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From l..@apache.org
Subject svn commit: r959803 [30/32] - in /websites/production/commons/content/proper/commons-math: jacoco/ jacoco/org.apache.commons.math3.fraction/ jacoco/org.apache.commons.math3.genetics/ jacoco/org.apache.commons.math3.geometry.euclidean.threed/ jacoco/org...
Date Mon, 27 Jul 2015 19:42:10 GMT
Modified: websites/production/commons/content/proper/commons-math/xref-test/org/apache/commons/math3/special/GammaTest.html
==============================================================================
--- websites/production/commons/content/proper/commons-math/xref-test/org/apache/commons/math3/special/GammaTest.html (original)
+++ websites/production/commons/content/proper/commons-math/xref-test/org/apache/commons/math3/special/GammaTest.html Mon Jul 27 19:42:09 2015
@@ -133,847 +133,861 @@
 <a class="jxr_linenumber" name="L125" href="#L125">125</a>     }
 <a class="jxr_linenumber" name="L126" href="#L126">126</a> 
 <a class="jxr_linenumber" name="L127" href="#L127">127</a>     @Test
-<a class="jxr_linenumber" name="L128" href="#L128">128</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">void</strong> testTrigamma() {
-<a class="jxr_linenumber" name="L129" href="#L129">129</a>         <strong class="jxr_keyword">double</strong> eps = 1e-8;
-<a class="jxr_linenumber" name="L130" href="#L130">130</a>         <em class="jxr_comment">// computed using webMathematica.  For example, to compute trigamma($i) = Polygamma(1, $i), use</em>
-<a class="jxr_linenumber" name="L131" href="#L131">131</a>         <em class="jxr_comment">//</em>
-<a class="jxr_linenumber" name="L132" href="#L132">132</a>         <em class="jxr_comment">// http://functions.wolfram.com/webMathematica/Evaluated.jsp?name=PolyGamma2&amp;plottype=0&amp;vars={%221%22,%22$i%22}&amp;digits=20</em>
-<a class="jxr_linenumber" name="L133" href="#L133">133</a>         <strong class="jxr_keyword">double</strong>[] data = {
-<a class="jxr_linenumber" name="L134" href="#L134">134</a>                 1e-4, 1.0000000164469368793e8,
-<a class="jxr_linenumber" name="L135" href="#L135">135</a>                 1e-3, 1.0000016425331958690e6,
-<a class="jxr_linenumber" name="L136" href="#L136">136</a>                 1e-2, 10001.621213528313220,
-<a class="jxr_linenumber" name="L137" href="#L137">137</a>                 1e-1, 101.43329915079275882,
-<a class="jxr_linenumber" name="L138" href="#L138">138</a>                 1, 1.6449340668482264365,
-<a class="jxr_linenumber" name="L139" href="#L139">139</a>                 2, 0.64493406684822643647,
-<a class="jxr_linenumber" name="L140" href="#L140">140</a>                 3, 0.39493406684822643647,
-<a class="jxr_linenumber" name="L141" href="#L141">141</a>                 4, 0.28382295573711532536,
-<a class="jxr_linenumber" name="L142" href="#L142">142</a>                 5, 0.22132295573711532536,
-<a class="jxr_linenumber" name="L143" href="#L143">143</a>                 10, 0.10516633568168574612,
-<a class="jxr_linenumber" name="L144" href="#L144">144</a>                 20, 0.051270822935203119832,
-<a class="jxr_linenumber" name="L145" href="#L145">145</a>                 50, 0.020201333226697125806,
-<a class="jxr_linenumber" name="L146" href="#L146">146</a>                 100, 0.010050166663333571395
-<a class="jxr_linenumber" name="L147" href="#L147">147</a>         };
-<a class="jxr_linenumber" name="L148" href="#L148">148</a>         <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = data.length - 2; i &gt;= 0; i -= 2) {
-<a class="jxr_linenumber" name="L149" href="#L149">149</a>             Assert.assertEquals(String.format(<span class="jxr_string">"trigamma %.0f"</span>, data[i]), data[i + 1], Gamma.trigamma(data[i]), eps);
-<a class="jxr_linenumber" name="L150" href="#L150">150</a>         }
-<a class="jxr_linenumber" name="L151" href="#L151">151</a>     }
-<a class="jxr_linenumber" name="L152" href="#L152">152</a> 
-<a class="jxr_linenumber" name="L153" href="#L153">153</a>     <em class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L154" href="#L154">154</a> <em class="jxr_javadoccomment">     * Reference data for the {@link Gamma#logGamma(double)} function. This data</em>
-<a class="jxr_linenumber" name="L155" href="#L155">155</a> <em class="jxr_javadoccomment">     * was generated with the following &lt;a</em>
-<a class="jxr_linenumber" name="L156" href="#L156">156</a> <em class="jxr_javadoccomment">     * href="<a href="http://maxima.sourceforge.net/" target="alexandria_uri">http://maxima.sourceforge.net/</a>"&gt;Maxima&lt;/a&gt; script.</em>
-<a class="jxr_linenumber" name="L157" href="#L157">157</a> <em class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L158" href="#L158">158</a> <em class="jxr_javadoccomment">     * &lt;pre&gt;</em>
-<a class="jxr_linenumber" name="L159" href="#L159">159</a> <em class="jxr_javadoccomment">     * kill(all);</em>
-<a class="jxr_linenumber" name="L160" href="#L160">160</a> <em class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L161" href="#L161">161</a> <em class="jxr_javadoccomment">     * fpprec : 64;</em>
-<a class="jxr_linenumber" name="L162" href="#L162">162</a> <em class="jxr_javadoccomment">     * gamln(x) := log(gamma(x));</em>
-<a class="jxr_linenumber" name="L163" href="#L163">163</a> <em class="jxr_javadoccomment">     * x : append(makelist(bfloat(i / 8), i, 1, 80),</em>
-<a class="jxr_linenumber" name="L164" href="#L164">164</a> <em class="jxr_javadoccomment">     *     [0.8b0, 1b2, 1b3, 1b4, 1b5, 1b6, 1b7, 1b8, 1b9, 1b10]);</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> <em class="jxr_javadoccomment">     * for i : 1 while i &lt;= length(x) do</em>
-<a class="jxr_linenumber" name="L167" href="#L167">167</a> <em class="jxr_javadoccomment">     *     print("{", float(x[i]), ",", float(gamln(x[i])), "},");</em>
-<a class="jxr_linenumber" name="L168" href="#L168">168</a> <em class="jxr_javadoccomment">     * &lt;/pre&gt;</em>
-<a class="jxr_linenumber" name="L169" href="#L169">169</a> <em class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L170" href="#L170">170</a>     <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong>[][] LOG_GAMMA_REF = {
-<a class="jxr_linenumber" name="L171" href="#L171">171</a>         { 0.125 , 2.019418357553796 },
-<a class="jxr_linenumber" name="L172" href="#L172">172</a>         { 0.25 , 1.288022524698077 },
-<a class="jxr_linenumber" name="L173" href="#L173">173</a>         { 0.375 , .8630739822706475 },
-<a class="jxr_linenumber" name="L174" href="#L174">174</a>         { 0.5 , .5723649429247001 },
-<a class="jxr_linenumber" name="L175" href="#L175">175</a>         { 0.625 , .3608294954889402 },
