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Posted to notifications@commons.apache.org by lu...@apache.org on 2015/07/27 21:40:06 UTC
svn commit: r959801 [5/10] - in
/websites/production/commons/content/proper/commons-math/apidocs: ./
org/apache/commons/math3/exception/class-use/
org/apache/commons/math3/fraction/
org/apache/commons/math3/geometry/euclidean/oned/class-use/ org/apache...
Modified: websites/production/commons/content/proper/commons-math/apidocs/src-html/org/apache/commons/math3/geometry/euclidean/threed/PolyhedronsSet.html
==============================================================================
--- websites/production/commons/content/proper/commons-math/apidocs/src-html/org/apache/commons/math3/geometry/euclidean/threed/PolyhedronsSet.html (original)
+++ websites/production/commons/content/proper/commons-math/apidocs/src-html/org/apache/commons/math3/geometry/euclidean/threed/PolyhedronsSet.html Mon Jul 27 19:40:06 2015
@@ -24,726 +24,727 @@
<span class="sourceLineNo">016</span> */<a name="line.16"></a>
<span class="sourceLineNo">017</span>package org.apache.commons.math3.geometry.euclidean.threed;<a name="line.17"></a>
<span class="sourceLineNo">018</span><a name="line.18"></a>
-<span class="sourceLineNo">019</span>import java.awt.geom.AffineTransform;<a name="line.19"></a>
-<span class="sourceLineNo">020</span>import java.util.ArrayList;<a name="line.20"></a>
-<span class="sourceLineNo">021</span>import java.util.Arrays;<a name="line.21"></a>
-<span class="sourceLineNo">022</span>import java.util.Collection;<a name="line.22"></a>
-<span class="sourceLineNo">023</span>import java.util.List;<a name="line.23"></a>
-<span class="sourceLineNo">024</span><a name="line.24"></a>
-<span class="sourceLineNo">025</span>import org.apache.commons.math3.exception.MathIllegalArgumentException;<a name="line.25"></a>
-<span class="sourceLineNo">026</span>import org.apache.commons.math3.exception.NumberIsTooSmallException;<a name="line.26"></a>
-<span class="sourceLineNo">027</span>import org.apache.commons.math3.exception.util.LocalizedFormats;<a name="line.27"></a>
-<span class="sourceLineNo">028</span>import org.apache.commons.math3.geometry.Point;<a name="line.28"></a>
-<span class="sourceLineNo">029</span>import org.apache.commons.math3.geometry.euclidean.oned.Euclidean1D;<a name="line.29"></a>
-<span class="sourceLineNo">030</span>import org.apache.commons.math3.geometry.euclidean.twod.Euclidean2D;<a name="line.30"></a>
-<span class="sourceLineNo">031</span>import org.apache.commons.math3.geometry.euclidean.twod.PolygonsSet;<a name="line.31"></a>
-<span class="sourceLineNo">032</span>import org.apache.commons.math3.geometry.euclidean.twod.SubLine;<a name="line.32"></a>
-<span class="sourceLineNo">033</span>import org.apache.commons.math3.geometry.euclidean.twod.Vector2D;<a name="line.33"></a>
-<span class="sourceLineNo">034</span>import org.apache.commons.math3.geometry.partitioning.AbstractRegion;<a name="line.34"></a>
-<span class="sourceLineNo">035</span>import org.apache.commons.math3.geometry.partitioning.BSPTree;<a name="line.35"></a>
-<span class="sourceLineNo">036</span>import org.apache.commons.math3.geometry.partitioning.BSPTreeVisitor;<a name="line.36"></a>
-<span class="sourceLineNo">037</span>import org.apache.commons.math3.geometry.partitioning.BoundaryAttribute;<a name="line.37"></a>
-<span class="sourceLineNo">038</span>import org.apache.commons.math3.geometry.partitioning.Hyperplane;<a name="line.38"></a>
-<span class="sourceLineNo">039</span>import org.apache.commons.math3.geometry.partitioning.Region;<a name="line.39"></a>
-<span class="sourceLineNo">040</span>import org.apache.commons.math3.geometry.partitioning.RegionFactory;<a name="line.40"></a>
-<span class="sourceLineNo">041</span>import org.apache.commons.math3.geometry.partitioning.SubHyperplane;<a name="line.41"></a>
-<span class="sourceLineNo">042</span>import org.apache.commons.math3.geometry.partitioning.Transform;<a name="line.42"></a>
-<span class="sourceLineNo">043</span>import org.apache.commons.math3.util.FastMath;<a name="line.43"></a>
-<span class="sourceLineNo">044</span><a name="line.44"></a>
-<span class="sourceLineNo">045</span>/** This class represents a 3D region: a set of polyhedrons.<a name="line.45"></a>
-<span class="sourceLineNo">046</span> * @since 3.0<a name="line.46"></a>
-<span class="sourceLineNo">047</span> */<a name="line.47"></a>
-<span class="sourceLineNo">048</span>public class PolyhedronsSet extends AbstractRegion<Euclidean3D, Euclidean2D> {<a name="line.48"></a>
-<span class="sourceLineNo">049</span><a name="line.49"></a>
-<span class="sourceLineNo">050</span> /** Default value for tolerance. */<a name="line.50"></a>
