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From l..@apache.org
Subject svn commit: r951633 [47/49] - in /websites/production/commons/content/proper/commons-math: xref-test/ xref-test/org/apache/commons/math3/ xref-test/org/apache/commons/math3/analysis/ xref-test/org/apache/commons/math3/analysis/differentiation/ xref-tes...
Date Sun, 17 May 2015 17:05:54 GMT
Modified: websites/production/commons/content/proper/commons-math/xref/org/apache/commons/math3/util/MathArrays.html
==============================================================================
--- websites/production/commons/content/proper/commons-math/xref/org/apache/commons/math3/util/MathArrays.html (original)
+++ websites/production/commons/content/proper/commons-math/xref/org/apache/commons/math3/util/MathArrays.html Sun May 17 17:05:50 2015
@@ -55,1198 +55,1198 @@
 <a class="jxr_linenumber" name="L47" href="#L47">47</a>  <em class="jxr_javadoccomment"> * @since 3.0</em>
 <a class="jxr_linenumber" name="L48" href="#L48">48</a>  <em class="jxr_javadoccomment"> */</em>
 <a class="jxr_linenumber" name="L49" href="#L49">49</a>  <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">class</strong> <a href="../../../../../org/apache/commons/math3/util/MathArrays.html">MathArrays</a> {
-<a class="jxr_linenumber" name="L50" href="#L50">50</a>      <em class="jxr_javadoccomment">/** Factor used for splitting double numbers: n = 2^27 + 1 (i.e. {@value}). */</em>
-<a class="jxr_linenumber" name="L51" href="#L51">51</a>      <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">int</strong> SPLIT_FACTOR = 0x8000001;
-<a class="jxr_linenumber" name="L52" href="#L52">52</a>  
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-<a class="jxr_linenumber" name="L54" href="#L54">54</a>  <em class="jxr_javadoccomment">     * Private constructor.</em>
-<a class="jxr_linenumber" name="L55" href="#L55">55</a>  <em class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L56" href="#L56">56</a>      <strong class="jxr_keyword">private</strong> <a href="../../../../../org/apache/commons/math3/util/MathArrays.html">MathArrays</a>() {}
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-<a class="jxr_linenumber" name="L58" href="#L58">58</a>      <em class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L59" href="#L59">59</a>  <em class="jxr_javadoccomment">     * Real-valued function that operate on an array or a part of it.</em>
-<a class="jxr_linenumber" name="L60" href="#L60">60</a>  <em class="jxr_javadoccomment">     * @since 3.1</em>
-<a class="jxr_linenumber" name="L61" href="#L61">61</a>  <em class="jxr_javadoccomment">     */</em>
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-<a class="jxr_linenumber" name="L63" href="#L63">63</a>          <em class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L64" href="#L64">64</a>  <em class="jxr_javadoccomment">         * Operates on an entire array.</em>
-<a class="jxr_linenumber" name="L65" href="#L65">65</a>  <em class="jxr_javadoccomment">         *</em>
-<a class="jxr_linenumber" name="L66" href="#L66">66</a>  <em class="jxr_javadoccomment">         * @param array Array to operate on.</em>
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-<a class="jxr_linenumber" name="L68" href="#L68">68</a>  <em class="jxr_javadoccomment">         */</em>
-<a class="jxr_linenumber" name="L69" href="#L69">69</a>          <strong class="jxr_keyword">double</strong> evaluate(<strong class="jxr_keyword">double</strong>[] array);
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-<a class="jxr_linenumber" name="L71" href="#L71">71</a>  <em class="jxr_javadoccomment">         * @param array Array to operate on.</em>
-<a class="jxr_linenumber" name="L72" href="#L72">72</a>  <em class="jxr_javadoccomment">         * @param startIndex Index of the first element to take into account.</em>
-<a class="jxr_linenumber" name="L73" href="#L73">73</a>  <em class="jxr_javadoccomment">         * @param numElements Number of elements to take into account.</em>
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+<a class="jxr_linenumber" name="L51" href="#L51">51</a>      <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L52" href="#L52">52</a>  <em class="jxr_javadoccomment">     * Private constructor.</em>
+<a class="jxr_linenumber" name="L53" href="#L53">53</a>  <em class="jxr_javadoccomment">     */</em>
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+<a class="jxr_linenumber" name="L56" href="#L56">56</a>      <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L57" href="#L57">57</a>  <em class="jxr_javadoccomment">     * Real-valued function that operate on an array or a part of it.</em>
+<a class="jxr_linenumber" name="L58" href="#L58">58</a>  <em class="jxr_javadoccomment">     * @since 3.1</em>
+<a class="jxr_linenumber" name="L59" href="#L59">59</a>  <em class="jxr_javadoccomment">     */</em>
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+<a class="jxr_linenumber" name="L61" href="#L61">61</a>          <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L62" href="#L62">62</a>  <em class="jxr_javadoccomment">         * Operates on an entire array.</em>
+<a class="jxr_linenumber" name="L63" href="#L63">63</a>  <em class="jxr_javadoccomment">         *</em>
+<a class="jxr_linenumber" name="L64" href="#L64">64</a>  <em class="jxr_javadoccomment">         * @param array Array to operate on.</em>
+<a class="jxr_linenumber" name="L65" href="#L65">65</a>  <em class="jxr_javadoccomment">         * @return the result of the operation.</em>
+<a class="jxr_linenumber" name="L66" href="#L66">66</a>  <em class="jxr_javadoccomment">         */</em>
+<a class="jxr_linenumber" name="L67" href="#L67">67</a>          <strong class="jxr_keyword">double</strong> evaluate(<strong class="jxr_keyword">double</strong>[] array);
+<a class="jxr_linenumber" name="L68" href="#L68">68</a>          <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L69" href="#L69">69</a>  <em class="jxr_javadoccomment">         * @param array Array to operate on.</em>
+<a class="jxr_linenumber" name="L70" href="#L70">70</a>  <em class="jxr_javadoccomment">         * @param startIndex Index of the first element to take into account.</em>
+<a class="jxr_linenumber" name="L71" href="#L71">71</a>  <em class="jxr_javadoccomment">         * @param numElements Number of elements to take into account.</em>
+<a class="jxr_linenumber" name="L72" href="#L72">72</a>  <em class="jxr_javadoccomment">         * @return the result of the operation.</em>
+<a class="jxr_linenumber" name="L73" href="#L73">73</a>  <em class="jxr_javadoccomment">         */</em>
+<a class="jxr_linenumber" name="L74" href="#L74">74</a>          <strong class="jxr_keyword">double</strong> evaluate(<strong class="jxr_keyword">double</strong>[] array,
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+<a class="jxr_linenumber" name="L76" href="#L76">76</a>                          <strong class="jxr_keyword">int</strong> numElements);
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+<a class="jxr_linenumber" name="L79" href="#L79">79</a>      <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L80" href="#L80">80</a>  <em class="jxr_javadoccomment">     * Create a copy of an array scaled by a value.</em>
