/*
 * 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.math.fraction;

import java.math.BigDecimal;
import java.math.BigInteger;

import org.apache.commons.math.ConvergenceException;

import junit.framework.TestCase;

public class BigFractionTest extends TestCase {

	private void assertFraction(int expectedNumerator, int expectedDenominator, BigFraction actual) {
		assertEquals(expectedNumerator, actual.getNumeratorAsInt());
		assertEquals(expectedDenominator, actual.getDenominatorAsInt());
	}

	private void assertFraction(long expectedNumerator, long expectedDenominator, BigFraction actual) {
		assertEquals(expectedNumerator, actual.getNumeratorAsLong());
		assertEquals(expectedDenominator, actual.getDenominatorAsLong());
	}

	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")));

		try {
			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));
		} catch (ConvergenceException ex) {
			fail(ex.getMessage());
		}
		assertEquals(0.00000000000001, new BigFraction(0.00000000000001).doubleValue(), 0.0);
		assertEquals(0.40000000000001, new BigFraction(0.40000000000001).doubleValue(), 0.0);
		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);
		} catch (NullPointerException npe) {
			// expected
		}
		try {
			new BigFraction(BigInteger.ONE, null);
		} catch (NullPointerException npe) {
			// expected
		}
		try {
			new BigFraction(BigInteger.ONE, BigInteger.ZERO);
		} catch (ArithmeticException npe) {
			// expected
		}
		try {
			new BigFraction(2.0 * Integer.MAX_VALUE, 1.0e-5, 100000);
		} catch (FractionConversionException fce) {
			// expected
		}
	}

	public void testGoldenRatio() {
		try {
			// the golden ratio is notoriously a difficult number for continuous
			// fraction
			new BigFraction((1 + Math.sqrt(5)) / 2, 1.0e-12, 25);
			fail("an exception should have been thrown");
		} catch (ConvergenceException ce) {
			// expected behavior
		} catch (Exception e) {
			fail("wrong exception caught");
		}
	}

	// MATH-179
	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
	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));
	}

	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));
	}

	public void testCompareTo() {
		BigFraction first = new BigFraction(1, 2);
		BigFraction second = new BigFraction(1, 3);
		BigFraction third = new BigFraction(1, 2);

		assertEquals(0, first.compareTo(first));
		assertEquals(0, first.compareTo(third));
		assertEquals(1, first.compareTo(second));
		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);
		assertEquals(-1, pi1.compareTo(pi2));
		assertEquals(1, pi2.compareTo(pi1));
		assertEquals(0.0, pi1.doubleValue() - pi2.doubleValue(), 1.0e-20);

	}

	public void testDoubleValue() {
		BigFraction first = new BigFraction(1, 2);
		BigFraction second = new BigFraction(1, 3);

		assertEquals(0.5, first.doubleValue(), 0.0);
		assertEquals(1.0 / 3.0, second.doubleValue(), 0.0);
	}

	public void testFloatValue() {
		BigFraction first = new BigFraction(1, 2);
		BigFraction second = new BigFraction(1, 3);

		assertEquals(0.5f, first.floatValue(), 0.0f);
		assertEquals((float) (1.0 / 3.0), second.floatValue(), 0.0f);
	}

	public void testIntValue() {
		BigFraction first = new BigFraction(1, 2);
		BigFraction second = new BigFraction(3, 2);

		assertEquals(0, first.intValue());
		assertEquals(1, second.intValue());
	}

	public void testLongValue() {
		BigFraction first = new BigFraction(1, 2);
		BigFraction second = new BigFraction(3, 2);

		assertEquals(0L, first.longValue());
		assertEquals(1L, second.longValue());
	}

	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);
				fail("expected exception");
			} catch (IllegalArgumentException iae) {
				// expected
			}
		}
		assertEquals(1l, new BigFraction(Double.MAX_VALUE).getDenominatorAsLong());
		assertEquals(1l, new BigFraction(Double.longBitsToDouble(0x0010000000000000L)).getNumeratorAsLong());
		assertEquals(1l, new BigFraction(Double.MIN_VALUE).getNumeratorAsLong());
	}

	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());
	}

	public void testReciprocal() {
		BigFraction f = null;

		f = new BigFraction(50, 75);
		f = f.reciprocal();
		assertEquals(3, f.getNumeratorAsInt());
		assertEquals(2, f.getDenominatorAsInt());

		f = new BigFraction(4, 3);
		f = f.reciprocal();
		assertEquals(3, f.getNumeratorAsInt());
		assertEquals(4, f.getDenominatorAsInt());

		f = new BigFraction(-15, 47);
		f = f.reciprocal();
		assertEquals(-47, f.getNumeratorAsInt());
		assertEquals(15, f.getDenominatorAsInt());

		f = new BigFraction(0, 3);
		try {
			f = f.reciprocal();
			fail("expecting ArithmeticException");
		} catch (ArithmeticException ex) {
		}

