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Posted to commits@commons.apache.org by ah...@apache.org on 2019/12/09 23:17:46 UTC
[commons-numbers] branch master updated: Move the data from the
CReferenceTest to test resources.
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
The following commit(s) were added to refs/heads/master by this push:
new 7cbee90 Move the data from the CReferenceTest to test resources.
7cbee90 is described below
commit 7cbee90fb91da2182107aee2d3b4ff6b980a9ddf
Author: Alex Herbert <ah...@apache.org>
AuthorDate: Mon Dec 9 23:17:41 2019 +0000
Move the data from the CReferenceTest to test resources.
There are currently some cases of incorrect computations that are
commented out using a ';' character in the test data:
acos.txt:;0.5 0.0 1.0471975511965979 -0.0
acos.txt:;-0.5 -0.0 2.0943951023931953 0.0
acosh.txt:;0.5 0.0 0.0 1.0471975511965979
acosh.txt:;-0.5 -0.0 0.0 -2.0943951023931953
asinh.txt:;0.0 0.5 0.0 0.52359877559829893
atanh.txt:;1 0.0 Infinity 0.78539816339744828
---
.../commons/numbers/complex/CReferenceTest.java | 432 ++++-----------------
.../apache/commons/numbers/complex/TestUtils.java | 162 +++++---
.../src/test/resources/data/acos.txt | 243 ++++++++++++
.../src/test/resources/data/acosh.txt | 243 ++++++++++++
.../src/test/resources/data/asinh.txt | 122 ++++++
.../src/test/resources/data/atanh.txt | 122 ++++++
.../src/test/resources/data/cosh.txt | 122 ++++++
.../src/test/resources/data/divide.txt | 17 +
.../src/test/resources/data/exp.txt | 243 ++++++++++++
.../src/test/resources/data/log.txt | 243 ++++++++++++
.../src/test/resources/data/multiply.txt | 17 +
.../src/test/resources/data/pow.txt | 17 +
.../src/test/resources/data/sinh.txt | 122 ++++++
.../src/test/resources/data/sqrt.txt | 243 ++++++++++++
.../src/test/resources/data/tanh.txt | 122 ++++++
pom.xml | 3 +-
16 files changed, 2068 insertions(+), 405 deletions(-)
diff --git a/commons-numbers-complex/src/test/java/org/apache/commons/numbers/complex/CReferenceTest.java b/commons-numbers-complex/src/test/java/org/apache/commons/numbers/complex/CReferenceTest.java
index 662a972..57822b8 100644
--- a/commons-numbers-complex/src/test/java/org/apache/commons/numbers/complex/CReferenceTest.java
+++ b/commons-numbers-complex/src/test/java/org/apache/commons/numbers/complex/CReferenceTest.java
@@ -20,6 +20,7 @@ package org.apache.commons.numbers.complex;
import org.junit.jupiter.api.Assertions;
import org.junit.jupiter.api.Test;
+import java.util.List;
import java.util.function.BiFunction;
import java.util.function.Supplier;
import java.util.function.UnaryOperator;
@@ -28,13 +29,22 @@ import java.util.function.UnaryOperator;
* Tests the functions defined by the C.99 standard for complex numbers
* defined in ISO/IEC 9899, Annex G.
*
- * <p>The test data is generated from a known implementation of the standard: GNU g++.
+ * <p>The test data is generated from a known implementation of the standard
+ * and saved to the test resources data files.
*
* @see <a href="http://www.open-std.org/JTC1/SC22/WG14/www/standards">
* ISO/IEC 9899 - Programming languages - C</a>
*/
public class CReferenceTest {
- private static final double inf = Double.POSITIVE_INFINITY;
+ /**
+ * The maximum units of least precision allowed between values.
+ *
+ * <p>In the normal use case this is set to zero and ignored.
+ * It can be set to a non-zero value and it overrides the ulps values used in
+ * each test if greater in magnitude. This can be used to output a report
+ * of the ULPS between Complex and the reference data.
+ */
+ private static final long MAX_ULPS = 0;
/**
* Assert the two numbers are equal within the provided units of least precision.
@@ -49,14 +59,16 @@ public class CReferenceTest {
final long e = Double.doubleToLongBits(expected);
final long a = Double.doubleToLongBits(actual);
final long delta = Math.abs(e - a);
- if (delta > maxUlps) {
+ if (delta > Math.abs(maxUlps)) {
// DEBUG:
if (maxUlps < 0) {
// CHECKSTYLE: stop Regex
- System.out.printf("%s: %s != %s (ulps=%d)%n", msg.get(), expected, actual, delta);
+ System.out.printf("%s: expected <%s> != actual <%s> (ulps=%d)%n",
+ msg.get(), expected, actual, delta);
// CHECKSTYLE: resume Regex
} else {
- Assertions.fail(String.format("%s: %s != %s (ulps=%d)", msg.get(), expected, actual, delta));
+ Assertions.fail(String.format("%s: expected <%s> != actual <%s> (ulps=%d)",
+ msg.get(), expected, actual, delta));
}
}
}
@@ -64,434 +76,156 @@ public class CReferenceTest {
/**
* Assert the operation on the complex number is equal to the expected value.
*
- * <p>The results are are considered equal if there are no floating-point values between them.
+ * <p>The results are considered equal within the provided units of least
+ * precision. The maximum count of numbers allowed between the two values is
+ * {@code maxUlps - 1}.
*
- * @param a Real part.
- * @param b Imaginary part.
+ * @param c Input number.
* @param operation the operation
- * @param x Expected real part.
- * @param y Expected imaginary part.
+ * @param expected Expected result.
+ * @param maxUlps the maximum units of least precision between the two values
*/
- private static void assertComplex(double a, double b,
+ private static void assertComplex(Complex c,
UnaryOperator<Complex> operation,
- double x, double y) {
- assertComplex(a, b, operation, x, y, 1);
+ Complex expected, long maxUlps) {
+ final Complex z = operation.apply(c);
+ assertEquals(() -> c + ": real", expected.real(), z.real(), maxUlps);
+ assertEquals(() -> c + ": imaginary", expected.imag(), z.imag(), maxUlps);
}
/**
- * Assert the operation on the complex number is equal to the expected value.
+ * Assert the operation on the complex numbers is equal to the expected value.
*
* <p>The results are considered equal within the provided units of least
* precision. The maximum count of numbers allowed between the two values is
* {@code maxUlps - 1}.
*
- * @param a Real part.
- * @param b Imaginary part.
+ * @param c1 First number.
+ * @param c2 Second number.
* @param operation the operation
- * @param x Expected real part.
- * @param y Expected imaginary part.
+ * @param expected Expected real part.
* @param maxUlps the maximum units of least precision between the two values
*/
- private static void assertComplex(double a, double b,
- UnaryOperator<Complex> operation,
- double x, double y, long maxUlps) {
- final Complex c = Complex.ofCartesian(a, b);
- final Complex z = operation.apply(c);
- assertEquals(() -> c + ": real", x, z.getReal(), maxUlps);
- assertEquals(() -> c + ": imaginary", y, z.getImaginary(), maxUlps);
+ private static void assertComplex(Complex c1, Complex c2,
+ BiFunction<Complex, Complex, Complex> operation,
+ Complex expected, long maxUlps) {
+ final Complex z = operation.apply(c1, c2);
+ assertEquals(() -> c1 + " op " + c2 + ": real", expected.real(), z.real(), maxUlps);
+ assertEquals(() -> c1 + " op " + c2 + ": imaginary", expected.imag(), z.imag(), maxUlps);
}
/**
- * Assert the operation on the complex numbers is equal to the expected value.
+ * Assert the operation using the data loaded from test resources.
*
- * <p>The results are considered equal if there are no floating-point values between them.
- *
- * @param a Real part of first number.
- * @param b Imaginary part of first number.
- * @param c Real part of second number.
- * @param d Imaginary part of second number.
+ * @param testData Test data resource name.
* @param operation the operation
- * @param x Expected real part.
- * @param y Expected imaginary part.
+ * @param maxUlps the maximum units of least precision between the two values
*/
- private static void assertComplex(double a, double b, double c, double d,
- BiFunction<Complex, Complex, Complex> operation,
- double x, double y) {
- assertComplex(a, b, c, d, operation, x, y, 1);
+ private static void assertOperation(String testData,
+ UnaryOperator<Complex> operation, long maxUlps) {
+ final List<Complex[]> data = TestUtils.loadTestData(testData);
+ final long ulps = getTestUlps(maxUlps);
+ for (final Complex[] pair : data) {
+ assertComplex(pair[0], operation, pair[1], ulps);
+ }
}
/**
- * Assert the operation on the complex numbers is equal to the expected value.
+ * Assert the operation using the data loaded from test resources.
*
- * <p>The results are considered equal within the provided units of least
- * precision. The maximum count of numbers allowed between the two values is
- * {@code maxUlps - 1}.
- *
- * @param a Real part of first number.
- * @param b Imaginary part of first number.
- * @param c Real part of second number.
- * @param d Imaginary part of second number.
+ * @param testData Test data resource name.
* @param operation the operation
- * @param x Expected real part.
- * @param y Expected imaginary part.
* @param maxUlps the maximum units of least precision between the two values
*/
- // CHECKSTYLE: stop ParameterNumberCheck
- private static void assertComplex(double a, double b, double c, double d,
- BiFunction<Complex, Complex, Complex> operation,
- double x, double y, long maxUlps) {
- final Complex c1 = Complex.ofCartesian(a, b);
- final Complex c2 = Complex.ofCartesian(c, d);
- final Complex z = operation.apply(c1, c2);
- assertEquals(() -> c1 + " op " + c2 + ": real", x, z.getReal(), maxUlps);
- assertEquals(() -> c1 + " op " + c2 + ": imaginary", y, z.getImaginary(), maxUlps);
+ private static void assertBiOperation(String testData,
+ BiFunction<Complex, Complex, Complex> operation, long maxUlps) {
+ final List<Complex[]> data = TestUtils.loadTestData(testData);
+ final long ulps = getTestUlps(maxUlps);
+ for (final Complex[] triple : data) {
+ assertComplex(triple[0], triple[1], operation, triple[2], ulps);
+ }
+ }
+
+ /**
+ * Gets the test ulps. This uses the input value of the global setting if that is greater
+ * in magnitude.
+ *
+ * @param ulps the ulps
+ * @return the test ulps
+ */
+ private static long getTestUlps(long ulps) {
+ final long max = Math.max(Math.abs(ulps), Math.abs(MAX_ULPS));
+ // If either are negative then choose negative for debugging output
+ return (ulps | MAX_ULPS) < 0 ? -max : max;
}
@Test
public void testAcos() {
- assertComplex(-2, 0.0, Complex::acos, 3.1415926535897931, -1.3169578969248164);
- assertComplex(-2, 0.5, Complex::acos, 2.8638383970320791, -1.3618009008578467, 3);
- assertComplex(-2, 1, Complex::acos, 2.6342363503726487, -1.4693517443681854);
- assertComplex(-2, 2, Complex::acos, 2.3250454714929427, -1.7343245214879679);
- assertComplex(-1, 0.0, Complex::acos, 3.1415926535897931, -0.0);
- assertComplex(-1, 0.5, Complex::acos, 2.4667038080037869, -0.73285767597364526);
- assertComplex(-1, 1, Complex::acos, 2.2370357592874122, -1.0612750619050364, 4);
- assertComplex(-1, 2, Complex::acos, 1.997874913187373, -1.5285709194809995, 9);
- assertComplex(-0.5, 0.0, Complex::acos, 2.0943951023931953, -1.1102230246251565e-16);
- assertComplex(-0.5, 0.5, Complex::acos, 2.023074773946087, -0.53063753095251776);
- assertComplex(-0.5, 1, Complex::acos, 1.9202353896521094, -0.92613303135018232, 2);
- assertComplex(-0.5, 2, Complex::acos, 1.7918149624177808, -1.4657153519472903, 2);
- assertComplex(-0.0, 0.0, Complex::acos, 1.5707963267948966, -0.0);
- assertComplex(-0.0, 0.5, Complex::acos, 1.5707963267948966, -0.48121182505960336);
- assertComplex(-0.0, 1, Complex::acos, 1.5707963267948963, -0.88137358701954283);
- assertComplex(-0.0, 2, Complex::acos, 1.5707963267948959, -1.4436354751788099, 3);
- assertComplex(0.0, 0.0, Complex::acos, 1.5707963267948966, -0.0);
- assertComplex(0.0, 0.5, Complex::acos, 1.5707963267948966, -0.48121182505960347, 2);
- assertComplex(0.0, 1, Complex::acos, 1.5707963267948966, -0.88137358701954294);
- assertComplex(0.0, 2, Complex::acos, 1.5707963267948966, -1.4436354751788103, 2);
- assertComplex(0.5, 0.0, Complex::acos, 1.0471975511965976, -1.1102230246251565e-16);
- assertComplex(0.5, 0.5, Complex::acos, 1.1185178796437059, -0.53063753095251787);
- assertComplex(0.5, 1, Complex::acos, 1.2213572639376833, -0.92613303135018255, 2);
- assertComplex(0.5, 2, Complex::acos, 1.3497776911720127, -1.4657153519472905);
- assertComplex(1, 0.0, Complex::acos, 0.0, -0.0);
- assertComplex(1, 0.5, Complex::acos, 0.67488884558600637, -0.73285767597364526);
- assertComplex(1, 1, Complex::acos, 0.90455689430238129, -1.0612750619050355);
- assertComplex(1, 2, Complex::acos, 1.1437177404024204, -1.528570919480998, 2);
- assertComplex(2, 0.0, Complex::acos, 0.0, -1.3169578969248166);
- assertComplex(2, 0.5, Complex::acos, 0.27775425655771396, -1.3618009008578458);
- assertComplex(2, 1, Complex::acos, 0.50735630321714453, -1.4693517443681852);
- assertComplex(2, 2, Complex::acos, 0.8165471820968504, -1.7343245214879663, 7);
+ assertOperation("data/acos.txt", Complex::acos, 36);
}
@Test
public void testAcosh() {
- assertComplex(-2, 0.0, Complex::acosh, 1.3169578969248164, 3.1415926535897931);
- assertComplex(-2, 0.5, Complex::acosh, 1.3618009008578467, 2.8638383970320791, 3);
- assertComplex(-2, 1, Complex::acosh, 1.4693517443681854, 2.6342363503726487);
- assertComplex(-2, 2, Complex::acosh, 1.7343245214879679, 2.3250454714929427);
- assertComplex(-1, 0.0, Complex::acosh, 0.0, 3.1415926535897931);
- assertComplex(-1, 0.5, Complex::acosh, 0.73285767597364526, 2.4667038080037869);
- assertComplex(-1, 1, Complex::acosh, 1.0612750619050364, 2.2370357592874122, 4);
- assertComplex(-1, 2, Complex::acosh, 1.5285709194809995, 1.997874913187373, 9);
- assertComplex(-0.5, 0.0, Complex::acosh, 1.1102230246251565e-16, 2.0943951023931953);
- assertComplex(-0.5, 0.5, Complex::acosh, 0.53063753095251776, 2.023074773946087);
- assertComplex(-0.5, 1, Complex::acosh, 0.92613303135018232, 1.9202353896521094, 2);
- assertComplex(-0.5, 2, Complex::acosh, 1.4657153519472903, 1.7918149624177808, 2);
- assertComplex(-0.0, 0.0, Complex::acosh, 0.0, 1.5707963267948966);
- assertComplex(-0.0, 0.5, Complex::acosh, 0.48121182505960336, 1.5707963267948966);
- assertComplex(-0.0, 1, Complex::acosh, 0.88137358701954283, 1.5707963267948963);
- assertComplex(-0.0, 2, Complex::acosh, 1.4436354751788099, 1.5707963267948959, 3);
- assertComplex(0.0, 0.0, Complex::acosh, 0.0, 1.5707963267948966);
- assertComplex(0.0, 0.5, Complex::acosh, 0.48121182505960347, 1.5707963267948966, 2);
- assertComplex(0.0, 1, Complex::acosh, 0.88137358701954294, 1.5707963267948966);
- assertComplex(0.0, 2, Complex::acosh, 1.4436354751788103, 1.5707963267948966, 2);
- assertComplex(0.5, 0.0, Complex::acosh, 1.1102230246251565e-16, 1.0471975511965976);
- assertComplex(0.5, 0.5, Complex::acosh, 0.53063753095251787, 1.1185178796437059);
- assertComplex(0.5, 1, Complex::acosh, 0.92613303135018255, 1.2213572639376833, 2);
- assertComplex(0.5, 2, Complex::acosh, 1.4657153519472905, 1.3497776911720127);
- assertComplex(1, 0.0, Complex::acosh, 0.0, 0.0);
- assertComplex(1, 0.5, Complex::acosh, 0.73285767597364526, 0.67488884558600637);
- assertComplex(1, 1, Complex::acosh, 1.0612750619050355, 0.90455689430238129);
- assertComplex(1, 2, Complex::acosh, 1.528570919480998, 1.1437177404024204, 2);
- assertComplex(2, 0.0, Complex::acosh, 1.3169578969248166, 0.0);
- assertComplex(2, 0.5, Complex::acosh, 1.3618009008578458, 0.27775425655771396);
- assertComplex(2, 1, Complex::acosh, 1.4693517443681852, 0.50735630321714453, 7);
- assertComplex(2, 2, Complex::acosh, 1.7343245214879663, 0.8165471820968504, 7);
+ assertOperation("data/acosh.txt", Complex::acosh, 36);
}
@Test
public void testAsinh() {
// Odd function: negative real cases defined by positive real cases
- assertComplex(0.0, 0.0, Complex::asinh, 0.0, 0.0);
- assertComplex(0.0, 0.5, Complex::asinh, 1.1102230246251565e-16, 0.52359877559829893);
- assertComplex(0.0, 1, Complex::asinh, 0.0, 1.5707963267948966);
- assertComplex(0.0, 2, Complex::asinh, 1.3169578969248166, 1.5707963267948966);
- assertComplex(0.5, 0.0, Complex::asinh, 0.48121182505960347, 0.0);
- assertComplex(0.5, 0.5, Complex::asinh, 0.53063753095251787, 0.45227844715119064);
- assertComplex(0.5, 1, Complex::asinh, 0.73285767597364526, 0.8959074812088903);
- assertComplex(0.5, 2, Complex::asinh, 1.3618009008578458, 1.2930420702371828);
- assertComplex(1, 0.0, Complex::asinh, 0.88137358701954294, 0.0);
- assertComplex(1, 0.5, Complex::asinh, 0.92613303135018255, 0.34943906285721327);
- assertComplex(1, 1, Complex::asinh, 1.0612750619050357, 0.66623943249251527);
- assertComplex(1, 2, Complex::asinh, 1.4693517443681852, 1.0634400235777519);
- assertComplex(2, 0.0, Complex::asinh, 1.4436354751788103, 0.0);
- assertComplex(2, 0.5, Complex::asinh, 1.4657153519472905, 0.22101863562288387);
- assertComplex(2, 1, Complex::asinh, 1.528570919480998, 0.42707858639247614);
- assertComplex(2, 2, Complex::asinh, 1.7343245214879663, 0.75424914469804605);
+ assertOperation("data/asinh.txt", Complex::asinh, 2);
}
@Test
public void testAtanh() {
// Odd function: negative real cases defined by positive real cases
- assertComplex(0.0, 0.0, Complex::atanh, 0.0, 0.0);