+<a class="jxr_linenumber" name="L81" href="#L81">81</a>  <em class="jxr_javadoccomment">     *</em>
+<a class="jxr_linenumber" name="L82" href="#L82">82</a>  <em class="jxr_javadoccomment">     * @param arr Array to scale.</em>
+<a class="jxr_linenumber" name="L83" href="#L83">83</a>  <em class="jxr_javadoccomment">     * @param val Scalar.</em>
+<a class="jxr_linenumber" name="L84" href="#L84">84</a>  <em class="jxr_javadoccomment">     * @return scaled copy of array with each entry multiplied by val.</em>
+<a class="jxr_linenumber" name="L85" href="#L85">85</a>  <em class="jxr_javadoccomment">     * @since 3.2</em>
+<a class="jxr_linenumber" name="L86" href="#L86">86</a>  <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L87" href="#L87">87</a>      <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">double</strong>[] scale(<strong class="jxr_keyword">double</strong> val, <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong>[] arr) {
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+<a class="jxr_linenumber" name="L96" href="#L96">96</a>  <em class="jxr_javadoccomment">     * &lt;p&gt;Multiply each element of an array by a value.&lt;/p&gt;</em>
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+<a class="jxr_linenumber" name="L98" href="#L98">98</a>  <em class="jxr_javadoccomment">     * &lt;p&gt;The array is modified in place (no copy is created).&lt;/p&gt;</em>
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-<a class="jxr_linenumber" name="L142" href="#L142">142</a> <em class="jxr_javadoccomment">     * @since 3.1</em>
-<a class="jxr_linenumber" name="L143" href="#L143">143</a> <em class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L144" href="#L144">144</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">double</strong>[] ebeSubtract(<strong class="jxr_keyword">double</strong>[] a, <strong class="jxr_keyword">double</strong>[] b)
-<a class="jxr_linenumber" name="L145" href="#L145">145</a>         <strong class="jxr_keyword">throws</strong> <a href="../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html">DimensionMismatchException</a> {
-<a class="jxr_linenumber" name="L146" href="#L146">146</a>         <strong class="jxr_keyword">if</strong> (a.length != b.length) {
-<a class="jxr_linenumber" name="L147" href="#L147">147</a>             <strong class="jxr_keyword">throw</strong> <strong class="jxr_keyword">new</strong> <a href="../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html">DimensionMismatchException</a>(a.length, b.length);
-<a class="jxr_linenumber" name="L148" href="#L148">148</a>         }
-<a class="jxr_linenumber" name="L149" href="#L149">149</a> 
-<a class="jxr_linenumber" name="L150" href="#L150">150</a>         <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong>[] result = a.clone();
-<a class="jxr_linenumber" name="L151" href="#L151">151</a>         <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i &lt; a.length; i++) {
-<a class="jxr_linenumber" name="L152" href="#L152">152</a>             result[i] -= b[i];
-<a class="jxr_linenumber" name="L153" href="#L153">153</a>         }
-<a class="jxr_linenumber" name="L154" href="#L154">154</a>         <strong class="jxr_keyword">return</strong> result;
-<a class="jxr_linenumber" name="L155" href="#L155">155</a>     }
-<a class="jxr_linenumber" name="L156" href="#L156">156</a>     <em class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L157" href="#L157">157</a> <em class="jxr_javadoccomment">     * Creates an array whose contents will be the element-by-element</em>
-<a class="jxr_linenumber" name="L158" href="#L158">158</a> <em class="jxr_javadoccomment">     * multiplication of the arguments.</em>
-<a class="jxr_linenumber" name="L159" href="#L159">159</a> <em class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L160" href="#L160">160</a> <em class="jxr_javadoccomment">     * @param a First factor of the multiplication.</em>
-<a class="jxr_linenumber" name="L161" href="#L161">161</a> <em class="jxr_javadoccomment">     * @param b Second factor of the multiplication.</em>
-<a class="jxr_linenumber" name="L162" href="#L162">162</a> <em class="jxr_javadoccomment">     * @return a new array {@code r} where {@code r[i] = a[i] * b[i]}.</em>
-<a class="jxr_linenumber" name="L163" href="#L163">163</a> <em class="jxr_javadoccomment">     * @throws DimensionMismatchException if the array lengths differ.</em>
-<a class="jxr_linenumber" name="L164" href="#L164">164</a> <em class="jxr_javadoccomment">     * @since 3.1</em>
-<a class="jxr_linenumber" name="L165" href="#L165">165</a> <em class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L166" href="#L166">166</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">double</strong>[] ebeMultiply(<strong class="jxr_keyword">double</strong>[] a, <strong class="jxr_keyword">double</strong>[] b)
-<a class="jxr_linenumber" name="L167" href="#L167">167</a>         <strong class="jxr_keyword">throws</strong> <a href="../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html">DimensionMismatchException</a> {
-<a class="jxr_linenumber" name="L168" href="#L168">168</a>         <strong class="jxr_keyword">if</strong> (a.length != b.length) {
-<a class="jxr_linenumber" name="L169" href="#L169">169</a>             <strong class="jxr_keyword">throw</strong> <strong class="jxr_keyword">new</strong> <a href="../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html">DimensionMismatchException</a>(a.length, b.length);
-<a class="jxr_linenumber" name="L170" href="#L170">170</a>         }
-<a class="jxr_linenumber" name="L171" href="#L171">171</a> 
-<a class="jxr_linenumber" name="L172" href="#L172">172</a>         <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong>[] result = a.clone();
-<a class="jxr_linenumber" name="L173" href="#L173">173</a>         <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i &lt; a.length; i++) {
-<a class="jxr_linenumber" name="L174" href="#L174">174</a>             result[i] *= b[i];
-<a class="jxr_linenumber" name="L175" href="#L175">175</a>         }
-<a class="jxr_linenumber" name="L176" href="#L176">176</a>         <strong class="jxr_keyword">return</strong> result;
-<a class="jxr_linenumber" name="L177" href="#L177">177</a>     }
-<a class="jxr_linenumber" name="L178" href="#L178">178</a>     <em class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L179" href="#L179">179</a> <em class="jxr_javadoccomment">     * Creates an array whose contents will be the element-by-element</em>
-<a class="jxr_linenumber" name="L180" href="#L180">180</a> <em class="jxr_javadoccomment">     * division of the first argument by the second.</em>
-<a class="jxr_linenumber" name="L181" href="#L181">181</a> <em class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L182" href="#L182">182</a> <em class="jxr_javadoccomment">     * @param a Numerator of the division.</em>
-<a class="jxr_linenumber" name="L183" href="#L183">183</a> <em class="jxr_javadoccomment">     * @param b Denominator of the division.</em>
-<a class="jxr_linenumber" name="L184" href="#L184">184</a> <em class="jxr_javadoccomment">     * @return a new array {@code r} where {@code r[i] = a[i] / b[i]}.</em>
