/*
* 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.fraction;
import java.math.BigDecimal;
import java.math.BigInteger;
import org.apache.commons.math4.TestUtils;
import org.apache.commons.math4.exception.ConvergenceException;
import org.apache.commons.math4.exception.MathArithmeticException;
import org.apache.commons.math4.exception.MathIllegalArgumentException;
import org.apache.commons.math4.exception.NullArgumentException;
import org.apache.commons.math4.exception.ZeroException;
import org.apache.commons.math4.fraction.BigFraction;
import org.apache.commons.math4.fraction.FractionConversionException;
import org.apache.commons.math4.util.FastMath;
import org.junit.Assert;
import org.junit.Test;
public class BigFractionTest {
private void assertFraction(int expectedNumerator, int expectedDenominator, BigFraction actual) {
Assert.assertEquals(expectedNumerator, actual.getNumeratorAsInt());
Assert.assertEquals(expectedDenominator, actual.getDenominatorAsInt());
}
private void assertFraction(long expectedNumerator, long expectedDenominator, BigFraction actual) {
Assert.assertEquals(expectedNumerator, actual.getNumeratorAsLong());
Assert.assertEquals(expectedDenominator, actual.getDenominatorAsLong());
}
@Test
public void testConstructor() {
assertFraction(0, 1, new BigFraction(0, 1));
assertFraction(0, 1, new BigFraction(0l, 2l));
assertFraction(0, 1, new BigFraction(0, -1));
assertFraction(1, 2, new BigFraction(1, 2));
assertFraction(1, 2, new BigFraction(2, 4));
assertFraction(-1, 2, new BigFraction(-1, 2));
assertFraction(-1, 2, new BigFraction(1, -2));
assertFraction(-1, 2, new BigFraction(-2, 4));
assertFraction(-1, 2, new BigFraction(2, -4));
assertFraction(11, 1, new BigFraction(11));
assertFraction(11, 1, new BigFraction(11l));
assertFraction(11, 1, new BigFraction(new BigInteger("11")));
assertFraction(0, 1, new BigFraction(0.00000000000001, 1.0e-5, 100));
assertFraction(2, 5, new BigFraction(0.40000000000001, 1.0e-5, 100));
assertFraction(15, 1, new BigFraction(15.0000000000001, 1.0e-5, 100));
Assert.assertEquals(0.00000000000001, new BigFraction(0.00000000000001).doubleValue(), 0.0);
Assert.assertEquals(0.40000000000001, new BigFraction(0.40000000000001).doubleValue(), 0.0);
Assert.assertEquals(15.0000000000001, new BigFraction(15.0000000000001).doubleValue(), 0.0);
assertFraction(3602879701896487l, 9007199254740992l, new BigFraction(0.40000000000001));
assertFraction(1055531162664967l, 70368744177664l, new BigFraction(15.0000000000001));
try {
new BigFraction(null, BigInteger.ONE);
Assert.fail("Expecting NullArgumentException");
} catch (NullArgumentException npe) {
// expected
}
try {
new BigFraction(BigInteger.ONE, null);
Assert.fail("Expecting NullArgumentException");
} catch (NullArgumentException npe) {
// expected
}
try {
new BigFraction(BigInteger.ONE, BigInteger.ZERO);
Assert.fail("Expecting ZeroException");
} catch (ZeroException npe) {
// expected
}
try {
new BigFraction(2.0 * Integer.MAX_VALUE, 1.0e-5, 100000);
Assert.fail("Expecting FractionConversionException");
} catch (FractionConversionException fce) {
// expected
}
}
@Test(expected=ConvergenceException.class)
public void testGoldenRatio() {
// the golden ratio is notoriously a difficult number for continuous fraction
new BigFraction((1 + FastMath.sqrt(5)) / 2, 1.0e-12, 25);
}
// MATH-179
@Test
public void testDoubleConstructor() throws ConvergenceException {
assertFraction(1, 2, new BigFraction((double) 1 / (double) 2, 1.0e-5, 100));
assertFraction(1, 3, new BigFraction((double) 1 / (double) 3, 1.0e-5, 100));
