user/test/com/google/gwt/emultest/java/math/BigDecimalArithmeticTest.java

/*
 * Copyright 2009 Google Inc.
 * 
 * Licensed 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.
 */

/*
 * 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.
 * 
 * INCLUDES MODIFICATIONS BY GOOGLE.
 */
package com.google.gwt.emultest.java.math;

import com.google.gwt.emultest.java.util.EmulTestBase;

import java.math.BigDecimal;
import java.math.BigInteger;
import java.math.MathContext;
import java.math.RoundingMode;

/**
 * Class: java.math.BigDecimal Methods: add, subtract, multiply, divide.
 */
public class BigDecimalArithmeticTest extends EmulTestBase {
  /**
   * Add two numbers of different scales; the first is negative.
   */
  public void testAddDiffScaleNegPos() {
    String a = "1231212478987482988429808779810457634781384756794987";
    int aScale = -15;
    String b = "747233429293018787918347987234564568";
    int bScale = 10;
    String c = "1231212478987482988429808779810457634781459480137916301878791834798.7234564568";
    int cScale = 10;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.add(bNumber);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * Add two numbers of different scales; the first is positive.
   */
  public void testAddDiffScalePosNeg() {
    String a = "1231212478987482988429808779810457634781384756794987";
    int aScale = 15;
    String b = "747233429293018787918347987234564568";
    int bScale = -10;
    String c = "7472334294161400358170962860775454459810457634.781384756794987";
    int cScale = 15;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.add(bNumber);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * Add two numbers of different scales; the first is positive.
   */
  public void testAddDiffScalePosPos() {
    String a = "100";
    int aScale = 15;
    String b = "200";
    int bScale = 14;
    String c = "2.100E-12";
    int cScale = 15;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.add(bNumber);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * Add two zeroes of different scales; the first is negative.
   */
  public void testAddDiffScaleZeroZero() {
    String a = "0";
    int aScale = -15;
    String b = "0";
    int bScale = 10;
    String c = "0E-10";
    int cScale = 10;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.add(bNumber);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * Add two numbers of equal negative scales.
   */
  public void testAddEqualScaleNegNeg() {
    String a = "1231212478987482988429808779810457634781384756794987";
    int aScale = -10;
    String b = "747233429293018787918347987234564568";
    int bScale = -10;
    String c = "1.231212478987483735663238072829245553129371991359555E+61";
    int cScale = -10;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.add(bNumber);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * Add two numbers of equal positive scales.
   */
  public void testAddEqualScalePosPos() {
    String a = "1231212478987482988429808779810457634781384756794987";
    int aScale = 10;
    String b = "747233429293018787918347987234564568";
    int bScale = 10;
    String c = "123121247898748373566323807282924555312937.1991359555";
    int cScale = 10;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.add(bNumber);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * Add two numbers of different scales using MathContext; the first is
   * positive.
   */
  public void testAddMathContextDiffScalePosNeg() {
    String a = "1231212478987482988429808779810457634781384756794987";
    int aScale = 15;
    String b = "747233429293018787918347987234564568";
    int bScale = -10;
    String c = "7.47233429416141E+45";
    int cScale = -31;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    MathContext mc = new MathContext(15, RoundingMode.CEILING);
    BigDecimal result = aNumber.add(bNumber, mc);
    assertEquals("incorrect value", c, c.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * Add two numbers of equal negative scales using MathContext.
   */
  public void testAddMathContextEqualScaleNegNeg() {
    String a = "1231212478987482988429808779810457634781384756794987";
    int aScale = -10;
    String b = "747233429293018787918347987234564568";
    int bScale = -10;
    String c = "1.2312E+61";
    int cScale = -57;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    MathContext mc = new MathContext(5, RoundingMode.FLOOR);
    BigDecimal result = aNumber.add(bNumber, mc);
    assertEquals("incorrect value ", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * Add two numbers of equal positive scales using MathContext.
   */
  public void testAddMathContextEqualScalePosPos() {
    String a = "1231212478987482988429808779810457634781384756794987";
    int aScale = 10;
    String b = "747233429293018787918347987234564568";
    int bScale = 10;
    String c = "1.2313E+41";
    int cScale = -37;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    MathContext mc = new MathContext(5, RoundingMode.UP);
    BigDecimal result = aNumber.add(bNumber, mc);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  public void testAddZero() {
    BigDecimal val = new BigDecimal("123456789");
    BigDecimal sum = val.add(BigDecimal.ZERO);
    assertEquals(val, sum);
    sum = BigDecimal.ZERO.add(val);
    assertEquals(val, sum);
    val = BigDecimal.valueOf(0L, 1);
    sum = val.add(BigDecimal.ZERO);
    assertEquals(val, sum);
  }

