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From l..@apache.org
Subject svn commit: r857558 [25/39] - in /websites/production/commons/content/proper/commons-math/testapidocs/src-html/org/apache/commons/math3: ./ analysis/ analysis/differentiation/ analysis/interpolation/ complex/ dfp/ distribution/ distribution/fitting/ ex...
Date Sat, 06 Apr 2013 23:42:02 GMT
Modified: websites/production/commons/content/proper/commons-math/testapidocs/src-html/org/apache/commons/math3/optim/nonlinear/vector/jacobian/AbstractLeastSquaresOptimizerAbstractTest.html
==============================================================================
--- websites/production/commons/content/proper/commons-math/testapidocs/src-html/org/apache/commons/math3/optim/nonlinear/vector/jacobian/AbstractLeastSquaresOptimizerAbstractTest.html (original)
+++ websites/production/commons/content/proper/commons-math/testapidocs/src-html/org/apache/commons/math3/optim/nonlinear/vector/jacobian/AbstractLeastSquaresOptimizerAbstractTest.html Sat Apr  6 23:42:01 2013
@@ -109,515 +109,539 @@
 <FONT color="green">106</FONT>        public abstract AbstractLeastSquaresOptimizer createOptimizer();<a name="line.106"></a>
 <FONT color="green">107</FONT>    <a name="line.107"></a>
 <FONT color="green">108</FONT>        @Test<a name="line.108"></a>
-<FONT color="green">109</FONT>        public void testTrivial() {<a name="line.109"></a>
-<FONT color="green">110</FONT>            LinearProblem problem<a name="line.110"></a>
-<FONT color="green">111</FONT>                = new LinearProblem(new double[][] { { 2 } }, new double[] { 3 });<a name="line.111"></a>
-<FONT color="green">112</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.112"></a>
-<FONT color="green">113</FONT>            PointVectorValuePair optimum =<a name="line.113"></a>
-<FONT color="green">114</FONT>                optimizer.optimize(new MaxEval(100),<a name="line.114"></a>
-<FONT color="green">115</FONT>                                   problem.getModelFunction(),<a name="line.115"></a>
-<FONT color="green">116</FONT>                                   problem.getModelFunctionJacobian(),<a name="line.116"></a>
-<FONT color="green">117</FONT>                                   problem.getTarget(),<a name="line.117"></a>
-<FONT color="green">118</FONT>                                   new Weight(new double[] { 1 }),<a name="line.118"></a>
-<FONT color="green">119</FONT>                                   new InitialGuess(new double[] { 0 }));<a name="line.119"></a>
-<FONT color="green">120</FONT>            Assert.assertEquals(0, optimizer.getRMS(), 1e-10);<a name="line.120"></a>
-<FONT color="green">121</FONT>            Assert.assertEquals(1.5, optimum.getPoint()[0], 1e-10);<a name="line.121"></a>
-<FONT color="green">122</FONT>            Assert.assertEquals(3.0, optimum.getValue()[0], 1e-10);<a name="line.122"></a>
-<FONT color="green">123</FONT>        }<a name="line.123"></a>
-<FONT color="green">124</FONT>    <a name="line.124"></a>
-<FONT color="green">125</FONT>        @Test<a name="line.125"></a>
-<FONT color="green">126</FONT>        public void testQRColumnsPermutation() {<a name="line.126"></a>
-<FONT color="green">127</FONT>    <a name="line.127"></a>
-<FONT color="green">128</FONT>            LinearProblem problem<a name="line.128"></a>
-<FONT color="green">129</FONT>                = new LinearProblem(new double[][] { { 1, -1 }, { 0, 2 }, { 1, -2 } },<a name="line.129"></a>
-<FONT color="green">130</FONT>                                    new double[] { 4, 6, 1 });<a name="line.130"></a>
+<FONT color="green">109</FONT>        public void testGetIterations() {<a name="line.109"></a>
+<FONT color="green">110</FONT>            AbstractLeastSquaresOptimizer optim = createOptimizer();<a name="line.110"></a>
+<FONT color="green">111</FONT>            optim.optimize(new MaxEval(100), new Target(new double[] { 1 }),<a name="line.111"></a>
+<FONT color="green">112</FONT>                           new Weight(new double[] { 1 }),<a name="line.112"></a>
+<FONT color="green">113</FONT>                           new InitialGuess(new double[] { 3 }),<a name="line.113"></a>
+<FONT color="green">114</FONT>                           new ModelFunction(new MultivariateVectorFunction() {<a name="line.114"></a>
+<FONT color="green">115</FONT>                                   public double[] value(double[] point) {<a name="line.115"></a>
+<FONT color="green">116</FONT>                                       return new double[] {<a name="line.116"></a>
+<FONT color="green">117</FONT>                                           FastMath.pow(point[0], 4)<a name="line.117"></a>
+<FONT color="green">118</FONT>                                       };<a name="line.118"></a>
+<FONT color="green">119</FONT>                                   }<a name="line.119"></a>
+<FONT color="green">120</FONT>                               }),<a name="line.120"></a>
+<FONT color="green">121</FONT>                           new ModelFunctionJacobian(new MultivariateMatrixFunction() {<a name="line.121"></a>
+<FONT color="green">122</FONT>                                   public double[][] value(double[] point) {<a name="line.122"></a>
+<FONT color="green">123</FONT>                                       return new double[][] {<a name="line.123"></a>
+<FONT color="green">124</FONT>                                           { 0.25 * FastMath.pow(point[0], 3) }<a name="line.124"></a>
+<FONT color="green">125</FONT>                                       };<a name="line.125"></a>
+<FONT color="green">126</FONT>                                   }<a name="line.126"></a>
+<FONT color="green">127</FONT>                               }));<a name="line.127"></a>
+<FONT color="green">128</FONT>    <a name="line.128"></a>
+<FONT color="green">129</FONT>            Assert.assertTrue(optim.getIterations() &gt; 0);<a name="line.129"></a>
+<FONT color="green">130</FONT>        }<a name="line.130"></a>
 <FONT color="green">131</FONT>    <a name="line.131"></a>
-<FONT color="green">132</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.132"></a>
-<FONT color="green">133</FONT>            PointVectorValuePair optimum =<a name="line.133"></a>
-<FONT color="green">134</FONT>                optimizer.optimize(new MaxEval(100),<a name="line.134"></a>
-<FONT color="green">135</FONT>                                   problem.getModelFunction(),<a name="line.135"></a>
-<FONT color="green">136</FONT>                                   problem.getModelFunctionJacobian(),<a name="line.136"></a>
-<FONT color="green">137</FONT>                                   problem.getTarget(),<a name="line.137"></a>
-<FONT color="green">138</FONT>                                   new Weight(new double[] { 1, 1, 1 }),<a name="line.138"></a>
-<FONT color="green">139</FONT>                                   new InitialGuess(new double[] { 0, 0 }));<a name="line.139"></a>
-<FONT color="green">140</FONT>            Assert.assertEquals(0, optimizer.getRMS(), 1e-10);<a name="line.140"></a>
-<FONT color="green">141</FONT>            Assert.assertEquals(7, optimum.getPoint()[0], 1e-10);<a name="line.141"></a>
-<FONT color="green">142</FONT>            Assert.assertEquals(3, optimum.getPoint()[1], 1e-10);<a name="line.142"></a>
-<FONT color="green">143</FONT>            Assert.assertEquals(4, optimum.getValue()[0], 1e-10);<a name="line.143"></a>
-<FONT color="green">144</FONT>            Assert.assertEquals(6, optimum.getValue()[1], 1e-10);<a name="line.144"></a>
-<FONT color="green">145</FONT>            Assert.assertEquals(1, optimum.getValue()[2], 1e-10);<a name="line.145"></a>
-<FONT color="green">146</FONT>        }<a name="line.146"></a>
-<FONT color="green">147</FONT>    <a name="line.147"></a>
-<FONT color="green">148</FONT>        @Test<a name="line.148"></a>
-<FONT color="green">149</FONT>        public void testNoDependency() {<a name="line.149"></a>
-<FONT color="green">150</FONT>            LinearProblem problem = new LinearProblem(new double[][] {<a name="line.150"></a>
-<FONT color="green">151</FONT>                    { 2, 0, 0, 0, 0, 0 },<a name="line.151"></a>
-<FONT color="green">152</FONT>                    { 0, 2, 0, 0, 0, 0 },<a name="line.152"></a>
-<FONT color="green">153</FONT>                    { 0, 0, 2, 0, 0, 0 },<a name="line.153"></a>
-<FONT color="green">154</FONT>                    { 0, 0, 0, 2, 0, 0 },<a name="line.154"></a>
-<FONT color="green">155</FONT>                    { 0, 0, 0, 0, 2, 0 },<a name="line.155"></a>
-<FONT color="green">156</FONT>                    { 0, 0, 0, 0, 0, 2 }<a name="line.156"></a>
-<FONT color="green">157</FONT>            }, new double[] { 0, 1.1, 2.2, 3.3, 4.4, 5.5 });<a name="line.157"></a>
-<FONT color="green">158</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.158"></a>
-<FONT color="green">159</FONT>            PointVectorValuePair optimum =<a name="line.159"></a>
-<FONT color="green">160</FONT>                optimizer.optimize(new MaxEval(100),<a name="line.160"></a>
-<FONT color="green">161</FONT>                                   problem.getModelFunction(),<a name="line.161"></a>
-<FONT color="green">162</FONT>                                   problem.getModelFunctionJacobian(),<a name="line.162"></a>
-<FONT color="green">163</FONT>                                   problem.getTarget(),<a name="line.163"></a>
-<FONT color="green">164</FONT>                                   new Weight(new double[] { 1, 1, 1, 1, 1, 1 }),<a name="line.164"></a>
-<FONT color="green">165</FONT>                                   new InitialGuess(new double[] { 0, 0, 0, 0, 0, 0 }));<a name="line.165"></a>
-<FONT color="green">166</FONT>            Assert.assertEquals(0, optimizer.getRMS(), 1e-10);<a name="line.166"></a>
-<FONT color="green">167</FONT>            for (int i = 0; i &lt; problem.target.length; ++i) {<a name="line.167"></a>
-<FONT color="green">168</FONT>                Assert.assertEquals(0.55 * i, optimum.getPoint()[i], 1e-10);<a name="line.168"></a>
-<FONT color="green">169</FONT>            }<a name="line.169"></a>
+<FONT color="green">132</FONT>        @Test<a name="line.132"></a>
+<FONT color="green">133</FONT>        public void testTrivial() {<a name="line.133"></a>
+<FONT color="green">134</FONT>            LinearProblem problem<a name="line.134"></a>
+<FONT color="green">135</FONT>                = new LinearProblem(new double[][] { { 2 } }, new double[] { 3 });<a name="line.135"></a>
+<FONT color="green">136</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.136"></a>
+<FONT color="green">137</FONT>            PointVectorValuePair optimum =<a name="line.137"></a>
+<FONT color="green">138</FONT>                optimizer.optimize(new MaxEval(100),<a name="line.138"></a>
+<FONT color="green">139</FONT>                                   problem.getModelFunction(),<a name="line.139"></a>
+<FONT color="green">140</FONT>                                   problem.getModelFunctionJacobian(),<a name="line.140"></a>
+<FONT color="green">141</FONT>                                   problem.getTarget(),<a name="line.141"></a>