assertFraction(2, 3, new BigFraction((double) 2 / (double) 3, 1.0e-5, 100));
assertFraction(1, 4, new BigFraction((double) 1 / (double) 4, 1.0e-5, 100));
assertFraction(3, 4, new BigFraction((double) 3 / (double) 4, 1.0e-5, 100));
assertFraction(1, 5, new BigFraction((double) 1 / (double) 5, 1.0e-5, 100));
assertFraction(2, 5, new BigFraction((double) 2 / (double) 5, 1.0e-5, 100));
assertFraction(3, 5, new BigFraction((double) 3 / (double) 5, 1.0e-5, 100));
assertFraction(4, 5, new BigFraction((double) 4 / (double) 5, 1.0e-5, 100));
assertFraction(1, 6, new BigFraction((double) 1 / (double) 6, 1.0e-5, 100));
assertFraction(5, 6, new BigFraction((double) 5 / (double) 6, 1.0e-5, 100));
assertFraction(1, 7, new BigFraction((double) 1 / (double) 7, 1.0e-5, 100));
assertFraction(2, 7, new BigFraction((double) 2 / (double) 7, 1.0e-5, 100));
assertFraction(3, 7, new BigFraction((double) 3 / (double) 7, 1.0e-5, 100));
assertFraction(4, 7, new BigFraction((double) 4 / (double) 7, 1.0e-5, 100));
assertFraction(5, 7, new BigFraction((double) 5 / (double) 7, 1.0e-5, 100));
assertFraction(6, 7, new BigFraction((double) 6 / (double) 7, 1.0e-5, 100));
assertFraction(1, 8, new BigFraction((double) 1 / (double) 8, 1.0e-5, 100));
assertFraction(3, 8, new BigFraction((double) 3 / (double) 8, 1.0e-5, 100));
assertFraction(5, 8, new BigFraction((double) 5 / (double) 8, 1.0e-5, 100));
assertFraction(7, 8, new BigFraction((double) 7 / (double) 8, 1.0e-5, 100));
assertFraction(1, 9, new BigFraction((double) 1 / (double) 9, 1.0e-5, 100));
assertFraction(2, 9, new BigFraction((double) 2 / (double) 9, 1.0e-5, 100));
assertFraction(4, 9, new BigFraction((double) 4 / (double) 9, 1.0e-5, 100));
assertFraction(5, 9, new BigFraction((double) 5 / (double) 9, 1.0e-5, 100));
assertFraction(7, 9, new BigFraction((double) 7 / (double) 9, 1.0e-5, 100));
assertFraction(8, 9, new BigFraction((double) 8 / (double) 9, 1.0e-5, 100));
assertFraction(1, 10, new BigFraction((double) 1 / (double) 10, 1.0e-5, 100));
assertFraction(3, 10, new BigFraction((double) 3 / (double) 10, 1.0e-5, 100));
assertFraction(7, 10, new BigFraction((double) 7 / (double) 10, 1.0e-5, 100));
assertFraction(9, 10, new BigFraction((double) 9 / (double) 10, 1.0e-5, 100));
assertFraction(1, 11, new BigFraction((double) 1 / (double) 11, 1.0e-5, 100));
assertFraction(2, 11, new BigFraction((double) 2 / (double) 11, 1.0e-5, 100));
assertFraction(3, 11, new BigFraction((double) 3 / (double) 11, 1.0e-5, 100));
assertFraction(4, 11, new BigFraction((double) 4 / (double) 11, 1.0e-5, 100));
assertFraction(5, 11, new BigFraction((double) 5 / (double) 11, 1.0e-5, 100));
assertFraction(6, 11, new BigFraction((double) 6 / (double) 11, 1.0e-5, 100));
assertFraction(7, 11, new BigFraction((double) 7 / (double) 11, 1.0e-5, 100));
assertFraction(8, 11, new BigFraction((double) 8 / (double) 11, 1.0e-5, 100));
assertFraction(9, 11, new BigFraction((double) 9 / (double) 11, 1.0e-5, 100));
assertFraction(10, 11, new BigFraction((double) 10 / (double) 11, 1.0e-5, 100));
}
// MATH-181
@Test
public void testDigitLimitConstructor() throws ConvergenceException {
assertFraction(2, 5, new BigFraction(0.4, 9));
assertFraction(2, 5, new BigFraction(0.4, 99));
assertFraction(2, 5, new BigFraction(0.4, 999));
assertFraction(3, 5, new BigFraction(0.6152, 9));
assertFraction(8, 13, new BigFraction(0.6152, 99));
assertFraction(510, 829, new BigFraction(0.6152, 999));
assertFraction(769, 1250, new BigFraction(0.6152, 9999));
