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Posted to commits@commons.apache.org by er...@apache.org on 2018/02/28 02:45:53 UTC
[4/5] [math] MATH-1416: Depend on "Commons Numbers".
MATH-1416: Depend on "Commons Numbers".
Project: http://git-wip-us.apache.org/repos/asf/commons-math/repo
Commit: http://git-wip-us.apache.org/repos/asf/commons-math/commit/35378d9c
Tree: http://git-wip-us.apache.org/repos/asf/commons-math/tree/35378d9c
Diff: http://git-wip-us.apache.org/repos/asf/commons-math/diff/35378d9c
Branch: refs/heads/master
Commit: 35378d9c4a3a656b881e77fb405fabd22f7803eb
Parents: 56b28f3
Author: Gilles <er...@apache.org>
Authored: Wed Feb 28 03:32:19 2018 +0100
Committer: Gilles <er...@apache.org>
Committed: Wed Feb 28 03:32:19 2018 +0100
----------------------------------------------------------------------
.../commons/math4/complex/ComplexFormat.java | 1 +
.../commons/math4/complex/ComplexUtils.java | 1 +
.../org/apache/commons/math4/TestUtils.java | 4 +-
.../complex/ComplexFormatAbstractTest.java | 8 +-
.../commons/math4/complex/ComplexTest.java | 1491 ------------------
.../commons/math4/complex/ComplexUtilsTest.java | 17 +-
6 files changed, 15 insertions(+), 1507 deletions(-)
----------------------------------------------------------------------
http://git-wip-us.apache.org/repos/asf/commons-math/blob/35378d9c/src/main/java/org/apache/commons/math4/complex/ComplexFormat.java
----------------------------------------------------------------------
diff --git a/src/main/java/org/apache/commons/math4/complex/ComplexFormat.java b/src/main/java/org/apache/commons/math4/complex/ComplexFormat.java
index f1ca864..87b6edd 100644
--- a/src/main/java/org/apache/commons/math4/complex/ComplexFormat.java
+++ b/src/main/java/org/apache/commons/math4/complex/ComplexFormat.java
@@ -22,6 +22,7 @@ import java.text.NumberFormat;
import java.text.ParsePosition;
import java.util.Locale;
+import org.apache.commons.numbers.complex.Complex;
import org.apache.commons.math4.exception.MathIllegalArgumentException;
import org.apache.commons.math4.exception.MathParseException;
import org.apache.commons.math4.exception.NoDataException;
http://git-wip-us.apache.org/repos/asf/commons-math/blob/35378d9c/src/main/java/org/apache/commons/math4/complex/ComplexUtils.java
----------------------------------------------------------------------
diff --git a/src/main/java/org/apache/commons/math4/complex/ComplexUtils.java b/src/main/java/org/apache/commons/math4/complex/ComplexUtils.java
index a95c099..13410bd 100644
--- a/src/main/java/org/apache/commons/math4/complex/ComplexUtils.java
+++ b/src/main/java/org/apache/commons/math4/complex/ComplexUtils.java
@@ -17,6 +17,7 @@
package org.apache.commons.math4.complex;
+import org.apache.commons.numbers.complex.Complex;
import org.apache.commons.math4.exception.MathIllegalArgumentException;
import org.apache.commons.math4.exception.OutOfRangeException;
import org.apache.commons.math4.exception.util.LocalizedFormats;
http://git-wip-us.apache.org/repos/asf/commons-math/blob/35378d9c/src/test/java/org/apache/commons/math4/TestUtils.java
----------------------------------------------------------------------
diff --git a/src/test/java/org/apache/commons/math4/TestUtils.java b/src/test/java/org/apache/commons/math4/TestUtils.java
index 992e0d8..75fa790 100644
--- a/src/test/java/org/apache/commons/math4/TestUtils.java
+++ b/src/test/java/org/apache/commons/math4/TestUtils.java
@@ -23,8 +23,9 @@ import java.io.ObjectInputStream;
import java.io.ObjectOutputStream;
import java.text.DecimalFormat;
+import org.apache.commons.numbers.complex.Complex;
+import org.apache.commons.numbers.core.Precision;
import org.apache.commons.math4.FieldElement;
-import org.apache.commons.math4.complex.Complex;
import org.apache.commons.math4.complex.ComplexFormat;
import org.apache.commons.math4.distribution.RealDistribution;
import org.apache.commons.math4.linear.FieldMatrix;
@@ -32,7 +33,6 @@ import org.apache.commons.math4.linear.RealMatrix;
import org.apache.commons.math4.linear.RealVector;
import org.apache.commons.math4.stat.inference.ChiSquareTest;
import org.apache.commons.math4.util.FastMath;
-import org.apache.commons.numbers.core.Precision;
import org.junit.Assert;
/**
http://git-wip-us.apache.org/repos/asf/commons-math/blob/35378d9c/src/test/java/org/apache/commons/math4/complex/ComplexFormatAbstractTest.java
----------------------------------------------------------------------
diff --git a/src/test/java/org/apache/commons/math4/complex/ComplexFormatAbstractTest.java b/src/test/java/org/apache/commons/math4/complex/ComplexFormatAbstractTest.java
index dd53848..e74da21 100644
--- a/src/test/java/org/apache/commons/math4/complex/ComplexFormatAbstractTest.java
+++ b/src/test/java/org/apache/commons/math4/complex/ComplexFormatAbstractTest.java
@@ -22,14 +22,12 @@ import java.text.NumberFormat;
import java.text.ParsePosition;
import java.util.Arrays;
import java.util.Locale;
-
+import org.junit.Test;
+import org.junit.Assert;
+import org.apache.commons.numbers.complex.Complex;
import org.apache.commons.math4.exception.MathIllegalArgumentException;
import org.apache.commons.math4.exception.NoDataException;
import org.apache.commons.math4.exception.NullArgumentException;
-import org.junit.Test;
-import org.junit.Assert;
-import org.apache.commons.math4.complex.Complex;
-import org.apache.commons.math4.complex.ComplexFormat;
import org.apache.commons.math4.util.FastMath;
public abstract class ComplexFormatAbstractTest {
http://git-wip-us.apache.org/repos/asf/commons-math/blob/35378d9c/src/test/java/org/apache/commons/math4/complex/ComplexTest.java
----------------------------------------------------------------------
diff --git a/src/test/java/org/apache/commons/math4/complex/ComplexTest.java b/src/test/java/org/apache/commons/math4/complex/ComplexTest.java
deleted file mode 100644
index 9032692..0000000
--- a/src/test/java/org/apache/commons/math4/complex/ComplexTest.java
+++ /dev/null
@@ -1,1491 +0,0 @@
-/*
- * Licensed to the Apache Software Foundation (ASF) under one or more
- * contributor license agreements. See the NOTICE file distributed with
- * this work for additional information regarding copyright ownership.