-<span class="sourceLineNo">051</span> private static final double DEFAULT_TOLERANCE = 1.0e-10;<a name="line.51"></a>
-<span class="sourceLineNo">052</span><a name="line.52"></a>
-<span class="sourceLineNo">053</span> /** Build a polyhedrons set representing the whole real line.<a name="line.53"></a>
-<span class="sourceLineNo">054</span> * @param tolerance tolerance below which points are considered identical<a name="line.54"></a>
-<span class="sourceLineNo">055</span> * @since 3.3<a name="line.55"></a>
-<span class="sourceLineNo">056</span> */<a name="line.56"></a>
-<span class="sourceLineNo">057</span> public PolyhedronsSet(final double tolerance) {<a name="line.57"></a>
-<span class="sourceLineNo">058</span> super(tolerance);<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> /** Build a polyhedrons set from a BSP tree.<a name="line.61"></a>
-<span class="sourceLineNo">062</span> * <p>The leaf nodes of the BSP tree <em>must</em> have a<a name="line.62"></a>
-<span class="sourceLineNo">063</span> * {@code Boolean} attribute representing the inside status of<a name="line.63"></a>
-<span class="sourceLineNo">064</span> * the corresponding cell (true for inside cells, false for outside<a name="line.64"></a>
-<span class="sourceLineNo">065</span> * cells). In order to avoid building too many small objects, it is<a name="line.65"></a>
-<span class="sourceLineNo">066</span> * recommended to use the predefined constants<a name="line.66"></a>
-<span class="sourceLineNo">067</span> * {@code Boolean.TRUE} and {@code Boolean.FALSE}</p><a name="line.67"></a>
-<span class="sourceLineNo">068</span> * <p><a name="line.68"></a>
-<span class="sourceLineNo">069</span> * This constructor is aimed at expert use, as building the tree may<a name="line.69"></a>
-<span class="sourceLineNo">070</span> * be a difficult task. It is not intended for general use and for<a name="line.70"></a>
-<span class="sourceLineNo">071</span> * performances reasons does not check thoroughly its input, as this would<a name="line.71"></a>
-<span class="sourceLineNo">072</span> * require walking the full tree each time. Failing to provide a tree with<a name="line.72"></a>
-<span class="sourceLineNo">073</span> * the proper attributes, <em>will</em> therefore generate problems like<a name="line.73"></a>
-<span class="sourceLineNo">074</span> * {@link NullPointerException} or {@link ClassCastException} only later on.<a name="line.74"></a>
-<span class="sourceLineNo">075</span> * This limitation is known and explains why this constructor is for expert<a name="line.75"></a>
-<span class="sourceLineNo">076</span> * use only. The caller does have the responsibility to provided correct arguments.<a name="line.76"></a>
-<span class="sourceLineNo">077</span> * </p><a name="line.77"></a>
-<span class="sourceLineNo">078</span> * @param tree inside/outside BSP tree representing the region<a name="line.78"></a>
-<span class="sourceLineNo">079</span> * @param tolerance tolerance below which points are considered identical<a name="line.79"></a>
-<span class="sourceLineNo">080</span> * @since 3.3<a name="line.80"></a>
-<span class="sourceLineNo">081</span> */<a name="line.81"></a>
-<span class="sourceLineNo">082</span> public PolyhedronsSet(final BSPTree<Euclidean3D> tree, final double tolerance) {<a name="line.82"></a>
-<span class="sourceLineNo">083</span> super(tree, tolerance);<a name="line.83"></a>
-<span class="sourceLineNo">084</span> }<a name="line.84"></a>
-<span class="sourceLineNo">085</span><a name="line.85"></a>
-<span class="sourceLineNo">086</span> /** Build a polyhedrons set from a Boundary REPresentation (B-rep) specified by sub-hyperplanes.<a name="line.86"></a>
-<span class="sourceLineNo">087</span> * <p>The boundary is provided as a collection of {@link<a name="line.87"></a>
-<span class="sourceLineNo">088</span> * SubHyperplane sub-hyperplanes}. Each sub-hyperplane has the<a name="line.88"></a>
-<span class="sourceLineNo">089</span> * interior part of the region on its minus side and the exterior on<a name="line.89"></a>
-<span class="sourceLineNo">090</span> * its plus side.</p><a name="line.90"></a>
-<span class="sourceLineNo">091</span> * <p>The boundary elements can be in any order, and can form<a name="line.91"></a>
-<span class="sourceLineNo">092</span> * several non-connected sets (like for example polyhedrons with holes<a name="line.92"></a>
-<span class="sourceLineNo">093</span> * or a set of disjoint polyhedrons considered as a whole). In<a name="line.93"></a>
-<span class="sourceLineNo">094</span> * fact, the elements do not even need to be connected together<a name="line.94"></a>