// MATH-996
assertFraction(1, 2, new BigFraction(0.5000000001, 10));
}
// MATH-1029
@Test(expected=FractionConversionException.class)
public void testPositiveValueOverflow() {
assertFraction((long) 1e10, 1, new BigFraction(1e10, 1000));
}
// MATH-1029
@Test(expected=FractionConversionException.class)
public void testNegativeValueOverflow() {
assertFraction((long) -1e10, 1, new BigFraction(-1e10, 1000));
}
@Test
public void testEpsilonLimitConstructor() throws ConvergenceException {
assertFraction(2, 5, new BigFraction(0.4, 1.0e-5, 100));
assertFraction(3, 5, new BigFraction(0.6152, 0.02, 100));
assertFraction(8, 13, new BigFraction(0.6152, 1.0e-3, 100));
assertFraction(251, 408, new BigFraction(0.6152, 1.0e-4, 100));
assertFraction(251, 408, new BigFraction(0.6152, 1.0e-5, 100));
assertFraction(510, 829, new BigFraction(0.6152, 1.0e-6, 100));
assertFraction(769, 1250, new BigFraction(0.6152, 1.0e-7, 100));
}
@Test
public void testCompareTo() {
BigFraction first = new BigFraction(1, 2);
BigFraction second = new BigFraction(1, 3);
BigFraction third = new BigFraction(1, 2);
Assert.assertEquals(0, first.compareTo(first));
Assert.assertEquals(0, first.compareTo(third));
Assert.assertEquals(1, first.compareTo(second));
Assert.assertEquals(-1, second.compareTo(first));
// these two values are different approximations of PI
// the first one is approximately PI - 3.07e-18
// the second one is approximately PI + 1.936e-17
BigFraction pi1 = new BigFraction(1068966896, 340262731);
BigFraction pi2 = new BigFraction( 411557987, 131002976);
Assert.assertEquals(-1, pi1.compareTo(pi2));
Assert.assertEquals( 1, pi2.compareTo(pi1));
Assert.assertEquals(0.0, pi1.doubleValue() - pi2.doubleValue(), 1.0e-20);
}
@Test
public void testDoubleValue() {
BigFraction first = new BigFraction(1, 2);
BigFraction second = new BigFraction(1, 3);
Assert.assertEquals(0.5, first.doubleValue(), 0.0);
Assert.assertEquals(1.0 / 3.0, second.doubleValue(), 0.0);
}
// MATH-744
@Test
public void testDoubleValueForLargeNumeratorAndDenominator() {
final BigInteger pow400 = BigInteger.TEN.pow(400);
final BigInteger pow401 = BigInteger.TEN.pow(401);
final BigInteger two = new BigInteger("2");
final BigFraction large = new BigFraction(pow401.add(BigInteger.ONE),
pow400.multiply(two));
Assert.assertEquals(5, large.doubleValue(), 1e-15);
}
// MATH-744
@Test
public void testFloatValueForLargeNumeratorAndDenominator() {
final BigInteger pow400 = BigInteger.TEN.pow(400);
final BigInteger pow401 = BigInteger.TEN.pow(401);
final BigInteger two = new BigInteger("2");
final BigFraction large = new BigFraction(pow401.add(BigInteger.ONE),
pow400.multiply(two));
Assert.assertEquals(5, large.floatValue(), 1e-15);
}
@Test
public void testFloatValue() {
BigFraction first = new BigFraction(1, 2);
BigFraction second = new BigFraction(1, 3);
Assert.assertEquals(0.5f, first.floatValue(), 0.0f);
Assert.assertEquals((float) (1.0 / 3.0), second.floatValue(), 0.0f);
}
@Test
public void testIntValue() {
BigFraction first = new BigFraction(1, 2);
BigFraction second = new BigFraction(3, 2);
Assert.assertEquals(0, first.intValue());
Assert.assertEquals(1, second.intValue());
}
@Test
public void testLongValue() {
BigFraction first = new BigFraction(1, 2);
BigFraction second = new BigFraction(3, 2);
Assert.assertEquals(0L, first.longValue());
Assert.assertEquals(1L, second.longValue());
}
@Test
public void testConstructorDouble() {
assertFraction(1, 2, new BigFraction(0.5));
assertFraction(6004799503160661l, 18014398509481984l, new BigFraction(1.0 / 3.0));