- * The ASF licenses this file to You under the Apache License, Version 2.0
- * (the "License"); you may not use this file except in compliance with
- * the License. You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-package org.apache.commons.math4.complex;
-
-import java.util.List;
-
-import org.apache.commons.math4.TestUtils;
-import org.apache.commons.math4.complex.Complex;
-import org.apache.commons.math4.complex.ComplexUtils;
-import org.apache.commons.math4.exception.NullArgumentException;
-import org.apache.commons.math4.util.FastMath;
-import org.junit.Assert;
-import org.junit.Ignore;
-import org.junit.Test;
-
-
-/**
- */
-public class ComplexTest {
-
-
- private double inf = Double.POSITIVE_INFINITY;
- private double neginf = Double.NEGATIVE_INFINITY;
- private double nan = Double.NaN;
- private double pi = FastMath.PI;
- private Complex oneInf = new Complex(1, inf);
- private Complex oneNegInf = new Complex(1, neginf);
- private Complex infOne = new Complex(inf, 1);
- private Complex infZero = new Complex(inf, 0);
- private Complex infNaN = new Complex(inf, nan);
- private Complex infNegInf = new Complex(inf, neginf);
- private Complex infInf = new Complex(inf, inf);
- private Complex negInfInf = new Complex(neginf, inf);
- private Complex negInfZero = new Complex(neginf, 0);
- private Complex negInfOne = new Complex(neginf, 1);
- private Complex negInfNaN = new Complex(neginf, nan);
- private Complex negInfNegInf = new Complex(neginf, neginf);
- private Complex oneNaN = new Complex(1, nan);
- private Complex zeroInf = new Complex(0, inf);
- private Complex zeroNaN = new Complex(0, nan);
- private Complex nanInf = new Complex(nan, inf);
- private Complex nanNegInf = new Complex(nan, neginf);
- private Complex nanZero = new Complex(nan, 0);
-
- @Test
- public void testConstructor() {
- Complex z = new Complex(3.0, 4.0);
- Assert.assertEquals(3.0, z.getReal(), 1.0e-5);
- Assert.assertEquals(4.0, z.getImaginary(), 1.0e-5);
- }
-
- @Test
- public void testConstructorNaN() {
- Complex z = new Complex(3.0, Double.NaN);
- Assert.assertTrue(z.isNaN());
-
- z = new Complex(nan, 4.0);
- Assert.assertTrue(z.isNaN());
-
- z = new Complex(3.0, 4.0);
- Assert.assertFalse(z.isNaN());
- }
-
- @Test
- public void testAbs() {
- Complex z = new Complex(3.0, 4.0);
- Assert.assertEquals(5.0, z.abs(), 1.0e-5);
- }
-
- @Test
- public void testAbsNaN() {
- Assert.assertTrue(Double.isNaN(Complex.NaN.abs()));
- Complex z = new Complex(inf, nan);
- Assert.assertTrue(Double.isNaN(z.abs()));
- }
-
- @Test
- public void testAbsInfinite() {
- Complex z = new Complex(inf, 0);
- Assert.assertEquals(inf, z.abs(), 0);
- z = new Complex(0, neginf);
- Assert.assertEquals(inf, z.abs(), 0);
- z = new Complex(inf, neginf);
- Assert.assertEquals(inf, z.abs(), 0);
- }
-
- @Test
- public void testAdd() {
- Complex x = new Complex(3.0, 4.0);
- Complex y = new Complex(5.0, 6.0);
- Complex z = x.add(y);
- Assert.assertEquals(8.0, z.getReal(), 1.0e-5);
- Assert.assertEquals(10.0, z.getImaginary(), 1.0e-5);
- }
-
- @Test
- public void testAddNaN() {
- Complex x = new Complex(3.0, 4.0);
- Complex z = x.add(Complex.NaN);
- Assert.assertSame(Complex.NaN, z);
- z = new Complex(1, nan);
- Complex w = x.add(z);
- Assert.assertSame(Complex.NaN, w);
- }
-
- @Test
- public void testAddInf() {
- Complex x = new Complex(1, 1);
- Complex z = new Complex(inf, 0);
- Complex w = x.add(z);
- Assert.assertEquals(w.getImaginary(), 1, 0);
- Assert.assertEquals(inf, w.getReal(), 0);
-
- x = new Complex(neginf, 0);
- Assert.assertTrue(Double.isNaN(x.add(z).getReal()));
- }
-
-
- @Test
- public void testScalarAdd() {
- Complex x = new Complex(3.0, 4.0);
- double yDouble = 2.0;
- Complex yComplex = new Complex(yDouble);
- Assert.assertEquals(x.add(yComplex), x.add(yDouble));
- }
-
- @Test
- public void testScalarAddNaN() {
- Complex x = new Complex(3.0, 4.0);
- double yDouble = Double.NaN;
- Complex yComplex = new Complex(yDouble);
- Assert.assertEquals(x.add(yComplex), x.add(yDouble));
- }
-
- @Test
- public void testScalarAddInf() {
- Complex x = new Complex(1, 1);
- double yDouble = Double.POSITIVE_INFINITY;
-
- Complex yComplex = new Complex(yDouble);
- Assert.assertEquals(x.add(yComplex), x.add(yDouble));
-
- x = new Complex(neginf, 0);
- Assert.assertEquals(x.add(yComplex), x.add(yDouble));
- }
-
- @Test
- public void testConjugate() {
- Complex x = new Complex(3.0, 4.0);
- Complex z = x.conjugate();
- Assert.assertEquals(3.0, z.getReal(), 1.0e-5);
- Assert.assertEquals(-4.0, z.getImaginary(), 1.0e-5);
- }
-
- @Test
- public void testConjugateNaN() {
- Complex z = Complex.NaN.conjugate();
- Assert.assertTrue(z.isNaN());
- }
-
- @Test
- public void testConjugateInfiinite() {
- Complex z = new Complex(0, inf);
- Assert.assertEquals(neginf, z.conjugate().getImaginary(), 0);
- z = new Complex(0, neginf);
- Assert.assertEquals(inf, z.conjugate().getImaginary(), 0);
- }
-
- @Test
- public void testDivide() {
- Complex x = new Complex(3.0, 4.0);
- Complex y = new Complex(5.0, 6.0);
- Complex z = x.divide(y);
- Assert.assertEquals(39.0 / 61.0, z.getReal(), 1.0e-5);
- Assert.assertEquals(2.0 / 61.0, z.getImaginary(), 1.0e-5);
- }
-
- @Test
- public void testDivideReal() {
- Complex x = new Complex(2d, 3d);
- Complex y = new Complex(2d, 0d);
- Assert.assertEquals(new Complex(1d, 1.5), x.divide(y));
-
- }
-
- @Test
- public void testDivideImaginary() {
- Complex x = new Complex(2d, 3d);
- Complex y = new Complex(0d, 2d);
- Assert.assertEquals(new Complex(1.5d, -1d), x.divide(y));
- }
-
- @Test
- public void testDivideInf() {
- Complex x = new Complex(3, 4);
- Complex w = new Complex(neginf, inf);
- Assert.assertTrue(x.divide(w).equals(Complex.ZERO));
-
- Complex z = w.divide(x);
- Assert.assertTrue(Double.isNaN(z.getReal()));
- Assert.assertEquals(inf, z.getImaginary(), 0);
-
- w = new Complex(inf, inf);
- z = w.divide(x);
- Assert.assertTrue(Double.isNaN(z.getImaginary()));
- Assert.assertEquals(inf, z.getReal(), 0);
-
- w = new Complex(1, inf);
- z = w.divide(w);
- Assert.assertTrue(Double.isNaN(z.getReal()));
- Assert.assertTrue(Double.isNaN(z.getImaginary()));
- }
-
- @Test
- public void testDivideZero() {
- Complex x = new Complex(3.0, 4.0);
- Complex z = x.divide(Complex.ZERO);
- // Assert.assertEquals(z, Complex.INF); // See MATH-657
- Assert.assertEquals(z, Complex.NaN);
- }
-
- @Test
- public void testDivideZeroZero() {
- Complex x = new Complex(0.0, 0.0);
- Complex z = x.divide(Complex.ZERO);
- Assert.assertEquals(z, Complex.NaN);
- }
-
- @Test
- public void testDivideNaN() {
- Complex x = new Complex(3.0, 4.0);
- Complex z = x.divide(Complex.NaN);
- Assert.assertTrue(z.isNaN());
- }
-
- @Test
- public void testDivideNaNInf() {
- Complex z = oneInf.divide(Complex.ONE);
- Assert.assertTrue(Double.isNaN(z.getReal()));
- Assert.assertEquals(inf, z.getImaginary(), 0);