+<FONT color="green">142</FONT>                                   new Weight(new double[] { 1 }),<a name="line.142"></a>
+<FONT color="green">143</FONT>                                   new InitialGuess(new double[] { 0 }));<a name="line.143"></a>
+<FONT color="green">144</FONT>            Assert.assertEquals(0, optimizer.getRMS(), 1e-10);<a name="line.144"></a>
+<FONT color="green">145</FONT>            Assert.assertEquals(1.5, optimum.getPoint()[0], 1e-10);<a name="line.145"></a>
+<FONT color="green">146</FONT>            Assert.assertEquals(3.0, optimum.getValue()[0], 1e-10);<a name="line.146"></a>
+<FONT color="green">147</FONT>        }<a name="line.147"></a>
+<FONT color="green">148</FONT>    <a name="line.148"></a>
+<FONT color="green">149</FONT>        @Test<a name="line.149"></a>
+<FONT color="green">150</FONT>        public void testQRColumnsPermutation() {<a name="line.150"></a>
+<FONT color="green">151</FONT>    <a name="line.151"></a>
+<FONT color="green">152</FONT>            LinearProblem problem<a name="line.152"></a>
+<FONT color="green">153</FONT>                = new LinearProblem(new double[][] { { 1, -1 }, { 0, 2 }, { 1, -2 } },<a name="line.153"></a>
+<FONT color="green">154</FONT>                                    new double[] { 4, 6, 1 });<a name="line.154"></a>
+<FONT color="green">155</FONT>    <a name="line.155"></a>
+<FONT color="green">156</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.156"></a>
+<FONT color="green">157</FONT>            PointVectorValuePair optimum =<a name="line.157"></a>
+<FONT color="green">158</FONT>                optimizer.optimize(new MaxEval(100),<a name="line.158"></a>
+<FONT color="green">159</FONT>                                   problem.getModelFunction(),<a name="line.159"></a>
+<FONT color="green">160</FONT>                                   problem.getModelFunctionJacobian(),<a name="line.160"></a>
+<FONT color="green">161</FONT>                                   problem.getTarget(),<a name="line.161"></a>
+<FONT color="green">162</FONT>                                   new Weight(new double[] { 1, 1, 1 }),<a name="line.162"></a>
+<FONT color="green">163</FONT>                                   new InitialGuess(new double[] { 0, 0 }));<a name="line.163"></a>
+<FONT color="green">164</FONT>            Assert.assertEquals(0, optimizer.getRMS(), 1e-10);<a name="line.164"></a>
+<FONT color="green">165</FONT>            Assert.assertEquals(7, optimum.getPoint()[0], 1e-10);<a name="line.165"></a>
+<FONT color="green">166</FONT>            Assert.assertEquals(3, optimum.getPoint()[1], 1e-10);<a name="line.166"></a>
+<FONT color="green">167</FONT>            Assert.assertEquals(4, optimum.getValue()[0], 1e-10);<a name="line.167"></a>
+<FONT color="green">168</FONT>            Assert.assertEquals(6, optimum.getValue()[1], 1e-10);<a name="line.168"></a>
+<FONT color="green">169</FONT>            Assert.assertEquals(1, optimum.getValue()[2], 1e-10);<a name="line.169"></a>
 <FONT color="green">170</FONT>        }<a name="line.170"></a>
 <FONT color="green">171</FONT>    <a name="line.171"></a>
 <FONT color="green">172</FONT>        @Test<a name="line.172"></a>
-<FONT color="green">173</FONT>        public void testOneSet() {<a name="line.173"></a>
-<FONT color="green">174</FONT>    <a name="line.174"></a>
-<FONT color="green">175</FONT>            LinearProblem problem = new LinearProblem(new double[][] {<a name="line.175"></a>
-<FONT color="green">176</FONT>                    {  1,  0, 0 },<a name="line.176"></a>
-<FONT color="green">177</FONT>                    { -1,  1, 0 },<a name="line.177"></a>
-<FONT color="green">178</FONT>                    {  0, -1, 1 }<a name="line.178"></a>
-<FONT color="green">179</FONT>            }, new double[] { 1, 1, 1});<a name="line.179"></a>
-<FONT color="green">180</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.180"></a>
-<FONT color="green">181</FONT>            PointVectorValuePair optimum =<a name="line.181"></a>
-<FONT color="green">182</FONT>                optimizer.optimize(new MaxEval(100),<a name="line.182"></a>
-<FONT color="green">183</FONT>                                   problem.getModelFunction(),<a name="line.183"></a>
-<FONT color="green">184</FONT>                                   problem.getModelFunctionJacobian(),<a name="line.184"></a>
-<FONT color="green">185</FONT>                                   problem.getTarget(),<a name="line.185"></a>
-<FONT color="green">186</FONT>                                   new Weight(new double[] { 1, 1, 1 }),<a name="line.186"></a>
-<FONT color="green">187</FONT>                                   new InitialGuess(new double[] { 0, 0, 0 }));<a name="line.187"></a>
-<FONT color="green">188</FONT>            Assert.assertEquals(0, optimizer.getRMS(), 1e-10);<a name="line.188"></a>
-<FONT color="green">189</FONT>            Assert.assertEquals(1, optimum.getPoint()[0], 1e-10);<a name="line.189"></a>
-<FONT color="green">190</FONT>            Assert.assertEquals(2, optimum.getPoint()[1], 1e-10);<a name="line.190"></a>
-<FONT color="green">191</FONT>            Assert.assertEquals(3, optimum.getPoint()[2], 1e-10);<a name="line.191"></a>
-<FONT color="green">192</FONT>        }<a name="line.192"></a>
-<FONT color="green">193</FONT>    <a name="line.193"></a>
-<FONT color="green">194</FONT>        @Test<a name="line.194"></a>
-<FONT color="green">195</FONT>        public void testTwoSets() {<a name="line.195"></a>
-<FONT color="green">196</FONT>            double epsilon = 1e-7;<a name="line.196"></a>
-<FONT color="green">197</FONT>            LinearProblem problem = new LinearProblem(new double[][] {<a name="line.197"></a>
-<FONT color="green">198</FONT>                    {  2,  1,   0,  4,       0, 0 },<a name="line.198"></a>
-<FONT color="green">199</FONT>                    { -4, -2,   3, -7,       0, 0 },<a name="line.199"></a>
-<FONT color="green">200</FONT>                    {  4,  1,  -2,  8,       0, 0 },<a name="line.200"></a>
-<FONT color="green">201</FONT>                    {  0, -3, -12, -1,       0, 0 },<a name="line.201"></a>
-<FONT color="green">202</FONT>                    {  0,  0,   0,  0, epsilon, 1 },<a name="line.202"></a>
-<FONT color="green">203</FONT>                    {  0,  0,   0,  0,       1, 1 }<a name="line.203"></a>
-<FONT color="green">204</FONT>            }, new double[] { 2, -9, 2, 2, 1 + epsilon * epsilon, 2});<a name="line.204"></a>
-<FONT color="green">205</FONT>    <a name="line.205"></a>
-<FONT color="green">206</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.206"></a>
-<FONT color="green">207</FONT>            PointVectorValuePair optimum =<a name="line.207"></a>
-<FONT color="green">208</FONT>                optimizer.optimize(new MaxEval(100),<a name="line.208"></a>
-<FONT color="green">209</FONT>                                   problem.getModelFunction(),<a name="line.209"></a>
-<FONT color="green">210</FONT>                                   problem.getModelFunctionJacobian(),<a name="line.210"></a>
-<FONT color="green">211</FONT>                                   problem.getTarget(),<a name="line.211"></a>
-<FONT color="green">212</FONT>                                   new Weight(new double[] { 1, 1, 1, 1, 1, 1 }),<a name="line.212"></a>
-<FONT color="green">213</FONT>                                   new InitialGuess(new double[] { 0, 0, 0, 0, 0, 0 }));<a name="line.213"></a>
-<FONT color="green">214</FONT>            Assert.assertEquals(0, optimizer.getRMS(), 1e-10);<a name="line.214"></a>
-<FONT color="green">215</FONT>            Assert.assertEquals(3, optimum.getPoint()[0], 1e-10);<a name="line.215"></a>
-<FONT color="green">216</FONT>            Assert.assertEquals(4, optimum.getPoint()[1], 1e-10);<a name="line.216"></a>
-<FONT color="green">217</FONT>            Assert.assertEquals(-1, optimum.getPoint()[2], 1e-10);<a name="line.217"></a>
-<FONT color="green">218</FONT>            Assert.assertEquals(-2, optimum.getPoint()[3], 1e-10);<a name="line.218"></a>
-<FONT color="green">219</FONT>            Assert.assertEquals(1 + epsilon, optimum.getPoint()[4], 1e-10);<a name="line.219"></a>
-<FONT color="green">220</FONT>            Assert.assertEquals(1 - epsilon, optimum.getPoint()[5], 1e-10);<a name="line.220"></a>
-<FONT color="green">221</FONT>        }<a name="line.221"></a>
-<FONT color="green">222</FONT>    <a name="line.222"></a>
-<FONT color="green">223</FONT>        @Test(expected=ConvergenceException.class)<a name="line.223"></a>
-<FONT color="green">224</FONT>        public void testNonInvertible() throws Exception {<a name="line.224"></a>
-<FONT color="green">225</FONT>    <a name="line.225"></a>
-<FONT color="green">226</FONT>            LinearProblem problem = new LinearProblem(new double[][] {<a name="line.226"></a>
-<FONT color="green">227</FONT>                    {  1, 2, -3 },<a name="line.227"></a>
-<FONT color="green">228</FONT>                    {  2, 1,  3 },<a name="line.228"></a>
-<FONT color="green">229</FONT>                    { -3, 0, -9 }<a name="line.229"></a>
-<FONT color="green">230</FONT>            }, new double[] { 1, 1, 1 });<a name="line.230"></a>
-<FONT color="green">231</FONT>    <a name="line.231"></a>
-<FONT color="green">232</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.232"></a>
-<FONT color="green">233</FONT>    <a name="line.233"></a>
-<FONT color="green">234</FONT>            optimizer.optimize(new MaxEval(100),<a name="line.234"></a>
-<FONT color="green">235</FONT>                               problem.getModelFunction(),<a name="line.235"></a>
-<FONT color="green">236</FONT>                               problem.getModelFunctionJacobian(),<a name="line.236"></a>
-<FONT color="green">237</FONT>                               problem.getTarget(),<a name="line.237"></a>
-<FONT color="green">238</FONT>                               new Weight(new double[] { 1, 1, 1 }),<a name="line.238"></a>
-<FONT color="green">239</FONT>                               new InitialGuess(new double[] { 0, 0, 0 }));<a name="line.239"></a>
-<FONT color="green">240</FONT>        }<a name="line.240"></a>
-<FONT color="green">241</FONT>    <a name="line.241"></a>
-<FONT color="green">242</FONT>        @Test<a name="line.242"></a>
-<FONT color="green">243</FONT>        public void testIllConditioned() {<a name="line.243"></a>
-<FONT color="green">244</FONT>            LinearProblem problem1 = new LinearProblem(new double[][] {<a name="line.244"></a>
-<FONT color="green">245</FONT>                    { 10, 7,  8,  7 },<a name="line.245"></a>
-<FONT color="green">246</FONT>                    {  7, 5,  6,  5 },<a name="line.246"></a>
-<FONT color="green">247</FONT>                    {  8, 6, 10,  9 },<a name="line.247"></a>
-<FONT color="green">248</FONT>                    {  7, 5,  9, 10 }<a name="line.248"></a>
-<FONT color="green">249</FONT>            }, new double[] { 32, 23, 33, 31 });<a name="line.249"></a>
-<FONT color="green">250</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.250"></a>
-<FONT color="green">251</FONT>            PointVectorValuePair optimum1 =<a name="line.251"></a>