assertFraction(6124895493223875l, 36028797018963968l, new BigFraction(17.0 / 100.0));
assertFraction(1784551352345559l, 562949953421312l, new BigFraction(317.0 / 100.0));
assertFraction(-1, 2, new BigFraction(-0.5));
assertFraction(-6004799503160661l, 18014398509481984l, new BigFraction(-1.0 / 3.0));
assertFraction(-6124895493223875l, 36028797018963968l, new BigFraction(17.0 / -100.0));
assertFraction(-1784551352345559l, 562949953421312l, new BigFraction(-317.0 / 100.0));
for (double v : new double[] { Double.NaN, Double.NEGATIVE_INFINITY, Double.POSITIVE_INFINITY}) {
try {
new BigFraction(v);
Assert.fail("Expecting MathIllegalArgumentException");
} catch (MathIllegalArgumentException iae) {
// expected
}
}
Assert.assertEquals(1l, new BigFraction(Double.MAX_VALUE).getDenominatorAsLong());
Assert.assertEquals(1l, new BigFraction(Double.longBitsToDouble(0x0010000000000000L)).getNumeratorAsLong());
Assert.assertEquals(1l, new BigFraction(Double.MIN_VALUE).getNumeratorAsLong());
}
@Test
public void testAbs() {
BigFraction a = new BigFraction(10, 21);
BigFraction b = new BigFraction(-10, 21);
BigFraction c = new BigFraction(10, -21);
assertFraction(10, 21, a.abs());
assertFraction(10, 21, b.abs());
assertFraction(10, 21, c.abs());
}
@Test
public void testReciprocal() {
BigFraction f = null;
f = new BigFraction(50, 75);
f = f.reciprocal();
Assert.assertEquals(3, f.getNumeratorAsInt());
Assert.assertEquals(2, f.getDenominatorAsInt());
f = new BigFraction(4, 3);
f = f.reciprocal();
Assert.assertEquals(3, f.getNumeratorAsInt());
Assert.assertEquals(4, f.getDenominatorAsInt());
f = new BigFraction(-15, 47);
f = f.reciprocal();
Assert.assertEquals(-47, f.getNumeratorAsInt());
Assert.assertEquals(15, f.getDenominatorAsInt());
f = new BigFraction(0, 3);
try {
f = f.reciprocal();
Assert.fail("expecting ZeroException");
} catch (ZeroException ex) {
}
// large values
f = new BigFraction(Integer.MAX_VALUE, 1);
f = f.reciprocal();
Assert.assertEquals(1, f.getNumeratorAsInt());
Assert.assertEquals(Integer.MAX_VALUE, f.getDenominatorAsInt());
}
@Test
public void testNegate() {
BigFraction f = null;
f = new BigFraction(50, 75);
f = f.negate();
Assert.assertEquals(-2, f.getNumeratorAsInt());
Assert.assertEquals(3, f.getDenominatorAsInt());
f = new BigFraction(-50, 75);
f = f.negate();
Assert.assertEquals(2, f.getNumeratorAsInt());
Assert.assertEquals(3, f.getDenominatorAsInt());
// large values
f = new BigFraction(Integer.MAX_VALUE - 1, Integer.MAX_VALUE);
f = f.negate();
Assert.assertEquals(Integer.MIN_VALUE + 2, f.getNumeratorAsInt());
Assert.assertEquals(Integer.MAX_VALUE, f.getDenominatorAsInt());
}
@Test
public void testAdd() {
BigFraction a = new BigFraction(1, 2);
BigFraction b = new BigFraction(2, 3);
assertFraction(1, 1, a.add(a));
assertFraction(7, 6, a.add(b));
assertFraction(7, 6, b.add(a));
assertFraction(4, 3, b.add(b));
BigFraction f1 = new BigFraction(Integer.MAX_VALUE - 1, 1);
BigFraction f2 = BigFraction.ONE;
BigFraction f = f1.add(f2);
Assert.assertEquals(Integer.MAX_VALUE, f.getNumeratorAsInt());
Assert.assertEquals(1, f.getDenominatorAsInt());
f1 = new BigFraction(-1, 13 * 13 * 2 * 2);
f2 = new BigFraction(-2, 13 * 17 * 2);
f = f1.add(f2);
Assert.assertEquals(13 * 13 * 17 * 2 * 2, f.getDenominatorAsInt());
Assert.assertEquals(-17 - 2 * 13 * 2, f.getNumeratorAsInt());
try {
f.add((BigFraction) null);
Assert.fail("expecting NullArgumentException");
} catch (NullArgumentException ex) {
}
// if this fraction is added naively, it will overflow.