-<span class="sourceLineNo">095</span> * (their topological connections are not used here). However, if the<a name="line.95"></a>
-<span class="sourceLineNo">096</span> * boundary does not really separate an inside open from an outside<a name="line.96"></a>
-<span class="sourceLineNo">097</span> * open (open having here its topological meaning), then subsequent<a name="line.97"></a>
-<span class="sourceLineNo">098</span> * calls to the {@link Region#checkPoint(Point) checkPoint} method will<a name="line.98"></a>
-<span class="sourceLineNo">099</span> * not be meaningful anymore.</p><a name="line.99"></a>
-<span class="sourceLineNo">100</span> * <p>If the boundary is empty, the region will represent the whole<a name="line.100"></a>
-<span class="sourceLineNo">101</span> * space.</p><a name="line.101"></a>
-<span class="sourceLineNo">102</span> * @param boundary collection of boundary elements, as a<a name="line.102"></a>
-<span class="sourceLineNo">103</span> * collection of {@link SubHyperplane SubHyperplane} objects<a name="line.103"></a>
-<span class="sourceLineNo">104</span> * @param tolerance tolerance below which points are considered identical<a name="line.104"></a>
-<span class="sourceLineNo">105</span> * @since 3.3<a name="line.105"></a>
-<span class="sourceLineNo">106</span> */<a name="line.106"></a>
-<span class="sourceLineNo">107</span> public PolyhedronsSet(final Collection<SubHyperplane<Euclidean3D>> boundary,<a name="line.107"></a>
-<span class="sourceLineNo">108</span> final double tolerance) {<a name="line.108"></a>
-<span class="sourceLineNo">109</span> super(boundary, tolerance);<a name="line.109"></a>
-<span class="sourceLineNo">110</span> }<a name="line.110"></a>
-<span class="sourceLineNo">111</span><a name="line.111"></a>
-<span class="sourceLineNo">112</span> /** Build a polyhedrons set from a Boundary REPresentation (B-rep) specified by connected vertices.<a name="line.112"></a>
-<span class="sourceLineNo">113</span> * <p><a name="line.113"></a>
-<span class="sourceLineNo">114</span> * The boundary is provided as a list of vertices and a list of facets.<a name="line.114"></a>
-<span class="sourceLineNo">115</span> * Each facet is specified as an integer array containing the arrays vertices<a name="line.115"></a>
-<span class="sourceLineNo">116</span> * indices in the vertices list. Each facet normal is oriented by right hand<a name="line.116"></a>
-<span class="sourceLineNo">117</span> * rule to the facet vertices list.<a name="line.117"></a>
-<span class="sourceLineNo">118</span> * </p><a name="line.118"></a>
-<span class="sourceLineNo">119</span> * <p><a name="line.119"></a>
-<span class="sourceLineNo">120</span> * Some basic sanity checks are performed but not everything is thoroughly<a name="line.120"></a>
-<span class="sourceLineNo">121</span> * assessed, so it remains under caller responsibility to ensure the vertices<a name="line.121"></a>
-<span class="sourceLineNo">122</span> * and facets are consistent and properly define a polyhedrons set.<a name="line.122"></a>
-<span class="sourceLineNo">123</span> * </p><a name="line.123"></a>
-<span class="sourceLineNo">124</span> * @param vertices list of polyhedrons set vertices<a name="line.124"></a>
-<span class="sourceLineNo">125</span> * @param facets list of facets, as vertices indices in the vertices list<a name="line.125"></a>
-<span class="sourceLineNo">126</span> * @param tolerance tolerance below which points are considered identical<a name="line.126"></a>
-<span class="sourceLineNo">127</span> * @exception MathIllegalArgumentException if some basic sanity checks fail<a name="line.127"></a>
-<span class="sourceLineNo">128</span> * @since 3.5<a name="line.128"></a>
-<span class="sourceLineNo">129</span> */<a name="line.129"></a>
-<span class="sourceLineNo">130</span> public PolyhedronsSet(final List<Vector3D> vertices, final List<int[]> facets,<a name="line.130"></a>
-<span class="sourceLineNo">131</span> final double tolerance) {<a name="line.131"></a>
-<span class="sourceLineNo">132</span> super(buildBoundary(vertices, facets, tolerance), tolerance);<a name="line.132"></a>
-<span class="sourceLineNo">133</span> }<a name="line.133"></a>
-<span class="sourceLineNo">134</span><a name="line.134"></a>
-<span class="sourceLineNo">135</span> /** Build a parallellepipedic box.<a name="line.135"></a>
-<span class="sourceLineNo">136</span> * @param xMin low bound along the x direction<a name="line.136"></a>
-<span class="sourceLineNo">137</span> * @param xMax high bound along the x direction<a name="line.137"></a>
-<span class="sourceLineNo">138</span> * @param yMin low bound along the y direction<a name="line.138"></a>
-<span class="sourceLineNo">139</span> * @param yMax high bound along the y direction<a name="line.139"></a>
