color="green">1531</FONT> }<a name="line.1531"></a> <FONT color="green">1532</FONT> }<a name="line.1532"></a> <FONT color="green">1533</FONT> }<a name="line.1533"></a> <FONT color="green">1534</FONT> return visitor.end();<a name="line.1534"></a> <FONT color="green">1535</FONT> }<a name="line.1535"></a> <FONT color="green">1536</FONT> <a name="line.1536"></a> <FONT color="green">1537</FONT> /** {@inheritDoc} */<a name="line.1537"></a> <FONT color="green">1538</FONT> @Override<a name="line.1538"></a> <FONT color="green">1539</FONT> public T walkInOptimizedOrder(final FieldMatrixChangingVisitor<T> visitor)<a name="line.1539"></a> <FONT color="green">1540</FONT> throws MatrixVisitorException {<a name="line.1540"></a> <FONT color="green">1541</FONT> visitor.start(rows, columns, 0, rows - 1, 0, columns - 1);<a name="line.1541"></a> <FONT color="green">1542</FONT> int blockIndex = 0;<a name="line.1542"></a> <FONT color="green">1543</FONT> for (int iBlock = 0; iBlock < blockRows; ++iBlock) {<a name="line.1543"></a> <FONT color="green">1544</FONT> final int pStart = iBlock * BLOCK_SIZE;<a name="line.1544"></a> <FONT color="green">1545</FONT> final int pEnd = Math.min(pStart + BLOCK_SIZE, rows);<a name="line.1545"></a> <FONT color="green">1546</FONT> for (int jBlock = 0; jBlock < blockColumns; ++jBlock) {<a name="line.1546"></a> <FONT color="green">1547</FONT> final int qStart = jBlock * BLOCK_SIZE;<a name="line.1547"></a> <FONT color="green">1548</FONT> final int qEnd = Math.min(qStart + BLOCK_SIZE, columns);<a name="line.1548"></a> <FONT color="green">1549</FONT> final T[] block = blocks[blockIndex];<a name="line.1549"></a> <FONT color="green">1550</FONT> int k = 0;<a name="line.1550"></a> <FONT color="green">1551</FONT> for (int p = pStart; p < pEnd; ++p) {<a name="line.1551"></a> <FONT color="green">1552</FONT> for (int q = qStart; q < qEnd; ++q) {<a name="line.1552"></a> <FONT color="green">1553</FONT> block[k] = visitor.visit(p, q, block[k]);<a name="line.1553"></a> <FONT color="green">1554</FONT> ++k;<a name="line.1554"></a> <FONT color="green">1555</FONT> }<a name="line.1555"></a> <FONT color="green">1556</FONT> }<a name="line.1556"></a> <FONT color="green">1557</FONT> ++blockIndex;<a name="line.1557"></a> <FONT color="green">1558</FONT> }<a name="line.1558"></a> <FONT color="green">1559</FONT> }<a name="line.1559"></a> <FONT color="green">1560</FONT> return visitor.end();<a name="line.1560"></a> <FONT color="green">1561</FONT> }<a name="line.1561"></a> <FONT color="green">1562</FONT> <a name="line.1562"></a> <FONT color="green">1563</FONT> /** {@inheritDoc} */<a name="line.1563"></a> <FONT color="green">1564</FONT> @Override<a name="line.1564"></a> <FONT color="green">1565</FONT> public T walkInOptimizedOrder(final FieldMatrixPreservingVisitor<T> visitor)<a name="line.1565"></a> <FONT color="green">1566</FONT> throws MatrixVisitorException {<a name="line.1566"></a> <FONT color="green">1567</FONT> visitor.start(rows, columns, 0, rows - 1, 0, columns - 1);<a name="line.1567"></a> <FONT color="green">1568</FONT> int blockIndex = 0;<a name="line.1568"></a> <FONT color="green">1569</FONT> for (int iBlock = 0; iBlock < blockRows; ++iBlock) {<a name="line.1569"></a> <FONT color="green">1570</FONT> final int pStart = iBlock * BLOCK_SIZE;<a name="line.1570"></a> <FONT color="green">1571</FONT> final int pEnd = Math.min(pStart + BLOCK_SIZE, rows);<a name="line.1571"></a> <FONT color="green">1572</FONT> for (int jBlock = 0; jBlock < blockColumns; ++jBlock) {<a name="line.1572"></a> <FONT color="green">1573</FONT> final int qStart = jBlock * BLOCK_SIZE;<a name="line.1573"></a> <FONT color="green">1574</FONT> final int qEnd = Math.min(qStart + BLOCK_SIZE, columns);<a name="line.1574"></a> <FONT color="green">1575</FONT> final T[] block = blocks[blockIndex];<a name="line.1575"></a> <FONT color="green">1576</FONT> int k = 0;<a name="line.1576"></a> <FONT color="green">1577</FONT> for (int p = pStart; p < pEnd; ++p) {<a name="line.1577"></a> <FONT