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Java example source code file (ArithmeticUtilsTest.java)

This example Java source code file (ArithmeticUtilsTest.java) is included in the alvinalexander.com "Java Source Code Warehouse" project. The intent of this project is to help you "Learn Java by Example" TM.

Learn more about this Java project at its project page.

Java - Java tags/keywords

arithmeticutilstest, arraylist, biginteger, deprecated, expecting, integer, math, matharithmeticexception, mathillegalargumentexception, object, randomdatagenerator, test, util

The ArithmeticUtilsTest.java Java example source code

/*
 * 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.math3.util;

import java.util.ArrayList;
import java.util.Arrays;
import java.math.BigInteger;

import org.apache.commons.math3.exception.MathArithmeticException;
import org.apache.commons.math3.exception.MathIllegalArgumentException;
import org.apache.commons.math3.random.RandomDataGenerator;
import org.junit.Assert;
import org.junit.Test;

/**
 * Test cases for the {@link ArithmeticUtils} class.
 *
 */
public class ArithmeticUtilsTest {

    @Test
    public void testAddAndCheck() {
        int big = Integer.MAX_VALUE;
        int bigNeg = Integer.MIN_VALUE;
        Assert.assertEquals(big, ArithmeticUtils.addAndCheck(big, 0));
        try {
            ArithmeticUtils.addAndCheck(big, 1);
            Assert.fail("Expecting MathArithmeticException");
        } catch (MathArithmeticException ex) {
        }
        try {
            ArithmeticUtils.addAndCheck(bigNeg, -1);
            Assert.fail("Expecting MathArithmeticException");
        } catch (MathArithmeticException ex) {
        }
    }

    @Test
    public void testAddAndCheckLong() {
        long max = Long.MAX_VALUE;
        long min = Long.MIN_VALUE;
        Assert.assertEquals(max, ArithmeticUtils.addAndCheck(max, 0L));
        Assert.assertEquals(min, ArithmeticUtils.addAndCheck(min, 0L));
        Assert.assertEquals(max, ArithmeticUtils.addAndCheck(0L, max));
        Assert.assertEquals(min, ArithmeticUtils.addAndCheck(0L, min));
        Assert.assertEquals(1, ArithmeticUtils.addAndCheck(-1L, 2L));
        Assert.assertEquals(1, ArithmeticUtils.addAndCheck(2L, -1L));
        Assert.assertEquals(-3, ArithmeticUtils.addAndCheck(-2L, -1L));
        Assert.assertEquals(min, ArithmeticUtils.addAndCheck(min + 1, -1L));
        Assert.assertEquals(-1, ArithmeticUtils.addAndCheck(min, max));
        testAddAndCheckLongFailure(max, 1L);
        testAddAndCheckLongFailure(min, -1L);
        testAddAndCheckLongFailure(1L, max);
        testAddAndCheckLongFailure(-1L, min);
        testAddAndCheckLongFailure(max, max);
        testAddAndCheckLongFailure(min, min);
    }

    @Test
    public void testGcd() {
        int a = 30;
        int b = 50;
        int c = 77;

        Assert.assertEquals(0, ArithmeticUtils.gcd(0, 0));

        Assert.assertEquals(b, ArithmeticUtils.gcd(0, b));
        Assert.assertEquals(a, ArithmeticUtils.gcd(a, 0));
        Assert.assertEquals(b, ArithmeticUtils.gcd(0, -b));
        Assert.assertEquals(a, ArithmeticUtils.gcd(-a, 0));

        Assert.assertEquals(10, ArithmeticUtils.gcd(a, b));
        Assert.assertEquals(10, ArithmeticUtils.gcd(-a, b));
        Assert.assertEquals(10, ArithmeticUtils.gcd(a, -b));
        Assert.assertEquals(10, ArithmeticUtils.gcd(-a, -b));

        Assert.assertEquals(1, ArithmeticUtils.gcd(a, c));
        Assert.assertEquals(1, ArithmeticUtils.gcd(-a, c));
        Assert.assertEquals(1, ArithmeticUtils.gcd(a, -c));
        Assert.assertEquals(1, ArithmeticUtils.gcd(-a, -c));

        Assert.assertEquals(3 * (1<<15), ArithmeticUtils.gcd(3 * (1<<20), 9 * (1<<15)));

