This is an automated email from the ASF dual-hosted git repository. aherbert pushed a commit to branch master in repository https://gitbox.apache.org/repos/asf/commons-numbers.git
commit 6592e777fa5ea084f46252f2ecff71772ac19674 Author: aherbert <[email protected]> AuthorDate: Fri Nov 8 18:33:02 2019 +0000 Fixed checkstyle in gamma. Changed all classes with private constructors to final. Updated whitespace around array initializers in tests. --- .../org/apache/commons/numbers/gamma/Digamma.java | 3 +- .../java/org/apache/commons/numbers/gamma/Erf.java | 3 +- .../commons/numbers/gamma/ErfDifference.java | 3 +- .../org/apache/commons/numbers/gamma/Erfc.java | 3 +- .../org/apache/commons/numbers/gamma/Gamma.java | 3 +- .../apache/commons/numbers/gamma/InvGamma1pm1.java | 4 +- .../apache/commons/numbers/gamma/InverseErf.java | 3 +- .../apache/commons/numbers/gamma/InverseErfc.java | 3 +- .../numbers/gamma/LanczosApproximation.java | 3 +- .../org/apache/commons/numbers/gamma/LogBeta.java | 16 +- .../org/apache/commons/numbers/gamma/LogGamma.java | 3 +- .../apache/commons/numbers/gamma/LogGamma1p.java | 3 +- .../apache/commons/numbers/gamma/LogGammaSum.java | 3 +- .../commons/numbers/gamma/RegularizedBeta.java | 3 +- .../commons/numbers/gamma/RegularizedGamma.java | 7 +- .../org/apache/commons/numbers/gamma/Trigamma.java | 3 +- .../apache/commons/numbers/gamma/DigammaTest.java | 10 +- .../commons/numbers/gamma/ErfDifferenceTest.java | 6 +- .../org/apache/commons/numbers/gamma/ErfTest.java | 2 +- .../apache/commons/numbers/gamma/GammaTest.java | 923 +++++++++--------- .../commons/numbers/gamma/InvGamma1pm1Test.java | 44 +- .../commons/numbers/gamma/InverseErfcTest.java | 2 +- .../apache/commons/numbers/gamma/LogBetaTest.java | 1008 ++++++++++---------- .../commons/numbers/gamma/LogGamma1pTest.java | 38 +- .../commons/numbers/gamma/LogGammaSumTest.java | 168 ++-- .../apache/commons/numbers/gamma/LogGammaTest.java | 304 +++--- .../apache/commons/numbers/gamma/TrigammaTest.java | 26 +- 27 files changed, 1287 insertions(+), 1310 deletions(-) diff --git a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/Digamma.java b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/Digamma.java index e30a1ff..c96d740 100644 --- a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/Digamma.java +++ b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/Digamma.java @@ -26,8 +26,7 @@ package org.apache.commons.numbers.gamma; * * @see Gamma */ -public class Digamma { - +public final class Digamma { /** <a href="http://en.wikipedia.org/wiki/Euler-Mascheroni_constant";>Euler-Mascheroni constant</a>. */ private static final double GAMMA = 0.577215664901532860606512090082; diff --git a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/Erf.java b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/Erf.java index eba9a7c..4434b58 100644 --- a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/Erf.java +++ b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/Erf.java @@ -19,8 +19,7 @@ package org.apache.commons.numbers.gamma; /** * <a href="http://mathworld.wolfram.com/Erf.html";>Error function</a>. */ -public class Erf { - +public final class Erf { /** Private constructor. */ private Erf() { // intenitonal empty. diff --git a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/ErfDifference.java b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/ErfDifference.java index 2c2e70d..1fbd36f 100644 --- a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/ErfDifference.java +++ b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/ErfDifference.java @@ -19,8 +19,7 @@ package org.apache.commons.numbers.gamma; /** * Computes the difference between {@link Erf error function values}. */ -public class ErfDifference { - +public final class ErfDifference { /** * This number solves {@code erf(x) = 0.5} within 1 ulp. * More precisely, the current implementations of diff --git a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/Erfc.java b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/Erfc.java index b5b7752..07a7cbc 100644 --- a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/Erfc.java +++ b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/Erfc.java @@ -19,8 +19,7 @@ package org.apache.commons.numbers.gamma; /** * <a href="http://mathworld.wolfram.com/Erfc.html";>Complementary error function</a>. */ -public class Erfc { - +public final class Erfc { /** Private constructor. */ private Erfc() { // intentionally empty. diff --git a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/Gamma.java b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/Gamma.java index 9b1c5aa..2698a73 100644 --- a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/Gamma.java +++ b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/Gamma.java @@ -30,8 +30,7 @@ package org.apache.commons.numbers.gamma; * This class is immutable. * </p> */ -public class Gamma { - +public final class Gamma { /** √(2π). */ private static final double SQRT_TWO_PI = 2.506628274631000502; diff --git a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/InvGamma1pm1.java b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/InvGamma1pm1.java index f98fed5..710ccdd 100644 --- a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/InvGamma1pm1.java +++ b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/InvGamma1pm1.java @@ -21,9 +21,7 @@ package org.apache.commons.numbers.gamma; * * Class is immutable. */ -class InvGamma1pm1 { - - +final class InvGamma1pm1 { /* * Constants copied from DGAM1 in the NSWC library. */ diff --git a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/InverseErf.java b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/InverseErf.java index 6944e38..95c9966 100644 --- a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/InverseErf.java +++ b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/InverseErf.java @@ -26,8 +26,7 @@ package org.apache.commons.numbers.gamma; * The source code is available <a href="http://gpucomputing.net/?q=node/1828";>here</a>. * </p> */ -public class InverseErf { - +public final class InverseErf { /** Private constructor. */ private InverseErf() { // intentionally empty. diff --git a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/InverseErfc.java b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/InverseErfc.java index 8cef231..513ea49 100644 --- a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/InverseErfc.java +++ b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/InverseErfc.java @@ -26,8 +26,7 @@ package org.apache.commons.numbers.gamma; * The source code is available <a href="http://gpucomputing.net/?q=node/1828";>here</a>. * </p> */ -public class InverseErfc { - +public final class InverseErfc { /** Private constructor. */ private InverseErfc() { // intentional empty. diff --git a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/LanczosApproximation.java b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/LanczosApproximation.java index 5440d47..8005561 100644 --- a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/LanczosApproximation.java +++ b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/LanczosApproximation.java @@ -31,8 +31,7 @@ package org.apache.commons.numbers.gamma; * <a href="http://my.fit.edu/~gabdo/gamma.txt";>Note on the computation * of the convergent Lanczos complex Gamma approximation</a>. */ -public class LanczosApproximation { - +public final class LanczosApproximation { /** \( g = \frac{607}{128} \). */ private static final double LANCZOS_G = 607d / 128d; /** Lanczos coefficients. */ diff --git a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/LogBeta.java b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/LogBeta.java index b394300..04ea5b8 100644 --- a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/LogBeta.java +++ b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/LogBeta.java @@ -22,20 +22,18 @@ package org.apache.commons.numbers.gamma; * This class is immutable. * </p> */ -public class LogBeta { - - +public final class LogBeta { /** The constant value of ½log 2π. */ private static final double HALF_LOG_TWO_PI = 0.9189385332046727; /** - * <p> * The coefficients of the series expansion of the Δ function. This function - * is defined as follows - * </p> - * <center>Δ(x) = log Γ(x) - (x - 0.5) log a + a - 0.5 log 2π,</center> + * is defined as follows: + * <pre> + * Δ(x) = log Γ(x) - (x - 0.5) log a + a - 0.5 log 2π, + * </pre> * <p> - * see equation (23) in Didonato and Morris (1992). The series expansion, + * See equation (23) in Didonato and Morris (1992). The series expansion, * which applies for x ≥ 10, reads * </p> * <pre> @@ -46,7 +44,7 @@ public class LogBeta { * x / n * ==== * n = 0 - * <pre> + * </pre> */ private static final double[] DELTA = { .833333333333333333333333333333E-01, diff --git a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/LogGamma.java b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/LogGamma.java index 4e491be..f367f20 100644 --- a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/LogGamma.java +++ b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/LogGamma.java @@ -21,8 +21,7 @@ package org.apache.commons.numbers.gamma; * * Class is immutable. */ -public class LogGamma { - +public final class LogGamma { /** Lanczos constant. */ private static final double LANCZOS_G = 607d / 128d; /** Performance. */ diff --git a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/LogGamma1p.java b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/LogGamma1p.java index 95da30c..6940eda 100644 --- a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/LogGamma1p.java +++ b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/LogGamma1p.java @@ -21,8 +21,7 @@ package org.apache.commons.numbers.gamma; * * Class is immutable. */ -class LogGamma1p { - +final class LogGamma1p { /** Private constructor. */ private LogGamma1p() { // intentionally empty diff --git a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/LogGammaSum.java b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/LogGammaSum.java index b437b35..299d281 100644 --- a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/LogGammaSum.java +++ b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/LogGammaSum.java @@ -22,8 +22,7 @@ package org.apache.commons.numbers.gamma; * This class is immutable. * </p> */ -class LogGammaSum { - +final class LogGammaSum { /** Private constructor. */ private