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<pre><span class="sourceLineNo">001</span>/*******************************************************************************<a name="line.1"></a>
<span class="sourceLineNo">002</span> * Copyright (c) 2016 Diamond Light Source Ltd. and others.<a name="line.2"></a>
<span class="sourceLineNo">003</span> * All rights reserved. This program and the accompanying materials<a name="line.3"></a>
<span class="sourceLineNo">004</span> * are made available under the terms of the Eclipse Public License v1.0<a name="line.4"></a>
<span class="sourceLineNo">005</span> * which accompanies this distribution, and is available at<a name="line.5"></a>
<span class="sourceLineNo">006</span> * http://www.eclipse.org/legal/epl-v10.html<a name="line.6"></a>
<span class="sourceLineNo">007</span> *<a name="line.7"></a>
<span class="sourceLineNo">008</span> * Contributors:<a name="line.8"></a>
<span class="sourceLineNo">009</span> * Diamond Light Source Ltd - initial API and implementation<a name="line.9"></a>
<span class="sourceLineNo">010</span> *******************************************************************************/<a name="line.10"></a>
<span class="sourceLineNo">011</span>package org.eclipse.january.dataset;<a name="line.11"></a>
<span class="sourceLineNo">012</span><a name="line.12"></a>
<span class="sourceLineNo">013</span>import java.lang.reflect.Array;<a name="line.13"></a>
<span class="sourceLineNo">014</span>import java.util.ArrayList;<a name="line.14"></a>
<span class="sourceLineNo">015</span>import java.util.Arrays;<a name="line.15"></a>
<span class="sourceLineNo">016</span>import java.util.Collection;<a name="line.16"></a>
<span class="sourceLineNo">017</span>import java.util.List;<a name="line.17"></a>
<span class="sourceLineNo">018</span>import java.util.SortedSet;<a name="line.18"></a>
<span class="sourceLineNo">019</span>import java.util.TreeSet;<a name="line.19"></a>
<span class="sourceLineNo">020</span><a name="line.20"></a>
<span class="sourceLineNo">021</span>public class ShapeUtils {<a name="line.21"></a>
<span class="sourceLineNo">022</span><a name="line.22"></a>
<span class="sourceLineNo">023</span> private ShapeUtils() {<a name="line.23"></a>
<span class="sourceLineNo">024</span> }<a name="line.24"></a>
<span class="sourceLineNo">025</span><a name="line.25"></a>
<span class="sourceLineNo">026</span> /**<a name="line.26"></a>
<span class="sourceLineNo">027</span> * Calculate total number of items in given shape<a name="line.27"></a>
<span class="sourceLineNo">028</span> * @param shape<a name="line.28"></a>
<span class="sourceLineNo">029</span> * @return size<a name="line.29"></a>
<span class="sourceLineNo">030</span> */<a name="line.30"></a>
<span class="sourceLineNo">031</span> public static long calcLongSize(final int[] shape) {<a name="line.31"></a>
<span class="sourceLineNo">032</span> if (shape == null) { // special case of null-shaped<a name="line.32"></a>
<span class="sourceLineNo">033</span> return 0;<a name="line.33"></a>
<span class="sourceLineNo">034</span> }<a name="line.34"></a>
<span class="sourceLineNo">035</span><a name="line.35"></a>
<span class="sourceLineNo">036</span> final int rank = shape.length;<a name="line.36"></a>
<span class="sourceLineNo">037</span> if (rank == 0) { // special case of zero-rank shape <a name="line.37"></a>
<span class="sourceLineNo">038</span> return 1;<a name="line.38"></a>
<span class="sourceLineNo">039</span> }<a name="line.39"></a>
<span class="sourceLineNo">040</span> <a name="line.40"></a>
<span class="sourceLineNo">041</span> double dsize = 1.0;<a name="line.41"></a>
<span class="sourceLineNo">042</span> for (int i = 0; i &lt; rank; i++) {<a name="line.42"></a>
<span class="sourceLineNo">043</span> // make sure the indexes isn't zero or negative<a name="line.43"></a>
<span class="sourceLineNo">044</span> if (shape[i] == 0) {<a name="line.44"></a>
<span class="sourceLineNo">045</span> return 0;<a name="line.45"></a>
<span class="sourceLineNo">046</span> } else if (shape[i] &lt; 0) {<a name="line.46"></a>
<span class="sourceLineNo">047</span> throw new IllegalArgumentException(String.format(<a name="line.47"></a>
<span class="sourceLineNo">048</span> "The %d-th is %d which is not allowed as it is negative", i, shape[i]));<a name="line.48"></a>
<span class="sourceLineNo">049</span> }<a name="line.49"></a>
<span class="sourceLineNo">050</span> <a name="line.50"></a>
<span class="sourceLineNo">051</span> dsize *= shape[i];<a name="line.51"></a>
<span class="sourceLineNo">052</span> }<a name="line.52"></a>
<span class="sourceLineNo">053</span> <a name="line.53"></a>
<span class="sourceLineNo">054</span> // check to see if the size is larger than an integer, i.e. we can't allocate it<a name="line.54"></a>
<span class="sourceLineNo">055</span> if (dsize &gt; Long.MAX_VALUE) {<a name="line.55"></a>
<span class="sourceLineNo">056</span> throw new IllegalArgumentException("Size of the dataset is too large to allocate");<a name="line.56"></a>
<span class="sourceLineNo">057</span> }<a name="line.57"></a>
<span class="sourceLineNo">058</span> return (long) dsize;<a name="line.58"></a>
<span class="sourceLineNo">059</span> }<a name="line.59"></a>
<span class="sourceLineNo">060</span><a name="line.60"></a>
<span class="sourceLineNo">061</span> /**<a name="line.61"></a>
<span class="sourceLineNo">062</span> * Calculate total number of items in given shape<a name="line.62"></a>
<span class="sourceLineNo">063</span> * @param shape<a name="line.63"></a>
<span class="sourceLineNo">064</span> * @return size<a name="line.64"></a>
<span class="sourceLineNo">065</span> */<a name="line.65"></a>
<span class="sourceLineNo">066</span> public static int calcSize(final int[] shape) {<a name="line.66"></a>
<span class="sourceLineNo">067</span> long lsize = calcLongSize(shape);<a name="line.67"></a>
<span class="sourceLineNo">068</span> <a name="line.68"></a>
<span class="sourceLineNo">069</span> // check to see if the size is larger than an integer, i.e. we can't allocate it<a name="line.69"></a>
<span class="sourceLineNo">070</span> if (lsize &gt; Integer.MAX_VALUE) {<a name="line.70"></a>
<span class="sourceLineNo">071</span> throw new IllegalArgumentException("Size of the dataset is too large to allocate");<a name="line.71"></a>
<span class="sourceLineNo">072</span> }<a name="line.72"></a>
<span class="sourceLineNo">073</span> return (int) lsize;<a name="line.73"></a>
<span class="sourceLineNo">074</span> }<a name="line.74"></a>
<span class="sourceLineNo">075</span><a name="line.75"></a>
<span class="sourceLineNo">076</span> /**<a name="line.76"></a>