- assertComplex(0.0, 0.5, Complex::atanh, 0.0, 0.46364760900080615);
- assertComplex(0.0, 1, Complex::atanh, 0.0, 0.78539816339744828);
- assertComplex(0.0, 2, Complex::atanh, 0.0, 1.1071487177940904);
- assertComplex(0.5, 0.0, Complex::atanh, 0.54930614433405489, 0.0);
- assertComplex(0.5, 0.5, Complex::atanh, 0.40235947810852513, 0.5535743588970452);
- assertComplex(0.5, 1, Complex::atanh, 0.23887786125685911, 0.84757566067082901);
- assertComplex(0.5, 2, Complex::atanh, 0.096415620202996211, 1.1265564408348223, 7);
- assertComplex(1, 0.0, Complex::atanh, inf, 0.0);
- assertComplex(1, 0.5, Complex::atanh, 0.70830333601405404, 0.90788749496088039);
- assertComplex(1, 1, Complex::atanh, 0.40235947810852513, 1.0172219678978514);
- assertComplex(1, 2, Complex::atanh, 0.17328679513998635, 1.1780972450961724);
- assertComplex(2, 0.0, Complex::atanh, 0.54930614433405489, 1.5707963267948966);
- assertComplex(2, 0.5, Complex::atanh, 0.50037000005253096, 1.4215468610018069);
- assertComplex(2, 1, Complex::atanh, 0.40235947810852513, 1.3389725222944935);
- assertComplex(2, 2, Complex::atanh, 0.23887786125685906, 1.311223269671635);
+ assertOperation("data/atanh.txt", Complex::atanh, 26);
}
@Test
public void testCosh() {
// Even function: negative real cases defined by positive real cases
- assertComplex(0.0, 0.0, Complex::cosh, 1, 0.0);
- assertComplex(0.0, 0.5, Complex::cosh, 0.87758256189037276, 0.0);
- assertComplex(0.0, 1, Complex::cosh, 0.54030230586813977, 0.0);
- assertComplex(0.0, 2, Complex::cosh, -0.41614683654714241, 0.0);
- assertComplex(0.5, 0.0, Complex::cosh, 1.1276259652063807, 0.0);
- assertComplex(0.5, 0.5, Complex::cosh, 0.9895848833999199, 0.24982639750046154);
- assertComplex(0.5, 1, Complex::cosh, 0.60925890915779424, 0.43848657989259532);
- assertComplex(0.5, 2, Complex::cosh, -0.46925797822905341, 0.473830620416407);
- assertComplex(1, 0.0, Complex::cosh, 1.5430806348152437, 0.0);
- assertComplex(1, 0.5, Complex::cosh, 1.3541806567045842, 0.5634214652309818);
- assertComplex(1, 1, Complex::cosh, 0.83373002513114913, 0.98889770576286506);
- assertComplex(1, 2, Complex::cosh, -0.64214812471551996, 1.0686074213827783);
- assertComplex(2, 0.0, Complex::cosh, 3.7621956910836314, 0.0);
- assertComplex(2, 0.5, Complex::cosh, 3.3016373329140944, 1.7388095044743164);
- assertComplex(2, 1, Complex::cosh, 2.0327230070196656, 3.0518977991517997);
- assertComplex(2, 2, Complex::cosh, -1.5656258353157435, 3.2978948363112366);
+ assertOperation("data/cosh.txt", Complex::cosh, 2);
}
@Test
public void testSinh() {
// Odd function: negative real cases defined by positive real cases
- assertComplex(0.0, 0.0, Complex::sinh, 0.0, 0.0);
- assertComplex(0.0, 0.5, Complex::sinh, 0.0, 0.47942553860420301);
- assertComplex(0.0, 1, Complex::sinh, 0.0, 0.8414709848078965);
- assertComplex(0.0, 2, Complex::sinh, -0.0, 0.90929742682568171);
- assertComplex(0.5, 0.0, Complex::sinh, 0.52109530549374738, 0.0);
- assertComplex(0.5, 0.5, Complex::sinh, 0.45730415318424927, 0.54061268571315335);
- assertComplex(0.5, 1, Complex::sinh, 0.28154899513533443, 0.94886453143716798);
- assertComplex(0.5, 2, Complex::sinh, -0.21685216292078974, 1.0253473885839877);
- assertComplex(1, 0.0, Complex::sinh, 1.1752011936438014, 0.0);
- assertComplex(1, 0.5, Complex::sinh, 1.0313360742545512, 0.73979226445601376);
- assertComplex(1, 1, Complex::sinh, 0.63496391478473613, 1.2984575814159773);
- assertComplex(1, 2, Complex::sinh, -0.48905625904129368, 1.4031192506220405);
- assertComplex(2, 0.0, Complex::sinh, 3.6268604078470186, 0.0);
- assertComplex(2, 0.5, Complex::sinh, 3.1828694483371489, 1.8036926955321817);
- assertComplex(2, 1, Complex::sinh, 1.9596010414216061, 3.1657785132161682);
- assertComplex(2, 2, Complex::sinh, -1.5093064853236156, 3.4209548611170133);
+ assertOperation("data/sinh.txt", Complex::sinh, 2);
}
@Test
public void testTanh() {
// Odd function: negative real cases defined by positive real cases
- assertComplex(0.0, 0.0, Complex::tanh, 0.0, 0.0);
- assertComplex(0.0, 0.5, Complex::tanh, 0.0, 0.54630248984379048);
- assertComplex(0.0, 1, Complex::tanh, 0.0, 1.5574077246549021);
- assertComplex(0.0, 2, Complex::tanh, 0.0, -2.1850398632615189);
- assertComplex(0.5, 0.0, Complex::tanh, 0.46211715726000974, 0.0);
- assertComplex(0.5, 0.5, Complex::tanh, 0.56408314126749848, 0.40389645531602575, 2);
- assertComplex(0.5, 1, Complex::tanh, 1.042830728344361, 0.80687741216308495);
- assertComplex(0.5, 2, Complex::tanh, 1.3212865837711918, -0.85087812114493777, 2);
- assertComplex(1, 0.0, Complex::tanh, 0.76159415595576485, 0.0);
- assertComplex(1, 0.5, Complex::tanh, 0.84296620484578311, 0.19557731006593398);
- assertComplex(1, 1, Complex::tanh, 1.0839233273386946, 0.27175258531951174);
- assertComplex(1, 2, Complex::tanh, 1.1667362572409199, -0.24345820118572523);
- assertComplex(2, 0.0, Complex::tanh, 0.9640275800758169, 0.0);
- assertComplex(2, 0.5, Complex::tanh, 0.97994084996173814, 0.030215987322877575);
- assertComplex(2, 1, Complex::tanh, 1.0147936161466335, 0.033812826079896691);
- assertComplex(2, 2, Complex::tanh, 1.0238355945704727, -0.028392952868232287);
+ assertOperation("data/tanh.txt", Complex::tanh, 34);
}
@Test
public void testExp() {
- assertComplex(-2, 0.0, Complex::exp, 0.1353352832366127, 0.0);
- assertComplex(-2, 0.5, Complex::exp, 0.11876788457694579, 0.064883191057865414);
- assertComplex(-2, 1, Complex::exp, 0.073121965598059641, 0.1138807140643681);
- assertComplex(-2, 2, Complex::exp, -0.056319349992127891, 0.12306002480577674);
- assertComplex(-1, 0.0, Complex::exp, 0.36787944117144233, 0.0);
- assertComplex(-1, 0.5, Complex::exp, 0.32284458245003306, 0.17637079922503196);
- assertComplex(-1, 1, Complex::exp, 0.19876611034641298, 0.30955987565311222);
- assertComplex(-1, 2, Complex::exp, -0.15309186567422631, 0.33451182923926226);
- assertComplex(-0.5, 0.0, Complex::exp, 0.60653065971263342, 0.0);
- assertComplex(-0.5, 0.5, Complex::exp, 0.53228073021567079, 0.29078628821269187);
- assertComplex(-0.5, 1, Complex::exp, 0.32770991402245986, 0.51037795154457277);
- assertComplex(-0.5, 2, Complex::exp, -0.25240581530826373, 0.55151676816758077);
- assertComplex(-0.0, 0.0, Complex::exp, 1, 0.0);
- assertComplex(-0.0, 0.5, Complex::exp, 0.87758256189037276, 0.47942553860420301);
- assertComplex(-0.0, 1, Complex::exp, 0.54030230586813977, 0.8414709848078965);
- assertComplex(-0.0, 2, Complex::exp, -0.41614683654714241, 0.90929742682568171);
- assertComplex(0.0, 0.0, Complex::exp, 1, 0.0);
- assertComplex(0.0, 0.5, Complex::exp, 0.87758256189037276, 0.47942553860420301);
- assertComplex(0.0, 1, Complex::exp, 0.54030230586813977, 0.8414709848078965);
- assertComplex(0.0, 2, Complex::exp, -0.41614683654714241, 0.90929742682568171);
- assertComplex(0.5, 0.0, Complex::exp, 1.6487212707001282, 0.0);
- assertComplex(0.5, 0.5, Complex::exp, 1.4468890365841693, 0.79043908321361489);
- assertComplex(0.5, 1, Complex::exp, 0.89080790429312873, 1.3873511113297634);
- assertComplex(0.5, 2, Complex::exp, -0.68611014114984314, 1.4991780090003948);
- assertComplex(1, 0.0, Complex::exp, 2.7182818284590451, 0.0);
- assertComplex(1, 0.5, Complex::exp, 2.3855167309591354, 1.3032137296869954);
- assertComplex(1, 1, Complex::exp, 1.4686939399158851, 2.2873552871788423);
- assertComplex(1, 2, Complex::exp, -1.1312043837568135, 2.4717266720048188);
- assertComplex(2, 0.0, Complex::exp, 7.3890560989306504, 0.0);
- assertComplex(2, 0.5, Complex::exp, 6.4845067812512438, 3.5425022000064983);
- assertComplex(2, 1, Complex::exp, 3.9923240484412719, 6.2176763123679679);
- assertComplex(2, 2, Complex::exp, -3.0749323206393591, 6.7188496974282499);
+ assertOperation("data/exp.txt", Complex::exp, 2);
}
@Test
public void testLog() {
- assertComplex(-2, 0.0, Complex::log, 0.69314718055994529, 3.1415926535897931);
- assertComplex(-2, 0.5, Complex::log, 0.72345949146816269, 2.8966139904629289);
- assertComplex(-2, 1, Complex::log, 0.80471895621705025, 2.677945044588987);
- assertComplex(-2, 2, Complex::log, 1.0397207708399181, 2.3561944901923448);
- assertComplex(-1, 0.0, Complex::log, 0.0, 3.1415926535897931);
- assertComplex(-1, 0.5, Complex::log, 0.11157177565710492, 2.677945044588987);
- assertComplex(-1, 1, Complex::log, 0.3465735902799727, 2.3561944901923448);
- assertComplex(-1, 2, Complex::log, 0.80471895621705025, 2.0344439357957027);
- assertComplex(-0.5, 0.0, Complex::log, -0.69314718055994529, 3.1415926535897931);
- assertComplex(-0.5, 0.5, Complex::log, -0.34657359027997259, 2.3561944901923448);
- assertComplex(-0.5, 1, Complex::log, 0.11157177565710492, 2.0344439357957027);
- assertComplex(-0.5, 2, Complex::log, 0.72345949146816269, 1.8157749899217608);
- assertComplex(-0.0, 0.0, Complex::log, -inf, 3.1415926535897931);
- assertComplex(-0.0, 0.5, Complex::log, -0.69314718055994529, 1.5707963267948966);
- assertComplex(-0.0, 1, Complex::log, 0.0, 1.5707963267948966);
- assertComplex(-0.0, 2, Complex::log, 0.69314718055994529, 1.5707963267948966);
- assertComplex(0.0, 0.0, Complex::log, -inf, 0.0);
- assertComplex(0.0, 0.5, Complex::log, -0.69314718055994529, 1.5707963267948966);
- assertComplex(0.0, 1, Complex::log, 0.0, 1.5707963267948966);
- assertComplex(0.0, 2, Complex::log, 0.69314718055994529, 1.5707963267948966);
- assertComplex(0.5, 0.0, Complex::log, -0.69314718055994529, 0.0);
- assertComplex(0.5, 0.5, Complex::log, -0.34657359027997259, 0.78539816339744828);
- assertComplex(0.5, 1, Complex::log, 0.11157177565710492, 1.1071487177940904);
- assertComplex(0.5, 2, Complex::log, 0.72345949146816269, 1.3258176636680326);
- assertComplex(1, 0.0, Complex::log, 0.0, 0.0);
- assertComplex(1, 0.5, Complex::log, 0.11157177565710492, 0.46364760900080609);
- assertComplex(1, 1, Complex::log, 0.3465735902799727, 0.78539816339744828);
- assertComplex(1, 2, Complex::log, 0.80471895621705025, 1.1071487177940904);
- assertComplex(2, 0.0, Complex::log, 0.69314718055994529, 0.0);
- assertComplex(2, 0.5, Complex::log, 0.72345949146816269, 0.24497866312686414);
- assertComplex(2, 1, Complex::log, 0.80471895621705025, 0.46364760900080609);
- assertComplex(2, 2, Complex::log, 1.0397207708399181, 0.78539816339744828);
+ assertOperation("data/log.txt", Complex::log, 3);
}
@Test
public void testSqrt() {
- // Note: When computed in polar coordinates:
- // real = (x^2 + y^2)^0.25 * cos(0.5 * atan2(y, x))
- // imag = (x^2 + y^2)^0.25 * sin(0.5 * atan2(y, x))
- // If x is positive and y is +/-0.0 atan2 returns +/-0.
- // If x is negative and y is +/-0.0 atan2 returns +/-PI.
- // This causes problems as
- // cos(0.5 * PI) = 6.123233995736766e-17
- // assert: Math.cos(Math.acos(0)) != 0.0
- // Thus polar computation will produce incorrect output when
- // there is no imaginary component and real is negative.
- // The computation should be done for real only numbers separately.
-
- // Check overflow safe.
- final double a = Double.MAX_VALUE;
- final double b = a / 4;
- Assertions.assertEquals(inf, Complex.ofCartesian(a, b).abs(), "Expected overflow");
- // Compute the expected new magnitude by expressing b as a scale factor of a:
- // (x^2 + y^2)^0.25
- // = sqrt(sqrt(a^2 + (b/a)^2 * a^2))
- // = sqrt(sqrt((1+(b/a)^2) * a^2))
- // = sqrt(sqrt((1+(b/a)^2))) * sqrt(a)
- final double newAbs = Math.sqrt(Math.sqrt(1 + (b / a) * (b / a))) * Math.sqrt(a);
- assertComplex(a, b, Complex::sqrt, newAbs * Math.cos(0.5 * Math.atan2(b, a)),
- newAbs * Math.sin(0.5 * Math.atan2(b, a)), 3);
- assertComplex(b, a, Complex::sqrt, newAbs * Math.cos(0.5 * Math.atan2(a, b)),
- newAbs * Math.sin(0.5 * Math.atan2(a, b)), 2);
-
- assertComplex(-2, 0.0, Complex::sqrt, 0, 1.4142135623730951);
- assertComplex(-2, 0.5, Complex::sqrt, 0.17543205637629397, 1.425053124063947, 5);
- assertComplex(-2, 1, Complex::sqrt, 0.3435607497225126, 1.4553466902253549, 3);
- assertComplex(-2, 2, Complex::sqrt, 0.64359425290558281, 1.5537739740300374, 2);
- assertComplex(-1, 0.0, Complex::sqrt, 0, 1);
- assertComplex(-1, 0.5, Complex::sqrt, 0.24293413587832291, 1.0290855136357462, 3);
- assertComplex(-1, 1, Complex::sqrt, 0.45508986056222739, 1.0986841134678098);
- assertComplex(-1, 2, Complex::sqrt, 0.78615137775742339, 1.2720196495140688);
- assertComplex(-0.5, 0.0, Complex::sqrt, 0, 0.70710678118654757);
- assertComplex(-0.5, 0.5, Complex::sqrt, 0.3217971264527914, 0.77688698701501868, 2);
- assertComplex(-0.5, 1, Complex::sqrt, 0.55589297025142126, 0.89945371997393353);
- assertComplex(-0.5, 2, Complex::sqrt, 0.88361553087551337, 1.1317139242778693, 2);
- assertComplex(-0.0, 0.0, Complex::sqrt, 0.0, 0.0);
- assertComplex(-0.0, 0.5, Complex::sqrt, 0.50000000000000011, 0.5);
- assertComplex(-0.0, 1, Complex::sqrt, 0.70710678118654757, 0.70710678118654746);
- assertComplex(-0.0, 2, Complex::sqrt, 1.0000000000000002, 1);
- assertComplex(0.0, 0.0, Complex::sqrt, 0.0, 0.0);
- assertComplex(0.0, 0.5, Complex::sqrt, 0.50000000000000011, 0.5);
- assertComplex(0.0, 1, Complex::sqrt, 0.70710678118654757, 0.70710678118654746);
- assertComplex(0.0, 2, Complex::sqrt, 1.0000000000000002, 1);
- assertComplex(0.5, 0.0, Complex::sqrt, 0.70710678118654757, 0.0);
- assertComplex(0.5, 0.5, Complex::sqrt, 0.77688698701501868, 0.32179712645279135);
- assertComplex(0.5, 1, Complex::sqrt, 0.89945371997393364, 0.55589297025142115);
- assertComplex(0.5, 2, Complex::sqrt, 1.1317139242778693, 0.88361553087551337);
- assertComplex(1, 0.0, Complex::sqrt, 1, 0.0);
- assertComplex(1, 0.5, Complex::sqrt, 1.0290855136357462, 0.24293413587832283);
- assertComplex(1, 1, Complex::sqrt, 1.0986841134678098, 0.45508986056222733);
- assertComplex(1, 2, Complex::sqrt, 1.272019649514069, 0.78615137775742328);
- assertComplex(2, 0.0, Complex::sqrt, 1.4142135623730951, 0.0);
- assertComplex(2, 0.5, Complex::sqrt, 1.425053124063947, 0.17543205637629383);
- assertComplex(2, 1, Complex::sqrt, 1.4553466902253549, 0.34356074972251244);
- assertComplex(2, 2, Complex::sqrt, 1.5537739740300374, 0.6435942529055827);
+ assertOperation("data/sqrt.txt", Complex::sqrt, 1);
}
@Test
public void testMultiply() {
- assertComplex(2, 3, 5, 4, Complex::multiply, -2, 23);
- assertComplex(5, 4, 2, 3, Complex::multiply, -2, 23);
- assertComplex(2, 3, -5, 4, Complex::multiply, -22, -7);
- assertComplex(-5, 4, 2, 3, Complex::multiply, -22, -7);
- assertComplex(2, 3, 5, -4, Complex::multiply, 22, 7);
- assertComplex(5, -4, 2, 3, Complex::multiply, 22, 7);
- assertComplex(2, 3, -5, -4, Complex::multiply, 2, -23);
- assertComplex(-5, -4, 2, 3, Complex::multiply, 2, -23);
+ assertBiOperation("data/multiply.txt", Complex::multiply, 0);
}
@Test
public void testDivide() {
- assertComplex(2, 3, 5, 4, Complex::divide, 0.53658536585365857, 0.17073170731707318);
- assertComplex(5, 4, 2, 3, Complex::divide, 1.6923076923076923, -0.53846153846153844);
- assertComplex(2, 3, -5, 4, Complex::divide, 0.04878048780487805, -0.56097560975609762);
- assertComplex(-5, 4, 2, 3, Complex::divide, 0.15384615384615385, 1.7692307692307692);
- assertComplex(2, 3, 5, -4, Complex::divide, -0.04878048780487805, 0.56097560975609762);
- assertComplex(5, -4, 2, 3, Complex::divide, -0.15384615384615385, -1.7692307692307692);
- assertComplex(2, 3, -5, -4, Complex::divide, -0.53658536585365857, -0.17073170731707318);
- assertComplex(-5, -4, 2, 3, Complex::divide, -1.6923076923076923, 0.53846153846153844);
+ assertBiOperation("data/divide.txt", Complex::divide, 0);
}
@Test
public void testPowComplex() {
- assertComplex(2, 3, 5, 4, Complex::pow, -9.7367145095888414, -6.9377513609299886, 2);
- assertComplex(5, 4, 2, 3, Complex::pow, 4.354910316631539, 3.2198331430252156, 8);
- assertComplex(2, 3, -5, 4, Complex::pow, 3.1452105198427317e-05, 6.8990150088148226e-06);
- assertComplex(-5, 4, 2, 3, Complex::pow, -0.011821399482548253, -0.022082334539521097);
- assertComplex(2, 3, 5, -4, Complex::pow, 30334.832969842264, -6653.9414970320349);
- assertComplex(5, -4, 2, 3, Complex::pow, -146.48661898442663, -273.63651239033993, 9);
- assertComplex(2, 3, -5, -4, Complex::pow, -0.068119398044204305, 0.048537465694561743, 2);
- assertComplex(-5, -4, 2, 3, Complex::pow, 53964.514878760994, 39899.038308625939);
+ assertBiOperation("data/pow.txt", Complex::pow, 17);
}
}
diff --git a/commons-numbers-complex/src/test/java/org/apache/commons/numbers/complex/TestUtils.java b/commons-numbers-complex/src/test/java/org/apache/commons/numbers/complex/TestUtils.java
index 17d7ac8..c1cc4a6 100644
--- a/commons-numbers-complex/src/test/java/org/apache/commons/numbers/complex/TestUtils.java
+++ b/commons-numbers-complex/src/test/java/org/apache/commons/numbers/complex/TestUtils.java
@@ -17,19 +17,22 @@
package org.apache.commons.numbers.complex;
+import java.io.BufferedReader;
import java.io.ByteArrayInputStream;
import java.io.ByteArrayOutputStream;
import java.io.IOException;
+import java.io.InputStreamReader;
import java.io.ObjectInputStream;
import java.io.ObjectOutputStream;
+import java.util.ArrayList;
+import java.util.List;
import org.apache.commons.numbers.core.Precision;
import org.junit.jupiter.api.Assertions;
/**
- * Test utilities.