LogGammaSum() { // intentionally empty diff --git a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/RegularizedBeta.java b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/RegularizedBeta.java index f93a697..2a4d4fa 100644 --- a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/RegularizedBeta.java +++ b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/RegularizedBeta.java @@ -25,8 +25,7 @@ import org.apache.commons.numbers.fraction.ContinuedFraction; * This class is immutable. * </p> */ -public class RegularizedBeta { - +public final class RegularizedBeta { /** Maximum allowed numerical error. */ private static final double DEFAULT_EPSILON = 1e-14; diff --git a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/RegularizedGamma.java b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/RegularizedGamma.java index e3eb69a..031cb59 100644 --- a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/RegularizedGamma.java +++ b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/RegularizedGamma.java @@ -24,8 +24,7 @@ import org.apache.commons.numbers.fraction.ContinuedFraction; * * Class is immutable. */ -public class RegularizedGamma { - +public final class RegularizedGamma { /** Maximum allowed numerical error. */ private static final double DEFAULT_EPSILON = 1e-15; @@ -40,7 +39,7 @@ public class RegularizedGamma { * * Class is immutable. */ - public static class P { + public static final class P { /** Prevent instantiation. */ private P() {} @@ -127,7 +126,7 @@ public class RegularizedGamma { * * Class is immutable. */ - public static class Q { + public static final class Q { /** Prevent instantiation. */ private Q() {} diff --git a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/Trigamma.java b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/Trigamma.java index 487b6c3..0eef4e3 100644 --- a/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/Trigamma.java +++ b/commons-numbers-gamma/src/main/java/org/apache/commons/numbers/gamma/Trigamma.java @@ -22,8 +22,7 @@ package org.apache.commons.numbers.gamma; * It is the derivative of the {@link Digamma digamma function}: * \( \psi_1(x) = \frac{d^2}{dx^2} (\ln \Gamma(x)) \). */ -public class Trigamma { - +public final class Trigamma { /** C limit. */ private static final double C_LIMIT = 49; diff --git a/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/DigammaTest.java b/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/DigammaTest.java index 6985104..1d708bd 100644 --- a/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/DigammaTest.java +++ b/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/DigammaTest.java @@ -45,11 +45,11 @@ public class DigammaTest { // values for negative powers of 10 from 1 to 30 as computed by webMathematica with 20 digits // see functions.wolfram.com double[] expected = {-10.423754940411076795, -100.56088545786867450, -1000.5755719318103005, - -10000.577051183514335, -100000.57719921568107, -1.0000005772140199687e6, -1.0000000577215500408e7, - -1.0000000057721564845e8, -1.0000000005772156633e9, -1.0000000000577215665e10, -1.0000000000057721566e11, - -1.0000000000005772157e12, -1.0000000000000577216e13, -1.0000000000000057722e14, -1.0000000000000005772e15, -1e+16, - -1e+17, -1e+18, -1e+19, -1e+20, -1e+21, -1e+22, -1e+23, -1e+24, -1e+25, -1e+26, - -1e+27, -1e+28, -1e+29, -1e+30}; + -10000.577051183514335, -100000.57719921568107, -1.0000005772140199687e6, -1.0000000577215500408e7, + -1.0000000057721564845e8, -1.0000000005772156633e9, -1.0000000000577215665e10, -1.0000000000057721566e11, + -1.0000000000005772157e12, -1.0000000000000577216e13, -1.0000000000000057722e14, -1.0000000000000005772e15, -1e+16, + -1e+17, -1e+18, -1e+19, -1e+20, -1e+21, -1e+22, -1e+23, -1e+24, -1e+25, -1e+26, + -1e+27, -1e+28, -1e+29, -1e+30}; for (double n = 1; n < 30; n++) { checkRelativeError(String.format("Test %.0f: ", n), expected[(int) (n - 1)], Digamma.value(Math.pow(10.0, -n)), 1e-8); } diff --git a/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/ErfDifferenceTest.java b/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/ErfDifferenceTest.java index ee49a8f..da9bf8a 100644 --- a/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/ErfDifferenceTest.java +++ b/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/ErfDifferenceTest.java @@ -29,9 +29,9 @@ public class ErfDifferenceTest { */ @Test public void testTwoArgumentErf() { - final double[] xi = new double[] { -2, -1, -0.9, -0.1, 0, 0.1, 0.9, 1, 2 }; - for(double x1 : xi) { - for(double x2 : xi) { + final double[] xi = new double[] {-2, -1, -0.9, -0.1, 0, 0.1, 0.9, 1, 2}; + for (double x1 : xi) { + for (double x2 : xi) { double a = ErfDifference.value(x1, x2); double b = Erf.value(x2) - Erf.value(x1); double c = Erfc.value(x1) - Erfc.value(x2); diff --git a/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/ErfTest.java b/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/ErfTest.java index 461d128..c1a021d 100644 --- a/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/ErfTest.java +++ b/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/ErfTest.java @@ -130,7 +130,7 @@ public class ErfTest { 0.99999999980338395581, 0.99999999999846254017, 0.99999999999999264217, 0.99999999999999997848, 1, 1, 1, 1, 1, 1, 1, 1}; - + double x = -10; for (int i = 0; i < 41; i++) { Assertions.assertEquals(gnuValues[i], Erf.value(x), tol); diff --git a/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/GammaTest.java b/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/GammaTest.java index 832caf9..f14606b 100644 --- a/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/GammaTest.java +++ b/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/GammaTest.java @@ -44,466 +44,466 @@ public class GammaTest { * </pre> */ private static final double[][] GAMMA_REF = { - { - 19.875 , 4.920331854832504e-18 }, - { - 19.75 , 3.879938752480031e-18 }, - { - 19.625 , 4.323498423815027e-18 }, - { - 19.5 , 5.811045977502237e-18 }, - { - 19.375 , 9.14330910942125e-18 }, - { - 19.25 , 1.735229114436739e-17 }, - { - 19.125 , 4.653521565668223e-17 }, - { - 18.875 , - 9.779159561479603e-17 }, - { - 18.75 , - 7.662879036148061e-17 }, - { - 18.625 , - 8.484865656736991e-17 }, - { - 18.5 , - 1.133153965612936e-16 }, - { - 18.375 , - 1.771516139950367e-16 }, - { - 18.25 , - 3.340316045290721e-16 }, - { - 18.125 , - 8.899859994340475e-16 }, - { - 17.875 , 1.845816367229275e-15 }, - { - 17.75 , 1.436789819277761e-15 }, - { - 17.625 , 1.580306228567265e-15 }, - { - 17.5 , 2.096334836383932e-15 }, - { - 17.375 , 3.255160907158799e-15 }, - { - 17.25 , 6.096076782655566e-15 }, - { - 17.125 , 1.613099623974211e-14 }, - { - 16.875 , - 3.29939675642233e-14 }, - { - 16.75 , - 2.550301929218027e-14 }, - { - 16.625 , - 2.785289727849803e-14 }, - { - 16.5 , - 3.66858596367188e-14 }, - { - 16.375 , - 5.655842076188414e-14 }, - { - 16.25 , - 1.051573245008085e-13 }, - { - 16.125 , - 2.762433106055837e-13 }, - { - 15.875 , 5.567732026462681e-13 }, - { - 15.75 , 4.271755731440195e-13 }, - { - 15.625 , 4.630544172550298e-13 }, - { - 15.5 , 6.053166840058604e-13 }, - { - 15.375 , 9.261441399758529e-13 }, - { - 15.25 , 1.708806523138138e-12 }, - { - 15.125 , 4.454423383515037e-12 }, - { - 14.875 , - 8.838774592009505e-12 }, - { - 14.75 , - 6.728015277018307e-12 }, - { - 14.625 , - 7.235225269609841e-12 }, - { - 14.5 , - 9.382408602090835e-12 }, - { - 14.375 , - 1.423946615212874e-11 }, - { - 14.25 , - 2.605929947785661e-11 }, - { - 14.125 , - 6.737315367566492e-11 }, - { - 13.875 , 1.314767720561414e-10 }, - { - 13.75 , 9.923822533602004e-11 }, - { - 13.625 , 1.058151695680439e-10 }, - { - 13.5 , 1.360449247303171e-10 }, - { - 13.375 , 2.046923259368506e-10 }, - { - 13.25 , 3.713450175594567e-10 }, - { - 13.125 , 9.516457956687671e-10 }, - { - 12.875 , - 1.8242402122789617e-9 }, - { - 12.75 , - 1.3645255983702756e-9 }, - { - 12.625 , - 1.4417316853645984e-9 }, - { - 12.5 , - 1.836606483859281e-9 }, - { - 12.375 , - 2.7377598594053765e-9 }, - { - 12.25 , - 4.9203214826628017e-9 }, - { - 12.125 , - 1.2490351068152569e-8 }, - { - 11.875 , 2.3487092733091633e-8 }, - { - 11.75 , 1.7397701379221012e-8 }, - { - 11.625 , 1.8201862527728055e-8 }, - { - 11.5 , 2.295758104824101e-8 }, - { - 11.375 , 3.3879778260141535e-8 }, - { - 11.25 , 6.027393816261931e-8 }, - { - 11.125 , 1.5144550670134987e-7 }, - { - 10.875 , - 2.7890922620546316e-7 }, - { - 10.75 , - 2.044229912058469e-7 }, - { - 10.625 , - 2.1159665188483867e-7 }, - { - 10.5 , - 2.640121820547716e-7 }, - { - 10.375 , - 3.8538247770911e-7 }, - { - 10.25 , - 6.780818043294673e-7 }, - { - 10.125 , - 1.6848312620525174e-6 }, - { - 9.875 , 3.0331378349844124e-6 }, - { - 9.75 , 2.1975471554628537e-6 }, - { - 9.625 , 2.2482144262764103e-6 }, - { - 9.5 , 2.772127911575102e-6 }, - { - 9.375 , 3.998343206232017e-6 }, - { - 9.25 , 6.95033849437704e-6 }, - { - 9.125 , 1.7058916528281737e-5 }, - { - 8.875 , - 2.9952236120471065e-5 }, - { - 8.75 , - 2.1426084765762826e-5 }, - { - 8.625 , - 2.163906385291045e-5 }, - { - 8.5 , - 2.633521515996347e-5 }, - { - 8.375 , - 3.748446755842515e-5 }, - { - 8.25 , - 6.429063107298763e-5 }, - { - 8.125 , - 1.5566261332057085e-4 }, - { - 7.875 , 2.658260955691807e-4 }, - { - 7.75 , 1.874782417004247e-4 }, - { - 7.625 , 1.8663692573135265e-4 }, - { - 7.5 , 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3.31424013456535e+126}, + {85.5, 3.05108825688955e+127}, + {86.0, 2.81710411438055e+128}, + {86.5, 2.60868045964056e+129}, + {87.0, 2.42270953836727e+130}, + {87.5, 2.25650859758909e+131}, + {88.0, 2.10775729837953e+132}, + {88.5, 1.97444502289045e+133}, + {89.0, 1.85482642257398e+134}, + {89.5, 1.74738384525805e+135}, + {90.0, 1.65079551609085e+136}, + {90.5, 1.56390854150595e+137}, + {91.0, 1.48571596448176e+138}, + {91.5, 1.41533723006289e+139}, + {92.0, 1.3520015276784e+140}, + {92.5, 1.29503356550754e+141}, + {93.0, 1.24384140546413e+142}, + {93.5, 1.19790604809448e+143}, + {94.0, 1.15677250708164e+144}, + {94.5, 1.12004215496834e+145}, + {95.0, 1.08736615665674e+146}, + {95.5, 1.05843983644508e+147}, + {96.0, 1.03299784882391e+148}, + {96.5, 1.01081004380505e+149}, + {97.0, 9.9167793487095e+149}, + {97.5, 9.75431692271873e+150}, + {98.0, 9.61927596824821e+151}, + {98.5, 9.51045899965076e+152}, + {99.0, 9.42689044888325e+153}, + {99.5, 9.367802114656e+154}, + {100.0, 9.33262154439441e+155}, }; @Test @@ -546,8 +546,7 @@ public class GammaTest { double previousGamma = Gamma.value(-18.5); for (double x = -19.5; x > -25; x -= 1.0) { double gamma = Gamma.value(x); - Assertions.assertEquals( (int) Math.signum(previousGamma), - - (int) Math.signum(gamma)); + Assertions.assertEquals((int) Math.signum(previousGamma), -(int) Math.signum(gamma)); previousGamma = gamma; } diff --git a/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/InvGamma1pm1Test.java b/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/InvGamma1pm1Test.java index 328c30b..d99b316 100644 --- a/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/InvGamma1pm1Test.java +++ b/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/InvGamma1pm1Test.java @@ -45,23 +45,23 @@ public class InvGamma1pm1Test { * </pre> */ private static final double[][] INV_GAMMA1P_M1_REF = { - { -0.5 , -.4358104164522437 }, - { -0.375 , -.3029021533379859 }, - { -0.25 , -0.183951060901737 }, - { -0.125 , -.08227611018520711 }, - { 0.0 , 0.0 }, - { 0.125 , .06186116458306091 }, - { 0.25 , .1032626513208373 }, - { 0.375 , .1249687649039041 }, - { 0.5 , .1283791670955126 }, - { 0.625 , .1153565546592225 }, - { 0.75 , 0.0880652521310173 }, - { 0.875 , .04882730264547758 }, - { 1.0 , 0.0 }, - { 1.125 , -.05612340925950141 }, - { 1.25 , -.1173898789433302 }, - { 1.375 , -.1818408982517061 }, - { 1.5 , -0.247747221936325 }, + {-0.5, -.4358104164522437}, + {-0.375, -.3029021533379859}, + {-0.25, -0.183951060901737}, + {-0.125, -.08227611018520711}, + {0.0, 0.0}, + {0.125, .06186116458306091}, + {0.25, .1032626513208373}, + {0.375, .1249687649039041}, + {0.5, .1283791670955126}, + {0.625, .1153565546592225}, + {0.75, 0.0880652521310173}, + {0.875, .04882730264547758}, + {1.0, 0.0}, + {1.125, -.05612340925950141}, + {1.25, -.1173898789433302}, + {1.375, -.1818408982517061}, + {1.5, -0.247747221936325}, }; @Test @@ -78,18 +78,16 @@ public class InvGamma1pm1Test { } @Test - public void testInvGamma1pm1Precondition1() - { + public void testInvGamma1pm1Precondition1() { Assertions.assertThrows(GammaException.class, - () -> InvGamma1pm1.value(-0.51) + () -> InvGamma1pm1.value(-0.51) ); } @Test - public void testInvGamma1pm1Precondition2() - { + public void testInvGamma1pm1Precondition2() { Assertions.assertThrows(GammaException.class, - () -> InvGamma1pm1.value(1.51) + () -> InvGamma1pm1.value(1.51) ); } } diff --git a/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/InverseErfcTest.java b/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/InverseErfcTest.java index 991869a..a902927 100644 --- a/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/InverseErfcTest.java +++ b/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/InverseErfcTest.java @@ -32,7 +32,7 @@ public class InverseErfcTest { @Test public void testErfcInvInfinite() { Assertions.assertTrue(Double.isInfinite(InverseErfc.value(-0))); - Assertions.assertTrue(InverseErfc.value( 0) > 0); + Assertions.assertTrue(InverseErfc.value(0) > 0); Assertions.assertTrue(Double.isInfinite(InverseErfc.value(+2))); Assertions.assertTrue(InverseErfc.value(+2) < 0); } diff --git a/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/LogBetaTest.java b/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/LogBetaTest.java index f6cc3bc..1dc710f 100644 --- a/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/LogBetaTest.java +++ b/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/LogBetaTest.java @@ -27,262 +27,262 @@ import org.junit.jupiter.api.Test; */ public class LogBetaTest { private static final double[][] LOG_BETA_REF = { - { 0.125 , 0.125 , 2.750814190409515 }, - { 0.125 , 0.25 , 2.444366899981226 }, - { 0.125 , 0.5 , 2.230953804989556 }, - { 0.125 , 1.0 , 2.079441541679836 }, - { 0.125 , 2.0 , 1.961658506023452 }, - { 0.125 , 3.0 , 1.901033884207018 }, - { 0.125 , 4.0 , 1.860211889686763 }, - { 0.125 , 5.0 , 1.829440231020009 }, - { 0.125 , 6.0 , 1.804747618429637 }, - { 0.125 , 7.0 , 1.784128331226902 }, - { 0.125 , 8.0 , 1.766428754127501 }, - { 0.125 , 9.0 , 1.750924567591535 }, - { 0.125 , 10.0 , 1.7371312454592 }, - { 0.125 , 1000.0 , 1.156003642015969 }, - { 0.125 , 1001.0 , 1.155878649827818 }, - { 0.125 , 10000.0 , .8681312798751318 }, - { 0.25 , 0.125 , 2.444366899981226 }, - { 0.25 , 0.25 , 2.003680106471455 }, - { 0.25 , 0.5 , 1.657106516191482 }, - { 0.25 , 1.0 , 1.386294361119891 }, - { 0.25 , 2.0 , 1.163150809805681 }, - { 0.25 , 3.0 , 1.045367774149297 }, - { 0.25 , 4.0 , 0.965325066475761 }, - { 0.25 , 5.0 , .9047004446593261 }, - { 0.25 , 6.0 , .8559102804898941 }, - { 0.25 , 7.0 , 0.815088285969639 }, - { 0.25 , 8.0 , .7799969661583689 }, - { 0.25 , 9.0 , .7492253074916152 }, - { 0.25 , 10.0 , .7218263333035008 }, - { 0.25 , 1000.0 , - .4388225372378877 }, - { 0.25 , 1001.0 , - .4390725059930951 }, - { 0.25 , 10000.0 , - 1.014553193217846 }, - { 0.5 , 0.125 , 2.230953804989556 }, - { 0.5 , 0.25 , 1.657106516191482 }, - { 0.5 , 0.5 , 1.1447298858494 }, - { 0.5 , 1.0 , .6931471805599453 }, - { 0.5 , 2.0 , .2876820724517809 }, - { 0.5 , 3.0 , .06453852113757118 }, -// { 0.5 , 4.0 , - .08961215868968714 }, - { 0.5 , 5.0 , - .2073951943460706 }, - { 0.5 , 6.0 , - .3027053741503954 }, - { 0.5 , 7.0 , - .3827480818239319 }, - { 0.5 , 8.0 , - .4517409533108833 }, - { 0.5 , 9.0 , - .5123655751273182 }, - { 0.5 , 10.0 , - .5664327963975939 }, - { 0.5 , 1000.0 , - 2.881387696571577 }, - { 0.5 , 1001.0 , - 2.881887571613228 }, - { 0.5 , 10000.0 , - 4.032792743063396 }, - { 1.0 , 0.125 , 2.079441541679836 }, - { 1.0 , 0.25 , 1.386294361119891 }, - { 1.0 , 0.5 , .6931471805599453 }, - { 1.0 , 1.0 , 0.0 }, - { 1.0 , 2.0 , - .6931471805599453 }, - { 1.0 , 3.0 , - 1.09861228866811 }, - { 1.0 , 4.0 , - 1.386294361119891 }, - { 1.0 , 5.0 , - 1.6094379124341 }, - { 1.0 , 6.0 , - 1.791759469228055 }, - { 1.0 , 7.0 , - 1.945910149055313 }, - { 1.0 , 8.0 , - 2.079441541679836 }, - { 1.0 , 9.0 , - 2.19722457733622 }, - { 1.0 , 10.0 , - 2.302585092994046 }, - { 1.0 , 1000.0 , - 6.907755278982137 }, - { 1.0 , 1001.0 , - 6.90875477931522 }, - { 1.0 , 10000.0 , - 9.210340371976184 }, - { 2.0 , 0.125 , 1.961658506023452 }, - { 2.0 , 0.25 , 1.163150809805681 }, - { 2.0 , 0.5 , .2876820724517809 }, - { 2.0 , 1.0 , - .6931471805599453 }, - { 2.0 , 2.0 , - 1.791759469228055 }, - { 2.0 , 3.0 , - 2.484906649788 }, - { 2.0 , 4.0 , - 2.995732273553991 }, - { 2.0 , 5.0 , - 3.401197381662155 }, - { 2.0 , 6.0 , - 3.737669618283368 }, - { 2.0 , 7.0 , - 4.02535169073515 }, - { 2.0 , 8.0 , - 4.276666119016055 }, - { 2.0 , 9.0 , - 4.499809670330265 }, - { 2.0 , 10.0 , - 4.700480365792417 }, - { 2.0 , 1000.0 , - 13.81651005829736 }, - { 2.0 , 1001.0 , - 13.81850806096003 }, - { 2.0 , 10000.0 , - 18.4207807389527 }, - { 3.0 , 0.125 , 1.901033884207018 }, - { 3.0 , 0.25 , 1.045367774149297 }, - { 3.0 , 0.5 , .06453852113757118 }, - { 3.0 , 1.0 , - 1.09861228866811 }, - { 3.0 , 2.0 , - 2.484906649788 }, - { 3.0 , 3.0 , - 3.401197381662155 }, - { 3.0 , 4.0 , - 4.0943445622221 }, - { 3.0 , 5.0 , - 4.653960350157523 }, - { 3.0 , 6.0 , - 5.123963979403259 }, - { 3.0 , 7.0 , - 5.529429087511423 }, - { 3.0 , 8.0 , - 5.886104031450156 }, - { 3.0 , 9.0 , - 6.20455776256869 }, - { 3.0 , 10.0 , - 6.492239835020471 }, - { 3.0 , 1000.0 , - 20.03311615938222 }, - { 3.0 , 1001.0 , - 20.03611166836202 }, - { 3.0 , 10000.0 , - 26.9381739103716 }, - { 4.0 , 0.125 , 1.860211889686763 }, - { 4.0 , 0.25 , 0.965325066475761 }, -// { 4.0 , 0.5 , - .08961215868968714 }, - { 4.0 , 1.0 , - 1.386294361119891 }, - { 4.0 , 2.0 , - 2.995732273553991 }, - { 4.0 , 3.0 , - 4.0943445622221 }, - { 4.0 , 4.0 , - 4.941642422609304 }, - { 4.0 , 5.0 , - 5.634789603169249 }, - { 4.0 , 6.0 , - 6.222576268071369 }, - { 4.0 , 7.0 , - 6.733401891837359 }, - { 4.0 , 8.0 , - 7.185387015580416 }, - { 4.0 , 9.0 , - 7.590852123688581 }, - { 4.0 , 10.0 , - 7.958576903813898 }, - { 4.0 , 1000.0 , - 25.84525465867605 }, - { 4.0 , 1001.0 , - 25.84924667994559 }, - { 4.0 , 10000.0 , - 35.05020194868867 }, - { 5.0 , 0.125 , 1.829440231020009 }, - { 5.0 , 0.25 , .9047004446593261 }, - { 5.0 , 0.5 , - .2073951943460706 }, - { 5.0 , 1.0 , - 1.6094379124341 }, - { 5.0 , 2.0 , - 3.401197381662155 }, - { 5.0 , 3.0 , - 4.653960350157523 }, - { 5.0 , 4.0 , - 5.634789603169249 }, - { 5.0 , 5.0 , - 6.445719819385578 }, - { 5.0 , 6.0 , - 7.138866999945524 }, - { 5.0 , 7.0 , - 7.745002803515839 }, - { 5.0 , 8.0 , - 8.283999304248526 }, - { 5.0 , 9.0 , - 8.769507120030227 }, - { 5.0 , 10.0 , - 9.211339872309265 }, - { 5.0 , 1000.0 , - 31.37070759780783 }, - { 5.0 , 1001.0 , - 31.37569513931887 }, - { 5.0 , 10000.0 , - 42.87464787956629 }, - { 6.0 , 0.125 , 1.804747618429637 }, - { 6.0 , 0.25 , .8559102804898941 }, - { 6.0 , 0.5 , - .3027053741503954 }, - { 6.0 , 1.0 , - 1.791759469228055 }, - { 6.0 , 2.0 , - 3.737669618283368 }, - { 6.0 , 3.0 , - 5.123963979403259 }, - { 6.0 , 4.0 , - 6.222576268071369 }, - { 6.0 , 5.0 , - 7.138866999945524 }, - { 6.0 , 6.0 , - 7.927324360309794 }, - { 6.0 , 7.0 , - 8.620471540869739 }, - { 6.0 , 8.0 , - 9.239510749275963 }, - { 6.0 , 9.0 , - 9.799126537211386 }, - { 6.0 , 10.0 , - 10.30995216097738 }, - { 6.0 , 1000.0 , - 36.67401250586691 }, - { 6.0 , 1001.0 , - 36.67999457754446 }, - { 6.0 , 10000.0 , - 50.47605021415003 }, - { 7.0 , 0.125 , 1.784128331226902 }, - { 7.0 , 0.25 , 0.815088285969639 }, - { 7.0 , 0.5 , - .3827480818239319 }, - { 7.0 , 1.0 , - 1.945910149055313 }, - { 7.0 , 2.0 , - 4.02535169073515 }, - { 7.0 , 3.0 , - 5.529429087511423 }, - { 7.0 , 4.0 , - 6.733401891837359 }, - { 7.0 , 5.0 , - 7.745002803515839 }, - { 7.0 , 6.0 , - 8.620471540869739 }, - { 7.0 , 7.0 , - 9.39366142910322 }, - { 7.0 , 8.0 , - 10.08680860966317 }, - { 7.0 , 9.0 , - 10.71541726908554 }, - { 7.0 , 10.0 , - 11.2907814139891 }, - { 7.0 , 1000.0 , - 41.79599038729854 }, - { 7.0 , 1001.0 , - 41.80296600103496 }, - { 7.0 , 10000.0 , - 57.89523093697012 }, - { 8.0 , 0.125 , 1.766428754127501 }, - { 8.0 , 0.25 , .7799969661583689 }, - { 8.0 , 0.5 , - .4517409533108833 }, - { 8.0 , 1.0 , - 2.079441541679836 }, - { 8.0 , 2.0 , - 4.276666119016055 }, - { 8.0 , 3.0 , - 5.886104031450156 }, - { 8.0 , 4.0 , - 7.185387015580416 }, - { 8.0 , 5.0 , - 8.283999304248526 }, - { 8.0 , 6.0 , - 9.239510749275963 }, - { 8.0 , 7.0 , - 10.08680860966317 }, - { 8.0 , 8.0 , - 10.84894866171006 }, - { 8.0 , 9.0 , - 11.54209584227001 }, - { 8.0 , 10.0 , - 12.17808460899001 }, - { 8.0 , 1000.0 , - 46.76481113096179 }, - { 8.0 , 1001.0 , - 46.77277930061096 }, - { 8.0 , 10000.0 , - 65.16036091500527 }, - { 9.0 , 0.125 , 1.750924567591535 }, - { 9.0 , 0.25 , .7492253074916152 }, - { 9.0 , 0.5 , - .5123655751273182 }, - { 9.0 , 1.0 , - 2.19722457733622 }, - { 9.0 , 2.0 , - 4.499809670330265 }, - { 9.0 , 3.0 , - 6.20455776256869 }, - { 9.0 , 4.0 , - 7.590852123688581 }, - { 9.0 , 5.0 , - 8.769507120030227 }, - { 9.0 , 6.0 , - 9.799126537211386 }, - { 9.0 , 7.0 , - 10.71541726908554 }, - { 9.0 , 8.0 , - 11.54209584227001 }, - { 9.0 , 9.0 , - 12.29586764464639 }, - { 9.0 , 10.0 , - 12.98901482520633 }, - { 9.0 , 1000.0 , - 51.60109303791327 }, - { 9.0 , 1001.0 , - 51.61005277928474 }, - { 9.0 , 10000.0 , - 72.29205942547217 }, - { 10.0 , 0.125 , 1.7371312454592 }, - { 10.0 , 0.25 , .7218263333035008 }, - { 10.0 , 0.5 , - .5664327963975939 }, - { 10.0 , 1.0 , - 2.302585092994046 }, - { 10.0 , 2.0 , - 4.700480365792417 }, - { 10.0 , 3.0 , - 6.492239835020471 }, - { 10.0 , 4.0 , - 7.958576903813898 }, - { 10.0 , 5.0 , - 9.211339872309265 }, - { 10.0 , 6.0 , - 10.30995216097738 }, - { 10.0 , 7.0 , - 11.2907814139891 }, - { 10.0 , 8.0 , - 12.17808460899001 }, - { 10.0 , 9.0 , - 12.98901482520633 }, - { 10.0 , 10.0 , - 13.73622922703655 }, - { 10.0 , 1000.0 , - 56.32058348093065 }, - { 10.0 , 1001.0 , - 56.33053381178382 }, - { 10.0 , 10000.0 , - 79.30607481535498 }, - { 1000.0 , 0.125 , 1.156003642015969 }, - { 1000.0 , 0.25 , - .4388225372378877 }, - { 1000.0 , 0.5 , - 2.881387696571577 }, - { 1000.0 , 1.0 , - 6.907755278982137 }, - { 1000.0 , 2.0 , - 13.81651005829736 }, - { 1000.0 , 3.0 , - 20.03311615938222 }, - { 1000.0 , 4.0 , - 25.84525465867605 }, - { 1000.0 , 5.0 , - 31.37070759780783 }, - { 1000.0 , 6.0 , - 36.67401250586691 }, - { 1000.0 , 7.0 , - 41.79599038729854 }, - { 1000.0 , 8.0 , - 46.76481113096179 }, - { 1000.0 , 9.0 , - 51.60109303791327 }, - { 1000.0 , 10.0 , - 56.32058348093065 }, - { 1000.0 , 1000.0 , - 1388.482601635902 }, - { 1000.0 , 1001.0 , - 1389.175748816462 }, - { 1000.0 , 10000.0 , - 3353.484270767097 }, - { 1001.0 , 0.125 , 1.155878649827818 }, - { 1001.0 , 0.25 , - .4390725059930951 }, - { 1001.0 , 0.5 , - 2.881887571613228 }, - { 1001.0 , 1.0 , - 6.90875477931522 }, - { 1001.0 , 2.0 , - 13.81850806096003 }, - { 1001.0 , 3.0 , - 20.03611166836202 }, - { 1001.0 , 4.0 , - 25.84924667994559 }, - { 1001.0 , 5.0 , - 31.37569513931887 }, - { 1001.0 , 6.0 , - 36.67999457754446 }, - { 1001.0 , 7.0 , - 41.80296600103496 }, - { 1001.0 , 8.0 , - 46.77277930061096 }, - { 1001.0 , 9.0 , - 51.61005277928474 }, - { 1001.0 , 10.0 , - 56.33053381178382 }, - { 1001.0 , 1000.0 , - 1389.175748816462 }, - { 1001.0 , 1001.0 , - 1389.869395872064 }, - { 1001.0 , 10000.0 , - 3355.882166039895 }, - { 10000.0 , 0.125 , .8681312798751318 }, - { 10000.0 , 0.25 , - 1.014553193217846 }, - { 10000.0 , 0.5 , - 4.032792743063396 }, - { 10000.0 , 1.0 , - 9.210340371976184 }, - { 10000.0 , 2.0 , - 18.4207807389527 }, - { 10000.0 , 3.0 , - 26.9381739103716 }, - { 10000.0 , 4.0 , - 35.05020194868867 }, - { 10000.0 , 5.0 , - 42.87464787956629 }, - { 10000.0 , 6.0 , - 50.47605021415003 }, - { 10000.0 , 7.0 , - 57.89523093697012 }, - { 10000.0 , 8.0 , - 65.16036091500527 }, - { 10000.0 , 9.0 , - 72.29205942547217 }, - { 10000.0 , 10.0 , - 79.30607481535498 }, - { 10000.0 , 1000.0 , - 3353.484270767097 }, - { 10000.0 , 1001.0 , - 3355.882166039895 }, - { 10000.0 , 10000.0 , - 13866.28325676141 }, + {0.125, 0.125, 2.750814190409515}, + {0.125, 0.25, 2.444366899981226}, + {0.125, 0.5, 2.230953804989556}, + {0.125, 1.0, 2.079441541679836}, + {0.125, 2.0, 1.961658506023452}, + {0.125, 3.0, 1.901033884207018}, + {0.125, 4.0, 1.860211889686763}, + {0.125, 5.0, 1.829440231020009}, + {0.125, 6.0, 1.804747618429637}, + {0.125, 7.0, 1.784128331226902}, + {0.125, 8.0, 1.766428754127501}, + {0.125, 9.0, 1.750924567591535}, + {0.125, 10.0, 1.7371312454592}, + {0.125, 1000.0, 1.156003642015969}, + {0.125, 1001.0, 1.155878649827818}, + {0.125, 10000.0, .8681312798751318}, + {0.25, 0.125, 2.444366899981226}, + {0.25, 0.25, 2.003680106471455}, + {0.25, 0.5, 1.657106516191482}, + {0.25, 1.0, 1.386294361119891}, + {0.25, 2.0, 1.163150809805681}, + {0.25, 3.0, 1.045367774149297}, + {0.25, 4.0, 0.965325066475761}, + {0.25, 5.0, .9047004446593261}, + {0.25, 6.0, .8559102804898941}, + {0.25, 7.0, 0.815088285969639}, + {0.25, 8.0, .7799969661583689}, + {0.25, 9.0, .7492253074916152}, + {0.25, 10.0, .7218263333035008}, + {0.25, 1000.0, -.4388225372378877}, + {0.25, 1001.0, -.4390725059930951}, + {0.25, 10000.0, -1.014553193217846}, + {0.5, 0.125, 2.230953804989556}, + {0.5, 0.25, 1.657106516191482}, + {0.5, 0.5, 1.1447298858494}, + {0.5, 1.0, .6931471805599453}, + {0.5, 2.0, .2876820724517809}, + {0.5, 3.0, .06453852113757118}, +// {0.5, 4.0, -.08961215868968714}, + {0.5, 5.0, -.2073951943460706}, + {0.5, 6.0, -.3027053741503954}, + {0.5, 7.0, -.3827480818239319}, + {0.5, 8.0, -.4517409533108833}, + {0.5, 9.0, -.5123655751273182}, + {0.5, 10.0, -.5664327963975939}, + {0.5, 1000.0, -2.881387696571577}, + {0.5, 1001.0, -2.881887571613228}, + {0.5, 10000.0, -4.032792743063396}, + {1.0, 0.125, 2.079441541679836}, + {1.0, 0.25, 1.386294361119891}, + {1.0, 0.5, .6931471805599453}, + {1.0, 1.0, 0.0}, + {1.0, 2.0, -.6931471805599453}, + {1.0, 3.0, -1.09861228866811}, + {1.0, 4.0, -1.386294361119891}, + {1.0, 5.0, -1.6094379124341}, + {1.0, 6.0, -1.791759469228055}, + {1.0, 7.0, -1.945910149055313}, + {1.0, 8.0, -2.079441541679836}, + {1.0, 9.0, -2.19722457733622}, + {1.0, 10.0, -2.302585092994046}, + {1.0, 1000.0, -6.907755278982137}, + {1.0, 1001.0, -6.90875477931522}, + {1.0, 10000.0, -9.210340371976184}, + {2.0, 0.125, 1.961658506023452}, + {2.0, 0.25, 1.163150809805681}, + {2.0, 0.5, .2876820724517809}, + {2.0, 1.0, -.6931471805599453}, + {2.0, 2.0, -1.791759469228055}, + {2.0, 3.0, -2.484906649788}, + {2.0, 4.0, -2.995732273553991}, + {2.0, 5.0, -3.401197381662155}, + {2.0, 6.0, -3.737669618283368}, + {2.0, 7.0, -4.02535169073515}, + {2.0, 8.0, -4.276666119016055}, + {2.0, 9.0, -4.499809670330265}, + {2.0, 10.0, -4.700480365792417}, + {2.0, 1000.0, -13.81651005829736}, + {2.0, 1001.0, -13.81850806096003}, + {2.0, 10000.0, -18.4207807389527}, + {3.0, 0.125, 1.901033884207018}, + {3.0, 0.25, 1.045367774149297}, + {3.0, 0.5, .06453852113757118}, + {3.0, 1.0, -1.09861228866811}, + {3.0, 2.0, -2.484906649788}, + {3.0, 3.0, -3.401197381662155}, + {3.0, 4.0, -4.0943445622221}, + {3.0, 5.0, -4.653960350157523}, + {3.0, 6.0, -5.123963979403259}, + {3.0, 7.0, -5.529429087511423}, + {3.0, 8.0, -5.886104031450156}, + {3.0, 9.0, -6.20455776256869}, + {3.0, 10.0, -6.492239835020471}, + {3.0, 1000.0, -20.03311615938222}, + {3.0, 1001.0, -20.03611166836202}, + {3.0, 10000.0, -26.9381739103716}, + {4.0, 0.125, 1.860211889686763}, + {4.0, 0.25, 0.965325066475761}, +// {4.0, 0.5, -.08961215868968714}, + {4.0, 1.0, -1.386294361119891}, + {4.0, 2.0, -2.995732273553991}, + {4.0, 3.0, -4.0943445622221}, + {4.0, 4.0, -4.941642422609304}, + {4.0, 5.0, -5.634789603169249}, + {4.0, 6.0, -6.222576268071369}, + {4.0, 7.0, -6.733401891837359}, + {4.0, 8.0, -7.185387015580416}, + {4.0, 9.0, -7.590852123688581}, + {4.0, 10.0, -7.958576903813898}, + {4.0, 1000.0, -25.84525465867605}, + {4.0, 1001.0, -25.84924667994559}, + {4.0, 10000.0, -35.05020194868867}, + {5.0, 0.125, 1.829440231020009}, + {5.0, 0.25, .9047004446593261}, + {5.0, 0.5, -.2073951943460706}, + {5.0, 1.0, -1.6094379124341}, + {5.0, 2.0, -3.401197381662155}, + {5.0, 3.0, -4.653960350157523}, + {5.0, 4.0, -5.634789603169249}, + {5.0, 5.0, -6.445719819385578}, + {5.0, 6.0, -7.138866999945524}, + {5.0, 7.0, -7.745002803515839}, + {5.0, 8.0, -8.283999304248526}, + {5.0, 9.0, -8.769507120030227}, + {5.0, 10.0, -9.211339872309265}, + {5.0, 1000.0, -31.37070759780783}, + {5.0, 1001.0, -31.37569513931887}, + {5.0, 10000.0, -42.87464787956629}, + {6.0, 0.125, 1.804747618429637}, + {6.0, 0.25, .8559102804898941}, + {6.0, 0.5, -.3027053741503954}, + {6.0, 1.0, -1.791759469228055}, + {6.0, 2.0, -3.737669618283368}, + {6.0, 3.0, -5.123963979403259}, + {6.0, 4.0, -6.222576268071369}, + {6.0, 5.0, -7.138866999945524}, + {6.0, 6.0, -7.927324360309794}, + {6.0, 7.0, -8.620471540869739}, + {6.0, 8.0, -9.239510749275963}, + {6.0, 9.0, -9.799126537211386}, + {6.0, 10.0, -10.30995216097738}, + {6.0, 1000.0, -36.67401250586691}, + {6.0, 1001.0, -36.67999457754446}, + {6.0, 10000.0, -50.47605021415003}, + {7.0, 0.125, 1.784128331226902}, + {7.0, 0.25, 0.815088285969639}, + {7.0, 0.5, -.3827480818239319}, + {7.0, 1.0, -1.945910149055313}, + {7.0, 2.0, -4.02535169073515}, + {7.0, 3.0, -5.529429087511423}, + {7.0, 4.0, -6.733401891837359}, + {7.0, 5.0, -7.745002803515839}, + {7.0, 6.0, -8.620471540869739}, + {7.0, 7.0, -9.39366142910322}, + {7.0, 8.0, -10.08680860966317}, + {7.0, 9.0, -10.71541726908554}, + {7.0, 10.0, -11.2907814139891}, + {7.0, 1000.0, -41.79599038729854}, + {7.0, 1001.0, -41.80296600103496}, + {7.0, 10000.0, -57.89523093697012}, + {8.0, 0.125, 1.766428754127501}, + {8.0, 0.25, .7799969661583689}, + {8.0, 0.5, -.4517409533108833}, + {8.0, 1.0, -2.079441541679836}, + {8.0, 2.0, -4.276666119016055}, + {8.0, 3.0, -5.886104031450156}, + {8.0, 4.0, -7.185387015580416}, + {8.0, 5.0, -8.283999304248526}, + {8.0, 6.0, -9.239510749275963}, + {8.0, 7.0, -10.08680860966317}, + {8.0, 8.0, -10.84894866171006}, + {8.0, 9.0, -11.54209584227001}, + {8.0, 10.0, -12.17808460899001}, + {8.0, 1000.0, -46.76481113096179}, + {8.0, 1001.0, -46.77277930061096}, + {8.0, 10000.0, -65.16036091500527}, + {9.0, 0.125, 1.750924567591535}, + {9.0, 0.25, .7492253074916152}, + {9.0, 0.5, -.5123655751273182}, + {9.0, 1.0, -2.19722457733622}, + {9.0, 2.0, -4.499809670330265}, + {9.0, 3.0, -6.20455776256869}, + {9.0, 4.0, -7.590852123688581}, + {9.0, 5.0, -8.769507120030227}, + {9.0, 6.0, -9.799126537211386}, + {9.0, 7.0, -10.71541726908554}, + {9.0, 8.0, -11.54209584227001}, + {9.0, 9.0, -12.29586764464639}, + {9.0, 10.0, -12.98901482520633}, + {9.0, 1000.0, -51.60109303791327}, + {9.0, 1001.0, -51.61005277928474}, + {9.0, 10000.0, -72.29205942547217}, + {10.0, 0.125, 1.7371312454592}, + {10.0, 0.25, .7218263333035008}, + {10.0, 0.5, -.5664327963975939}, + {10.0, 1.0, -2.302585092994046}, + {10.0, 2.0, -4.700480365792417}, + {10.0, 3.0, -6.492239835020471}, + {10.0, 4.0, -7.958576903813898}, + {10.0, 5.0, -9.211339872309265}, + {10.0, 6.0, -10.30995216097738}, + {10.0, 7.0, -11.2907814139891}, + {10.0, 8.0, -12.17808460899001}, + {10.0, 9.0, -12.98901482520633}, + {10.0, 10.0, -13.73622922703655}, + {10.0, 1000.0, -56.32058348093065}, + {10.0, 1001.0, -56.33053381178382}, + {10.0, 10000.0, -79.30607481535498}, + {1000.0, 0.125, 1.156003642015969}, + {1000.0, 