        Assert.assertEquals(Integer.MAX_VALUE, ArithmeticUtils.gcd(Integer.MAX_VALUE, 0));
        Assert.assertEquals(Integer.MAX_VALUE, ArithmeticUtils.gcd(-Integer.MAX_VALUE, 0));
        Assert.assertEquals(1<<30, ArithmeticUtils.gcd(1<<30, -Integer.MIN_VALUE));
        try {
            // gcd(Integer.MIN_VALUE, 0) > Integer.MAX_VALUE
            ArithmeticUtils.gcd(Integer.MIN_VALUE, 0);
            Assert.fail("expecting MathArithmeticException");
        } catch (MathArithmeticException expected) {
            // expected
        }
        try {
            // gcd(0, Integer.MIN_VALUE) > Integer.MAX_VALUE
            ArithmeticUtils.gcd(0, Integer.MIN_VALUE);
            Assert.fail("expecting MathArithmeticException");
        } catch (MathArithmeticException expected) {
            // expected
        }
        try {
            // gcd(Integer.MIN_VALUE, Integer.MIN_VALUE) > Integer.MAX_VALUE
            ArithmeticUtils.gcd(Integer.MIN_VALUE, Integer.MIN_VALUE);
            Assert.fail("expecting MathArithmeticException");
        } catch (MathArithmeticException expected) {
            // expected
        }
    }

    @Test
    public void testGcdConsistency() {
        int[] primeList = {19, 23, 53, 67, 73, 79, 101, 103, 111, 131};
        ArrayList<Integer> primes = new ArrayList();
        for (int i = 0; i < primeList.length; i++) {
            primes.add(Integer.valueOf(primeList[i]));
        }
        RandomDataGenerator randomData = new RandomDataGenerator();
        for (int i = 0; i < 20; i++) {
            Object[] sample = randomData.nextSample(primes, 4);
            int p1 = ((Integer) sample[0]).intValue();
            int p2 = ((Integer) sample[1]).intValue();
            int p3 = ((Integer) sample[2]).intValue();
            int p4 = ((Integer) sample[3]).intValue();
            int i1 = p1 * p2 * p3;
            int i2 = p1 * p2 * p4;
            int gcd = p1 * p2;
            Assert.assertEquals(gcd, ArithmeticUtils.gcd(i1, i2));
            long l1 = i1;
            long l2 = i2;
            Assert.assertEquals(gcd, ArithmeticUtils.gcd(l1, l2));
        }
    }

    @Test
    public void  testGcdLong(){
        long a = 30;
        long b = 50;
        long c = 77;

        Assert.assertEquals(0, ArithmeticUtils.gcd(0L, 0));

        Assert.assertEquals(b, ArithmeticUtils.gcd(0, b));
        Assert.assertEquals(a, ArithmeticUtils.gcd(a, 0));
        Assert.assertEquals(b, ArithmeticUtils.gcd(0, -b));
        Assert.assertEquals(a, ArithmeticUtils.gcd(-a, 0));

        Assert.assertEquals(10, ArithmeticUtils.gcd(a, b));
        Assert.assertEquals(10, ArithmeticUtils.gcd(-a, b));
        Assert.assertEquals(10, ArithmeticUtils.gcd(a, -b));
        Assert.assertEquals(10, ArithmeticUtils.gcd(-a, -b));

        Assert.assertEquals(1, ArithmeticUtils.gcd(a, c));
        Assert.assertEquals(1, ArithmeticUtils.gcd(-a, c));
        Assert.assertEquals(1, ArithmeticUtils.gcd(a, -c));
        Assert.assertEquals(1, ArithmeticUtils.gcd(-a, -c));

        Assert.assertEquals(3L * (1L<<45), ArithmeticUtils.gcd(3L * (1L<<50), 9L * (1L<<45)));

        Assert.assertEquals(1L<<45, ArithmeticUtils.gcd(1L<<45, Long.MIN_VALUE));