-<a class="jxr_linenumber" name="L176" href="#L176">176</a>         { 0.75 , .2032809514312954 },
-<a class="jxr_linenumber" name="L177" href="#L177">177</a>         { 0.875 , .08585870722533433 },
-<a class="jxr_linenumber" name="L178" href="#L178">178</a>         { 0.890625 , .07353860936979656 },
-<a class="jxr_linenumber" name="L179" href="#L179">179</a>         { 0.90625 , .06169536624059108 },
-<a class="jxr_linenumber" name="L180" href="#L180">180</a>         { 0.921875 , .05031670080005688 },
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-<a class="jxr_linenumber" name="L291" href="#L291">291</a>         { 9.875 , 12.52118363918365 },
-<a class="jxr_linenumber" name="L292" href="#L292">292</a>         { 10.0 , 12.80182748008147 },
-<a class="jxr_linenumber" name="L293" href="#L293">293</a>         { 0.8 , .1520596783998376 },
-<a class="jxr_linenumber" name="L294" href="#L294">294</a>         { 100.0 , 359.1342053695754 },
-<a class="jxr_linenumber" name="L295" href="#L295">295</a>         { 1000.0 , 5905.220423209181 },
-<a class="jxr_linenumber" name="L296" href="#L296">296</a>         { 10000.0 , 82099.71749644238 },
-<a class="jxr_linenumber" name="L297" href="#L297">297</a>         { 100000.0 , 1051287.708973657 },
-<a class="jxr_linenumber" name="L298" href="#L298">298</a>         { 1000000.0 , 1.2815504569147612e+7 },
-<a class="jxr_linenumber" name="L299" href="#L299">299</a>         { 10000000.0 , 1.511809493694739e+8 },
-<a class="jxr_linenumber" name="L300" href="#L300">300</a>         { 1.e+8 , 1.7420680661038346e+9 },
-<a class="jxr_linenumber" name="L301" href="#L301">301</a>         { 1.e+9 , 1.972326582750371e+10 },
-<a class="jxr_linenumber" name="L302" href="#L302">302</a>         { 1.e+10 , 2.202585092888106e+11 },
-<a class="jxr_linenumber" name="L303" href="#L303">303</a>     };
-<a class="jxr_linenumber" name="L304" href="#L304">304</a> 
-<a class="jxr_linenumber" name="L305" href="#L305">305</a>     @Test
-<a class="jxr_linenumber" name="L306" href="#L306">306</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">void</strong> testLogGamma() {
-<a class="jxr_linenumber" name="L307" href="#L307">307</a>         <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">int</strong> ulps = 3;
-<a class="jxr_linenumber" name="L308" href="#L308">308</a>         <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i &lt; LOG_GAMMA_REF.length; i++) {
-<a class="jxr_linenumber" name="L309" href="#L309">309</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong>[] data = LOG_GAMMA_REF[i];
-<a class="jxr_linenumber" name="L310" href="#L310">310</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> x = data[0];
-<a class="jxr_linenumber" name="L311" href="#L311">311</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> expected = data[1];
-<a class="jxr_linenumber" name="L312" href="#L312">312</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> actual = Gamma.logGamma(x);
-<a class="jxr_linenumber" name="L313" href="#L313">313</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> tol;
-<a class="jxr_linenumber" name="L314" href="#L314">314</a>             <strong class="jxr_keyword">if</strong> (expected == 0.0) {
-<a class="jxr_linenumber" name="L315" href="#L315">315</a>                 tol = 1E-15;
-<a class="jxr_linenumber" name="L316" href="#L316">316</a>             } <strong class="jxr_keyword">else</strong> {
-<a class="jxr_linenumber" name="L317" href="#L317">317</a>                 tol = ulps * FastMath.ulp(expected);
-<a class="jxr_linenumber" name="L318" href="#L318">318</a>             }
-<a class="jxr_linenumber" name="L319" href="#L319">319</a>             Assert.assertEquals(Double.toString(x), expected, actual, tol);
-<a class="jxr_linenumber" name="L320" href="#L320">320</a>         }
-<a class="jxr_linenumber" name="L321" href="#L321">321</a>     }
-<a class="jxr_linenumber" name="L322" href="#L322">322</a> 
-<a class="jxr_linenumber" name="L323" href="#L323">323</a>     @Test
-<a class="jxr_linenumber" name="L324" href="#L324">324</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">void</strong> testLogGammaPrecondition1() {
-<a class="jxr_linenumber" name="L325" href="#L325">325</a>         Assert.assertTrue(Double.isNaN(Gamma.logGamma(0.0)));
-<a class="jxr_linenumber" name="L326" href="#L326">326</a>     }
-<a class="jxr_linenumber" name="L327" href="#L327">327</a> 
-<a class="jxr_linenumber" name="L328" href="#L328">328</a>     @Test
-<a class="jxr_linenumber" name="L329" href="#L329">329</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">void</strong> testLogGammaPrecondition2() {
-<a class="jxr_linenumber" name="L330" href="#L330">330</a>         Assert.assertTrue(Double.isNaN(Gamma.logGamma(-1.0)));
-<a class="jxr_linenumber" name="L331" href="#L331">331</a>     }
-<a class="jxr_linenumber" name="L332" href="#L332">332</a> 
-<a class="jxr_linenumber" name="L333" href="#L333">333</a>     <em class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L334" href="#L334">334</a> <em class="jxr_javadoccomment">     * &lt;p&gt;</em>
-<a class="jxr_linenumber" name="L335" href="#L335">335</a> <em class="jxr_javadoccomment">     * Reference values for the {@link Gamma#invGamma1pm1(double)} method.</em>
-<a class="jxr_linenumber" name="L336" href="#L336">336</a> <em class="jxr_javadoccomment">     * These values were generated with the following &lt;a</em>
-<a class="jxr_linenumber" name="L337" href="#L337">337</a> <em class="jxr_javadoccomment">     * href="<a href="http://maxima.sourceforge.net/" target="alexandria_uri">http://maxima.sourceforge.net/</a>"&gt;Maxima&lt;/a&gt; script</em>
-<a class="jxr_linenumber" name="L338" href="#L338">338</a> <em class="jxr_javadoccomment">     * &lt;/p&gt;</em>
-<a class="jxr_linenumber" name="L339" href="#L339">339</a> <em class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L340" href="#L340">340</a> <em class="jxr_javadoccomment">     * &lt;pre&gt;</em>
-<a class="jxr_linenumber" name="L341" href="#L341">341</a> <em class="jxr_javadoccomment">     * kill(all);</em>
-<a class="jxr_linenumber" name="L342" href="#L342">342</a> <em class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L343" href="#L343">343</a> <em class="jxr_javadoccomment">     * fpprec : 64;</em>
-<a class="jxr_linenumber" name="L344" href="#L344">344</a> <em class="jxr_javadoccomment">     * gam1(x) := 1 / gamma(1 + x) - 1;</em>
-<a class="jxr_linenumber" name="L345" href="#L345">345</a> <em class="jxr_javadoccomment">     * x : makelist(bfloat(i / 8), i, -4, 12);</em>
-<a class="jxr_linenumber" name="L346" href="#L346">346</a> <em class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L347" href="#L347">347</a> <em class="jxr_javadoccomment">     * for i : 1 while i &lt;= length(x) do print("{",</em>