-<FONT color="green">252</FONT>                optimizer.optimize(new MaxEval(100),<a name="line.252"></a>
-<FONT color="green">253</FONT>                                   problem1.getModelFunction(),<a name="line.253"></a>
-<FONT color="green">254</FONT>                                   problem1.getModelFunctionJacobian(),<a name="line.254"></a>
-<FONT color="green">255</FONT>                                   problem1.getTarget(),<a name="line.255"></a>
-<FONT color="green">256</FONT>                                   new Weight(new double[] { 1, 1, 1, 1 }),<a name="line.256"></a>
-<FONT color="green">257</FONT>                                   new InitialGuess(new double[] { 0, 1, 2, 3 }));<a name="line.257"></a>
-<FONT color="green">258</FONT>            Assert.assertEquals(0, optimizer.getRMS(), 1e-10);<a name="line.258"></a>
-<FONT color="green">259</FONT>            Assert.assertEquals(1, optimum1.getPoint()[0], 1e-10);<a name="line.259"></a>
-<FONT color="green">260</FONT>            Assert.assertEquals(1, optimum1.getPoint()[1], 1e-10);<a name="line.260"></a>
-<FONT color="green">261</FONT>            Assert.assertEquals(1, optimum1.getPoint()[2], 1e-10);<a name="line.261"></a>
-<FONT color="green">262</FONT>            Assert.assertEquals(1, optimum1.getPoint()[3], 1e-10);<a name="line.262"></a>
-<FONT color="green">263</FONT>    <a name="line.263"></a>
-<FONT color="green">264</FONT>            LinearProblem problem2 = new LinearProblem(new double[][] {<a name="line.264"></a>
-<FONT color="green">265</FONT>                    { 10.00, 7.00, 8.10, 7.20 },<a name="line.265"></a>
-<FONT color="green">266</FONT>                    {  7.08, 5.04, 6.00, 5.00 },<a name="line.266"></a>
-<FONT color="green">267</FONT>                    {  8.00, 5.98, 9.89, 9.00 },<a name="line.267"></a>
-<FONT color="green">268</FONT>                    {  6.99, 4.99, 9.00, 9.98 }<a name="line.268"></a>
-<FONT color="green">269</FONT>            }, new double[] { 32, 23, 33, 31 });<a name="line.269"></a>
-<FONT color="green">270</FONT>            PointVectorValuePair optimum2 =<a name="line.270"></a>
-<FONT color="green">271</FONT>                optimizer.optimize(new MaxEval(100),<a name="line.271"></a>
-<FONT color="green">272</FONT>                                   problem2.getModelFunction(),<a name="line.272"></a>
-<FONT color="green">273</FONT>                                   problem2.getModelFunctionJacobian(),<a name="line.273"></a>
-<FONT color="green">274</FONT>                                   problem2.getTarget(), <a name="line.274"></a>
-<FONT color="green">275</FONT>                                   new Weight(new double[] { 1, 1, 1, 1 }),<a name="line.275"></a>
-<FONT color="green">276</FONT>                                   new InitialGuess(new double[] { 0, 1, 2, 3 }));<a name="line.276"></a>
-<FONT color="green">277</FONT>            Assert.assertEquals(0, optimizer.getRMS(), 1e-10);<a name="line.277"></a>
-<FONT color="green">278</FONT>            Assert.assertEquals(-81, optimum2.getPoint()[0], 1e-8);<a name="line.278"></a>
-<FONT color="green">279</FONT>            Assert.assertEquals(137, optimum2.getPoint()[1], 1e-8);<a name="line.279"></a>
-<FONT color="green">280</FONT>            Assert.assertEquals(-34, optimum2.getPoint()[2], 1e-8);<a name="line.280"></a>
-<FONT color="green">281</FONT>            Assert.assertEquals( 22, optimum2.getPoint()[3], 1e-8);<a name="line.281"></a>
-<FONT color="green">282</FONT>        }<a name="line.282"></a>
-<FONT color="green">283</FONT>    <a name="line.283"></a>
-<FONT color="green">284</FONT>        @Test<a name="line.284"></a>
-<FONT color="green">285</FONT>        public void testMoreEstimatedParametersSimple() {<a name="line.285"></a>
-<FONT color="green">286</FONT>    <a name="line.286"></a>
-<FONT color="green">287</FONT>            LinearProblem problem = new LinearProblem(new double[][] {<a name="line.287"></a>
-<FONT color="green">288</FONT>                    { 3, 2,  0, 0 },<a name="line.288"></a>
-<FONT color="green">289</FONT>                    { 0, 1, -1, 1 },<a name="line.289"></a>
-<FONT color="green">290</FONT>                    { 2, 0,  1, 0 }<a name="line.290"></a>
-<FONT color="green">291</FONT>            }, new double[] { 7, 3, 5 });<a name="line.291"></a>
-<FONT color="green">292</FONT>    <a name="line.292"></a>
-<FONT color="green">293</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.293"></a>
-<FONT color="green">294</FONT>            optimizer.optimize(new MaxEval(100),<a name="line.294"></a>
-<FONT color="green">295</FONT>                               problem.getModelFunction(),<a name="line.295"></a>
-<FONT color="green">296</FONT>                               problem.getModelFunctionJacobian(),<a name="line.296"></a>
-<FONT color="green">297</FONT>                               problem.getTarget(),<a name="line.297"></a>
-<FONT color="green">298</FONT>                               new Weight(new double[] { 1, 1, 1 }),<a name="line.298"></a>
-<FONT color="green">299</FONT>                               new InitialGuess(new double[] { 7, 6, 5, 4 }));<a name="line.299"></a>
-<FONT color="green">300</FONT>            Assert.assertEquals(0, optimizer.getRMS(), 1e-10);<a name="line.300"></a>
-<FONT color="green">301</FONT>        }<a name="line.301"></a>
-<FONT color="green">302</FONT>    <a name="line.302"></a>
-<FONT color="green">303</FONT>        @Test<a name="line.303"></a>
-<FONT color="green">304</FONT>        public void testMoreEstimatedParametersUnsorted() {<a name="line.304"></a>
-<FONT color="green">305</FONT>            LinearProblem problem = new LinearProblem(new double[][] {<a name="line.305"></a>
-<FONT color="green">306</FONT>                    { 1, 1,  0,  0, 0,  0 },<a name="line.306"></a>
-<FONT color="green">307</FONT>                    { 0, 0,  1,  1, 1,  0 },<a name="line.307"></a>
-<FONT color="green">308</FONT>                    { 0, 0,  0,  0, 1, -1 },<a name="line.308"></a>
-<FONT color="green">309</FONT>                    { 0, 0, -1,  1, 0,  1 },<a name="line.309"></a>
-<FONT color="green">310</FONT>                    { 0, 0,  0, -1, 1,  0 }<a name="line.310"></a>
-<FONT color="green">311</FONT>           }, new double[] { 3, 12, -1, 7, 1 });<a name="line.311"></a>
-<FONT color="green">312</FONT>    <a name="line.312"></a>
-<FONT color="green">313</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.313"></a>
-<FONT color="green">314</FONT>            PointVectorValuePair optimum =<a name="line.314"></a>
-<FONT color="green">315</FONT>                optimizer.optimize(new MaxEval(100),<a name="line.315"></a>
-<FONT color="green">316</FONT>                                   problem.getModelFunction(),<a name="line.316"></a>
-<FONT color="green">317</FONT>                                   problem.getModelFunctionJacobian(),<a name="line.317"></a>
-<FONT color="green">318</FONT>                                   problem.getTarget(),<a name="line.318"></a>
-<FONT color="green">319</FONT>                                   new Weight(new double[] { 1, 1, 1, 1, 1 }),<a name="line.319"></a>
-<FONT color="green">320</FONT>                                   new InitialGuess(new double[] { 2, 2, 2, 2, 2, 2 }));<a name="line.320"></a>
-<FONT color="green">321</FONT>            Assert.assertEquals(0, optimizer.getRMS(), 1e-10);<a name="line.321"></a>
-<FONT color="green">322</FONT>            Assert.assertEquals(3, optimum.getPointRef()[2], 1e-10);<a name="line.322"></a>
-<FONT color="green">323</FONT>            Assert.assertEquals(4, optimum.getPointRef()[3], 1e-10);<a name="line.323"></a>
-<FONT color="green">324</FONT>            Assert.assertEquals(5, optimum.getPointRef()[4], 1e-10);<a name="line.324"></a>
-<FONT color="green">325</FONT>            Assert.assertEquals(6, optimum.getPointRef()[5], 1e-10);<a name="line.325"></a>
-<FONT color="green">326</FONT>        }<a name="line.326"></a>
-<FONT color="green">327</FONT>    <a name="line.327"></a>
-<FONT color="green">328</FONT>        @Test<a name="line.328"></a>
-<FONT color="green">329</FONT>        public void testRedundantEquations() {<a name="line.329"></a>
-<FONT color="green">330</FONT>            LinearProblem problem = new LinearProblem(new double[][] {<a name="line.330"></a>
-<FONT color="green">331</FONT>                    { 1,  1 },<a name="line.331"></a>
-<FONT color="green">332</FONT>                    { 1, -1 },<a name="line.332"></a>
-<FONT color="green">333</FONT>                    { 1,  3 }<a name="line.333"></a>
-<FONT color="green">334</FONT>            }, new double[] { 3, 1, 5 });<a name="line.334"></a>
-<FONT color="green">335</FONT>    <a name="line.335"></a>
-<FONT color="green">336</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.336"></a>
-<FONT color="green">337</FONT>            PointVectorValuePair optimum =<a name="line.337"></a>
-<FONT color="green">338</FONT>                optimizer.optimize(new MaxEval(100),<a name="line.338"></a>
-<FONT color="green">339</FONT>                                   problem.getModelFunction(),<a name="line.339"></a>
-<FONT color="green">340</FONT>                                   problem.getModelFunctionJacobian(),<a name="line.340"></a>
-<FONT color="green">341</FONT>                                   problem.getTarget(),<a name="line.341"></a>
-<FONT color="green">342</FONT>                                   new Weight(new double[] { 1, 1, 1 }),<a name="line.342"></a>
-<FONT color="green">343</FONT>                                   new InitialGuess(new double[] { 1, 1 }));<a name="line.343"></a>
-<FONT color="green">344</FONT>            Assert.assertEquals(0, optimizer.getRMS(), 1e-10);<a name="line.344"></a>
-<FONT color="green">345</FONT>            Assert.assertEquals(2, optimum.getPointRef()[0], 1e-10);<a name="line.345"></a>
-<FONT color="green">346</FONT>            Assert.assertEquals(1, optimum.getPointRef()[1], 1e-10);<a name="line.346"></a>
-<FONT color="green">347</FONT>        }<a name="line.347"></a>
-<FONT color="green">348</FONT>    <a name="line.348"></a>
-<FONT color="green">349</FONT>        @Test<a name="line.349"></a>
-<FONT color="green">350</FONT>        public void testInconsistentEquations() {<a name="line.350"></a>
-<FONT color="green">351</FONT>            LinearProblem problem = new LinearProblem(new double[][] {<a name="line.351"></a>
-<FONT color="green">352</FONT>                    { 1,  1 },<a name="line.352"></a>
-<FONT color="green">353</FONT>                    { 1, -1 },<a name="line.353"></a>
-<FONT color="green">354</FONT>                    { 1,  3 }<a name="line.354"></a>
-<FONT color="green">355</FONT>            }, new double[] { 3, 1, 4 });<a name="line.355"></a>
-<FONT color="green">356</FONT>    <a name="line.356"></a>
-<FONT color="green">357</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.357"></a>
-<FONT color="green">358</FONT>            optimizer.optimize(new MaxEval(100),<a name="line.358"></a>
-<FONT color="green">359</FONT>                               problem.getModelFunction(),<a name="line.359"></a>