-<span class="sourceLineNo">140</span> * @param zMin low bound along the z direction<a name="line.140"></a>
-<span class="sourceLineNo">141</span> * @param zMax high bound along the z direction<a name="line.141"></a>
-<span class="sourceLineNo">142</span> * @param tolerance tolerance below which points are considered identical<a name="line.142"></a>
-<span class="sourceLineNo">143</span> * @since 3.3<a name="line.143"></a>
-<span class="sourceLineNo">144</span> */<a name="line.144"></a>
-<span class="sourceLineNo">145</span> public PolyhedronsSet(final double xMin, final double xMax,<a name="line.145"></a>
-<span class="sourceLineNo">146</span> final double yMin, final double yMax,<a name="line.146"></a>
-<span class="sourceLineNo">147</span> final double zMin, final double zMax,<a name="line.147"></a>
-<span class="sourceLineNo">148</span> final double tolerance) {<a name="line.148"></a>
-<span class="sourceLineNo">149</span> super(buildBoundary(xMin, xMax, yMin, yMax, zMin, zMax, tolerance), tolerance);<a name="line.149"></a>
-<span class="sourceLineNo">150</span> }<a name="line.150"></a>
-<span class="sourceLineNo">151</span><a name="line.151"></a>
-<span class="sourceLineNo">152</span> /** Build a polyhedrons set representing the whole real line.<a name="line.152"></a>
-<span class="sourceLineNo">153</span> * @deprecated as of 3.3, replaced with {@link #PolyhedronsSet(double)}<a name="line.153"></a>
-<span class="sourceLineNo">154</span> */<a name="line.154"></a>
-<span class="sourceLineNo">155</span> @Deprecated<a name="line.155"></a>
-<span class="sourceLineNo">156</span> public PolyhedronsSet() {<a name="line.156"></a>
-<span class="sourceLineNo">157</span> this(DEFAULT_TOLERANCE);<a name="line.157"></a>
-<span class="sourceLineNo">158</span> }<a name="line.158"></a>
-<span class="sourceLineNo">159</span><a name="line.159"></a>
-<span class="sourceLineNo">160</span> /** Build a polyhedrons set from a BSP tree.<a name="line.160"></a>
-<span class="sourceLineNo">161</span> * <p>The leaf nodes of the BSP tree <em>must</em> have a<a name="line.161"></a>
-<span class="sourceLineNo">162</span> * {@code Boolean} attribute representing the inside status of<a name="line.162"></a>
-<span class="sourceLineNo">163</span> * the corresponding cell (true for inside cells, false for outside<a name="line.163"></a>
-<span class="sourceLineNo">164</span> * cells). In order to avoid building too many small objects, it is<a name="line.164"></a>
-<span class="sourceLineNo">165</span> * recommended to use the predefined constants<a name="line.165"></a>
-<span class="sourceLineNo">166</span> * {@code Boolean.TRUE} and {@code Boolean.FALSE}</p><a name="line.166"></a>
-<span class="sourceLineNo">167</span> * @param tree inside/outside BSP tree representing the region<a name="line.167"></a>
-<span class="sourceLineNo">168</span> * @deprecated as of 3.3, replaced with {@link #PolyhedronsSet(BSPTree, double)}<a name="line.168"></a>
-<span class="sourceLineNo">169</span> */<a name="line.169"></a>
-<span class="sourceLineNo">170</span> @Deprecated<a name="line.170"></a>
-<span class="sourceLineNo">171</span> public PolyhedronsSet(final BSPTree<Euclidean3D> tree) {<a name="line.171"></a>
-<span class="sourceLineNo">172</span> this(tree, DEFAULT_TOLERANCE);<a name="line.172"></a>
-<span class="sourceLineNo">173</span> }<a name="line.173"></a>
-<span class="sourceLineNo">174</span><a name="line.174"></a>
-<span class="sourceLineNo">175</span> /** Build a polyhedrons set from a Boundary REPresentation (B-rep).<a name="line.175"></a>
-<span class="sourceLineNo">176</span> * <p>The boundary is provided as a collection of {@link<a name="line.176"></a>
-<span class="sourceLineNo">177</span> * SubHyperplane sub-hyperplanes}. Each sub-hyperplane has the<a name="line.177"></a>
-<span class="sourceLineNo">178</span> * interior part of the region on its minus side and the exterior on<a name="line.178"></a>
-<span class="sourceLineNo">179</span> * its plus side.</p><a name="line.179"></a>
-<span class="sourceLineNo">180</span> * <p>The boundary elements can be in any order, and can form<a name="line.180"></a>
-<span class="sourceLineNo">181</span> * several non-connected sets (like for example polyhedrons with holes<a name="line.181"></a>
-<span class="sourceLineNo">182</span> * or a set of disjoint polyhedrons considered as a whole). In<a name="line.182"></a>
-<span class="sourceLineNo">183</span> * fact, the elements do not even need to be connected together<a name="line.183"></a>
-<span class="sourceLineNo">184</span> * (their topological connections are not used here). However, if the<a name="line.184"></a>