-<a class="jxr_linenumber" name="L348" href="#L348">348</a> <em class="jxr_javadoccomment">     *                                         float(x[i]),</em>
-<a class="jxr_linenumber" name="L349" href="#L349">349</a> <em class="jxr_javadoccomment">     *                                         ",",</em>
-<a class="jxr_linenumber" name="L350" href="#L350">350</a> <em class="jxr_javadoccomment">     *                                         float(gam1(x[i])),</em>
-<a class="jxr_linenumber" name="L351" href="#L351">351</a> <em class="jxr_javadoccomment">     *                                         "},");</em>
-<a class="jxr_linenumber" name="L352" href="#L352">352</a> <em class="jxr_javadoccomment">     * &lt;/pre&gt;</em>
-<a class="jxr_linenumber" name="L353" href="#L353">353</a> <em class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L354" href="#L354">354</a>     <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong>[][] INV_GAMMA1P_M1_REF = {
-<a class="jxr_linenumber" name="L355" href="#L355">355</a>         { -0.5 , -.4358104164522437 },
-<a class="jxr_linenumber" name="L356" href="#L356">356</a>         { -0.375 , -.3029021533379859 },
-<a class="jxr_linenumber" name="L357" href="#L357">357</a>         { -0.25 , -0.183951060901737 },
-<a class="jxr_linenumber" name="L358" href="#L358">358</a>         { -0.125 , -.08227611018520711 },
-<a class="jxr_linenumber" name="L359" href="#L359">359</a>         { 0.0 , 0.0 },
-<a class="jxr_linenumber" name="L360" href="#L360">360</a>         { 0.125 , .06186116458306091 },
-<a class="jxr_linenumber" name="L361" href="#L361">361</a>         { 0.25 , .1032626513208373 },
-<a class="jxr_linenumber" name="L362" href="#L362">362</a>         { 0.375 , .1249687649039041 },
-<a class="jxr_linenumber" name="L363" href="#L363">363</a>         { 0.5 , .1283791670955126 },
-<a class="jxr_linenumber" name="L364" href="#L364">364</a>         { 0.625 , .1153565546592225 },
-<a class="jxr_linenumber" name="L365" href="#L365">365</a>         { 0.75 , 0.0880652521310173 },
-<a class="jxr_linenumber" name="L366" href="#L366">366</a>         { 0.875 , .04882730264547758 },
-<a class="jxr_linenumber" name="L367" href="#L367">367</a>         { 1.0 , 0.0 },
-<a class="jxr_linenumber" name="L368" href="#L368">368</a>         { 1.125 , -.05612340925950141 },
-<a class="jxr_linenumber" name="L369" href="#L369">369</a>         { 1.25 , -.1173898789433302 },
-<a class="jxr_linenumber" name="L370" href="#L370">370</a>         { 1.375 , -.1818408982517061 },
-<a class="jxr_linenumber" name="L371" href="#L371">371</a>         { 1.5 , -0.247747221936325 },
-<a class="jxr_linenumber" name="L372" href="#L372">372</a>     };
-<a class="jxr_linenumber" name="L373" href="#L373">373</a> 
-<a class="jxr_linenumber" name="L374" href="#L374">374</a>     @Test
-<a class="jxr_linenumber" name="L375" href="#L375">375</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">void</strong> testInvGamma1pm1() {
-<a class="jxr_linenumber" name="L376" href="#L376">376</a> 
-<a class="jxr_linenumber" name="L377" href="#L377">377</a>         <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">int</strong> ulps = 3;
-<a class="jxr_linenumber" name="L378" href="#L378">378</a>         <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i &lt; INV_GAMMA1P_M1_REF.length; i++) {
-<a class="jxr_linenumber" name="L379" href="#L379">379</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong>[] ref = INV_GAMMA1P_M1_REF[i];
-<a class="jxr_linenumber" name="L380" href="#L380">380</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> x = ref[0];
-<a class="jxr_linenumber" name="L381" href="#L381">381</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> expected = ref[1];
-<a class="jxr_linenumber" name="L382" href="#L382">382</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> actual = Gamma.invGamma1pm1(x);
-<a class="jxr_linenumber" name="L383" href="#L383">383</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> tol = ulps * FastMath.ulp(expected);
-<a class="jxr_linenumber" name="L384" href="#L384">384</a>             Assert.assertEquals(Double.toString(x), expected, actual, tol);
-<a class="jxr_linenumber" name="L385" href="#L385">385</a>         }
-<a class="jxr_linenumber" name="L386" href="#L386">386</a>     }
+<a class="jxr_linenumber" name="L128" href="#L128">128</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">void</strong> testDigammaNonRealArgs() {
+<a class="jxr_linenumber" name="L129" href="#L129">129</a>         Assert.assertTrue(Double.isNaN(Gamma.digamma(Double.NaN)));
+<a class="jxr_linenumber" name="L130" href="#L130">130</a>         Assert.assertTrue(Double.isInfinite(Gamma.digamma(Double.POSITIVE_INFINITY)));
+<a class="jxr_linenumber" name="L131" href="#L131">131</a>         Assert.assertTrue(Double.isInfinite(Gamma.digamma(Double.NEGATIVE_INFINITY)));
+<a class="jxr_linenumber" name="L132" href="#L132">132</a>     }
+<a class="jxr_linenumber" name="L133" href="#L133">133</a> 
+<a class="jxr_linenumber" name="L134" href="#L134">134</a>     @Test
+<a class="jxr_linenumber" name="L135" href="#L135">135</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">void</strong> testTrigamma() {
+<a class="jxr_linenumber" name="L136" href="#L136">136</a>         <strong class="jxr_keyword">double</strong> eps = 1e-8;
+<a class="jxr_linenumber" name="L137" href="#L137">137</a>         <em class="jxr_comment">// computed using webMathematica.  For example, to compute trigamma($i) = Polygamma(1, $i), use</em>
+<a class="jxr_linenumber" name="L138" href="#L138">138</a>         <em class="jxr_comment">//</em>
+<a class="jxr_linenumber" name="L139" href="#L139">139</a>         <em class="jxr_comment">// http://functions.wolfram.com/webMathematica/Evaluated.jsp?name=PolyGamma2&amp;plottype=0&amp;vars={%221%22,%22$i%22}&amp;digits=20</em>
+<a class="jxr_linenumber" name="L140" href="#L140">140</a>         <strong class="jxr_keyword">double</strong>[] data = {
+<a class="jxr_linenumber" name="L141" href="#L141">141</a>                 1e-4, 1.0000000164469368793e8,
+<a class="jxr_linenumber" name="L142" href="#L142">142</a>                 1e-3, 1.0000016425331958690e6,
+<a class="jxr_linenumber" name="L143" href="#L143">143</a>                 1e-2, 10001.621213528313220,
+<a class="jxr_linenumber" name="L144" href="#L144">144</a>                 1e-1, 101.43329915079275882,
+<a class="jxr_linenumber" name="L145" href="#L145">145</a>                 1, 1.6449340668482264365,
+<a class="jxr_linenumber" name="L146" href="#L146">146</a>                 2, 0.64493406684822643647,