-<FONT color="green">360</FONT>                               problem.getModelFunctionJacobian(),<a name="line.360"></a>
-<FONT color="green">361</FONT>                               problem.getTarget(),<a name="line.361"></a>
-<FONT color="green">362</FONT>                               new Weight(new double[] { 1, 1, 1 }),<a name="line.362"></a>
-<FONT color="green">363</FONT>                               new InitialGuess(new double[] { 1, 1 }));<a name="line.363"></a>
-<FONT color="green">364</FONT>            Assert.assertTrue(optimizer.getRMS() &gt; 0.1);<a name="line.364"></a>
-<FONT color="green">365</FONT>        }<a name="line.365"></a>
-<FONT color="green">366</FONT>    <a name="line.366"></a>
-<FONT color="green">367</FONT>        @Test(expected=DimensionMismatchException.class)<a name="line.367"></a>
-<FONT color="green">368</FONT>        public void testInconsistentSizes1() {<a name="line.368"></a>
-<FONT color="green">369</FONT>            LinearProblem problem<a name="line.369"></a>
-<FONT color="green">370</FONT>                = new LinearProblem(new double[][] { { 1, 0 }, { 0, 1 } },<a name="line.370"></a>
-<FONT color="green">371</FONT>                                    new double[] { -1, 1 });<a name="line.371"></a>
-<FONT color="green">372</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.372"></a>
-<FONT color="green">373</FONT>            PointVectorValuePair optimum =<a name="line.373"></a>
-<FONT color="green">374</FONT>                optimizer.optimize(new MaxEval(100),<a name="line.374"></a>
-<FONT color="green">375</FONT>                                   problem.getModelFunction(),<a name="line.375"></a>
-<FONT color="green">376</FONT>                                   problem.getModelFunctionJacobian(),<a name="line.376"></a>
-<FONT color="green">377</FONT>                                   problem.getTarget(),<a name="line.377"></a>
-<FONT color="green">378</FONT>                                   new Weight(new double[] { 1, 1 }),<a name="line.378"></a>
-<FONT color="green">379</FONT>                                   new InitialGuess(new double[] { 0, 0 }));<a name="line.379"></a>
-<FONT color="green">380</FONT>            Assert.assertEquals(0, optimizer.getRMS(), 1e-10);<a name="line.380"></a>
-<FONT color="green">381</FONT>            Assert.assertEquals(-1, optimum.getPoint()[0], 1e-10);<a name="line.381"></a>
-<FONT color="green">382</FONT>            Assert.assertEquals(1, optimum.getPoint()[1], 1e-10);<a name="line.382"></a>
-<FONT color="green">383</FONT>    <a name="line.383"></a>
-<FONT color="green">384</FONT>            optimizer.optimize(new MaxEval(100),<a name="line.384"></a>
-<FONT color="green">385</FONT>                               problem.getModelFunction(),<a name="line.385"></a>
-<FONT color="green">386</FONT>                               problem.getModelFunctionJacobian(),<a name="line.386"></a>
-<FONT color="green">387</FONT>                               problem.getTarget(),<a name="line.387"></a>
-<FONT color="green">388</FONT>                               new Weight(new double[] { 1 }),<a name="line.388"></a>
-<FONT color="green">389</FONT>                               new InitialGuess(new double[] { 0, 0 }));<a name="line.389"></a>
-<FONT color="green">390</FONT>        }<a name="line.390"></a>
-<FONT color="green">391</FONT>    <a name="line.391"></a>
-<FONT color="green">392</FONT>        @Test(expected=DimensionMismatchException.class)<a name="line.392"></a>
-<FONT color="green">393</FONT>        public void testInconsistentSizes2() {<a name="line.393"></a>
-<FONT color="green">394</FONT>            LinearProblem problem<a name="line.394"></a>
-<FONT color="green">395</FONT>                = new LinearProblem(new double[][] { { 1, 0 }, { 0, 1 } },<a name="line.395"></a>
-<FONT color="green">396</FONT>                                    new double[] { -1, 1 });<a name="line.396"></a>
-<FONT color="green">397</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.397"></a>
-<FONT color="green">398</FONT>            PointVectorValuePair optimum<a name="line.398"></a>
-<FONT color="green">399</FONT>                = optimizer.optimize(new MaxEval(100),<a name="line.399"></a>
-<FONT color="green">400</FONT>                                     problem.getModelFunction(),<a name="line.400"></a>
-<FONT color="green">401</FONT>                                     problem.getModelFunctionJacobian(),<a name="line.401"></a>
-<FONT color="green">402</FONT>                                     problem.getTarget(),<a name="line.402"></a>
-<FONT color="green">403</FONT>                                     new Weight(new double[] { 1, 1 }),<a name="line.403"></a>
-<FONT color="green">404</FONT>                                     new InitialGuess(new double[] { 0, 0 }));<a name="line.404"></a>
-<FONT color="green">405</FONT>            Assert.assertEquals(0, optimizer.getRMS(), 1e-10);<a name="line.405"></a>
-<FONT color="green">406</FONT>            Assert.assertEquals(-1, optimum.getPoint()[0], 1e-10);<a name="line.406"></a>
-<FONT color="green">407</FONT>            Assert.assertEquals(1, optimum.getPoint()[1], 1e-10);<a name="line.407"></a>
-<FONT color="green">408</FONT>    <a name="line.408"></a>
-<FONT color="green">409</FONT>            optimizer.optimize(new MaxEval(100),<a name="line.409"></a>
-<FONT color="green">410</FONT>                               problem.getModelFunction(),<a name="line.410"></a>
-<FONT color="green">411</FONT>                               problem.getModelFunctionJacobian(),<a name="line.411"></a>
-<FONT color="green">412</FONT>                               new Target(new double[] { 1 }),<a name="line.412"></a>
-<FONT color="green">413</FONT>                               new Weight(new double[] { 1 }),<a name="line.413"></a>
-<FONT color="green">414</FONT>                               new InitialGuess(new double[] { 0, 0 }));<a name="line.414"></a>
-<FONT color="green">415</FONT>        }<a name="line.415"></a>
-<FONT color="green">416</FONT>    <a name="line.416"></a>
-<FONT color="green">417</FONT>        @Test<a name="line.417"></a>
-<FONT color="green">418</FONT>        public void testCircleFitting() {<a name="line.418"></a>
-<FONT color="green">419</FONT>            CircleVectorial circle = new CircleVectorial();<a name="line.419"></a>
-<FONT color="green">420</FONT>            circle.addPoint( 30,  68);<a name="line.420"></a>
-<FONT color="green">421</FONT>            circle.addPoint( 50,  -6);<a name="line.421"></a>
-<FONT color="green">422</FONT>            circle.addPoint(110, -20);<a name="line.422"></a>
-<FONT color="green">423</FONT>            circle.addPoint( 35,  15);<a name="line.423"></a>
-<FONT color="green">424</FONT>            circle.addPoint( 45,  97);<a name="line.424"></a>
-<FONT color="green">425</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.425"></a>
-<FONT color="green">426</FONT>            PointVectorValuePair optimum<a name="line.426"></a>
-<FONT color="green">427</FONT>                = optimizer.optimize(new MaxEval(100),<a name="line.427"></a>
-<FONT color="green">428</FONT>                                     circle.getModelFunction(),<a name="line.428"></a>
-<FONT color="green">429</FONT>                                     circle.getModelFunctionJacobian(),<a name="line.429"></a>
-<FONT color="green">430</FONT>                                     new Target(new double[] { 0, 0, 0, 0, 0 }),<a name="line.430"></a>
-<FONT color="green">431</FONT>                                     new Weight(new double[] { 1, 1, 1, 1, 1 }),<a name="line.431"></a>
-<FONT color="green">432</FONT>                                     new InitialGuess(new double[] { 98.680, 47.345 }));<a name="line.432"></a>
-<FONT color="green">433</FONT>            Assert.assertTrue(optimizer.getEvaluations() &lt; 10);<a name="line.433"></a>
-<FONT color="green">434</FONT>            double rms = optimizer.getRMS();<a name="line.434"></a>
-<FONT color="green">435</FONT>            Assert.assertEquals(1.768262623567235,  FastMath.sqrt(circle.getN()) * rms,  1e-10);<a name="line.435"></a>
-<FONT color="green">436</FONT>            Vector2D center = new Vector2D(optimum.getPointRef()[0], optimum.getPointRef()[1]);<a name="line.436"></a>
-<FONT color="green">437</FONT>            Assert.assertEquals(69.96016176931406, circle.getRadius(center), 1e-6);<a name="line.437"></a>
-<FONT color="green">438</FONT>            Assert.assertEquals(96.07590211815305, center.getX(),            1e-6);<a name="line.438"></a>
-<FONT color="green">439</FONT>            Assert.assertEquals(48.13516790438953, center.getY(),            1e-6);<a name="line.439"></a>
-<FONT color="green">440</FONT>            double[][] cov = optimizer.computeCovariances(optimum.getPoint(), 1e-14);<a name="line.440"></a>
-<FONT color="green">441</FONT>            Assert.assertEquals(1.839, cov[0][0], 0.001);<a name="line.441"></a>
-<FONT color="green">442</FONT>            Assert.assertEquals(0.731, cov[0][1], 0.001);<a name="line.442"></a>
-<FONT color="green">443</FONT>            Assert.assertEquals(cov[0][1], cov[1][0], 1e-14);<a name="line.443"></a>
-<FONT color="green">444</FONT>            Assert.assertEquals(0.786, cov[1][1], 0.001);<a name="line.444"></a>
-<FONT color="green">445</FONT>    <a name="line.445"></a>
-<FONT color="green">446</FONT>            // add perfect measurements and check errors are reduced<a name="line.446"></a>
-<FONT color="green">447</FONT>            double  r = circle.getRadius(center);<a name="line.447"></a>
-<FONT color="green">448</FONT>            for (double d= 0; d &lt; 2 * FastMath.PI; d += 0.01) {<a name="line.448"></a>
-<FONT color="green">449</FONT>                circle.addPoint(center.getX() + r * FastMath.cos(d), center.getY() + r * FastMath.sin(d));<a name="line.449"></a>
-<FONT color="green">450</FONT>            }<a name="line.450"></a>
-<FONT color="green">451</FONT>            double[] target = new double[circle.getN()];<a name="line.451"></a>
-<FONT color="green">452</FONT>            Arrays.fill(target, 0);<a name="line.452"></a>
-<FONT color="green">453</FONT>            double[] weights = new double[circle.getN()];<a name="line.453"></a>
-<FONT color="green">454</FONT>            Arrays.fill(weights, 2);<a name="line.454"></a>
-<FONT color="green">455</FONT>            optimum = optimizer.optimize(new MaxEval(100),<a name="line.455"></a>
-<FONT color="green">456</FONT>                                         circle.getModelFunction(),<a name="line.456"></a>
-<FONT color="green">457</FONT>                                         circle.getModelFunctionJacobian(),<a name="line.457"></a>
-<FONT color="green">458</FONT>                                         new Target(target),<a name="line.458"></a>
-<FONT color="green">459</FONT>                                         new Weight(weights),<a name="line.459"></a>
-<FONT color="green">460</FONT>                                         new InitialGuess(new double[] { 98.680, 47.345 }));<a name="line.460"></a>