-
- z = negInfNegInf.divide(oneNaN);
- Assert.assertTrue(Double.isNaN(z.getReal()));
- Assert.assertTrue(Double.isNaN(z.getImaginary()));
-
- z = negInfInf.divide(Complex.ONE);
- Assert.assertTrue(Double.isNaN(z.getReal()));
- Assert.assertTrue(Double.isNaN(z.getImaginary()));
- }
-
- @Test
- public void testScalarDivide() {
- Complex x = new Complex(3.0, 4.0);
- double yDouble = 2.0;
- Complex yComplex = new Complex(yDouble);
- Assert.assertEquals(x.divide(yComplex), x.divide(yDouble));
- }
-
- @Test
- public void testScalarDivideNaN() {
- Complex x = new Complex(3.0, 4.0);
- double yDouble = Double.NaN;
- Complex yComplex = new Complex(yDouble);
- Assert.assertEquals(x.divide(yComplex), x.divide(yDouble));
- }
-
- @Test
- public void testScalarDivideInf() {
- Complex x = new Complex(1,1);
- double yDouble = Double.POSITIVE_INFINITY;
- Complex yComplex = new Complex(yDouble);
- TestUtils.assertEquals(x.divide(yComplex), x.divide(yDouble), 0);
-
- yDouble = Double.NEGATIVE_INFINITY;
- yComplex = new Complex(yDouble);
- TestUtils.assertEquals(x.divide(yComplex), x.divide(yDouble), 0);
-
- x = new Complex(1, Double.NEGATIVE_INFINITY);
- TestUtils.assertEquals(x.divide(yComplex), x.divide(yDouble), 0);
- }
-
- @Test
- public void testScalarDivideZero() {
- Complex x = new Complex(1,1);
- TestUtils.assertEquals(x.divide(Complex.ZERO), x.divide(0), 0);
- }
-
- @Test
- public void testReciprocal() {
- Complex z = new Complex(5.0, 6.0);
- Complex act = z.reciprocal();
- double expRe = 5.0 / 61.0;
- double expIm = -6.0 / 61.0;
- Assert.assertEquals(expRe, act.getReal(), FastMath.ulp(expRe));
- Assert.assertEquals(expIm, act.getImaginary(), FastMath.ulp(expIm));
- }
-
- @Test
- public void testReciprocalReal() {
- Complex z = new Complex(-2.0, 0.0);
- Assert.assertTrue(Complex.equals(new Complex(-0.5, 0.0), z.reciprocal()));
- }
-
- @Test
- public void testReciprocalImaginary() {
- Complex z = new Complex(0.0, -2.0);
- Assert.assertEquals(new Complex(0.0, 0.5), z.reciprocal());
- }
-
- @Test
- public void testReciprocalInf() {
- Complex z = new Complex(neginf, inf);
- Assert.assertTrue(z.reciprocal().equals(Complex.ZERO));
-
- z = new Complex(1, inf).reciprocal();
- Assert.assertEquals(z, Complex.ZERO);
- }
-
- @Test
- public void testReciprocalZero() {
- Assert.assertEquals(Complex.ZERO.reciprocal(), Complex.INF);
- }
-
- @Test
- public void testReciprocalNaN() {
- Assert.assertTrue(Complex.NaN.reciprocal().isNaN());
- }
-
- @Test
- public void testMultiply() {
- Complex x = new Complex(3.0, 4.0);
- Complex y = new Complex(5.0, 6.0);
- Complex z = x.multiply(y);
- Assert.assertEquals(-9.0, z.getReal(), 1.0e-5);
- Assert.assertEquals(38.0, z.getImaginary(), 1.0e-5);
- }
-
- @Test
- public void testMultiplyNaN() {
- Complex x = new Complex(3.0, 4.0);
- Complex z = x.multiply(Complex.NaN);
- Assert.assertSame(Complex.NaN, z);
- z = Complex.NaN.multiply(5);
- Assert.assertSame(Complex.NaN, z);
- }
-
- @Test
- public void testMultiplyInfInf() {
- // Assert.assertTrue(infInf.multiply(infInf).isNaN()); // MATH-620
- Assert.assertTrue(infInf.multiply(infInf).isInfinite());
- }
-
- @Test
- public void testMultiplyNaNInf() {
- Complex z = new Complex(1,1);
- Complex w = z.multiply(infOne);
- Assert.assertEquals(w.getReal(), inf, 0);
- Assert.assertEquals(w.getImaginary(), inf, 0);
-
- // [MATH-164]
- Assert.assertTrue(new Complex( 1,0).multiply(infInf).equals(Complex.INF));
- Assert.assertTrue(new Complex(-1,0).multiply(infInf).equals(Complex.INF));
- Assert.assertTrue(new Complex( 1,0).multiply(negInfZero).equals(Complex.INF));
-
- w = oneInf.multiply(oneNegInf);
- Assert.assertEquals(w.getReal(), inf, 0);
- Assert.assertEquals(w.getImaginary(), inf, 0);
-
- w = negInfNegInf.multiply(oneNaN);
- Assert.assertTrue(Double.isNaN(w.getReal()));
- Assert.assertTrue(Double.isNaN(w.getImaginary()));
-
- z = new Complex(1, neginf);
- Assert.assertSame(Complex.INF, z.multiply(z));
- }
-
- @Test
- public void testScalarMultiply() {
- Complex x = new Complex(3.0, 4.0);
- double yDouble = 2.0;
- Complex yComplex = new Complex(yDouble);
- Assert.assertEquals(x.multiply(yComplex), x.multiply(yDouble));
- int zInt = -5;
- Complex zComplex = new Complex(zInt);
- Assert.assertEquals(x.multiply(zComplex), x.multiply(zInt));
- }
-
- @Test
- public void testScalarMultiplyNaN() {
- Complex x = new Complex(3.0, 4.0);
- double yDouble = Double.NaN;
- Complex yComplex = new Complex(yDouble);
- Assert.assertEquals(x.multiply(yComplex), x.multiply(yDouble));
- }
-
- @Test
- public void testScalarMultiplyInf() {
- Complex x = new Complex(1, 1);
- double yDouble = Double.POSITIVE_INFINITY;
- Complex yComplex = new Complex(yDouble);
- Assert.assertEquals(x.multiply(yComplex), x.multiply(yDouble));
-
- yDouble = Double.NEGATIVE_INFINITY;
- yComplex = new Complex(yDouble);
- Assert.assertEquals(x.multiply(yComplex), x.multiply(yDouble));
- }
-
- @Test
- public void testNegate() {
- Complex x = new Complex(3.0, 4.0);
- Complex z = x.negate();
- Assert.assertEquals(-3.0, z.getReal(), 1.0e-5);
- Assert.assertEquals(-4.0, z.getImaginary(), 1.0e-5);
- }
-
- @Test
- public void testNegateNaN() {
- Complex z = Complex.NaN.negate();
- Assert.assertTrue(z.isNaN());
- }
-
- @Test
- public void testSubtract() {
- Complex x = new Complex(3.0, 4.0);
- Complex y = new Complex(5.0, 6.0);
- Complex z = x.subtract(y);
- Assert.assertEquals(-2.0, z.getReal(), 1.0e-5);
- Assert.assertEquals(-2.0, z.getImaginary(), 1.0e-5);
- }
-
- @Test
- public void testSubtractNaN() {
- Complex x = new Complex(3.0, 4.0);
- Complex z = x.subtract(Complex.NaN);
- Assert.assertSame(Complex.NaN, z);
- z = new Complex(1, nan);
- Complex w = x.subtract(z);
- Assert.assertSame(Complex.NaN, w);
- }
-
- @Test
- public void testSubtractInf() {
- Complex x = new Complex(1, 1);
- Complex z = new Complex(neginf, 0);
- Complex w = x.subtract(z);
- Assert.assertEquals(w.getImaginary(), 1, 0);
- Assert.assertEquals(inf, w.getReal(), 0);
-
- x = new Complex(neginf, 0);
- Assert.assertTrue(Double.isNaN(x.subtract(z).getReal()));
- }
-
- @Test
- public void testScalarSubtract() {
- Complex x = new Complex(3.0, 4.0);
- double yDouble = 2.0;
- Complex yComplex = new Complex(yDouble);
- Assert.assertEquals(x.subtract(yComplex), x.subtract(yDouble));
- }
-
- @Test
- public void testScalarSubtractNaN() {
- Complex x = new Complex(3.0, 4.0);
- double yDouble = Double.NaN;
- Complex yComplex = new Complex(yDouble);
- Assert.assertEquals(x.subtract(yComplex), x.subtract(yDouble));
- }
-
- @Test
- public void testScalarSubtractInf() {
- Complex x = new Complex(1, 1);
- double yDouble = Double.POSITIVE_INFINITY;
- Complex yComplex = new Complex(yDouble);
- Assert.assertEquals(x.subtract(yComplex), x.subtract(yDouble));
-
- x = new Complex(neginf, 0);
- Assert.assertEquals(x.subtract(yComplex), x.subtract(yDouble));