        Assert.assertEquals(Long.MAX_VALUE, ArithmeticUtils.gcd(Long.MAX_VALUE, 0L));
        Assert.assertEquals(Long.MAX_VALUE, ArithmeticUtils.gcd(-Long.MAX_VALUE, 0L));
        Assert.assertEquals(1, ArithmeticUtils.gcd(60247241209L, 153092023L));
        try {
            // gcd(Long.MIN_VALUE, 0) > Long.MAX_VALUE
            ArithmeticUtils.gcd(Long.MIN_VALUE, 0);
            Assert.fail("expecting MathArithmeticException");
        } catch (MathArithmeticException expected) {
            // expected
        }
        try {
            // gcd(0, Long.MIN_VALUE) > Long.MAX_VALUE
            ArithmeticUtils.gcd(0, Long.MIN_VALUE);
            Assert.fail("expecting MathArithmeticException");
        } catch (MathArithmeticException expected) {
            // expected
        }
        try {
            // gcd(Long.MIN_VALUE, Long.MIN_VALUE) > Long.MAX_VALUE
            ArithmeticUtils.gcd(Long.MIN_VALUE, Long.MIN_VALUE);
            Assert.fail("expecting MathArithmeticException");
        } catch (MathArithmeticException expected) {
            // expected
        }
    }


    @Test
    public void testLcm() {
        int a = 30;
        int b = 50;
        int c = 77;

        Assert.assertEquals(0, ArithmeticUtils.lcm(0, b));
        Assert.assertEquals(0, ArithmeticUtils.lcm(a, 0));
        Assert.assertEquals(b, ArithmeticUtils.lcm(1, b));
        Assert.assertEquals(a, ArithmeticUtils.lcm(a, 1));
        Assert.assertEquals(150, ArithmeticUtils.lcm(a, b));
        Assert.assertEquals(150, ArithmeticUtils.lcm(-a, b));
        Assert.assertEquals(150, ArithmeticUtils.lcm(a, -b));
        Assert.assertEquals(150, ArithmeticUtils.lcm(-a, -b));
        Assert.assertEquals(2310, ArithmeticUtils.lcm(a, c));

        // Assert that no intermediate value overflows:
        // The naive implementation of lcm(a,b) would be (a*b)/gcd(a,b)
        Assert.assertEquals((1<<20)*15, ArithmeticUtils.lcm((1<<20)*3, (1<<20)*5));

        // Special case
        Assert.assertEquals(0, ArithmeticUtils.lcm(0, 0));

        try {
            // lcm == abs(MIN_VALUE) cannot be represented as a nonnegative int
            ArithmeticUtils.lcm(Integer.MIN_VALUE, 1);
            Assert.fail("Expecting MathArithmeticException");
        } catch (MathArithmeticException expected) {
            // expected
        }

        try {
            // lcm == abs(MIN_VALUE) cannot be represented as a nonnegative int
            ArithmeticUtils.lcm(Integer.MIN_VALUE, 1<<20);
            Assert.fail("Expecting MathArithmeticException");
        } catch (MathArithmeticException expected) {
            // expected
        }

        try {
            ArithmeticUtils.lcm(Integer.MAX_VALUE, Integer.MAX_VALUE - 1);
            Assert.fail("Expecting MathArithmeticException");
        } catch (MathArithmeticException expected) {
            // expected
        }
    }

    @Test
    public void testLcmLong() {
        long a = 30;
        long b = 50;
        long c = 77;

        Assert.assertEquals(0, ArithmeticUtils.lcm(0, b));
        Assert.assertEquals(0, ArithmeticUtils.lcm(a, 0));
        Assert.assertEquals(b, ArithmeticUtils.lcm(1, b));
        Assert.assertEquals(a, ArithmeticUtils.lcm(a, 1));
        Assert.assertEquals(150, ArithmeticUtils.lcm(a, b));
        Assert.assertEquals(150, ArithmeticUtils.lcm(-a, b));
        Assert.assertEquals(150, ArithmeticUtils.lcm(a, -b));
        Assert.assertEquals(150, ArithmeticUtils.lcm(-a, -b));
        Assert.assertEquals(2310, ArithmeticUtils.lcm(a, c));

        Assert.assertEquals(Long.MAX_VALUE, ArithmeticUtils.lcm(60247241209L, 153092023L));

        // Assert that no intermediate value overflows:
        // The naive implementation of lcm(a,b) would be (a*b)/gcd(a,b)
        Assert.assertEquals((1L<<50)*15, ArithmeticUtils.lcm((1L<<45)*3, (1L<<50)*5));