-<FONT color="green">461</FONT>            cov = optimizer.computeCovariances(optimum.getPoint(), 1e-14);<a name="line.461"></a>
-<FONT color="green">462</FONT>            Assert.assertEquals(0.0016, cov[0][0], 0.001);<a name="line.462"></a>
-<FONT color="green">463</FONT>            Assert.assertEquals(3.2e-7, cov[0][1], 1e-9);<a name="line.463"></a>
-<FONT color="green">464</FONT>            Assert.assertEquals(cov[0][1], cov[1][0], 1e-14);<a name="line.464"></a>
-<FONT color="green">465</FONT>            Assert.assertEquals(0.0016, cov[1][1], 0.001);<a name="line.465"></a>
-<FONT color="green">466</FONT>        }<a name="line.466"></a>
-<FONT color="green">467</FONT>    <a name="line.467"></a>
-<FONT color="green">468</FONT>        @Test<a name="line.468"></a>
-<FONT color="green">469</FONT>        public void testCircleFittingBadInit() {<a name="line.469"></a>
-<FONT color="green">470</FONT>            CircleVectorial circle = new CircleVectorial();<a name="line.470"></a>
-<FONT color="green">471</FONT>            double[][] points = circlePoints;<a name="line.471"></a>
-<FONT color="green">472</FONT>            double[] target = new double[points.length];<a name="line.472"></a>
-<FONT color="green">473</FONT>            Arrays.fill(target, 0);<a name="line.473"></a>
-<FONT color="green">474</FONT>            double[] weights = new double[points.length];<a name="line.474"></a>
-<FONT color="green">475</FONT>            Arrays.fill(weights, 2);<a name="line.475"></a>
-<FONT color="green">476</FONT>            for (int i = 0; i &lt; points.length; ++i) {<a name="line.476"></a>
-<FONT color="green">477</FONT>                circle.addPoint(points[i][0], points[i][1]);<a name="line.477"></a>
-<FONT color="green">478</FONT>            }<a name="line.478"></a>
-<FONT color="green">479</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.479"></a>
-<FONT color="green">480</FONT>            PointVectorValuePair optimum<a name="line.480"></a>
-<FONT color="green">481</FONT>                = optimizer.optimize(new MaxEval(100),<a name="line.481"></a>
-<FONT color="green">482</FONT>                                     circle.getModelFunction(),<a name="line.482"></a>
-<FONT color="green">483</FONT>                                     circle.getModelFunctionJacobian(),<a name="line.483"></a>
-<FONT color="green">484</FONT>                                     new Target(target),<a name="line.484"></a>
-<FONT color="green">485</FONT>                                     new Weight(weights),<a name="line.485"></a>
-<FONT color="green">486</FONT>                                     new InitialGuess(new double[] { -12, -12 }));<a name="line.486"></a>
-<FONT color="green">487</FONT>            Vector2D center = new Vector2D(optimum.getPointRef()[0], optimum.getPointRef()[1]);<a name="line.487"></a>
-<FONT color="green">488</FONT>            Assert.assertTrue(optimizer.getEvaluations() &lt; 25);<a name="line.488"></a>
-<FONT color="green">489</FONT>            Assert.assertEquals( 0.043, optimizer.getRMS(), 1e-3);<a name="line.489"></a>
-<FONT color="green">490</FONT>            Assert.assertEquals( 0.292235,  circle.getRadius(center), 1e-6);<a name="line.490"></a>
-<FONT color="green">491</FONT>            Assert.assertEquals(-0.151738,  center.getX(),            1e-6);<a name="line.491"></a>
-<FONT color="green">492</FONT>            Assert.assertEquals( 0.2075001, center.getY(),            1e-6);<a name="line.492"></a>
-<FONT color="green">493</FONT>        }<a name="line.493"></a>
-<FONT color="green">494</FONT>    <a name="line.494"></a>
-<FONT color="green">495</FONT>        @Test<a name="line.495"></a>
-<FONT color="green">496</FONT>        public void testCircleFittingGoodInit() {<a name="line.496"></a>
-<FONT color="green">497</FONT>            CircleVectorial circle = new CircleVectorial();<a name="line.497"></a>
-<FONT color="green">498</FONT>            double[][] points = circlePoints;<a name="line.498"></a>
-<FONT color="green">499</FONT>            double[] target = new double[points.length];<a name="line.499"></a>
-<FONT color="green">500</FONT>            Arrays.fill(target, 0);<a name="line.500"></a>
-<FONT color="green">501</FONT>            double[] weights = new double[points.length];<a name="line.501"></a>
-<FONT color="green">502</FONT>            Arrays.fill(weights, 2);<a name="line.502"></a>
-<FONT color="green">503</FONT>            for (int i = 0; i &lt; points.length; ++i) {<a name="line.503"></a>
-<FONT color="green">504</FONT>                circle.addPoint(points[i][0], points[i][1]);<a name="line.504"></a>
-<FONT color="green">505</FONT>            }<a name="line.505"></a>
-<FONT color="green">506</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.506"></a>
-<FONT color="green">507</FONT>            PointVectorValuePair optimum =<a name="line.507"></a>
-<FONT color="green">508</FONT>                optimizer.optimize(new MaxEval(100),<a name="line.508"></a>
-<FONT color="green">509</FONT>                                   circle.getModelFunction(),<a name="line.509"></a>
-<FONT color="green">510</FONT>                                   circle.getModelFunctionJacobian(),<a name="line.510"></a>
-<FONT color="green">511</FONT>                                   new Target(target),<a name="line.511"></a>
-<FONT color="green">512</FONT>                                   new Weight(weights),<a name="line.512"></a>
-<FONT color="green">513</FONT>                                   new InitialGuess(new double[] { 0, 0 }));<a name="line.513"></a>
-<FONT color="green">514</FONT>            Assert.assertEquals(-0.1517383071957963, optimum.getPointRef()[0], 1e-6);<a name="line.514"></a>
-<FONT color="green">515</FONT>            Assert.assertEquals(0.2074999736353867,  optimum.getPointRef()[1], 1e-6);<a name="line.515"></a>
-<FONT color="green">516</FONT>            Assert.assertEquals(0.04268731682389561, optimizer.getRMS(),       1e-8);<a name="line.516"></a>
+<FONT color="green">173</FONT>        public void testNoDependency() {<a name="line.173"></a>
+<FONT color="green">174</FONT>            LinearProblem problem = new LinearProblem(new double[][] {<a name="line.174"></a>
+<FONT color="green">175</FONT>                    { 2, 0, 0, 0, 0, 0 },<a name="line.175"></a>
+<FONT color="green">176</FONT>                    { 0, 2, 0, 0, 0, 0 },<a name="line.176"></a>
+<FONT color="green">177</FONT>                    { 0, 0, 2, 0, 0, 0 },<a name="line.177"></a>
+<FONT color="green">178</FONT>                    { 0, 0, 0, 2, 0, 0 },<a name="line.178"></a>
+<FONT color="green">179</FONT>                    { 0, 0, 0, 0, 2, 0 },<a name="line.179"></a>
+<FONT color="green">180</FONT>                    { 0, 0, 0, 0, 0, 2 }<a name="line.180"></a>
+<FONT color="green">181</FONT>            }, new double[] { 0, 1.1, 2.2, 3.3, 4.4, 5.5 });<a name="line.181"></a>
+<FONT color="green">182</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.182"></a>
+<FONT color="green">183</FONT>            PointVectorValuePair optimum =<a name="line.183"></a>
+<FONT color="green">184</FONT>                optimizer.optimize(new MaxEval(100),<a name="line.184"></a>
+<FONT color="green">185</FONT>                                   problem.getModelFunction(),<a name="line.185"></a>
+<FONT color="green">186</FONT>                                   problem.getModelFunctionJacobian(),<a name="line.186"></a>
+<FONT color="green">187</FONT>                                   problem.getTarget(),<a name="line.187"></a>
+<FONT color="green">188</FONT>                                   new Weight(new double[] { 1, 1, 1, 1, 1, 1 }),<a name="line.188"></a>
+<FONT color="green">189</FONT>                                   new InitialGuess(new double[] { 0, 0, 0, 0, 0, 0 }));<a name="line.189"></a>
+<FONT color="green">190</FONT>            Assert.assertEquals(0, optimizer.getRMS(), 1e-10);<a name="line.190"></a>
+<FONT color="green">191</FONT>            for (int i = 0; i &lt; problem.target.length; ++i) {<a name="line.191"></a>
+<FONT color="green">192</FONT>                Assert.assertEquals(0.55 * i, optimum.getPoint()[i], 1e-10);<a name="line.192"></a>
+<FONT color="green">193</FONT>            }<a name="line.193"></a>
+<FONT color="green">194</FONT>        }<a name="line.194"></a>
+<FONT color="green">195</FONT>    <a name="line.195"></a>
+<FONT color="green">196</FONT>        @Test<a name="line.196"></a>
+<FONT color="green">197</FONT>        public void testOneSet() {<a name="line.197"></a>
+<FONT color="green">198</FONT>    <a name="line.198"></a>
+<FONT color="green">199</FONT>            LinearProblem problem = new LinearProblem(new double[][] {<a name="line.199"></a>
+<FONT color="green">200</FONT>                    {  1,  0, 0 },<a name="line.200"></a>
+<FONT color="green">201</FONT>                    { -1,  1, 0 },<a name="line.201"></a>
+<FONT color="green">202</FONT>                    {  0, -1, 1 }<a name="line.202"></a>
+<FONT color="green">203</FONT>            }, new double[] { 1, 1, 1});<a name="line.203"></a>
+<FONT color="green">204</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.204"></a>
+<FONT color="green">205</FONT>            PointVectorValuePair optimum =<a name="line.205"></a>
+<FONT color="green">206</FONT>                optimizer.optimize(new MaxEval(100),<a name="line.206"></a>
+<FONT color="green">207</FONT>                                   problem.getModelFunction(),<a name="line.207"></a>
+<FONT color="green">208</FONT>                                   problem.getModelFunctionJacobian(),<a name="line.208"></a>
+<FONT color="green">209</FONT>                                   problem.getTarget(),<a name="line.209"></a>
+<FONT color="green">210</FONT>                                   new Weight(new double[] { 1, 1, 1 }),<a name="line.210"></a>
+<FONT color="green">211</FONT>                                   new InitialGuess(new double[] { 0, 0, 0 }));<a name="line.211"></a>
+<FONT color="green">212</FONT>            Assert.assertEquals(0, optimizer.getRMS(), 1e-10);<a name="line.212"></a>
+<FONT color="green">213</FONT>            Assert.assertEquals(1, optimum.getPoint()[0], 1e-10);<a name="line.213"></a>
+<FONT color="green">214</FONT>            Assert.assertEquals(2, optimum.getPoint()[1], 1e-10);<a name="line.214"></a>
+<FONT color="green">215</FONT>            Assert.assertEquals(3, optimum.getPoint()[2], 1e-10);<a name="line.215"></a>
+<FONT color="green">216</FONT>        }<a name="line.216"></a>
+<FONT color="green">217</FONT>    <a name="line.217"></a>
+<FONT color="green">218</FONT>        @Test<a name="line.218"></a>
+<FONT color="green">219</FONT>        public void testTwoSets() {<a name="line.219"></a>
+<FONT color="green">220</FONT>            double epsilon = 1e-7;<a name="line.220"></a>
+<FONT color="green">221</FONT>            LinearProblem problem = new LinearProblem(new double[][] {<a name="line.221"></a>
+<FONT color="green">222</FONT>                    {  2,  1,   0,  4,       0, 0 },<a name="line.222"></a>
+<FONT color="green">223</FONT>                    { -4, -2,   3, -7,       0, 0 },<a name="line.223"></a>