// check that it doesn't.
f1 = new BigFraction(1, 32768 * 3);
f2 = new BigFraction(1, 59049);
f = f1.add(f2);
Assert.assertEquals(52451, f.getNumeratorAsInt());
Assert.assertEquals(1934917632, f.getDenominatorAsInt());
f1 = new BigFraction(Integer.MIN_VALUE, 3);
f2 = new BigFraction(1, 3);
f = f1.add(f2);
Assert.assertEquals(Integer.MIN_VALUE + 1, f.getNumeratorAsInt());
Assert.assertEquals(3, f.getDenominatorAsInt());
f1 = new BigFraction(Integer.MAX_VALUE - 1, 1);
f = f1.add(BigInteger.ONE);
Assert.assertEquals(Integer.MAX_VALUE, f.getNumeratorAsInt());
Assert.assertEquals(1, f.getDenominatorAsInt());
f = f.add(BigInteger.ZERO);
Assert.assertEquals(Integer.MAX_VALUE, f.getNumeratorAsInt());
Assert.assertEquals(1, f.getDenominatorAsInt());
f1 = new BigFraction(Integer.MAX_VALUE - 1, 1);
f = f1.add(1);
Assert.assertEquals(Integer.MAX_VALUE, f.getNumeratorAsInt());
Assert.assertEquals(1, f.getDenominatorAsInt());
f = f.add(0);
Assert.assertEquals(Integer.MAX_VALUE, f.getNumeratorAsInt());
Assert.assertEquals(1, f.getDenominatorAsInt());
f1 = new BigFraction(Integer.MAX_VALUE - 1, 1);
f = f1.add(1l);
Assert.assertEquals(Integer.MAX_VALUE, f.getNumeratorAsInt());
Assert.assertEquals(1, f.getDenominatorAsInt());
f = f.add(0l);
Assert.assertEquals(Integer.MAX_VALUE, f.getNumeratorAsInt());
Assert.assertEquals(1, f.getDenominatorAsInt());
}
@Test
public void testDivide() {
BigFraction a = new BigFraction(1, 2);
BigFraction b = new BigFraction(2, 3);
assertFraction(1, 1, a.divide(a));
assertFraction(3, 4, a.divide(b));
assertFraction(4, 3, b.divide(a));
assertFraction(1, 1, b.divide(b));
BigFraction f1 = new BigFraction(3, 5);
BigFraction f2 = BigFraction.ZERO;
try {
f1.divide(f2);
Assert.fail("expecting MathArithmeticException");
} catch (MathArithmeticException ex) {
}
f1 = new BigFraction(0, 5);
f2 = new BigFraction(2, 7);
BigFraction f = f1.divide(f2);
Assert.assertSame(BigFraction.ZERO, f);
f1 = new BigFraction(2, 7);
f2 = BigFraction.ONE;
f = f1.divide(f2);
Assert.assertEquals(2, f.getNumeratorAsInt());
Assert.assertEquals(7, f.getDenominatorAsInt());
f1 = new BigFraction(1, Integer.MAX_VALUE);
f = f1.divide(f1);
Assert.assertEquals(1, f.getNumeratorAsInt());
Assert.assertEquals(1, f.getDenominatorAsInt());
f1 = new BigFraction(Integer.MIN_VALUE, Integer.MAX_VALUE);
f2 = new BigFraction(1, Integer.MAX_VALUE);
f = f1.divide(f2);