  /**
   * Test the the approximate scale is computed correctly.
   * <p>
   * See https://issues.apache.org/jira/browse/HARMONY-6406
   */
  public void testApproxScale() {
    BigDecimal decVal = BigDecimal.TEN.multiply(new BigDecimal("0.1"));
    int compare = decVal.compareTo(new BigDecimal("1.00"));
    assertEquals(0, compare);
  }

  /**
   * divideAndRemainder(BigDecimal).
   */
  public void testDivideAndRemainder1() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = 45;
    String b = "134432345432345748766876876723342238476237823787879183470";
    int bScale = 70;
    String res = "277923185514690367474770683";
    int resScale = 0;
    String rem = "1.3032693871288309587558885943391070087960319452465789990E-15";
    int remScale = 70;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result[] = aNumber.divideAndRemainder(bNumber);
    assertEquals("incorrect quotient value", res, result[0].toString());
    assertEquals("incorrect quotient scale", resScale, result[0].scale());
    assertEquals("incorrect remainder value", rem, result[1].toString());
    assertEquals("incorrect remainder scale", remScale, result[1].scale());
  }

  /**
   * divideAndRemainder(BigDecimal).
   */
  public void testDivideAndRemainder2() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = -45;
    String b = "134432345432345748766876876723342238476237823787879183470";
    int bScale = 70;
    String res = "2779231855146903674747706830969461168692256919247547952"
        + "2608549363170374005512836303475980101168105698072946555" + "6862849";
    int resScale = 0;
    String rem = "3.4935796954060524114470681810486417234751682675102093970E-15";
    int remScale = 70;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result[] = aNumber.divideAndRemainder(bNumber);
    assertEquals("incorrect quotient value", res, result[0].toString());
    assertEquals("incorrect quotient scale", resScale, result[0].scale());
    assertEquals("incorrect remainder value", rem, result[1].toString());
    assertEquals("incorrect remainder scale", remScale, result[1].scale());
  }

  /**
   * divideAndRemainder(BigDecimal, MathContext).
   */
  public void testDivideAndRemainderMathContextDOWN() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = 45;
    String b = "134432345432345748766876876723342238476237823787879183470";
    int bScale = 20;
    int precision = 15;
    RoundingMode rm = RoundingMode.DOWN;
    MathContext mc = new MathContext(precision, rm);
    String res = "0E-25";
    int resScale = 25;
    String rem = "3736186567876.876578956958765675671119238118911893939591735";
    int remScale = 45;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result[] = aNumber.divideAndRemainder(bNumber, mc);
    assertEquals("incorrect quotient value", res, result[0].toString());
    assertEquals("incorrect quotient scale", resScale, result[0].scale());
    assertEquals("incorrect remainder value", rem, result[1].toString());
    assertEquals("incorrect remainder scale", remScale, result[1].scale());
  }