- }
-
-
- @Test
- public void testEqualsNull() {
- Complex x = new Complex(3.0, 4.0);
- Assert.assertFalse(x.equals(null));
- }
-
- @Test(expected=NullPointerException.class)
- public void testFloatingPointEqualsPrecondition1() {
- Complex.equals(new Complex(3.0, 4.0), null, 3);
- }
- @Test(expected=NullPointerException.class)
- public void testFloatingPointEqualsPrecondition2() {
- Complex.equals(null, new Complex(3.0, 4.0), 3);
- }
-
- @Test
- public void testEqualsClass() {
- Complex x = new Complex(3.0, 4.0);
- Assert.assertFalse(x.equals(this));
- }
-
- @Test
- public void testEqualsSame() {
- Complex x = new Complex(3.0, 4.0);
- Assert.assertTrue(x.equals(x));
- }
-
- @Test
- public void testFloatingPointEquals() {
- double re = -3.21;
- double im = 456789e10;
-
- final Complex x = new Complex(re, im);
- Complex y = new Complex(re, im);
-
- Assert.assertTrue(x.equals(y));
- Assert.assertTrue(Complex.equals(x, y));
-
- final int maxUlps = 5;
- for (int i = 0; i < maxUlps; i++) {
- re = FastMath.nextUp(re);
- im = FastMath.nextUp(im);
- }
- y = new Complex(re, im);
- Assert.assertTrue(Complex.equals(x, y, maxUlps));
-
- re = FastMath.nextUp(re);
- im = FastMath.nextUp(im);
- y = new Complex(re, im);
- Assert.assertFalse(Complex.equals(x, y, maxUlps));
- }
-
- @Test
- public void testFloatingPointEqualsNaN() {
- Complex c = new Complex(Double.NaN, 1);
- Assert.assertFalse(Complex.equals(c, c));
-
- c = new Complex(1, Double.NaN);
- Assert.assertFalse(Complex.equals(c, c));
- }
-
- @Test
- public void testFloatingPointEqualsWithAllowedDelta() {
- final double re = 153.0000;
- final double im = 152.9375;
- final double tol1 = 0.0625;
- final Complex x = new Complex(re, im);
- final Complex y = new Complex(re + tol1, im + tol1);
- Assert.assertTrue(Complex.equals(x, y, tol1));
-
- final double tol2 = 0.0624;
- Assert.assertFalse(Complex.equals(x, y, tol2));
- }
-
- @Test
- public void testFloatingPointEqualsWithAllowedDeltaNaN() {
- final Complex x = new Complex(0, Double.NaN);
- final Complex y = new Complex(Double.NaN, 0);
- Assert.assertFalse(Complex.equals(x, Complex.ZERO, 0.1));
- Assert.assertFalse(Complex.equals(x, x, 0.1));
- Assert.assertFalse(Complex.equals(x, y, 0.1));
- }
-
- @Test
- public void testFloatingPointEqualsWithRelativeTolerance() {
- final double tol = 1e-4;
- final double re = 1;
- final double im = 1e10;
-
- final double f = 1 + tol;
- final Complex x = new Complex(re, im);
- final Complex y = new Complex(re * f, im * f);
- Assert.assertTrue(Complex.equalsWithRelativeTolerance(x, y, tol));
- }
-
- @Test
- public void testFloatingPointEqualsWithRelativeToleranceNaN() {
- final Complex x = new Complex(0, Double.NaN);
- final Complex y = new Complex(Double.NaN, 0);
- Assert.assertFalse(Complex.equalsWithRelativeTolerance(x, Complex.ZERO, 0.1));
- Assert.assertFalse(Complex.equalsWithRelativeTolerance(x, x, 0.1));
- Assert.assertFalse(Complex.equalsWithRelativeTolerance(x, y, 0.1));
- }
-
- @Test
- public void testEqualsTrue() {
- Complex x = new Complex(3.0, 4.0);
- Complex y = new Complex(3.0, 4.0);
- Assert.assertTrue(x.equals(y));
- }
-
- @Test
- public void testEqualsRealDifference() {
- Complex x = new Complex(0.0, 0.0);
- Complex y = new Complex(0.0 + Double.MIN_VALUE, 0.0);
- Assert.assertFalse(x.equals(y));
- }
-
- @Test
- public void testEqualsImaginaryDifference() {
- Complex x = new Complex(0.0, 0.0);
- Complex y = new Complex(0.0, 0.0 + Double.MIN_VALUE);
- Assert.assertFalse(x.equals(y));
- }
-
- @Test
- public void testEqualsNaN() {
- Complex realNaN = new Complex(Double.NaN, 0.0);
- Complex imaginaryNaN = new Complex(0.0, Double.NaN);
- Complex complexNaN = Complex.NaN;
- Assert.assertTrue(realNaN.equals(imaginaryNaN));
- Assert.assertTrue(imaginaryNaN.equals(complexNaN));
- Assert.assertTrue(realNaN.equals(complexNaN));
- }
-
- @Test
- public void testHashCode() {
- Complex x = new Complex(0.0, 0.0);
- Complex y = new Complex(0.0, 0.0 + Double.MIN_VALUE);
- Assert.assertFalse(x.hashCode()==y.hashCode());
- y = new Complex(0.0 + Double.MIN_VALUE, 0.0);
- Assert.assertFalse(x.hashCode()==y.hashCode());
- Complex realNaN = new Complex(Double.NaN, 0.0);
- Complex imaginaryNaN = new Complex(0.0, Double.NaN);
- Assert.assertEquals(realNaN.hashCode(), imaginaryNaN.hashCode());
- Assert.assertEquals(imaginaryNaN.hashCode(), Complex.NaN.hashCode());
-
- // MATH-1118
- // "equals" and "hashCode" must be compatible: if two objects have
- // different hash codes, "equals" must return false.
- final String msg = "'equals' not compatible with 'hashCode'";
-
- x = new Complex(0.0, 0.0);
- y = new Complex(0.0, -0.0);
- Assert.assertTrue(x.hashCode() != y.hashCode());
- Assert.assertFalse(msg, x.equals(y));
-
- x = new Complex(0.0, 0.0);
- y = new Complex(-0.0, 0.0);
- Assert.assertTrue(x.hashCode() != y.hashCode());
- Assert.assertFalse(msg, x.equals(y));
- }
-
- @Test
- public void testAcos() {
- Complex z = new Complex(3, 4);
- Complex expected = new Complex(0.936812, -2.30551);
- TestUtils.assertEquals(expected, z.acos(), 1.0e-5);
- TestUtils.assertEquals(new Complex(FastMath.acos(0), 0),
- Complex.ZERO.acos(), 1.0e-12);
- }
-
- @Test
- public void testAcosInf() {
- TestUtils.assertSame(Complex.NaN, oneInf.acos());
- TestUtils.assertSame(Complex.NaN, oneNegInf.acos());
- TestUtils.assertSame(Complex.NaN, infOne.acos());
- TestUtils.assertSame(Complex.NaN, negInfOne.acos());
- TestUtils.assertSame(Complex.NaN, infInf.acos());
- TestUtils.assertSame(Complex.NaN, infNegInf.acos());
- TestUtils.assertSame(Complex.NaN, negInfInf.acos());
- TestUtils.assertSame(Complex.NaN, negInfNegInf.acos());
- }
-
- @Test
- public void testAcosNaN() {
- Assert.assertTrue(Complex.NaN.acos().isNaN());
- }
-
- @Test
- public void testAsin() {
- Complex z = new Complex(3, 4);
- Complex expected = new Complex(0.633984, 2.30551);
- TestUtils.assertEquals(expected, z.asin(), 1.0e-5);
- }
-
- @Test
- public void testAsinNaN() {
- Assert.assertTrue(Complex.NaN.asin().isNaN());
- }
-
- @Test
- public void testAsinInf() {
- TestUtils.assertSame(Complex.NaN, oneInf.asin());
- TestUtils.assertSame(Complex.NaN, oneNegInf.asin());
- TestUtils.assertSame(Complex.NaN, infOne.asin());
- TestUtils.assertSame(Complex.NaN, negInfOne.asin());
- TestUtils.assertSame(Complex.NaN, infInf.asin());
- TestUtils.assertSame(Complex.NaN, infNegInf.asin());
- TestUtils.assertSame(Complex.NaN, negInfInf.asin());
- TestUtils.assertSame(Complex.NaN, negInfNegInf.asin());
- }
-
-
- @Test
- public void testAtan() {
- Complex z = new Complex(3, 4);
- Complex expected = new Complex(1.44831, 0.158997);
- TestUtils.assertEquals(expected, z.atan(), 1.0e-5);
- }
-
- @Test
- public void testAtanInf() {
- TestUtils.assertSame(Complex.NaN, oneInf.atan());
- TestUtils.assertSame(Complex.NaN, oneNegInf.atan());