<span class="sourceLineNo">077</span> * Check if shapes are broadcast compatible<a name="line.77"></a>
<span class="sourceLineNo">078</span> * <a name="line.78"></a>
<span class="sourceLineNo">079</span> * @param ashape<a name="line.79"></a>
<span class="sourceLineNo">080</span> * @param bshape<a name="line.80"></a>
<span class="sourceLineNo">081</span> * @return true if they are compatible<a name="line.81"></a>
<span class="sourceLineNo">082</span> */<a name="line.82"></a>
<span class="sourceLineNo">083</span> public static boolean areShapesBroadcastCompatible(final int[] ashape, final int[] bshape) {<a name="line.83"></a>
<span class="sourceLineNo">084</span> if (ashape == null || bshape == null) {<a name="line.84"></a>
<span class="sourceLineNo">085</span> return ashape == bshape;<a name="line.85"></a>
<span class="sourceLineNo">086</span> }<a name="line.86"></a>
<span class="sourceLineNo">087</span><a name="line.87"></a>
<span class="sourceLineNo">088</span> if (ashape.length &lt; bshape.length) {<a name="line.88"></a>
<span class="sourceLineNo">089</span> return areShapesBroadcastCompatible(bshape, ashape);<a name="line.89"></a>
<span class="sourceLineNo">090</span> }<a name="line.90"></a>
<span class="sourceLineNo">091</span> <a name="line.91"></a>
<span class="sourceLineNo">092</span> for (int a = ashape.length - bshape.length, b = 0; a &lt; ashape.length &amp;&amp; b &lt; bshape.length; a++, b++) {<a name="line.92"></a>
<span class="sourceLineNo">093</span> if (ashape[a] != bshape[b] &amp;&amp; ashape[a] != 1 &amp;&amp; bshape[b] != 1) {<a name="line.93"></a>
<span class="sourceLineNo">094</span> return false;<a name="line.94"></a>
<span class="sourceLineNo">095</span> }<a name="line.95"></a>
<span class="sourceLineNo">096</span> }<a name="line.96"></a>
<span class="sourceLineNo">097</span> <a name="line.97"></a>
<span class="sourceLineNo">098</span> return true;<a name="line.98"></a>
<span class="sourceLineNo">099</span> }<a name="line.99"></a>
<span class="sourceLineNo">100</span><a name="line.100"></a>
<span class="sourceLineNo">101</span> /**<a name="line.101"></a>
<span class="sourceLineNo">102</span> * Check if shapes are compatible, ignoring extra axes of length 1<a name="line.102"></a>
<span class="sourceLineNo">103</span> * <a name="line.103"></a>
<span class="sourceLineNo">104</span> * @param ashape<a name="line.104"></a>
<span class="sourceLineNo">105</span> * @param bshape<a name="line.105"></a>
<span class="sourceLineNo">106</span> * @return true if they are compatible<a name="line.106"></a>
<span class="sourceLineNo">107</span> */<a name="line.107"></a>
<span class="sourceLineNo">108</span> public static boolean areShapesCompatible(final int[] ashape, final int[] bshape) {<a name="line.108"></a>
<span class="sourceLineNo">109</span> if (ashape == null || bshape == null) {<a name="line.109"></a>
<span class="sourceLineNo">110</span> return ashape == bshape;<a name="line.110"></a>
<span class="sourceLineNo">111</span> }<a name="line.111"></a>
<span class="sourceLineNo">112</span><a name="line.112"></a>
<span class="sourceLineNo">113</span> List&lt;Integer&gt; alist = new ArrayList&lt;Integer&gt;();<a name="line.113"></a>
<span class="sourceLineNo">114</span> <a name="line.114"></a>
<span class="sourceLineNo">115</span> for (int a : ashape) {<a name="line.115"></a>
<span class="sourceLineNo">116</span> if (a &gt; 1) alist.add(a);<a name="line.116"></a>
<span class="sourceLineNo">117</span> }<a name="line.117"></a>
<span class="sourceLineNo">118</span> <a name="line.118"></a>
<span class="sourceLineNo">119</span> final int imax = alist.size();<a name="line.119"></a>
<span class="sourceLineNo">120</span> int i = 0;<a name="line.120"></a>
<span class="sourceLineNo">121</span> for (int b : bshape) {<a name="line.121"></a>
<span class="sourceLineNo">122</span> if (b == 1)<a name="line.122"></a>
<span class="sourceLineNo">123</span> continue;<a name="line.123"></a>
<span class="sourceLineNo">124</span> if (i &gt;= imax || b != alist.get(i++))<a name="line.124"></a>
<span class="sourceLineNo">125</span> return false;<a name="line.125"></a>
<span class="sourceLineNo">126</span> }<a name="line.126"></a>
<span class="sourceLineNo">127</span> <a name="line.127"></a>
<span class="sourceLineNo">128</span> return i == imax;<a name="line.128"></a>
<span class="sourceLineNo">129</span> }<a name="line.129"></a>
<span class="sourceLineNo">130</span><a name="line.130"></a>
<span class="sourceLineNo">131</span> /**<a name="line.131"></a>
<span class="sourceLineNo">132</span> * Check if shapes are compatible but skip axis<a name="line.132"></a>
<span class="sourceLineNo">133</span> * <a name="line.133"></a>
<span class="sourceLineNo">134</span> * @param ashape<a name="line.134"></a>
<span class="sourceLineNo">135</span> * @param bshape<a name="line.135"></a>
<span class="sourceLineNo">136</span> * @param axis<a name="line.136"></a>
<span class="sourceLineNo">137</span> * @return true if they are compatible<a name="line.137"></a>
<span class="sourceLineNo">138</span> */<a name="line.138"></a>
<span class="sourceLineNo">139</span> public static boolean areShapesCompatible(final int[] ashape, final int[] bshape, final int axis) {<a name="line.139"></a>
<span class="sourceLineNo">140</span> if (ashape == null || bshape == null) {<a name="line.140"></a>
<span class="sourceLineNo">141</span> return ashape == bshape;<a name="line.141"></a>
<span class="sourceLineNo">142</span> }<a name="line.142"></a>
<span class="sourceLineNo">143</span><a name="line.143"></a>
<span class="sourceLineNo">144</span> if (ashape.length != bshape.length) {<a name="line.144"></a>
<span class="sourceLineNo">145</span> return false;<a name="line.145"></a>
<span class="sourceLineNo">146</span> }<a name="line.146"></a>
<span class="sourceLineNo">147</span> <a name="line.147"></a>
<span class="sourceLineNo">148</span> final int rank = ashape.length;<a name="line.148"></a>
<span class="sourceLineNo">149</span> for (int i = 0; i &lt; rank; i++) {<a name="line.149"></a>
<span class="sourceLineNo">150</span> if (i != axis &amp;&amp; ashape[i] != bshape[i]) {<a name="line.150"></a>
<span class="sourceLineNo">151</span> return false;<a name="line.151"></a>
<span class="sourceLineNo">152</span> }<a name="line.152"></a>
<span class="sourceLineNo">153</span> }<a name="line.153"></a>
<span class="sourceLineNo">154</span> return true;<a name="line.154"></a>
<span class="sourceLineNo">155</span> }<a name="line.155"></a>
<span class="sourceLineNo">156</span><a name="line.156"></a>
<span class="sourceLineNo">157</span> /**<a name="line.157"></a>