+<a class="jxr_linenumber" name="L147" href="#L147">147</a>                 3, 0.39493406684822643647,
+<a class="jxr_linenumber" name="L148" href="#L148">148</a>                 4, 0.28382295573711532536,
+<a class="jxr_linenumber" name="L149" href="#L149">149</a>                 5, 0.22132295573711532536,
+<a class="jxr_linenumber" name="L150" href="#L150">150</a>                 10, 0.10516633568168574612,
+<a class="jxr_linenumber" name="L151" href="#L151">151</a>                 20, 0.051270822935203119832,
+<a class="jxr_linenumber" name="L152" href="#L152">152</a>                 50, 0.020201333226697125806,
+<a class="jxr_linenumber" name="L153" href="#L153">153</a>                 100, 0.010050166663333571395
+<a class="jxr_linenumber" name="L154" href="#L154">154</a>         };
+<a class="jxr_linenumber" name="L155" href="#L155">155</a>         <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = data.length - 2; i &gt;= 0; i -= 2) {
+<a class="jxr_linenumber" name="L156" href="#L156">156</a>             Assert.assertEquals(String.format(<span class="jxr_string">"trigamma %.0f"</span>, data[i]), data[i + 1], Gamma.trigamma(data[i]), eps);
+<a class="jxr_linenumber" name="L157" href="#L157">157</a>         }
+<a class="jxr_linenumber" name="L158" href="#L158">158</a>     }
+<a class="jxr_linenumber" name="L159" href="#L159">159</a> 
+<a class="jxr_linenumber" name="L160" href="#L160">160</a>     @Test
+<a class="jxr_linenumber" name="L161" href="#L161">161</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">void</strong> testTrigammaNonRealArgs() {
+<a class="jxr_linenumber" name="L162" href="#L162">162</a>         Assert.assertTrue(Double.isNaN(Gamma.trigamma(Double.NaN)));
+<a class="jxr_linenumber" name="L163" href="#L163">163</a>         Assert.assertTrue(Double.isInfinite(Gamma.trigamma(Double.POSITIVE_INFINITY)));
+<a class="jxr_linenumber" name="L164" href="#L164">164</a>         Assert.assertTrue(Double.isInfinite(Gamma.trigamma(Double.NEGATIVE_INFINITY)));
+<a class="jxr_linenumber" name="L165" href="#L165">165</a>     }
+<a class="jxr_linenumber" name="L166" href="#L166">166</a> 
+<a class="jxr_linenumber" name="L167" href="#L167">167</a>     <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L168" href="#L168">168</a> <em class="jxr_javadoccomment">     * Reference data for the {@link Gamma#logGamma(double)} function. This data</em>
+<a class="jxr_linenumber" name="L169" href="#L169">169</a> <em class="jxr_javadoccomment">     * was generated with the following &lt;a</em>
+<a class="jxr_linenumber" name="L170" href="#L170">170</a> <em class="jxr_javadoccomment">     * href="<a href="http://maxima.sourceforge.net/" target="alexandria_uri">http://maxima.sourceforge.net/</a>"&gt;Maxima&lt;/a&gt; script.</em>
+<a class="jxr_linenumber" name="L171" href="#L171">171</a> <em class="jxr_javadoccomment">     *</em>
+<a class="jxr_linenumber" name="L172" href="#L172">172</a> <em class="jxr_javadoccomment">     * &lt;pre&gt;</em>
+<a class="jxr_linenumber" name="L173" href="#L173">173</a> <em class="jxr_javadoccomment">     * kill(all);</em>
+<a class="jxr_linenumber" name="L174" href="#L174">174</a> <em class="jxr_javadoccomment">     *</em>
+<a class="jxr_linenumber" name="L175" href="#L175">175</a> <em class="jxr_javadoccomment">     * fpprec : 64;</em>
+<a class="jxr_linenumber" name="L176" href="#L176">176</a> <em class="jxr_javadoccomment">     * gamln(x) := log(gamma(x));</em>
+<a class="jxr_linenumber" name="L177" href="#L177">177</a> <em class="jxr_javadoccomment">     * x : append(makelist(bfloat(i / 8), i, 1, 80),</em>
+<a class="jxr_linenumber" name="L178" href="#L178">178</a> <em class="jxr_javadoccomment">     *     [0.8b0, 1b2, 1b3, 1b4, 1b5, 1b6, 1b7, 1b8, 1b9, 1b10]);</em>
+<a class="jxr_linenumber" name="L179" href="#L179">179</a> <em class="jxr_javadoccomment">     *</em>
+<a class="jxr_linenumber" name="L180" href="#L180">180</a> <em class="jxr_javadoccomment">     * for i : 1 while i &lt;= length(x) do</em>
+<a class="jxr_linenumber" name="L181" href="#L181">181</a> <em class="jxr_javadoccomment">     *     print("{", float(x[i]), ",", float(gamln(x[i])), "},");</em>
+<a class="jxr_linenumber" name="L182" href="#L182">182</a> <em class="jxr_javadoccomment">     * &lt;/pre&gt;</em>
+<a class="jxr_linenumber" name="L183" href="#L183">183</a> <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L184" href="#L184">184</a>     <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong>[][] LOG_GAMMA_REF = {
+<a class="jxr_linenumber" name="L185" href="#L185">185</a>         { 0.125 , 2.019418357553796 },
+<a class="jxr_linenumber" name="L186" href="#L186">186</a>         { 0.25 , 1.288022524698077 },
+<a class="jxr_linenumber" name="L187" href="#L187">187</a>         { 0.375 , .8630739822706475 },
+<a class="jxr_linenumber" name="L188" href="#L188">188</a>         { 0.5 , .5723649429247001 },
+<a class="jxr_linenumber" name="L189" href="#L189">189</a>         { 0.625 , .3608294954889402 },
+<a class="jxr_linenumber" name="L190" href="#L190">190</a>         { 0.75 , .2032809514312954 },
+<a class="jxr_linenumber" name="L191" href="#L191">191</a>         { 0.875 , .08585870722533433 },
+<a class="jxr_linenumber" name="L192" href="#L192">192</a>         { 0.890625 , .07353860936979656 },
+<a class="jxr_linenumber" name="L193" href="#L193">193</a>         { 0.90625 , .06169536624059108 },
+<a class="jxr_linenumber" name="L194" href="#L194">194</a>         { 0.921875 , .05031670080005688 },
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+<a class="jxr_linenumber" name="L245" href="#L245">245</a>         { 3.03125 , .7221762507608962 },
+<a class="jxr_linenumber" name="L246" href="#L246">246</a>         { 3.046875 , .7368339619260166 },
+<a class="jxr_linenumber" name="L247" href="#L247">247</a>         { 3.0625 , 0.751586360749556 },
+<a class="jxr_linenumber" name="L248" href="#L248">248</a>         { 3.078125 , .7664328833756681 },
+<a class="jxr_linenumber" name="L249" href="#L249">249</a>         { 3.09375 , .7813729725537568 },
+<a class="jxr_linenumber" name="L250" href="#L250">250</a>         { 3.109375 , .7964060775242092 },
+<a class="jxr_linenumber" name="L251" href="#L251">251</a>         { 3.125 , 0.811531653906724 },
+<a class="jxr_linenumber" name="L252" href="#L252">252</a>         { 3.25 , .9358019311087253 },
+<a class="jxr_linenumber" name="L253" href="#L253">253</a>         { 3.375 , 1.06569589786406 },
+<a class="jxr_linenumber" name="L254" href="#L254">254</a>         { 3.5 , 1.200973602347074 },
+<a class="jxr_linenumber" name="L255" href="#L255">255</a>         { 3.625 , 1.341414578068493 },
+<a class="jxr_linenumber" name="L256" href="#L256">256</a>         { 3.75 , 1.486815578593417 },