  /**
   * divideAndRemainder(BigDecimal, MathContext).
   */
  public void testDivideAndRemainderMathContextUP() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = 45;
    String b = "134432345432345748766876876723342238476237823787879183470";
    int bScale = 70;
    int precision = 75;
    RoundingMode rm = RoundingMode.UP;
    MathContext mc = new MathContext(precision, rm);
    String res = "277923185514690367474770683";
    int resScale = 0;
    String rem = "1.3032693871288309587558885943391070087960319452465789990E-15";
    int remScale = 70;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result[] = aNumber.divideAndRemainder(bNumber, mc);
    assertEquals("incorrect quotient value", res, result[0].toString());
    assertEquals("incorrect quotient scale", resScale, result[0].scale());
    assertEquals("incorrect remainder value", rem, result[1].toString());
    assertEquals("incorrect remainder scale", remScale, result[1].scale());
  }

  /**
   * Divide to BigDecimal.
   */
  public void testDivideBigDecimal1() {
    String a = "-37361671119238118911893939591735";
    int aScale = 10;
    String b = "74723342238476237823787879183470";
    int bScale = 15;
    String c = "-5E+4";
    int resScale = -4;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide to BigDecimal.
   */
  public void testDivideBigDecimal2() {
    String a = "-37361671119238118911893939591735";
    int aScale = 10;
    String b = "74723342238476237823787879183470";
    int bScale = -15;
    String c = "-5E-26";
    int resScale = 26;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * divide(BigDecimal, MathContext).
   */
  public void testDivideBigDecimalScaleMathContextCEILING() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = 15;
    String b = "748766876876723342238476237823787879183470";
    int bScale = 70;
    int precision = 21;
    RoundingMode rm = RoundingMode.CEILING;
    MathContext mc = new MathContext(precision, rm);
    String c = "4.98978611802562512996E+70";
    int resScale = -50;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, mc);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * divide(BigDecimal, MathContext).
   */
  public void testDivideBigDecimalScaleMathContextDOWN() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = 15;
    String b = "748766876876723342238476237823787879183470";
    int bScale = 70;
    int precision = 21;
    RoundingMode rm = RoundingMode.DOWN;
    MathContext mc = new MathContext(precision, rm);
    String c = "4.98978611802562512995E+70";
    int resScale = -50;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, mc);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * divide(BigDecimal, MathContext).
   */
  public void testDivideBigDecimalScaleMathContextFLOOR() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = 15;
    String b = "748766876876723342238476237823787879183470";
    int bScale = 70;
    int precision = 21;
    RoundingMode rm = RoundingMode.FLOOR;
    MathContext mc = new MathContext(precision, rm);
    String c = "4.98978611802562512995E+70";
    int resScale = -50;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, mc);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * divide(BigDecimal, MathContext).
   */
  public void testDivideBigDecimalScaleMathContextHALF_DOWN() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = 45;
    String b = "134432345432345748766876876723342238476237823787879183470";
    int bScale = 70;
    int precision = 21;
    RoundingMode rm = RoundingMode.HALF_DOWN;
    MathContext mc = new MathContext(precision, rm);
    String c = "2.77923185514690367475E+26";
    int resScale = -6;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, mc);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * divide(BigDecimal, MathContext).
   */
  public void testDivideBigDecimalScaleMathContextHALF_EVEN() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = 45;
    String b = "134432345432345748766876876723342238476237823787879183470";
    int bScale = 70;
    int precision = 21;
    RoundingMode rm = RoundingMode.HALF_EVEN;
    MathContext mc = new MathContext(precision, rm);
    String c = "2.77923185514690367475E+26";
    int resScale = -6;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, mc);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * divide(BigDecimal, MathContext).
   */
  public void testDivideBigDecimalScaleMathContextHALF_UP() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = 45;
    String b = "134432345432345748766876876723342238476237823787879183470";
    int bScale = 70;
    int precision = 21;
    RoundingMode rm = RoundingMode.HALF_UP;
    MathContext mc = new MathContext(precision, rm);
    String c = "2.77923185514690367475E+26";
    int resScale = -6;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, mc);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * divide(BigDecimal, MathContext).
   */
  public void testDivideBigDecimalScaleMathContextUP() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = 15;
    String b = "748766876876723342238476237823787879183470";
    int bScale = 10;
    int precision = 21;
    RoundingMode rm = RoundingMode.UP;
    MathContext mc = new MathContext(precision, rm);
    String c = "49897861180.2562512996";
    int resScale = 10;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, mc);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * divide(BigDecimal, scale, RoundingMode).
   */
  public void testDivideBigDecimalScaleRoundingModeCEILING() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = 100;
    String b = "74723342238476237823787879183470";
    int bScale = 15;
    int newScale = 45;
    RoundingMode rm = RoundingMode.CEILING;
    String c = "1E-45";
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, newScale, rm);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", newScale, result.scale());
  }