- * TODO: Cleanup (remove unused and obsolete methods).
+ * Test utilities. TODO: Cleanup (remove unused and obsolete methods).
*/
public final class TestUtils {
/**
@@ -40,9 +43,9 @@ public final class TestUtils {
}
/**
- * Verifies that real and imaginary parts of the two complex arguments are exactly the
- * same as defined by {@link Double#compare(double, double)}. Also ensures that NaN /
- * infinite components match.
+ * Verifies that real and imaginary parts of the two complex arguments are
+ * exactly the same as defined by {@link Double#compare(double, double)}. Also
+ * ensures that NaN / infinite components match.
*
* @param expected the expected value
* @param actual the actual value
@@ -53,8 +56,8 @@ public final class TestUtils {
}
/**
- * Verifies that real and imaginary parts of the two complex arguments differ by at
- * most delta. Also ensures that NaN / infinite components match.
+ * Verifies that real and imaginary parts of the two complex arguments differ by
+ * at most delta. Also ensures that NaN / infinite components match.
*
* @param expected the expected value
* @param actual the actual value
@@ -66,11 +69,11 @@ public final class TestUtils {
}
/**
- * Serializes an object to a bytes array and then recovers the object from the bytes array.
- * Returns the deserialized object.
+ * Serializes an object to a bytes array and then recovers the object from the
+ * bytes array. Returns the deserialized object.
*
- * @param o object to serialize and recover
- * @return the recovered, deserialized object
+ * @param o object to serialize and recover
+ * @return the recovered, deserialized object
*/
public static Object serializeAndRecover(Object o) {
try {
@@ -91,10 +94,10 @@ public final class TestUtils {
}
/**
- * Verifies that serialization preserves equals and hashCode.
- * Serializes the object, then recovers it and checks equals and hash code.
+ * Verifies that serialization preserves equals and hashCode. Serializes the
+ * object, then recovers it and checks equals and hash code.
*
- * @param object the object to serialize and recover
+ * @param object the object to serialize and recover
*/
public static void checkSerializedEquality(Object object) {
final Object object2 = serializeAndRecover(object);
@@ -103,31 +106,29 @@ public final class TestUtils {
}
/**
- * Verifies that the relative error in actual vs. expected is less than or
- * equal to relativeError. If expected is infinite or NaN, actual must be
- * the same (NaN or infinity of the same sign).
+ * Verifies that the relative error in actual vs. expected is less than or equal
+ * to relativeError. If expected is infinite or NaN, actual must be the same
+ * (NaN or infinity of the same sign).
*
* @param expected expected value
- * @param actual observed value
- * @param relativeError maximum allowable relative error
+ * @param actual observed value
+ * @param relativeError maximum allowable relative error
*/
- public static void assertRelativelyEquals(double expected, double actual,
- double relativeError) {
+ public static void assertRelativelyEquals(double expected, double actual, double relativeError) {
assertRelativelyEquals(null, expected, actual, relativeError);
}
/**
- * Verifies that the relative error in actual vs. expected is less than or
- * equal to relativeError. If expected is infinite or NaN, actual must be
- * the same (NaN or infinity of the same sign).
+ * Verifies that the relative error in actual vs. expected is less than or equal
+ * to relativeError. If expected is infinite or NaN, actual must be the same
+ * (NaN or infinity of the same sign).
*
- * @param msg message to return with failure
+ * @param msg message to return with failure
* @param expected expected value
- * @param actual observed value
- * @param relativeError maximum allowable relative error
+ * @param actual observed value
+ * @param relativeError maximum allowable relative error
*/
- public static void assertRelativelyEquals(String msg, double expected,
- double actual, double relativeError) {
+ public static void assertRelativelyEquals(String msg, double expected, double actual, double relativeError) {
if (Double.isNaN(expected)) {
Assertions.assertTrue(Double.isNaN(actual), msg);
} else if (Double.isNaN(actual)) {
@@ -145,16 +146,15 @@ public final class TestUtils {
/**
* Fails iff values does not contain a number within epsilon of z.
*
- * @param msg message to return with failure
+ * @param msg message to return with failure
* @param values complex array to search
- * @param z value sought
- * @param epsilon tolerance
+ * @param z value sought
+ * @param epsilon tolerance
*/
- public static void assertContains(String msg, Complex[] values,
- Complex z, double epsilon) {
+ public static void assertContains(String msg, Complex[] values, Complex z, double epsilon) {
for (final Complex value : values) {
if (Precision.equals(value.getReal(), z.getReal(), epsilon) &&
- Precision.equals(value.getImaginary(), z.getImaginary(), epsilon)) {
+ Precision.equals(value.getImaginary(), z.getImaginary(), epsilon)) {
return;
}
}
@@ -165,24 +165,22 @@ public final class TestUtils {
* Fails iff values does not contain a number within epsilon of z.
*
* @param values complex array to search
- * @param z value sought
- * @param epsilon tolerance
+ * @param z value sought
+ * @param epsilon tolerance
*/
- public static void assertContains(Complex[] values,
- Complex z, double epsilon) {
+ public static void assertContains(Complex[] values, Complex z, double epsilon) {
assertContains(null, values, z, epsilon);
}
/**
* Fails iff values does not contain a number within epsilon of x.
*
- * @param msg message to return with failure
+ * @param msg message to return with failure
* @param values double array to search
* @param x value sought
- * @param epsilon tolerance
+ * @param epsilon tolerance
*/
- public static void assertContains(String msg, double[] values,
- double x, double epsilon) {
+ public static void assertContains(String msg, double[] values, double x, double epsilon) {
for (final double value : values) {
if (Precision.equals(value, x, epsilon)) {
return;
@@ -196,10 +194,9 @@ public final class TestUtils {
*
* @param values double array to search
* @param x value sought
- * @param epsilon tolerance
+ * @param epsilon tolerance
*/
- public static void assertContains(double[] values, double x,
- double epsilon) {
+ public static void assertContains(double[] values, double x, double epsilon) {
assertContains(null, values, x, epsilon);
}
@@ -243,8 +240,8 @@ public final class TestUtils {
}
/**
- * Updates observed counts of values in quartiles.
- * counts[0] <-> 1st quartile ... counts[3] <-> top quartile
+ * Updates observed counts of values in quartiles. counts[0] <-> 1st quartile
+ * ... counts[3] <-> top quartile
*/
public static void updateCounts(double value, long[] counts, double[] quartiles) {
if (value < quartiles[0]) {
@@ -259,10 +256,10 @@ public final class TestUtils {
}
/**
- * Eliminates points with zero mass from densityPoints and densityValues parallel
- * arrays. Returns the number of positive mass points and collapses the arrays so
- * that the first <returned value> elements of the input arrays represent the positive
- * mass points.
+ * Eliminates points with zero mass from densityPoints and densityValues
+ * parallel arrays. Returns the number of positive mass points and collapses the
+ * arrays so that the first <returned value> elements of the input arrays
+ * represent the positive mass points.
*/
public static int eliminateZeroMassPoints(int[] densityPoints, double[] densityValues) {
int positiveMassCount = 0;
@@ -287,6 +284,63 @@ public final class TestUtils {
}
return positiveMassCount;
}
-}
-
+ /**
+ * Load test data from resources.
+ *
+ * <p>This method can be used to load input complex numbers and the expected
+ * result after applying a function.
+ *
+ * <p>Data is assumed to be a resource available to the class loader. The data
+ * should be space delimited doubles. Each pair of doubles on a line is
+ * converted to a Complex. For example the following represents the numbers (0.5
+ * - 0 i) and (1.5 + 2 i):
+ *
+ * <pre>
+ * 0.5 -0.0 1.5 2
+ * </pre>
+ *
+ * <p>An unmatched double not part of a pair on a line will raise an
+ * AssertionError.
+ *
+ * <p>Lines starting with the {@code #} character are ignored.
+ *
+ * <p>Lines starting with the {@code ;} character are ignored but printed. This can be used
+ * to disable tests in the data file.
+ *
+ * @param name the resource name
+ * @return the list
+ */
+ public static List<Complex[]> loadTestData(String name) {
+ final List<Complex[]> data = new ArrayList<>();
+ try (BufferedReader input = new BufferedReader(
+ new InputStreamReader(Thread.currentThread().getContextClassLoader().getResourceAsStream(name)))) {
+ for (String line = input.readLine(); line != null; line = input.readLine()) {
+ // Skip comments and empty lines
+ if (line.length() == 0 || line.charAt(0) == '#') {
+ continue;
+ }
+ if (line.charAt(0) == ';') {
+ // CHECKSTYLE: stop all
+ System.out.println(line);
+ // CHECKSTYLE: resume
+ continue;
+ }
+ final String[] parts = line.split(" ");
+ if ((parts.length & 0x1) == 1) {
+ Assertions.fail("Odd count of numbers on the line: " + line);
+ }
+ final Complex[] numbers = new Complex[parts.length / 2];
+ for (int i = 0; i < parts.length; i += 2) {
+ final double a = Double.parseDouble(parts[i]);
+ final double b = Double.parseDouble(parts[i + 1]);
+ numbers[i / 2] = Complex.ofCartesian(a, b);
+ }
+ data.add(numbers);
+ }
+ } catch (NumberFormatException | IOException e) {
+ Assertions.fail("Failed to load test data: " + name, e);
+ }
+ return data;
+ }
+}
diff --git a/commons-numbers-complex/src/test/resources/data/acos.txt b/commons-numbers-complex/src/test/resources/data/acos.txt
new file mode 100644
index 0000000..f49536a
--- /dev/null
+++ b/commons-numbers-complex/src/test/resources/data/acos.txt
@@ -0,0 +1,243 @@
+# (a + b i) acos(a + b i)
+0.0 0.0 1.5707963267948966 -0.0
+0.0 0.5 1.5707963267948966 -0.48121182505960342
+0.0 1 1.5707963267948966 -0.88137358701954305
+0.0 1.5 1.5707963267948966 -1.1947632172871094
+0.0 2 1.5707963267948966 -1.4436354751788103
+0.0 2.5 1.5707963267948966 -1.6472311463710958
+0.0 3 1.5707963267948966 -1.8184464592320668
+0.0 3.5 1.5707963267948966 -1.9657204716496515
+0.0 4 1.5707963267948966 -2.0947125472611012
+0.0 4.5 1.5707963267948966 -2.2093477086153341
+0.0 5 1.5707963267948966 -2.3124383412727525
+;0.5 0.0 1.0471975511965979 -0.0
+0.5 0.5 1.1185178796437059 -0.53063753095251787
+0.5 1 1.2213572639376833 -0.92613303135018232
+0.5 1.5 1.29730903665334 -1.2264568712514059
+0.5 2 1.3497776911720125 -1.4657153519472905
+0.5 2.5 1.3867764005525824 -1.6630597397306994
+0.5 3 1.4137917320059543 -1.8301947623375088
+0.5 3.5 1.4341955764912189 -1.9747225765227623
+0.5 4 1.4500667562979073 -2.1018015246120907
+0.5 4.5 1.4627241156054056 -2.2150603624774576
+0.5 5 1.4730329474299688 -2.3171322930349234
+1 0.0 0.0 -0.0
+1 0.5 0.67488884558600648 -0.73285767597364537
+1 1 0.9045568943023814 -1.0612750619050357
+1 1.5 1.0471975511965976 -1.3169578969248166
+1 2 1.1437177404024206 -1.5285709194809984
+1 2.5 1.2123912958473235 -1.7084532853187295
+1 3 1.2631926772641855 -1.8641615441578825
+1 3.5 1.3020069925537121 -2.0009283853833404
+1 4 1.3324788649850305 -2.1225501238100715
+1 4.5 1.3569558580672694 -2.2318513527511969
+1 5 1.3770031902399644 -2.3309746530493123
+1.5 0.0 0.0 -0.96242365011920694
+1.5 0.5 0.3996390673365241 -1.0693110431581105
+1.5 1 0.66442055082015217 -1.2604751877984541
+1.5 1.5 0.8403951088416709 -1.4497343495853601
+1.5 2 0.96428480859514198 -1.6224941488715938
+1.5 2.5 1.0552478910599898 -1.7776623775066449
+1.5 3 1.1242292777231266 -1.9168395294689364
+1.5 3.5 1.1779555217781177 -2.042121664538171
+1.5 4 1.2207611557752369 -2.1555081001347598
+1.5 4.5 1.2555388691931133 -2.2587403709962968
+1.5 5 1.2842760610181159 -2.3532830725605218
+2 0.0 0.0 -1.3169578969248166
+2 0.5 0.27775425655771396 -1.3618009008578458
+2 1 0.50735630321714453 -1.4693517443681852
+2 1.5 0.68303118061099144 -1.6004100552346137
+2 2 0.81654718209685051 -1.7343245214879666
+2 2.5 0.91943293481682364 -1.8629147540260123
+2 3 1.0001435424737972 -1.9833870299165355
+2 3.5 1.0645947936207991 -2.0951644322598453
+2 4 1.1169261168317741 -2.1985730279209359
+2 4.5 1.1600678294088547 -2.294277166397185
+2 5 1.1961255219693696 -2.3830308809003258
+2.5 0.0 0.0 -1.5667992369724109
+2.5 0.5 0.21396098534132454 -1.5919125928575537
+2.5 1 0.40617281650551157 -1.6586932988564327
+2.5 1.5 0.56743361506164591 -1.7501487613175148
+2.5 2 0.69887812571442653 -1.8522660627003649
+2.5 2.5 0.80537157705837525 -1.9566101076215752
+2.5 3 0.89202761538226805 -2.0587619778850184
+2.5 3.5 0.96315759301770687 -2.156624662472399
+2.5 4 1.022146711243082 -2.2493538620214859
+2.5 4.5 1.0715883556151709 -2.3367597642493152
+2.5 5 1.1134571769983608 -2.4189821813541275
+3 0.0 0.0 -1.7627471740390861
+3 0.5 0.17464646508544929 -1.7789904938267687
+3 1 0.33770110926555247 -1.8241987021938828
+3 1.5 0.48214808473382775 -1.8902413596022003
+3 2 0.60613782238729375 -1.9686379257930964
+3 2.5 0.71099301166950957 -2.05286474223273
+3 3 0.79927813467304831 -2.1386220863162211
+3 3.5 0.87372883284394587 -2.2233202904833753
+3 4 0.93681246115571981 -2.3055090312434769
+3 4.5 0.99060472527214638 -2.3844495098256124
+3 5 1.036797257200728 -2.4598315216234345
+3.5 0.0 0.0 -1.9248473002384137
+3.5 0.5 0.14784102721070985 -1.9362874087060464
+3.5 1 0.2887698569311295 -1.9688930527223867
+3.5 1.5 0.41783334803565009 -2.0183663608257105
+3.5 2 0.53271101891681671 -2.0795673772714314
+3.5 2.5 0.63319582395480256 -2.1478728797685616
+3.5 3 0.7203103731710232 -2.2197264921337307
+3.5 3.5 0.79559870620690554 -2.292639829480557
+3.5 4 0.86070455872300777 -2.3649810177545616
+3.5 4.5 0.91716533955637225 -2.4357376718882664
+3.5 5 0.96633244050378642 -2.504321204197816
+4 0.0 0.0 -2.0634370688955608