+<a class="jxr_linenumber" name="L257" href="#L257">257</a>         { 3.875 , 1.6369886482725 },
+<a class="jxr_linenumber" name="L258" href="#L258">258</a>         { 4.0 , 1.791759469228055 },
+<a class="jxr_linenumber" name="L259" href="#L259">259</a>         { 4.125 , 1.950965937095089 },
+<a class="jxr_linenumber" name="L260" href="#L260">260</a>         { 4.25 , 2.114456927450371 },
+<a class="jxr_linenumber" name="L261" href="#L261">261</a>         { 4.375 , 2.282091222188554 },
+<a class="jxr_linenumber" name="L262" href="#L262">262</a>         { 4.5 , 2.453736570842442 },
+<a class="jxr_linenumber" name="L263" href="#L263">263</a>         { 4.625 , 2.62926886637513 },
+<a class="jxr_linenumber" name="L264" href="#L264">264</a>         { 4.75 , 2.808571418575736 },
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+<a class="jxr_linenumber" name="L271" href="#L271">271</a>         { 5.625 , 4.160745237339519 },
+<a class="jxr_linenumber" name="L272" href="#L272">272</a>         { 5.75 , 4.366716036622286 },
+<a class="jxr_linenumber" name="L273" href="#L273">273</a>         { 5.875 , 4.57565441552762 },
+<a class="jxr_linenumber" name="L274" href="#L274">274</a>         { 6.0 , 4.787491742782046 },
+<a class="jxr_linenumber" name="L275" href="#L275">275</a>         { 6.125 , 5.002162481906205 },
+<a class="jxr_linenumber" name="L276" href="#L276">276</a>         { 6.25 , 5.219603986990229 },
+<a class="jxr_linenumber" name="L277" href="#L277">277</a>         { 6.375 , 5.439756316011858 },
+<a class="jxr_linenumber" name="L278" href="#L278">278</a>         { 6.5 , 5.662562059857142 },
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+<a class="jxr_linenumber" name="L294" href="#L294">294</a>         { 8.5 , 9.549267257300997 },
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+<a class="jxr_linenumber" name="L296" href="#L296">296</a>         { 8.75 , 10.07315123968124 },
+<a class="jxr_linenumber" name="L297" href="#L297">297</a>         { 8.875 , 10.33794530382217 },
+<a class="jxr_linenumber" name="L298" href="#L298">298</a>         { 9.0 , 10.60460290274525 },
+<a class="jxr_linenumber" name="L299" href="#L299">299</a>         { 9.125 , 10.87309669270751 },
+<a class="jxr_linenumber" name="L300" href="#L300">300</a>         { 9.25 , 11.14340011995171 },
+<a class="jxr_linenumber" name="L301" href="#L301">301</a>         { 9.375 , 11.41548738699336 },
+<a class="jxr_linenumber" name="L302" href="#L302">302</a>         { 9.5 , 11.68933342079727 },
+<a class="jxr_linenumber" name="L303" href="#L303">303</a>         { 9.625 , 11.96491384271319 },
+<a class="jxr_linenumber" name="L304" href="#L304">304</a>         { 9.75 , 12.24220494005076 },
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+<a class="jxr_linenumber" name="L306" href="#L306">306</a>         { 10.0 , 12.80182748008147 },
+<a class="jxr_linenumber" name="L307" href="#L307">307</a>         { 0.8 , .1520596783998376 },
+<a class="jxr_linenumber" name="L308" href="#L308">308</a>         { 100.0 , 359.1342053695754 },
+<a class="jxr_linenumber" name="L309" href="#L309">309</a>         { 1000.0 , 5905.220423209181 },
+<a class="jxr_linenumber" name="L310" href="#L310">310</a>         { 10000.0 , 82099.71749644238 },
+<a class="jxr_linenumber" name="L311" href="#L311">311</a>         { 100000.0 , 1051287.708973657 },
+<a class="jxr_linenumber" name="L312" href="#L312">312</a>         { 1000000.0 , 1.2815504569147612e+7 },
+<a class="jxr_linenumber" name="L313" href="#L313">313</a>         { 10000000.0 , 1.511809493694739e+8 },
+<a class="jxr_linenumber" name="L314" href="#L314">314</a>         { 1.e+8 , 1.7420680661038346e+9 },
+<a class="jxr_linenumber" name="L315" href="#L315">315</a>         { 1.e+9 , 1.972326582750371e+10 },
+<a class="jxr_linenumber" name="L316" href="#L316">316</a>         { 1.e+10 , 2.202585092888106e+11 },
+<a class="jxr_linenumber" name="L317" href="#L317">317</a>     };
+<a class="jxr_linenumber" name="L318" href="#L318">318</a> 
+<a class="jxr_linenumber" name="L319" href="#L319">319</a>     @Test
+<a class="jxr_linenumber" name="L320" href="#L320">320</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">void</strong> testLogGamma() {
+<a class="jxr_linenumber" name="L321" href="#L321">321</a>         <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">int</strong> ulps = 3;
+<a class="jxr_linenumber" name="L322" href="#L322">322</a>         <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i &lt; LOG_GAMMA_REF.length; i++) {
+<a class="jxr_linenumber" name="L323" href="#L323">323</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong>[] data = LOG_GAMMA_REF[i];
+<a class="jxr_linenumber" name="L324" href="#L324">324</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> x = data[0];
+<a class="jxr_linenumber" name="L325" href="#L325">325</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> expected = data[1];
+<a class="jxr_linenumber" name="L326" href="#L326">326</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> actual = Gamma.logGamma(x);
+<a class="jxr_linenumber" name="L327" href="#L327">327</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> tol;
+<a class="jxr_linenumber" name="L328" href="#L328">328</a>             <strong class="jxr_keyword">if</strong> (expected == 0.0) {
+<a class="jxr_linenumber" name="L329" href="#L329">329</a>                 tol = 1E-15;
+<a class="jxr_linenumber" name="L330" href="#L330">330</a>             } <strong class="jxr_keyword">else</strong> {
+<a class="jxr_linenumber" name="L331" href="#L331">331</a>                 tol = ulps * FastMath.ulp(expected);
+<a class="jxr_linenumber" name="L332" href="#L332">332</a>             }
+<a class="jxr_linenumber" name="L333" href="#L333">333</a>             Assert.assertEquals(Double.toString(x), expected, actual, tol);
+<a class="jxr_linenumber" name="L334" href="#L334">334</a>         }
+<a class="jxr_linenumber" name="L335" href="#L335">335</a>     }
+<a class="jxr_linenumber" name="L336" href="#L336">336</a> 
+<a class="jxr_linenumber" name="L337" href="#L337">337</a>     @Test
+<a class="jxr_linenumber" name="L338" href="#L338">338</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">void</strong> testLogGammaPrecondition1() {
+<a class="jxr_linenumber" name="L339" href="#L339">339</a>         Assert.assertTrue(Double.isNaN(Gamma.logGamma(0.0)));
+<a class="jxr_linenumber" name="L340" href="#L340">340</a>     }
+<a class="jxr_linenumber" name="L341" href="#L341">341</a> 
+<a class="jxr_linenumber" name="L342" href="#L342">342</a>     @Test
+<a class="jxr_linenumber" name="L343" href="#L343">343</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">void</strong> testLogGammaPrecondition2() {