  /**
   * divide(BigDecimal, scale, RoundingMode).
   */
  public void testDivideBigDecimalScaleRoundingModeDOWN() {
    String a = "-37361671119238118911893939591735";
    int aScale = 10;
    String b = "74723342238476237823787879183470";
    int bScale = 15;
    int newScale = 31;
    RoundingMode rm = RoundingMode.DOWN;
    String c = "-50000.0000000000000000000000000000000";
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, newScale, rm);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", newScale, result.scale());
  }

  /**
   * divide(BigDecimal, scale, RoundingMode).
   */
  public void testDivideBigDecimalScaleRoundingModeFLOOR() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = 100;
    String b = "74723342238476237823787879183470";
    int bScale = 15;
    int newScale = 45;
    RoundingMode rm = RoundingMode.FLOOR;
    String c = "0E-45";
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, newScale, rm);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", newScale, result.scale());
  }

  /**
   * divide(BigDecimal, scale, RoundingMode).
   */
  public void testDivideBigDecimalScaleRoundingModeHALF_DOWN() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = 5;
    String b = "74723342238476237823787879183470";
    int bScale = 15;
    int newScale = 7;
    RoundingMode rm = RoundingMode.HALF_DOWN;
    String c = "500002603731642864013619132621009722.1803810";
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, newScale, rm);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", newScale, result.scale());
  }

  /**
   * divide(BigDecimal, scale, RoundingMode).
   */
  public void testDivideBigDecimalScaleRoundingModeHALF_EVEN() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = 5;
    String b = "74723342238476237823787879183470";
    int bScale = 15;
    int newScale = 7;
    RoundingMode rm = RoundingMode.HALF_EVEN;
    String c = "500002603731642864013619132621009722.1803810";
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, newScale, rm);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", newScale, result.scale());
  }

  /**
   * divide(BigDecimal, scale, RoundingMode).
   */
  public void testDivideBigDecimalScaleRoundingModeHALF_UP() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = -51;
    String b = "74723342238476237823787879183470";
    int bScale = 45;
    int newScale = 3;
    RoundingMode rm = RoundingMode.HALF_UP;
    String c = "50000260373164286401361913262100972218038099522752460421"
        + "05959924024355721031761947728703598332749334086415670525"
        + "3761096961.670";
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, newScale, rm);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", newScale, result.scale());
  }

  /**
   * divide(BigDecimal, scale, RoundingMode).
   */
  public void testDivideBigDecimalScaleRoundingModeUP() {
    String a = "-37361671119238118911893939591735";
    int aScale = 10;
    String b = "74723342238476237823787879183470";
    int bScale = -15;
    int newScale = 31;
    RoundingMode rm = RoundingMode.UP;
    String c = "-5.00000E-26";
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, newScale, rm);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", newScale, result.scale());
  }

  /**
   * Divide by zero.
   */
  public void testDivideByZero() {
    String a = "1231212478987482988429808779810457634781384756794987";
    int aScale = 15;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = BigDecimal.valueOf(0L);
    try {
      aNumber.divide(bNumber);
      fail("ArithmeticException has not been caught");
    } catch (ArithmeticException e) {
      assertEquals("Improper exception message", "Division by zero",
          e.getMessage());
    }
  }