- TestUtils.assertSame(Complex.NaN, infOne.atan());
- TestUtils.assertSame(Complex.NaN, negInfOne.atan());
- TestUtils.assertSame(Complex.NaN, infInf.atan());
- TestUtils.assertSame(Complex.NaN, infNegInf.atan());
- TestUtils.assertSame(Complex.NaN, negInfInf.atan());
- TestUtils.assertSame(Complex.NaN, negInfNegInf.atan());
- }
-
- @Test
- public void testAtanI() {
- Assert.assertTrue(Complex.I.atan().isNaN());
- }
-
- @Test
- public void testAtanNaN() {
- Assert.assertTrue(Complex.NaN.atan().isNaN());
- }
-
- @Test
- public void testCos() {
- Complex z = new Complex(3, 4);
- Complex expected = new Complex(-27.03495, -3.851153);
- TestUtils.assertEquals(expected, z.cos(), 1.0e-5);
- }
-
- @Test
- public void testCosNaN() {
- Assert.assertTrue(Complex.NaN.cos().isNaN());
- }
-
- @Test
- public void testCosInf() {
- TestUtils.assertSame(infNegInf, oneInf.cos());
- TestUtils.assertSame(infInf, oneNegInf.cos());
- TestUtils.assertSame(Complex.NaN, infOne.cos());
- TestUtils.assertSame(Complex.NaN, negInfOne.cos());
- TestUtils.assertSame(Complex.NaN, infInf.cos());
- TestUtils.assertSame(Complex.NaN, infNegInf.cos());
- TestUtils.assertSame(Complex.NaN, negInfInf.cos());
- TestUtils.assertSame(Complex.NaN, negInfNegInf.cos());
- }
-
- @Test
- public void testCosh() {
- Complex z = new Complex(3, 4);
- Complex expected = new Complex(-6.58066, -7.58155);
- TestUtils.assertEquals(expected, z.cosh(), 1.0e-5);
- }
-
- @Test
- public void testCoshNaN() {
- Assert.assertTrue(Complex.NaN.cosh().isNaN());
- }
-
- @Test
- public void testCoshInf() {
- TestUtils.assertSame(Complex.NaN, oneInf.cosh());
- TestUtils.assertSame(Complex.NaN, oneNegInf.cosh());
- TestUtils.assertSame(infInf, infOne.cosh());
- TestUtils.assertSame(infNegInf, negInfOne.cosh());
- TestUtils.assertSame(Complex.NaN, infInf.cosh());
- TestUtils.assertSame(Complex.NaN, infNegInf.cosh());
- TestUtils.assertSame(Complex.NaN, negInfInf.cosh());
- TestUtils.assertSame(Complex.NaN, negInfNegInf.cosh());
- }
-
- @Test
- public void testExp() {
- Complex z = new Complex(3, 4);
- Complex expected = new Complex(-13.12878, -15.20078);
- TestUtils.assertEquals(expected, z.exp(), 1.0e-5);
- TestUtils.assertEquals(Complex.ONE,
- Complex.ZERO.exp(), 10e-12);
- Complex iPi = Complex.I.multiply(new Complex(pi,0));
- TestUtils.assertEquals(Complex.ONE.negate(),
- iPi.exp(), 10e-12);
- }
-
- @Test
- public void testExpNaN() {
- Assert.assertTrue(Complex.NaN.exp().isNaN());
- }
-
- @Test
- public void testExpInf1() {
- TestUtils.assertSame(Complex.NaN, oneInf.exp());
- }
-
- @Test
- public void testExpInf2() {
- TestUtils.assertSame(Complex.NaN, oneNegInf.exp());
- }
-
- @Test
- public void testExpInf3() {
- TestUtils.assertSame(infInf, infOne.exp());
- }
-
- @Test
- @Ignore
- public void testJava() {// TODO more debug
- System.out.println(">>testJava()");
- // FastMathTest#testExpSpecialCases() checks the following:
- // Assert.assertEquals("exp of -infinity should be 0.0", 0.0, FastMath.exp(Double.NEGATIVE_INFINITY), Precision.EPSILON);
- // Let's check how well Math works:
- System.out.println("Math.exp="+Math.exp(Double.NEGATIVE_INFINITY));
- String props[] = {
- "java.version", // Java Runtime Environment version
- "java.vendor", // Java Runtime Environment vendor
- "java.vm.specification.version", // Java Virtual Machine specification version
- "java.vm.specification.vendor", // Java Virtual Machine specification vendor
- "java.vm.specification.name", // Java Virtual Machine specification name
- "java.vm.version", // Java Virtual Machine implementation version
- "java.vm.vendor", // Java Virtual Machine implementation vendor
- "java.vm.name", // Java Virtual Machine implementation name
- "java.specification.version", // Java Runtime Environment specification version
- "java.specification.vendor", // Java Runtime Environment specification vendor
- "java.specification.name", // Java Runtime Environment specification name
- "java.class.version", // Java class format version number
- };
- for(String t : props) {
- System.out.println(t + "=" + System.getProperty(t));
- }
- System.out.println("<<testJava()");
- }
-
- @Test
- public void testExpInf4() {
- final Complex exp = negInfOne.exp();
- TestUtils.assertSame(Complex.ZERO, exp);
- }
-
- @Test
- public void testExpInf5() {
- TestUtils.assertSame(Complex.NaN, infInf.exp());
- }
-
- @Test
- public void testExpInf6() {
- TestUtils.assertSame(Complex.NaN, infNegInf.exp());
- }
-
- @Test
- public void testExpInf7() {
- TestUtils.assertSame(Complex.NaN, negInfInf.exp());
- }
-
- @Test
- public void testExpInf8() {
- TestUtils.assertSame(Complex.NaN, negInfNegInf.exp());
- }
-
- @Test
- public void testLog() {
- Complex z = new Complex(3, 4);
- Complex expected = new Complex(1.60944, 0.927295);
- TestUtils.assertEquals(expected, z.log(), 1.0e-5);
- }
-
- @Test
- public void testLogNaN() {
- Assert.assertTrue(Complex.NaN.log().isNaN());
- }
-
- @Test
- public void testLogInf() {
- TestUtils.assertEquals(new Complex(inf, pi / 2),
- oneInf.log(), 10e-12);
- TestUtils.assertEquals(new Complex(inf, -pi / 2),
- oneNegInf.log(), 10e-12);
- TestUtils.assertEquals(infZero, infOne.log(), 10e-12);
- TestUtils.assertEquals(new Complex(inf, pi),
- negInfOne.log(), 10e-12);
- TestUtils.assertEquals(new Complex(inf, pi / 4),
- infInf.log(), 10e-12);
- TestUtils.assertEquals(new Complex(inf, -pi / 4),
- infNegInf.log(), 10e-12);
- TestUtils.assertEquals(new Complex(inf, 3d * pi / 4),
- negInfInf.log(), 10e-12);
- TestUtils.assertEquals(new Complex(inf, - 3d * pi / 4),
- negInfNegInf.log(), 10e-12);
- }
-
- @Test
- public void testLogZero() {
- TestUtils.assertSame(negInfZero, Complex.ZERO.log());
- }
-
- @Test
- public void testPow() {
- Complex x = new Complex(3, 4);
- Complex y = new Complex(5, 6);
- Complex expected = new Complex(-1.860893, 11.83677);
- TestUtils.assertEquals(expected, x.pow(y), 1.0e-5);
- }
-
- @Test
- public void testPowNaNBase() {
- Complex x = new Complex(3, 4);
- Assert.assertTrue(Complex.NaN.pow(x).isNaN());
- }
-
- @Test
- public void testPowNaNExponent() {
- Complex x = new Complex(3, 4);
- Assert.assertTrue(x.pow(Complex.NaN).isNaN());
- }
-
- @Test
- public void testPowInf() {
- TestUtils.assertSame(Complex.NaN,Complex.ONE.pow(oneInf));
- TestUtils.assertSame(Complex.NaN,Complex.ONE.pow(oneNegInf));
- TestUtils.assertSame(Complex.NaN,Complex.ONE.pow(infOne));
- TestUtils.assertSame(Complex.NaN,Complex.ONE.pow(infInf));
- TestUtils.assertSame(Complex.NaN,Complex.ONE.pow(infNegInf));
- TestUtils.assertSame(Complex.NaN,Complex.ONE.pow(negInfInf));
- TestUtils.assertSame(Complex.NaN,Complex.ONE.pow(negInfNegInf));
- TestUtils.assertSame(Complex.NaN,infOne.pow(Complex.ONE));
- TestUtils.assertSame(Complex.NaN,negInfOne.pow(Complex.ONE));
- TestUtils.assertSame(Complex.NaN,infInf.pow(Complex.ONE));