0.25, -.4388225372378877}, + {1000.0, 0.5, -2.881387696571577}, + {1000.0, 1.0, -6.907755278982137}, + {1000.0, 2.0, -13.81651005829736}, + {1000.0, 3.0, -20.03311615938222}, + {1000.0, 4.0, -25.84525465867605}, + {1000.0, 5.0, -31.37070759780783}, + {1000.0, 6.0, -36.67401250586691}, + {1000.0, 7.0, -41.79599038729854}, + {1000.0, 8.0, -46.76481113096179}, + {1000.0, 9.0, -51.60109303791327}, + {1000.0, 10.0, -56.32058348093065}, + {1000.0, 1000.0, -1388.482601635902}, + {1000.0, 1001.0, -1389.175748816462}, + {1000.0, 10000.0, -3353.484270767097}, + {1001.0, 0.125, 1.155878649827818}, + {1001.0, 0.25, -.4390725059930951}, + {1001.0, 0.5, -2.881887571613228}, + {1001.0, 1.0, -6.90875477931522}, + {1001.0, 2.0, -13.81850806096003}, + {1001.0, 3.0, -20.03611166836202}, + {1001.0, 4.0, -25.84924667994559}, + {1001.0, 5.0, -31.37569513931887}, + {1001.0, 6.0, -36.67999457754446}, + {1001.0, 7.0, -41.80296600103496}, + {1001.0, 8.0, -46.77277930061096}, + {1001.0, 9.0, -51.61005277928474}, + {1001.0, 10.0, -56.33053381178382}, + {1001.0, 1000.0, -1389.175748816462}, + {1001.0, 1001.0, -1389.869395872064}, + {1001.0, 10000.0, -3355.882166039895}, + {10000.0, 0.125, .8681312798751318}, + {10000.0, 0.25, -1.014553193217846}, + {10000.0, 0.5, -4.032792743063396}, + {10000.0, 1.0, -9.210340371976184}, + {10000.0, 2.0, -18.4207807389527}, + {10000.0, 3.0, -26.9381739103716}, + {10000.0, 4.0, -35.05020194868867}, + {10000.0, 5.0, -42.87464787956629}, + {10000.0, 6.0, -50.47605021415003}, + {10000.0, 7.0, -57.89523093697012}, + {10000.0, 8.0, -65.16036091500527}, + {10000.0, 9.0, -72.29205942547217}, + {10000.0, 10.0, -79.30607481535498}, + {10000.0, 1000.0, -3353.484270767097}, + {10000.0, 1001.0, -3355.882166039895}, + {10000.0, 10000.0, -13866.28325676141}, }; @Test @@ -343,128 +343,129 @@ public class LogBetaTest { Assertions.assertEquals(expected, actual, 1e-15); } + // CHECKSTYLE: stop DeclarationOrder private static final double[][] LOG_GAMMA_MINUS_LOG_GAMMA_SUM_REF = { // { 0.0 , 8.0 , 0.0 }, // { 0.0 , 9.0 , 0.0 }, - { 0.0 , 10.0 , 0.0 }, - { 0.0 , 11.0 , 0.0 }, - { 0.0 , 12.0 , 0.0 }, - { 0.0 , 13.0 , 0.0 }, - { 0.0 , 14.0 , 0.0 }, - { 0.0 , 15.0 , 0.0 }, - { 0.0 , 16.0 , 0.0 }, - { 0.0 , 17.0 , 0.0 }, - { 0.0 , 18.0 , 0.0 }, -// { 1.0 , 8.0 , - 2.079441541679836 }, -// { 1.0 , 9.0 , - 2.19722457733622 }, - { 1.0 , 10.0 , - 2.302585092994046 }, - { 1.0 , 11.0 , - 2.397895272798371 }, - { 1.0 , 12.0 , - 2.484906649788 }, - { 1.0 , 13.0 , - 2.564949357461537 }, - { 1.0 , 14.0 , - 2.639057329615258 }, - { 1.0 , 15.0 , - 2.70805020110221 }, - { 1.0 , 16.0 , - 2.772588722239781 }, - { 1.0 , 17.0 , - 2.833213344056216 }, - { 1.0 , 18.0 , - 2.890371757896165 }, -// { 2.0 , 8.0 , - 4.276666119016055 }, -// { 2.0 , 9.0 , - 4.499809670330265 }, - { 2.0 , 10.0 , - 4.700480365792417 }, - { 2.0 , 11.0 , - 4.882801922586371 }, - { 2.0 , 12.0 , - 5.049856007249537 }, - { 2.0 , 13.0 , - 5.204006687076795 }, - { 2.0 , 14.0 , - 5.347107530717468 }, - { 2.0 , 15.0 , - 5.480638923341991 }, - { 2.0 , 16.0 , - 5.605802066295998 }, - { 2.0 , 17.0 , - 5.723585101952381 }, - { 2.0 , 18.0 , - 5.834810737062605 }, -// { 3.0 , 8.0 , - 6.579251212010101 }, -// { 3.0 , 9.0 , - 6.897704943128636 }, - { 3.0 , 10.0 , - 7.185387015580416 }, - { 3.0 , 11.0 , - 7.447751280047908 }, - { 3.0 , 12.0 , - 7.688913336864796 }, - { 3.0 , 13.0 , - 7.912056888179006 }, - { 3.0 , 14.0 , - 8.11969625295725 }, - { 3.0 , 15.0 , - 8.313852267398207 }, - { 3.0 , 16.0 , - 8.496173824192162 }, - { 3.0 , 17.0 , - 8.668024081118821 }, - { 3.0 , 18.0 , - 8.830543010616596 }, -// { 4.0 , 8.0 , - 8.977146484808472 }, -// { 4.0 , 9.0 , - 9.382611592916636 }, - { 4.0 , 10.0 , - 9.750336373041954 }, - { 4.0 , 11.0 , - 10.08680860966317 }, - { 4.0 , 12.0 , - 10.39696353796701 }, - { 4.0 , 13.0 , - 10.68464561041879 }, - { 4.0 , 14.0 , - 10.95290959701347 }, - { 4.0 , 15.0 , - 11.20422402529437 }, - { 4.0 , 16.0 , - 11.4406128033586 }, - { 4.0 , 17.0 , - 11.66375635467281 }, - { 4.0 , 18.0 , - 11.87506544834002 }, -// { 5.0 , 8.0 , - 11.46205313459647 }, -// { 5.0 , 9.0 , - 11.94756095037817 }, - { 5.0 , 10.0 , - 12.38939370265721 }, - { 5.0 , 11.0 , - 12.79485881076538 }, - { 5.0 , 12.0 , - 13.16955226020679 }, - { 5.0 , 13.0 , - 13.517858954475 }, - { 5.0 , 14.0 , - 13.84328135490963 }, - { 5.0 , 15.0 , - 14.14866300446081 }, - { 5.0 , 16.0 , - 14.43634507691259 }, - { 5.0 , 17.0 , - 14.70827879239624 }, - { 5.0 , 18.0 , - 14.96610790169833 }, -// { 6.0 , 8.0 , - 14.02700249205801 }, -// { 6.0 , 9.0 , - 14.58661827999343 }, - { 6.0 , 10.0 , - 15.09744390375942 }, - { 6.0 , 11.0 , - 15.56744753300516 }, - { 6.0 , 12.0 , - 16.002765604263 }, - { 6.0 , 13.0 , - 16.40823071237117 }, - { 6.0 , 14.0 , - 16.78772033407607 }, - { 6.0 , 15.0 , - 17.14439527801481 }, - { 6.0 , 16.0 , - 17.48086751463602 }, - { 6.0 , 17.0 , - 17.79932124575455 }, - { 6.0 , 18.0 , - 18.10160211762749 }, -// { 7.0 , 8.0 , - 16.66605982167327 }, -// { 7.0 , 9.0 , - 17.29466848109564 }, - { 7.0 , 10.0 , - 17.8700326259992 }, - { 7.0 , 11.0 , - 18.40066087706137 }, - { 7.0 , 12.0 , - 18.89313736215917 }, - { 7.0 , 13.0 , - 19.35266969153761 }, - { 7.0 , 14.0 , - 19.78345260763006 }, - { 7.0 , 15.0 , - 20.18891771573823 }, - { 7.0 , 16.0 , - 20.57190996799433 }, - { 7.0 , 17.0 , - 20.9348154616837 }, - { 7.0 , 18.0 , - 21.27965594797543 }, -// { 8.0 , 8.0 , - 19.37411002277548 }, -// { 8.0 , 9.0 , - 20.06725720333542 }, - { 8.0 , 10.0 , - 20.70324597005542 }, - { 8.0 , 11.0 , - 21.29103263495754 }, - { 8.0 , 12.0 , - 21.83757634132561 }, - { 8.0 , 13.0 , - 22.3484019650916 }, - { 8.0 , 14.0 , - 22.82797504535349 }, - { 8.0 , 15.0 , - 23.27996016909654 }, - { 8.0 , 16.0 , - 23.70740418392348 }, - { 8.0 , 17.0 , - 24.11286929203165 }, - { 8.0 , 18.0 , - 24.49853177284363 }, -// { 9.0 , 8.0 , - 22.14669874501526 }, -// { 9.0 , 9.0 , - 22.90047054739164 }, - { 9.0 , 10.0 , - 23.59361772795159 }, - { 9.0 , 11.0 , - 24.23547161412398 }, - { 9.0 , 12.0 , - 24.8333086148796 }, - { 9.0 , 13.0 , - 25.39292440281502 }, - { 9.0 , 14.0 , - 25.9190174987118 }, - { 9.0 , 15.0 , - 26.41545438502569 }, - { 9.0 , 16.0 , - 26.88545801427143 }, - { 9.0 , 17.0 , - 27.33174511689985 }, - { 9.0 , 18.0 , - 27.75662831086511 }, -// { 10.0 , 8.0 , - 24.97991208907148 }, -// { 10.0 , 9.0 , - 25.7908423052878 }, - { 10.0 , 10.0 , - 26.53805670711802 }, - { 10.0 , 11.0 , - 27.23120388767797 }, - { 10.0 , 12.0 , - 27.87783105260302 }, - { 10.0 , 13.0 , - 28.48396685617334 }, - { 10.0 , 14.0 , - 29.05451171464095 }, - { 10.0 , 15.0 , - 29.59350821537364 }, - { 10.0 , 16.0 , - 30.10433383913963 }, - { 10.0 , 17.0 , - 30.58984165492133 }, - { 10.0 , 18.0 , - 31.05246517686944 }, + {0.0, 10.0, 0.0}, + {0.0, 11.0, 0.0}, + {0.0, 12.0, 0.0}, + {0.0, 13.0, 0.0}, + {0.0, 14.0, 0.0}, + {0.0, 15.0, 0.0}, + {0.0, 16.0, 0.0}, + {0.0, 17.0, 0.0}, + {0.0, 18.0, 0.0}, +// {1.0, 8.0, -2.079441541679836}, +// {1.0, 9.0, -2.19722457733622}, + {1.0, 10.0, -2.302585092994046}, + {1.0, 11.0, -2.397895272798371}, + {1.0, 12.0, -2.484906649788}, + {1.0, 13.0, -2.564949357461537}, + {1.0, 14.0, -2.639057329615258}, + {1.0, 15.0, -2.70805020110221}, + {1.0, 16.0, -2.772588722239781}, + {1.0, 17.0, -2.833213344056216}, + {1.0, 18.0, -2.890371757896165}, +// {2.0, 8.0, -4.276666119016055}, +// {2.0, 9.0, -4.499809670330265}, + {2.0, 10.0, -4.700480365792417}, + {2.0, 11.0, -4.882801922586371}, + {2.0, 12.0, -5.049856007249537}, + {2.0, 13.0, -5.204006687076795}, + {2.0, 14.0, -5.347107530717468}, + {2.0, 15.0, -5.480638923341991}, + {2.0, 16.0, -5.605802066295998}, + {2.0, 17.0, -5.723585101952381}, + {2.0, 18.0, -5.834810737062605}, +// {3.0, 8.0, -6.579251212010101}, +// {3.0, 9.0, -6.897704943128636}, + {3.0, 10.0, -7.185387015580416}, + {3.0, 11.0, -7.447751280047908}, + {3.0, 12.0, -7.688913336864796}, + {3.0, 13.0, -7.912056888179006}, + {3.0, 14.0, -8.11969625295725}, + {3.0, 15.0, -8.313852267398207}, + {3.0, 16.0, -8.496173824192162}, + {3.0, 17.0, -8.668024081118821}, + {3.0, 18.0, -8.830543010616596}, +// {4.0, 8.0, -8.977146484808472}, +// {4.0, 9.0, -9.382611592916636}, + {4.0, 10.0, -9.750336373041954}, + {4.0, 11.0, -10.08680860966317}, + {4.0, 12.0, -10.39696353796701}, + {4.0, 13.0, -10.68464561041879}, + {4.0, 14.0, -10.95290959701347}, + {4.0, 15.0, -11.20422402529437}, + {4.0, 16.0, -11.4406128033586}, + {4.0, 17.0, -11.66375635467281}, + {4.0, 18.0, -11.87506544834002}, +// {5.0, 8.0, -11.46205313459647}, +// {5.0, 9.0, -11.94756095037817}, + {5.0, 10.0, -12.38939370265721}, + {5.0, 11.0, -12.79485881076538}, + {5.0, 12.0, -13.16955226020679}, + {5.0, 13.0, -13.517858954475}, + {5.0, 14.0, -13.84328135490963}, + {5.0, 15.0, -14.14866300446081}, + {5.0, 16.0, -14.43634507691259}, + {5.0, 17.0, -14.70827879239624}, + {5.0, 18.0, -14.96610790169833}, +// {6.0, 8.0, -14.02700249205801}, +// {6.0, 9.0, -14.58661827999343}, + {6.0, 10.0, -15.09744390375942}, + {6.0, 11.0, -15.56744753300516}, + {6.0, 12.0, -16.002765604263}, + {6.0, 13.0, -16.40823071237117}, + {6.0, 14.0, -16.78772033407607}, + {6.0, 15.0, -17.14439527801481}, + {6.0, 16.0, -17.48086751463602}, + {6.0, 17.0, -17.79932124575455}, + {6.0, 18.0, -18.10160211762749}, +// {7.0, 8.0, -16.66605982167327}, +// {7.0, 9.0, -17.29466848109564}, + {7.0, 10.0, -17.8700326259992}, + {7.0, 11.0, -18.40066087706137}, + {7.0, 12.0, -18.89313736215917}, + {7.0, 13.0, -19.35266969153761}, + {7.0, 14.0, -19.78345260763006}, + {7.0, 15.0, -20.18891771573823}, + {7.0, 16.0, -20.57190996799433}, + {7.0, 17.0, -20.9348154616837}, + {7.0, 18.0, -21.27965594797543}, +// {8.0, 8.0, -19.37411002277548}, +// {8.0, 9.0, -20.06725720333542}, + {8.0, 10.0, -20.70324597005542}, + {8.0, 11.0, -21.29103263495754}, + {8.0, 12.0, -21.83757634132561}, + {8.0, 13.0, -22.3484019650916}, + {8.0, 14.0, -22.82797504535349}, + {8.0, 15.0, -23.27996016909654}, + {8.0, 16.0, -23.70740418392348}, + {8.0, 17.0, -24.11286929203165}, + {8.0, 18.0, -24.49853177284363}, +// {9.0, 8.0, -22.14669874501526}, +// {9.0, 9.0, -22.90047054739164}, + {9.0, 10.0, -23.59361772795159}, + {9.0, 11.0, -24.23547161412398}, + {9.0, 12.0, -24.8333086148796}, + {9.0, 13.0, -25.39292440281502}, + {9.0, 14.0, -25.9190174987118}, + {9.0, 15.0, -26.41545438502569}, + {9.0, 16.0, -26.88545801427143}, + {9.0, 17.0, -27.33174511689985}, + {9.0, 18.0, -27.75662831086511}, +// {10.0, 8.0, -24.97991208907148}, +// {10.0, 9.0, -25.7908423052878}, + {10.0, 10.0, -26.53805670711802}, + {10.0, 11.0, -27.23120388767797}, + {10.0, 