+<FONT color="green">224</FONT>                    {  4,  1,  -2,  8,       0, 0 },<a name="line.224"></a>
+<FONT color="green">225</FONT>                    {  0, -3, -12, -1,       0, 0 },<a name="line.225"></a>
+<FONT color="green">226</FONT>                    {  0,  0,   0,  0, epsilon, 1 },<a name="line.226"></a>
+<FONT color="green">227</FONT>                    {  0,  0,   0,  0,       1, 1 }<a name="line.227"></a>
+<FONT color="green">228</FONT>            }, new double[] { 2, -9, 2, 2, 1 + epsilon * epsilon, 2});<a name="line.228"></a>
+<FONT color="green">229</FONT>    <a name="line.229"></a>
+<FONT color="green">230</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.230"></a>
+<FONT color="green">231</FONT>            PointVectorValuePair optimum =<a name="line.231"></a>
+<FONT color="green">232</FONT>                optimizer.optimize(new MaxEval(100),<a name="line.232"></a>
+<FONT color="green">233</FONT>                                   problem.getModelFunction(),<a name="line.233"></a>
+<FONT color="green">234</FONT>                                   problem.getModelFunctionJacobian(),<a name="line.234"></a>
+<FONT color="green">235</FONT>                                   problem.getTarget(),<a name="line.235"></a>
+<FONT color="green">236</FONT>                                   new Weight(new double[] { 1, 1, 1, 1, 1, 1 }),<a name="line.236"></a>
+<FONT color="green">237</FONT>                                   new InitialGuess(new double[] { 0, 0, 0, 0, 0, 0 }));<a name="line.237"></a>
+<FONT color="green">238</FONT>            Assert.assertEquals(0, optimizer.getRMS(), 1e-10);<a name="line.238"></a>
+<FONT color="green">239</FONT>            Assert.assertEquals(3, optimum.getPoint()[0], 1e-10);<a name="line.239"></a>
+<FONT color="green">240</FONT>            Assert.assertEquals(4, optimum.getPoint()[1], 1e-10);<a name="line.240"></a>
+<FONT color="green">241</FONT>            Assert.assertEquals(-1, optimum.getPoint()[2], 1e-10);<a name="line.241"></a>
+<FONT color="green">242</FONT>            Assert.assertEquals(-2, optimum.getPoint()[3], 1e-10);<a name="line.242"></a>
+<FONT color="green">243</FONT>            Assert.assertEquals(1 + epsilon, optimum.getPoint()[4], 1e-10);<a name="line.243"></a>
+<FONT color="green">244</FONT>            Assert.assertEquals(1 - epsilon, optimum.getPoint()[5], 1e-10);<a name="line.244"></a>
+<FONT color="green">245</FONT>        }<a name="line.245"></a>
+<FONT color="green">246</FONT>    <a name="line.246"></a>
+<FONT color="green">247</FONT>        @Test(expected=ConvergenceException.class)<a name="line.247"></a>
+<FONT color="green">248</FONT>        public void testNonInvertible() throws Exception {<a name="line.248"></a>
+<FONT color="green">249</FONT>    <a name="line.249"></a>
+<FONT color="green">250</FONT>            LinearProblem problem = new LinearProblem(new double[][] {<a name="line.250"></a>
+<FONT color="green">251</FONT>                    {  1, 2, -3 },<a name="line.251"></a>
+<FONT color="green">252</FONT>                    {  2, 1,  3 },<a name="line.252"></a>
+<FONT color="green">253</FONT>                    { -3, 0, -9 }<a name="line.253"></a>
+<FONT color="green">254</FONT>            }, new double[] { 1, 1, 1 });<a name="line.254"></a>
+<FONT color="green">255</FONT>    <a name="line.255"></a>
+<FONT color="green">256</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.256"></a>
+<FONT color="green">257</FONT>    <a name="line.257"></a>
+<FONT color="green">258</FONT>            optimizer.optimize(new MaxEval(100),<a name="line.258"></a>
+<FONT color="green">259</FONT>                               problem.getModelFunction(),<a name="line.259"></a>
+<FONT color="green">260</FONT>                               problem.getModelFunctionJacobian(),<a name="line.260"></a>
+<FONT color="green">261</FONT>                               problem.getTarget(),<a name="line.261"></a>
+<FONT color="green">262</FONT>                               new Weight(new double[] { 1, 1, 1 }),<a name="line.262"></a>
+<FONT color="green">263</FONT>                               new InitialGuess(new double[] { 0, 0, 0 }));<a name="line.263"></a>
+<FONT color="green">264</FONT>        }<a name="line.264"></a>
+<FONT color="green">265</FONT>    <a name="line.265"></a>
+<FONT color="green">266</FONT>        @Test<a name="line.266"></a>
+<FONT color="green">267</FONT>        public void testIllConditioned() {<a name="line.267"></a>
+<FONT color="green">268</FONT>            LinearProblem problem1 = new LinearProblem(new double[][] {<a name="line.268"></a>
+<FONT color="green">269</FONT>                    { 10, 7,  8,  7 },<a name="line.269"></a>
+<FONT color="green">270</FONT>                    {  7, 5,  6,  5 },<a name="line.270"></a>
+<FONT color="green">271</FONT>                    {  8, 6, 10,  9 },<a name="line.271"></a>
+<FONT color="green">272</FONT>                    {  7, 5,  9, 10 }<a name="line.272"></a>
+<FONT color="green">273</FONT>            }, new double[] { 32, 23, 33, 31 });<a name="line.273"></a>
+<FONT color="green">274</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.274"></a>
+<FONT color="green">275</FONT>            PointVectorValuePair optimum1 =<a name="line.275"></a>
+<FONT color="green">276</FONT>                optimizer.optimize(new MaxEval(100),<a name="line.276"></a>
+<FONT color="green">277</FONT>                                   problem1.getModelFunction(),<a name="line.277"></a>
+<FONT color="green">278</FONT>                                   problem1.getModelFunctionJacobian(),<a name="line.278"></a>
+<FONT color="green">279</FONT>                                   problem1.getTarget(),<a name="line.279"></a>
+<FONT color="green">280</FONT>                                   new Weight(new double[] { 1, 1, 1, 1 }),<a name="line.280"></a>
+<FONT color="green">281</FONT>                                   new InitialGuess(new double[] { 0, 1, 2, 3 }));<a name="line.281"></a>
+<FONT color="green">282</FONT>            Assert.assertEquals(0, optimizer.getRMS(), 1e-10);<a name="line.282"></a>
+<FONT color="green">283</FONT>            Assert.assertEquals(1, optimum1.getPoint()[0], 1e-10);<a name="line.283"></a>
+<FONT color="green">284</FONT>            Assert.assertEquals(1, optimum1.getPoint()[1], 1e-10);<a name="line.284"></a>
+<FONT color="green">285</FONT>            Assert.assertEquals(1, optimum1.getPoint()[2], 1e-10);<a name="line.285"></a>
+<FONT color="green">286</FONT>            Assert.assertEquals(1, optimum1.getPoint()[3], 1e-10);<a name="line.286"></a>
+<FONT color="green">287</FONT>    <a name="line.287"></a>
+<FONT color="green">288</FONT>            LinearProblem problem2 = new LinearProblem(new double[][] {<a name="line.288"></a>
+<FONT color="green">289</FONT>                    { 10.00, 7.00, 8.10, 7.20 },<a name="line.289"></a>
+<FONT color="green">290</FONT>                    {  7.08, 5.04, 6.00, 5.00 },<a name="line.290"></a>
+<FONT color="green">291</FONT>                    {  8.00, 5.98, 9.89, 9.00 },<a name="line.291"></a>
+<FONT color="green">292</FONT>                    {  6.99, 4.99, 9.00, 9.98 }<a name="line.292"></a>
+<FONT color="green">293</FONT>            }, new double[] { 32, 23, 33, 31 });<a name="line.293"></a>
+<FONT color="green">294</FONT>            PointVectorValuePair optimum2 =<a name="line.294"></a>
+<FONT color="green">295</FONT>                optimizer.optimize(new MaxEval(100),<a name="line.295"></a>
+<FONT color="green">296</FONT>                                   problem2.getModelFunction(),<a name="line.296"></a>
+<FONT color="green">297</FONT>                                   problem2.getModelFunctionJacobian(),<a name="line.297"></a>
+<FONT color="green">298</FONT>                                   problem2.getTarget(), <a name="line.298"></a>
+<FONT color="green">299</FONT>                                   new Weight(new double[] { 1, 1, 1, 1 }),<a name="line.299"></a>
+<FONT color="green">300</FONT>                                   new InitialGuess(new double[] { 0, 1, 2, 3 }));<a name="line.300"></a>
+<FONT color="green">301</FONT>            Assert.assertEquals(0, optimizer.getRMS(), 1e-10);<a name="line.301"></a>
+<FONT color="green">302</FONT>            Assert.assertEquals(-81, optimum2.getPoint()[0], 1e-8);<a name="line.302"></a>
+<FONT color="green">303</FONT>            Assert.assertEquals(137, optimum2.getPoint()[1], 1e-8);<a name="line.303"></a>
+<FONT color="green">304</FONT>            Assert.assertEquals(-34, optimum2.getPoint()[2], 1e-8);<a name="line.304"></a>
+<FONT color="green">305</FONT>            Assert.assertEquals( 22, optimum2.getPoint()[3], 1e-8);<a name="line.305"></a>
+<FONT color="green">306</FONT>        }<a name="line.306"></a>
+<FONT color="green">307</FONT>    <a name="line.307"></a>
+<FONT color="green">308</FONT>        @Test<a name="line.308"></a>
+<FONT color="green">309</FONT>        public void testMoreEstimatedParametersSimple() {<a name="line.309"></a>
+<FONT color="green">310</FONT>    <a name="line.310"></a>
+<FONT color="green">311</FONT>            LinearProblem problem = new LinearProblem(new double[][] {<a name="line.311"></a>
+<FONT color="green">312</FONT>                    { 3, 2,  0, 0 },<a name="line.312"></a>
+<FONT color="green">313</FONT>                    { 0, 1, -1, 1 },<a name="line.313"></a>
+<FONT color="green">314</FONT>                    { 2, 0,  1, 0 }<a name="line.314"></a>
+<FONT color="green">315</FONT>            }, new double[] { 7, 3, 5 });<a name="line.315"></a>
+<FONT color="green">316</FONT>    <a name="line.316"></a>
+<FONT color="green">317</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.317"></a>
+<FONT color="green">318</FONT>            optimizer.optimize(new MaxEval(100),<a name="line.318"></a>
+<FONT color="green">319</FONT>                               problem.getModelFunction(),<a name="line.319"></a>
+<FONT color="green">320</FONT>                               problem.getModelFunctionJacobian(),<a name="line.320"></a>
+<FONT color="green">321</FONT>                               problem.getTarget(),<a name="line.321"></a>
+<FONT color="green">322</FONT>                               new Weight(new double[] { 1, 1, 1 }),<a name="line.322"></a>
+<FONT color="green">323</FONT>                               new InitialGuess(new double[] { 7, 6, 5, 4 }));<a name="line.323"></a>
+<FONT color="green">324</FONT>            Assert.assertEquals(0, optimizer.getRMS(), 1e-10);<a name="line.324"></a>
+<FONT color="green">325</FONT>        }<a name="line.325"></a>
+<FONT color="green">326</FONT>    <a name="line.326"></a>
+<FONT color="green">327</FONT>        @Test<a name="line.327"></a>
+<FONT color="green">328</FONT>        public void testMoreEstimatedParametersUnsorted() {<a name="line.328"></a>
+<FONT color="green">329</FONT>            LinearProblem problem = new LinearProblem(new double[][] {<a name="line.329"></a>
+<FONT color="green">330</FONT>                    { 1, 1,  0,  0, 0,  0 },<a name="line.330"></a>
+<FONT color="green">331</FONT>                    { 0, 0,  1,  1, 1,  0 },<a name="line.331"></a>