+<a class="jxr_linenumber" name="L344" href="#L344">344</a>         Assert.assertTrue(Double.isNaN(Gamma.logGamma(-1.0)));
+<a class="jxr_linenumber" name="L345" href="#L345">345</a>     }
+<a class="jxr_linenumber" name="L346" href="#L346">346</a> 
+<a class="jxr_linenumber" name="L347" href="#L347">347</a>     <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L348" href="#L348">348</a> <em class="jxr_javadoccomment">     * &lt;p&gt;</em>
+<a class="jxr_linenumber" name="L349" href="#L349">349</a> <em class="jxr_javadoccomment">     * Reference values for the {@link Gamma#invGamma1pm1(double)} method.</em>
+<a class="jxr_linenumber" name="L350" href="#L350">350</a> <em class="jxr_javadoccomment">     * These values were generated with the following &lt;a</em>
+<a class="jxr_linenumber" name="L351" href="#L351">351</a> <em class="jxr_javadoccomment">     * href="<a href="http://maxima.sourceforge.net/" target="alexandria_uri">http://maxima.sourceforge.net/</a>"&gt;Maxima&lt;/a&gt; script</em>
+<a class="jxr_linenumber" name="L352" href="#L352">352</a> <em class="jxr_javadoccomment">     * &lt;/p&gt;</em>
+<a class="jxr_linenumber" name="L353" href="#L353">353</a> <em class="jxr_javadoccomment">     *</em>
+<a class="jxr_linenumber" name="L354" href="#L354">354</a> <em class="jxr_javadoccomment">     * &lt;pre&gt;</em>
+<a class="jxr_linenumber" name="L355" href="#L355">355</a> <em class="jxr_javadoccomment">     * kill(all);</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">     * fpprec : 64;</em>
+<a class="jxr_linenumber" name="L358" href="#L358">358</a> <em class="jxr_javadoccomment">     * gam1(x) := 1 / gamma(1 + x) - 1;</em>
+<a class="jxr_linenumber" name="L359" href="#L359">359</a> <em class="jxr_javadoccomment">     * x : makelist(bfloat(i / 8), i, -4, 12);</em>
+<a class="jxr_linenumber" name="L360" href="#L360">360</a> <em class="jxr_javadoccomment">     *</em>
+<a class="jxr_linenumber" name="L361" href="#L361">361</a> <em class="jxr_javadoccomment">     * for i : 1 while i &lt;= length(x) do print("{",</em>
+<a class="jxr_linenumber" name="L362" href="#L362">362</a> <em class="jxr_javadoccomment">     *                                         float(x[i]),</em>
+<a class="jxr_linenumber" name="L363" href="#L363">363</a> <em class="jxr_javadoccomment">     *                                         ",",</em>
+<a class="jxr_linenumber" name="L364" href="#L364">364</a> <em class="jxr_javadoccomment">     *                                         float(gam1(x[i])),</em>
+<a class="jxr_linenumber" name="L365" href="#L365">365</a> <em class="jxr_javadoccomment">     *                                         "},");</em>
+<a class="jxr_linenumber" name="L366" href="#L366">366</a> <em class="jxr_javadoccomment">     * &lt;/pre&gt;</em>
+<a class="jxr_linenumber" name="L367" href="#L367">367</a> <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L368" href="#L368">368</a>     <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong>[][] INV_GAMMA1P_M1_REF = {
+<a class="jxr_linenumber" name="L369" href="#L369">369</a>         { -0.5 , -.4358104164522437 },
+<a class="jxr_linenumber" name="L370" href="#L370">370</a>         { -0.375 , -.3029021533379859 },
+<a class="jxr_linenumber" name="L371" href="#L371">371</a>         { -0.25 , -0.183951060901737 },
+<a class="jxr_linenumber" name="L372" href="#L372">372</a>         { -0.125 , -.08227611018520711 },
+<a class="jxr_linenumber" name="L373" href="#L373">373</a>         { 0.0 , 0.0 },
+<a class="jxr_linenumber" name="L374" href="#L374">374</a>         { 0.125 , .06186116458306091 },
+<a class="jxr_linenumber" name="L375" href="#L375">375</a>         { 0.25 , .1032626513208373 },
+<a class="jxr_linenumber" name="L376" href="#L376">376</a>         { 0.375 , .1249687649039041 },
+<a class="jxr_linenumber" name="L377" href="#L377">377</a>         { 0.5 , .1283791670955126 },
+<a class="jxr_linenumber" name="L378" href="#L378">378</a>         { 0.625 , .1153565546592225 },
+<a class="jxr_linenumber" name="L379" href="#L379">379</a>         { 0.75 , 0.0880652521310173 },
+<a class="jxr_linenumber" name="L380" href="#L380">380</a>         { 0.875 , .04882730264547758 },
+<a class="jxr_linenumber" name="L381" href="#L381">381</a>         { 1.0 , 0.0 },
+<a class="jxr_linenumber" name="L382" href="#L382">382</a>         { 1.125 , -.05612340925950141 },
+<a class="jxr_linenumber" name="L383" href="#L383">383</a>         { 1.25 , -.1173898789433302 },
+<a class="jxr_linenumber" name="L384" href="#L384">384</a>         { 1.375 , -.1818408982517061 },
+<a class="jxr_linenumber" name="L385" href="#L385">385</a>         { 1.5 , -0.247747221936325 },
+<a class="jxr_linenumber" name="L386" href="#L386">386</a>     };
 <a class="jxr_linenumber" name="L387" href="#L387">387</a> 
-<a class="jxr_linenumber" name="L388" href="#L388">388</a>     @Test(expected = NumberIsTooSmallException.<strong class="jxr_keyword">class</strong>)
-<a class="jxr_linenumber" name="L389" href="#L389">389</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">void</strong> testInvGamma1pm1Precondition1() {
+<a class="jxr_linenumber" name="L388" href="#L388">388</a>     @Test
+<a class="jxr_linenumber" name="L389" href="#L389">389</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">void</strong> testInvGamma1pm1() {
 <a class="jxr_linenumber" name="L390" href="#L390">390</a> 
-<a class="jxr_linenumber" name="L391" href="#L391">391</a>         Gamma.invGamma1pm1(-0.51);
-<a class="jxr_linenumber" name="L392" href="#L392">392</a>     }
-<a class="jxr_linenumber" name="L393" href="#L393">393</a> 
-<a class="jxr_linenumber" name="L394" href="#L394">394</a>     @Test(expected = NumberIsTooLargeException.<strong class="jxr_keyword">class</strong>)
-<a class="jxr_linenumber" name="L395" href="#L395">395</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">void</strong> testInvGamma1pm1Precondition2() {
-<a class="jxr_linenumber" name="L396" href="#L396">396</a> 
-<a class="jxr_linenumber" name="L397" href="#L397">397</a>         Gamma.invGamma1pm1(1.51);
-<a class="jxr_linenumber" name="L398" href="#L398">398</a>     }
-<a class="jxr_linenumber" name="L399" href="#L399">399</a> 
-<a class="jxr_linenumber" name="L400" href="#L400">400</a>     <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong>[][] LOG_GAMMA1P_REF = {
-<a class="jxr_linenumber" name="L401" href="#L401">401</a>         { - 0.5 , .5723649429247001 },
-<a class="jxr_linenumber" name="L402" href="#L402">402</a>         { - 0.375 , .3608294954889402 },
-<a class="jxr_linenumber" name="L403" href="#L403">403</a>         { - 0.25 , .2032809514312954 },