- TestUtils.assertSame(Complex.NaN,infNegInf.pow(Complex.ONE));
- TestUtils.assertSame(Complex.NaN,negInfInf.pow(Complex.ONE));
- TestUtils.assertSame(Complex.NaN,negInfNegInf.pow(Complex.ONE));
- TestUtils.assertSame(Complex.NaN,negInfNegInf.pow(infNegInf));
- TestUtils.assertSame(Complex.NaN,negInfNegInf.pow(negInfNegInf));
- TestUtils.assertSame(Complex.NaN,negInfNegInf.pow(infInf));
- TestUtils.assertSame(Complex.NaN,infInf.pow(infNegInf));
- TestUtils.assertSame(Complex.NaN,infInf.pow(negInfNegInf));
- TestUtils.assertSame(Complex.NaN,infInf.pow(infInf));
- TestUtils.assertSame(Complex.NaN,infNegInf.pow(infNegInf));
- TestUtils.assertSame(Complex.NaN,infNegInf.pow(negInfNegInf));
- TestUtils.assertSame(Complex.NaN,infNegInf.pow(infInf));
- }
-
- @Test
- public void testPowZero() {
- TestUtils.assertSame(Complex.NaN,
- Complex.ZERO.pow(Complex.ONE));
- TestUtils.assertSame(Complex.NaN,
- Complex.ZERO.pow(Complex.ZERO));
- TestUtils.assertSame(Complex.NaN,
- Complex.ZERO.pow(Complex.I));
- TestUtils.assertEquals(Complex.ONE,
- Complex.ONE.pow(Complex.ZERO), 10e-12);
- TestUtils.assertEquals(Complex.ONE,
- Complex.I.pow(Complex.ZERO), 10e-12);
- TestUtils.assertEquals(Complex.ONE,
- new Complex(-1, 3).pow(Complex.ZERO), 10e-12);
- }
-
- @Test
- public void testScalarPow() {
- Complex x = new Complex(3, 4);
- double yDouble = 5.0;
- Complex yComplex = new Complex(yDouble);
- Assert.assertEquals(x.pow(yComplex), x.pow(yDouble));
- }
-
- @Test
- public void testScalarPowNaNBase() {
- Complex x = Complex.NaN;
- double yDouble = 5.0;
- Complex yComplex = new Complex(yDouble);
- Assert.assertEquals(x.pow(yComplex), x.pow(yDouble));
- }
-
- @Test
- public void testScalarPowNaNExponent() {
- Complex x = new Complex(3, 4);
- double yDouble = Double.NaN;
- Complex yComplex = new Complex(yDouble);
- Assert.assertEquals(x.pow(yComplex), x.pow(yDouble));
- }
-
- @Test
- public void testScalarPowInf() {
- TestUtils.assertSame(Complex.NaN,Complex.ONE.pow(Double.POSITIVE_INFINITY));
- TestUtils.assertSame(Complex.NaN,Complex.ONE.pow(Double.NEGATIVE_INFINITY));
- TestUtils.assertSame(Complex.NaN,infOne.pow(1.0));
- TestUtils.assertSame(Complex.NaN,negInfOne.pow(1.0));
- TestUtils.assertSame(Complex.NaN,infInf.pow(1.0));
- TestUtils.assertSame(Complex.NaN,infNegInf.pow(1.0));
- TestUtils.assertSame(Complex.NaN,negInfInf.pow(10));
- TestUtils.assertSame(Complex.NaN,negInfNegInf.pow(1.0));
- TestUtils.assertSame(Complex.NaN,negInfNegInf.pow(Double.POSITIVE_INFINITY));
- TestUtils.assertSame(Complex.NaN,negInfNegInf.pow(Double.POSITIVE_INFINITY));
- TestUtils.assertSame(Complex.NaN,infInf.pow(Double.POSITIVE_INFINITY));
- TestUtils.assertSame(Complex.NaN,infInf.pow(Double.NEGATIVE_INFINITY));
- TestUtils.assertSame(Complex.NaN,infNegInf.pow(Double.NEGATIVE_INFINITY));
- TestUtils.assertSame(Complex.NaN,infNegInf.pow(Double.POSITIVE_INFINITY));
- }
-
- @Test
- public void testScalarPowZero() {
- TestUtils.assertSame(Complex.NaN, Complex.ZERO.pow(1.0));
- TestUtils.assertSame(Complex.NaN, Complex.ZERO.pow(0.0));
- TestUtils.assertEquals(Complex.ONE, Complex.ONE.pow(0.0), 10e-12);
- TestUtils.assertEquals(Complex.ONE, Complex.I.pow(0.0), 10e-12);
- TestUtils.assertEquals(Complex.ONE, new Complex(-1, 3).pow(0.0), 10e-12);
- }
-
- @Test(expected=NullArgumentException.class)
- public void testpowNull() {
- Complex.ONE.pow(null);
- }
-
- @Test
- public void testSin() {
- Complex z = new Complex(3, 4);
- Complex expected = new Complex(3.853738, -27.01681);
- TestUtils.assertEquals(expected, z.sin(), 1.0e-5);
- }
-
- @Test
- public void testSinInf() {
- TestUtils.assertSame(infInf, oneInf.sin());
- TestUtils.assertSame(infNegInf, oneNegInf.sin());
- TestUtils.assertSame(Complex.NaN, infOne.sin());
- TestUtils.assertSame(Complex.NaN, negInfOne.sin());
- TestUtils.assertSame(Complex.NaN, infInf.sin());
- TestUtils.assertSame(Complex.NaN, infNegInf.sin());
- TestUtils.assertSame(Complex.NaN, negInfInf.sin());
- TestUtils.assertSame(Complex.NaN, negInfNegInf.sin());
- }
-
- @Test
- public void testSinNaN() {
- Assert.assertTrue(Complex.NaN.sin().isNaN());
- }
-
- @Test
- public void testSinh() {
- Complex z = new Complex(3, 4);
- Complex expected = new Complex(-6.54812, -7.61923);
- TestUtils.assertEquals(expected, z.sinh(), 1.0e-5);
- }
-
- @Test
- public void testSinhNaN() {
- Assert.assertTrue(Complex.NaN.sinh().isNaN());
- }
-
- @Test
- public void testSinhInf() {
- TestUtils.assertSame(Complex.NaN, oneInf.sinh());
- TestUtils.assertSame(Complex.NaN, oneNegInf.sinh());
- TestUtils.assertSame(infInf, infOne.sinh());
- TestUtils.assertSame(negInfInf, negInfOne.sinh());
- TestUtils.assertSame(Complex.NaN, infInf.sinh());
- TestUtils.assertSame(Complex.NaN, infNegInf.sinh());
- TestUtils.assertSame(Complex.NaN, negInfInf.sinh());
- TestUtils.assertSame(Complex.NaN, negInfNegInf.sinh());
- }
-
- @Test
- public void testSqrtRealPositive() {
- Complex z = new Complex(3, 4);
- Complex expected = new Complex(2, 1);
- TestUtils.assertEquals(expected, z.sqrt(), 1.0e-5);
- }
-
- @Test
- public void testSqrtRealZero() {
- Complex z = new Complex(0.0, 4);
- Complex expected = new Complex(1.41421, 1.41421);
- TestUtils.assertEquals(expected, z.sqrt(), 1.0e-5);
- }
-
- @Test
- public void testSqrtRealNegative() {
- Complex z = new Complex(-3.0, 4);
- Complex expected = new Complex(1, 2);
- TestUtils.assertEquals(expected, z.sqrt(), 1.0e-5);
- }
-
- @Test
- public void testSqrtImaginaryZero() {
- Complex z = new Complex(-3.0, 0.0);
- Complex expected = new Complex(0.0, 1.73205);
- TestUtils.assertEquals(expected, z.sqrt(), 1.0e-5);
- }
-
- @Test
- public void testSqrtImaginaryNegative() {
- Complex z = new Complex(-3.0, -4.0);
- Complex expected = new Complex(1.0, -2.0);
- TestUtils.assertEquals(expected, z.sqrt(), 1.0e-5);
- }
-
- @Test
- public void testSqrtPolar() {
- double r = 1;
- for (int i = 0; i < 5; i++) {
- r += i;
- double theta = 0;
- for (int j =0; j < 11; j++) {
- theta += pi /12;
- Complex z = ComplexUtils.polar2Complex(r, theta);
- Complex sqrtz = ComplexUtils.polar2Complex(FastMath.sqrt(r), theta / 2);
- TestUtils.assertEquals(sqrtz, z.sqrt(), 10e-12);
- }
- }
- }
-
- @Test
- public void testSqrtNaN() {
- Assert.assertTrue(Complex.NaN.sqrt().isNaN());
- }
-
- @Test
- public void testSqrtInf() {
- TestUtils.assertSame(infNaN, oneInf.sqrt());
- TestUtils.assertSame(infNaN, oneNegInf.sqrt());
- TestUtils.assertSame(infZero, infOne.sqrt());
- TestUtils.assertSame(zeroInf, negInfOne.sqrt());
- TestUtils.assertSame(infNaN, infInf.sqrt());
- TestUtils.assertSame(infNaN, infNegInf.sqrt());
- TestUtils.assertSame(nanInf, negInfInf.sqrt());
- TestUtils.assertSame(nanNegInf, negInfNegInf.sqrt());
- }
-
- @Test
- public void testSqrt1z() {
- Complex z = new Complex(3, 4);
- Complex expected = new Complex(4.08033, -2.94094);