-<a class="jxr_linenumber" name="L185" href="#L185">185</a> <em class="jxr_javadoccomment">     * @throws DimensionMismatchException if the array lengths differ.</em>
-<a class="jxr_linenumber" name="L186" href="#L186">186</a> <em class="jxr_javadoccomment">     * @since 3.1</em>
-<a class="jxr_linenumber" name="L187" href="#L187">187</a> <em class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L188" href="#L188">188</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">double</strong>[] ebeDivide(<strong class="jxr_keyword">double</strong>[] a, <strong class="jxr_keyword">double</strong>[] b)
-<a class="jxr_linenumber" name="L189" href="#L189">189</a>         <strong class="jxr_keyword">throws</strong> <a href="../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html">DimensionMismatchException</a> {
-<a class="jxr_linenumber" name="L190" href="#L190">190</a>         <strong class="jxr_keyword">if</strong> (a.length != b.length) {
-<a class="jxr_linenumber" name="L191" href="#L191">191</a>             <strong class="jxr_keyword">throw</strong> <strong class="jxr_keyword">new</strong> <a href="../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html">DimensionMismatchException</a>(a.length, b.length);
-<a class="jxr_linenumber" name="L192" href="#L192">192</a>         }
-<a class="jxr_linenumber" name="L193" href="#L193">193</a> 
-<a class="jxr_linenumber" name="L194" href="#L194">194</a>         <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong>[] result = a.clone();
-<a class="jxr_linenumber" name="L195" href="#L195">195</a>         <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i &lt; a.length; i++) {
-<a class="jxr_linenumber" name="L196" href="#L196">196</a>             result[i] /= b[i];
-<a class="jxr_linenumber" name="L197" href="#L197">197</a>         }
-<a class="jxr_linenumber" name="L198" href="#L198">198</a>         <strong class="jxr_keyword">return</strong> result;
-<a class="jxr_linenumber" name="L199" href="#L199">199</a>     }
-<a class="jxr_linenumber" name="L200" href="#L200">200</a> 
-<a class="jxr_linenumber" name="L201" href="#L201">201</a>     <em class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L202" href="#L202">202</a> <em class="jxr_javadoccomment">     * Calculates the L&lt;sub&gt;1&lt;/sub&gt; (sum of abs) distance between two points.</em>
-<a class="jxr_linenumber" name="L203" href="#L203">203</a> <em class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L204" href="#L204">204</a> <em class="jxr_javadoccomment">     * @param p1 the first point</em>
-<a class="jxr_linenumber" name="L205" href="#L205">205</a> <em class="jxr_javadoccomment">     * @param p2 the second point</em>
-<a class="jxr_linenumber" name="L206" href="#L206">206</a> <em class="jxr_javadoccomment">     * @return the L&lt;sub&gt;1&lt;/sub&gt; distance between the two points</em>
-<a class="jxr_linenumber" name="L207" href="#L207">207</a> <em class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L208" href="#L208">208</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">double</strong> distance1(<strong class="jxr_keyword">double</strong>[] p1, <strong class="jxr_keyword">double</strong>[] p2) {
-<a class="jxr_linenumber" name="L209" href="#L209">209</a>         <strong class="jxr_keyword">double</strong> sum = 0;
-<a class="jxr_linenumber" name="L210" href="#L210">210</a>         <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i &lt; p1.length; i++) {
-<a class="jxr_linenumber" name="L211" href="#L211">211</a>             sum += FastMath.abs(p1[i] - p2[i]);
-<a class="jxr_linenumber" name="L212" href="#L212">212</a>         }
-<a class="jxr_linenumber" name="L213" href="#L213">213</a>         <strong class="jxr_keyword">return</strong> sum;
-<a class="jxr_linenumber" name="L214" href="#L214">214</a>     }
-<a class="jxr_linenumber" name="L215" href="#L215">215</a> 
-<a class="jxr_linenumber" name="L216" href="#L216">216</a>     <em class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L217" href="#L217">217</a> <em class="jxr_javadoccomment">     * Calculates the L&lt;sub&gt;1&lt;/sub&gt; (sum of abs) distance between two points.</em>
-<a class="jxr_linenumber" name="L218" href="#L218">218</a> <em class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L219" href="#L219">219</a> <em class="jxr_javadoccomment">     * @param p1 the first point</em>
-<a class="jxr_linenumber" name="L220" href="#L220">220</a> <em class="jxr_javadoccomment">     * @param p2 the second point</em>
-<a class="jxr_linenumber" name="L221" href="#L221">221</a> <em class="jxr_javadoccomment">     * @return the L&lt;sub&gt;1&lt;/sub&gt; distance between the two points</em>
-<a class="jxr_linenumber" name="L222" href="#L222">222</a> <em class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L223" href="#L223">223</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">int</strong> distance1(<strong class="jxr_keyword">int</strong>[] p1, <strong class="jxr_keyword">int</strong>[] p2) {
-<a class="jxr_linenumber" name="L224" href="#L224">224</a>       <strong class="jxr_keyword">int</strong> sum = 0;
-<a class="jxr_linenumber" name="L225" href="#L225">225</a>       <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i &lt; p1.length; i++) {
-<a class="jxr_linenumber" name="L226" href="#L226">226</a>           sum += FastMath.abs(p1[i] - p2[i]);
-<a class="jxr_linenumber" name="L227" href="#L227">227</a>       }
-<a class="jxr_linenumber" name="L228" href="#L228">228</a>       <strong class="jxr_keyword">return</strong> sum;
-<a class="jxr_linenumber" name="L229" href="#L229">229</a>     }
-<a class="jxr_linenumber" name="L230" href="#L230">230</a> 
-<a class="jxr_linenumber" name="L231" href="#L231">231</a>     <em class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L232" href="#L232">232</a> <em class="jxr_javadoccomment">     * Calculates the L&lt;sub&gt;2&lt;/sub&gt; (Euclidean) distance between two points.</em>
-<a class="jxr_linenumber" name="L233" href="#L233">233</a> <em class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L234" href="#L234">234</a> <em class="jxr_javadoccomment">     * @param p1 the first point</em>
-<a class="jxr_linenumber" name="L235" href="#L235">235</a> <em class="jxr_javadoccomment">     * @param p2 the second point</em>
-<a class="jxr_linenumber" name="L236" href="#L236">236</a> <em class="jxr_javadoccomment">     * @return the L&lt;sub&gt;2&lt;/sub&gt; distance between the two points</em>
-<a class="jxr_linenumber" name="L237" href="#L237">237</a> <em class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L238" href="#L238">238</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">double</strong> distance(<strong class="jxr_keyword">double</strong>[] p1, <strong class="jxr_keyword">double</strong>[] p2) {
-<a class="jxr_linenumber" name="L239" href="#L239">239</a>         <strong class="jxr_keyword">double</strong> sum = 0;
-<a class="jxr_linenumber" name="L240" href="#L240">240</a>         <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i &lt; p1.length; i++) {
-<a class="jxr_linenumber" name="L241" href="#L241">241</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> dp = p1[i] - p2[i];