  /**
   * Divide with invalid rounding mode.
   */
  public void testDivideExceptionInvalidRM() {
    String a = "1231212478987482988429808779810457634781384756794987";
    int aScale = 15;
    String b = "747233429293018787918347987234564568";
    int bScale = 10;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    try {
      aNumber.divide(bNumber, 100);
      fail("IllegalArgumentException has not been caught");
    } catch (IllegalArgumentException e) {
      assertEquals("Improper exception message", "Invalid rounding mode",
          e.getMessage());
    }
  }

  /**
   * Divide with ROUND_UNNECESSARY.
   */
  public void testDivideExceptionRM() {
    String a = "1231212478987482988429808779810457634781384756794987";
    int aScale = 15;
    String b = "747233429293018787918347987234564568";
    int bScale = 10;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    try {
      aNumber.divide(bNumber, BigDecimal.ROUND_UNNECESSARY);
      fail("ArithmeticException has not been caught");
    } catch (ArithmeticException e) {
      assertEquals("Improper exception message", "Rounding necessary",
          e.getMessage());
    }
  }

  /**
   * Divide: local variable exponent is equal to zero.
   */
  public void testDivideExpEqualsZero() {
    String a = "1231212478987482988429808779810457634781384756794987";
    int aScale = -15;
    String b = "747233429293018787918347987234564568";
    int bScale = 10;
    String c = "1.64769459009933764189139568605273529E+40";
    int resScale = -5;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale,
        BigDecimal.ROUND_CEILING);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: local variable exponent is greater than zero.
   */
  public void testDivideExpGreaterZero() {
    String a = "1231212478987482988429808779810457634781384756794987";
    int aScale = -15;
    String b = "747233429293018787918347987234564568";
    int bScale = 20;
    String c = "1.647694590099337641891395686052735285121058381E+50";
    int resScale = -5;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale,
        BigDecimal.ROUND_CEILING);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: local variable exponent is less than zero.
   */
  public void testDivideExpLessZero() {
    String a = "1231212478987482988429808779810457634781384756794987";
    int aScale = 15;
    String b = "747233429293018787918347987234564568";
    int bScale = 10;
    String c = "1.64770E+10";
    int resScale = -5;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale,
        BigDecimal.ROUND_CEILING);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * BigDecimal.divide with a scale that's too large.
   * 
   * Regression test for HARMONY-6271
   */
  public void testDivideLargeScale() {
    BigDecimal arg1 = new BigDecimal("320.0E+2147483647");
    BigDecimal arg2 = new BigDecimal("6E-2147483647");
    try {
      arg1.divide(arg2, Integer.MAX_VALUE, RoundingMode.CEILING);
      fail("Expected ArithmeticException when dividing with a scale that's too large");
    } catch (ArithmeticException e) {
      // expected behaviour
    }
  }