<span class="sourceLineNo">158</span> * Remove dimensions of 1 in given shape - from both ends only, if true<a name="line.158"></a>
<span class="sourceLineNo">159</span> * <a name="line.159"></a>
<span class="sourceLineNo">160</span> * @param oshape<a name="line.160"></a>
<span class="sourceLineNo">161</span> * @param onlyFromEnds<a name="line.161"></a>
<span class="sourceLineNo">162</span> * @return newly squeezed shape (or original if unsqueezed)<a name="line.162"></a>
<span class="sourceLineNo">163</span> */<a name="line.163"></a>
<span class="sourceLineNo">164</span> public static int[] squeezeShape(final int[] oshape, boolean onlyFromEnds) {<a name="line.164"></a>
<span class="sourceLineNo">165</span> int unitDims = 0;<a name="line.165"></a>
<span class="sourceLineNo">166</span> int rank = oshape.length;<a name="line.166"></a>
<span class="sourceLineNo">167</span> int start = 0;<a name="line.167"></a>
<span class="sourceLineNo">168</span> <a name="line.168"></a>
<span class="sourceLineNo">169</span> if (onlyFromEnds) {<a name="line.169"></a>
<span class="sourceLineNo">170</span> int i = rank - 1;<a name="line.170"></a>
<span class="sourceLineNo">171</span> for (; i &gt;= 0; i--) {<a name="line.171"></a>
<span class="sourceLineNo">172</span> if (oshape[i] == 1) {<a name="line.172"></a>
<span class="sourceLineNo">173</span> unitDims++;<a name="line.173"></a>
<span class="sourceLineNo">174</span> } else {<a name="line.174"></a>
<span class="sourceLineNo">175</span> break;<a name="line.175"></a>
<span class="sourceLineNo">176</span> }<a name="line.176"></a>
<span class="sourceLineNo">177</span> }<a name="line.177"></a>
<span class="sourceLineNo">178</span> for (int j = 0; j &lt;= i; j++) {<a name="line.178"></a>
<span class="sourceLineNo">179</span> if (oshape[j] == 1) {<a name="line.179"></a>
<span class="sourceLineNo">180</span> unitDims++;<a name="line.180"></a>
<span class="sourceLineNo">181</span> } else {<a name="line.181"></a>
<span class="sourceLineNo">182</span> start = j;<a name="line.182"></a>
<span class="sourceLineNo">183</span> break;<a name="line.183"></a>
<span class="sourceLineNo">184</span> }<a name="line.184"></a>
<span class="sourceLineNo">185</span> }<a name="line.185"></a>
<span class="sourceLineNo">186</span> } else {<a name="line.186"></a>
<span class="sourceLineNo">187</span> for (int i = 0; i &lt; rank; i++) {<a name="line.187"></a>
<span class="sourceLineNo">188</span> if (oshape[i] == 1) {<a name="line.188"></a>
<span class="sourceLineNo">189</span> unitDims++;<a name="line.189"></a>
<span class="sourceLineNo">190</span> }<a name="line.190"></a>
<span class="sourceLineNo">191</span> }<a name="line.191"></a>
<span class="sourceLineNo">192</span> }<a name="line.192"></a>
<span class="sourceLineNo">193</span> <a name="line.193"></a>
<span class="sourceLineNo">194</span> if (unitDims == 0) {<a name="line.194"></a>
<span class="sourceLineNo">195</span> return oshape;<a name="line.195"></a>
<span class="sourceLineNo">196</span> }<a name="line.196"></a>
<span class="sourceLineNo">197</span> <a name="line.197"></a>
<span class="sourceLineNo">198</span> int[] newDims = new int[rank - unitDims];<a name="line.198"></a>
<span class="sourceLineNo">199</span> if (unitDims == rank)<a name="line.199"></a>
<span class="sourceLineNo">200</span> return newDims; // zero-rank dataset<a name="line.200"></a>
<span class="sourceLineNo">201</span> <a name="line.201"></a>
<span class="sourceLineNo">202</span> if (onlyFromEnds) {<a name="line.202"></a>
<span class="sourceLineNo">203</span> rank = newDims.length;<a name="line.203"></a>
<span class="sourceLineNo">204</span> for (int i = 0; i &lt; rank; i++) {<a name="line.204"></a>
<span class="sourceLineNo">205</span> newDims[i] = oshape[i+start];<a name="line.205"></a>
<span class="sourceLineNo">206</span> }<a name="line.206"></a>
<span class="sourceLineNo">207</span> } else {<a name="line.207"></a>
<span class="sourceLineNo">208</span> int j = 0;<a name="line.208"></a>
<span class="sourceLineNo">209</span> for (int i = 0; i &lt; rank; i++) {<a name="line.209"></a>
<span class="sourceLineNo">210</span> if (oshape[i] &gt; 1) {<a name="line.210"></a>
<span class="sourceLineNo">211</span> newDims[j++] = oshape[i];<a name="line.211"></a>
<span class="sourceLineNo">212</span> if (j &gt;= newDims.length)<a name="line.212"></a>
<span class="sourceLineNo">213</span> break;<a name="line.213"></a>
<span class="sourceLineNo">214</span> }<a name="line.214"></a>
<span class="sourceLineNo">215</span> }<a name="line.215"></a>
<span class="sourceLineNo">216</span> }<a name="line.216"></a>
<span class="sourceLineNo">217</span> <a name="line.217"></a>
<span class="sourceLineNo">218</span> return newDims;<a name="line.218"></a>
<span class="sourceLineNo">219</span> }<a name="line.219"></a>
<span class="sourceLineNo">220</span><a name="line.220"></a>
<span class="sourceLineNo">221</span> /**<a name="line.221"></a>
<span class="sourceLineNo">222</span> * Remove dimension of 1 in given shape<a name="line.222"></a>
<span class="sourceLineNo">223</span> * <a name="line.223"></a>
<span class="sourceLineNo">224</span> * @param oshape<a name="line.224"></a>
<span class="sourceLineNo">225</span> * @param axis<a name="line.225"></a>
<span class="sourceLineNo">226</span> * @return newly squeezed shape<a name="line.226"></a>
<span class="sourceLineNo">227</span> */<a name="line.227"></a>
<span class="sourceLineNo">228</span> public static int[] squeezeShape(final int[] oshape, int axis) {<a name="line.228"></a>
<span class="sourceLineNo">229</span> if (oshape == null) {<a name="line.229"></a>
<span class="sourceLineNo">230</span> return null;<a name="line.230"></a>
<span class="sourceLineNo">231</span> }<a name="line.231"></a>
<span class="sourceLineNo">232</span><a name="line.232"></a>
<span class="sourceLineNo">233</span> final int rank = oshape.length;<a name="line.233"></a>
<span class="sourceLineNo">234</span> if (rank == 0) {<a name="line.234"></a>
<span class="sourceLineNo">235</span> return new int[0];<a name="line.235"></a>
<span class="sourceLineNo">236</span> }<a name="line.236"></a>
<span class="sourceLineNo">237</span> if (axis &lt; 0) {<a name="line.237"></a>
<span class="sourceLineNo">238</span> axis += rank;<a name="line.238"></a>
<span class="sourceLineNo">239</span> }<a name="line.239"></a>
<span class="sourceLineNo">240</span> if (axis &lt; 0 || axis &gt;= rank) {<a name="line.240"></a>
<span class="sourceLineNo">241</span> throw new IllegalArgumentException("Axis argument is outside allowed range");<a name="line.241"></a>
<span class="sourceLineNo">242</span> }<a name="line.242"></a>