-<a class="jxr_linenumber" name="L242" href="#L242">242</a>             sum += dp * dp;
-<a class="jxr_linenumber" name="L243" href="#L243">243</a>         }
-<a class="jxr_linenumber" name="L244" href="#L244">244</a>         <strong class="jxr_keyword">return</strong> FastMath.sqrt(sum);
-<a class="jxr_linenumber" name="L245" href="#L245">245</a>     }
-<a class="jxr_linenumber" name="L246" href="#L246">246</a> 
-<a class="jxr_linenumber" name="L247" href="#L247">247</a>     <em class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L248" href="#L248">248</a> <em class="jxr_javadoccomment">     * Calculates the L&lt;sub&gt;2&lt;/sub&gt; (Euclidean) distance between two points.</em>
-<a class="jxr_linenumber" name="L249" href="#L249">249</a> <em class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L250" href="#L250">250</a> <em class="jxr_javadoccomment">     * @param p1 the first point</em>
-<a class="jxr_linenumber" name="L251" href="#L251">251</a> <em class="jxr_javadoccomment">     * @param p2 the second point</em>
-<a class="jxr_linenumber" name="L252" href="#L252">252</a> <em class="jxr_javadoccomment">     * @return the L&lt;sub&gt;2&lt;/sub&gt; distance between the two points</em>
-<a class="jxr_linenumber" name="L253" href="#L253">253</a> <em class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L254" href="#L254">254</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">double</strong> distance(<strong class="jxr_keyword">int</strong>[] p1, <strong class="jxr_keyword">int</strong>[] p2) {
-<a class="jxr_linenumber" name="L255" href="#L255">255</a>       <strong class="jxr_keyword">double</strong> sum = 0;
-<a class="jxr_linenumber" name="L256" href="#L256">256</a>       <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i &lt; p1.length; i++) {
-<a class="jxr_linenumber" name="L257" href="#L257">257</a>           <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> dp = p1[i] - p2[i];
-<a class="jxr_linenumber" name="L258" href="#L258">258</a>           sum += dp * dp;
-<a class="jxr_linenumber" name="L259" href="#L259">259</a>       }
-<a class="jxr_linenumber" name="L260" href="#L260">260</a>       <strong class="jxr_keyword">return</strong> FastMath.sqrt(sum);
-<a class="jxr_linenumber" name="L261" href="#L261">261</a>     }
-<a class="jxr_linenumber" name="L262" href="#L262">262</a> 
-<a class="jxr_linenumber" name="L263" href="#L263">263</a>     <em class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L264" href="#L264">264</a> <em class="jxr_javadoccomment">     * Calculates the L&lt;sub&gt;&amp;infin;&lt;/sub&gt; (max of abs) distance between two points.</em>
-<a class="jxr_linenumber" name="L265" href="#L265">265</a> <em class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L266" href="#L266">266</a> <em class="jxr_javadoccomment">     * @param p1 the first point</em>
-<a class="jxr_linenumber" name="L267" href="#L267">267</a> <em class="jxr_javadoccomment">     * @param p2 the second point</em>
-<a class="jxr_linenumber" name="L268" href="#L268">268</a> <em class="jxr_javadoccomment">     * @return the L&lt;sub&gt;&amp;infin;&lt;/sub&gt; distance between the two points</em>
-<a class="jxr_linenumber" name="L269" href="#L269">269</a> <em class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L270" href="#L270">270</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">double</strong> distanceInf(<strong class="jxr_keyword">double</strong>[] p1, <strong class="jxr_keyword">double</strong>[] p2) {
-<a class="jxr_linenumber" name="L271" href="#L271">271</a>         <strong class="jxr_keyword">double</strong> max = 0;
-<a class="jxr_linenumber" name="L272" href="#L272">272</a>         <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i &lt; p1.length; i++) {
-<a class="jxr_linenumber" name="L273" href="#L273">273</a>             max = FastMath.max(max, FastMath.abs(p1[i] - p2[i]));
-<a class="jxr_linenumber" name="L274" href="#L274">274</a>         }
-<a class="jxr_linenumber" name="L275" href="#L275">275</a>         <strong class="jxr_keyword">return</strong> max;
-<a class="jxr_linenumber" name="L276" href="#L276">276</a>     }
-<a class="jxr_linenumber" name="L277" href="#L277">277</a> 
-<a class="jxr_linenumber" name="L278" href="#L278">278</a>     <em class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L279" href="#L279">279</a> <em class="jxr_javadoccomment">     * Calculates the L&lt;sub&gt;&amp;infin;&lt;/sub&gt; (max of abs) distance between two points.</em>
-<a class="jxr_linenumber" name="L280" href="#L280">280</a> <em class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L281" href="#L281">281</a> <em class="jxr_javadoccomment">     * @param p1 the first point</em>
-<a class="jxr_linenumber" name="L282" href="#L282">282</a> <em class="jxr_javadoccomment">     * @param p2 the second point</em>
-<a class="jxr_linenumber" name="L283" href="#L283">283</a> <em class="jxr_javadoccomment">     * @return the L&lt;sub&gt;&amp;infin;&lt;/sub&gt; distance between the two points</em>
-<a class="jxr_linenumber" name="L284" href="#L284">284</a> <em class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L285" href="#L285">285</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">int</strong> distanceInf(<strong class="jxr_keyword">int</strong>[] p1, <strong class="jxr_keyword">int</strong>[] p2) {
-<a class="jxr_linenumber" name="L286" href="#L286">286</a>         <strong class="jxr_keyword">int</strong> max = 0;
-<a class="jxr_linenumber" name="L287" href="#L287">287</a>         <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i &lt; p1.length; i++) {
-<a class="jxr_linenumber" name="L288" href="#L288">288</a>             max = FastMath.max(max, FastMath.abs(p1[i] - p2[i]));
-<a class="jxr_linenumber" name="L289" href="#L289">289</a>         }
-<a class="jxr_linenumber" name="L290" href="#L290">290</a>         <strong class="jxr_keyword">return</strong> max;
-<a class="jxr_linenumber" name="L291" href="#L291">291</a>     }
-<a class="jxr_linenumber" name="L292" href="#L292">292</a> 
-<a class="jxr_linenumber" name="L293" href="#L293">293</a>     <em class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L294" href="#L294">294</a> <em class="jxr_javadoccomment">     * Specification of ordering direction.</em>
-<a class="jxr_linenumber" name="L295" href="#L295">295</a> <em class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L296" href="#L296">296</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">static</strong> enum <a href="../../../../../org/apache/commons/math3/util/MathArrays.html">OrderDirection</a> {
-<a class="jxr_linenumber" name="L297" href="#L297">297</a>         <em class="jxr_javadoccomment">/** Constant for increasing direction. */</em>
-<a class="jxr_linenumber" name="L298" href="#L298">298</a>         INCREASING,
-<a class="jxr_linenumber" name="L299" href="#L299">299</a>         <em class="jxr_javadoccomment">/** Constant for decreasing direction. */</em>
-<a class="jxr_linenumber" name="L300" href="#L300">300</a>         DECREASING
-<a class="jxr_linenumber" name="L301" href="#L301">301</a>     }
-<a class="jxr_linenumber" name="L302" href="#L302">302</a> 