		// large values
		f = new BigFraction(Integer.MAX_VALUE, 1);
		f = f.reciprocal();
		assertEquals(1, f.getNumeratorAsInt());
		assertEquals(Integer.MAX_VALUE, f.getDenominatorAsInt());
	}

	public void testNegate() {
		BigFraction f = null;

		f = new BigFraction(50, 75);
		f = f.negate();
		assertEquals(-2, f.getNumeratorAsInt());
		assertEquals(3, f.getDenominatorAsInt());

		f = new BigFraction(-50, 75);
		f = f.negate();
		assertEquals(2, f.getNumeratorAsInt());
		assertEquals(3, f.getDenominatorAsInt());

		// large values
		f = new BigFraction(Integer.MAX_VALUE - 1, Integer.MAX_VALUE);
		f = f.negate();
		assertEquals(Integer.MIN_VALUE + 2, f.getNumeratorAsInt());
		assertEquals(Integer.MAX_VALUE, f.getDenominatorAsInt());

	}

	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);
		assertEquals(Integer.MAX_VALUE, f.getNumeratorAsInt());
		assertEquals(1, f.getDenominatorAsInt());

		f1 = new BigFraction(-1, 13 * 13 * 2 * 2);
		f2 = new BigFraction(-2, 13 * 17 * 2);
		f = f1.add(f2);
		assertEquals(13 * 13 * 17 * 2 * 2, f.getDenominatorAsInt());
		assertEquals(-17 - 2 * 13 * 2, f.getNumeratorAsInt());

		try {
			f.add((BigFraction) null);
			fail("expecting NullPointerException");
		} catch (NullPointerException 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);
		assertEquals(52451, f.getNumeratorAsInt());
		assertEquals(1934917632, f.getDenominatorAsInt());

		f1 = new BigFraction(Integer.MIN_VALUE, 3);
		f2 = new BigFraction(1, 3);
		f = f1.add(f2);
		assertEquals(Integer.MIN_VALUE + 1, f.getNumeratorAsInt());
		assertEquals(3, f.getDenominatorAsInt());

		f1 = new BigFraction(Integer.MAX_VALUE - 1, 1);
		f = f1.add(BigInteger.ONE);
		assertEquals(Integer.MAX_VALUE, f.getNumeratorAsInt());
		assertEquals(1, f.getDenominatorAsInt());

		f = f.add(BigInteger.ZERO);
		assertEquals(Integer.MAX_VALUE, f.getNumeratorAsInt());
		assertEquals(1, f.getDenominatorAsInt());

		f1 = new BigFraction(Integer.MAX_VALUE - 1, 1);
		f = f1.add(1);
		assertEquals(Integer.MAX_VALUE, f.getNumeratorAsInt());
		assertEquals(1, f.getDenominatorAsInt());

		f = f.add(0);
		assertEquals(Integer.MAX_VALUE, f.getNumeratorAsInt());
		assertEquals(1, f.getDenominatorAsInt());

		f1 = new BigFraction(Integer.MAX_VALUE - 1, 1);
		f = f1.add(1l);
		assertEquals(Integer.MAX_VALUE, f.getNumeratorAsInt());
		assertEquals(1, f.getDenominatorAsInt());

		f = f.add(0l);
		assertEquals(Integer.MAX_VALUE, f.getNumeratorAsInt());
		assertEquals(1, f.getDenominatorAsInt());

	}

	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);
			fail("expecting ArithmeticException");
		} catch (ArithmeticException ex) {
		}

		f1 = new BigFraction(0, 5);
		f2 = new BigFraction(2, 7);
		BigFraction f = f1.divide(f2);
		assertSame(BigFraction.ZERO, f);

		f1 = new BigFraction(2, 7);
		f2 = BigFraction.ONE;
		f = f1.divide(f2);
		assertEquals(2, f.getNumeratorAsInt());
		assertEquals(7, f.getDenominatorAsInt());

		f1 = new BigFraction(1, Integer.MAX_VALUE);
		f = f1.divide(f1);
		assertEquals(1, f.getNumeratorAsInt());
		assertEquals(1, f.getDenominatorAsInt());

		f1 = new BigFraction(Integer.MIN_VALUE, Integer.MAX_VALUE);
		f2 = new BigFraction(1, Integer.MAX_VALUE);
		f = f1.divide(f2);
		assertEquals(Integer.MIN_VALUE, f.getNumeratorAsInt());
		assertEquals(1, f.getDenominatorAsInt());

		try {
			f.divide((BigFraction) null);
			fail("expecting NullPointerException");
		} catch (NullPointerException ex) {
		}

		f1 = new BigFraction(Integer.MIN_VALUE, Integer.MAX_VALUE);
		f = f1.divide(BigInteger.valueOf(Integer.MIN_VALUE));
		assertEquals(Integer.MAX_VALUE, f.getDenominatorAsInt());
		assertEquals(1, f.getNumeratorAsInt());

		f1 = new BigFraction(Integer.MIN_VALUE, Integer.MAX_VALUE);
		f = f1.divide(Integer.MIN_VALUE);
		assertEquals(Integer.MAX_VALUE, f.getDenominatorAsInt());
		assertEquals(1, f.getNumeratorAsInt());

		f1 = new BigFraction(Integer.MIN_VALUE, Integer.MAX_VALUE);
		f = f1.divide((long) Integer.MIN_VALUE);
		assertEquals(Integer.MAX_VALUE, f.getDenominatorAsInt());
		assertEquals(1, f.getNumeratorAsInt());