+4 0.5 0.12832005450152423 -2.0719611994218501
+4 1 0.25217940871635341 -2.0965964572888911
+4 1.5 0.36806411482882501 -2.1348757684000321
+4 2 0.4738747779647538 -2.1835852165645639
+4 2.5 0.56884710816305495 -2.2395158625112814
+4 3 0.65317947344341798 -2.2999140408792695
+4 3.5 0.72762999925723792 -2.3626333727441886
+4 4 0.79320907467323565 -2.42610665211539
+4 4.5 0.85098534507070622 -2.4892444198251908
+4 5 0.90197975146896925 -2.5513216254756985
+4.5 0.0 0.0 -2.1846437916051089
+4.5 0.5 0.11343363023261466 -2.1912554738875611
+4.5 1 0.22381637001194821 -2.2105337024568841
+4.5 1.5 0.32859934994854589 -2.2409658207528156
+4.5 2 0.42603730470335777 -2.2804665033403291
+4.5 2.5 0.51522845682877461 -2.3267973728501672
+4.5 3 0.59596912458287687 -2.3778787412951385
+4.5 3.5 0.66854000202379782 -2.4319527481396968
+4.5 4 0.7335069086829249 -2.4876280519626373
+4.5 4.5 0.79157021909754721 -2.5438553108375843
+4.5 5 0.84346547238275327 -2.5998730688034706
+5 0.0 0.0 -2.2924316695611777
+5 0.5 0.10168821054536265 -2.2977170809810494
+5 1 0.20119507970091022 -2.3132209417695293
+5 1.5 0.2966254930338259 -2.3379654110880099
+5 2 0.38656464251987466 -2.3705485373179198
+5 2.5 0.47014034964333123 -2.4093853763583719
+5 3 0.54697458028311374 -2.4529137425028118
+5 3.5 0.61707492445882539 -2.4997285620656857
+5 4 0.68071306514378538 -2.5486455784678337
+5 4.5 0.73831846141181878 -2.5987135017717908
+5 5 0.79039774680951247 -2.6491961778064712
+-0.0 -0.0 1.5707963267948966 0.0
+-0.0 -0.5 1.5707963267948966 0.48121182505960342
+-0.0 -1 1.5707963267948966 0.88137358701954305
+-0.0 -1.5 1.5707963267948966 1.1947632172871094
+-0.0 -2 1.5707963267948966 1.4436354751788103
+-0.0 -2.5 1.5707963267948966 1.6472311463710958
+-0.0 -3 1.5707963267948966 1.8184464592320668
+-0.0 -3.5 1.5707963267948966 1.9657204716496515
+-0.0 -4 1.5707963267948966 2.0947125472611012
+-0.0 -4.5 1.5707963267948966 2.2093477086153341
+-0.0 -5 1.5707963267948966 2.3124383412727525
+;-0.5 -0.0 2.0943951023931953 0.0
+-0.5 -0.5 2.023074773946087 0.53063753095251787
+-0.5 -1 1.9202353896521098 0.92613303135018232
+-0.5 -1.5 1.8442836169364532 1.2264568712514059
+-0.5 -2 1.7918149624177806 1.4657153519472905
+-0.5 -2.5 1.7548162530372107 1.6630597397306994
+-0.5 -3 1.7278009215838388 1.8301947623375088
+-0.5 -3.5 1.7073970770985742 1.9747225765227623
+-0.5 -4 1.6915258972918858 2.1018015246120907
+-0.5 -4.5 1.6788685379843875 2.2150603624774576
+-0.5 -5 1.6685597061598243 2.3171322930349234
+-1 -0.0 3.1415926535897931 0.0
+-1 -0.5 2.4667038080037864 0.73285767597364537
+-1 -1 2.2370357592874117 1.0612750619050357
+-1 -1.5 2.0943951023931957 1.3169578969248166
+-1 -2 1.9978749131873725 1.5285709194809984
+-1 -2.5 1.9292013577424696 1.7084532853187295
+-1 -3 1.8783999763256076 1.8641615441578825
+-1 -3.5 1.839585661036081 2.0009283853833404
+-1 -4 1.8091137886047626 2.1225501238100715
+-1 -4.5 1.7846367955225237 2.2318513527511969
+-1 -5 1.7645894633498287 2.3309746530493123
+-1.5 -0.0 3.1415926535897931 0.96242365011920694
+-1.5 -0.5 2.7419535862532691 1.0693110431581105
+-1.5 -1 2.4771721027696412 1.2604751877984541
+-1.5 -1.5 2.3011975447481223 1.4497343495853601
+-1.5 -2 2.177307844994651 1.6224941488715938
+-1.5 -2.5 2.0863447625298033 1.7776623775066449
+-1.5 -3 2.0173633758666663 1.9168395294689364
+-1.5 -3.5 1.9636371318116754 2.042121664538171
+-1.5 -4 1.9208314978145562 2.1555081001347598
+-1.5 -4.5 1.8860537843966798 2.2587403709962968
+-1.5 -5 1.8573165925716772 2.3532830725605218
+-2 -0.0 3.1415926535897931 1.3169578969248166
+-2 -0.5 2.8638383970320791 1.3618009008578458
+-2 -1 2.6342363503726487 1.4693517443681852
+-2 -1.5 2.4585614729788015 1.6004100552346137
+-2 -2 2.3250454714929427 1.7343245214879666
+-2 -2.5 2.2221597187729696 1.8629147540260123
+-2 -3 2.1414491111159961 1.9833870299165355
+-2 -3.5 2.0769978599689942 2.0951644322598453
+-2 -4 2.0246665367580192 2.1985730279209359
+-2 -4.5 1.9815248241809384 2.294277166397185
+-2 -5 1.9454671316204235 2.3830308809003258
+-2.5 -0.0 3.1415926535897931 1.5667992369724109
+-2.5 -0.5 2.9276316682484684 1.5919125928575537
+-2.5 -1 2.7354198370842817 1.6586932988564327
+-2.5 -1.5 2.5741590385281472 1.7501487613175148
+-2.5 -2 2.4427145278753666 1.8522660627003649
+-2.5 -2.5 2.3362210765314178 1.9566101076215752
+-2.5 -3 2.2495650382075252 2.0587619778850184
+-2.5 -3.5 2.1784350605720864 2.156624662472399
+-2.5 -4 2.1194459423467111 2.2493538620214859
+-2.5 -4.5 2.0700042979746223 2.3367597642493152
+-2.5 -5 2.0281354765914323 2.4189821813541275
+-3 -0.0 3.1415926535897931 1.7627471740390861
+-3 -0.5 2.9669461885043438 1.7789904938267687
+-3 -1 2.8038915443242405 1.8241987021938828
+-3 -1.5 2.6594445688559656 1.8902413596022003
+-3 -2 2.5354548312024994 1.9686379257930964
+-3 -2.5 2.4305996419202835 2.05286474223273
+-3 -3 2.3423145189167447 2.1386220863162211
+-3 -3.5 2.2678638207458475 2.2233202904833753
+-3 -4 2.2047801924340735 2.3055090312434769
+-3 -4.5 2.1509879283176465 2.3844495098256124
+-3 -5 2.1047953963890649 2.4598315216234345
+-3.5 -0.0 3.1415926535897931 1.9248473002384137
+-3.5 -0.5 2.9937516263790833 1.9362874087060464
+-3.5 -1 2.8528227966586637 1.9688930527223867
+-3.5 -1.5 2.7237593055541431 2.0183663608257105
+-3.5 -2 2.6088816346729766 2.0795673772714314
+-3.5 -2.5 2.5083968296349903 2.1478728797685616
+-3.5 -3 2.4212822804187697 2.2197264921337307
+-3.5 -3.5 2.3459939473828877 2.292639829480557
+-3.5 -4 2.2808880948667856 2.3649810177545616
+-3.5 -4.5 2.224427314033421 2.4357376718882664
+-3.5 -5 2.1752602130860068 2.504321204197816
+-4 -0.0 3.1415926535897931 2.0634370688955608
+-4 -0.5 3.0132725990882689 2.0719611994218501
+-4 -1 2.8894132448734395 2.0965964572888911
+-4 -1.5 2.7735285387609681 2.1348757684000321
+-4 -2 2.6677178756250393 2.1835852165645639
+-4 -2.5 2.5727455454267383 2.2395158625112814
+-4 -3 2.4884131801463751 2.2999140408792695
+-4 -3.5 2.413962654332555 2.3626333727441886
+-4 -4 2.3483835789165575 2.42610665211539
+-4 -4.5 2.2906073085190868 2.4892444198251908
+-4 -5 2.239612902120824 2.5513216254756985
+-4.5 -0.0 3.1415926535897931 2.1846437916051089
+-4.5 -0.5 3.0281590233571785 2.1912554738875611
+-4.5 -1 2.9177762835778447 2.2105337024568841
+-4.5 -1.5 2.8129933036412473 2.2409658207528156
+-4.5 -2 2.7155553488864355 2.2804665033403291
+-4.5 -2.5 2.6263641967610187 2.3267973728501672
+-4.5 -3 2.5456235290069165 2.3778787412951385
+-4.5 -3.5 2.4730526515659954 2.4319527481396968
+-4.5 -4 2.4080857449068684 2.4876280519626373
+-4.5 -4.5 2.3500224344922458 2.5438553108375843
+-4.5 -5 2.2981271812070396 2.5998730688034706
+-5 -0.0 3.1415926535897931 2.2924316695611777
+-5 -0.5 3.0399044430444304 2.2977170809810494
+-5 -1 2.940397573888883 2.3132209417695293
+-5 -1.5 2.8449671605559672 2.3379654110880099
+-5 -2 2.7550280110699186 2.3705485373179198
+-5 -2.5 2.6714523039464617 2.4093853763583719
+-5 -3 2.5946180733066795 2.4529137425028118
+-5 -3.5 2.5245177291309675 2.4997285620656857
+-5 -4 2.4608795884460077 2.5486455784678337
+-5 -4.5 2.4032741921779746 2.5987135017717908
+-5 -5 2.3511949067802806 2.6491961778064712
diff --git a/commons-numbers-complex/src/test/resources/data/acosh.txt b/commons-numbers-complex/src/test/resources/data/acosh.txt
new file mode 100644
index 0000000..c31d1f4
--- /dev/null
+++ b/commons-numbers-complex/src/test/resources/data/acosh.txt
@@ -0,0 +1,243 @@
+# (a + b i) acosh(a + b i)
+0.0 0.0 0.0 1.5707963267948966
+0.0 0.5 0.48121182505960342 1.5707963267948966
+0.0 1 0.88137358701954305 1.5707963267948966
+0.0 1.5 1.1947632172871094 1.5707963267948966
+0.0 2 1.4436354751788103 1.5707963267948966
+0.0 2.5 1.6472311463710958 1.5707963267948966
+0.0 3 1.8184464592320668 1.5707963267948966
+0.0 3.5 1.9657204716496515 1.5707963267948966
+0.0 4 2.0947125472611012 1.5707963267948966
+0.0 4.5 2.2093477086153341 1.5707963267948966
+0.0 5 2.3124383412727525 1.5707963267948966
+;0.5 0.0 0.0 1.0471975511965979
+0.5 0.5 0.53063753095251787 1.1185178796437059
+0.5 1 0.92613303135018232 1.2213572639376833
+0.5 1.5 1.2264568712514059 1.29730903665334
+0.5 2 1.4657153519472905 1.3497776911720125
+0.5 2.5 1.6630597397306994 1.3867764005525824
+0.5 3 1.8301947623375088 1.4137917320059543
+0.5 3.5 1.9747225765227623 1.4341955764912189
+0.5 4 2.1018015246120907 1.4500667562979073
+0.5 4.5 2.2150603624774576 1.4627241156054056
+0.5 5 2.3171322930349234 1.4730329474299688
+1 0.0 0.0 0.0
+1 0.5 0.73285767597364537 0.67488884558600648
+1 1 1.0612750619050357 0.9045568943023814
+1 1.5 1.3169578969248166 1.0471975511965976
+1 2 1.5285709194809984 1.1437177404024206
+1 2.5 1.7084532853187295 1.2123912958473235
+1 3 1.8641615441578825 1.2631926772641855
+1 3.5 2.0009283853833404 1.3020069925537121
+1 4 2.1225501238100715 1.3324788649850305
+1 4.5 2.2318513527511969 1.3569558580672694
+1 5 2.3309746530493123 1.3770031902399644
+1.5 0.0 0.96242365011920694 0.0
+1.5 0.5 1.0693110431581105 0.3996390673365241
+1.5 1 1.2604751877984541 0.66442055082015217
+1.5 1.5 1.4497343495853601 0.8403951088416709
+1.5 2 1.6224941488715938 0.96428480859514198
+1.5 2.5 1.7776623775066449 1.0552478910599898
+1.5 3 1.9168395294689364 1.1242292777231266
+1.5 3.5 2.042121664538171 1.1779555217781177
+1.5 4 2.1555081001347598 1.2207611557752369
+1.5 4.5 2.2587403709962968 1.2555388691931133
+1.5 5 2.3532830725605218 1.2842760610181159
+2 0.0 1.3169578969248166 0.0
+2 0.5 1.3618009008578458 0.27775425655771396
+2 1 1.4693517443681852 0.50735630321714453
+2 1.5 1.6004100552346137 0.68303118061099144
+2 2 1.7343245214879666 0.81654718209685051
+2 2.5 1.8629147540260123 0.91943293481682364
+2 3 1.9833870299165355 1.0001435424737972
+2 3.5 2.0951644322598453 1.0645947936207991
+2 4 2.1985730279209359 1.1169261168317741
+2 4.5 2.294277166397185 1.1600678294088547
+2 5 2.3830308809003258 1.1961255219693696
+2.5 0.0 1.5667992369724109 0.0
+2.5 0.5 1.5919125928575537 0.21396098534132454
+2.5 1 1.6586932988564327 0.40617281650551157
+2.5 1.5 1.7501487613175148 0.56743361506164591
+2.5 2 1.8522660627003649 0.69887812571442653
+2.5 2.5 1.9566101076215752 0.80537157705837525
+2.5 3 2.0587619778850184 0.89202761538226805
+2.5 3.5 2.156624662472399 0.96315759301770687
+2.5 4 2.2493538620214859 1.022146711243082
+2.5 4.5 2.3367597642493152 1.0715883556151709
+2.5 5 2.4189821813541275 1.1134571769983608
+3 0.0 1.7627471740390861 0.0
+3 0.5 1.7789904938267687 0.17464646508544929
+3 1 1.8241987021938828 0.33770110926555247
+3 1.5 1.8902413596022003 0.48214808473382775
+3 2 1.9686379257930964 0.60613782238729375
+3 2.5 2.05286474223273 0.71099301166950957
+3 3 2.1386220863162211 0.79927813467304831
+3 3.5 2.2233202904833753 0.87372883284394587
+3 4 2.3055090312434769 0.93681246115571981
+3 4.5 2.3844495098256124 0.99060472527214638
+3 5 2.4598315216234345 1.036797257200728
+3.5 0.0 1.9248473002384137 0.0
+3.5 0.5 1.9362874087060464 0.14784102721070985
+3.5 1 1.9688930527223867 0.2887698569311295
+3.5 1.5 2.0183663608257105 0.41783334803565009
+3.5 2 2.0795673772714314 0.53271101891681671
+3.5 2.5 2.1478728797685616 0.63319582395480256
+3.5 3 2.2197264921337307 0.7203103731710232
+3.5 3.5 2.292639829480557 0.79559870620690554
+3.5 4 2.3649810177545616 0.86070455872300777
+3.5 4.5 2.4357376718882664 0.91716533955637225
+3.5 5 2.504321204197816 0.96633244050378642
+4 0.0 2.0634370688955608 0.0
+4 0.5 2.0719611994218501 0.12832005450152423
+4 1 2.0965964572888911 0.25217940871635341
+4 1.5 2.1348757684000321 0.36806411482882501
+4 2 2.1835852165645639 0.4738747779647538
+4 2.5 2.2395158625112814 0.56884710816305495
+4 3 2.2999140408792695 0.65317947344341798
+4 3.5 2.3626333727441886 0.72762999925723792
+4 4 2.42610665211539 0.79320907467323565
+4 4.5 2.4892444198251908 0.85098534507070622
+4 5 2.5513216254756985 0.90197975146896925
+4.5 0.0 2.1846437916051089 0.0
+4.5 0.5 2.1912554738875611 0.11343363023261466
+4.5 1 2.2105337024568841 0.22381637001194821
+4.5 1.5 2.2409658207528156 0.32859934994854589
+4.5 2 2.2804665033403291 0.42603730470335777
+4.5 2.5 2.3267973728501672 0.51522845682877461
+4.5 3 2.3778787412951385 0.59596912458287687
+4.5 3.5 2.4319527481396968 0.66854000202379782
+4.5 4 2.4876280519626373 0.7335069086829249
+4.5 4.5 2.5438553108375843 0.79157021909754721
+4.5 5 2.5998730688034706 0.84346547238275327
+5 0.0 2.2924316695611777 0.0
+5 0.5 2.2977170809810494 0.10168821054536265
+5 1 2.3132209417695293 0.20119507970091022
+5 1.5 2.3379654110880099 0.2966254930338259
+5 2 2.3705485373179198 0.38656464251987466
+5 2.5 2.4093853763583719 0.47014034964333123
+5 3 2.4529137425028118 0.54697458028311374
+5 3.5 2.4997285620656857 0.61707492445882539
+5 4 2.5486455784678337 0.68071306514378538
+5 4.5 2.5987135017717908 0.73831846141181878
+5 5 2.6491961778064712 0.79039774680951247
+-0.0 -0.0 0.0 -1.5707963267948966
+-0.0 -0.5 0.48121182505960342 -1.5707963267948966
+-0.0 -1 0.88137358701954305 -1.5707963267948966
+-0.0 -1.5 1.1947632172871094 -1.5707963267948966
+-0.0 -2 1.4436354751788103 -1.5707963267948966
+-0.0 -2.5 1.6472311463710958 -1.5707963267948966
+-0.0 -3 1.8184464592320668 -1.5707963267948966
+-0.0 -3.5 1.9657204716496515 -1.5707963267948966
+-0.0 -4 2.0947125472611012 -1.5707963267948966
+-0.0 -4.5 2.2093477086153341 -1.5707963267948966
+-0.0 -5 2.3124383412727525 -1.5707963267948966
+;-0.5 -0.0 0.0 -2.0943951023931953
+-0.5 -0.5 0.53063753095251787 -2.023074773946087
+-0.5 -1 0.92613303135018232 -1.9202353896521098
+-0.5 -1.5 1.2264568712514059 -1.8442836169364532
+-0.5 -2 1.4657153519472905 -1.7918149624177806
+-0.5 -2.5 1.6630597397306994 -1.7548162530372107
+-0.5 -3 1.8301947623375088 -1.7278009215838388
+-0.5 -3.5 1.9747225765227623 -1.7073970770985742
+-0.5 -4 2.1018015246120907 -1.6915258972918858
+-0.5 -4.5 2.2150603624774576 -1.6788685379843875
+-0.5 -5 2.3171322930349234 -1.6685597061598243
+-1 -0.0 0.0 -3.1415926535897931
+-1 -0.5 0.73285767597364537 -2.4667038080037864
+-1 -1 1.0612750619050357 -2.2370357592874117
+-1 -1.5 1.3169578969248166 -2.0943951023931957