-<a class="jxr_linenumber" name="L303" href="#L303">303</a>     <em class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L304" href="#L304">304</a> <em class="jxr_javadoccomment">     * Check that an array is monotonically increasing or decreasing.</em>
-<a class="jxr_linenumber" name="L305" href="#L305">305</a> <em class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L306" href="#L306">306</a> <em class="jxr_javadoccomment">     * @param &lt;T&gt; the type of the elements in the specified array</em>
-<a class="jxr_linenumber" name="L307" href="#L307">307</a> <em class="jxr_javadoccomment">     * @param val Values.</em>
-<a class="jxr_linenumber" name="L308" href="#L308">308</a> <em class="jxr_javadoccomment">     * @param dir Ordering direction.</em>
-<a class="jxr_linenumber" name="L309" href="#L309">309</a> <em class="jxr_javadoccomment">     * @param strict Whether the order should be strict.</em>
-<a class="jxr_linenumber" name="L310" href="#L310">310</a> <em class="jxr_javadoccomment">     * @return {@code true} if sorted, {@code false} otherwise.</em>
-<a class="jxr_linenumber" name="L311" href="#L311">311</a> <em class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L312" href="#L312">312</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">static</strong>  &lt;T <strong class="jxr_keyword">extends</strong> Comparable&lt;? <strong class="jxr_keyword">super</strong> T&gt;&gt; <strong class="jxr_keyword">boolean</strong> isMonotonic(T[] val,
-<a class="jxr_linenumber" name="L313" href="#L313">313</a>                                       <a href="../../../../../org/apache/commons/math3/util/MathArrays.html">OrderDirection</a> dir,
-<a class="jxr_linenumber" name="L314" href="#L314">314</a>                                       <strong class="jxr_keyword">boolean</strong> strict) {
-<a class="jxr_linenumber" name="L315" href="#L315">315</a>         T previous = val[0];
-<a class="jxr_linenumber" name="L316" href="#L316">316</a>         <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">int</strong> max = val.length;
-<a class="jxr_linenumber" name="L317" href="#L317">317</a>         <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 1; i &lt; max; i++) {
-<a class="jxr_linenumber" name="L318" href="#L318">318</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">int</strong> comp;
-<a class="jxr_linenumber" name="L319" href="#L319">319</a>             <strong class="jxr_keyword">switch</strong> (dir) {
-<a class="jxr_linenumber" name="L320" href="#L320">320</a>             <strong class="jxr_keyword">case</strong> INCREASING:
-<a class="jxr_linenumber" name="L321" href="#L321">321</a>                 comp = previous.compareTo(val[i]);
-<a class="jxr_linenumber" name="L322" href="#L322">322</a>                 <strong class="jxr_keyword">if</strong> (strict) {
-<a class="jxr_linenumber" name="L323" href="#L323">323</a>                     <strong class="jxr_keyword">if</strong> (comp &gt;= 0) {
-<a class="jxr_linenumber" name="L324" href="#L324">324</a>                         <strong class="jxr_keyword">return</strong> false;
-<a class="jxr_linenumber" name="L325" href="#L325">325</a>                     }
-<a class="jxr_linenumber" name="L326" href="#L326">326</a>                 } <strong class="jxr_keyword">else</strong> {
-<a class="jxr_linenumber" name="L327" href="#L327">327</a>                     <strong class="jxr_keyword">if</strong> (comp &gt; 0) {
-<a class="jxr_linenumber" name="L328" href="#L328">328</a>                         <strong class="jxr_keyword">return</strong> false;
-<a class="jxr_linenumber" name="L329" href="#L329">329</a>                     }
-<a class="jxr_linenumber" name="L330" href="#L330">330</a>                 }
-<a class="jxr_linenumber" name="L331" href="#L331">331</a>                 <strong class="jxr_keyword">break</strong>;
-<a class="jxr_linenumber" name="L332" href="#L332">332</a>             <strong class="jxr_keyword">case</strong> DECREASING:
-<a class="jxr_linenumber" name="L333" href="#L333">333</a>                 comp = val[i].compareTo(previous);
-<a class="jxr_linenumber" name="L334" href="#L334">334</a>                 <strong class="jxr_keyword">if</strong> (strict) {
-<a class="jxr_linenumber" name="L335" href="#L335">335</a>                     <strong class="jxr_keyword">if</strong> (comp &gt;= 0) {
-<a class="jxr_linenumber" name="L336" href="#L336">336</a>                         <strong class="jxr_keyword">return</strong> false;
-<a class="jxr_linenumber" name="L337" href="#L337">337</a>                     }
-<a class="jxr_linenumber" name="L338" href="#L338">338</a>                 } <strong class="jxr_keyword">else</strong> {
-<a class="jxr_linenumber" name="L339" href="#L339">339</a>                     <strong class="jxr_keyword">if</strong> (comp &gt; 0) {
-<a class="jxr_linenumber" name="L340" href="#L340">340</a>                        <strong class="jxr_keyword">return</strong> false;
-<a class="jxr_linenumber" name="L341" href="#L341">341</a>                     }
-<a class="jxr_linenumber" name="L342" href="#L342">342</a>                 }
-<a class="jxr_linenumber" name="L343" href="#L343">343</a>                 <strong class="jxr_keyword">break</strong>;
-<a class="jxr_linenumber" name="L344" href="#L344">344</a>             <strong class="jxr_keyword">default</strong>:
-<a class="jxr_linenumber" name="L345" href="#L345">345</a>                 <em class="jxr_comment">// Should never happen.</em>
-<a class="jxr_linenumber" name="L346" href="#L346">346</a>                 <strong class="jxr_keyword">throw</strong> <strong class="jxr_keyword">new</strong> <a href="../../../../../org/apache/commons/math3/exception/MathInternalError.html">MathInternalError</a>();
-<a class="jxr_linenumber" name="L347" href="#L347">347</a>             }
-<a class="jxr_linenumber" name="L348" href="#L348">348</a> 
-<a class="jxr_linenumber" name="L349" href="#L349">349</a>             previous = val[i];
-<a class="jxr_linenumber" name="L350" href="#L350">350</a>         }
-<a class="jxr_linenumber" name="L351" href="#L351">351</a>         <strong class="jxr_keyword">return</strong> <strong class="jxr_keyword">true</strong>;
-<a class="jxr_linenumber" name="L352" href="#L352">352</a>     }
-<a class="jxr_linenumber" name="L353" href="#L353">353</a> 
-<a class="jxr_linenumber" name="L354" href="#L354">354</a>     <em class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L355" href="#L355">355</a> <em class="jxr_javadoccomment">     * Check that an array is monotonically increasing or decreasing.</em>
-<a class="jxr_linenumber" name="L356" href="#L356">356</a> <em class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L357" href="#L357">357</a> <em class="jxr_javadoccomment">     * @param val Values.</em>
-<a class="jxr_linenumber" name="L358" href="#L358">358</a> <em class="jxr_javadoccomment">     * @param dir Ordering direction.</em>
-<a class="jxr_linenumber" name="L359" href="#L359">359</a> <em class="jxr_javadoccomment">     * @param strict Whether the order should be strict.</em>
-<a class="jxr_linenumber" name="L360" href="#L360">360</a> <em class="jxr_javadoccomment">     * @return {@code true} if sorted, {@code false} otherwise.</em>