-<span class="sourceLineNo">185</span> * boundary does not really separate an inside open from an outside<a name="line.185"></a>
-<span class="sourceLineNo">186</span> * open (open having here its topological meaning), then subsequent<a name="line.186"></a>
-<span class="sourceLineNo">187</span> * calls to the {@link Region#checkPoint(Point) checkPoint} method will<a name="line.187"></a>
-<span class="sourceLineNo">188</span> * not be meaningful anymore.</p><a name="line.188"></a>
-<span class="sourceLineNo">189</span> * <p>If the boundary is empty, the region will represent the whole<a name="line.189"></a>
-<span class="sourceLineNo">190</span> * space.</p><a name="line.190"></a>
-<span class="sourceLineNo">191</span> * @param boundary collection of boundary elements, as a<a name="line.191"></a>
-<span class="sourceLineNo">192</span> * collection of {@link SubHyperplane SubHyperplane} objects<a name="line.192"></a>
-<span class="sourceLineNo">193</span> * @deprecated as of 3.3, replaced with {@link #PolyhedronsSet(Collection, double)}<a name="line.193"></a>
-<span class="sourceLineNo">194</span> */<a name="line.194"></a>
-<span class="sourceLineNo">195</span> @Deprecated<a name="line.195"></a>
-<span class="sourceLineNo">196</span> public PolyhedronsSet(final Collection<SubHyperplane<Euclidean3D>> boundary) {<a name="line.196"></a>
-<span class="sourceLineNo">197</span> this(boundary, DEFAULT_TOLERANCE);<a name="line.197"></a>
-<span class="sourceLineNo">198</span> }<a name="line.198"></a>
-<span class="sourceLineNo">199</span><a name="line.199"></a>
-<span class="sourceLineNo">200</span> /** Build a parallellepipedic box.<a name="line.200"></a>
-<span class="sourceLineNo">201</span> * @param xMin low bound along the x direction<a name="line.201"></a>
-<span class="sourceLineNo">202</span> * @param xMax high bound along the x direction<a name="line.202"></a>
-<span class="sourceLineNo">203</span> * @param yMin low bound along the y direction<a name="line.203"></a>
-<span class="sourceLineNo">204</span> * @param yMax high bound along the y direction<a name="line.204"></a>
-<span class="sourceLineNo">205</span> * @param zMin low bound along the z direction<a name="line.205"></a>
-<span class="sourceLineNo">206</span> * @param zMax high bound along the z direction<a name="line.206"></a>
-<span class="sourceLineNo">207</span> * @deprecated as of 3.3, replaced with {@link #PolyhedronsSet(double, double,<a name="line.207"></a>
-<span class="sourceLineNo">208</span> * double, double, double, double, double)}<a name="line.208"></a>
-<span class="sourceLineNo">209</span> */<a name="line.209"></a>
-<span class="sourceLineNo">210</span> @Deprecated<a name="line.210"></a>
-<span class="sourceLineNo">211</span> public PolyhedronsSet(final double xMin, final double xMax,<a name="line.211"></a>
-<span class="sourceLineNo">212</span> final double yMin, final double yMax,<a name="line.212"></a>
-<span class="sourceLineNo">213</span> final double zMin, final double zMax) {<a name="line.213"></a>
-<span class="sourceLineNo">214</span> this(xMin, xMax, yMin, yMax, zMin, zMax, DEFAULT_TOLERANCE);<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> /** Build a parallellepipedic box boundary.<a name="line.217"></a>
-<span class="sourceLineNo">218</span> * @param xMin low bound along the x direction<a name="line.218"></a>
-<span class="sourceLineNo">219</span> * @param xMax high bound along the x direction<a name="line.219"></a>
-<span class="sourceLineNo">220</span> * @param yMin low bound along the y direction<a name="line.220"></a>
-<span class="sourceLineNo">221</span> * @param yMax high bound along the y direction<a name="line.221"></a>
-<span class="sourceLineNo">222</span> * @param zMin low bound along the z direction<a name="line.222"></a>
-<span class="sourceLineNo">223</span> * @param zMax high bound along the z direction<a name="line.223"></a>
-<span class="sourceLineNo">224</span> * @param tolerance tolerance below which points are considered identical<a name="line.224"></a>
-<span class="sourceLineNo">225</span> * @return boundary tree<a name="line.225"></a>
-<span class="sourceLineNo">226</span> * @since 3.3<a name="line.226"></a>
-<span class="sourceLineNo">227</span> */<a name="line.227"></a>
-<span class="sourceLineNo">228</span> private static BSPTree<Euclidean3D> buildBoundary(final double xMin, final double xMax,<a name="line.228"></a>
-<span class="sourceLineNo">229</span> final double yMin, final double yMax,<a name="line.229"></a>
-<span class="sourceLineNo">230</span> final double zMin, final double zMax,<a name="line.230"></a>
-<span class="sourceLineNo">231</span> final double tolerance) {<a name="line.231"></a>