- TestUtils.assertEquals(expected, z.sqrt1z(), 1.0e-5);
- }
-
- @Test
- public void testSqrt1zNaN() {
- Assert.assertTrue(Complex.NaN.sqrt1z().isNaN());
- }
-
- @Test
- public void testTan() {
- Complex z = new Complex(3, 4);
- Complex expected = new Complex(-0.000187346, 0.999356);
- TestUtils.assertEquals(expected, z.tan(), 1.0e-5);
- /* Check that no overflow occurs (MATH-722) */
- Complex actual = new Complex(3.0, 1E10).tan();
- expected = new Complex(0, 1);
- TestUtils.assertEquals(expected, actual, 1.0e-5);
- actual = new Complex(3.0, -1E10).tan();
- expected = new Complex(0, -1);
- TestUtils.assertEquals(expected, actual, 1.0e-5);
- }
-
- @Test
- public void testTanNaN() {
- Assert.assertTrue(Complex.NaN.tan().isNaN());
- }
-
- @Test
- public void testTanInf() {
- TestUtils.assertSame(Complex.valueOf(0.0, 1.0), oneInf.tan());
- TestUtils.assertSame(Complex.valueOf(0.0, -1.0), oneNegInf.tan());
- TestUtils.assertSame(Complex.NaN, infOne.tan());
- TestUtils.assertSame(Complex.NaN, negInfOne.tan());
- TestUtils.assertSame(Complex.NaN, infInf.tan());
- TestUtils.assertSame(Complex.NaN, infNegInf.tan());
- TestUtils.assertSame(Complex.NaN, negInfInf.tan());
- TestUtils.assertSame(Complex.NaN, negInfNegInf.tan());
- }
-
- @Test
- public void testTanCritical() {
- TestUtils.assertSame(infNaN, new Complex(pi/2, 0).tan());
- TestUtils.assertSame(negInfNaN, new Complex(-pi/2, 0).tan());
- }
-
- @Test
- public void testTanh() {
- Complex z = new Complex(3, 4);
- Complex expected = new Complex(1.00071, 0.00490826);
- TestUtils.assertEquals(expected, z.tanh(), 1.0e-5);
- /* Check that no overflow occurs (MATH-722) */
- Complex actual = new Complex(1E10, 3.0).tanh();
- expected = new Complex(1, 0);
- TestUtils.assertEquals(expected, actual, 1.0e-5);
- actual = new Complex(-1E10, 3.0).tanh();
- expected = new Complex(-1, 0);
- TestUtils.assertEquals(expected, actual, 1.0e-5);
- }
-
- @Test
- public void testTanhNaN() {
- Assert.assertTrue(Complex.NaN.tanh().isNaN());
- }
-
- @Test
- public void testTanhInf() {
- TestUtils.assertSame(Complex.NaN, oneInf.tanh());
- TestUtils.assertSame(Complex.NaN, oneNegInf.tanh());
- TestUtils.assertSame(Complex.valueOf(1.0, 0.0), infOne.tanh());
- TestUtils.assertSame(Complex.valueOf(-1.0, 0.0), negInfOne.tanh());
- TestUtils.assertSame(Complex.NaN, infInf.tanh());
- TestUtils.assertSame(Complex.NaN, infNegInf.tanh());
- TestUtils.assertSame(Complex.NaN, negInfInf.tanh());
- TestUtils.assertSame(Complex.NaN, negInfNegInf.tanh());
- }
-
- @Test
- public void testTanhCritical() {
- TestUtils.assertSame(nanInf, new Complex(0, pi/2).tanh());
- }
-
- /** test issue MATH-221 */
- @Test
- public void testMath221() {
- Assert.assertTrue(Complex.equals(new Complex(0,-1),
- new Complex(0,1).multiply(new Complex(-1,0))));
- }
-
- /**
- * Test: computing <b>third roots</b> of z.
- * <pre>
- * <code>
- * <b>z = -2 + 2 * i</b>
- * => z_0 = 1 + i
- * => z_1 = -1.3660 + 0.3660 * i
- * => z_2 = 0.3660 - 1.3660 * i
- * </code>
- * </pre>
- */
- @Test
- public void testNthRoot_normal_thirdRoot() {
- // The complex number we want to compute all third-roots for.
- Complex z = new Complex(-2,2);
- // The List holding all third roots
- Complex[] thirdRootsOfZ = z.nthRoot(3).toArray(new Complex[0]);
- // Returned Collection must not be empty!
- Assert.assertEquals(3, thirdRootsOfZ.length);
- // test z_0
- Assert.assertEquals(1.0, thirdRootsOfZ[0].getReal(), 1.0e-5);
- Assert.assertEquals(1.0, thirdRootsOfZ[0].getImaginary(), 1.0e-5);
- // test z_1
- Assert.assertEquals(-1.3660254037844386, thirdRootsOfZ[1].getReal(), 1.0e-5);
- Assert.assertEquals(0.36602540378443843, thirdRootsOfZ[1].getImaginary(), 1.0e-5);
- // test z_2
- Assert.assertEquals(0.366025403784439, thirdRootsOfZ[2].getReal(), 1.0e-5);
- Assert.assertEquals(-1.3660254037844384, thirdRootsOfZ[2].getImaginary(), 1.0e-5);
- }
-
-
- /**
- * Test: computing <b>fourth roots</b> of z.
- * <pre>
- * <code>
- * <b>z = 5 - 2 * i</b>
- * => z_0 = 1.5164 - 0.1446 * i
- * => z_1 = 0.1446 + 1.5164 * i
- * => z_2 = -1.5164 + 0.1446 * i
- * => z_3 = -1.5164 - 0.1446 * i
- * </code>
- * </pre>
- */
- @Test
- public void testNthRoot_normal_fourthRoot() {
- // The complex number we want to compute all third-roots for.
- Complex z = new Complex(5,-2);
- // The List holding all fourth roots
- Complex[] fourthRootsOfZ = z.nthRoot(4).toArray(new Complex[0]);
- // Returned Collection must not be empty!
- Assert.assertEquals(4, fourthRootsOfZ.length);
- // test z_0
- Assert.assertEquals(1.5164629308487783, fourthRootsOfZ[0].getReal(), 1.0e-5);
- Assert.assertEquals(-0.14469266210702247, fourthRootsOfZ[0].getImaginary(), 1.0e-5);
- // test z_1
- Assert.assertEquals(0.14469266210702256, fourthRootsOfZ[1].getReal(), 1.0e-5);
- Assert.assertEquals(1.5164629308487783, fourthRootsOfZ[1].getImaginary(), 1.0e-5);
- // test z_2
- Assert.assertEquals(-1.5164629308487783, fourthRootsOfZ[2].getReal(), 1.0e-5);
- Assert.assertEquals(0.14469266210702267, fourthRootsOfZ[2].getImaginary(), 1.0e-5);
- // test z_3
- Assert.assertEquals(-0.14469266210702275, fourthRootsOfZ[3].getReal(), 1.0e-5);
- Assert.assertEquals(-1.5164629308487783, fourthRootsOfZ[3].getImaginary(), 1.0e-5);
- }
-
- /**
- * Test: computing <b>third roots</b> of z.
- * <pre>
- * <code>
- * <b>z = 8</b>
- * => z_0 = 2
- * => z_1 = -1 + 1.73205 * i
- * => z_2 = -1 - 1.73205 * i
- * </code>
- * </pre>
- */
- @Test
- public void testNthRoot_cornercase_thirdRoot_imaginaryPartEmpty() {
- // The number 8 has three third roots. One we all already know is the number 2.
- // But there are two more complex roots.
- Complex z = new Complex(8,0);
- // The List holding all third roots
- Complex[] thirdRootsOfZ = z.nthRoot(3).toArray(new Complex[0]);
- // Returned Collection must not be empty!
- Assert.assertEquals(3, thirdRootsOfZ.length);
- // test z_0
- Assert.assertEquals(2.0, thirdRootsOfZ[0].getReal(), 1.0e-5);
- Assert.assertEquals(0.0, thirdRootsOfZ[0].getImaginary(), 1.0e-5);
- // test z_1
- Assert.assertEquals(-1.0, thirdRootsOfZ[1].getReal(), 1.0e-5);
- Assert.assertEquals(1.7320508075688774, thirdRootsOfZ[1].getImaginary(), 1.0e-5);
- // test z_2
- Assert.assertEquals(-1.0, thirdRootsOfZ[2].getReal(), 1.0e-5);
- Assert.assertEquals(-1.732050807568877, thirdRootsOfZ[2].getImaginary(), 1.0e-5);
- }
-
-
- /**
- * Test: computing <b>third roots</b> of z with real part 0.
- * <pre>
- * <code>
- * <b>z = 2 * i</b>
- * => z_0 = 1.0911 + 0.6299 * i
- * => z_1 = -1.0911 + 0.6299 * i
- * => z_2 = -2.3144 - 1.2599 * i
- * </code>
- * </pre>
- */
- @Test
- public void testNthRoot_cornercase_thirdRoot_realPartZero() {
- // complex number with only imaginary part
- Complex z = new Complex(0,2);
- // The List holding all third roots
- Complex[] thirdRootsOfZ = z.nthRoot(3).toArray(new Complex[0]);
- // Returned Collection must not be empty!