Assert.assertEquals(Integer.MIN_VALUE, f.getNumeratorAsInt());
Assert.assertEquals(1, f.getDenominatorAsInt());
try {
f.divide((BigFraction) null);
Assert.fail("expecting NullArgumentException");
} catch (NullArgumentException ex) {
}
f1 = new BigFraction(Integer.MIN_VALUE, Integer.MAX_VALUE);
f = f1.divide(BigInteger.valueOf(Integer.MIN_VALUE));
Assert.assertEquals(Integer.MAX_VALUE, f.getDenominatorAsInt());
Assert.assertEquals(1, f.getNumeratorAsInt());
f1 = new BigFraction(Integer.MIN_VALUE, Integer.MAX_VALUE);
f = f1.divide(Integer.MIN_VALUE);
Assert.assertEquals(Integer.MAX_VALUE, f.getDenominatorAsInt());
Assert.assertEquals(1, f.getNumeratorAsInt());
f1 = new BigFraction(Integer.MIN_VALUE, Integer.MAX_VALUE);
f = f1.divide((long) Integer.MIN_VALUE);
Assert.assertEquals(Integer.MAX_VALUE, f.getDenominatorAsInt());
Assert.assertEquals(1, f.getNumeratorAsInt());
}
@Test
public void testMultiply() {
BigFraction a = new BigFraction(1, 2);
BigFraction b = new BigFraction(2, 3);
assertFraction(1, 4, a.multiply(a));
assertFraction(1, 3, a.multiply(b));
assertFraction(1, 3, b.multiply(a));
assertFraction(4, 9, b.multiply(b));
BigFraction f1 = new BigFraction(Integer.MAX_VALUE, 1);
BigFraction f2 = new BigFraction(Integer.MIN_VALUE, Integer.MAX_VALUE);
BigFraction f = f1.multiply(f2);
Assert.assertEquals(Integer.MIN_VALUE, f.getNumeratorAsInt());
Assert.assertEquals(1, f.getDenominatorAsInt());
f = f2.multiply(Integer.MAX_VALUE);
Assert.assertEquals(Integer.MIN_VALUE, f.getNumeratorAsInt());
Assert.assertEquals(1, f.getDenominatorAsInt());
f = f2.multiply((long) Integer.MAX_VALUE);
Assert.assertEquals(Integer.MIN_VALUE, f.getNumeratorAsInt());
Assert.assertEquals(1, f.getDenominatorAsInt());
try {
f.multiply((BigFraction) null);
Assert.fail("expecting NullArgumentException");
} catch (NullArgumentException ex) {
}
}
@Test
public void testSubtract() {
BigFraction a = new BigFraction(1, 2);
BigFraction b = new BigFraction(2, 3);
assertFraction(0, 1, a.subtract(a));
assertFraction(-1, 6, a.subtract(b));
assertFraction(1, 6, b.subtract(a));
assertFraction(0, 1, b.subtract(b));
BigFraction f = new BigFraction(1, 1);
try {
f.subtract((BigFraction) null);
Assert.fail("expecting NullArgumentException");
} catch (NullArgumentException ex) {
}
// if this fraction is subtracted naively, it will overflow.
// check that it doesn't.