-<a class="jxr_linenumber" name="L361" href="#L361">361</a> <em class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L362" href="#L362">362</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">boolean</strong> isMonotonic(<strong class="jxr_keyword">double</strong>[] val, <a href="../../../../../org/apache/commons/math3/util/MathArrays.html">OrderDirection</a> dir, <strong class="jxr_keyword">boolean</strong> strict) {
-<a class="jxr_linenumber" name="L363" href="#L363">363</a>         <strong class="jxr_keyword">return</strong> checkOrder(val, dir, strict, false);
-<a class="jxr_linenumber" name="L364" href="#L364">364</a>     }
-<a class="jxr_linenumber" name="L365" href="#L365">365</a> 
-<a class="jxr_linenumber" name="L366" href="#L366">366</a>     <em class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L367" href="#L367">367</a> <em class="jxr_javadoccomment">     * Check that the given array is sorted.</em>
-<a class="jxr_linenumber" name="L368" href="#L368">368</a> <em class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L369" href="#L369">369</a> <em class="jxr_javadoccomment">     * @param val Values.</em>
-<a class="jxr_linenumber" name="L370" href="#L370">370</a> <em class="jxr_javadoccomment">     * @param dir Ordering direction.</em>
-<a class="jxr_linenumber" name="L371" href="#L371">371</a> <em class="jxr_javadoccomment">     * @param strict Whether the order should be strict.</em>
-<a class="jxr_linenumber" name="L372" href="#L372">372</a> <em class="jxr_javadoccomment">     * @param abort Whether to throw an exception if the check fails.</em>
-<a class="jxr_linenumber" name="L373" href="#L373">373</a> <em class="jxr_javadoccomment">     * @return {@code true} if the array is sorted.</em>
-<a class="jxr_linenumber" name="L374" href="#L374">374</a> <em class="jxr_javadoccomment">     * @throws NonMonotonicSequenceException if the array is not sorted</em>
-<a class="jxr_linenumber" name="L375" href="#L375">375</a> <em class="jxr_javadoccomment">     * and {@code abort} is {@code true}.</em>
-<a class="jxr_linenumber" name="L376" href="#L376">376</a> <em class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L377" href="#L377">377</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">boolean</strong> checkOrder(<strong class="jxr_keyword">double</strong>[] val, <a href="../../../../../org/apache/commons/math3/util/MathArrays.html">OrderDirection</a> dir,
-<a class="jxr_linenumber" name="L378" href="#L378">378</a>                                      <strong class="jxr_keyword">boolean</strong> strict, <strong class="jxr_keyword">boolean</strong> abort)
-<a class="jxr_linenumber" name="L379" href="#L379">379</a>         <strong class="jxr_keyword">throws</strong> <a href="../../../../../org/apache/commons/math3/exception/NonMonotonicSequenceException.html">NonMonotonicSequenceException</a> {
-<a class="jxr_linenumber" name="L380" href="#L380">380</a>         <strong class="jxr_keyword">double</strong> previous = val[0];
-<a class="jxr_linenumber" name="L381" href="#L381">381</a>         <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">int</strong> max = val.length;
-<a class="jxr_linenumber" name="L382" href="#L382">382</a> 
-<a class="jxr_linenumber" name="L383" href="#L383">383</a>         <strong class="jxr_keyword">int</strong> index;
-<a class="jxr_linenumber" name="L384" href="#L384">384</a>         ITEM:
-<a class="jxr_linenumber" name="L385" href="#L385">385</a>         <strong class="jxr_keyword">for</strong> (index = 1; index &lt; max; index++) {
-<a class="jxr_linenumber" name="L386" href="#L386">386</a>             <strong class="jxr_keyword">switch</strong> (dir) {
-<a class="jxr_linenumber" name="L387" href="#L387">387</a>             <strong class="jxr_keyword">case</strong> INCREASING:
-<a class="jxr_linenumber" name="L388" href="#L388">388</a>                 <strong class="jxr_keyword">if</strong> (strict) {
-<a class="jxr_linenumber" name="L389" href="#L389">389</a>                     <strong class="jxr_keyword">if</strong> (val[index] &lt;= previous) {
-<a class="jxr_linenumber" name="L390" href="#L390">390</a>                         <strong class="jxr_keyword">break</strong> ITEM;
-<a class="jxr_linenumber" name="L391" href="#L391">391</a>                     }
-<a class="jxr_linenumber" name="L392" href="#L392">392</a>                 } <strong class="jxr_keyword">else</strong> {
-<a class="jxr_linenumber" name="L393" href="#L393">393</a>                     <strong class="jxr_keyword">if</strong> (val[index] &lt; previous) {
-<a class="jxr_linenumber" name="L394" href="#L394">394</a>                         <strong class="jxr_keyword">break</strong> ITEM;
-<a class="jxr_linenumber" name="L395" href="#L395">395</a>                     }
-<a class="jxr_linenumber" name="L396" href="#L396">396</a>                 }
-<a class="jxr_linenumber" name="L397" href="#L397">397</a>                 <strong class="jxr_keyword">break</strong>;
-<a class="jxr_linenumber" name="L398" href="#L398">398</a>             <strong class="jxr_keyword">case</strong> DECREASING:
-<a class="jxr_linenumber" name="L399" href="#L399">399</a>                 <strong class="jxr_keyword">if</strong> (strict) {
-<a class="jxr_linenumber" name="L400" href="#L400">400</a>                     <strong class="jxr_keyword">if</strong> (val[index] &gt;= previous) {
-<a class="jxr_linenumber" name="L401" href="#L401">401</a>                         <strong class="jxr_keyword">break</strong> ITEM;
-<a class="jxr_linenumber" name="L402" href="#L402">402</a>                     }
-<a class="jxr_linenumber" name="L403" href="#L403">403</a>                 } <strong class="jxr_keyword">else</strong> {
-<a class="jxr_linenumber" name="L404" href="#L404">404</a>                     <strong class="jxr_keyword">if</strong> (val[index] &gt; previous) {
-<a class="jxr_linenumber" name="L405" href="#L405">405</a>                         <strong class="jxr_keyword">break</strong> ITEM;
-<a class="jxr_linenumber" name="L406" href="#L406">406</a>                     }
-<a class="jxr_linenumber" name="L407" href="#L407">407</a>                 }
-<a class="jxr_linenumber" name="L408" href="#L408">408</a>                 <strong class="jxr_keyword">break</strong>;
-<a class="jxr_linenumber" name="L409" href="#L409">409</a>             <strong class="jxr_keyword">default</strong>:
-<a class="jxr_linenumber" name="L410" href="#L410">410</a>                 <em class="jxr_comment">// Should never happen.</em>
-<a class="jxr_linenumber" name="L411" href="#L411">411</a>                 <strong class="jxr_keyword">throw</strong> <strong class="jxr_keyword">new</strong> <a href="../../../../../org/apache/commons/math3/exception/MathInternalError.html">MathInternalError</a>();
-<a class="jxr_linenumber" name="L412" href="#L412">412</a>             }
-<a class="jxr_linenumber" name="L413" href="#L413">413</a> 
-<a class="jxr_linenumber" name="L414" href="#L414">414</a>             previous = val[index];
-<a class="jxr_linenumber" name="L415" href="#L415">415</a>         }
-<a class="jxr_linenumber" name="L416" href="#L416">416</a> 
-<a class="jxr_linenumber" name="L417" href="#L417">417</a>         <strong class="jxr_keyword">if</strong> (index == max) {