<span class="sourceLineNo">243</span> int[] nshape = new int[rank-1];<a name="line.243"></a>
<span class="sourceLineNo">244</span> for (int i = 0; i &lt; axis; i++) {<a name="line.244"></a>
<span class="sourceLineNo">245</span> nshape[i] = oshape[i];<a name="line.245"></a>
<span class="sourceLineNo">246</span> }<a name="line.246"></a>
<span class="sourceLineNo">247</span> for (int i = axis+1; i &lt; rank; i++) {<a name="line.247"></a>
<span class="sourceLineNo">248</span> nshape[i-1] = oshape[i];<a name="line.248"></a>
<span class="sourceLineNo">249</span> }<a name="line.249"></a>
<span class="sourceLineNo">250</span> return nshape;<a name="line.250"></a>
<span class="sourceLineNo">251</span> }<a name="line.251"></a>
<span class="sourceLineNo">252</span><a name="line.252"></a>
<span class="sourceLineNo">253</span> /**<a name="line.253"></a>
<span class="sourceLineNo">254</span> * Get shape from object (array or list supported)<a name="line.254"></a>
<span class="sourceLineNo">255</span> * @param obj<a name="line.255"></a>
<span class="sourceLineNo">256</span> * @return shape can be null if obj is null<a name="line.256"></a>
<span class="sourceLineNo">257</span> */<a name="line.257"></a>
<span class="sourceLineNo">258</span> public static int[] getShapeFromObject(final Object obj) {<a name="line.258"></a>
<span class="sourceLineNo">259</span> if (obj == null) {<a name="line.259"></a>
<span class="sourceLineNo">260</span> return null;<a name="line.260"></a>
<span class="sourceLineNo">261</span> }<a name="line.261"></a>
<span class="sourceLineNo">262</span><a name="line.262"></a>
<span class="sourceLineNo">263</span> ArrayList&lt;Integer&gt; lshape = new ArrayList&lt;Integer&gt;();<a name="line.263"></a>
<span class="sourceLineNo">264</span> getShapeFromObj(lshape, obj, 0);<a name="line.264"></a>
<span class="sourceLineNo">265</span><a name="line.265"></a>
<span class="sourceLineNo">266</span> final int rank = lshape.size();<a name="line.266"></a>
<span class="sourceLineNo">267</span> final int[] shape = new int[rank];<a name="line.267"></a>
<span class="sourceLineNo">268</span> for (int i = 0; i &lt; rank; i++) {<a name="line.268"></a>
<span class="sourceLineNo">269</span> shape[i] = lshape.get(i);<a name="line.269"></a>
<span class="sourceLineNo">270</span> }<a name="line.270"></a>
<span class="sourceLineNo">271</span> <a name="line.271"></a>
<span class="sourceLineNo">272</span> return shape;<a name="line.272"></a>
<span class="sourceLineNo">273</span> }<a name="line.273"></a>
<span class="sourceLineNo">274</span><a name="line.274"></a>
<span class="sourceLineNo">275</span> /**<a name="line.275"></a>
<span class="sourceLineNo">276</span> * Get shape from object<a name="line.276"></a>
<span class="sourceLineNo">277</span> * @param ldims<a name="line.277"></a>
<span class="sourceLineNo">278</span> * @param obj<a name="line.278"></a>
<span class="sourceLineNo">279</span> * @param depth<a name="line.279"></a>
<span class="sourceLineNo">280</span> * @return true if there is a possibility of differing lengths<a name="line.280"></a>
<span class="sourceLineNo">281</span> */<a name="line.281"></a>
<span class="sourceLineNo">282</span> private static boolean getShapeFromObj(final ArrayList&lt;Integer&gt; ldims, Object obj, int depth) {<a name="line.282"></a>
<span class="sourceLineNo">283</span> if (obj == null)<a name="line.283"></a>
<span class="sourceLineNo">284</span> return true;<a name="line.284"></a>
<span class="sourceLineNo">285</span> <a name="line.285"></a>
<span class="sourceLineNo">286</span> if (obj instanceof List&lt;?&gt;) {<a name="line.286"></a>
<span class="sourceLineNo">287</span> List&lt;?&gt; jl = (List&lt;?&gt;) obj;<a name="line.287"></a>
<span class="sourceLineNo">288</span> int l = jl.size();<a name="line.288"></a>
<span class="sourceLineNo">289</span> updateShape(ldims, depth, l);<a name="line.289"></a>
<span class="sourceLineNo">290</span> for (int i = 0; i &lt; l; i++) {<a name="line.290"></a>
<span class="sourceLineNo">291</span> Object lo = jl.get(i);<a name="line.291"></a>
<span class="sourceLineNo">292</span> if (!getShapeFromObj(ldims, lo, depth + 1)) {<a name="line.292"></a>
<span class="sourceLineNo">293</span> break;<a name="line.293"></a>
<span class="sourceLineNo">294</span> }<a name="line.294"></a>
<span class="sourceLineNo">295</span> }<a name="line.295"></a>
<span class="sourceLineNo">296</span> return true;<a name="line.296"></a>
<span class="sourceLineNo">297</span> }<a name="line.297"></a>
<span class="sourceLineNo">298</span> Class&lt;? extends Object&gt; ca = obj.getClass().getComponentType();<a name="line.298"></a>
<span class="sourceLineNo">299</span> if (ca != null) {<a name="line.299"></a>
<span class="sourceLineNo">300</span> final int l = Array.getLength(obj);<a name="line.300"></a>
<span class="sourceLineNo">301</span> updateShape(ldims, depth, l);<a name="line.301"></a>
<span class="sourceLineNo">302</span> if (InterfaceUtils.isElementSupported(ca)) {<a name="line.302"></a>
<span class="sourceLineNo">303</span> return true;<a name="line.303"></a>
<span class="sourceLineNo">304</span> }<a name="line.304"></a>
<span class="sourceLineNo">305</span> for (int i = 0; i &lt; l; i++) {<a name="line.305"></a>
<span class="sourceLineNo">306</span> Object lo = Array.get(obj, i);<a name="line.306"></a>
<span class="sourceLineNo">307</span> if (!getShapeFromObj(ldims, lo, depth + 1)) {<a name="line.307"></a>
<span class="sourceLineNo">308</span> break;<a name="line.308"></a>
<span class="sourceLineNo">309</span> }<a name="line.309"></a>
<span class="sourceLineNo">310</span> }<a name="line.310"></a>
<span class="sourceLineNo">311</span> return true;<a name="line.311"></a>
<span class="sourceLineNo">312</span> } else if (obj instanceof IDataset) {<a name="line.312"></a>
<span class="sourceLineNo">313</span> int[] s = ((IDataset) obj).getShape();<a name="line.313"></a>
<span class="sourceLineNo">314</span> for (int i = 0; i &lt; s.length; i++) {<a name="line.314"></a>
<span class="sourceLineNo">315</span> updateShape(ldims, depth++, s[i]);<a name="line.315"></a>
<span class="sourceLineNo">316</span> }<a name="line.316"></a>
<span class="sourceLineNo">317</span> return true;<a name="line.317"></a>
<span class="sourceLineNo">318</span> } else {<a name="line.318"></a>
<span class="sourceLineNo">319</span> return false; // not an array of any type<a name="line.319"></a>
<span class="sourceLineNo">320</span> }<a name="line.320"></a>
<span class="sourceLineNo">321</span> }<a name="line.321"></a>
<span class="sourceLineNo">322</span><a name="line.322"></a>