-<span class="sourceLineNo">232</span> if ((xMin >= xMax - tolerance) || (yMin >= yMax - tolerance) || (zMin >= zMax - tolerance)) {<a name="line.232"></a>
-<span class="sourceLineNo">233</span> // too thin box, build an empty polygons set<a name="line.233"></a>
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-<span class="sourceLineNo">714</span> public SubHyperplane<Euclidean2D> apply(final SubHyperplane<Euclidean2D> sub,<a name="line.714"></a>
-<span class="sourceLineNo">715</span> final Hyperplane<Euclidean3D> original,<a name="line.715"></a>
-<span class="sourceLineNo">716</span> final Hyperplane<Euclidean3D> transformed) {<a name="line.716"></a>
-<span class="sourceLineNo">717</span> if (original != cachedOriginal) {<a name="line.717"></a>
-<span class="sourceLineNo">718</span> // we have changed hyperplane, reset the in-hyperplane transform<a name="line.718"></a>
-<span class="sourceLineNo">719</span><a name="line.719"></a>
-<span class="sourceLineNo">720</span> final Plane oPlane = (Plane) original;<a name="line.720"></a>
-<span class="sourceLineNo">721</span> final Plane tPlane = (Plane) transformed;<a name="line.721"></a>
-<span class="sourceLineNo">722</span> final Vector2D shift = tPlane.toSubSpace((Point<Euclidean3D>) apply(oPlane.getOrigin()));<a name="line.722"></a>
-<span class="sourceLineNo">723</span> final AffineTransform at =<a name="line.723"></a>
-<span class="sourceLineNo">724</span> AffineTransform.getTranslateInstance(shift.getX(), shift.getY());<a name="line.724"></a>
-<span class="sourceLineNo">725</span><a name="line.725"></a>
-<span class="sourceLineNo">726</span> cachedOriginal = (Plane) original;<a name="line.726"></a>
-<span class="sourceLineNo">727</span> cachedTransform =<a name="line.727"></a>
-<span class="sourceLineNo">728</span> org.apache.commons.math3.geometry.euclidean.twod.Line.getTransform(at);<a name="line.728"></a>
-<span class="sourceLineNo">729</span><a name="line.729"></a>
-<span class="sourceLineNo">730</span> }<a name="line.730"></a>
-<span class="sourceLineNo">731</span><a name="line.731"></a>
-<span class="sourceLineNo">732</span> return ((SubLine) sub).applyTransform(cachedTransform);<a name="line.732"></a>
-<span class="sourceLineNo">733</span><a name="line.733"></a>
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-<span class="sourceLineNo">738</span>}<a name="line.738"></a>
+<span class="sourceLineNo">019</span>import java.util.ArrayList;<a name="line.19"></a>
+<span class="sourceLineNo">020</span>import java.util.Arrays;<a name="line.20"></a>
+<span class="sourceLineNo">021</span>import java.util.Collection;<a name="line.21"></a>
+<span class="sourceLineNo">022</span>import java.util.List;<a name="line.22"></a>
+<span class="sourceLineNo">023</span><a name="line.23"></a>
+<span class="sourceLineNo">024</span>import org.apache.commons.math3.exception.MathIllegalArgumentException;<a name="line.24"></a>
+<span class="sourceLineNo">025</span>import org.apache.commons.math3.exception.NumberIsTooSmallException;<a name="line.25"></a>
+<span class="sourceLineNo">026</span>import org.apache.commons.math3.exception.util.LocalizedFormats;<a name="line.26"></a>
+<span class="sourceLineNo">027</span>import org.apache.commons.math3.geometry.Point;<a name="line.27"></a>
+<span class="sourceLineNo">028</span>import org.apache.commons.math3.geometry.euclidean.oned.Euclidean1D;<a name="line.28"></a>
+<span class="sourceLineNo">029</span>import org.apache.commons.math3.geometry.euclidean.twod.Euclidean2D;<a name="line.29"></a>
+<span class="sourceLineNo">030</span>import org.apache.commons.math3.geometry.euclidean.twod.PolygonsSet;<a name="line.30"></a>
+<span class="sourceLineNo">031</span>import org.apache.commons.math3.geometry.euclidean.twod.SubLine;<a name="line.31"></a>
+<span class="sourceLineNo">032</span>import org.apache.commons.math3.geometry.euclidean.twod.Vector2D;<a name="line.32"></a>
+<span class="sourceLineNo">033</span>import org.apache.commons.math3.geometry.partitioning.AbstractRegion;<a name="line.33"></a>
+<span class="sourceLineNo">034</span>import org.apache.commons.math3.geometry.partitioning.BSPTree;<a name="line.34"></a>
+<span class="sourceLineNo">035</span>import org.apache.commons.math3.geometry.partitioning.BSPTreeVisitor;<a name="line.35"></a>
+<span class="sourceLineNo">036</span>import org.apache.commons.math3.geometry.partitioning.BoundaryAttribute;<a name="line.36"></a>
+<span class="sourceLineNo">037</span>import org.apache.commons.math3.geometry.partitioning.Hyperplane;<a name="line.37"></a>
+<span class="sourceLineNo">038</span>import org.apache.commons.math3.geometry.partitioning.Region;<a name="line.38"></a>
+<span class="sourceLineNo">039</span>import org.apache.commons.math3.geometry.partitioning.RegionFactory;<a name="line.39"></a>