-<a class="jxr_linenumber" name="L418" href="#L418">418</a>             <em class="jxr_comment">// Loop completed.</em>
-<a class="jxr_linenumber" name="L419" href="#L419">419</a>             <strong class="jxr_keyword">return</strong> <strong class="jxr_keyword">true</strong>;
-<a class="jxr_linenumber" name="L420" href="#L420">420</a>         }
-<a class="jxr_linenumber" name="L421" href="#L421">421</a> 
-<a class="jxr_linenumber" name="L422" href="#L422">422</a>         <em class="jxr_comment">// Loop early exit means wrong ordering.</em>
-<a class="jxr_linenumber" name="L423" href="#L423">423</a>         <strong class="jxr_keyword">if</strong> (abort) {
-<a class="jxr_linenumber" name="L424" href="#L424">424</a>             <strong class="jxr_keyword">throw</strong> <strong class="jxr_keyword">new</strong> <a href="../../../../../org/apache/commons/math3/exception/NonMonotonicSequenceException.html">NonMonotonicSequenceException</a>(val[index], previous, index, dir, strict);
-<a class="jxr_linenumber" name="L425" href="#L425">425</a>         } <strong class="jxr_keyword">else</strong> {
-<a class="jxr_linenumber" name="L426" href="#L426">426</a>             <strong class="jxr_keyword">return</strong> false;
-<a class="jxr_linenumber" name="L427" href="#L427">427</a>         }
-<a class="jxr_linenumber" name="L428" href="#L428">428</a>     }
-<a class="jxr_linenumber" name="L429" href="#L429">429</a> 
-<a class="jxr_linenumber" name="L430" href="#L430">430</a>     <em class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L431" href="#L431">431</a> <em class="jxr_javadoccomment">     * Check that the given array is sorted.</em>
-<a class="jxr_linenumber" name="L432" href="#L432">432</a> <em class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L433" href="#L433">433</a> <em class="jxr_javadoccomment">     * @param val Values.</em>
-<a class="jxr_linenumber" name="L434" href="#L434">434</a> <em class="jxr_javadoccomment">     * @param dir Ordering direction.</em>
-<a class="jxr_linenumber" name="L435" href="#L435">435</a> <em class="jxr_javadoccomment">     * @param strict Whether the order should be strict.</em>
-<a class="jxr_linenumber" name="L436" href="#L436">436</a> <em class="jxr_javadoccomment">     * @throws NonMonotonicSequenceException if the array is not sorted.</em>
-<a class="jxr_linenumber" name="L437" href="#L437">437</a> <em class="jxr_javadoccomment">     * @since 2.2</em>
-<a class="jxr_linenumber" name="L438" href="#L438">438</a> <em class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L439" href="#L439">439</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">void</strong> checkOrder(<strong class="jxr_keyword">double</strong>[] val, <a href="../../../../../org/apache/commons/math3/util/MathArrays.html">OrderDirection</a> dir,
-<a class="jxr_linenumber" name="L440" href="#L440">440</a>                                   <strong class="jxr_keyword">boolean</strong> strict) <strong class="jxr_keyword">throws</strong> NonMonotonicSequenceException {
-<a class="jxr_linenumber" name="L441" href="#L441">441</a>         checkOrder(val, dir, strict, <strong class="jxr_keyword">true</strong>);
-<a class="jxr_linenumber" name="L442" href="#L442">442</a>     }
-<a class="jxr_linenumber" name="L443" href="#L443">443</a> 
-<a class="jxr_linenumber" name="L444" href="#L444">444</a>     <em class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L445" href="#L445">445</a> <em class="jxr_javadoccomment">     * Check that the given array is sorted in strictly increasing order.</em>
-<a class="jxr_linenumber" name="L446" href="#L446">446</a> <em class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L447" href="#L447">447</a> <em class="jxr_javadoccomment">     * @param val Values.</em>
-<a class="jxr_linenumber" name="L448" href="#L448">448</a> <em class="jxr_javadoccomment">     * @throws NonMonotonicSequenceException if the array is not sorted.</em>
-<a class="jxr_linenumber" name="L449" href="#L449">449</a> <em class="jxr_javadoccomment">     * @since 2.2</em>
-<a class="jxr_linenumber" name="L450" href="#L450">450</a> <em class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L451" href="#L451">451</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">void</strong> checkOrder(<strong class="jxr_keyword">double</strong>[] val) <strong class="jxr_keyword">throws</strong> NonMonotonicSequenceException {
-<a class="jxr_linenumber" name="L452" href="#L452">452</a>         checkOrder(val, OrderDirection.INCREASING, <strong class="jxr_keyword">true</strong>);
-<a class="jxr_linenumber" name="L453" href="#L453">453</a>     }
-<a class="jxr_linenumber" name="L454" href="#L454">454</a> 
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-<a class="jxr_linenumber" name="L495" href="#L495">495</a> <em class="jxr_javadoccomment">     * @param in Array to be tested.</em>
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-<a class="jxr_linenumber" name="L511" href="#L511">511</a> <em class="jxr_javadoccomment">     * @param in Array to be tested</em>
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-<a class="jxr_linenumber" name="L525" href="#L525">525</a> <em class="jxr_javadoccomment">     * Check all entries of the input array are &gt;= 0.</em>
-<a class="jxr_linenumber" name="L526" href="#L526">526</a> <em class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L527" href="#L527">527</a> <em class="jxr_javadoccomment">     * @param in Array to be tested</em>
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-<a class="jxr_linenumber" name="L535" href="#L535">535</a>                 <strong class="jxr_keyword">if</strong> (in[i][j] &lt; 0) {
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-<a class="jxr_linenumber" name="L546" href="#L546">546</a> <em class="jxr_javadoccomment">     * The redistribution policy for MINPACK is available</em>
-<a class="jxr_linenumber" name="L547" href="#L547">547</a> <em class="jxr_javadoccomment">     * &lt;a href="<a href="http://www.netlib.org/minpack/disclaimer" target="alexandria_uri">http://www.netlib.org/minpack/disclaimer</a>"&gt;here&lt;/a&gt;, for</em>
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-<a class="jxr_linenumber" name="L565" href="#L565">565</a> <em class="jxr_javadoccomment">     *     with the distribution.&lt;/li&gt;</em>
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-<a class="jxr_linenumber" name="L571" href="#L571">571</a> <em class="jxr_javadoccomment">     *     if and wherever such third-party acknowledgments normally appear.&lt;/li&gt;</em>
-<a class="jxr_linenumber" name="L572" href="#L572">572</a> <em class="jxr_javadoccomment">     * &lt;li&gt;&lt;strong&gt;WARRANTY DISCLAIMER. THE SOFTWARE IS SUPPLIED "AS IS"</em>
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-<a class="jxr_linenumber" name="L595" href="#L595">595</a> <em class="jxr_javadoccomment">     * &lt;ol&gt;&lt;/td&gt;&lt;/tr&gt;</em>
-<a class="jxr_linenumber" name="L596" href="#L596">596</a> <em class="jxr_javadoccomment">     * &lt;/table&gt;</em>
-<a class="jxr_linenumber" name="L597" href="#L597">597</a> <em class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L598" href="#L598">598</a> <em class="jxr_javadoccomment">     * @param v Vector of doubles.</em>