- Assert.assertEquals(3, thirdRootsOfZ.length);
- // test z_0
- Assert.assertEquals(1.0911236359717216, thirdRootsOfZ[0].getReal(), 1.0e-5);
- Assert.assertEquals(0.6299605249474365, thirdRootsOfZ[0].getImaginary(), 1.0e-5);
- // test z_1
- Assert.assertEquals(-1.0911236359717216, thirdRootsOfZ[1].getReal(), 1.0e-5);
- Assert.assertEquals(0.6299605249474365, thirdRootsOfZ[1].getImaginary(), 1.0e-5);
- // test z_2
- Assert.assertEquals(-2.3144374213981936E-16, thirdRootsOfZ[2].getReal(), 1.0e-5);
- Assert.assertEquals(-1.2599210498948732, thirdRootsOfZ[2].getImaginary(), 1.0e-5);
- }
-
- /**
- * Test cornercases with NaN and Infinity.
- */
- @Test
- public void testNthRoot_cornercase_NAN_Inf() {
- // NaN + finite -> NaN
- List<Complex> roots = oneNaN.nthRoot(3);
- Assert.assertEquals(1,roots.size());
- Assert.assertEquals(Complex.NaN, roots.get(0));
-
- roots = nanZero.nthRoot(3);
- Assert.assertEquals(1,roots.size());
- Assert.assertEquals(Complex.NaN, roots.get(0));
-
- // NaN + infinite -> NaN
- roots = nanInf.nthRoot(3);
- Assert.assertEquals(1,roots.size());
- Assert.assertEquals(Complex.NaN, roots.get(0));
-
- // finite + infinite -> Inf
- roots = oneInf.nthRoot(3);
- Assert.assertEquals(1,roots.size());
- Assert.assertEquals(Complex.INF, roots.get(0));
-
- // infinite + infinite -> Inf
- roots = negInfInf.nthRoot(3);
- Assert.assertEquals(1,roots.size());
- Assert.assertEquals(Complex.INF, roots.get(0));
- }
-
- /**
- * Test standard values
- */
- @Test
- public void testGetArgument() {
- Complex z = new Complex(1, 0);
- Assert.assertEquals(0.0, z.getArgument(), 1.0e-12);
-
- z = new Complex(1, 1);
- Assert.assertEquals(FastMath.PI/4, z.getArgument(), 1.0e-12);
-
- z = new Complex(0, 1);
- Assert.assertEquals(FastMath.PI/2, z.getArgument(), 1.0e-12);
-
- z = new Complex(-1, 1);
- Assert.assertEquals(3 * FastMath.PI/4, z.getArgument(), 1.0e-12);
-
- z = new Complex(-1, 0);
- Assert.assertEquals(FastMath.PI, z.getArgument(), 1.0e-12);
-
- z = new Complex(-1, -1);
- Assert.assertEquals(-3 * FastMath.PI/4, z.getArgument(), 1.0e-12);
-
- z = new Complex(0, -1);
- Assert.assertEquals(-FastMath.PI/2, z.getArgument(), 1.0e-12);
-
- z = new Complex(1, -1);
- Assert.assertEquals(-FastMath.PI/4, z.getArgument(), 1.0e-12);
-
- }
-
- /**
- * Verify atan2-style handling of infinite parts
- */
- @Test
- public void testGetArgumentInf() {
- Assert.assertEquals(FastMath.PI/4, infInf.getArgument(), 1.0e-12);
- Assert.assertEquals(FastMath.PI/2, oneInf.getArgument(), 1.0e-12);
- Assert.assertEquals(0.0, infOne.getArgument(), 1.0e-12);
- Assert.assertEquals(FastMath.PI/2, zeroInf.getArgument(), 1.0e-12);
- Assert.assertEquals(0.0, infZero.getArgument(), 1.0e-12);
- Assert.assertEquals(FastMath.PI, negInfOne.getArgument(), 1.0e-12);
- Assert.assertEquals(-3.0*FastMath.PI/4, negInfNegInf.getArgument(), 1.0e-12);
- Assert.assertEquals(-FastMath.PI/2, oneNegInf.getArgument(), 1.0e-12);
- }
-
- /**
- * Verify that either part NaN results in NaN
- */
- @Test
- public void testGetArgumentNaN() {
- Assert.assertTrue(Double.isNaN(nanZero.getArgument()));
- Assert.assertTrue(Double.isNaN(zeroNaN.getArgument()));
- Assert.assertTrue(Double.isNaN(Complex.NaN.getArgument()));
- }
-
- @Test
- public void testSerial() {
- Complex z = new Complex(3.0, 4.0);
- Assert.assertEquals(z, TestUtils.serializeAndRecover(z));
- Complex ncmplx = (Complex)TestUtils.serializeAndRecover(oneNaN);
- Assert.assertEquals(nanZero, ncmplx);
- Assert.assertTrue(ncmplx.isNaN());
- Complex infcmplx = (Complex)TestUtils.serializeAndRecover(infInf);
- Assert.assertEquals(infInf, infcmplx);
- Assert.assertTrue(infcmplx.isInfinite());
- TestComplex tz = new TestComplex(3.0, 4.0);
- Assert.assertEquals(tz, TestUtils.serializeAndRecover(tz));
- TestComplex ntcmplx = (TestComplex)TestUtils.serializeAndRecover(new TestComplex(oneNaN));
- Assert.assertEquals(nanZero, ntcmplx);
- Assert.assertTrue(ntcmplx.isNaN());
- TestComplex inftcmplx = (TestComplex)TestUtils.serializeAndRecover(new TestComplex(infInf));
- Assert.assertEquals(infInf, inftcmplx);
- Assert.assertTrue(inftcmplx.isInfinite());
- }
-
- /**
- * Class to test extending Complex
- */
- public static class TestComplex extends Complex {
-
- /**
- * Serialization identifier.
- */
- private static final long serialVersionUID = 3268726724160389237L;
-
- public TestComplex(double real, double imaginary) {
- super(real, imaginary);
- }
-
- public TestComplex(Complex other){
- this(other.getReal(), other.getImaginary());
- }
-
- @Override
- protected TestComplex createComplex(double real, double imaginary){
- return new TestComplex(real, imaginary);
- }
-
- }
-}
http://git-wip-us.apache.org/repos/asf/commons-math/blob/35378d9c/src/test/java/org/apache/commons/math4/complex/ComplexUtilsTest.java
----------------------------------------------------------------------
diff --git a/src/test/java/org/apache/commons/math4/complex/ComplexUtilsTest.java b/src/test/java/org/apache/commons/math4/complex/ComplexUtilsTest.java
index fbff674..5d49afe 100644
--- a/src/test/java/org/apache/commons/math4/complex/ComplexUtilsTest.java
+++ b/src/test/java/org/apache/commons/math4/complex/ComplexUtilsTest.java
@@ -17,9 +17,8 @@
package org.apache.commons.math4.complex;
+import org.apache.commons.numbers.complex.Complex;
import org.apache.commons.math4.TestUtils;
-import org.apache.commons.math4.complex.Complex;
-import org.apache.commons.math4.complex.ComplexUtils;
import org.apache.commons.math4.exception.MathIllegalArgumentException;
import org.apache.commons.math4.util.FastMath;
import org.apache.commons.math4.util.IntegerSequence;
@@ -218,17 +217,17 @@ public class ComplexUtilsTest {
@Test
public void testPolar2ComplexNaN() {
- TestUtils.assertSame(Complex.NaN, ComplexUtils.polar2Complex(nan, 1));
- TestUtils.assertSame(Complex.NaN, ComplexUtils.polar2Complex(1, nan));
- TestUtils.assertSame(Complex.NaN, ComplexUtils.polar2Complex(nan, nan));
+ Assert.assertTrue(ComplexUtils.polar2Complex(nan, 1).isNaN());
+ Assert.assertTrue(ComplexUtils.polar2Complex(1, nan).isNaN());
+ Assert.assertTrue(ComplexUtils.polar2Complex(nan, nan).isNaN());
}
@Test
public void testPolar2ComplexInf() {
- TestUtils.assertSame(Complex.NaN, ComplexUtils.polar2Complex(1, inf));
- TestUtils.assertSame(Complex.NaN, ComplexUtils.polar2Complex(1, negInf));
- TestUtils.assertSame(Complex.NaN, ComplexUtils.polar2Complex(inf, inf));
- TestUtils.assertSame(Complex.NaN, ComplexUtils.polar2Complex(inf, negInf));
+ Assert.assertTrue(ComplexUtils.polar2Complex(1, inf).isNaN());
+ Assert.assertTrue(ComplexUtils.polar2Complex(1, negInf).isNaN());
+ Assert.assertTrue(ComplexUtils.polar2Complex(inf, inf).isNaN());
+ Assert.assertTrue(ComplexUtils.polar2Complex(inf, negInf).isNaN());
TestUtils.assertSame(infInf, ComplexUtils.polar2Complex(inf, pi / 4));
TestUtils.assertSame(infNaN, ComplexUtils.polar2Complex(inf, 0));
TestUtils.assertSame(infNegInf, ComplexUtils.polar2Complex(inf, -pi / 4));