+-1 -2 1.5285709194809984 -1.9978749131873725
+-1 -2.5 1.7084532853187295 -1.9292013577424696
+-1 -3 1.8641615441578825 -1.8783999763256076
+-1 -3.5 2.0009283853833404 -1.839585661036081
+-1 -4 2.1225501238100715 -1.8091137886047626
+-1 -4.5 2.2318513527511969 -1.7846367955225237
+-1 -5 2.3309746530493123 -1.7645894633498287
+-1.5 -0.0 0.96242365011920694 -3.1415926535897931
+-1.5 -0.5 1.0693110431581105 -2.7419535862532691
+-1.5 -1 1.2604751877984541 -2.4771721027696412
+-1.5 -1.5 1.4497343495853601 -2.3011975447481223
+-1.5 -2 1.6224941488715938 -2.177307844994651
+-1.5 -2.5 1.7776623775066449 -2.0863447625298033
+-1.5 -3 1.9168395294689364 -2.0173633758666663
+-1.5 -3.5 2.042121664538171 -1.9636371318116754
+-1.5 -4 2.1555081001347598 -1.9208314978145562
+-1.5 -4.5 2.2587403709962968 -1.8860537843966798
+-1.5 -5 2.3532830725605218 -1.8573165925716772
+-2 -0.0 1.3169578969248166 -3.1415926535897931
+-2 -0.5 1.3618009008578458 -2.8638383970320791
+-2 -1 1.4693517443681852 -2.6342363503726487
+-2 -1.5 1.6004100552346137 -2.4585614729788015
+-2 -2 1.7343245214879666 -2.3250454714929427
+-2 -2.5 1.8629147540260123 -2.2221597187729696
+-2 -3 1.9833870299165355 -2.1414491111159961
+-2 -3.5 2.0951644322598453 -2.0769978599689942
+-2 -4 2.1985730279209359 -2.0246665367580192
+-2 -4.5 2.294277166397185 -1.9815248241809384
+-2 -5 2.3830308809003258 -1.9454671316204235
+-2.5 -0.0 1.5667992369724109 -3.1415926535897931
+-2.5 -0.5 1.5919125928575537 -2.9276316682484684
+-2.5 -1 1.6586932988564327 -2.7354198370842817
+-2.5 -1.5 1.7501487613175148 -2.5741590385281472
+-2.5 -2 1.8522660627003649 -2.4427145278753666
+-2.5 -2.5 1.9566101076215752 -2.3362210765314178
+-2.5 -3 2.0587619778850184 -2.2495650382075252
+-2.5 -3.5 2.156624662472399 -2.1784350605720864
+-2.5 -4 2.2493538620214859 -2.1194459423467111
+-2.5 -4.5 2.3367597642493152 -2.0700042979746223
+-2.5 -5 2.4189821813541275 -2.0281354765914323
+-3 -0.0 1.7627471740390861 -3.1415926535897931
+-3 -0.5 1.7789904938267687 -2.9669461885043438
+-3 -1 1.8241987021938828 -2.8038915443242405
+-3 -1.5 1.8902413596022003 -2.6594445688559656
+-3 -2 1.9686379257930964 -2.5354548312024994
+-3 -2.5 2.05286474223273 -2.4305996419202835
+-3 -3 2.1386220863162211 -2.3423145189167447
+-3 -3.5 2.2233202904833753 -2.2678638207458475
+-3 -4 2.3055090312434769 -2.2047801924340735
+-3 -4.5 2.3844495098256124 -2.1509879283176465
+-3 -5 2.4598315216234345 -2.1047953963890649
+-3.5 -0.0 1.9248473002384137 -3.1415926535897931
+-3.5 -0.5 1.9362874087060464 -2.9937516263790833
+-3.5 -1 1.9688930527223867 -2.8528227966586637
+-3.5 -1.5 2.0183663608257105 -2.7237593055541431
+-3.5 -2 2.0795673772714314 -2.6088816346729766
+-3.5 -2.5 2.1478728797685616 -2.5083968296349903
+-3.5 -3 2.2197264921337307 -2.4212822804187697
+-3.5 -3.5 2.292639829480557 -2.3459939473828877
+-3.5 -4 2.3649810177545616 -2.2808880948667856
+-3.5 -4.5 2.4357376718882664 -2.224427314033421
+-3.5 -5 2.504321204197816 -2.1752602130860068
+-4 -0.0 2.0634370688955608 -3.1415926535897931
+-4 -0.5 2.0719611994218501 -3.0132725990882689
+-4 -1 2.0965964572888911 -2.8894132448734395
+-4 -1.5 2.1348757684000321 -2.7735285387609681
+-4 -2 2.1835852165645639 -2.6677178756250393
+-4 -2.5 2.2395158625112814 -2.5727455454267383
+-4 -3 2.2999140408792695 -2.4884131801463751
+-4 -3.5 2.3626333727441886 -2.413962654332555
+-4 -4 2.42610665211539 -2.3483835789165575
+-4 -4.5 2.4892444198251908 -2.2906073085190868
+-4 -5 2.5513216254756985 -2.239612902120824
+-4.5 -0.0 2.1846437916051089 -3.1415926535897931
+-4.5 -0.5 2.1912554738875611 -3.0281590233571785
+-4.5 -1 2.2105337024568841 -2.9177762835778447
+-4.5 -1.5 2.2409658207528156 -2.8129933036412473
+-4.5 -2 2.2804665033403291 -2.7155553488864355
+-4.5 -2.5 2.3267973728501672 -2.6263641967610187
+-4.5 -3 2.3778787412951385 -2.5456235290069165
+-4.5 -3.5 2.4319527481396968 -2.4730526515659954
+-4.5 -4 2.4876280519626373 -2.4080857449068684
+-4.5 -4.5 2.5438553108375843 -2.3500224344922458
+-4.5 -5 2.5998730688034706 -2.2981271812070396
+-5 -0.0 2.2924316695611777 -3.1415926535897931
+-5 -0.5 2.2977170809810494 -3.0399044430444304
+-5 -1 2.3132209417695293 -2.940397573888883
+-5 -1.5 2.3379654110880099 -2.8449671605559672
+-5 -2 2.3705485373179198 -2.7550280110699186
+-5 -2.5 2.4093853763583719 -2.6714523039464617
+-5 -3 2.4529137425028118 -2.5946180733066795
+-5 -3.5 2.4997285620656857 -2.5245177291309675
+-5 -4 2.5486455784678337 -2.4608795884460077
+-5 -4.5 2.5987135017717908 -2.4032741921779746
+-5 -5 2.6491961778064712 -2.3511949067802806
diff --git a/commons-numbers-complex/src/test/resources/data/asinh.txt b/commons-numbers-complex/src/test/resources/data/asinh.txt
new file mode 100644
index 0000000..f9348e1
--- /dev/null
+++ b/commons-numbers-complex/src/test/resources/data/asinh.txt
@@ -0,0 +1,122 @@
+# (a + b i) asinh(a + b i)
+0.0 0.0 0.0 0.0
+;0.0 0.5 0.0 0.52359877559829893
+0.0 1 0.0 1.5707963267948966
+0.0 1.5 0.96242365011920694 1.5707963267948966
+0.0 2 1.3169578969248166 1.5707963267948966
+0.0 2.5 1.5667992369724109 1.5707963267948966
+0.0 3 1.7627471740390861 1.5707963267948966
+0.0 3.5 1.9248473002384137 1.5707963267948966
+0.0 4 2.0634370688955608 1.5707963267948966
+0.0 4.5 2.1846437916051089 1.5707963267948966
+0.0 5 2.2924316695611777 1.5707963267948966
+0.5 0.0 0.48121182505960342 0.0
+0.5 0.5 0.53063753095251787 0.45227844715119064
+0.5 1 0.73285767597364537 0.89590748120889019
+0.5 1.5 1.0693110431581105 1.1711572594583726
+0.5 2 1.3618009008578458 1.2930420702371825
+0.5 2.5 1.5919125928575537 1.3568353414535721
+0.5 3 1.7789904938267687 1.3961498617094474
+0.5 3.5 1.9362874087060464 1.4229552995841868
+0.5 4 2.0719611994218501 1.4424762722933724
+0.5 4.5 2.1912554738875611 1.4573626965622819
+0.5 5 2.2977170809810494 1.4691081162495341
+1 0.0 0.88137358701954305 0.0
+1 0.5 0.92613303135018232 0.34943906285721332
+1 1 1.0612750619050357 0.66623943249251527
+1 1.5 1.2604751877984541 0.90637577597474439
+1 2 1.4693517443681852 1.0634400235777519
+1 2.5 1.6586932988564327 1.1646235102893852
+1 3 1.8241987021938828 1.2330952175293441
+1 3.5 1.9688930527223867 1.2820264698637671
+1 4 2.0965964572888911 1.3186169180785432
+1 4.5 2.2105337024568841 1.3469799567829484
+1 5 2.3132209417695293 1.3696012470939865
+1.5 0.0 1.1947632172871094 0.0
+1.5 0.5 1.2264568712514059 0.27348729014155682
+1.5 1 1.3169578969248166 0.52359877559829893
+1.5 1.5 1.4497343495853601 0.73040121795322566
+1.5 2 1.6004100552346137 0.88776514618390501
+1.5 2.5 1.7501487613175148 1.0033627117332509
+1.5 3 1.8902413596022003 1.0886482420610688
+1.5 3.5 2.0183663608257105 1.1529629787592466
+1.5 4 2.1348757684000321 1.2027322119660715
+1.5 4.5 2.2409658207528156 1.2421969768463508
+1.5 5 2.3379654110880099 1.2741708337610707
+2 0.0 1.4436354751788103 0.0
+2 0.5 1.4657153519472905 0.22101863562288385
+2 1 1.5285709194809984 0.42707858639247603
+2 1.5 1.6224941488715938 0.60651151819975468
+2 2 1.7343245214879666 0.75424914469804594
+2 2.5 1.8522660627003649 0.87191820108047002
+2 3 1.9686379257930964 0.96465850440760281
+2 3.5 2.0795673772714314 1.0380853078780798
+2 4 2.1835852165645639 1.0969215488301429
+2 4.5 2.2804665033403291 1.1447590220915389
+2 5 2.3705485373179198 1.184231684275022
+2.5 0.0 1.6472311463710958 0.0
+2.5 0.5 1.6630597397306994 0.18401992624231417
+2.5 1 1.7084532853187295 0.3584050309475732
+2.5 1.5 1.7776623775066449 0.51554843573490672
+2.5 2 1.8629147540260123 0.65136339197807303
+2.5 2.5 1.9566101076215752 0.76542474973652141
+2.5 3 2.05286474223273 0.8598033151253871
+2.5 3.5 2.1478728797685616 0.937600502840094
+2.5 4 2.2395158625112814 1.0019492186318415
+2.5 4.5 2.3267973728501672 1.0555678699661222
+2.5 5 2.4093853763583719 1.1006559771515654
+3 0.0 1.8184464592320668 0.0
+3 0.5 1.8301947623375088 0.15700459478894233
+3 1 1.8641615441578825 0.30760364953071123
+3 1.5 1.9168395294689364 0.44656704907176997
+3 2 1.9833870299165355 0.57065278432109945
+3 2.5 2.0587619778850184 0.67876871141262851
+3 3 2.1386220863162211 0.77151819212184836
+3 3.5 2.2197264921337307 0.85048595362387336
+3 4 2.2999140408792695 0.91761685335147869
+3 4.5 2.3778787412951385 0.97482720221201979
+3 5 2.4529137425028118 1.0238217465117829
+3.5 0.0 1.9657204716496515 0.0
+3.5 0.5 1.9747225765227623 0.13660075030367758
+3.5 1 2.0009283853833404 0.26878933424118456
+3.5 1.5 2.042121664538171 0.39284080501677876
+3.5 2 2.0951644322598453 0.50620153317409755
+3.5 2.5 2.156624662472399 0.60763873377718969
+3.5 3 2.2233202904833753 0.69706749395095091
+3.5 3.5 2.292639829480557 0.77519762058799102
+3.5 4 2.3626333727441886 0.84316632753765874
+3.5 4.5 2.4319527481396968 0.90225632477109885
+3.5 5 2.4997285620656857 0.95372140233607117
+4 0.0 2.0947125472611012 0.0
+4 0.5 2.1018015246120907 0.12072957049698953
+4 1 2.1225501238100715 0.2383174618098661
+4 1.5 2.1555081001347598 0.35003517101965975
+4 2 2.1985730279209359 0.4538702099631225
+4 2.5 2.2493538620214859 0.54864961555181468
+4 3 2.3055090312434769 0.63398386563917664
+4 3.5 2.3649810177545616 0.71009176807188878
+4 4 2.42610665211539 0.77758725212166091
+4 4.5 2.4876280519626373 0.83728941811197177
+4 5 2.5486455784678337 0.89008326165111129
+4.5 0.0 2.2093477086153341 0.0
+4.5 0.5 2.2150603624774576 0.1080722111894912
+4.5 1 2.2318513527511969 0.21384046872762721
+4.5 1.5 2.2587403709962968 0.3152574576017832
+4.5 2 2.294277166397185 0.41072849738604167
+4.5 2.5 2.3367597642493152 0.49920797117972582
+4.5 3 2.3844495098256124 0.58019160152275018
+4.5 3.5 2.4357376718882664 0.65363098723852442
+4.5 4 2.4892444198251908 0.71981098172419022
+4.5 4.5 2.5438553108375843 0.77922610769734935
+4.5 5 2.5987135017717908 0.83247786538307789
+5 0.0 2.3124383412727525 0.0
+5 0.5 2.3171322930349234 0.097763379364927738
+5 1 2.3309746530493123 0.19379313655493219
+5 1.5 2.3532830725605218 0.28652026577678052
+5 2 2.3830308809003258 0.374670804825527
+5 2.5 2.4189821813541275 0.45733914979653584
+5 3 2.4598315216234345 0.53399906959416865
+5 3.5 2.504321204197816 0.60446388629111025
+5 4 2.5513216254756985 0.66881657532592731
+5 4.5 2.5998730688034706 0.72733085441214329
+5 5 2.6491961778064712 0.7803985799853842
diff --git a/commons-numbers-complex/src/test/resources/data/atanh.txt b/commons-numbers-complex/src/test/resources/data/atanh.txt
new file mode 100644
index 0000000..c919d2e
--- /dev/null
+++ b/commons-numbers-complex/src/test/resources/data/atanh.txt
@@ -0,0 +1,122 @@
+# (a + b i) atanh(a + b i)
+0.0 0.0 0.0 0.0
+0.0 0.5 0.0 0.46364760900080609
+0.0 1 0.0 0.78539816339744828
+0.0 1.5 0.0 0.98279372324732905
+0.0 2 0.0 1.1071487177940904
+0.0 2.5 0.0 1.1902899496825317
+0.0 3 0.0 1.2490457723982544
+0.0 3.5 0.0 1.2924966677897853
+0.0 4 0.0 1.3258176636680326
+0.0 4.5 0.0 1.3521273809209546
+0.0 5 0.0 1.3734007669450159
+0.5 0.0 0.54930614433405489 0.0
+0.5 0.5 0.40235947810852507 0.5535743588970452
+0.5 1 0.23887786125685909 0.84757566067082901
+0.5 1.5 0.14694666622552977 1.0172219678978514
+0.5 2 0.096415620202996169 1.1265564408348223
+0.5 2.5 0.067065996648669843 1.2018887967346641
+0.5 3 0.048936144281523826 1.2563981835871803
+0.5 3.5 0.037105001279568318 1.2974019063502729
+0.5 4 0.029018042813188503 1.3292334943862298
+0.5 4.5 0.023272605766502988 1.3545924390096278
+0.5 5 0.019056841346971064 1.375233603310382
+;1 0.0 Infinity 0.78539816339744828
+1 0.5 0.70830333601405393 0.90788749496088028
+1 1 0.40235947810852507 1.0172219678978514
+1 1.5 0.25541281188299547 1.1071487177940904
+1 2 0.17328679513998629 1.1780972450961724
+1 2.5 0.12367406045902667 1.2334258556831201
+1 3 0.091931195031329432 1.2767950250211129
+1 3.5 0.070641742946252611 1.311223269671635
+1 4 0.055785887828552413 1.3389725222944935
+1 4.5 0.045065455957736186 1.361684162005282
+1 5 0.037105001279568284 1.3805431382387141
+1.5 0.0 0.80471895621705014 1.5707963267948966
+1.5 0.5 0.64123733936538418 1.2767950250211129
+1.5 1 0.43946447938809341 1.2074751564540338
+1.5 1.5 0.30594385790552892 1.2164831907310616
+1.5 2 0.22008968066202295 1.2452579660726568
+1.5 2.5 0.16348161685166601 1.2767950250211129
+1.5 3 0.12498898788227171 1.3060015274038583
+1.5 3.5 0.098010521944005932 1.3316201111055679
+1.5 4 0.078562274959125683 1.3536741663964962
+1.5 4.5 0.064179961711953504 1.3725756851856759
+1.5 5 0.053298305115260416 1.3888068485400746
+2 0.0 0.54930614433405489 1.5707963267948966
+2 0.5 0.50037000005253107 1.4215468610018069
+2 1 0.40235947810852507 1.3389725222944935
+2 1.5 0.31042828307719578 1.311223269671635
+2 2 0.23887786125685909 1.311223269671635
+2 2.5 0.1858945085467093 1.3230204900519824
+2 3 0.14694666622552977 1.3389725222944935
+2 3.5 0.11808983573454865 1.3556330202336171
+2 4 0.096415620202996169 1.3715351039616865
+2 4.5 0.079880669576859922 1.3861294979580838
+2 5 0.067065996648669843 1.399284356584545
+2.5 0.0 0.42364893019360184 1.5707963267948966
+2.5 0.5 0.40235947810852507 1.4808695768986575
+2.5 1 0.35133563902264631 1.4159448545236686
+2.5 1.5 0.29251781316256364 1.3805431382387141
+2.5 2 0.23887786125685909 1.3667217749173519
+2.5 2.5 0.1944261421470021 1.3657326565241512
+2.5 3 0.15899719167999918 1.3715351039616865
+2.5 3.5 0.13113111703103816 1.3805431382387141
+2.5 4 0.10923209439098736 1.3907666621193704
+2.5 4.5 0.091931195031329335 1.4011500195678743
+2.5 5 0.078149605929078853 1.4111617418392259
+3 0.0 0.34657359027997264 1.5707963267948966
+3 0.5 0.33529348145985527 1.5104844925048453
+3 1 0.30594385790552892 1.4614618538579256
+3 1.5 0.2678959040700476 1.4284311075335405
+3 2 0.22907268296853878 1.4099210495965755
+3 2.5 0.19376607575695801 1.4020682921810059
+3 3 0.16348161685166601 1.4011500195678743
+3 3.5 0.13825013720417587 1.4043862203315221
+3 4 0.11750090731143388 1.4099210495965755
+3 4.5 0.1005056909792979 1.4165873212436484
+3 5 0.086569059179458438 1.4236790442393028
+3.5 0.0 0.29389333245105953 1.5707963267948966
+3.5 0.5 0.28715567731069275 1.527427157456904
+3.5 1 0.26883885662596063 1.4898776111756851