color="green">1578</FONT> for (int q = qStart; q < qEnd; ++q) {<a name="line.1578"></a> <FONT color="green">1579</FONT> visitor.visit(p, q, block[k]);<a name="line.1579"></a> <FONT color="green">1580</FONT> ++k;<a name="line.1580"></a> <FONT color="green">1581</FONT> }<a name="line.1581"></a> <FONT color="green">1582</FONT> }<a name="line.1582"></a> <FONT color="green">1583</FONT> ++blockIndex;<a name="line.1583"></a> <FONT color="green">1584</FONT> }<a name="line.1584"></a> <FONT color="green">1585</FONT> }<a name="line.1585"></a> <FONT color="green">1586</FONT> return visitor.end();<a name="line.1586"></a> <FONT color="green">1587</FONT> }<a name="line.1587"></a> <FONT color="green">1588</FONT> <a name="line.1588"></a> <FONT color="green">1589</FONT> /** {@inheritDoc} */<a name="line.1589"></a> <FONT color="green">1590</FONT> @Override<a name="line.1590"></a> <FONT color="green">1591</FONT> public T walkInOptimizedOrder(final FieldMatrixChangingVisitor<T> visitor,<a name="line.1591"></a> <FONT color="green">1592</FONT> final int startRow, final int endRow,<a name="line.1592"></a> <FONT color="green">1593</FONT> final int startColumn, final int endColumn)<a name="line.1593"></a> <FONT color="green">1594</FONT> throws MatrixIndexException, MatrixVisitorException {<a name="line.1594"></a> <FONT color="green">1595</FONT> checkSubMatrixIndex(startRow, endRow, startColumn, endColumn);<a name="line.1595"></a> <FONT color="green">1596</FONT> visitor.start(rows, columns, startRow, endRow, startColumn, endColumn);<a name="line.1596"></a> <FONT color="green">1597</FONT> for (int iBlock = startRow / BLOCK_SIZE; iBlock < 1 + endRow / BLOCK_SIZE; ++iBlock) {<a name="line.1597"></a> <FONT color="green">1598</FONT> final int p0 = iBlock * BLOCK_SIZE;<a name="line.1598"></a> <FONT color="green">1599</FONT> final int pStart = Math.max(startRow, p0);<a name="line.1599"></a> <FONT color="green">1600</FONT> final int pEnd = Math.min((iBlock + 1) * BLOCK_SIZE, 1 + endRow);<a name="line.1600"></a> <FONT color="green">1601</FONT> for (int jBlock = startColumn / BLOCK_SIZE; jBlock < 1 + endColumn / BLOCK_SIZE; ++jBlock) {<a name="line.1601"></a> <FONT color="green">1602</FONT> final int jWidth = blockWidth(jBlock);<a name="line.1602"></a> <FONT color="green">1603</FONT> final int q0 = jBlock * BLOCK_SIZE;<a name="line.1603"></a> <FONT color="green">1604</FONT> final int qStart = Math.max(startColumn, q0);<a name="line.1604"></a> <FONT color="green">1605</FONT> final int qEnd = Math.min((jBlock + 1) * BLOCK_SIZE, 1 + endColumn);<a name="line.1605"></a> <FONT color="green">1606</FONT> final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1606"></a> <FONT color="green">1607</FONT> for (int p = pStart; p < pEnd; ++p) {<a name="line.1607"></a> <FONT color="green">1608</FONT> int k = (p - p0) * jWidth + qStart - q0;<a name="line.1608"></a> <FONT color="green">1609</FONT> for (int q = qStart; q < qEnd; ++q) {<a name="line.1609"></a> <FONT color="green">1610</FONT> block[k] = visitor.visit(p, q, block[k]);<a name="line.1610"></a> <FONT color="green">1611</FONT> ++k;<a name="line.1611"></a> <FONT color="green">1612</FONT> }<a name="line.1612"></a> <FONT color="green">1613</FONT> }<a name="line.1613"></a> <FONT color="green">1614</FONT> }<a name="line.1614"></a> <FONT color="green">1615</FONT> }<a name="line.1615"></a> <FONT color="green">1616</FONT> return visitor.end();<a name="line.1616"></a> <FONT color="green">1617</FONT> }<a name="line.1617"></a> <FONT color="green">1618</FONT> <a name="line.1618"></a> <FONT color="green">1619</FONT> /** {@inheritDoc} */<a name="line.1619"></a> <FONT color="green">1620</FONT> @Override<a name="line.1620"></a> <FONT color="green">1621</FONT> public T walkInOptimizedOrder(final FieldMatrixPreservingVisitor<T> visitor,<a name="line.1621"></a> <FONT color="green">1622</FONT> final int startRow, final int endRow,<a name="line.1622"></a> <FONT color="green">1623</FONT> final int startColumn, final int endColumn)<a