-<a class="jxr_linenumber" name="L404" href="#L404">404</a>         { - 0.125 , .08585870722533433 },
-<a class="jxr_linenumber" name="L405" href="#L405">405</a>         { 0.0 , 0.0 },
-<a class="jxr_linenumber" name="L406" href="#L406">406</a>         { 0.125 , - .06002318412603958 },
-<a class="jxr_linenumber" name="L407" href="#L407">407</a>         { 0.25 , - .09827183642181316 },
-<a class="jxr_linenumber" name="L408" href="#L408">408</a>         { 0.375 , - .1177552707410788 },
-<a class="jxr_linenumber" name="L409" href="#L409">409</a>         { 0.5 , - .1207822376352452 },
-<a class="jxr_linenumber" name="L410" href="#L410">410</a>         { 0.625 , - .1091741337567954 },
-<a class="jxr_linenumber" name="L411" href="#L411">411</a>         { 0.75 , - .08440112102048555 },
-<a class="jxr_linenumber" name="L412" href="#L412">412</a>         { 0.875 , - 0.0476726853991883 },
-<a class="jxr_linenumber" name="L413" href="#L413">413</a>         { 1.0 , 0.0 },
-<a class="jxr_linenumber" name="L414" href="#L414">414</a>         { 1.125 , .05775985153034387 },
-<a class="jxr_linenumber" name="L415" href="#L415">415</a>         { 1.25 , .1248717148923966 },
-<a class="jxr_linenumber" name="L416" href="#L416">416</a>         { 1.375 , .2006984603774558 },
-<a class="jxr_linenumber" name="L417" href="#L417">417</a>         { 1.5 , .2846828704729192 },
-<a class="jxr_linenumber" name="L418" href="#L418">418</a>     };
-<a class="jxr_linenumber" name="L419" href="#L419">419</a> 
-<a class="jxr_linenumber" name="L420" href="#L420">420</a>     @Test
-<a class="jxr_linenumber" name="L421" href="#L421">421</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">void</strong> testLogGamma1p() {
-<a class="jxr_linenumber" name="L422" href="#L422">422</a> 
-<a class="jxr_linenumber" name="L423" href="#L423">423</a>         <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">int</strong> ulps = 3;
-<a class="jxr_linenumber" name="L424" href="#L424">424</a>         <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i &lt; LOG_GAMMA1P_REF.length; i++) {
-<a class="jxr_linenumber" name="L425" href="#L425">425</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong>[] ref = LOG_GAMMA1P_REF[i];
-<a class="jxr_linenumber" name="L426" href="#L426">426</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> x = ref[0];
-<a class="jxr_linenumber" name="L427" href="#L427">427</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> expected = ref[1];
-<a class="jxr_linenumber" name="L428" href="#L428">428</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> actual = Gamma.logGamma1p(x);
-<a class="jxr_linenumber" name="L429" href="#L429">429</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> tol = ulps * FastMath.ulp(expected);
-<a class="jxr_linenumber" name="L430" href="#L430">430</a>             Assert.assertEquals(Double.toString(x), expected, actual, tol);
-<a class="jxr_linenumber" name="L431" href="#L431">431</a>         }
-<a class="jxr_linenumber" name="L432" href="#L432">432</a>     }
+<a class="jxr_linenumber" name="L391" href="#L391">391</a>         <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">int</strong> ulps = 3;
+<a class="jxr_linenumber" name="L392" href="#L392">392</a>         <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i &lt; INV_GAMMA1P_M1_REF.length; i++) {
+<a class="jxr_linenumber" name="L393" href="#L393">393</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong>[] ref = INV_GAMMA1P_M1_REF[i];
+<a class="jxr_linenumber" name="L394" href="#L394">394</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> x = ref[0];
+<a class="jxr_linenumber" name="L395" href="#L395">395</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> expected = ref[1];
+<a class="jxr_linenumber" name="L396" href="#L396">396</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> actual = Gamma.invGamma1pm1(x);
+<a class="jxr_linenumber" name="L397" href="#L397">397</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> tol = ulps * FastMath.ulp(expected);
+<a class="jxr_linenumber" name="L398" href="#L398">398</a>             Assert.assertEquals(Double.toString(x), expected, actual, tol);
+<a class="jxr_linenumber" name="L399" href="#L399">399</a>         }
+<a class="jxr_linenumber" name="L400" href="#L400">400</a>     }
+<a class="jxr_linenumber" name="L401" href="#L401">401</a> 
+<a class="jxr_linenumber" name="L402" href="#L402">402</a>     @Test(expected = NumberIsTooSmallException.<strong class="jxr_keyword">class</strong>)
+<a class="jxr_linenumber" name="L403" href="#L403">403</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">void</strong> testInvGamma1pm1Precondition1() {
+<a class="jxr_linenumber" name="L404" href="#L404">404</a> 
+<a class="jxr_linenumber" name="L405" href="#L405">405</a>         Gamma.invGamma1pm1(-0.51);
+<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>     @Test(expected = NumberIsTooLargeException.<strong class="jxr_keyword">class</strong>)
+<a class="jxr_linenumber" name="L409" href="#L409">409</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">void</strong> testInvGamma1pm1Precondition2() {
+<a class="jxr_linenumber" name="L410" href="#L410">410</a> 
+<a class="jxr_linenumber" name="L411" href="#L411">411</a>         Gamma.invGamma1pm1(1.51);
+<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>     <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong>[][] LOG_GAMMA1P_REF = {
+<a class="jxr_linenumber" name="L415" href="#L415">415</a>         { - 0.5 , .5723649429247001 },
+<a class="jxr_linenumber" name="L416" href="#L416">416</a>         { - 0.375 , .3608294954889402 },
+<a class="jxr_linenumber" name="L417" href="#L417">417</a>         { - 0.25 , .2032809514312954 },
+<a class="jxr_linenumber" name="L418" href="#L418">418</a>         { - 0.125 , .08585870722533433 },
+<a class="jxr_linenumber" name="L419" href="#L419">419</a>         { 0.0 , 0.0 },
+<a class="jxr_linenumber" name="L420" href="#L420">420</a>         { 0.125 , - .06002318412603958 },
+<a class="jxr_linenumber" name="L421" href="#L421">421</a>         { 0.25 , - .09827183642181316 },
+<a class="jxr_linenumber" name="L422" href="#L422">422</a>         { 0.375 , - .1177552707410788 },
+<a class="jxr_linenumber" name="L423" href="#L423">423</a>         { 0.5 , - .1207822376352452 },
+<a class="jxr_linenumber" name="L424" href="#L424">424</a>         { 0.625 , - .1091741337567954 },
+<a class="jxr_linenumber" name="L425" href="#L425">425</a>         { 0.75 , - .08440112102048555 },
+<a class="jxr_linenumber" name="L426" href="#L426">426</a>         { 0.875 , - 0.0476726853991883 },
+<a class="jxr_linenumber" name="L427" href="#L427">427</a>         { 1.0 , 0.0 },