+<FONT color="green">332</FONT>                    { 0, 0,  0,  0, 1, -1 },<a name="line.332"></a>
+<FONT color="green">333</FONT>                    { 0, 0, -1,  1, 0,  1 },<a name="line.333"></a>
+<FONT color="green">334</FONT>                    { 0, 0,  0, -1, 1,  0 }<a name="line.334"></a>
+<FONT color="green">335</FONT>           }, new double[] { 3, 12, -1, 7, 1 });<a name="line.335"></a>
+<FONT color="green">336</FONT>    <a name="line.336"></a>
+<FONT color="green">337</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.337"></a>
+<FONT color="green">338</FONT>            PointVectorValuePair optimum =<a name="line.338"></a>
+<FONT color="green">339</FONT>                optimizer.optimize(new MaxEval(100),<a name="line.339"></a>
+<FONT color="green">340</FONT>                                   problem.getModelFunction(),<a name="line.340"></a>
+<FONT color="green">341</FONT>                                   problem.getModelFunctionJacobian(),<a name="line.341"></a>
+<FONT color="green">342</FONT>                                   problem.getTarget(),<a name="line.342"></a>
+<FONT color="green">343</FONT>                                   new Weight(new double[] { 1, 1, 1, 1, 1 }),<a name="line.343"></a>
+<FONT color="green">344</FONT>                                   new InitialGuess(new double[] { 2, 2, 2, 2, 2, 2 }));<a name="line.344"></a>
+<FONT color="green">345</FONT>            Assert.assertEquals(0, optimizer.getRMS(), 1e-10);<a name="line.345"></a>
+<FONT color="green">346</FONT>            Assert.assertEquals(3, optimum.getPointRef()[2], 1e-10);<a name="line.346"></a>
+<FONT color="green">347</FONT>            Assert.assertEquals(4, optimum.getPointRef()[3], 1e-10);<a name="line.347"></a>
+<FONT color="green">348</FONT>            Assert.assertEquals(5, optimum.getPointRef()[4], 1e-10);<a name="line.348"></a>
+<FONT color="green">349</FONT>            Assert.assertEquals(6, optimum.getPointRef()[5], 1e-10);<a name="line.349"></a>
+<FONT color="green">350</FONT>        }<a name="line.350"></a>
+<FONT color="green">351</FONT>    <a name="line.351"></a>
+<FONT color="green">352</FONT>        @Test<a name="line.352"></a>
+<FONT color="green">353</FONT>        public void testRedundantEquations() {<a name="line.353"></a>
+<FONT color="green">354</FONT>            LinearProblem problem = new LinearProblem(new double[][] {<a name="line.354"></a>
+<FONT color="green">355</FONT>                    { 1,  1 },<a name="line.355"></a>
+<FONT color="green">356</FONT>                    { 1, -1 },<a name="line.356"></a>
+<FONT color="green">357</FONT>                    { 1,  3 }<a name="line.357"></a>
+<FONT color="green">358</FONT>            }, new double[] { 3, 1, 5 });<a name="line.358"></a>
+<FONT color="green">359</FONT>    <a name="line.359"></a>
+<FONT color="green">360</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.360"></a>
+<FONT color="green">361</FONT>            PointVectorValuePair optimum =<a name="line.361"></a>
+<FONT color="green">362</FONT>                optimizer.optimize(new MaxEval(100),<a name="line.362"></a>
+<FONT color="green">363</FONT>                                   problem.getModelFunction(),<a name="line.363"></a>
+<FONT color="green">364</FONT>                                   problem.getModelFunctionJacobian(),<a name="line.364"></a>
+<FONT color="green">365</FONT>                                   problem.getTarget(),<a name="line.365"></a>
+<FONT color="green">366</FONT>                                   new Weight(new double[] { 1, 1, 1 }),<a name="line.366"></a>
+<FONT color="green">367</FONT>                                   new InitialGuess(new double[] { 1, 1 }));<a name="line.367"></a>
+<FONT color="green">368</FONT>            Assert.assertEquals(0, optimizer.getRMS(), 1e-10);<a name="line.368"></a>
+<FONT color="green">369</FONT>            Assert.assertEquals(2, optimum.getPointRef()[0], 1e-10);<a name="line.369"></a>
+<FONT color="green">370</FONT>            Assert.assertEquals(1, optimum.getPointRef()[1], 1e-10);<a name="line.370"></a>
+<FONT color="green">371</FONT>        }<a name="line.371"></a>
+<FONT color="green">372</FONT>    <a name="line.372"></a>
+<FONT color="green">373</FONT>        @Test<a name="line.373"></a>
+<FONT color="green">374</FONT>        public void testInconsistentEquations() {<a name="line.374"></a>
+<FONT color="green">375</FONT>            LinearProblem problem = new LinearProblem(new double[][] {<a name="line.375"></a>
+<FONT color="green">376</FONT>                    { 1,  1 },<a name="line.376"></a>
+<FONT color="green">377</FONT>                    { 1, -1 },<a name="line.377"></a>
+<FONT color="green">378</FONT>                    { 1,  3 }<a name="line.378"></a>
+<FONT color="green">379</FONT>            }, new double[] { 3, 1, 4 });<a name="line.379"></a>
+<FONT color="green">380</FONT>    <a name="line.380"></a>
+<FONT color="green">381</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.381"></a>
+<FONT color="green">382</FONT>            optimizer.optimize(new MaxEval(100),<a name="line.382"></a>
+<FONT color="green">383</FONT>                               problem.getModelFunction(),<a name="line.383"></a>
+<FONT color="green">384</FONT>                               problem.getModelFunctionJacobian(),<a name="line.384"></a>
+<FONT color="green">385</FONT>                               problem.getTarget(),<a name="line.385"></a>
+<FONT color="green">386</FONT>                               new Weight(new double[] { 1, 1, 1 }),<a name="line.386"></a>
+<FONT color="green">387</FONT>                               new InitialGuess(new double[] { 1, 1 }));<a name="line.387"></a>
+<FONT color="green">388</FONT>            Assert.assertTrue(optimizer.getRMS() &gt; 0.1);<a name="line.388"></a>
+<FONT color="green">389</FONT>        }<a name="line.389"></a>
+<FONT color="green">390</FONT>    <a name="line.390"></a>
+<FONT color="green">391</FONT>        @Test(expected=DimensionMismatchException.class)<a name="line.391"></a>
+<FONT color="green">392</FONT>        public void testInconsistentSizes1() {<a name="line.392"></a>
+<FONT color="green">393</FONT>            LinearProblem problem<a name="line.393"></a>
+<FONT color="green">394</FONT>                = new LinearProblem(new double[][] { { 1, 0 }, { 0, 1 } },<a name="line.394"></a>
+<FONT color="green">395</FONT>                                    new double[] { -1, 1 });<a name="line.395"></a>
+<FONT color="green">396</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.396"></a>
+<FONT color="green">397</FONT>            PointVectorValuePair optimum =<a name="line.397"></a>
+<FONT color="green">398</FONT>                optimizer.optimize(new MaxEval(100),<a name="line.398"></a>
+<FONT color="green">399</FONT>                                   problem.getModelFunction(),<a name="line.399"></a>
+<FONT color="green">400</FONT>                                   problem.getModelFunctionJacobian(),<a name="line.400"></a>
+<FONT color="green">401</FONT>                                   problem.getTarget(),<a name="line.401"></a>
+<FONT color="green">402</FONT>                                   new Weight(new double[] { 1, 1 }),<a name="line.402"></a>
+<FONT color="green">403</FONT>                                   new InitialGuess(new double[] { 0, 0 }));<a name="line.403"></a>
+<FONT color="green">404</FONT>            Assert.assertEquals(0, optimizer.getRMS(), 1e-10);<a name="line.404"></a>
+<FONT color="green">405</FONT>            Assert.assertEquals(-1, optimum.getPoint()[0], 1e-10);<a name="line.405"></a>
+<FONT color="green">406</FONT>            Assert.assertEquals(1, optimum.getPoint()[1], 1e-10);<a name="line.406"></a>
+<FONT color="green">407</FONT>    <a name="line.407"></a>
+<FONT color="green">408</FONT>            optimizer.optimize(new MaxEval(100),<a name="line.408"></a>
+<FONT color="green">409</FONT>                               problem.getModelFunction(),<a name="line.409"></a>
+<FONT color="green">410</FONT>                               problem.getModelFunctionJacobian(),<a name="line.410"></a>
+<FONT color="green">411</FONT>                               problem.getTarget(),<a name="line.411"></a>
+<FONT color="green">412</FONT>                               new Weight(new double[] { 1 }),<a name="line.412"></a>
+<FONT color="green">413</FONT>                               new InitialGuess(new double[] { 0, 0 }));<a name="line.413"></a>
+<FONT color="green">414</FONT>        }<a name="line.414"></a>
+<FONT color="green">415</FONT>    <a name="line.415"></a>
+<FONT color="green">416</FONT>        @Test(expected=DimensionMismatchException.class)<a name="line.416"></a>
+<FONT color="green">417</FONT>        public void testInconsistentSizes2() {<a name="line.417"></a>
+<FONT color="green">418</FONT>            LinearProblem problem<a name="line.418"></a>
+<FONT color="green">419</FONT>                = new LinearProblem(new double[][] { { 1, 0 }, { 0, 1 } },<a name="line.419"></a>
+<FONT color="green">420</FONT>                                    new double[] { -1, 1 });<a name="line.420"></a>
+<FONT color="green">421</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.421"></a>
+<FONT color="green">422</FONT>            PointVectorValuePair optimum<a name="line.422"></a>
+<FONT color="green">423</FONT>                = optimizer.optimize(new MaxEval(100),<a name="line.423"></a>
+<FONT color="green">424</FONT>                                     problem.getModelFunction(),<a name="line.424"></a>
+<FONT color="green">425</FONT>                                     problem.getModelFunctionJacobian(),<a name="line.425"></a>
+<FONT color="green">426</FONT>                                     problem.getTarget(),<a name="line.426"></a>
+<FONT color="green">427</FONT>                                     new Weight(new double[] { 1, 1 }),<a name="line.427"></a>
+<FONT color="green">428</FONT>                                     new InitialGuess(new double[] { 0, 0 }));<a name="line.428"></a>
+<FONT color="green">429</FONT>            Assert.assertEquals(0, optimizer.getRMS(), 1e-10);<a name="line.429"></a>
+<FONT color="green">430</FONT>            Assert.assertEquals(-1, optimum.getPoint()[0], 1e-10);<a name="line.430"></a>
+<FONT color="green">431</FONT>            Assert.assertEquals(1, optimum.getPoint()[1], 1e-10);<a name="line.431"></a>
+<FONT color="green">432</FONT>    <a name="line.432"></a>
+<FONT color="green">433</FONT>            optimizer.optimize(new MaxEval(100),<a name="line.433"></a>
+<FONT color="green">434</FONT>                               problem.getModelFunction(),<a name="line.434"></a>
+<FONT color="green">435</FONT>                               problem.getModelFunctionJacobian(),<a name="line.435"></a>
+<FONT color="green">436</FONT>                               new Target(new double[] { 1 }),<a name="line.436"></a>
+<FONT color="green">437</FONT>                               new Weight(new double[] { 1 }),<a name="line.437"></a>
+<FONT color="green">438</FONT>                               new InitialGuess(new double[] { 0, 0 }));<a name="line.438"></a>