  /**
   * Divide: remainder is zero.
   */
  public void testDivideRemainderIsZero() {
    String a = "8311389578904553209874735431110";
    int aScale = -15;
    String b = "237468273682987234567849583746";
    int bScale = 20;
    String c = "3.5000000000000000000000000000000E+36";
    int resScale = -5;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale,
        BigDecimal.ROUND_CEILING);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: rounding mode is ROUND_CEILING, result is negative.
   */
  public void testDivideRoundCeilingNeg() {
    String a = "-92948782094488478231212478987482988429808779810457634781384756794987";
    int aScale = -24;
    String b = "7472334223847623782375469293018787918347987234564568";
    int bScale = 13;
    String c = "-1.24390557635720517122423359799283E+53";
    int resScale = -21;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale,
        BigDecimal.ROUND_CEILING);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: rounding mode is ROUND_CEILING, result is positive.
   */
  public void testDivideRoundCeilingPos() {
    String a = "92948782094488478231212478987482988429808779810457634781384756794987";
    int aScale = -24;
    String b = "7472334223847623782375469293018787918347987234564568";
    int bScale = 13;
    String c = "1.24390557635720517122423359799284E+53";
    int resScale = -21;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale,
        BigDecimal.ROUND_CEILING);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: rounding mode is ROUND_DOWN, result is negative.
   */
  public void testDivideRoundDownNeg() {
    String a = "-92948782094488478231212478987482988429808779810457634781384756794987";
    int aScale = -24;
    String b = "7472334223847623782375469293018787918347987234564568";
    int bScale = 13;
    String c = "-1.24390557635720517122423359799283E+53";
    int resScale = -21;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale, BigDecimal.ROUND_DOWN);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: rounding mode is ROUND_DOWN, result is positive.
   */
  public void testDivideRoundDownPos() {
    String a = "92948782094488478231212478987482988429808779810457634781384756794987";
    int aScale = -24;
    String b = "7472334223847623782375469293018787918347987234564568";
    int bScale = 13;
    String c = "1.24390557635720517122423359799283E+53";
    int resScale = -21;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale, BigDecimal.ROUND_DOWN);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: rounding mode is ROUND_FLOOR, result is negative.
   */
  public void testDivideRoundFloorNeg() {
    String a = "-92948782094488478231212478987482988429808779810457634781384756794987";
    int aScale = -24;
    String b = "7472334223847623782375469293018787918347987234564568";
    int bScale = 13;
    String c = "-1.24390557635720517122423359799284E+53";
    int resScale = -21;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale,
        BigDecimal.ROUND_FLOOR);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: rounding mode is ROUND_FLOOR, result is positive.
   */
  public void testDivideRoundFloorPos() {
    String a = "92948782094488478231212478987482988429808779810457634781384756794987";
    int aScale = -24;
    String b = "7472334223847623782375469293018787918347987234564568";
    int bScale = 13;
    String c = "1.24390557635720517122423359799283E+53";
    int resScale = -21;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale,
        BigDecimal.ROUND_FLOOR);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: rounding mode is ROUND_HALF_DOWN, result is negative;
   * distance = -1.
   */
  public void testDivideRoundHalfDownNeg() {
    String a = "-92948782094488478231212478987482988429808779810457634781384756794987";
    int aScale = -24;
    String b = "7472334223847623782375469293018787918347987234564568";
    int bScale = 13;
    String c = "-1.24390557635720517122423359799284E+53";
    int resScale = -21;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale,
        BigDecimal.ROUND_HALF_DOWN);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: rounding mode is ROUND_HALF_DOWN, result is negative; distance = 1.
   */
  public void testDivideRoundHalfDownNeg1() {
    String a = "-92948782094488478231212478987482988798104576347813847567949855464535634534563456";
    int aScale = -24;
    String b = "74723342238476237823754692930187879183479";
    int bScale = 13;
    String c = "-1.2439055763572051712242335979928354832010167729111113605E+76";
    int resScale = -21;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale,
        BigDecimal.ROUND_HALF_DOWN);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: rounding mode is ROUND_HALF_UP, result is negative; equidistant.
   */
  public void testDivideRoundHalfDownNeg2() {
    String a = "-37361671119238118911893939591735";
    int aScale = 10;
    String b = "74723342238476237823787879183470";
    int bScale = 15;
    String c = "0E+5";
    int resScale = -5;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale,
        BigDecimal.ROUND_HALF_DOWN);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: rounding mode is ROUND_HALF_DOWN, result is positive;
   * distance = -1.
   */