+3.5 1.5 0.24336228642852592 1.4614618538579256
+3.5 2 0.21528472794976877 1.4425380204727349
+3.5 2.5 0.18785402217098029 1.4316464972923408
+3.5 3 0.16282501765611121 1.4267686032695837
+3.5 3.5 0.14086733931285317 1.4260444908142025
+3.5 4 0.12202434317210864 1.4280189914100923
+3.5 4.5 0.10603931028007924 1.4316464972923408
+3.5 5 0.092545823490881154 1.4362125804020465
+4 0.0 0.25541281188299531 1.5707963267948966
+4 0.5 0.25105065104925878 1.5380563143331643
+4 1 0.23887786125685909 1.5086188295215159
+4 1.5 0.22117134811470598 1.4847009195334271
+4 2 0.20058661813123432 1.4670482135772953
+4 2.5 0.17935996828224748 1.4552509931969482
+4 3 0.15899719167999918 1.4483069952314644
+4 3.5 0.14032376236378566 1.4450742816558877
+4 4 0.12367406045902676 1.4445191889058668
+4 4.5 0.10908077411701741 1.4458070160644854
+4 5 0.096415620202996169 1.4483069952314644
+4.5 0.0 0.22599256187152864 1.5707963267948966
+4.5 0.5 0.22299950982627761 1.5451777430931872
+4.5 1 0.2145054559375448 1.5215732471885801
+4.5 1.5 0.20177285997729077 1.5014764582278175
+4.5 2 0.18639841398312196 1.4856087714635886
+4.5 2.5 0.16988538212604168 1.4739853303669239
+4.5 3 0.1533986372144979 1.4661565515711266
+4.5 3.5 0.13770773959492247 1.4614618538579256
+4.5 4 0.12324200159149606 1.4592113064159771
+4.5 4.5 0.1101833117364056 1.4587845032759348
+4.5 5 0.098554098893073427 1.459668675652285
+5 0.0 0.20273255405408219 1.5707963267948966
+5 0.5 0.20058661813123432 1.5501894454657366
+5 1 0.1944261421470021 1.5308813339387779
+5 1.5 0.18499462006101108 1.5139003232230426
+5 2 0.17328679513998632 1.4998477994928145
+5 2.5 0.1603155862977334 1.4888922289729962
+5 3 0.14694666622552977 1.4808695768986575
+5 3.5 0.13382559254813625 1.4754185511972642
+5 4 0.12137695394542521 1.4720985468699563
+5 4.5 0.10984166494596143 1.4704698881349534
+5 5 0.099325449367250865 1.4701377726075762
diff --git a/commons-numbers-complex/src/test/resources/data/cosh.txt b/commons-numbers-complex/src/test/resources/data/cosh.txt
new file mode 100644
index 0000000..697aa97
--- /dev/null
+++ b/commons-numbers-complex/src/test/resources/data/cosh.txt
@@ -0,0 +1,122 @@
+# (a + b i) cosh(a + b i)
+0.0 0.0 1 0.0
+0.0 0.5 0.87758256189037276 0.0
+0.0 1 0.54030230586813977 0.0
+0.0 1.5 0.070737201667702906 0.0
+0.0 2 -0.41614683654714241 0.0
+0.0 2.5 -0.8011436155469337 0.0
+0.0 3 -0.98999249660044542 0.0
+0.0 3.5 -0.93645668729079634 0.0
+0.0 4 -0.65364362086361194 0.0
+0.0 4.5 -0.21079579943077972 0.0
+0.0 5 0.2836621854632263 0.0
+0.5 0.0 1.1276259652063807 0.0
+0.5 0.5 0.9895848833999199 0.24982639750046154
+0.5 1 0.60925890915779424 0.43848657989259532
+0.5 1.5 0.079765105306541892 0.51978995477292123
+0.5 2 -0.46925797822905341 0.473830620416407
+0.5 2.5 -0.90339034275004071 0.31186102476134919
+0.5 3 -1.1163412445261518 0.073536973711236603
+0.5 3.5 -1.055972875880254 -0.18279149319500521
+0.5 4 -0.73706551887732397 -0.39436622749091516
+0.5 4.5 -0.23769881679458363 -0.50938635529403253
+0.5 5 0.31986484567552192 -0.49969093785095825
+1 0.0 1.5430806348152437 0.0
+1 0.5 1.3541806567045842 0.5634214652309818
+1 1 0.83373002513114913 0.98889770576286506
+1 1.5 0.10915320605445292 1.1722572989107924
+1 2 -0.64214812471551996 1.0686074213827783
+1 2.5 -1.2362291988563421 0.70332517811353468
+1 3 -1.5276382501165433 0.16584440191897881
+1 3.5 -1.4450281795016622 -0.41224086789106656
+1 4 -1.0086248134251568 -0.88939519583848459
+1 4.5 -0.32527491600203434 -1.1487945611027877
+1 5 0.43771362521767465 -1.1269289521981367
+1.5 0.0 2.3524096152432472 0.0
+1.5 0.5 2.0644336567607149 1.0208309495976966
+1.5 1 1.2710123394623098 1.7917268800098571
+1.5 1.5 0.16640287335850498 2.123945581536093
+1.5 2 -0.97894781964655775 1.9361483295105071
+1.5 2.5 -1.8846179444033462 1.2743144408870994
+1.5 3 -2.3288678680215553 0.3004839338646903
+1.5 3.5 -2.2029297154417082 -0.74691551991135496
+1.5 4 -1.5376375386619723 -1.6114440048236633
+1.5 4.5 -0.49587806543385327 -2.0814347962807105
+1.5 5 0.66728965256460682 -2.0418177570319203
+2 0.0 3.7621956910836314 0.0
+2 0.5 3.3016373329140944 1.7388095044743164
+2 1 2.0327230070196656 3.0518977991518002
+2 1.5 0.26612719531354573 3.6177750739401375
+2 2 -1.5656258353157435 3.297894836311237
+2 2.5 -3.0140590583498352 2.1705749246499555
+2 3 -3.7245455049153224 0.51182256998738462
+2 3.5 -3.5231333138118854 -1.2722418002442684
+2 4 -2.4591352139173837 -2.7448170067921542
+2 4.5 -0.7930550483170089 -3.5453652812375784
+2 5 1.0671926518731158 -3.4778844858991573
+2.5 0.0 6.1322894796636858 0.0
+2.5 0.5 5.3815903118166384 2.9006225419880627
+2.5 1 3.3132901461132245 5.0910715229496981
+2.5 1.5 0.43378099760770306 6.0350486377665726
+2.5 2 -2.5519328677533646 5.5014353663786881
+2.5 2.5 -4.9128445653181902 3.6208788480352467
+2.5 3 -6.070920571848899 0.85380490512817953
+2.5 3.5 -5.7426234916340562 -2.1223102560413381
+2.5 4 -4.0083318996712061 -4.57880984837412
+2.5 4.5 -1.292660863206667 -5.9142570982487204
+2.5 5 1.7394986356945519 -5.8016879435447484
+3 0.0 10.067661995777767 0.0
+3 0.5 8.8352046065009961 4.8028250827430332
+3 1 5.4395809910197652 8.429751080849945
+3 1.5 0.71215823691760027 9.992780016517834
+3 2 -4.1896256909688079 9.109227893755337
+3 2.5 -8.065643131401858 5.9954190871722712
+3 3 -9.9669098341294546 1.4137225904988271
+3 3.5 -9.4279294013294948 -3.5141025016277618
+3 4 -6.5806630405511575 -7.5815527427465446
+3 4.5 -2.1222208587988538 -9.7927744565452279
+3 5 2.855815004227388 -9.606383448432581
+3.5 0.0 16.572824671057315 0.0
+3.5 0.5 14.544021932586453 7.9309579973029942
+3.5 1 8.9543353845206628 13.920140875036202
+3.5 1.5 1.1723152409600635 16.501187784675338
+3.5 2 -6.8967285595109376 15.042168425582808
+3.5 2.5 -13.27721267679628 9.9003016219435338
+3.5 3 -16.406972071821489 2.3344956961624299
+3.5 3.5 -15.519732490509515 -5.8028761944229847
+3.5 4 -10.832721125927701 -12.51950161023119
+3.5 4.5 -3.493481825361676 -16.170916398971684
+3.5 5 4.7010836654909927 -15.863126872818031
+4 0.0 27.308232836016487 0.0
+4 0.5 23.965228932930149 13.083483250697073
+4 1 14.754701170483758 22.963673499193039
+4 1.5 1.9317079733098848 27.221555588974699
+4 2 -11.36423470640106 24.814651485634183
+4 2.5 -21.877816388443744 16.332255257384478
+4 3 -27.034945603074224 3.851153334811777
+4 3.5 -25.572977257381748 -9.5728452377909345
+4 4 -17.849852190320398 -20.653077431533024
+4 4.5 -5.7564607717099641 -26.676715968779042
+4 5 7.7463130074030753 -26.168964053872834
+4.5 0.0 45.014120148530026 0.0
+4.5 0.5 39.503606881188027 21.575592860354615
+4.5 1 24.321232912876262 37.868728113387277
+4.5 1.5 3.1841728948407773 44.890278006198159
+4.5 2 -18.732483699763755 40.921122239913586
+4.5 2.5 -36.062774966457418 26.933048575266785
+4.5 3 -44.563641188115653 6.3508252964873746
+4.5 3.5 -42.153773835602316 -15.786301507647636
+4.5 4 -29.423192483874836 -34.058391136197905
+4.5 4.5 -9.4887874423825558 -43.991798786690204
+4.5 5 12.768803698036276 -43.154479826580854
+5 0.0 74.209948524787848 0.0
+5 0.5 65.125356744136013 35.574914197417463
+5 1 40.095806306298833 62.439848680799628
+5 1.5 5.2494040945477698 74.017330541269217
+5 2 -30.882235318916742 67.472788440587522
+5 2.5 -59.452826470700373 44.408554533886615
+5 3 -73.467292212645262 10.471557674805572
+5 3.5 -69.494402559543346 -26.029241711409281
+5 4 -48.506859457844584 -56.157174925130178
+5 4.5 -15.643145424999666 -72.535873167233817
+5 5 21.050556181654848 -71.1552598809822
diff --git a/commons-numbers-complex/src/test/resources/data/divide.txt b/commons-numbers-complex/src/test/resources/data/divide.txt
new file mode 100644
index 0000000..9c7e6ec
--- /dev/null
+++ b/commons-numbers-complex/src/test/resources/data/divide.txt
@@ -0,0 +1,17 @@
+# (a + b i) (u + v i) (a + b i).divide(u + v i)
+2 3 5 4 0.53658536585365857 0.17073170731707318
+5 4 2 3 1.6923076923076923 -0.53846153846153844
+2 3 -5 4 0.04878048780487805 -0.56097560975609762
+-5 4 2 3 0.15384615384615385 1.7692307692307692
+2 3 5 -4 -0.04878048780487805 0.56097560975609762
+5 -4 2 3 -0.15384615384615385 -1.7692307692307692
+2 3 -5 -4 -0.53658536585365857 -0.17073170731707318
+-5 -4 2 3 -1.6923076923076923 0.53846153846153844
+2 3 -1 12 0.23448275862068965 -0.18620689655172415
+-1 12 2 3 2.6153846153846154 2.0769230769230771
+2 3 7 -9 -0.10000000000000001 0.29999999999999999
+7 -9 2 3 -1 -3
+2 3 0.0 5 0.59999999999999998 -0.40000000000000002
+0.0 5 2 3 1.1538461538461537 0.76923076923076927
+2 3 5 0.0 0.40000000000000002 0.59999999999999998
+5 0.0 2 3 0.76923076923076927 -1.1538461538461537
diff --git a/commons-numbers-complex/src/test/resources/data/exp.txt b/commons-numbers-complex/src/test/resources/data/exp.txt
new file mode 100644
index 0000000..2bc1e12
--- /dev/null
+++ b/commons-numbers-complex/src/test/resources/data/exp.txt
@@ -0,0 +1,243 @@
+# (a + b i) exp(a + b i)
+0.0 0.0 1 0.0
+0.0 0.5 0.87758256189037276 0.47942553860420301
+0.0 1 0.54030230586813977 0.8414709848078965
+0.0 1.5 0.070737201667702906 0.99749498660405445
+0.0 2 -0.41614683654714241 0.90929742682568171
+0.0 2.5 -0.8011436155469337 0.59847214410395644
+0.0 3 -0.98999249660044542 0.14112000805986721
+0.0 3.5 -0.93645668729079634 -0.35078322768961984
+0.0 4 -0.65364362086361194 -0.7568024953079282
+0.0 4.5 -0.21079579943077972 -0.97753011766509701
+0.0 5 0.2836621854632263 -0.95892427466313845
+0.5 0.0 1.6487212707001282 0.0
+0.5 0.5 1.4468890365841693 0.79043908321361489
+0.5 1 0.89080790429312873 1.3873511113297634
+0.5 1.5 0.11662592901934636 1.644591201830844
+0.5 2 -0.68611014114984314 1.4991780090003948
+0.5 2.5 -1.3208625198378354 0.98671375390570526
+0.5 3 -1.6322216869786788 0.23266755900967662
+0.5 3.5 -1.5439560594257142 -0.57834376889672245
+0.5 4 -1.0776761411752871 -1.2477563717331153
+0.5 4.5 -0.34754351829576452 -1.6116746977444445
+0.5 5 0.46767987886650592 -1.5809988486278084
+1 0.0 2.7182818284590451 0.0
+1 0.5 2.3855167309591354 1.3032137296869954
+1 1 1.4686939399158851 2.2873552871788423
+1 1.5 0.19228364988935967 2.7114724960648
+1 2 -1.1312043837568135 2.4717266720048188
+1 2.5 -2.1777341321272092 1.6268159541567078
+1 3 -2.6910786138197937 0.38360395354113103
+1 3.5 -2.5455531962015261 -0.95352767355690538
+1 4 -1.7767875768817298 -2.057202470728003
+1 4.5 -0.57300239110818607 -2.6572023556204654
+1 5 0.77107376416566753 -2.6066264306850795
+1.5 0.0 4.4816890703380645 0.0
+1.5 0.5 3.9330521759433617 2.1486361964033964
+1.5 1 2.4214669388876957 3.7712113156201572
+1.5 1.5 0.31702214358044362 4.4704623791804048
+1.5 2 -1.8650407290090891 4.0751883394911834
+1.5 2.5 -3.5904765855678131 2.6821660671324885
+1.5 3 -4.4368385517309097 0.63245599772792649
+1.5 3.5 -4.196907700276153 -1.572101357594478
+1.5 4 -2.9294274715206474 -3.3917534716261164
+1.5 4.5 -0.94472123038210032 -4.3809860442659474
+1.5 5 1.2712857162587503 -4.297600441039644
+2 0.0 7.3890560989306504 0.0
+2 0.5 6.4845067812512438 3.5425022000064983
+2 1 3.9923240484412719 6.2176763123679679
+2 1.5 0.52268115140402749 7.3705464144194357
+2 2 -3.0749323206393591 6.7188496974282499
+2 2.5 -5.9196951185764224 4.4221442464314427
+2 3 -7.3151100949011028 1.0427436562359045
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diff --git a/commons-numbers-complex/src/test/resources/data/log.txt b/commons-numbers-complex/src/test/resources/data/log.txt
new file mode 100644
index 0000000..ec54dbb
--- /dev/null
+++ b/commons-numbers-complex/src/test/resources/data/log.txt
@@ -0,0 +1,243 @@
+# (a + b i) log(a + b i)
+0.0 0.0 -Infinity 0.0
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+5 4.5 1.9061013350729674 0.73281510178650655
+5 5 1.956011502714073 0.78539816339744828
+-0.0 -0.0 -Infinity -3.1415926535897931
+-0.0 -0.5 -0.69314718055994529 -1.5707963267948966
+-0.0 -1 0.0 -1.5707963267948966
+-0.0 -1.5 0.40546510810816438 -1.5707963267948966
+-0.0 -2 0.69314718055994529 -1.5707963267948966
+-0.0 -2.5 0.91629073187415511 -1.5707963267948966
+-0.0 -3 1.0986122886681098 -1.5707963267948966
+-0.0 -3.5 1.2527629684953681 -1.5707963267948966
+-0.0 -4 1.3862943611198906 -1.5707963267948966
+-0.0 -4.5 1.5040773967762742 -1.5707963267948966
+-0.0 -5 1.6094379124341003 -1.5707963267948966
+-0.5 -0.0 -0.69314718055994529 -3.1415926535897931
+-0.5 -0.5 -0.34657359027997264 -2.3561944901923448
+-0.5 -1 0.11157177565710488 -2.0344439357957027
+-0.5 -1.5 0.45814536593707755 -1.8925468811915389
+-0.5 -2 0.72345949146816269 -1.8157749899217608
+-0.5 -2.5 0.93590108845079578 -1.7681918866447774
+-0.5 -3 1.112311775762167 -1.7359450042095235
+-0.5 -3.5 1.2628643221541278 -1.7126933813990606
+-0.5 -4 1.3940464543878732 -1.695151321341658
+-0.5 -4.5 1.5102124430721813 -1.6814535479687922
+-0.5 -5 1.6144130778606842 -1.6704649792860586
+-1 -0.0 0.0 -3.1415926535897931
+-1 -0.5 0.11157177565710488 -2.677945044588987
+-1 -1 0.34657359027997264 -2.3561944901923448
+-1 -1.5 0.58932749817082308 -2.158798930342464
+-1 -2 0.80471895621705014 -2.0344439357957027
+-1 -2.5 0.99050073443329179 -1.9513027039072615
+-1 -3 1.151292546497023 -1.8925468811915389
+-1 -3.5 1.2919987762161156 -1.849095985800008
+-1 -4 1.4166066720281081 -1.8157749899217608
+-1 -4.5 1.5281784476852129 -1.7894652726688385
+-1 -5 1.6290482690107408 -1.7681918866447774
+-1.5 -0.0 0.40546510810816438 -3.1415926535897931
+-1.5 -0.5 0.45814536593707755 -2.819842099193151
+-1.5 -1 0.58932749817082308 -2.5535900500422257
+-1.5 -1.5 0.75203869838813708 -2.3561944901923448
+-1.5 -2 0.91629073187415511 -2.2142974355881808
+-1.5 -2.5 1.0700330817481354 -2.1112158270654806
+-1.5 -3 1.2101840643252146 -2.0344439357957027
+-1.5 -3.5 1.3370743247132644 -1.9756881130799799
+-1.5 -4 1.4520825400142503 -1.9295669970654687
+-1.5 -4.5 1.5567576546051873 -1.8925468811915389
+-1.5 -5 1.6525267605546266 -1.8622531212727638
+-2 -0.0 0.69314718055994529 -3.1415926535897931
+-2 -0.5 0.72345949146816269 -2.8966139904629289
+-2 -1 0.80471895621705014 -2.677945044588987
+-2 -1.5 0.91629073187415511 -2.4980915447965089
+-2 -2 1.0397207708399179 -2.3561944901923448