+<FONT color="green">439</FONT>        }<a name="line.439"></a>
+<FONT color="green">440</FONT>    <a name="line.440"></a>
+<FONT color="green">441</FONT>        @Test<a name="line.441"></a>
+<FONT color="green">442</FONT>        public void testCircleFitting() {<a name="line.442"></a>
+<FONT color="green">443</FONT>            CircleVectorial circle = new CircleVectorial();<a name="line.443"></a>
+<FONT color="green">444</FONT>            circle.addPoint( 30,  68);<a name="line.444"></a>
+<FONT color="green">445</FONT>            circle.addPoint( 50,  -6);<a name="line.445"></a>
+<FONT color="green">446</FONT>            circle.addPoint(110, -20);<a name="line.446"></a>
+<FONT color="green">447</FONT>            circle.addPoint( 35,  15);<a name="line.447"></a>
+<FONT color="green">448</FONT>            circle.addPoint( 45,  97);<a name="line.448"></a>
+<FONT color="green">449</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.449"></a>
+<FONT color="green">450</FONT>            PointVectorValuePair optimum<a name="line.450"></a>
+<FONT color="green">451</FONT>                = optimizer.optimize(new MaxEval(100),<a name="line.451"></a>
+<FONT color="green">452</FONT>                                     circle.getModelFunction(),<a name="line.452"></a>
+<FONT color="green">453</FONT>                                     circle.getModelFunctionJacobian(),<a name="line.453"></a>
+<FONT color="green">454</FONT>                                     new Target(new double[] { 0, 0, 0, 0, 0 }),<a name="line.454"></a>
+<FONT color="green">455</FONT>                                     new Weight(new double[] { 1, 1, 1, 1, 1 }),<a name="line.455"></a>
+<FONT color="green">456</FONT>                                     new InitialGuess(new double[] { 98.680, 47.345 }));<a name="line.456"></a>
+<FONT color="green">457</FONT>            Assert.assertTrue(optimizer.getEvaluations() &lt; 10);<a name="line.457"></a>
+<FONT color="green">458</FONT>            double rms = optimizer.getRMS();<a name="line.458"></a>
+<FONT color="green">459</FONT>            Assert.assertEquals(1.768262623567235,  FastMath.sqrt(circle.getN()) * rms,  1e-10);<a name="line.459"></a>
+<FONT color="green">460</FONT>            Vector2D center = new Vector2D(optimum.getPointRef()[0], optimum.getPointRef()[1]);<a name="line.460"></a>
+<FONT color="green">461</FONT>            Assert.assertEquals(69.96016176931406, circle.getRadius(center), 1e-6);<a name="line.461"></a>
+<FONT color="green">462</FONT>            Assert.assertEquals(96.07590211815305, center.getX(),            1e-6);<a name="line.462"></a>
+<FONT color="green">463</FONT>            Assert.assertEquals(48.13516790438953, center.getY(),            1e-6);<a name="line.463"></a>
+<FONT color="green">464</FONT>            double[][] cov = optimizer.computeCovariances(optimum.getPoint(), 1e-14);<a name="line.464"></a>
+<FONT color="green">465</FONT>            Assert.assertEquals(1.839, cov[0][0], 0.001);<a name="line.465"></a>
+<FONT color="green">466</FONT>            Assert.assertEquals(0.731, cov[0][1], 0.001);<a name="line.466"></a>
+<FONT color="green">467</FONT>            Assert.assertEquals(cov[0][1], cov[1][0], 1e-14);<a name="line.467"></a>
+<FONT color="green">468</FONT>            Assert.assertEquals(0.786, cov[1][1], 0.001);<a name="line.468"></a>
+<FONT color="green">469</FONT>    <a name="line.469"></a>
+<FONT color="green">470</FONT>            // add perfect measurements and check errors are reduced<a name="line.470"></a>
+<FONT color="green">471</FONT>            double  r = circle.getRadius(center);<a name="line.471"></a>
+<FONT color="green">472</FONT>            for (double d= 0; d &lt; 2 * FastMath.PI; d += 0.01) {<a name="line.472"></a>
+<FONT color="green">473</FONT>                circle.addPoint(center.getX() + r * FastMath.cos(d), center.getY() + r * FastMath.sin(d));<a name="line.473"></a>
+<FONT color="green">474</FONT>            }<a name="line.474"></a>
+<FONT color="green">475</FONT>            double[] target = new double[circle.getN()];<a name="line.475"></a>
+<FONT color="green">476</FONT>            Arrays.fill(target, 0);<a name="line.476"></a>
+<FONT color="green">477</FONT>            double[] weights = new double[circle.getN()];<a name="line.477"></a>
+<FONT color="green">478</FONT>            Arrays.fill(weights, 2);<a name="line.478"></a>
+<FONT color="green">479</FONT>            optimum = optimizer.optimize(new MaxEval(100),<a name="line.479"></a>
+<FONT color="green">480</FONT>                                         circle.getModelFunction(),<a name="line.480"></a>
+<FONT color="green">481</FONT>                                         circle.getModelFunctionJacobian(),<a name="line.481"></a>
+<FONT color="green">482</FONT>                                         new Target(target),<a name="line.482"></a>
+<FONT color="green">483</FONT>                                         new Weight(weights),<a name="line.483"></a>
+<FONT color="green">484</FONT>                                         new InitialGuess(new double[] { 98.680, 47.345 }));<a name="line.484"></a>
+<FONT color="green">485</FONT>            cov = optimizer.computeCovariances(optimum.getPoint(), 1e-14);<a name="line.485"></a>
+<FONT color="green">486</FONT>            Assert.assertEquals(0.0016, cov[0][0], 0.001);<a name="line.486"></a>
+<FONT color="green">487</FONT>            Assert.assertEquals(3.2e-7, cov[0][1], 1e-9);<a name="line.487"></a>
+<FONT color="green">488</FONT>            Assert.assertEquals(cov[0][1], cov[1][0], 1e-14);<a name="line.488"></a>
+<FONT color="green">489</FONT>            Assert.assertEquals(0.0016, cov[1][1], 0.001);<a name="line.489"></a>
+<FONT color="green">490</FONT>        }<a name="line.490"></a>
+<FONT color="green">491</FONT>    <a name="line.491"></a>
+<FONT color="green">492</FONT>        @Test<a name="line.492"></a>
+<FONT color="green">493</FONT>        public void testCircleFittingBadInit() {<a name="line.493"></a>
+<FONT color="green">494</FONT>            CircleVectorial circle = new CircleVectorial();<a name="line.494"></a>
+<FONT color="green">495</FONT>            double[][] points = circlePoints;<a name="line.495"></a>
+<FONT color="green">496</FONT>            double[] target = new double[points.length];<a name="line.496"></a>
+<FONT color="green">497</FONT>            Arrays.fill(target, 0);<a name="line.497"></a>
+<FONT color="green">498</FONT>            double[] weights = new double[points.length];<a name="line.498"></a>
+<FONT color="green">499</FONT>            Arrays.fill(weights, 2);<a name="line.499"></a>
+<FONT color="green">500</FONT>            for (int i = 0; i &lt; points.length; ++i) {<a name="line.500"></a>
+<FONT color="green">501</FONT>                circle.addPoint(points[i][0], points[i][1]);<a name="line.501"></a>
+<FONT color="green">502</FONT>            }<a name="line.502"></a>
+<FONT color="green">503</FONT>            AbstractLeastSquaresOptimizer optimizer = createOptimizer();<a name="line.503"></a>
+<FONT color="green">504</FONT>            PointVectorValuePair optimum<a name="line.504"></a>
+<FONT color="green">505</FONT>                = optimizer.optimize(new MaxEval(100),<a name="line.505"></a>
+<FONT color="green">506</FONT>                                     circle.getModelFunction(),<a name="line.506"></a>
+<FONT color="green">507</FONT>                                     circle.getModelFunctionJacobian(),<a name="line.507"></a>
+<FONT color="green">508</FONT>                                     new Target(target),<a name="line.508"></a>
+<FONT color="green">509</FONT>                                     new Weight(weights),<a name="line.509"></a>
+<FONT color="green">510</FONT>                                     new InitialGuess(new double[] { -12, -12 }));<a name="line.510"></a>
+<FONT color="green">511</FONT>            Vector2D center = new Vector2D(optimum.getPointRef()[0], optimum.getPointRef()[1]);<a name="line.511"></a>
+<FONT color="green">512</FONT>            Assert.assertTrue(optimizer.getEvaluations() &lt; 25);<a name="line.512"></a>
+<FONT color="green">513</FONT>            Assert.assertEquals( 0.043, optimizer.getRMS(), 1e-3);<a name="line.513"></a>
+<FONT color="green">514</FONT>            Assert.assertEquals( 0.292235,  circle.getRadius(center), 1e-6);<a name="line.514"></a>
+<FONT color="green">515</FONT>            Assert.assertEquals(-0.151738,  center.getX(),            1e-6);<a name="line.515"></a>
+<FONT color="green">516</FONT>            Assert.assertEquals( 0.2075001, center.getY(),            1e-6);<a name="line.516"></a>
 <FONT color="green">517</FONT>        }<a name="line.517"></a>
 <FONT color="green">518</FONT>    <a name="line.518"></a>
-<FONT color="green">519</FONT>        private final double[][] circlePoints = new double[][] {<a name="line.519"></a>
-<FONT color="green">520</FONT>            {-0.312967,  0.072366}, {-0.339248,  0.132965}, {-0.379780,  0.202724},<a name="line.520"></a>
-<FONT color="green">521</FONT>            {-0.390426,  0.260487}, {-0.361212,  0.328325}, {-0.346039,  0.392619},<a name="line.521"></a>
-<FONT color="green">522</FONT>            {-0.280579,  0.444306}, {-0.216035,  0.470009}, {-0.149127,  0.493832},<a name="line.522"></a>
-<FONT color="green">523</FONT>            {-0.075133,  0.483271}, {-0.007759,  0.452680}, { 0.060071,  0.410235},<a name="line.523"></a>
-<FONT color="green">524</FONT>            { 0.103037,  0.341076}, { 0.118438,  0.273884}, { 0.131293,  0.192201},<a name="line.524"></a>
-<FONT color="green">525</FONT>            { 0.115869,  0.129797}, { 0.072223,  0.058396}, { 0.022884,  0.000718},<a name="line.525"></a>
-<FONT color="green">526</FONT>            {-0.053355, -0.020405}, {-0.123584, -0.032451}, {-0.216248, -0.032862},<a name="line.526"></a>
-<FONT color="green">527</FONT>            {-0.278592, -0.005008}, {-0.337655,  0.056658}, {-0.385899,  0.112526},<a name="line.527"></a>
-<FONT color="green">528</FONT>            {-0.405517,  0.186957}, {-0.415374,  0.262071}, {-0.387482,  0.343398},<a name="line.528"></a>
-<FONT color="green">529</FONT>            {-0.347322,  0.397943}, {-0.287623,  0.458425}, {-0.223502,  0.475513},<a name="line.529"></a>
-<FONT color="green">530</FONT>            {-0.135352,  0.478186}, {-0.061221,  0.483371}, { 0.003711,  0.422737},<a name="line.530"></a>
-<FONT color="green">531</FONT>            { 0.065054,  0.375830}, { 0.108108,  0.297099}, { 0.123882,  0.222850},<a name="line.531"></a>
-<FONT color="green">532</FONT>            { 0.117729,  0.134382}, { 0.085195,  0.056820}, { 0.029800, -0.019138},<a name="line.532"></a>
-<FONT color="green">533</FONT>            {-0.027520, -0.072374}, {-0.102268, -0.091555}, {-0.200299, -0.106578},<a name="line.533"></a>
-<FONT color="green">534</FONT>            {-0.292731, -0.091473}, {-0.356288, -0.051108}, {-0.420561,  0.014926},<a name="line.534"></a>
-<FONT color="green">535</FONT>            {-0.471036,  0.074716}, {-0.488638,  0.182508}, {-0.485990,  0.254068},<a name="line.535"></a>

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