+<span class="sourceLineNo">040</span>import org.apache.commons.math3.geometry.partitioning.SubHyperplane;<a name="line.40"></a>
+<span class="sourceLineNo">041</span>import org.apache.commons.math3.geometry.partitioning.Transform;<a name="line.41"></a>
+<span class="sourceLineNo">042</span>import org.apache.commons.math3.util.FastMath;<a name="line.42"></a>
+<span class="sourceLineNo">043</span><a name="line.43"></a>
+<span class="sourceLineNo">044</span>/** This class represents a 3D region: a set of polyhedrons.<a name="line.44"></a>
+<span class="sourceLineNo">045</span> * @since 3.0<a name="line.45"></a>
+<span class="sourceLineNo">046</span> */<a name="line.46"></a>
+<span class="sourceLineNo">047</span>public class PolyhedronsSet extends AbstractRegion<Euclidean3D, Euclidean2D> {<a name="line.47"></a>
+<span class="sourceLineNo">048</span><a name="line.48"></a>
+<span class="sourceLineNo">049</span> /** Default value for tolerance. */<a name="line.49"></a>
+<span class="sourceLineNo">050</span> private static final double DEFAULT_TOLERANCE = 1.0e-10;<a name="line.50"></a>
+<span class="sourceLineNo">051</span><a name="line.51"></a>
+<span class="sourceLineNo">052</span> /** Build a polyhedrons set representing the whole real line.<a name="line.52"></a>
+<span class="sourceLineNo">053</span> * @param tolerance tolerance below which points are considered identical<a name="line.53"></a>
+<span class="sourceLineNo">054</span> * @since 3.3<a name="line.54"></a>
+<span class="sourceLineNo">055</span> */<a name="line.55"></a>
+<span class="sourceLineNo">056</span> public PolyhedronsSet(final double tolerance) {<a name="line.56"></a>
+<span class="sourceLineNo">057</span> super(tolerance);<a name="line.57"></a>
+<span class="sourceLineNo">058</span> }<a name="line.58"></a>
+<span class="sourceLineNo">059</span><a name="line.59"></a>
+<span class="sourceLineNo">060</span> /** Build a polyhedrons set from a BSP tree.<a name="line.60"></a>
+<span class="sourceLineNo">061</span> * <p>The leaf nodes of the BSP tree <em>must</em> have a<a name="line.61"></a>
+<span class="sourceLineNo">062</span> * {@code Boolean} attribute representing the inside status of<a name="line.62"></a>
+<span class="sourceLineNo">063</span> * the corresponding cell (true for inside cells, false for outside<a name="line.63"></a>
+<span class="sourceLineNo">064</span> * cells). In order to avoid building too many small objects, it is<a name="line.64"></a>
+<span class="sourceLineNo">065</span> * recommended to use the predefined constants<a name="line.65"></a>
+<span class="sourceLineNo">066</span> * {@code Boolean.TRUE} and {@code Boolean.FALSE}</p><a name="line.66"></a>
+<span class="sourceLineNo">067</span> * <p><a name="line.67"></a>
+<span class="sourceLineNo">068</span> * This constructor is aimed at expert use, as building the tree may<a name="line.68"></a>
+<span class="sourceLineNo">069</span> * be a difficult task. It is not intended for general use and for<a name="line.69"></a>
+<span class="sourceLineNo">070</span> * performances reasons does not check thoroughly its input, as this would<a name="line.70"></a>
+<span class="sourceLineNo">071</span> * require walking the full tree each time. Failing to provide a tree with<a name="line.71"></a>
+<span class="sourceLineNo">072</span> * the proper attributes, <em>will</em> therefore generate problems like<a name="line.72"></a>
+<span class="sourceLineNo">073</span> * {@link NullPointerException} or {@link ClassCastException} only later on.<a name="line.73"></a>
+<span class="sourceLineNo">074</span> * This limitation is known and explains why this constructor is for expert<a name="line.74"></a>
+<span class="sourceLineNo">075</span> * use only. The caller does have the responsibility to provided correct arguments.<a name="line.75"></a>
+<span class="sourceLineNo">076</span> * </p><a name="line.76"></a>
+<span class="sourceLineNo">077</span> * @param tree inside/outside BSP tree representing the region<a name="line.77"></a>
+<span class="sourceLineNo">078</span> * @param tolerance tolerance below which points are considered identical<a name="line.78"></a>
+<span class="sourceLineNo">079</span> * @since 3.3<a name="line.79"></a>
+<span class="sourceLineNo">080</span> */<a name="line.80"></a>
+<span class="sourceLineNo">081</span> public PolyhedronsSet(final BSPTree<Euclidean3D> tree, final double tolerance) {<a name="line.81"></a>
+<span class="sourceLineNo">082</span> super(tree, tolerance);<a name="line.82"></a>
+<span class="sourceLineNo">083</span> }<a name="line.83"></a>
+<span class="sourceLineNo">084</span><a name="line.84"></a>