<span class="sourceLineNo">323</span> private static void updateShape(final ArrayList&lt;Integer&gt; ldims, final int depth, final int l) {<a name="line.323"></a>
<span class="sourceLineNo">324</span> if (depth &gt;= ldims.size()) {<a name="line.324"></a>
<span class="sourceLineNo">325</span> ldims.add(l);<a name="line.325"></a>
<span class="sourceLineNo">326</span> } else if (l &gt; ldims.get(depth)) {<a name="line.326"></a>
<span class="sourceLineNo">327</span> ldims.set(depth, l);<a name="line.327"></a>
<span class="sourceLineNo">328</span> }<a name="line.328"></a>
<span class="sourceLineNo">329</span> }<a name="line.329"></a>
<span class="sourceLineNo">330</span><a name="line.330"></a>
<span class="sourceLineNo">331</span> /**<a name="line.331"></a>
<span class="sourceLineNo">332</span> * Get n-D position from given index<a name="line.332"></a>
<span class="sourceLineNo">333</span> * @param n index<a name="line.333"></a>
<span class="sourceLineNo">334</span> * @param shape<a name="line.334"></a>
<span class="sourceLineNo">335</span> * @return n-D position<a name="line.335"></a>
<span class="sourceLineNo">336</span> */<a name="line.336"></a>
<span class="sourceLineNo">337</span> public static int[] getNDPositionFromShape(int n, int[] shape) {<a name="line.337"></a>
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<span class="sourceLineNo">339</span> return null;<a name="line.339"></a>
<span class="sourceLineNo">340</span> }<a name="line.340"></a>
<span class="sourceLineNo">341</span><a name="line.341"></a>
<span class="sourceLineNo">342</span> int rank = shape.length;<a name="line.342"></a>
<span class="sourceLineNo">343</span> if (rank == 0) {<a name="line.343"></a>
<span class="sourceLineNo">344</span> return new int[0];<a name="line.344"></a>
<span class="sourceLineNo">345</span> }<a name="line.345"></a>
<span class="sourceLineNo">346</span><a name="line.346"></a>
<span class="sourceLineNo">347</span> if (rank == 1) {<a name="line.347"></a>
<span class="sourceLineNo">348</span> return new int[] { n };<a name="line.348"></a>
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<span class="sourceLineNo">350</span><a name="line.350"></a>
<span class="sourceLineNo">351</span> int[] output = new int[rank];<a name="line.351"></a>
<span class="sourceLineNo">352</span> for (rank--; rank &gt; 0; rank--) {<a name="line.352"></a>
<span class="sourceLineNo">353</span> output[rank] = n % shape[rank];<a name="line.353"></a>
<span class="sourceLineNo">354</span> n /= shape[rank];<a name="line.354"></a>
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<span class="sourceLineNo">356</span> output[0] = n;<a name="line.356"></a>
<span class="sourceLineNo">357</span> <a name="line.357"></a>
<span class="sourceLineNo">358</span> return output;<a name="line.358"></a>
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<span class="sourceLineNo">360</span><a name="line.360"></a>
<span class="sourceLineNo">361</span> /**<a name="line.361"></a>
<span class="sourceLineNo">362</span> * Get flattened view index of given position <a name="line.362"></a>
<span class="sourceLineNo">363</span> * @param shape<a name="line.363"></a>
<span class="sourceLineNo">364</span> * @param pos<a name="line.364"></a>
<span class="sourceLineNo">365</span> * the integer array specifying the n-D position<a name="line.365"></a>
<span class="sourceLineNo">366</span> * @return the index on the flattened dataset<a name="line.366"></a>
<span class="sourceLineNo">367</span> */<a name="line.367"></a>
<span class="sourceLineNo">368</span> public static int getFlat1DIndex(final int[] shape, final int[] pos) {<a name="line.368"></a>
<span class="sourceLineNo">369</span> final int imax = pos.length;<a name="line.369"></a>
<span class="sourceLineNo">370</span> if (imax == 0) {<a name="line.370"></a>
<span class="sourceLineNo">371</span> return 0;<a name="line.371"></a>
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<span class="sourceLineNo">373</span> <a name="line.373"></a>
<span class="sourceLineNo">374</span> return AbstractDataset.get1DIndexFromShape(shape, pos);<a name="line.374"></a>
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<span class="sourceLineNo">376</span><a name="line.376"></a>
<span class="sourceLineNo">377</span> /**<a name="line.377"></a>
<span class="sourceLineNo">378</span> * This function takes a dataset and checks its shape against another dataset. If they are both of the same size,<a name="line.378"></a>
<span class="sourceLineNo">379</span> * then this returns with no error, if there is a problem, then an error is thrown.<a name="line.379"></a>
<span class="sourceLineNo">380</span> * <a name="line.380"></a>
<span class="sourceLineNo">381</span> * @param g<a name="line.381"></a>
<span class="sourceLineNo">382</span> * The first dataset to be compared<a name="line.382"></a>
<span class="sourceLineNo">383</span> * @param h<a name="line.383"></a>
<span class="sourceLineNo">384</span> * The second dataset to be compared<a name="line.384"></a>
<span class="sourceLineNo">385</span> * @throws IllegalArgumentException<a name="line.385"></a>
<span class="sourceLineNo">386</span> * This will be thrown if there is a problem with the compatibility<a name="line.386"></a>
<span class="sourceLineNo">387</span> */<a name="line.387"></a>
<span class="sourceLineNo">388</span> public static void checkCompatibility(final ILazyDataset g, final ILazyDataset h) throws IllegalArgumentException {<a name="line.388"></a>
<span class="sourceLineNo">389</span> if (!areShapesCompatible(g.getShape(), h.getShape())) {<a name="line.389"></a>
<span class="sourceLineNo">390</span> throw new IllegalArgumentException("Shapes do not match");<a name="line.390"></a>
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<span class="sourceLineNo">392</span> }<a name="line.392"></a>
<span class="sourceLineNo">393</span><a name="line.393"></a>
<span class="sourceLineNo">394</span> /**<a name="line.394"></a>
<span class="sourceLineNo">395</span> * Check that axis is in range [-rank,rank)<a name="line.395"></a>
<span class="sourceLineNo">396</span> * <a name="line.396"></a>
<span class="sourceLineNo">397</span> * @param rank<a name="line.397"></a>
<span class="sourceLineNo">398</span> * @param axis<a name="line.398"></a>
<span class="sourceLineNo">399</span> * @return sanitized axis in range [0, rank)<a name="line.399"></a>
<span class="sourceLineNo">400</span> * @since 2.1<a name="line.400"></a>
<span class="sourceLineNo">401</span> */<a name="line.401"></a>
<span class="sourceLineNo">402</span> public static int checkAxis(int rank, int axis) {<a name="line.402"></a>
<span class="sourceLineNo">403</span> if (axis &lt; 0) {<a name="line.403"></a>