        // Special case
        Assert.assertEquals(0L, ArithmeticUtils.lcm(0L, 0L));

        try {
            // lcm == abs(MIN_VALUE) cannot be represented as a nonnegative int
            ArithmeticUtils.lcm(Long.MIN_VALUE, 1);
            Assert.fail("Expecting MathArithmeticException");
        } catch (MathArithmeticException expected) {
            // expected
        }

        try {
            // lcm == abs(MIN_VALUE) cannot be represented as a nonnegative int
            ArithmeticUtils.lcm(Long.MIN_VALUE, 1<<20);
            Assert.fail("Expecting MathArithmeticException");
        } catch (MathArithmeticException expected) {
            // expected
        }

        Assert.assertEquals((long) Integer.MAX_VALUE * (Integer.MAX_VALUE - 1),
            ArithmeticUtils.lcm((long)Integer.MAX_VALUE, Integer.MAX_VALUE - 1));
        try {
            ArithmeticUtils.lcm(Long.MAX_VALUE, Long.MAX_VALUE - 1);
            Assert.fail("Expecting MathArithmeticException");
        } catch (MathArithmeticException expected) {
            // expected
        }
    }

    @Test
    public void testMulAndCheck() {
        int big = Integer.MAX_VALUE;
        int bigNeg = Integer.MIN_VALUE;
        Assert.assertEquals(big, ArithmeticUtils.mulAndCheck(big, 1));
        try {
            ArithmeticUtils.mulAndCheck(big, 2);
            Assert.fail("Expecting MathArithmeticException");
        } catch (MathArithmeticException ex) {
        }
        try {
            ArithmeticUtils.mulAndCheck(bigNeg, 2);
            Assert.fail("Expecting MathArithmeticException");
        } catch (MathArithmeticException ex) {
        }
    }

    @Test
    public void testMulAndCheckLong() {
        long max = Long.MAX_VALUE;
        long min = Long.MIN_VALUE;
        Assert.assertEquals(max, ArithmeticUtils.mulAndCheck(max, 1L));
        Assert.assertEquals(min, ArithmeticUtils.mulAndCheck(min, 1L));
        Assert.assertEquals(0L, ArithmeticUtils.mulAndCheck(max, 0L));
        Assert.assertEquals(0L, ArithmeticUtils.mulAndCheck(min, 0L));
        Assert.assertEquals(max, ArithmeticUtils.mulAndCheck(1L, max));
        Assert.assertEquals(min, ArithmeticUtils.mulAndCheck(1L, min));
        Assert.assertEquals(0L, ArithmeticUtils.mulAndCheck(0L, max));
        Assert.assertEquals(0L, ArithmeticUtils.mulAndCheck(0L, min));
        Assert.assertEquals(1L, ArithmeticUtils.mulAndCheck(-1L, -1L));
        Assert.assertEquals(min, ArithmeticUtils.mulAndCheck(min / 2, 2));
        testMulAndCheckLongFailure(max, 2L);
        testMulAndCheckLongFailure(2L, max);
        testMulAndCheckLongFailure(min, 2L);
        testMulAndCheckLongFailure(2L, min);
        testMulAndCheckLongFailure(min, -1L);
        testMulAndCheckLongFailure(-1L, min);
    }

    @Test
    public void testSubAndCheck() {
        int big = Integer.MAX_VALUE;
        int bigNeg = Integer.MIN_VALUE;
        Assert.assertEquals(big, ArithmeticUtils.subAndCheck(big, 0));
        Assert.assertEquals(bigNeg + 1, ArithmeticUtils.subAndCheck(bigNeg, -1));
        Assert.assertEquals(-1, ArithmeticUtils.subAndCheck(bigNeg, -big));
        try {
            ArithmeticUtils.subAndCheck(big, -1);
            Assert.fail("Expecting MathArithmeticException");
        } catch (MathArithmeticException ex) {
        }
        try {
            ArithmeticUtils.subAndCheck(bigNeg, 1);
            Assert.fail("Expecting MathArithmeticException");
        } catch (MathArithmeticException ex) {
        }
    }

    @Test
    public void testSubAndCheckErrorMessage() {
        int big = Integer.MAX_VALUE;
        try {
            ArithmeticUtils.subAndCheck(big, -1);
            Assert.fail("Expecting MathArithmeticException");
        } catch (MathArithmeticException ex) {
            Assert.assertTrue(ex.getMessage().length() > 1);
        }
    }