	}

	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);
		assertEquals(Integer.MIN_VALUE, f.getNumeratorAsInt());
		assertEquals(1, f.getDenominatorAsInt());

		f = f2.multiply(Integer.MAX_VALUE);
		assertEquals(Integer.MIN_VALUE, f.getNumeratorAsInt());
		assertEquals(1, f.getDenominatorAsInt());

		f = f2.multiply((long) Integer.MAX_VALUE);
		assertEquals(Integer.MIN_VALUE, f.getNumeratorAsInt());
		assertEquals(1, f.getDenominatorAsInt());

		try {
			f.multiply((BigFraction) null);
			fail("expecting NullPointerException");
		} catch (NullPointerException ex) {
		}

	}

	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);
			fail("expecting NullPointerException");
		} catch (NullPointerException 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);
		assertEquals(-13085, f.getNumeratorAsInt());
		assertEquals(1934917632, f.getDenominatorAsInt());

		f1 = new BigFraction(Integer.MIN_VALUE, 3);
		f2 = new BigFraction(1, 3).negate();
		f = f1.subtract(f2);
		assertEquals(Integer.MIN_VALUE + 1, f.getNumeratorAsInt());
		assertEquals(3, f.getDenominatorAsInt());

		f1 = new BigFraction(Integer.MAX_VALUE, 1);
		f2 = BigFraction.ONE;
		f = f1.subtract(f2);
		assertEquals(Integer.MAX_VALUE - 1, f.getNumeratorAsInt());
		assertEquals(1, f.getDenominatorAsInt());

	}

	public void testBigDecimalValue() {
		assertEquals(new BigDecimal(0.5), new BigFraction(1, 2).bigDecimalValue());
		assertEquals(new BigDecimal("0.0003"), new BigFraction(3, 10000).bigDecimalValue());
		assertEquals(new BigDecimal("0"), new BigFraction(1, 3).bigDecimalValue(BigDecimal.ROUND_DOWN));
		assertEquals(new BigDecimal("0.333"), new BigFraction(1, 3).bigDecimalValue(3, BigDecimal.ROUND_DOWN));
	}

	public void testEqualsAndHashCode() {
		BigFraction zero = new BigFraction(0, 1);
		BigFraction nullFraction = null;
		assertTrue(zero.equals(zero));
		assertFalse(zero.equals(nullFraction));
		assertFalse(zero.equals(Double.valueOf(0)));
		BigFraction zero2 = new BigFraction(0, 2);
		assertTrue(zero.equals(zero2));
		assertEquals(zero.hashCode(), zero2.hashCode());
		BigFraction one = new BigFraction(1, 1);
		assertFalse((one.equals(zero) || zero.equals(one)));
		assertTrue(one.equals(BigFraction.ONE));
	}

	public void testGetReducedFraction() {
		BigFraction threeFourths = new BigFraction(3, 4);
		assertTrue(threeFourths.equals(BigFraction.getReducedFraction(6, 8)));
		assertTrue(BigFraction.ZERO.equals(BigFraction.getReducedFraction(0, -1)));
		try {
			BigFraction.getReducedFraction(1, 0);
			fail("expecting ArithmeticException");
		} catch (ArithmeticException ex) {
			// expected
		}
		assertEquals(BigFraction.getReducedFraction(2, Integer.MIN_VALUE).getNumeratorAsInt(), -1);
		assertEquals(BigFraction.getReducedFraction(1, -1).getNumeratorAsInt(), -1);
	}

	public void testPow() {
		assertEquals(new BigFraction(8192, 1594323), new BigFraction(2, 3).pow(13));
		assertEquals(new BigFraction(8192, 1594323), new BigFraction(2, 3).pow(13l));
		assertEquals(new BigFraction(8192, 1594323), new BigFraction(2, 3).pow(BigInteger.valueOf(13l)));
		assertEquals(BigFraction.ONE, new BigFraction(2, 3).pow(0));
		assertEquals(BigFraction.ONE, new BigFraction(2, 3).pow(0l));
		assertEquals(BigFraction.ONE, new BigFraction(2, 3).pow(BigInteger.valueOf(0l)));
		assertEquals(new BigFraction(1594323, 8192), new BigFraction(2, 3).pow(-13));
		assertEquals(new BigFraction(1594323, 8192), new BigFraction(2, 3).pow(-13l));
		assertEquals(new BigFraction(1594323, 8192), new BigFraction(2, 3).pow(BigInteger.valueOf(-13l)));
	}

}