<span class="sourceLineNo">404</span> axis += rank;<a name="line.404"></a>
<span class="sourceLineNo">405</span> }<a name="line.405"></a>
<span class="sourceLineNo">406</span> <a name="line.406"></a>
<span class="sourceLineNo">407</span> if (axis &lt; 0 || axis &gt;= rank) {<a name="line.407"></a>
<span class="sourceLineNo">408</span> throw new IllegalArgumentException("Axis " + axis + " given is out of range [0, " + rank + ")");<a name="line.408"></a>
<span class="sourceLineNo">409</span> }<a name="line.409"></a>
<span class="sourceLineNo">410</span> return axis;<a name="line.410"></a>
<span class="sourceLineNo">411</span> }<a name="line.411"></a>
<span class="sourceLineNo">412</span><a name="line.412"></a>
<span class="sourceLineNo">413</span> private static int[] convert(Collection&lt;Integer&gt; list) {<a name="line.413"></a>
<span class="sourceLineNo">414</span> int[] array = new int[list.size()];<a name="line.414"></a>
<span class="sourceLineNo">415</span> int i = 0;<a name="line.415"></a>
<span class="sourceLineNo">416</span> for (Integer l : list) {<a name="line.416"></a>
<span class="sourceLineNo">417</span> array[i++] = l;<a name="line.417"></a>
<span class="sourceLineNo">418</span> }<a name="line.418"></a>
<span class="sourceLineNo">419</span> return array;<a name="line.419"></a>
<span class="sourceLineNo">420</span> }<a name="line.420"></a>
<span class="sourceLineNo">421</span><a name="line.421"></a>
<span class="sourceLineNo">422</span> /**<a name="line.422"></a>
<span class="sourceLineNo">423</span> * Check that all axes are in range [-rank,rank)<a name="line.423"></a>
<span class="sourceLineNo">424</span> * @param rank<a name="line.424"></a>
<span class="sourceLineNo">425</span> * @param axes<a name="line.425"></a>
<span class="sourceLineNo">426</span> * @return sanitized axes in range [0, rank) and sorted in increasing order<a name="line.426"></a>
<span class="sourceLineNo">427</span> * @since 2.2<a name="line.427"></a>
<span class="sourceLineNo">428</span> */<a name="line.428"></a>
<span class="sourceLineNo">429</span> public static int[] checkAxes(int rank, int... axes) {<a name="line.429"></a>
<span class="sourceLineNo">430</span> return convert(sanitizeAxes(rank, axes));<a name="line.430"></a>
<span class="sourceLineNo">431</span> }<a name="line.431"></a>
<span class="sourceLineNo">432</span><a name="line.432"></a>
<span class="sourceLineNo">433</span> /**<a name="line.433"></a>
<span class="sourceLineNo">434</span> * Check that all axes are in range [-rank,rank)<a name="line.434"></a>
<span class="sourceLineNo">435</span> * @param rank<a name="line.435"></a>
<span class="sourceLineNo">436</span> * @param axes<a name="line.436"></a>
<span class="sourceLineNo">437</span> * @return sanitized axes in range [0, rank) and sorted in increasing order<a name="line.437"></a>
<span class="sourceLineNo">438</span> * @since 2.2<a name="line.438"></a>
<span class="sourceLineNo">439</span> */<a name="line.439"></a>
<span class="sourceLineNo">440</span> private static SortedSet&lt;Integer&gt; sanitizeAxes(int rank, int... axes) {<a name="line.440"></a>
<span class="sourceLineNo">441</span> SortedSet&lt;Integer&gt; nAxes = new TreeSet&lt;&gt;(); <a name="line.441"></a>
<span class="sourceLineNo">442</span> for (int i = 0; i &lt; axes.length; i++) {<a name="line.442"></a>
<span class="sourceLineNo">443</span> nAxes.add(checkAxis(rank, axes[i]));<a name="line.443"></a>
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<span class="sourceLineNo">445</span><a name="line.445"></a>
<span class="sourceLineNo">446</span> return nAxes;<a name="line.446"></a>
<span class="sourceLineNo">447</span> }<a name="line.447"></a>
<span class="sourceLineNo">448</span><a name="line.448"></a>
<span class="sourceLineNo">449</span> /**<a name="line.449"></a>
<span class="sourceLineNo">450</span> * @param rank<a name="line.450"></a>
<span class="sourceLineNo">451</span> * @param axes<a name="line.451"></a>
<span class="sourceLineNo">452</span> * @return remaining axes not given by input<a name="line.452"></a>
<span class="sourceLineNo">453</span> * @since 2.2<a name="line.453"></a>
<span class="sourceLineNo">454</span> */<a name="line.454"></a>
<span class="sourceLineNo">455</span> public static int[] getRemainingAxes(int rank, int... axes) {<a name="line.455"></a>
<span class="sourceLineNo">456</span> SortedSet&lt;Integer&gt; nAxes = sanitizeAxes(rank, axes);<a name="line.456"></a>
<span class="sourceLineNo">457</span><a name="line.457"></a>
<span class="sourceLineNo">458</span> int[] remains = new int[rank - axes.length];<a name="line.458"></a>
<span class="sourceLineNo">459</span> int j = 0;<a name="line.459"></a>
<span class="sourceLineNo">460</span> for (int i = 0; i &lt; rank; i++) {<a name="line.460"></a>
<span class="sourceLineNo">461</span> if (!nAxes.contains(i)) {<a name="line.461"></a>
<span class="sourceLineNo">462</span> remains[j++] = i;<a name="line.462"></a>
<span class="sourceLineNo">463</span> }<a name="line.463"></a>
<span class="sourceLineNo">464</span> }<a name="line.464"></a>
<span class="sourceLineNo">465</span> return remains;<a name="line.465"></a>
<span class="sourceLineNo">466</span> }<a name="line.466"></a>
<span class="sourceLineNo">467</span><a name="line.467"></a>
<span class="sourceLineNo">468</span> /**<a name="line.468"></a>
<span class="sourceLineNo">469</span> * Remove axes from shape<a name="line.469"></a>
<span class="sourceLineNo">470</span> * @param shape<a name="line.470"></a>
<span class="sourceLineNo">471</span> * @param axes<a name="line.471"></a>
<span class="sourceLineNo">472</span> * @return reduced shape<a name="line.472"></a>
<span class="sourceLineNo">473</span> * @since 2.2<a name="line.473"></a>
<span class="sourceLineNo">474</span> */<a name="line.474"></a>
<span class="sourceLineNo">475</span> public static int[] reduceShape(int[] shape, int... axes) {<a name="line.475"></a>
<span class="sourceLineNo">476</span> int[] remain = getRemainingAxes(shape.length, axes);<a name="line.476"></a>
<span class="sourceLineNo">477</span> for (int i = 0; i &lt; remain.length; i++) {<a name="line.477"></a>
<span class="sourceLineNo">478</span> int a = remain[i];<a name="line.478"></a>
<span class="sourceLineNo">479</span> remain[i] = shape[a];<a name="line.479"></a>
<span class="sourceLineNo">480</span> }<a name="line.480"></a>
<span class="sourceLineNo">481</span> return remain;<a name="line.481"></a>
<span class="sourceLineNo">482</span> }<a name="line.482"></a>
<span class="sourceLineNo">483</span><a name="line.483"></a>
<span class="sourceLineNo">484</span> /**<a name="line.484"></a>