12.0, -27.87783105260302}, + {10.0, 13.0, -28.48396685617334}, + {10.0, 14.0, -29.05451171464095}, + {10.0, 15.0, -29.59350821537364}, + {10.0, 16.0, -30.10433383913963}, + {10.0, 17.0, -30.58984165492133}, + {10.0, 18.0, -31.05246517686944}, }; private static double logGammaMinusLogGammaSum(final double a, @@ -508,142 +509,141 @@ public class LogBetaTest { } @Test - public void testLogGammaMinusLogGammaSumPrecondition1() - { + public void testLogGammaMinusLogGammaSumPrecondition1() { Assertions.assertThrows(IllegalArgumentException.class, - () -> logGammaMinusLogGammaSum(-1, 8) + () -> logGammaMinusLogGammaSum(-1, 8) ); } @Test public void testLogGammaMinusLogGammaSumPrecondition2() { Assertions.assertThrows(IllegalArgumentException.class, - () -> logGammaMinusLogGammaSum(1, 7) + () -> logGammaMinusLogGammaSum(1, 7) ); } private static final double[][] SUM_DELTA_MINUS_DELTA_SUM_REF = { - { 10.0 , 10.0 , .01249480717472882 }, - { 10.0 , 11.0 , .01193628470267385 }, - { 10.0 , 12.0 , .01148578547212797 }, - { 10.0 , 13.0 , .01111659739668398 }, - { 10.0 , 14.0 , .01080991216314295 }, - { 10.0 , 15.0 , .01055214134859758 }, - { 10.0 , 16.0 , .01033324912491747 }, - { 10.0 , 17.0 , .01014568069918883 }, - { 10.0 , 18.0 , .009983653199146491 }, - { 10.0 , 19.0 , .009842674320242729 }, - { 10.0 , 20.0 , 0.0097192081956071 }, - { 11.0 , 10.0 , .01193628470267385 }, - { 11.0 , 11.0 , .01135973290745925 }, - { 11.0 , 12.0 , .01089355537047828 }, - { 11.0 , 13.0 , .01051064829297728 }, - { 11.0 , 14.0 , 0.0101918899639826 }, - { 11.0 , 15.0 , .009923438811859604 }, - { 11.0 , 16.0 , .009695052724952705 }, - { 11.0 , 17.0 , 0.00949900745283617 }, - { 11.0 , 18.0 , .009329379874933402 }, - { 11.0 , 19.0 , 0.00918156080743147 }, - { 11.0 , 20.0 , 0.00905191635141762 }, - { 12.0 , 10.0 , .01148578547212797 }, - { 12.0 , 11.0 , .01089355537047828 }, - { 12.0 , 12.0 , .01041365883144029 }, - { 12.0 , 13.0 , .01001867865848564 }, - { 12.0 , 14.0 , 0.00968923999191334 }, - { 12.0 , 15.0 , .009411294976563555 }, - { 12.0 , 16.0 , .009174432043268762 }, - { 12.0 , 17.0 , .008970786693291802 }, - { 12.0 , 18.0 , .008794318926790865 }, - { 12.0 , 19.0 , .008640321527910711 }, - { 12.0 , 20.0 , .008505077879954796 }, - { 13.0 , 10.0 , .01111659739668398 }, - { 13.0 , 11.0 , .01051064829297728 }, - { 13.0 , 12.0 , .01001867865848564 }, - { 13.0 , 13.0 , .009613018147953376 }, - { 13.0 , 14.0 , .009274085618154277 }, - { 13.0 , 15.0 , 0.0089876637564166 }, - { 13.0 , 16.0 , .008743200745261382 }, - { 13.0 , 17.0 , .008532715206686251 }, - { 13.0 , 18.0 , .008350069108807093 }, - { 13.0 , 19.0 , .008190472517984874 }, - { 13.0 , 20.0 , .008050138630244345 }, - { 14.0 , 10.0 , .01080991216314295 }, - { 14.0 , 11.0 , 0.0101918899639826 }, - { 14.0 , 12.0 , 0.00968923999191334 }, - { 14.0 , 13.0 , .009274085618154277 }, - { 14.0 , 14.0 , .008926676241967286 }, - { 14.0 , 15.0 , .008632654302369184 }, - { 14.0 , 16.0 , .008381351102615795 }, - { 14.0 , 17.0 , .008164687232662443 }, - { 14.0 , 18.0 , .007976441942841219 }, - { 14.0 , 19.0 , .007811755112234388 }, - { 14.0 , 20.0 , .007666780069317652 }, - { 15.0 , 10.0 , .01055214134859758 }, - { 15.0 , 11.0 , .009923438811859604 }, - { 15.0 , 12.0 , .009411294976563555 }, - { 15.0 , 13.0 , 0.0089876637564166 }, - { 15.0 , 14.0 , .008632654302369184 }, - { 15.0 , 15.0 , 0.00833179217417291 }, - { 15.0 , 16.0 , .008074310643041299 }, - { 15.0 , 17.0 , .007852047581145882 }, - { 15.0 , 18.0 , .007658712051540045 }, - { 15.0 , 19.0 , .007489384065757007 }, - { 15.0 , 20.0 , .007340165635725612 }, - { 16.0 , 10.0 , .01033324912491747 }, - { 16.0 , 11.0 , .009695052724952705 }, - { 16.0 , 12.0 , .009174432043268762 }, - { 16.0 , 13.0 , .008743200745261382 }, - { 16.0 , 14.0 , .008381351102615795 }, - { 16.0 , 15.0 , .008074310643041299 }, - { 16.0 , 16.0 , .007811229919967624 }, - { 16.0 , 17.0 , .007583876618287594 }, - { 16.0 , 18.0 , .007385899933505551 }, - { 16.0 , 19.0 , .007212328560607852 }, - { 16.0 , 20.0 , .007059220321091879 }, - { 17.0 , 10.0 , .01014568069918883 }, - { 17.0 , 11.0 , 0.00949900745283617 }, - { 17.0 , 12.0 , .008970786693291802 }, - { 17.0 , 13.0 , .008532715206686251 }, - { 17.0 , 14.0 , .008164687232662443 }, - { 17.0 , 15.0 , .007852047581145882 }, - { 17.0 , 16.0 , .007583876618287594 }, - { 17.0 , 17.0 , .007351882161431358 }, - { 17.0 , 18.0 , .007149662089534654 }, - { 17.0 , 19.0 , .006972200907152378 }, - { 17.0 , 20.0 , .006815518216094137 }, - { 18.0 , 10.0 , .009983653199146491 }, - { 18.0 , 11.0 , .009329379874933402 }, - { 18.0 , 12.0 , .008794318926790865 }, - { 18.0 , 13.0 , .008350069108807093 }, - { 18.0 , 14.0 , .007976441942841219 }, - { 18.0 , 15.0 , .007658712051540045 }, - { 18.0 , 16.0 , .007385899933505551 }, - { 18.0 , 17.0 , .007149662089534654 }, - { 18.0 , 18.0 , .006943552208153373 }, - { 18.0 , 19.0 , .006762516574228829 }, - { 18.0 , 20.0 , .006602541598043117 }, - { 19.0 , 10.0 , .009842674320242729 }, - { 19.0 , 11.0 , 0.00918156080743147 }, - { 19.0 , 12.0 , .008640321527910711 }, - { 19.0 , 13.0 , .008190472517984874 }, - { 19.0 , 14.0 , .007811755112234388 }, - { 19.0 , 15.0 , .007489384065757007 }, - { 19.0 , 16.0 , .007212328560607852 }, - { 19.0 , 17.0 , .006972200907152378 }, - { 19.0 , 18.0 , .006762516574228829 }, - { 19.0 , 19.0 , .006578188655176814 }, - { 19.0 , 20.0 , .006415174623476747 }, - { 20.0 , 10.0 , 0.0097192081956071 }, - { 20.0 , 11.0 , 0.00905191635141762 }, - { 20.0 , 12.0 , .008505077879954796 }, - { 20.0 , 13.0 , .008050138630244345 }, - { 20.0 , 14.0 , .007666780069317652 }, - { 20.0 , 15.0 , .007340165635725612 }, - { 20.0 , 16.0 , .007059220321091879 }, - { 20.0 , 17.0 , .006815518216094137 }, - { 20.0 , 18.0 , .006602541598043117 }, - { 20.0 , 19.0 , .006415174623476747 }, - { 20.0 , 20.0 , .006249349445691423 }, + {10.0, 10.0, .01249480717472882}, + {10.0, 11.0, .01193628470267385}, + {10.0, 12.0, .01148578547212797}, + {10.0, 13.0, .01111659739668398}, + {10.0, 14.0, .01080991216314295}, + {10.0, 15.0, .01055214134859758}, + {10.0, 16.0, .01033324912491747}, + {10.0, 17.0, .01014568069918883}, + {10.0, 18.0, .009983653199146491}, + {10.0, 19.0, .009842674320242729}, + {10.0, 20.0, 0.0097192081956071}, + {11.0, 10.0, .01193628470267385}, + {11.0, 11.0, .01135973290745925}, + {11.0, 12.0, .01089355537047828}, + {11.0, 13.0, .01051064829297728}, + {11.0, 14.0, 0.0101918899639826}, + {11.0, 15.0, .009923438811859604}, + {11.0, 16.0, .009695052724952705}, + {11.0, 17.0, 0.00949900745283617}, + {11.0, 18.0, .009329379874933402}, + {11.0, 19.0, 0.00918156080743147}, + {11.0, 20.0, 0.00905191635141762}, + {12.0, 10.0, .01148578547212797}, + {12.0, 11.0, .01089355537047828}, + {12.0, 12.0, .01041365883144029}, + {12.0, 13.0, .01001867865848564}, + {12.0, 14.0, 0.00968923999191334}, + {12.0, 15.0, .009411294976563555}, + {12.0, 16.0, .009174432043268762}, + {12.0, 17.0, .008970786693291802}, + {12.0, 18.0, .008794318926790865}, + {12.0, 19.0, .008640321527910711}, + {12.0, 20.0, .008505077879954796}, + {13.0, 10.0, .01111659739668398}, + {13.0, 11.0, .01051064829297728}, + {13.0, 12.0, .01001867865848564}, + {13.0, 13.0, .009613018147953376}, + {13.0, 14.0, .009274085618154277}, + {13.0, 15.0, 0.0089876637564166}, + {13.0, 16.0, .008743200745261382}, + {13.0, 17.0, .008532715206686251}, + {13.0, 18.0, .008350069108807093}, + {13.0, 19.0, .008190472517984874}, + {13.0, 20.0, .008050138630244345}, + {14.0, 10.0, .01080991216314295}, + {14.0, 11.0, 0.0101918899639826}, + {14.0, 12.0, 0.00968923999191334}, + {14.0, 13.0, .009274085618154277}, + {14.0, 14.0, .008926676241967286}, + {14.0, 15.0, .008632654302369184}, + {14.0, 16.0, .008381351102615795}, + {14.0, 17.0, .008164687232662443}, + {14.0, 18.0, .007976441942841219}, + {14.0, 19.0, .007811755112234388}, + {14.0, 20.0, .007666780069317652}, + {15.0, 10.0, .01055214134859758}, + {15.0, 11.0, .009923438811859604}, + {15.0, 12.0, .009411294976563555}, + {15.0, 13.0, 0.0089876637564166}, + {15.0, 14.0, .008632654302369184}, + {15.0, 15.0, 0.00833179217417291}, + {15.0, 16.0, .008074310643041299}, + {15.0, 17.0, .007852047581145882}, + {15.0, 18.0, .007658712051540045}, + {15.0, 19.0, .007489384065757007}, + {15.0, 20.0, .007340165635725612}, + {16.0, 10.0, .01033324912491747}, + {16.0, 11.0, .009695052724952705}, + {16.0, 12.0, .009174432043268762}, + {16.0, 13.0, .008743200745261382}, + {16.0, 14.0, .008381351102615795}, + {16.0, 15.0, .008074310643041299}, + {16.0, 16.0, .007811229919967624}, + {16.0, 17.0, .007583876618287594}, + {16.0, 18.0, .007385899933505551}, + {16.0, 19.0, .007212328560607852}, + {16.0, 20.0, .007059220321091879}, + {17.0, 10.0, .01014568069918883}, + {17.0, 11.0, 0.00949900745283617}, + {17.0, 12.0, .008970786693291802}, + {17.0, 13.0, .008532715206686251}, + {17.0, 14.0, .008164687232662443}, + {17.0, 15.0, .007852047581145882}, + {17.0, 16.0, .007583876618287594}, + {17.0, 17.0, .007351882161431358}, + {17.0, 18.0, .007149662089534654}, + {17.0, 19.0, .006972200907152378}, + {17.0, 20.0, .006815518216094137}, + {18.0, 10.0, .009983653199146491}, + {18.0, 11.0, .009329379874933402}, + {18.0, 12.0, .008794318926790865}, + {18.0, 13.0, .008350069108807093}, + {18.0, 14.0, .007976441942841219}, + {18.0, 15.0, .007658712051540045}, + {18.0, 16.0, .007385899933505551}, + {18.0, 17.0, .007149662089534654}, + {18.0, 18.0, .006943552208153373}, + {18.0, 19.0, .006762516574228829}, + {18.0, 20.0, .006602541598043117}, + {19.0, 10.0, .009842674320242729}, + {19.0, 11.0, 0.00918156080743147}, + {19.0, 12.0, .008640321527910711}, + {19.0, 13.0, .008190472517984874}, + {19.0, 14.0, .007811755112234388}, + {19.0, 15.0, .007489384065757007}, + {19.0, 16.0, .007212328560607852}, + {19.0, 17.0, .006972200907152378}, + {19.0, 18.0, .006762516574228829}, + {19.0, 19.0, .006578188655176814}, + {19.0, 20.0, .006415174623476747}, + {20.0, 10.0, 0.0097192081956071}, + {20.0, 11.0, 0.00905191635141762}, + {20.0, 12.0, .008505077879954796}, + {20.0, 13.0, .008050138630244345}, + {20.0, 14.0, .007666780069317652}, + {20.0, 15.0, .007340165635725612}, + {20.0, 16.0, .007059220321091879}, + {20.0, 17.0, .006815518216094137}, + {20.0, 18.0, .006602541598043117}, + {20.0, 19.0, .006415174623476747}, + {20.0, 20.0, .006249349445691423}, }; private static double sumDeltaMinusDeltaSum(final double a, @@ -664,9 +664,8 @@ public class LogBetaTest { } catch (final InvocationTargetException e) { if (e.getTargetException() instanceof GammaException) { throw (GammaException) e.getTargetException(); - } else { - Assertions.fail(e.getTargetException().getMessage()); } + Assertions.fail(e.getTargetException().getMessage()); } return Double.NaN; @@ -696,10 +695,9 @@ public class LogBetaTest { } @Test - public void testSumDeltaMinusDeltaSumPrecondition2() - { + public void testSumDeltaMinusDeltaSumPrecondition2() { Assertions.assertThrows(IllegalArgumentException.class, - () -> sumDeltaMinusDeltaSum(10, 9) + () -> sumDeltaMinusDeltaSum(10, 9) ); } } diff --git a/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/LogGamma1pTest.java b/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/LogGamma1pTest.java index 5aead6d..33ac6ad 100644 --- a/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/LogGamma1pTest.java +++ b/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/LogGamma1pTest.java @@ -24,23 +24,23 @@ import org.junit.jupiter.api.Test; */ public class LogGamma1pTest { private static final double[][] LOG_GAMMA1P_REF = { - { - 0.5 , .5723649429247001 }, - { - 0.375 , .3608294954889402 }, - { - 0.25 , .2032809514312954 }, - { - 0.125 , .08585870722533433 }, - { 0.0 , 0.0 }, - { 0.125 , - .06002318412603958 }, - { 0.25 , - .09827183642181316 }, - { 0.375 , - .1177552707410788 }, - { 0.5 , - .1207822376352452 }, - { 0.625 , - .1091741337567954 }, - { 0.75 , - .08440112102048555 }, - { 0.875 , - 0.0476726853991883 }, - { 1.0 , 0.0 }, - { 1.125 , .05775985153034387 }, - { 1.25 , .1248717148923966 }, - { 1.375 , .2006984603774558 }, - { 1.5 , .2846828704729192 }, + {-0.5, .5723649429247001}, + {-0.375, .3608294954889402}, + {-0.25, .2032809514312954}, + {-0.125, .08585870722533433}, + {0.0, 0.0}, + {0.125, -.06002318412603958}, + {0.25, -.09827183642181316}, + {0.375, -.1177552707410788}, + {0.5, -.1207822376352452}, + {0.625, -.1091741337567954}, + {0.75, -.08440112102048555}, + {0.875, -0.0476726853991883}, + {1.0, 0.0}, + {1.125, .05775985153034387}, + {1.25, .1248717148923966}, + {1.375, .2006984603774558}, + {1.5, .2846828704729192}, }; @Test @@ -59,14 +59,14 @@ public class LogGamma1pTest { @Test public void testLogGamma1pPrecondition1() { Assertions.assertThrows(GammaException.class, - () -> LogGamma1p.value(-0.51) + () -> LogGamma1p.value(-0.51) ); } @Test public void testLogGamma1pPrecondition2() { Assertions.assertThrows(GammaException.class, - () -> LogGamma1p.value(1.51) + () -> LogGamma1p.value(1.51) ); } } diff --git a/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/LogGammaSumTest.java b/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/LogGammaSumTest.java index 0e6eb9d..9bba2b0 100644 --- a/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/LogGammaSumTest.java +++ b/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/LogGammaSumTest.java @@ -45,87 +45,87 @@ public class LogGammaSumTest { * </pre> */ private static final double[][] LOG_GAMMA_SUM_REF = { - { 1.0 , 1.0 , 0.0 }, - { 1.0 , 1.125 , .05775985153034387 }, - { 1.0 , 1.25 , .1248717148923966 }, - { 1.0 , 1.375 , .2006984603774558 }, - { 1.0 , 1.5 , .2846828704729192 }, - { 1.0 , 1.625 , .3763336820249054 }, - { 1.0 , 1.75 , .4752146669149371 }, - { 1.0 , 1.875 , .5809359740231859 }, - { 1.0 , 2.0 , .6931471805599453 }, - { 1.125 , 1.0 , .05775985153034387 }, - { 1.125 , 1.125 , .1248717148923966 }, - { 1.125 , 1.25 , .2006984603774558 }, - { 1.125 , 1.375 , .2846828704729192 }, - { 1.125 , 1.5 , .3763336820249054 }, - { 1.125 , 1.625 , .4752146669149371 }, - { 1.125 , 1.75 , .5809359740231859 }, - { 1.125 , 1.875 , .6931471805599453 }, - { 1.125 , 2.0 , 0.811531653906724 }, - { 1.25 , 1.0 , .1248717148923966 }, - { 1.25 , 1.125 , .2006984603774558 }, - { 1.25 , 1.25 , .2846828704729192 }, - { 1.25 , 1.375 , .3763336820249054 }, - { 1.25 , 1.5 , .4752146669149371 }, - { 1.25 , 1.625 , .5809359740231859 }, - { 1.25 , 1.75 , .6931471805599453 }, - { 1.25 , 1.875 , 0.811531653906724 }, - { 1.25 , 2.0 , .9358019311087253 }, - { 1.375 , 1.0 , .2006984603774558 }, - { 1.375 , 1.125 , .2846828704729192 }, - { 1.375 , 1.25 , .3763336820249054 }, - { 1.375 , 1.375 , .4752146669149371 }, - { 1.375 , 1.5 , .5809359740231859 }, - { 1.375 , 1.625 , .6931471805599453 }, - { 1.375 , 1.75 , 0.811531653906724 }, - { 1.375 , 1.875 , .9358019311087253 }, - { 1.375 , 2.0 , 1.06569589786406 }, - { 1.5 , 1.0 , .2846828704729192 }, - { 1.5 , 1.125 , .3763336820249054 }, - { 1.5 , 1.25 , .4752146669149371 }, - { 1.5 , 1.375 , .5809359740231859 }, - { 1.5 , 1.5 , .6931471805599453 }, - { 1.5 , 1.625 , 0.811531653906724 }, - { 1.5 , 1.75 , .9358019311087253 }, - { 1.5 , 1.875 , 1.06569589786406 }, - { 1.5 , 2.0 , 1.200973602347074 }, - { 1.625 , 1.0 , .3763336820249054 }, - { 1.625 , 1.125 , .4752146669149371 }, - { 1.625 , 1.25 , .5809359740231859 }, - { 1.625 , 1.375 , .6931471805599453 }, - { 1.625 , 1.5 , 0.811531653906724 }, - { 1.625 , 1.625 , .9358019311087253 }, - { 1.625 , 1.75 , 1.06569589786406 }, - { 1.625 , 1.875 , 1.200973602347074 }, - { 1.625 , 2.0 , 1.341414578068493 }, - { 1.75 , 1.0 , .4752146669149371 }, - { 1.75 , 1.125 , .5809359740231859 }, - { 1.75 , 1.25 , .6931471805599453 }, - { 1.75 , 1.375 , 0.811531653906724 }, - { 1.75 , 1.5 , .9358019311087253 }, - { 1.75 , 1.625 , 1.06569589786406 }, - { 1.75 , 1.75 , 1.200973602347074 }, - { 1.75 , 1.875 , 1.341414578068493 }, - { 1.75 , 2.0 , 1.486815578593417 }, - { 1.875 , 1.0 , .5809359740231859 }, - { 1.875 , 1.125 , .6931471805599453 }, - { 1.875 , 1.25 , 0.811531653906724 }, - { 1.875 , 1.375 , .9358019311087253 }, - { 1.875 , 1.5 , 1.06569589786406 }, - { 1.875 , 1.625 , 1.200973602347074 }, - { 1.875 , 1.75 , 1.341414578068493 }, - { 1.875 , 1.875 , 1.486815578593417 }, - { 1.875 , 2.0 , 1.6369886482725 }, - { 2.0 , 1.0 , .6931471805599453 }, - { 2.0 , 1.125 , 0.811531653906724 }, - { 2.0 , 1.25 , .9358019311087253 }, - { 2.0 , 1.375 , 1.06569589786406 }, - { 2.0 , 1.5 , 1.200973602347074 }, - { 2.0 , 1.625 , 1.341414578068493 }, - { 2.0 , 1.75 , 1.486815578593417 }, - { 2.0 , 1.875 , 1.6369886482725 }, - { 2.0 , 2.0 , 1.791759469228055 }, + {1.0, 1.0, 0.0}, + {1.0, 1.125, .05775985153034387}, + {1.0, 1.25, .1248717148923966}, + {1.0, 1.375, .2006984603774558}, + {1.0, 1.5, .2846828704729192}, + {1.0, 1.625, .3763336820249054}, + {1.0, 1.75, .4752146669149371}, + {1.0, 1.875, .5809359740231859}, + {1.0, 2.0, .6931471805599453}, + {1.125, 1.0, .05775985153034387}, + {1.125, 1.125, .1248717148923966}, + {1.125, 1.25, .2006984603774558}, + {1.125, 1.375, .2846828704729192}, + {1.125, 1.5, .3763336820249054}, + {1.125, 1.625, .4752146669149371}, + {1.125, 1.75, .5809359740231859}, + {1.125, 1.875, .6931471805599453}, + {1.125, 2.0, 0.811531653906724}, + {1.25, 1.0, .1248717148923966}, + {1.25, 1.125, .2006984603774558}, + {1.25, 1.25, .2846828704729192}, + {1.25, 1.375, .3763336820249054}, + {1.25, 1.5, .4752146669149371}, + {1.25, 1.625, .5809359740231859}, + {1.25, 1.75, .6931471805599453}, + {1.25, 1.875, 0.811531653906724}, + {1.25, 2.0, .9358019311087253}, + {1.375, 1.0, .2006984603774558}, + {1.375, 1.125, .2846828704729192}, + {1.375, 1.25, .3763336820249054}, + {1.375, 1.375, .4752146669149371}, + {1.375, 1.5, .5809359740231859}, + {1.375, 1.625, .6931471805599453}, + {1.375, 1.75, 0.811531653906724}, + {1.375, 1.875, .9358019311087253}, + {1.375, 2.0, 1.06569589786406}, + {1.5, 1.0, .2846828704729192}, + {1.5, 1.125, .3763336820249054}, + {1.5, 1.25, .4752146669149371}, + {1.5, 1.375, .5809359740231859}, + {1.5, 1.5, .6931471805599453}, + {1.5, 1.625, 0.811531653906724}, + {1.5, 1.75, .9358019311087253}, + {1.5, 1.875, 1.06569589786406}, + {1.5, 2.0, 1.200973602347074}, + {1.625, 1.0, .3763336820249054}, + {1.625, 1.125, .4752146669149371}, + {1.625, 1.25, .5809359740231859}, + {1.625, 1.375, .6931471805599453}, + {1.625, 1.5, 0.811531653906724}, + {1.625, 1.625, .9358019311087253}, + {1.625, 1.75, 1.06569589786406}, + {1.625, 1.875, 1.200973602347074}, + {1.625, 2.0, 1.341414578068493}, + {1.75, 1.0, .4752146669149371}, + {1.75, 1.125, .5809359740231859}, + {1.75, 1.25, .6931471805599453}, + {1.75, 1.375, 0.811531653906724}, + {1.75, 1.5, .9358019311087253}, + {1.75, 1.625, 1.06569589786406}, + {1.75, 1.75, 1.200973602347074}, + {1.75, 1.875, 1.341414578068493}, + {1.75, 2.0, 1.486815578593417}, + {1.875, 1.0, .5809359740231859}, + {1.875, 1.125, .6931471805599453}, + {1.875, 1.25, 0.811531653906724}, + {1.875, 1.375, .9358019311087253}, + {1.875, 1.5, 1.06569589786406}, + {1.875, 1.625, 1.200973602347074}, + {1.875, 1.75, 1.341414578068493}, + {1.875, 1.875, 1.486815578593417}, + {1.875, 2.0, 1.6369886482725}, + {2.0, 1.0, .6931471805599453}, + {2.0, 1.125, 0.811531653906724}, + {2.0, 1.25, .9358019311087253}, + {2.0, 1.375, 1.06569589786406}, + {2.0, 1.5, 1.200973602347074}, + {2.0, 1.625, 1.341414578068493}, + {2.0, 1.75, 1.486815578593417}, + {2.0, 1.875, 1.6369886482725}, + {2.0, 2.0, 1.791759469228055}, }; @Test @@ -154,21 +154,21 @@ public class LogGammaSumTest { @Test public void testLogGammaSumPrecondition2() { Assertions.assertThrows(IllegalArgumentException.class, - () -> LogGammaSum.value(3, 1) + () -> LogGammaSum.value(3, 1) ); } @Test public void testLogGammaSumPrecondition3() { Assertions.assertThrows(IllegalArgumentException.class, - () -> LogGammaSum.value(1, 0) + () -> LogGammaSum.value(1, 0) ); } @Test public void testLogGammaSumPrecondition4() { Assertions.assertThrows(IllegalArgumentException.class, - () -> LogGammaSum.value(1, 3) + () -> LogGammaSum.value(1, 3) ); } } diff --git a/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/LogGammaTest.java b/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/LogGammaTest.java index be6496e..698d8e8 100644 --- a/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/LogGammaTest.java +++ b/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/LogGammaTest.java @@ -23,26 +23,6 @@ import org.junit.jupiter.api.Test; * Tests for {@link LogGamma}. */ public class LogGammaTest { - @Test - public void testLogGammaNan() { - testLogGamma(Double.NaN, Double.NaN); - } - - @Test - public void testLogGammaNegative() { - testLogGamma(Double.NaN, -1.0); - } - - @Test - public void testLogGammaZero() { - testLogGamma(Double.NaN, 0.0); - } - - @Test - public void testLogGammaPositive() { - testLogGamma(0.6931471805599457, 3.0); - } - /** * Reference data for the {@link Gamma#logGamma(double)} function. This data * was generated with the following <a @@ -61,141 +41,161 @@ public class LogGammaTest { * </pre> */ private static final double[][] LOG_GAMMA_REF = { - { 0.125 , 2.019418357553796 }, - { 0.25 , 1.288022524698077 }, - { 0.375 , .8630739822706475 }, - { 0.5 , .5723649429247001 }, - { 0.625 , .3608294954889402 }, - { 0.75 , .2032809514312954 }, - { 0.875 , .08585870722533433 }, - { 0.890625 , .07353860936979656 }, - { 0.90625 , .06169536624059108 }, - { 0.921875 , .05031670080005688 }, - { 0.9375 , 0.0393909017345823 }, - { 0.953125 , .02890678734595923 }, - { 0.96875 , .01885367233441289 }, - { 0.984375 , .009221337197578781 }, - { 1.0 , 0.0 }, - { 1.015625 , - 0.00881970970573307 }, - { 1.03125 , - .01724677500176807 }, - { 1.046875 , - .02528981394675729 }, - { 1.0625 , - .03295710029357782 }, - { 1.078125 , - .04025658272400143 }, - { 1.09375 , - .04719590272716985 }, - { 1.109375 , - .05378241123619192 }, - { 1.125 , - .06002318412603958 }, - { 1.25 , - .09827183642181316 }, - { 1.375 , - .1177552707410788 }, - { 1.5 , - .1207822376352452 }, - { 1.625 , - .1091741337567954 }, - { 1.75 , - .08440112102048555 }, - { 1.875 , - 0.0476726853991883 }, - { 1.890625 , - .04229320615532515 }, - { 1.90625 , - .03674470657266143 }, - { 1.921875 , - .03102893865389552 }, - { 1.9375 , - .02514761940298887 }, - { 1.953125 , - .01910243184040138 }, - { 1.96875 , - .01289502598016741 }, - { 1.984375 , - .006527019770560387 }, - { 2.0 , 0.0 }, - { 2.015625 , .006684476830232185 }, - { 2.03125 , .01352488366498562 }, - { 2.046875 , .02051972208453692 }, - { 2.0625 , .02766752152285702 }, - { 2.078125 , 0.0349668385135861 }, - { 2.09375 , .04241625596251728 }, - { 2.109375 , .05001438244545164 }, - { 2.125 , .05775985153034387 }, - { 2.25 , .1248717148923966 }, - { 2.375 , .2006984603774558 }, - { 2.5 , .2846828704729192 }, - { 2.625 , .3763336820249054 }, - { 2.75 , .4752146669149371 }, - { 2.875 , .5809359740231859 }, - { 2.890625 , .5946142560817441 }, - { 2.90625 , .6083932548009232 }, - { 2.921875 , .6222723333588501 }, - { 2.9375 , .6362508628423761 }, - { 2.953125 , .6503282221022278 }, - { 2.96875 , .6645037976116387 }, - { 2.984375 , 0.678776983328359 }, - { 3.0 , .6931471805599453 }, - { 3.015625 , .7076137978322324 }, - { 3.03125 , .7221762507608962 }, - { 3.046875 , .7368339619260166 }, - { 3.0625 , 0.751586360749556 }, - { 3.078125 , .7664328833756681 }, - { 3.09375 , .7813729725537568 }, - { 3.109375 , .7964060775242092 }, - { 3.125 , 0.811531653906724 }, - { 3.25 , .9358019311087253 }, - { 3.375 , 1.06569589786406 }, - { 3.5 , 1.200973602347074 }, - { 3.625 , 1.341414578068493 }, - { 3.75 , 1.486815578593417 }, - { 3.875 , 1.6369886482725 }, - { 4.0 , 1.791759469228055 }, - { 4.125 , 1.950965937095089 }, - { 4.25 , 2.114456927450371 }, - { 4.375 , 2.282091222188554 }, - { 4.5 , 2.453736570842442 }, - { 4.625 , 2.62926886637513 }, - { 4.75 , 2.808571418575736 }, - { 4.875 , 2.99153431107781 }, - { 5.0 , 3.178053830347946 }, - { 5.125 , 3.368031956881733 }, - { 5.25 , 3.561375910386697 }, - { 5.375 , 3.757997741998131 }, - { 5.5 , 3.957813967618717 }, - { 5.625 , 4.160745237339519 }, - { 5.75 , 4.366716036622286 }, - { 5.875 , 4.57565441552762 }, - { 6.0 , 4.787491742782046 }, - { 6.125 , 5.002162481906205 }, - { 6.25 , 5.219603986990229 }, - { 6.375 , 5.439756316011858 }, - { 6.5 , 5.662562059857142 }, - { 6.625 , 5.887966185430003 }, - { 6.75 , 6.115915891431546 }, - { 6.875 , 6.346360475557843 }, - { 7.0 , 6.579251212010101 }, - { 7.125 , 6.814541238336996 }, - { 7.25 , 7.05218545073854 }, - { 7.375 , 7.292140407056348 }, - { 7.5 , 7.534364236758733 }, - { 7.625 , 7.778816557302289 }, - { 7.75 , 8.025458396315983 }, - { 7.875 , 8.274252119110479 }, - { 8.0 , 8.525161361065415 }, - { 8.125 , 8.77815096449171 }, - { 8.25 , 9.033186919605123 }, - { 8.375 , 9.290236309282232 }, - { 8.5 , 9.549267257300997 }, - { 8.625 , 9.810248879795765 }, - { 8.75 , 10.07315123968124 }, - { 8.875 , 10.33794530382217 }, - { 9.0 , 10.60460290274525 }, - { 9.125 , 10.87309669270751 }, - { 9.25 , 11.14340011995171 }, - { 9.375 , 11.41548738699336 }, - { 9.5 , 11.68933342079727 }, - { 9.625 , 11.96491384271319 }, - { 9.75 , 12.24220494005076 }, - { 9.875 , 12.52118363918365 }, - { 10.0 , 12.80182748008147 }, - { 0.8 , .1520596783998376 }, - { 100.0 , 359.1342053695754 }, - { 1000.0 , 5905.220423209181 }, - { 10000.0 , 82099.71749644238 }, - { 100000.0 , 1051287.708973657 }, - { 1000000.0 , 1.2815504569147612e+7 }, - { 10000000.0 , 1.511809493694739e+8 }, - { 1.e+8 , 1.7420680661038346e+9 }, - { 1.e+9 , 1.972326582750371e+10 }, - { 1.e+10 , 2.202585092888106e+11 }, + {0.125, 2.019418357553796}, + {0.25, 1.288022524698077}, + {0.375, .8630739822706475}, + {0.5, .5723649429247001}, + {0.625, .3608294954889402}, + {0.75, .2032809514312954}, + {0.875, .08585870722533433}, + {0.890625, .07353860936979656}, + {0.90625, .06169536624059108}, + {0.921875, .05031670080005688}, + {0.9375, 0.0393909017345823}, + {0.953125, .02890678734595923}, + {0.96875, .01885367233441289}, + {0.984375, .009221337197578781}, + {1.0, 0.0}, + {1.015625, -0.00881970970573307}, + {1.03125, -.01724677500176807}, + {1.046875, -.02528981394675729}, + {1.0625, -.03295710029357782}, + {1.078125, -.04025658272400143}, + {1.09375, -.04719590272716985}, + {1.109375, -.05378241123619192}, + {1.125, -.06002318412603958}, + {1.25, -.09827183642181316}, + {1.375, -.1177552707410788}, + {1.5, -.1207822376352452}, + {1.625, -.1091741337567954}, + {1.75, -.08440112102048555}, + {1.875, -0.0476726853991883}, + {1.890625, -.04229320615532515}, + {1.90625, -.03674470657266143}, + {1.921875, -.03102893865389552}, + {1.9375, -.02514761940298887}, + {1.953125, -.01910243184040138}, + {1.96875, -.01289502598016741}, + {1.984375, -.006527019770560387}, + {2.0, 0.0}, + {2.015625, .006684476830232185}, + {2.03125, .01352488366498562}, + {2.046875, .02051972208453692}, + {2.0625, .02766752152285702}, + {2.078125, 0.0349668385135861}, + {2.09375, .04241625596251728}, + {2.109375, .05001438244545164}, + {2.125, .05775985153034387}, + {2.25, .1248717148923966}, + {2.375, .2006984603774558}, + {2.5, .2846828704729192}, + {2.625, .3763336820249054}, + {2.75, .4752146669149371}, + {2.875, .5809359740231859}, + {2.890625, .5946142560817441}, + {2.90625, .6083932548009232}, + {2.921875, .6222723333588501}, + {2.9375, .6362508628423761}, + {2.953125, .6503282221022278}, + {2.96875, .6645037976116387}, + {2.984375, 0.678776983328359}, + {3.0, .6931471805599453}, + {3.015625, .7076137978322324}, + {3.03125, .7221762507608962}, + {3.046875, .7368339619260166}, + {3.0625, 0.751586360749556}, + {3.078125, .7664328833756681}, + {3.09375, .7813729725537568}, + {3.109375, .7964060775242092}, + {3.125, 0.811531653906724}, + {3.25, .9358019311087253}, + {3.375, 1.06569589786406}, + {3.5, 1.200973602347074}, + {3.625, 1.341414578068493}, + {3.75, 1.486815578593417}, + {3.875, 1.6369886482725}, + {4.0, 1.791759469228055}, + {4.125, 1.950965937095089}, + {4.25, 2.114456927450371}, + {4.375, 2.282091222188554}, + {4.5, 2.453736570842442}, + {4.625, 2.62926886637513}, + {4.75, 2.808571418575736}, + {4.875, 2.99153431107781}, + {5.0, 3.178053830347946}, + {5.125, 3.368031956881733}, + {5.25, 3.561375910386697}, + {5.375, 3.757997741998131}, + {5.5, 3.957813967618717}, + {5.625, 4.160745237339519}, + {5.75, 4.366716036622286}, + {5.875, 4.57565441552762}, + {6.0, 4.787491742782046}, + {6.125, 5.002162481906205}, + {6.25, 5.219603986990229}, + {6.375, 5.439756316011858}, + {6.5, 5.662562059857142}, + {6.625, 5.887966185430003}, + {6.75, 6.115915891431546}, + {6.875, 6.346360475557843}, + {7.0, 6.579251212010101}, + {7.125, 6.814541238336996}, + {7.25, 7.05218545073854}, + {7.375, 7.292140407056348}, + {7.5, 7.534364236758733}, + {7.625, 7.778816557302289}, + {7.75, 8.025458396315983}, + {7.875, 8.274252119110479}, + {8.0, 8.525161361065415}, + {8.125, 8.77815096449171}, + {8.25, 9.033186919605123}, + {8.375, 9.290236309282232}, + {8.5, 9.549267257300997}, + {8.625, 9.810248879795765}, + {8.75, 10.07315123968124}, + {8.875, 10.33794530382217}, + {9.0, 10.60460290274525}, + {9.125, 10.87309669270751}, + {9.25, 11.14340011995171}, + {9.375, 11.41548738699336}, + {9.5, 11.68933342079727}, + {9.625, 11.96491384271319}, + {9.75, 12.24220494005076}, + {9.875, 12.52118363918365}, + {10.0, 12.80182748008147}, + {0.8, .1520596783998376}, + {100.0, 359.1342053695754}, + {1000.0, 5905.220423209181}, + {10000.0, 82099.71749644238}, + {100000.0, 1051287.708973657}, + {1000000.0, 1.2815504569147612e+7}, + {10000000.0, 1.511809493694739e+8}, + {1.e+8, 1.7420680661038346e+9}, + {1.e+9, 1.972326582750371e+10}, + {1.e+10, 2.202585092888106e+11}, }; @Test + public void testLogGammaNan() { + testLogGamma(Double.NaN, Double.NaN); + } + + @Test + public void testLogGammaNegative() { + testLogGamma(Double.NaN, -1.0); + } + + @Test + public void testLogGammaZero() { + testLogGamma(Double.NaN, 0.0); + } + + @Test + public void testLogGammaPositive() { + testLogGamma(0.6931471805599457, 3.0); + } + + @Test public void testLogGamma() { final int ulps = 3; for (int i = 0; i < LOG_GAMMA_REF.length; i++) { diff --git a/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/TrigammaTest.java b/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/TrigammaTest.java index bd7284f..f14fe78 100644 --- a/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/TrigammaTest.java +++ b/commons-numbers-gamma/src/test/java/org/apache/commons/numbers/gamma/TrigammaTest.java @@ -30,19 +30,19 @@ public class TrigammaTest { // // http://functions.wolfram.com/webMathematica/Evaluated.jsp?name=PolyGamma2&plottype=0&vars={%221%22,%22$i%22}&digits=20 double[] data = { - 1e-4, 1.0000000164469368793e8, - 1e-3, 1.0000016425331958690e6, - 1e-2, 10001.621213528313220, - 1e-1, 101.43329915079275882, - 1, 1.6449340668482264365, - 2, 0.64493406684822643647, - 3, 0.39493406684822643647, - 4, 0.28382295573711532536, - 5, 0.22132295573711532536, - 10, 0.10516633568168574612, - 20, 0.051270822935203119832, - 50, 0.020201333226697125806, - 100, 0.010050166663333571395 + 1e-4, 1.0000000164469368793e8, + 1e-3, 1.0000016425331958690e6, + 1e-2, 10001.621213528313220, + 1e-1, 101.43329915079275882, + 1, 1.6449340668482264365, + 2, 0.64493406684822643647, + 3, 0.39493406684822643647, + 4, 0.28382295573711532536, + 5, 0.22132295573711532536, + 10, 0.10516633568168574612, + 20, 0.051270822935203119832, + 50, 0.020201333226697125806, + 100, 0.010050166663333571395 }; for (int i = data.length - 2; i >= 0; i -= 2) { Assertions.assertEquals(data[i + 1], Trigamma.value(data[i]), eps, String.format("trigamma %.0f", data[i]));