BigFraction f1 = new BigFraction(1, 32768 * 3);
BigFraction f2 = new BigFraction(1, 59049);
f = f1.subtract(f2);
Assert.assertEquals(-13085, f.getNumeratorAsInt());
Assert.assertEquals(1934917632, f.getDenominatorAsInt());
f1 = new BigFraction(Integer.MIN_VALUE, 3);
f2 = new BigFraction(1, 3).negate();
f = f1.subtract(f2);
Assert.assertEquals(Integer.MIN_VALUE + 1, f.getNumeratorAsInt());
Assert.assertEquals(3, f.getDenominatorAsInt());
f1 = new BigFraction(Integer.MAX_VALUE, 1);
f2 = BigFraction.ONE;
f = f1.subtract(f2);
Assert.assertEquals(Integer.MAX_VALUE - 1, f.getNumeratorAsInt());
Assert.assertEquals(1, f.getDenominatorAsInt());
}
@Test
public void testBigDecimalValue() {
Assert.assertEquals(new BigDecimal(0.5), new BigFraction(1, 2).bigDecimalValue());
Assert.assertEquals(new BigDecimal("0.0003"), new BigFraction(3, 10000).bigDecimalValue());
Assert.assertEquals(new BigDecimal("0"), new BigFraction(1, 3).bigDecimalValue(BigDecimal.ROUND_DOWN));
Assert.assertEquals(new BigDecimal("0.333"), new BigFraction(1, 3).bigDecimalValue(3, BigDecimal.ROUND_DOWN));
}
@Test
public void testEqualsAndHashCode() {
BigFraction zero = new BigFraction(0, 1);
BigFraction nullFraction = null;
Assert.assertTrue(zero.equals(zero));
Assert.assertFalse(zero.equals(nullFraction));
Assert.assertFalse(zero.equals(Double.valueOf(0)));
BigFraction zero2 = new BigFraction(0, 2);
Assert.assertTrue(zero.equals(zero2));
Assert.assertEquals(zero.hashCode(), zero2.hashCode());
BigFraction one = new BigFraction(1, 1);
Assert.assertFalse((one.equals(zero) || zero.equals(one)));
Assert.assertTrue(one.equals(BigFraction.ONE));
}
@Test
public void testGetReducedFraction() {
BigFraction threeFourths = new BigFraction(3, 4);
Assert.assertTrue(threeFourths.equals(BigFraction.getReducedFraction(6, 8)));
Assert.assertTrue(BigFraction.ZERO.equals(BigFraction.getReducedFraction(0, -1)));
try {
BigFraction.getReducedFraction(1, 0);
Assert.fail("expecting ZeroException");
} catch (ZeroException ex) {
// expected
}
Assert.assertEquals(BigFraction.getReducedFraction(2, Integer.MIN_VALUE).getNumeratorAsInt(), -1);
Assert.assertEquals(BigFraction.getReducedFraction(1, -1).getNumeratorAsInt(), -1);
}
@Test
public void testPercentage() {
Assert.assertEquals(50.0, new BigFraction(1, 2).percentageValue(), 1.0e-15);
}
@Test
public void testPow() {
Assert.assertEquals(new BigFraction(8192, 1594323), new BigFraction(2, 3).pow(13));
Assert.assertEquals(new BigFraction(8192, 1594323), new BigFraction(2, 3).pow(13l));
Assert.assertEquals(new BigFraction(8192, 1594323), new BigFraction(2, 3).pow(BigInteger.valueOf(13l)));
Assert.assertEquals(BigFraction.ONE, new BigFraction(2, 3).pow(0));
Assert.assertEquals(BigFraction.ONE, new BigFraction(2, 3).pow(0l));
Assert.assertEquals(BigFraction.ONE, new BigFraction(2, 3).pow(BigInteger.valueOf(0l)));
Assert.assertEquals(new BigFraction(1594323, 8192), new BigFraction(2, 3).pow(-13));
Assert.assertEquals(new BigFraction(1594323, 8192), new BigFraction(2, 3).pow(-13l));
Assert.assertEquals(new BigFraction(1594323, 8192), new BigFraction(2, 3).pow(BigInteger.valueOf(-13l)));
}
@Test
public void testMath340() {
BigFraction fractionA = new BigFraction(0.00131);
BigFraction fractionB = new BigFraction(.37).reciprocal();
BigFraction errorResult = fractionA.multiply(fractionB);
BigFraction correctResult = new BigFraction(fractionA.getNumerator().multiply(fractionB.getNumerator()),
fractionA.getDenominator().multiply(fractionB.getDenominator()));
Assert.assertEquals(correctResult, errorResult);
}
@Test
public void testSerial() throws FractionConversionException {
BigFraction[] fractions = {
new BigFraction(3, 4), BigFraction.ONE, BigFraction.ZERO,
new BigFraction(17), new BigFraction(FastMath.PI, 1000),
new BigFraction(-5, 2)
};
for (BigFraction fraction : fractions) {
Assert.assertEquals(fraction, TestUtils.serializeAndRecover(fraction));
}
}
}