<span class="sourceLineNo">485</span> * Set reduced axes to 1<a name="line.485"></a>
<span class="sourceLineNo">486</span> * @param shape<a name="line.486"></a>
<span class="sourceLineNo">487</span> * @param axes<a name="line.487"></a>
<span class="sourceLineNo">488</span> * @return shape with same rank<a name="line.488"></a>
<span class="sourceLineNo">489</span> * @since 2.2<a name="line.489"></a>
<span class="sourceLineNo">490</span> */<a name="line.490"></a>
<span class="sourceLineNo">491</span> public static int[] getReducedShapeKeepRank(int[] shape, int... axes) {<a name="line.491"></a>
<span class="sourceLineNo">492</span> int[] keep = shape.clone();<a name="line.492"></a>
<span class="sourceLineNo">493</span> axes = checkAxes(shape.length, axes);<a name="line.493"></a>
<span class="sourceLineNo">494</span> for (int i : axes) {<a name="line.494"></a>
<span class="sourceLineNo">495</span> keep[i] = 1;<a name="line.495"></a>
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<span class="sourceLineNo">497</span> return keep;<a name="line.497"></a>
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<span class="sourceLineNo">499</span><a name="line.499"></a>
<span class="sourceLineNo">500</span> /**<a name="line.500"></a>
<span class="sourceLineNo">501</span> * @param a<a name="line.501"></a>
<span class="sourceLineNo">502</span> * @param b<a name="line.502"></a>
<span class="sourceLineNo">503</span> * @return true if arrays only differs by unit entries<a name="line.503"></a>
<span class="sourceLineNo">504</span> * @since 2.2<a name="line.504"></a>
<span class="sourceLineNo">505</span> */<a name="line.505"></a>
<span class="sourceLineNo">506</span> public static boolean differsByOnes(int[] a, int[] b) {<a name="line.506"></a>
<span class="sourceLineNo">507</span> int aRank = a.length;<a name="line.507"></a>
<span class="sourceLineNo">508</span> int bRank = b.length;<a name="line.508"></a>
<span class="sourceLineNo">509</span> int ai = 0;<a name="line.509"></a>
<span class="sourceLineNo">510</span> int bi = 0;<a name="line.510"></a>
<span class="sourceLineNo">511</span> int al = 1;<a name="line.511"></a>
<span class="sourceLineNo">512</span> int bl = 1;<a name="line.512"></a>
<span class="sourceLineNo">513</span> do {<a name="line.513"></a>
<span class="sourceLineNo">514</span> while (ai &lt; aRank &amp;&amp; (al = a[ai++]) == 1) { // next non-unit dimension<a name="line.514"></a>
<span class="sourceLineNo">515</span> }<a name="line.515"></a>
<span class="sourceLineNo">516</span> while (bi &lt; bRank &amp;&amp; (bl = b[bi++]) == 1) {<a name="line.516"></a>
<span class="sourceLineNo">517</span> }<a name="line.517"></a>
<span class="sourceLineNo">518</span> if (al != bl) {<a name="line.518"></a>
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<span class="sourceLineNo">521</span> } while (ai &lt; aRank &amp;&amp; bi &lt; bRank);<a name="line.521"></a>
<span class="sourceLineNo">522</span><a name="line.522"></a>
<span class="sourceLineNo">523</span> if (ai == aRank) {<a name="line.523"></a>
<span class="sourceLineNo">524</span> while (bi &lt; bRank) {<a name="line.524"></a>
<span class="sourceLineNo">525</span> if (b[bi++] != 1) {<a name="line.525"></a>
<span class="sourceLineNo">526</span> return false;<a name="line.526"></a>
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<span class="sourceLineNo">528</span> }<a name="line.528"></a>
<span class="sourceLineNo">529</span> }<a name="line.529"></a>
<span class="sourceLineNo">530</span> if (bi == bRank) {<a name="line.530"></a>
<span class="sourceLineNo">531</span> while (ai &lt; aRank) {<a name="line.531"></a>
<span class="sourceLineNo">532</span> if (a[ai++] != 1) {<a name="line.532"></a>
<span class="sourceLineNo">533</span> return false;<a name="line.533"></a>
<span class="sourceLineNo">534</span> }<a name="line.534"></a>
<span class="sourceLineNo">535</span> }<a name="line.535"></a>
<span class="sourceLineNo">536</span> }<a name="line.536"></a>
<span class="sourceLineNo">537</span> return true;<a name="line.537"></a>
<span class="sourceLineNo">538</span> }<a name="line.538"></a>
<span class="sourceLineNo">539</span><a name="line.539"></a>
<span class="sourceLineNo">540</span> /**<a name="line.540"></a>
<span class="sourceLineNo">541</span> * Calculate the padding difference between two shapes. Padding can be positive (negative)<a name="line.541"></a>
<span class="sourceLineNo">542</span> * for added (removed) dimensions. NB positive or negative padding is given after matched<a name="line.542"></a>
<span class="sourceLineNo">543</span> * dimensions<a name="line.543"></a>
<span class="sourceLineNo">544</span> * @param aShape<a name="line.544"></a>
<span class="sourceLineNo">545</span> * @param bShape<a name="line.545"></a>
<span class="sourceLineNo">546</span> * @return padding can be null if shapes are equal<a name="line.546"></a>
<span class="sourceLineNo">547</span> * @throws IllegalArgumentException if one shape is null but not the other, or if shapes do<a name="line.547"></a>
<span class="sourceLineNo">548</span> * not possess common non-unit lengths<a name="line.548"></a>
<span class="sourceLineNo">549</span> * @since 2.2<a name="line.549"></a>
<span class="sourceLineNo">550</span> */<a name="line.550"></a>
<span class="sourceLineNo">551</span> public static int[] calcShapePadding(int[] aShape, int[] bShape) {<a name="line.551"></a>
<span class="sourceLineNo">552</span> if (Arrays.equals(aShape, bShape)) {<a name="line.552"></a>
<span class="sourceLineNo">553</span> return null;<a name="line.553"></a>
<span class="sourceLineNo">554</span> }<a name="line.554"></a>
<span class="sourceLineNo">555</span><a name="line.555"></a>
<span class="sourceLineNo">556</span> if (aShape == null || bShape == null) {<a name="line.556"></a>
<span class="sourceLineNo">557</span> throw new IllegalArgumentException("If one shape is null then the other must be null too");<a name="line.557"></a>
<span class="sourceLineNo">558</span> }<a name="line.558"></a>
<span class="sourceLineNo">559</span><a name="line.559"></a>
<span class="sourceLineNo">560</span> if (!differsByOnes(aShape, bShape)) {<a name="line.560"></a>
<span class="sourceLineNo">561</span> throw new IllegalArgumentException("Non-unit lengths in shapes must be equal");<a name="line.561"></a>
<span class="sourceLineNo">562</span> }<a name="line.562"></a>
<span class="sourceLineNo">563</span> int aRank = aShape.length;<a name="line.563"></a>
<span class="sourceLineNo">564</span> int bRank = bShape.length;<a name="line.564"></a>
<span class="sourceLineNo">565</span><a name="line.565"></a>