+<span class="sourceLineNo">085</span> /** Build a polyhedrons set from a Boundary REPresentation (B-rep) specified by sub-hyperplanes.<a name="line.85"></a>
+<span class="sourceLineNo">086</span> * <p>The boundary is provided as a collection of {@link<a name="line.86"></a>
+<span class="sourceLineNo">087</span> * SubHyperplane sub-hyperplanes}. Each sub-hyperplane has the<a name="line.87"></a>
+<span class="sourceLineNo">088</span> * interior part of the region on its minus side and the exterior on<a name="line.88"></a>
+<span class="sourceLineNo">089</span> * its plus side.</p><a name="line.89"></a>
+<span class="sourceLineNo">090</span> * <p>The boundary elements can be in any order, and can form<a name="line.90"></a>
+<span class="sourceLineNo">091</span> * several non-connected sets (like for example polyhedrons with holes<a name="line.91"></a>
+<span class="sourceLineNo">092</span> * or a set of disjoint polyhedrons considered as a whole). In<a name="line.92"></a>
+<span class="sourceLineNo">093</span> * fact, the elements do not even need to be connected together<a name="line.93"></a>
+<span class="sourceLineNo">094</span> * (their topological connections are not used here). However, if the<a name="line.94"></a>
+<span class="sourceLineNo">095</span> * boundary does not really separate an inside open from an outside<a name="line.95"></a>
+<span class="sourceLineNo">096</span> * open (open having here its topological meaning), then subsequent<a name="line.96"></a>
+<span class="sourceLineNo">097</span> * calls to the {@link Region#checkPoint(Point) checkPoint} method will<a name="line.97"></a>
+<span class="sourceLineNo">098</span> * not be meaningful anymore.</p><a name="line.98"></a>
+<span class="sourceLineNo">099</span> * <p>If the boundary is empty, the region will represent the whole<a name="line.99"></a>
+<span class="sourceLineNo">100</span> * space.</p><a name="line.100"></a>
+<span class="sourceLineNo">101</span> * @param boundary collection of boundary elements, as a<a name="line.101"></a>
+<span class="sourceLineNo">102</span> * collection of {@link SubHyperplane SubHyperplane} objects<a name="line.102"></a>
+<span class="sourceLineNo">103</span> * @param tolerance tolerance below which points are considered identical<a name="line.103"></a>
+<span class="sourceLineNo">104</span> * @since 3.3<a name="line.104"></a>
+<span class="sourceLineNo">105</span> */<a name="line.105"></a>
+<span class="sourceLineNo">106</span> public PolyhedronsSet(final Collection<SubHyperplane<Euclidean3D>> boundary,<a name="line.106"></a>
+<span class="sourceLineNo">107</span> final double tolerance) {<a name="line.107"></a>
+<span class="sourceLineNo">108</span> super(boundary, tolerance);<a name="line.108"></a>
+<span class="sourceLineNo">109</span> }<a name="line.109"></a>
+<span class="sourceLineNo">110</span><a name="line.110"></a>
+<span class="sourceLineNo">111</span> /** Build a polyhedrons set from a Boundary REPresentation (B-rep) specified by connected vertices.<a name="line.111"></a>
+<span class="sourceLineNo">112</span> * <p><a name="line.112"></a>
+<span class="sourceLineNo">113</span> * The boundary is provided as a list of vertices and a list of facets.<a name="line.113"></a>
+<span class="sourceLineNo">114</span> * Each facet is specified as an integer array containing the arrays vertices<a name="line.114"></a>
+<span class="sourceLineNo">115</span> * indices in the vertices list. Each facet normal is oriented by right hand<a name="line.115"></a>
+<span class="sourceLineNo">116</span> * rule to the facet vertices list.<a name="line.116"></a>
+<span class="sourceLineNo">117</span> * </p><a name="line.117"></a>
+<span class="sourceLineNo">118</span> * <p><a name="line.118"></a>
+<span class="sourceLineNo">119</span> * Some basic sanity checks are performed but not everything is thoroughly<a name="line.119"></a>
+<span class="sourceLineNo">120</span> * assessed, so it remains under caller responsibility to ensure the vertices<a name="line.120"></a>
+<span class="sourceLineNo">121</span> * and facets are consistent and properly define a polyhedrons set.<a name="line.121"></a>
+<span class="sourceLineNo">122</span> * </p><a name="line.122"></a>
+<span class="sourceLineNo">123</span> * @param vertices list of polyhedrons set vertices<a name="line.123"></a>
+<span class="sourceLineNo">124</span> * @param facets list of facets, as vertices indices in the vertices list<a name="line.124"></a>
+<span class="sourceLineNo">125</span> * @param tolerance tolerance below which points are considered identical<a name="line.125"></a>
+<span class="sourceLineNo">126</span> * @exception MathIllegalArgumentException if some basic sanity checks fail<a name="line.126"></a>
[... 617 lines stripped ...]