-<a class="jxr_linenumber" name="L599" href="#L599">599</a> <em class="jxr_javadoccomment">     * @return the 2-norm of the vector.</em>
-<a class="jxr_linenumber" name="L600" href="#L600">600</a> <em class="jxr_javadoccomment">     * @since 2.2</em>
-<a class="jxr_linenumber" name="L601" href="#L601">601</a> <em class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L602" href="#L602">602</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">double</strong> safeNorm(<strong class="jxr_keyword">double</strong>[] v) {
-<a class="jxr_linenumber" name="L603" href="#L603">603</a>         <strong class="jxr_keyword">double</strong> rdwarf = 3.834e-20;
-<a class="jxr_linenumber" name="L604" href="#L604">604</a>         <strong class="jxr_keyword">double</strong> rgiant = 1.304e+19;
-<a class="jxr_linenumber" name="L605" href="#L605">605</a>         <strong class="jxr_keyword">double</strong> s1 = 0;
-<a class="jxr_linenumber" name="L606" href="#L606">606</a>         <strong class="jxr_keyword">double</strong> s2 = 0;
-<a class="jxr_linenumber" name="L607" href="#L607">607</a>         <strong class="jxr_keyword">double</strong> s3 = 0;
-<a class="jxr_linenumber" name="L608" href="#L608">608</a>         <strong class="jxr_keyword">double</strong> x1max = 0;
-<a class="jxr_linenumber" name="L609" href="#L609">609</a>         <strong class="jxr_keyword">double</strong> x3max = 0;
-<a class="jxr_linenumber" name="L610" href="#L610">610</a>         <strong class="jxr_keyword">double</strong> floatn = v.length;
-<a class="jxr_linenumber" name="L611" href="#L611">611</a>         <strong class="jxr_keyword">double</strong> agiant = rgiant / floatn;
-<a class="jxr_linenumber" name="L612" href="#L612">612</a>         <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i &lt; v.length; i++) {
-<a class="jxr_linenumber" name="L613" href="#L613">613</a>             <strong class="jxr_keyword">double</strong> xabs = FastMath.abs(v[i]);
-<a class="jxr_linenumber" name="L614" href="#L614">614</a>             <strong class="jxr_keyword">if</strong> (xabs &lt; rdwarf || xabs &gt; agiant) {
-<a class="jxr_linenumber" name="L615" href="#L615">615</a>                 <strong class="jxr_keyword">if</strong> (xabs &gt; rdwarf) {
-<a class="jxr_linenumber" name="L616" href="#L616">616</a>                     <strong class="jxr_keyword">if</strong> (xabs &gt; x1max) {
-<a class="jxr_linenumber" name="L617" href="#L617">617</a>                         <strong class="jxr_keyword">double</strong> r = x1max / xabs;
-<a class="jxr_linenumber" name="L618" href="#L618">618</a>                         s1= 1 + s1 * r * r;
-<a class="jxr_linenumber" name="L619" href="#L619">619</a>                         x1max = xabs;
-<a class="jxr_linenumber" name="L620" href="#L620">620</a>                     } <strong class="jxr_keyword">else</strong> {
-<a class="jxr_linenumber" name="L621" href="#L621">621</a>                         <strong class="jxr_keyword">double</strong> r = xabs / x1max;
-<a class="jxr_linenumber" name="L622" href="#L622">622</a>                         s1 += r * r;
-<a class="jxr_linenumber" name="L623" href="#L623">623</a>                     }
-<a class="jxr_linenumber" name="L624" href="#L624">624</a>                 } <strong class="jxr_keyword">else</strong> {
-<a class="jxr_linenumber" name="L625" href="#L625">625</a>                     <strong class="jxr_keyword">if</strong> (xabs &gt; x3max) {
-<a class="jxr_linenumber" name="L626" href="#L626">626</a>                         <strong class="jxr_keyword">double</strong> r = x3max / xabs;
-<a class="jxr_linenumber" name="L627" href="#L627">627</a>                         s3= 1 + s3 * r * r;
-<a class="jxr_linenumber" name="L628" href="#L628">628</a>                         x3max = xabs;
-<a class="jxr_linenumber" name="L629" href="#L629">629</a>                     } <strong class="jxr_keyword">else</strong> {
-<a class="jxr_linenumber" name="L630" href="#L630">630</a>                         <strong class="jxr_keyword">if</strong> (xabs != 0) {
-<a class="jxr_linenumber" name="L631" href="#L631">631</a>                             <strong class="jxr_keyword">double</strong> r = xabs / x3max;
-<a class="jxr_linenumber" name="L632" href="#L632">632</a>                             s3 += r * r;
-<a class="jxr_linenumber" name="L633" href="#L633">633</a>                         }
-<a class="jxr_linenumber" name="L634" href="#L634">634</a>                     }
-<a class="jxr_linenumber" name="L635" href="#L635">635</a>                 }
-<a class="jxr_linenumber" name="L636" href="#L636">636</a>             } <strong class="jxr_keyword">else</strong> {
-<a class="jxr_linenumber" name="L637" href="#L637">637</a>                 s2 += xabs * xabs;
-<a class="jxr_linenumber" name="L638" href="#L638">638</a>             }
-<a class="jxr_linenumber" name="L639" href="#L639">639</a>         }
-<a class="jxr_linenumber" name="L640" href="#L640">640</a>         <strong class="jxr_keyword">double</strong> norm;
-<a class="jxr_linenumber" name="L641" href="#L641">641</a>         <strong class="jxr_keyword">if</strong> (s1 != 0) {
-<a class="jxr_linenumber" name="L642" href="#L642">642</a>             norm = x1max * Math.sqrt(s1 + (s2 / x1max) / x1max);
-<a class="jxr_linenumber" name="L643" href="#L643">643</a>         } <strong class="jxr_keyword">else</strong> {
-<a class="jxr_linenumber" name="L644" href="#L644">644</a>             <strong class="jxr_keyword">if</strong> (s2 == 0) {
-<a class="jxr_linenumber" name="L645" href="#L645">645</a>                 norm = x3max * Math.sqrt(s3);
-<a class="jxr_linenumber" name="L646" href="#L646">646</a>             } <strong class="jxr_keyword">else</strong> {
-<a class="jxr_linenumber" name="L647" href="#L647">647</a>                 <strong class="jxr_keyword">if</strong> (s2 &gt;= x3max) {
-<a class="jxr_linenumber" name="L648" href="#L648">648</a>                     norm = Math.sqrt(s2 * (1 + (x3max / s2) * (x3max * s3)));
-<a class="jxr_linenumber" name="L649" href="#L649">649</a>                 } <strong class="jxr_keyword">else</strong> {
-<a class="jxr_linenumber" name="L650" href="#L650">650</a>                     norm = Math.sqrt(x3max * ((s2 / x3max) + (x3max * s3)));
-<a class="jxr_linenumber" name="L651" href="#L651">651</a>                 }
-<a class="jxr_linenumber" name="L652" href="#L652">652</a>             }
-<a class="jxr_linenumber" name="L653" href="#L653">653</a>         }
-<a class="jxr_linenumber" name="L654" href="#L654">654</a>         <strong class="jxr_keyword">return</strong> norm;
-<a class="jxr_linenumber" name="L655" href="#L655">655</a>     }
-<a class="jxr_linenumber" name="L656" href="#L656">656</a> 
-<a class="jxr_linenumber" name="L657" href="#L657">657</a>     <em class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L658" href="#L658">658</a> <em class="jxr_javadoccomment">     * Sort an array in ascending order in place and perform the same reordering</em>
-<a class="jxr_linenumber" name="L659" href="#L659">659</a> <em class="jxr_javadoccomment">     * of entries on other arrays. For example, if</em>

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