<span class="sourceLineNo">566</span> int[] padding;<a name="line.566"></a>
<span class="sourceLineNo">567</span> if (aRank == 0 || bRank == 0) {<a name="line.567"></a>
<span class="sourceLineNo">568</span> padding = new int[1];<a name="line.568"></a>
<span class="sourceLineNo">569</span> padding[0] = aRank == 0 ? bRank : -aRank;<a name="line.569"></a>
<span class="sourceLineNo">570</span> return padding;<a name="line.570"></a>
<span class="sourceLineNo">571</span> }<a name="line.571"></a>
<span class="sourceLineNo">572</span><a name="line.572"></a>
<span class="sourceLineNo">573</span> padding = new int[Math.max(aRank, bRank) + 2];<a name="line.573"></a>
<span class="sourceLineNo">574</span> int ai = 0;<a name="line.574"></a>
<span class="sourceLineNo">575</span> int bi = 0;<a name="line.575"></a>
<span class="sourceLineNo">576</span> int al = 0;<a name="line.576"></a>
<span class="sourceLineNo">577</span> int bl = 0;<a name="line.577"></a>
<span class="sourceLineNo">578</span> int pi = 0;<a name="line.578"></a>
<span class="sourceLineNo">579</span> int p;<a name="line.579"></a>
<span class="sourceLineNo">580</span> boolean aLeft = ai &lt; aRank;<a name="line.580"></a>
<span class="sourceLineNo">581</span> boolean bLeft = bi &lt; bRank;<a name="line.581"></a>
<span class="sourceLineNo">582</span> while (aLeft &amp;&amp; bLeft) {<a name="line.582"></a>
<span class="sourceLineNo">583</span> if (aLeft) {<a name="line.583"></a>
<span class="sourceLineNo">584</span> al = aShape[ai++];<a name="line.584"></a>
<span class="sourceLineNo">585</span> aLeft = ai &lt; aRank;<a name="line.585"></a>
<span class="sourceLineNo">586</span> }<a name="line.586"></a>
<span class="sourceLineNo">587</span> if (bLeft) {<a name="line.587"></a>
<span class="sourceLineNo">588</span> bl = bShape[bi++];<a name="line.588"></a>
<span class="sourceLineNo">589</span> bLeft = bi &lt; bRank;<a name="line.589"></a>
<span class="sourceLineNo">590</span> }<a name="line.590"></a>
<span class="sourceLineNo">591</span> if (al != bl) {<a name="line.591"></a>
<span class="sourceLineNo">592</span> p = 0;<a name="line.592"></a>
<span class="sourceLineNo">593</span> while (al == 1 &amp;&amp; aLeft) {<a name="line.593"></a>
<span class="sourceLineNo">594</span> al = aShape[ai++];<a name="line.594"></a>
<span class="sourceLineNo">595</span> aLeft = ai &lt; aRank;<a name="line.595"></a>
<span class="sourceLineNo">596</span> p--;<a name="line.596"></a>
<span class="sourceLineNo">597</span> }<a name="line.597"></a>
<span class="sourceLineNo">598</span> while (bl == 1 &amp;&amp; bLeft) {<a name="line.598"></a>
<span class="sourceLineNo">599</span> bl = bShape[bi++];<a name="line.599"></a>
<span class="sourceLineNo">600</span> bLeft = bi &lt; bRank;<a name="line.600"></a>
<span class="sourceLineNo">601</span> p++;<a name="line.601"></a>
<span class="sourceLineNo">602</span> }<a name="line.602"></a>
<span class="sourceLineNo">603</span> padding[pi++] = p;<a name="line.603"></a>
<span class="sourceLineNo">604</span> }<a name="line.604"></a>
<span class="sourceLineNo">605</span> if (al == bl) {<a name="line.605"></a>
<span class="sourceLineNo">606</span> pi++;<a name="line.606"></a>
<span class="sourceLineNo">607</span> }<a name="line.607"></a>
<span class="sourceLineNo">608</span> }<a name="line.608"></a>
<span class="sourceLineNo">609</span> if (aLeft || bLeft) {<a name="line.609"></a>
<span class="sourceLineNo">610</span> p = 0;<a name="line.610"></a>
<span class="sourceLineNo">611</span> while (ai &lt; aRank &amp;&amp; aShape[ai++] == 1) {<a name="line.611"></a>
<span class="sourceLineNo">612</span> p--;<a name="line.612"></a>
<span class="sourceLineNo">613</span> }<a name="line.613"></a>
<span class="sourceLineNo">614</span> while (bi &lt; bRank &amp;&amp; bShape[bi++] == 1) {<a name="line.614"></a>
<span class="sourceLineNo">615</span> p++;<a name="line.615"></a>
<span class="sourceLineNo">616</span> }<a name="line.616"></a>
<span class="sourceLineNo">617</span> padding[pi++] = p;<a name="line.617"></a>
<span class="sourceLineNo">618</span> }<a name="line.618"></a>
<span class="sourceLineNo">619</span><a name="line.619"></a>
<span class="sourceLineNo">620</span> return Arrays.copyOf(padding, pi);<a name="line.620"></a>
<span class="sourceLineNo">621</span> }<a name="line.621"></a>
<span class="sourceLineNo">622</span><a name="line.622"></a>
<span class="sourceLineNo">623</span> static int[] padShape(int[] padding, int nr, int[] oldShape) {<a name="line.623"></a>
<span class="sourceLineNo">624</span> if (padding == null) {<a name="line.624"></a>
<span class="sourceLineNo">625</span> return oldShape.clone();<a name="line.625"></a>
<span class="sourceLineNo">626</span> }<a name="line.626"></a>
<span class="sourceLineNo">627</span> int or = oldShape.length;<a name="line.627"></a>
<span class="sourceLineNo">628</span> int[] newShape = new int[nr];<a name="line.628"></a>
<span class="sourceLineNo">629</span> int di = 0;<a name="line.629"></a>
<span class="sourceLineNo">630</span> for (int i = 0, si = 0; i &lt; (or+1) &amp;&amp; si &lt;= or &amp;&amp; di &lt; nr; i++) {<a name="line.630"></a>
<span class="sourceLineNo">631</span> int c = padding[i];<a name="line.631"></a>
<span class="sourceLineNo">632</span> if (c == 0) {<a name="line.632"></a>
<span class="sourceLineNo">633</span> newShape[di++] = oldShape[si++];<a name="line.633"></a>
<span class="sourceLineNo">634</span> } else if (c &gt; 0) {<a name="line.634"></a>
<span class="sourceLineNo">635</span> int dim = di + c;<a name="line.635"></a>
<span class="sourceLineNo">636</span> while (di &lt; dim) {<a name="line.636"></a>
<span class="sourceLineNo">637</span> newShape[di++] = 1;<a name="line.637"></a>
<span class="sourceLineNo">638</span> }<a name="line.638"></a>
<span class="sourceLineNo">639</span> } else if (c &lt; 0) {<a name="line.639"></a>
<span class="sourceLineNo">640</span> si -= c; // remove dimensions by skipping forward in source array (should check that they are unit entries)<a name="line.640"></a>
<span class="sourceLineNo">641</span> }<a name="line.641"></a>
<span class="sourceLineNo">642</span> }<a name="line.642"></a>
<span class="sourceLineNo">643</span> while (di &lt; nr) {<a name="line.643"></a>
<span class="sourceLineNo">644</span> newShape[di++] = 1;<a name="line.644"></a>
<span class="sourceLineNo">645</span> }<a name="line.645"></a>
<span class="sourceLineNo">646</span> return newShape;<a name="line.646"></a>
<span class="sourceLineNo">647</span> }<a name="line.647"></a>
<span class="sourceLineNo">648</span>}<a name="line.648"></a>
</pre>
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