name="line.1623"></a> <FONT color="green">1624</FONT> throws MatrixIndexException, MatrixVisitorException {<a name="line.1624"></a> <FONT color="green">1625</FONT> checkSubMatrixIndex(startRow, endRow, startColumn, endColumn);<a name="line.1625"></a> <FONT color="green">1626</FONT> visitor.start(rows, columns, startRow, endRow, startColumn, endColumn);<a name="line.1626"></a> <FONT color="green">1627</FONT> for (int iBlock = startRow / BLOCK_SIZE; iBlock < 1 + endRow / BLOCK_SIZE; ++iBlock) {<a name="line.1627"></a> <FONT color="green">1628</FONT> final int p0 = iBlock * BLOCK_SIZE;<a name="line.1628"></a> <FONT color="green">1629</FONT> final int pStart = Math.max(startRow, p0);<a name="line.1629"></a> <FONT color="green">1630</FONT> final int pEnd = Math.min((iBlock + 1) * BLOCK_SIZE, 1 + endRow);<a name="line.1630"></a> <FONT color="green">1631</FONT> for (int jBlock = startColumn / BLOCK_SIZE; jBlock < 1 + endColumn / BLOCK_SIZE; ++jBlock) {<a name="line.1631"></a> <FONT color="green">1632</FONT> final int jWidth = blockWidth(jBlock);<a name="line.1632"></a> <FONT color="green">1633</FONT> final int q0 = jBlock * BLOCK_SIZE;<a name="line.1633"></a> <FONT color="green">1634</FONT> final int qStart = Math.max(startColumn, q0);<a name="line.1634"></a> <FONT color="green">1635</FONT> final int qEnd = Math.min((jBlock + 1) * BLOCK_SIZE, 1 + endColumn);<a name="line.1635"></a> <FONT color="green">1636</FONT> final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1636"></a> <FONT color="green">1637</FONT> for (int p = pStart; p < pEnd; ++p) {<a name="line.1637"></a> <FONT color="green">1638</FONT> int k = (p - p0) * jWidth + qStart - q0;<a name="line.1638"></a> <FONT color="green">1639</FONT> for (int q = qStart; q < qEnd; ++q) {<a name="line.1639"></a> <FONT color="green">1640</FONT> visitor.visit(p, q, block[k]);<a name="line.1640"></a> <FONT color="green">1641</FONT> ++k;<a name="line.1641"></a> <FONT color="green">1642</FONT> }<a name="line.1642"></a> <FONT color="green">1643</FONT> }<a name="line.1643"></a> <FONT color="green">1644</FONT> }<a name="line.1644"></a> <FONT color="green">1645</FONT> }<a name="line.1645"></a> <FONT color="green">1646</FONT> return visitor.end();<a name="line.1646"></a> <FONT color="green">1647</FONT> }<a name="line.1647"></a> <FONT color="green">1648</FONT> <a name="line.1648"></a> <FONT color="green">1649</FONT> /**<a name="line.1649"></a> <FONT color="green">1650</FONT> * Get the height of a block.<a name="line.1650"></a> <FONT color="green">1651</FONT> * @param blockRow row index (in block sense) of the block<a name="line.1651"></a> <FONT color="green">1652</FONT> * @return height (number of rows) of the block<a name="line.1652"></a> <FONT color="green">1653</FONT> */<a name="line.1653"></a> <FONT color="green">1654</FONT> private int blockHeight(final int blockRow) {<a name="line.1654"></a> <FONT color="green">1655</FONT> return (blockRow == blockRows - 1) ? rows - blockRow * BLOCK_SIZE : BLOCK_SIZE;<a name="line.1655"></a> <FONT color="green">1656</FONT> }<a name="line.1656"></a> <FONT color="green">1657</FONT> <a name="line.1657"></a> <FONT color="green">1658</FONT> /**<a name="line.1658"></a> <FONT color="green">1659</FONT> * Get the width of a block.<a name="line.1659"></a> <FONT color="green">1660</FONT> * @param blockColumn column index (in block sense) of the block<a name="line.1660"></a> <FONT color="green">1661</FONT> * @return width (number of columns) of the block<a name="line.1661"></a> <FONT color="green">1662</FONT> */<a name="line.1662"></a> <FONT color="green">1663</FONT> private int blockWidth(final int blockColumn) {<a name="line.1663"></a> <FONT color="green">1664</FONT> return (blockColumn == blockColumns - 1) ? columns - blockColumn * BLOCK_SIZE : BLOCK_SIZE;<a name="line.1664"></a> <FONT color="green">1665</FONT> }<a name="line.1665"></a> <FONT color="green">1666</FONT> <a name="line.1666"></a> <FONT color="green">1667</FONT> }<a name="line.1667"></a> </PRE> </BODY> </HTML>