+-2 -2.5 1.1636388527922086 -2.2455372690184494
+-2 -3 1.2824746787307684 -2.158798930342464
+-2 -3.5 1.3940464543878732 -2.0899424410414196
+-2 -4 1.4978661367769954 -2.0344439357957027
+-2 -4.5 1.5942083086917462 -1.9890206563741257
+-2 -5 1.6836479149932368 -1.9513027039072615
+-2.5 -0.0 0.91629073187415511 -3.1415926535897931
+-2.5 -0.5 0.93590108845079578 -2.9441970937399127
+-2.5 -1 0.99050073443329179 -2.7610862764774282
+-2.5 -1.5 1.0700330817481354 -2.6011731533192091
+-2.5 -2 1.1636388527922086 -2.4668517113662407
+-2.5 -2.5 1.2628643221541278 -2.3561944901923448
+-2.5 -3 1.3622897515267105 -2.2655346029915999
+-2.5 -3.5 1.4588853660421397 -2.1910458127777179
+-2.5 -4 1.5511710043061246 -2.129395642138459
+-2.5 -4.5 1.6385723664960883 -2.0778948311872334
+-2.5 -5 1.7210096880912051 -2.0344439357957027
+-3 -0.0 1.0986122886681098 -3.1415926535897931
+-3 -0.5 1.112311775762167 -2.9764439761751662
+-3 -1 1.151292546497023 -2.819842099193151
+-3 -1.5 1.2101840643252146 -2.677945044588987
+-3 -2 1.2824746787307684 -2.5535900500422257
+-3 -2.5 1.3622897515267105 -2.4468543773930902
+-3 -3 1.4451858789480825 -2.3561944901923448
+-3 -3.5 1.5281784476852129 -2.2794225989225669
+-3 -4 1.6094379124341003 -2.2142974355881808
+-3 -4.5 1.6879397868389328 -2.158798930342464
+-3 -5 1.7631802623080806 -2.1112158270654806
+-3.5 -0.0 1.2527629684953681 -3.1415926535897931
+-3.5 -0.5 1.2628643221541278 -2.9996955989856291
+-3.5 -1 1.2919987762161156 -2.8632929945846817
+-3.5 -1.5 1.3370743247132644 -2.7367008673047097
+-3.5 -2 1.3940464543878732 -2.6224465393432701
+-3.5 -2.5 1.4588853660421397 -2.5213431676069717
+-3.5 -3 1.5281784476852129 -2.4329663814621232
+-3.5 -3.5 1.5993365587753408 -2.3561944901923448
+-3.5 -4 1.670546728796225 -2.2896263264165211
+-3.5 -4.5 1.7406200446678459 -2.2318394956455836
+-3.5 -5 1.8088259724127842 -2.1815222911841055
+-4 -0.0 1.3862943611198906 -3.1415926535897931
+-4 -0.5 1.3940464543878732 -3.0172376590430319
+-4 -1 1.4166066720281081 -2.8966139904629289
+-4 -1.5 1.4520825400142503 -2.7828219833192209
+-4 -2 1.4978661367769954 -2.677945044588987
+-4 -2.5 1.5511710043061246 -2.5829933382462307
+-4 -3 1.6094379124341003 -2.4980915447965089
+-4 -3.5 1.670546728796225 -2.4227626539681686
+-4 -4 1.7328679513998633 -2.3561944901923448
+-4 -4.5 1.7952196906503419 -2.2974386674766221
+-4 -5 1.8567860333521538 -2.2455372690184494
+-4.5 -0.0 1.5040773967762742 -3.1415926535897931
+-4.5 -0.5 1.5102124430721813 -3.0309354324158977
+-4.5 -1 1.5281784476852129 -2.9229237077158512
+-4.5 -1.5 1.5567576546051873 -2.819842099193151
+-4.5 -2 1.5942083086917462 -2.7233683240105639
+-4.5 -2.5 1.6385723664960883 -2.6344941491974563
+-4.5 -3 1.6879397868389328 -2.5535900500422257
+-4.5 -3.5 1.7406200446678459 -2.4805494847391065
+-4.5 -4 1.7952196906503419 -2.4149503129080676
+-4.5 -4.5 1.8506509870562469 -2.3561944901923448
+-4.5 -5 1.9061013350729674 -2.3036114285814033
+-5 -0.0 1.6094379124341003 -3.1415926535897931
+-5 -0.5 1.6144130778606842 -3.0419240010986313
+-5 -1 1.6290482690107408 -2.9441970937399127
+-5 -1.5 1.6525267605546266 -2.8501358591119264
+-5 -2 1.6836479149932368 -2.7610862764774282
+-5 -2.5 1.7210096880912051 -2.677945044588987
+-5 -3 1.7631802623080806 -2.6011731533192091
+-5 -3.5 1.8088259724127842 -2.5308666892005847
+-5 -4 1.8567860333521538 -2.4668517113662407
+-5 -4.5 1.9061013350729674 -2.4087775518032868
+-5 -5 1.956011502714073 -2.3561944901923448
diff --git a/commons-numbers-complex/src/test/resources/data/multiply.txt b/commons-numbers-complex/src/test/resources/data/multiply.txt
new file mode 100644
index 0000000..50ebe14
--- /dev/null
+++ b/commons-numbers-complex/src/test/resources/data/multiply.txt
@@ -0,0 +1,17 @@
+# (a + b i) (u + v i) (a + b i).multiply(u + v i)
+2 3 5 4 -2 23
+5 4 2 3 -2 23
+2 3 -5 4 -22 -7
+-5 4 2 3 -22 -7
+2 3 5 -4 22 7
+5 -4 2 3 22 7
+2 3 -5 -4 2 -23
+-5 -4 2 3 2 -23
+2 3 -1 12 -38 21
+-1 12 2 3 -38 21
+2 3 7 -9 41 3
+7 -9 2 3 41 3
+2 3 0.0 5 -15 10
+0.0 5 2 3 -15 10
+2 3 5 0.0 10 15
+5 0.0 2 3 10 15
diff --git a/commons-numbers-complex/src/test/resources/data/pow.txt b/commons-numbers-complex/src/test/resources/data/pow.txt
new file mode 100644
index 0000000..6714b3b
--- /dev/null
+++ b/commons-numbers-complex/src/test/resources/data/pow.txt
@@ -0,0 +1,17 @@
+# (a + b i) (u + v i) (a + b i).pow(u + v i)
+2 3 5 4 -9.7367145095888414 -6.9377513609299886
+5 4 2 3 4.3549103166315373 3.2198331430252147
+2 3 -5 4 3.1452105198427317e-05 6.8990150088148226e-06
+-5 4 2 3 -0.011821399482548249 -0.02208233453952109
+2 3 5 -4 30334.832969842264 -6653.9414970320349
+5 -4 2 3 -146.48661898442663 -273.63651239033993
+2 3 -5 -4 -0.068119398044204305 0.048537465694561743
+-5 -4 2 3 53964.514878760994 39899.038308625939
+2 3 -1 12 -5.5824460482771003e-07 2.0191622518316361e-06
+-1 12 2 3 -0.22408355253971604 -0.98998910763799719
+2 3 7 -9 -2729857.3750238167 54911428.403424568
+7 -9 2 3 1385.7129369399429 -1430.757158200254
+2 3 0.0 5 0.0072820947869755249 0.00094602869084606884
+0.0 5 2 3 -0.025976373555576252 0.22307493471553799
+2 3 5 0.0 122 -597
+5 0.0 2 3 2.8916321974293986 -24.83220616930339
diff --git a/commons-numbers-complex/src/test/resources/data/sinh.txt b/commons-numbers-complex/src/test/resources/data/sinh.txt
new file mode 100644
index 0000000..895b85c
--- /dev/null
+++ b/commons-numbers-complex/src/test/resources/data/sinh.txt
@@ -0,0 +1,122 @@
+# (a + b i) sinh(a + b i)
+0.0 0.0 0.0 0.0
+0.0 0.5 0.0 0.47942553860420301
+0.0 1 0.0 0.8414709848078965
+0.0 1.5 0.0 0.99749498660405445
+0.0 2 0.0 0.90929742682568171
+0.0 2.5 0.0 0.59847214410395644
+0.0 3 0.0 0.14112000805986721
+0.0 3.5 0.0 -0.35078322768961984
+0.0 4 0.0 -0.7568024953079282
+0.0 4.5 0.0 -0.97753011766509701
+0.0 5 0.0 -0.95892427466313845
+0.5 0.0 0.52109530549374738 0.0
+0.5 0.5 0.45730415318424927 0.54061268571315335
+0.5 1 0.28154899513533443 0.94886453143716798
+0.5 1.5 0.036860823712804462 1.1248012470579227
+0.5 2 -0.21685216292078974 1.0253473885839877
+0.5 2.5 -0.41747217708779472 0.67485272914435601
+0.5 3 -0.51588044245252673 0.15913058529843999
+0.5 3.5 -0.48798318354546016 -0.39555227570171719
+0.5 4 -0.34061062229796307 -0.85339014424219994
+0.5 4.5 -0.10984470150118086 -1.102288342450412
+0.5 5 0.14781503319098394 -1.08130791077685
+1 0.0 1.1752011936438014 0.0
+1 0.5 1.0313360742545512 0.73979226445601376
+1 1 0.63496391478473613 1.2984575814159773
+1 1.5 0.083130443834906753 1.5392151971540073
+1 2 -0.48905625904129368 1.4031192506220405
+1 2.5 -0.94150493327086715 0.92349077604317309
+1 3 -1.1634403637032504 0.21775955162215221
+1 3.5 -1.1005250166998639 -0.54128680566583875
+1 4 -0.76816276345657308 -1.1678072748895183
+1 4.5 -0.24772747510615167 -1.5084077945176777
+1 5 0.33336013894799293 -1.4796974784869428
+1.5 0.0 2.1292794550948173 0.0
+1.5 0.5 1.8686185191826468 1.1278052468056998
+1.5 1 1.1504545994253859 1.9794844356103001
+1.5 1.5 0.15061927022193863 2.3465167976443118
+1.5 2 -0.88609290936253138 2.1390400099806768
+1.5 2.5 -1.7058586411644667 1.4078516262453893
+1.5 3 -2.1079706837093544 0.33197206386323619
+1.5 3.5 -1.9939779848344446 -0.82518583768312304
+1.5 4 -1.3917899328586749 -1.7803094668024528
+1.5 4.5 -0.44884316494824705 -2.2995512479852369
+1.5 5 0.60399606369414349 -2.2557826840077233
+2 0.0 3.626860407847019 0.0
+2 0.5 3.1828694483371494 1.8036926955321817
+2 1 1.9596010414216063 3.1657785132161682
+2 1.5 0.25655395609048182 3.7527713404792982
+2 2 -1.5093064853236158 3.4209548611170133
+2 2.5 -2.9056360602265872 2.2515693217814872
+2 3 -3.5905645899857799 0.53092108624851975
+2 3.5 -3.396397682798566 -1.3197151477182962
+2 4 -2.3706741693520019 -2.8472390868488278
+2 4.5 -0.76452693909595615 -3.6776595965841032
+2 5 1.0288031496599337 -3.6076607742131563
+2.5 0.0 6.0502044810397875 0.0
+2.5 0.5 5.3095539484315095 2.9399761866646505
+2.5 1 3.2689394320795491 5.160143667579705
+2.5 1.5 0.42797453450615125 6.1169280123693124
+2.5 2 -2.5177734552480531 5.5760750444083884
+2.5 2.5 -4.8470826927384749 3.6700044331604613
+2.5 3 -5.9896570391277812 0.86538874079557826
+2.5 3.5 -5.665754445746451 -2.1511042968035272
+2.5 4 -3.9546775639520968 -4.6409319801600342
+2.5 4.5 -1.2753576903004678 -5.9944976566120793
+2.5 5 1.716214225591151 -5.8804012413108948
+3 0.0 10.017874927409903 0.0
+3 0.5 8.7915123434937144 4.826694274810821
+3 1 5.4126809231781934 8.47164545430015
+3 1.5 0.70863643902201889 10.042442367612491
+3 2 -4.1689069599665647 9.1544991469114301
+3 2.5 -8.0257565394421455 6.0252152607270375
+3 3 -9.9176210100175357 1.4207485419881773
+3 3.5 -9.3813059682158038 -3.5315669701670451
+3 4 -6.5481200409110025 -7.6192317203214106
+3 4.5 -2.111725953920935 -9.8414428153450668
+3 5 2.8416922956063524 -9.6541254768548406
+3.5 0.0 16.542627287634996 0.0
+3.5 0.5 14.517521235480308 7.9454353941146767
+3.5 1 8.9380196686263993 13.945551097003202
+3.5 1.5 1.1701791625590818 16.531309523247661
+3.5 2 -6.8841620139277389 15.069626828625593
+3.5 2.5 -13.253020235861266 9.9183739147466188
+3.5 3 -16.377076888816426 2.3387571511543745
+3.5 3.5 -15.491453948865001 -5.8134689300476472
+3.5 4 -10.81298279888693 -12.54235506535697
+3.5 4.5 -3.4871163437824504 -16.20043525074168
+3.5 5 4.6925178097141469 -15.892083876813002
+4 0.0 27.28991719712775 0.0
+4 0.5 23.949155447631512 13.092264235736186
+4 1 14.744805188558725 22.979085577886128
+4 1.5 1.9304123762681393 27.239825346942666
+4 2 -11.356612711218173 24.831305848946378
+4 2.5 -21.863142931283367 16.343216657060854
+4 3 -27.016813258003932 3.8537380379193769
+4 3.5 -25.555825454862386 -9.5792700567175242
+4 4 -17.837880289798733 -20.666938752747178
+4 4.5 -5.7525999119683275 -26.694620057417062
+4 5 7.741117553247741 -26.186527364609208
+4.5 0.0 45.003011151991785 0.0
+4.5 0.5 39.493857819545966 21.580918797003314
+4.5 1 24.315230696430771 37.878076011644538
+4.5 1.5 3.1833870755123259 44.901359174551253
+4.5 2 -18.727860725997154 40.931223621880427
+4.5 2.5 -36.053875064805673 26.939697000243871
+4.5 3 -44.552643364898032 6.352392998168388
+4.5 3.5 -42.143370741504995 -15.790198357309713
+4.5 4 -29.41593115915342 -34.066798452498411
+4.5 4.5 -9.486445712576403 -44.002658165383373
+4.5 5 12.765652495799936 -43.165132513028524
+5 0.0 74.203210577788752 0.0
+5 0.5 65.119443639346656 35.578144541286591
+5 1 40.092165777998403 62.445518467696537
+5 1.5 5.2489274710320686 74.024051609620827
+5 2 -30.879431343588244 67.478915238455883
+5 2.5 -59.447428407480153 44.412587007474023
+5 3 -73.460621695673666 10.472508533940392
+5 3.5 -69.488092764017438 -26.031605270205624
+5 4 -48.50245524177091 -56.162274220232348
+5 4.5 -15.64172509407547 -72.542459713356664
+5 5 21.04864488088355 -71.161721061921028
diff --git a/commons-numbers-complex/src/test/resources/data/sqrt.txt b/commons-numbers-complex/src/test/resources/data/sqrt.txt
new file mode 100644
index 0000000..1c964df
--- /dev/null
+++ b/commons-numbers-complex/src/test/resources/data/sqrt.txt
@@ -0,0 +1,243 @@
+# (a + b i) sqrt(a + b i)
+0.0 0.0 0.0 0.0
+0.0 0.5 0.5 0.5
+0.0 1 0.70710678118654757 0.70710678118654746
+0.0 1.5 0.8660254037844386 0.86602540378443871
+0.0 2 1 1
+0.0 2.5 1.1180339887498949 1.1180339887498949
+0.0 3 1.2247448713915889 1.2247448713915892
+0.0 3.5 1.3228756555322954 1.3228756555322951
+0.0 4 1.4142135623730951 1.4142135623730949
+0.0 4.5 1.5 1.5
+0.0 5 1.5811388300841898 1.5811388300841895
+0.5 0.0 0.70710678118654757 0.0
+0.5 0.5 0.77688698701501868 0.32179712645279129
+0.5 1 0.89945371997393364 0.55589297025142115
+0.5 1.5 1.0200830432087846 0.73523425861564329
+0.5 2 1.1317139242778693 0.88361553087551337
+0.5 2.5 1.2348096526988264 1.0123017723970438
+0.5 3 1.3306729998668174 1.1272491439670977
+0.5 3.5 1.4204812399206013 1.2319768475772459
+0.5 4 1.5051792043057988 1.3287454372733092
+0.5 4.5 1.5855113637354841 1.4191005195314228
+0.5 5 1.6620676596577597 1.5041505593790212
+1 0.0 1 0.0
+1 0.5 1.0290855136357462 0.24293413587832283
+1 1 1.09868411346781 0.45508986056222733
+1 1.5 1.1838022718621541 0.63355174916181656
+1 2 1.272019649514069 0.78615137775742328
+1 2.5 1.3587829855365521 0.91994086863429758
+1 3 1.442615274452683 1.0397782600555705
+1 3.5 1.5231636393769807 1.1489244850381291
+1 4 1.6004851804402409 1.2496210676876531
+1 4.5 1.6747794225877095 1.3434604997256978
+1 5 1.7462845577958914 1.4316108957382214
+1.5 0.0 1.2247448713915889 0.0
+1.5 0.5 1.2411967672541269 0.20141850719855617
+1.5 1 1.2850633520826891 0.38908587595285093
+1.5 1.5 1.345607733249115 0.55736897274590136
+1.5 2 1.4142135623730951 0.70710678118654746
+1.5 2.5 1.4858458781822983 0.84127164085765138
+1.5 3 1.5578995420516826 0.96283486804583596
+1.5 3.5 1.6290927771204369 1.0742175182270939
+1.5 4 1.6988233976283063 1.1772854098855481
+1.5 4.5 1.766835658777093 1.27346309138753
+1.5 5 1.8330511796531044 1.3638462623139154
+2 0.0 1.4142135623730951 0.0
+2 0.5 1.425053124063947 0.17543205637629383
+2 1 1.4553466902253549 0.34356074972251244
+2 1.5 1.5 0.5
+2 2 1.5537739740300374 0.64359425290558259
+2 2.5 1.6126937276985398 0.77510067691765838
+2 3 1.6741492280355401 0.89597747612983814
+2 3.5 1.7365380609346395 1.0077521704638683
+2 4 1.7989074399478673 1.1117859405028423
+2 4.5 1.8607026765308385 1.2092205962722542
+2 5 1.9216093264675971 1.3009928530039094
+2.5 0.0 1.5811388300841898 0.0
+2.5 0.5 1.5889477267670564 0.15733683102883511
+2.5 1 1.6113010897357534 0.31030823673184377
+2.5 1.5 1.6455205783311631 0.45578281419040484
+2.5 2 1.6884256155834085 0.5922677260818896
+2.5 2.5 1.7371721138005782 0.71956024971253707
+2.5 3 1.7895704565556125 0.83818996592458894
+2.5 3.5 1.8440665163601493 0.94898962942734877
+2.5 4 1.899603980574412 1.0528510260308201
+2.5 4.5 1.9554814075431017 1.1506118091027704
+2.5 5 2.0112396604767762 1.243014469696446
+3 0.0 1.7320508075688772 0.0
+3 0.5 1.7380134155335381 0.14384238796180673
+3 1 1.7553173018244279 0.28484878459314106
+3 1.5 1.7824283949502271 0.42077426623409642
+3 2 1.8173540210239707 0.55025052270033747