    @Test
    public void testSubAndCheckLong() {
        long max = Long.MAX_VALUE;
        long min = Long.MIN_VALUE;
        Assert.assertEquals(max, ArithmeticUtils.subAndCheck(max, 0));
        Assert.assertEquals(min, ArithmeticUtils.subAndCheck(min, 0));
        Assert.assertEquals(-max, ArithmeticUtils.subAndCheck(0, max));
        Assert.assertEquals(min + 1, ArithmeticUtils.subAndCheck(min, -1));
        // min == -1-max
        Assert.assertEquals(-1, ArithmeticUtils.subAndCheck(-max - 1, -max));
        Assert.assertEquals(max, ArithmeticUtils.subAndCheck(-1, -1 - max));
        testSubAndCheckLongFailure(0L, min);
        testSubAndCheckLongFailure(max, -1L);
        testSubAndCheckLongFailure(min, 1L);
    }

    @Test
    public void testPow() {

        Assert.assertEquals(1801088541, ArithmeticUtils.pow(21, 7));
        Assert.assertEquals(1, ArithmeticUtils.pow(21, 0));
        try {
            ArithmeticUtils.pow(21, -7);
            Assert.fail("Expecting MathIllegalArgumentException");
        } catch (MathIllegalArgumentException e) {
            // expected behavior
        }

        Assert.assertEquals(1801088541, ArithmeticUtils.pow(21, 7));
        Assert.assertEquals(1, ArithmeticUtils.pow(21, 0));
        try {
            ArithmeticUtils.pow(21, -7);
            Assert.fail("Expecting MathIllegalArgumentException");
        } catch (MathIllegalArgumentException e) {
            // expected behavior
        }

        Assert.assertEquals(1801088541l, ArithmeticUtils.pow(21l, 7));
        Assert.assertEquals(1l, ArithmeticUtils.pow(21l, 0));
        try {
            ArithmeticUtils.pow(21l, -7);
            Assert.fail("Expecting MathIllegalArgumentException");
        } catch (MathIllegalArgumentException e) {
            // expected behavior
        }

        BigInteger twentyOne = BigInteger.valueOf(21l);
        Assert.assertEquals(BigInteger.valueOf(1801088541l), ArithmeticUtils.pow(twentyOne, 7));
        Assert.assertEquals(BigInteger.ONE, ArithmeticUtils.pow(twentyOne, 0));
        try {
            ArithmeticUtils.pow(twentyOne, -7);
            Assert.fail("Expecting MathIllegalArgumentException");
        } catch (MathIllegalArgumentException e) {
            // expected behavior
        }

        Assert.assertEquals(BigInteger.valueOf(1801088541l), ArithmeticUtils.pow(twentyOne, 7l));
        Assert.assertEquals(BigInteger.ONE, ArithmeticUtils.pow(twentyOne, 0l));
        try {
            ArithmeticUtils.pow(twentyOne, -7l);
            Assert.fail("Expecting MathIllegalArgumentException");
        } catch (MathIllegalArgumentException e) {
            // expected behavior
        }

        Assert.assertEquals(BigInteger.valueOf(1801088541l), ArithmeticUtils.pow(twentyOne, BigInteger.valueOf(7l)));
        Assert.assertEquals(BigInteger.ONE, ArithmeticUtils.pow(twentyOne, BigInteger.ZERO));
        try {
            ArithmeticUtils.pow(twentyOne, BigInteger.valueOf(-7l));
            Assert.fail("Expecting MathIllegalArgumentException");
        } catch (MathIllegalArgumentException e) {
            // expected behavior
        }

        BigInteger bigOne =
            new BigInteger("1543786922199448028351389769265814882661837148" +
                           "4763915343722775611762713982220306372888519211" +
                           "560905579993523402015636025177602059044911261");
        Assert.assertEquals(bigOne, ArithmeticUtils.pow(twentyOne, 103));
        Assert.assertEquals(bigOne, ArithmeticUtils.pow(twentyOne, 103l));
        Assert.assertEquals(bigOne, ArithmeticUtils.pow(twentyOne, BigInteger.valueOf(103l)));