+<a class="jxr_linenumber" name="L428" href="#L428">428</a>         { 1.125 , .05775985153034387 },
+<a class="jxr_linenumber" name="L429" href="#L429">429</a>         { 1.25 , .1248717148923966 },
+<a class="jxr_linenumber" name="L430" href="#L430">430</a>         { 1.375 , .2006984603774558 },
+<a class="jxr_linenumber" name="L431" href="#L431">431</a>         { 1.5 , .2846828704729192 },
+<a class="jxr_linenumber" name="L432" href="#L432">432</a>     };
 <a class="jxr_linenumber" name="L433" href="#L433">433</a> 
-<a class="jxr_linenumber" name="L434" href="#L434">434</a>     @Test(expected = NumberIsTooSmallException.<strong class="jxr_keyword">class</strong>)
-<a class="jxr_linenumber" name="L435" href="#L435">435</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">void</strong> testLogGamma1pPrecondition1() {
+<a class="jxr_linenumber" name="L434" href="#L434">434</a>     @Test
+<a class="jxr_linenumber" name="L435" href="#L435">435</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">void</strong> testLogGamma1p() {
 <a class="jxr_linenumber" name="L436" href="#L436">436</a> 
-<a class="jxr_linenumber" name="L437" href="#L437">437</a>         Gamma.logGamma1p(-0.51);
-<a class="jxr_linenumber" name="L438" href="#L438">438</a>     }
-<a class="jxr_linenumber" name="L439" href="#L439">439</a> 
-<a class="jxr_linenumber" name="L440" href="#L440">440</a>     @Test(expected = NumberIsTooLargeException.<strong class="jxr_keyword">class</strong>)
-<a class="jxr_linenumber" name="L441" href="#L441">441</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">void</strong> testLogGamma1pPrecondition2() {
-<a class="jxr_linenumber" name="L442" href="#L442">442</a> 
-<a class="jxr_linenumber" name="L443" href="#L443">443</a>         Gamma.logGamma1p(1.51);
-<a class="jxr_linenumber" name="L444" href="#L444">444</a>     }
-<a class="jxr_linenumber" name="L445" href="#L445">445</a> 
-<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">     * Reference data for the {@link Gamma#gamma(double)} function. This</em>
-<a class="jxr_linenumber" name="L448" href="#L448">448</a> <em class="jxr_javadoccomment">     * data was generated with the following &lt;a</em>
-<a class="jxr_linenumber" name="L449" href="#L449">449</a> <em class="jxr_javadoccomment">     * href="<a href="http://maxima.sourceforge.net/" target="alexandria_uri">http://maxima.sourceforge.net/</a>"&gt;Maxima&lt;/a&gt; script.</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> <em class="jxr_javadoccomment">     * &lt;pre&gt;</em>
-<a class="jxr_linenumber" name="L452" href="#L452">452</a> <em class="jxr_javadoccomment">     * kill(all);</em>
-<a class="jxr_linenumber" name="L453" href="#L453">453</a> <em class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L454" href="#L454">454</a> <em class="jxr_javadoccomment">     * fpprec : 64;</em>
-<a class="jxr_linenumber" name="L455" href="#L455">455</a> <em class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L456" href="#L456">456</a> <em class="jxr_javadoccomment">     * EPSILON : 10**(-fpprec + 1);</em>
-<a class="jxr_linenumber" name="L457" href="#L457">457</a> <em class="jxr_javadoccomment">     * isInteger(x) := abs(x - floor(x)) &lt;= EPSILON * abs(x);</em>
-<a class="jxr_linenumber" name="L458" href="#L458">458</a> <em class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L459" href="#L459">459</a> <em class="jxr_javadoccomment">     * x : makelist(bfloat(i / 8), i, -160, 160);</em>
-<a class="jxr_linenumber" name="L460" href="#L460">460</a> <em class="jxr_javadoccomment">     * x : append(x, makelist(bfloat(i / 2), i, 41, 200));</em>
-<a class="jxr_linenumber" name="L461" href="#L461">461</a> <em class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L462" href="#L462">462</a> <em class="jxr_javadoccomment">     * for i : 1 while i &lt;= length(x) do if not(isInteger(x[i])) then</em>
-<a class="jxr_linenumber" name="L463" href="#L463">463</a> <em class="jxr_javadoccomment">     *     print("{", float(x[i]), ",", float(gamma(x[i])), "},");</em>
-<a class="jxr_linenumber" name="L464" href="#L464">464</a> <em class="jxr_javadoccomment">     * &lt;/pre&gt;</em>
-<a class="jxr_linenumber" name="L465" href="#L465">465</a> <em class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L466" href="#L466">466</a>     <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong>[][] GAMMA_REF = {
-<a class="jxr_linenumber" name="L467" href="#L467">467</a>         { - 19.875 , 4.920331854832504e-18 },
-<a class="jxr_linenumber" name="L468" href="#L468">468</a>         { - 19.75 , 3.879938752480031e-18 },
-<a class="jxr_linenumber" name="L469" href="#L469">469</a>         { - 19.625 , 4.323498423815027e-18 },
-<a class="jxr_linenumber" name="L470" href="#L470">470</a>         { - 19.5 , 5.811045977502237e-18 },
-<a class="jxr_linenumber" name="L471" href="#L471">471</a>         { - 19.375 , 9.14330910942125e-18 },
-<a class="jxr_linenumber" name="L472" href="#L472">472</a>         { - 19.25 , 1.735229114436739e-17 },
-<a class="jxr_linenumber" name="L473" href="#L473">473</a>         { - 19.125 , 4.653521565668223e-17 },
-<a class="jxr_linenumber" name="L474" href="#L474">474</a>         { - 18.875 , - 9.779159561479603e-17 },
-<a class="jxr_linenumber" name="L475" href="#L475">475</a>         { - 18.75 , - 7.662879036148061e-17 },
-<a class="jxr_linenumber" name="L476" href="#L476">476</a>         { - 18.625 , - 8.484865656736991e-17 },
-<a class="jxr_linenumber" name="L477" href="#L477">477</a>         { - 18.5 , - 1.133153965612936e-16 },
-<a class="jxr_linenumber" name="L478" href="#L478">478</a>         { - 18.375 , - 1.771516139950367e-16 },
-<a class="jxr_linenumber" name="L479" href="#L479">479</a>         { - 18.25 , - 3.340316045290721e-16 },
-<a class="jxr_linenumber" name="L480" href="#L480">480</a>         { - 18.125 , - 8.899859994340475e-16 },
-<a class="jxr_linenumber" name="L481" href="#L481">481</a>         { - 17.875 , 1.845816367229275e-15 },
-<a class="jxr_linenumber" name="L482" href="#L482">482</a>         { - 17.75 , 1.436789819277761e-15 },
-<a class="jxr_linenumber" name="L483" href="#L483">483</a>         { - 17.625 , 1.580306228567265e-15 },
-<a class="jxr_linenumber" name="L484" href="#L484">484</a>         { - 17.5 , 2.096334836383932e-15 },
-<a class="jxr_linenumber" name="L485" href="#L485">485</a>         { - 17.375 , 3.255160907158799e-15 },
-<a class="jxr_linenumber" name="L486" href="#L486">486</a>         { - 17.25 , 6.096076782655566e-15 },
-<a class="jxr_linenumber" name="L487" href="#L487">487</a>         { - 17.125 , 1.613099623974211e-14 },
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[... 886 lines stripped ...]


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