+3 2.5 1.8581072140693775 0.67272759641378144
+3 3 1.9029767059950162 0.78823876050321362
+3 3.5 1.9506117282337923 0.89715445399508653
+3 4 2 1
+3 4.5 2.0504056809807159 1.0973438187723989
+3 5 2.1013033925215678 1.189737764140758
+3.5 0.0 1.8708286933869707 0.0
+3.5 0.5 1.8755711004828286 0.13329273410943604
+3.5 1 1.889451632701967 0.26462704381852126
+3.5 1.5 1.9115290414916477 0.3923560582761238
+3.5 2 1.9405062321658844 0.51532944518495882
+3.5 2.5 1.9749889409211021 0.63291493643352792
+3.5 3 2.0136747786877658 0.74490678230448526
+3.5 3.5 2.0554497644440053 0.85139516920929037
+3.5 4 2.0994133592943678 0.95264707693020423
+3.5 4.5 2.1448632969837136 1.049017903921494
+3.5 5 2.1912642250384651 1.1408939056430383
+4 0.0 2 0.0
+4 0.5 2.0038873314322432 0.12475751309896096
+4 1 2.0153294551533829 0.24809839340235612
+4 1.5 2.0337160412234012 0.36878304777929094
+4 2 2.0581710272714924 0.48586827175664565
+4 2.5 2.0877009563187325 0.59874475614751821
+4 3 2.1213203435596424 0.70710678118654757
+4 3.5 2.1581326310455671 0.81088621469578726
+4 4 2.1973682269356201 0.91017972112445467
+4 4.5 2.2383919774467729 1.0051858756956715
+4 5 2.2806933416652981 1.0961578895015189
+4.5 0.0 2.1213203435596424 0.0
+4.5 0.5 2.1245814374917131 0.11767023639966973
+4.5 1 2.1342179163157686 0.23427785709115115
+4.5 1.5 2.14981586307439 0.34886708805257699
+4.5 2 2.1707635639214664 0.46066739677236351
+4.5 2.5 2.1963395764878322 0.56912875102805172
+4.5 3 2.2257950167519902 0.6739165056577795
+4.5 3.5 2.2584150554643063 0.77487970856633281
+4.5 4 2.293555895263526 0.87200839714883127
+4.5 4.5 2.3306609610450559 0.96539137935837394
+4.5 5 2.3692627570129123 1.0551805588468866
+5 0.0 2.2360679774997898 0.0
+5 0.5 2.2388543733973014 0.11166425247241199
+5 1 2.2471114250958699 0.22250788030178262
+5 1.5 2.260547859972807 0.33177797881661397
+5 2 2.2787238541708499 0.4388421169022545
+5 2.5 2.3011051631498152 0.54321724187910048
+5 3 2.3271175190399496 0.64457423732464691
+5 3.5 2.3561916101907809 0.74272397560158632
+5 4 2.3877944046161983 0.83759305078088142
+5 4.5 2.4214470904334102 0.92919643335972157
+5 5 2.4567323635131153 1.0176118640880409
+-0.0 -0.0 0.0 -0.0
+-0.0 -0.5 0.5 -0.5
+-0.0 -1 0.70710678118654746 -0.70710678118654757
+-0.0 -1.5 0.86602540378443871 -0.8660254037844386
+-0.0 -2 1 -1
+-0.0 -2.5 1.1180339887498949 -1.1180339887498949
+-0.0 -3 1.2247448713915892 -1.2247448713915889
+-0.0 -3.5 1.3228756555322951 -1.3228756555322954
+-0.0 -4 1.4142135623730949 -1.4142135623730951
+-0.0 -4.5 1.5 -1.5
+-0.0 -5 1.5811388300841895 -1.5811388300841898
+-0.5 -0.0 0.0 -0.70710678118654757
+-0.5 -0.5 0.32179712645279129 -0.77688698701501868
+-0.5 -1 0.55589297025142115 -0.89945371997393364
+-0.5 -1.5 0.73523425861564329 -1.0200830432087846
+-0.5 -2 0.88361553087551337 -1.1317139242778693
+-0.5 -2.5 1.0123017723970438 -1.2348096526988264
+-0.5 -3 1.1272491439670977 -1.3306729998668174
+-0.5 -3.5 1.2319768475772459 -1.4204812399206013
+-0.5 -4 1.3287454372733092 -1.5051792043057988
+-0.5 -4.5 1.4191005195314228 -1.5855113637354841
+-0.5 -5 1.5041505593790212 -1.6620676596577597
+-1 -0.0 0.0 -1
+-1 -0.5 0.24293413587832283 -1.0290855136357462
+-1 -1 0.45508986056222733 -1.09868411346781
+-1 -1.5 0.63355174916181656 -1.1838022718621541
+-1 -2 0.78615137775742328 -1.272019649514069
+-1 -2.5 0.91994086863429758 -1.3587829855365521
+-1 -3 1.0397782600555705 -1.442615274452683
+-1 -3.5 1.1489244850381291 -1.5231636393769807
+-1 -4 1.2496210676876531 -1.6004851804402409
+-1 -4.5 1.3434604997256978 -1.6747794225877095
+-1 -5 1.4316108957382214 -1.7462845577958914
+-1.5 -0.0 0.0 -1.2247448713915889
+-1.5 -0.5 0.20141850719855617 -1.2411967672541269
+-1.5 -1 0.38908587595285093 -1.2850633520826891
+-1.5 -1.5 0.55736897274590136 -1.345607733249115
+-1.5 -2 0.70710678118654746 -1.4142135623730951
+-1.5 -2.5 0.84127164085765138 -1.4858458781822983
+-1.5 -3 0.96283486804583596 -1.5578995420516826
+-1.5 -3.5 1.0742175182270939 -1.6290927771204369
+-1.5 -4 1.1772854098855481 -1.6988233976283063
+-1.5 -4.5 1.27346309138753 -1.766835658777093
+-1.5 -5 1.3638462623139154 -1.8330511796531044
+-2 -0.0 0.0 -1.4142135623730951
+-2 -0.5 0.17543205637629383 -1.425053124063947
+-2 -1 0.34356074972251244 -1.4553466902253549
+-2 -1.5 0.5 -1.5
+-2 -2 0.64359425290558259 -1.5537739740300374
+-2 -2.5 0.77510067691765838 -1.6126937276985398
+-2 -3 0.89597747612983814 -1.6741492280355401
+-2 -3.5 1.0077521704638683 -1.7365380609346395
+-2 -4 1.1117859405028423 -1.7989074399478673
+-2 -4.5 1.2092205962722542 -1.8607026765308385
+-2 -5 1.3009928530039094 -1.9216093264675971
+-2.5 -0.0 0.0 -1.5811388300841898
+-2.5 -0.5 0.15733683102883511 -1.5889477267670564
+-2.5 -1 0.31030823673184377 -1.6113010897357534
+-2.5 -1.5 0.45578281419040484 -1.6455205783311631
+-2.5 -2 0.5922677260818896 -1.6884256155834085
+-2.5 -2.5 0.71956024971253707 -1.7371721138005782
+-2.5 -3 0.83818996592458894 -1.7895704565556125
+-2.5 -3.5 0.94898962942734877 -1.8440665163601493
+-2.5 -4 1.0528510260308201 -1.899603980574412
+-2.5 -4.5 1.1506118091027704 -1.9554814075431017
+-2.5 -5 1.243014469696446 -2.0112396604767762
+-3 -0.0 0.0 -1.7320508075688772
+-3 -0.5 0.14384238796180673 -1.7380134155335381
+-3 -1 0.28484878459314106 -1.7553173018244279
+-3 -1.5 0.42077426623409642 -1.7824283949502271
+-3 -2 0.55025052270033747 -1.8173540210239707
+-3 -2.5 0.67272759641378144 -1.8581072140693775
+-3 -3 0.78823876050321362 -1.9029767059950162
+-3 -3.5 0.89715445399508653 -1.9506117282337923
+-3 -4 1 -2
+-3 -4.5 1.0973438187723989 -2.0504056809807159
+-3 -5 1.189737764140758 -2.1013033925215678
+-3.5 -0.0 0.0 -1.8708286933869707
+-3.5 -0.5 0.13329273410943604 -1.8755711004828286
+-3.5 -1 0.26462704381852126 -1.889451632701967
+-3.5 -1.5 0.3923560582761238 -1.9115290414916477
+-3.5 -2 0.51532944518495882 -1.9405062321658844
+-3.5 -2.5 0.63291493643352792 -1.9749889409211021
+-3.5 -3 0.74490678230448526 -2.0136747786877658
+-3.5 -3.5 0.85139516920929037 -2.0554497644440053
+-3.5 -4 0.95264707693020423 -2.0994133592943678
+-3.5 -4.5 1.049017903921494 -2.1448632969837136
+-3.5 -5 1.1408939056430383 -2.1912642250384651
+-4 -0.0 0.0 -2
+-4 -0.5 0.12475751309896096 -2.0038873314322432
+-4 -1 0.24809839340235612 -2.0153294551533829
+-4 -1.5 0.36878304777929094 -2.0337160412234012
+-4 -2 0.48586827175664565 -2.0581710272714924
+-4 -2.5 0.59874475614751821 -2.0877009563187325
+-4 -3 0.70710678118654757 -2.1213203435596424
+-4 -3.5 0.81088621469578726 -2.1581326310455671
+-4 -4 0.91017972112445467 -2.1973682269356201
+-4 -4.5 1.0051858756956715 -2.2383919774467729
+-4 -5 1.0961578895015189 -2.2806933416652981
+-4.5 -0.0 0.0 -2.1213203435596424
+-4.5 -0.5 0.11767023639966973 -2.1245814374917131
+-4.5 -1 0.23427785709115115 -2.1342179163157686
+-4.5 -1.5 0.34886708805257699 -2.14981586307439
+-4.5 -2 0.46066739677236351 -2.1707635639214664
+-4.5 -2.5 0.56912875102805172 -2.1963395764878322
+-4.5 -3 0.6739165056577795 -2.2257950167519902
+-4.5 -3.5 0.77487970856633281 -2.2584150554643063
+-4.5 -4 0.87200839714883127 -2.293555895263526
+-4.5 -4.5 0.96539137935837394 -2.3306609610450559
+-4.5 -5 1.0551805588468866 -2.3692627570129123
+-5 -0.0 0.0 -2.2360679774997898
+-5 -0.5 0.11166425247241199 -2.2388543733973014
+-5 -1 0.22250788030178262 -2.2471114250958699
+-5 -1.5 0.33177797881661397 -2.260547859972807
+-5 -2 0.4388421169022545 -2.2787238541708499
+-5 -2.5 0.54321724187910048 -2.3011051631498152
+-5 -3 0.64457423732464691 -2.3271175190399496
+-5 -3.5 0.74272397560158632 -2.3561916101907809
+-5 -4 0.83759305078088142 -2.3877944046161983
+-5 -4.5 0.92919643335972157 -2.4214470904334102
+-5 -5 1.0176118640880409 -2.4567323635131153
diff --git a/commons-numbers-complex/src/test/resources/data/tanh.txt b/commons-numbers-complex/src/test/resources/data/tanh.txt
new file mode 100644
index 0000000..30f2260
--- /dev/null
+++ b/commons-numbers-complex/src/test/resources/data/tanh.txt
@@ -0,0 +1,122 @@
+# (a + b i) tanh(a + b i)
+0.0 0.0 0.0 0.0
+0.0 0.5 0.0 0.54630248984379048
+0.0 1 0.0 1.5574077246549021
+0.0 1.5 0.0 14.101419947171721
+0.0 2 0.0 -2.1850398632615189
+0.0 2.5 0.0 -0.7470222972386602
+0.0 3 0.0 -0.1425465430742778
+0.0 3.5 0.0 0.37458564015859463
+0.0 4 0.0 1.1578212823495775
+0.0 4.5 0.0 4.6373320545511838
+0.0 5 0.0 -3.380515006246585
+0.5 0.0 0.46211715726000974 0.0
+0.5 0.5 0.56408314126749848 0.40389645531602569
+0.5 1 1.042830728344361 0.80687741216308495
+0.5 1.5 2.1247991277429965 0.25514922181365163
+0.5 2 1.3212865837711916 -0.85087812114493766
+0.5 2.5 0.64333149724089389 -0.52493665994918715
+0.5 3 0.46946999342588541 -0.11162105077158345
+0.5 3.5 0.51162818808559429 0.28602154670793489
+0.5 4 0.84088258866597276 0.70790782721996881
+0.5 4.5 1.8596415857688275 0.65213741916255907
+0.5 5 1.6692982861500605 -0.77274726485031864
+1 0.0 0.76159415595576485 0.0
+1 0.5 0.84296620484578311 0.19557731006593398
+1 1 1.0839233273386943 0.27175258531951174
+1 1.5 1.3082952992279355 0.050905362327228622
+1 2 1.1667362572409197 -0.24345820118572525
+1 2.5 0.89643791712786169 -0.23701383091627057
+1 3 0.76801764728691124 -0.05916853956605074
+1 3.5 0.80309604700217541 0.14547660539206481
+1 4 1.002810507583505 0.27355308280730739
+1 4.5 1.2721070413547244 0.14454893985282793
+1 5 1.2407479829240695 -0.18610947764730421
+1.5 0.0 0.90514825364486651 0.0
+1.5 0.5 0.94437298642262146 0.079324454803956682
+1.5 1 1.0379587828579326 0.094212920129544422
+1.5 1.5 1.1035734368075187 0.01554584115148238
+1.5 2 1.0641443991765371 -0.080391015310168179
+1.5 2.5 0.96778680215277413 -0.092637836268419885
+1.5 3 0.90841741793375763 -0.02533730030009158
+1.5 3.5 0.9257326109113867 0.060710871694121191
+1.5 4 1.0096463820896704 0.099711963019300881
+1.5 4.5 1.0940687171244692 0.045008142517137986
+1.5 5 1.085526003516625 -0.058949534368472854
+2 0.0 0.96402758007581679 0.0
+2 0.5 0.97994084996173791 0.030215987322877568
+2 1 1.0147936161466333 0.033812826079896691
+2 1.5 1.0369202821001851 0.0053620609220030556
+2 2 1.0238355945704725 -0.028392952868232284
+2 2.5 0.98905556055077481 -0.034753838905107304
+2 3 0.96538587902213313 -0.0098843750383224935
+2 3.5 0.97248185532763265 0.023411853609972968
+2 4 1.0046823121902351 0.036423369247403692
+2 4.5 1.0338224477663269 0.01561226214446799
+2 5 1.031008005152491 -0.020553016568255644
+2.5 0.0 0.9866142981514302 0.0
+2.5 0.5 0.99268176030463717 0.011257099146251948
+2.5 1 1.0055480118950599 0.012322138255828353
+2.5 1.5 1.0134287782038933 0.0019273435237456356
+2.5 2 1.0087947005319187 -0.010288750859582028
+2.5 2.5 0.99610167731576527 -0.012872570755000074
+2.5 3 0.9871370665772804 -0.0037171086412651618
+2.5 3.5 0.98985324001586439 0.0087640454951346293
+2.5 4 1.0018735316286926 0.013358072149067335
+2.5 4.5 1.0123384296816598 0.0056224437857046797
+2.5 5 1.0113441956285463 -0.0074146736847805223
+3 0.0 0.99505475368673058 0.0
+3 0.5 0.99731636528320211 0.0041604265928938304
+3 1 1.0020549882458119 0.0045171372766584245
+3 1.5 1.0049197189087831 0.00070304922435774687
+3 2 1.0032386273536098 -0.003764025641504248
+3 2.5 0.99858345578407059 -0.0047471663649117967
+3 3 0.99525030117860314 -0.0013786327196592897
+3 3.5 0.99626422318841701 0.0032448663832883632
+3 4 1.0007095360672331 0.0049082580674960604
+3 4.5 1.0045250553806742 0.0020523368411260227
+3 5 1.0041647106948155 -0.0027082358362240724
+3.5 0.0 0.99817789761119879 0.0
+3.5 0.5 0.99901392556700208 0.0015331324323737694
+3.5 1 1.0007578650873443 0.0016596020306081799
+3.5 1.5 1.0018071108086137 0.00025783489040553232
+3.5 2 1.0011918484035776 -0.0013818752668270382
+3.5 2.5 0.99948127286602395 -0.0017479457815338076
+3.5 3 0.99825027844029568 -0.00050869669345581534
+3.5 3.5 0.99862528849210275 0.0011965422934573184
+3.5 4 1.0002637644287953 0.0018048333108071162
+3.5 4.5 1.0016627850956348 0.00075285721538218692
+3.5 5 1.0015309468194109 -0.00099368585958443012
+4 0.0 0.99932929973906703 0.0
+4 0.5 0.99963740394963996 0.00056435949051924475
+4 1 1.0002790562344657 0.00061024092137625997
+4 1.5 1.0006644271437029 9.4743896780242226e-05
+4 2 1.0004385132020521 -0.00050798062347003872
+4 2.5 0.99980949508290229 -0.0006432440221791259
+4 3 0.99935598738147335 -0.0001873462046294785
+4 3.5 0.99949421875397682 0.00044056600862506023
+4 4 1.0000974040746433 0.00066385016481112515
+4 4.5 1.0006114489437932 0.00027666979732894273
+4 5 1.0005630461157935 -0.0003652030545113042
+4.5 0.0 0.9997532108480276 0.0
+4.5 0.5 0.99986663012447585 0.00020766384212757996
+4.5 1 1.0001026932855714 0.00022445548572470905
+4.5 1.5 1.0002443788102788 3.4839697628939659e-05
+4.5 2 1.0001613276272889 -0.0001868238331855109
+4.5 2.5 0.99992996105530152 -0.00023666474043523337
+4.5 3 0.9997630368473448 -6.8948882616261698e-05
+4.5 3.5 0.99981392630805066 0.00016212700415590609
+4.5 4 1.0000358830894707 0.00024420178089365013
+4.5 4.5 1.0002249049285517 0.00010174180168501476
+4.5 5 1.0002071117356188 -0.00013430288941751654
+5 0.0 0.99990920426259533 0.0
+5 0.5 0.99995093891122622 7.6401698837941958e-05
+5 1 1.0000377833796006 8.2567198342295967e-05
+5 1.5 1.0000898951379096 1.281482882166464e-05
+5 2 1.0000593501490003 -6.8721638801192764e-05
+5 2.5 0.9999742400546392 -8.7067946690634452e-05
+5 3 0.99991282015135385 -2.536867620767604e-05
+5 3.5 0.9999315463449856 5.9650207442154342e-05
+5 4 1.0000132074347847 8.9834776469715626e-05
+5 4.5 1.0000827332218711 3.7423396546759517e-05
+5 5 1.0000761892591823 -4.940080407311289e-05
diff --git a/pom.xml b/pom.xml
index 3bff646..a1fb00f 100644
--- a/pom.xml
+++ b/pom.xml
@@ -317,8 +317,7 @@
<!-- version 0.8 of apache-rat-plugin does not exclude properly
some default development tools files (see RAT-126) -->
<exclude>.ekstazi/**</exclude>
- <exclude>src/site/resources/txt/userguide/stress/dh/**</exclude>
- <exclude>src/site/resources/txt/userguide/stress/tu/**</exclude>
+ <exclude>src/test/resources/data/**</exclude>
<exclude>dist-archive/**</exclude>
</excludes>
</configuration>