    }

    @Test
    @Deprecated
    public void testPowDeprecated() {
        Assert.assertEquals(1801088541l, ArithmeticUtils.pow(21l, 7l));
        Assert.assertEquals(1l, ArithmeticUtils.pow(21l, 0l));
        try {
            ArithmeticUtils.pow(21l, -7l);
            Assert.fail("Expecting MathIllegalArgumentException");
        } catch (MathIllegalArgumentException e) {
            // expected behavior
        }
    }

    @Test(expected=MathArithmeticException.class)
    public void testPowIntOverflow() {
        ArithmeticUtils.pow(21, 8);
    }

    @Test
    public void testPowInt() {
        final int base = 21;

        Assert.assertEquals(85766121L,
                            ArithmeticUtils.pow(base, 6));
        Assert.assertEquals(1801088541L,
                            ArithmeticUtils.pow(base, 7));
    }

    @Test(expected=MathArithmeticException.class)
    public void testPowNegativeIntOverflow() {
        ArithmeticUtils.pow(-21, 8);
    }

    @Test
    public void testPowNegativeInt() {
        final int base = -21;

        Assert.assertEquals(85766121,
                            ArithmeticUtils.pow(base, 6));
        Assert.assertEquals(-1801088541,
                            ArithmeticUtils.pow(base, 7));
    }

    @Test
    public void testPowMinusOneInt() {
        final int base = -1;
        for (int i = 0; i < 100; i++) {
            final int pow = ArithmeticUtils.pow(base, i);
            Assert.assertEquals("i: " + i, i % 2 == 0 ? 1 : -1, pow);
        }
    }

    @Test
    public void testPowOneInt() {
        final int base = 1;
        for (int i = 0; i < 100; i++) {
            final int pow = ArithmeticUtils.pow(base, i);
            Assert.assertEquals("i: " + i, 1, pow);
        }
    }

    @Test(expected=MathArithmeticException.class)
    public void testPowLongOverflow() {
        ArithmeticUtils.pow(21, 15);
    }

    @Test
    public void testPowLong() {
        final long base = 21;

        Assert.assertEquals(154472377739119461L,
                            ArithmeticUtils.pow(base, 13));
        Assert.assertEquals(3243919932521508681L,
                            ArithmeticUtils.pow(base, 14));
    }

    @Test(expected=MathArithmeticException.class)
    public void testPowNegativeLongOverflow() {
        ArithmeticUtils.pow(-21L, 15);
    }

    @Test
    public void testPowNegativeLong() {
        final long base = -21;

        Assert.assertEquals(-154472377739119461L,
                            ArithmeticUtils.pow(base, 13));
        Assert.assertEquals(3243919932521508681L,
                            ArithmeticUtils.pow(base, 14));
    }

    @Test
    public void testPowMinusOneLong() {
        final long base = -1;
        for (int i = 0; i < 100; i++) {
            final long pow = ArithmeticUtils.pow(base, i);
            Assert.assertEquals("i: " + i, i % 2 == 0 ? 1 : -1, pow);
        }
    }

    @Test
    public void testPowOneLong() {
        final long base = 1;
        for (int i = 0; i < 100; i++) {
            final long pow = ArithmeticUtils.pow(base, i);
            Assert.assertEquals("i: " + i, 1, pow);
        }
    }

    @Test
    public void testIsPowerOfTwo() {
        final int n = 1025;
        final boolean[] expected = new boolean[n];
        Arrays.fill(expected, false);
        for (int i = 1; i < expected.length; i *= 2) {
            expected[i] = true;
        }
        for (int i = 0; i < expected.length; i++) {
            final boolean actual = ArithmeticUtils.isPowerOfTwo(i);
            Assert.assertTrue(Integer.toString(i), actual == expected[i]);
        }
    }

    private void testAddAndCheckLongFailure(long a, long b) {
        try {
            ArithmeticUtils.addAndCheck(a, b);
            Assert.fail("Expecting MathArithmeticException");
        } catch (MathArithmeticException ex) {
            // success
        }
    }

    private void testMulAndCheckLongFailure(long a, long b) {
        try {
            ArithmeticUtils.mulAndCheck(a, b);
            Assert.fail("Expecting MathArithmeticException");
        } catch (MathArithmeticException ex) {
            // success
        }
    }

    private void testSubAndCheckLongFailure(long a, long b) {
        try {
            ArithmeticUtils.subAndCheck(a, b);
            Assert.fail("Expecting MathArithmeticException");
        } catch (MathArithmeticException ex) {
            // success
        }
    }
}

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