  public void testDivideRoundHalfDownPos() {
    String a = "92948782094488478231212478987482988429808779810457634781384756794987";
    int aScale = -24;
    String b = "7472334223847623782375469293018787918347987234564568";
    int bScale = 13;
    String c = "1.24390557635720517122423359799284E+53";
    int resScale = -21;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale,
        BigDecimal.ROUND_HALF_DOWN);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: rounding mode is ROUND_HALF_DOWN, result is positive; distance = 1.
   */
  public void testDivideRoundHalfDownPos1() {
    String a = "92948782094488478231212478987482988798104576347813847567949855464535634534563456";
    int aScale = -24;
    String b = "74723342238476237823754692930187879183479";
    int bScale = 13;
    String c = "1.2439055763572051712242335979928354832010167729111113605E+76";
    int resScale = -21;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale,
        BigDecimal.ROUND_HALF_DOWN);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: rounding mode is ROUND_HALF_EVEN, result is negative;
   * distance = -1.
   */
  public void testDivideRoundHalfEvenNeg() {
    String a = "-92948782094488478231212478987482988429808779810457634781384756794987";
    int aScale = -24;
    String b = "7472334223847623782375469293018787918347987234564568";
    int bScale = 13;
    String c = "-1.24390557635720517122423359799284E+53";
    int resScale = -21;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale,
        BigDecimal.ROUND_HALF_EVEN);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: rounding mode is ROUND_HALF_EVEN, result is negative; distance = 1.
   */
  public void testDivideRoundHalfEvenNeg1() {
    String a = "-92948782094488478231212478987482988798104576347813847567949855464535634534563456";
    int aScale = -24;
    String b = "74723342238476237823754692930187879183479";
    int bScale = 13;
    String c = "-1.2439055763572051712242335979928354832010167729111113605E+76";
    int resScale = -21;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale,
        BigDecimal.ROUND_HALF_EVEN);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: rounding mode is ROUND_HALF_EVEN, result is negative; equidistant.
   */
  public void testDivideRoundHalfEvenNeg2() {
    String a = "-37361671119238118911893939591735";
    int aScale = 10;
    String b = "74723342238476237823787879183470";
    int bScale = 15;
    String c = "0E+5";
    int resScale = -5;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale,
        BigDecimal.ROUND_HALF_EVEN);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: rounding mode is ROUND_HALF_EVEN, result is positive; distance = -1.
   */
  public void testDivideRoundHalfEvenPos() {
    String a = "92948782094488478231212478987482988429808779810457634781384756794987";
    int aScale = -24;
    String b = "7472334223847623782375469293018787918347987234564568";
    int bScale = 13;
    String c = "1.24390557635720517122423359799284E+53";
    int resScale = -21;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale,
        BigDecimal.ROUND_HALF_EVEN);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: rounding mode is ROUND_HALF_EVEN, result is positive; distance = 1.
   */
  public void testDivideRoundHalfEvenPos1() {
    String a = "92948782094488478231212478987482988798104576347813847567949855464535634534563456";
    int aScale = -24;
    String b = "74723342238476237823754692930187879183479";
    int bScale = 13;
    String c = "1.2439055763572051712242335979928354832010167729111113605E+76";
    int resScale = -21;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale,
        BigDecimal.ROUND_HALF_EVEN);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: rounding mode is ROUND_HALF_UP, result is negative; distance = -1.
   */
  public void testDivideRoundHalfUpNeg() {
    String a = "-92948782094488478231212478987482988429808779810457634781384756794987";
    int aScale = -24;
    String b = "7472334223847623782375469293018787918347987234564568";
    int bScale = 13;
    String c = "-1.24390557635720517122423359799284E+53";
    int resScale = -21;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale,
        BigDecimal.ROUND_HALF_UP);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: rounding mode is ROUND_HALF_UP, result is negative; distance = 1.
   */
  public void testDivideRoundHalfUpNeg1() {
    String a = "-92948782094488478231212478987482988798104576347813847567949855464535634534563456";
    int aScale = -24;
    String b = "74723342238476237823754692930187879183479";
    int bScale = 13;
    String c = "-1.2439055763572051712242335979928354832010167729111113605E+76";
    int resScale = -21;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale,
        BigDecimal.ROUND_HALF_UP);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: rounding mode is ROUND_HALF_UP, result is negative; equidistant.
   */
  public void testDivideRoundHalfUpNeg2() {
    String a = "-37361671119238118911893939591735";
    int aScale = 10;
    String b = "74723342238476237823787879183470";
    int bScale = 15;
    String c = "-1E+5";
    int resScale = -5;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale,
        BigDecimal.ROUND_HALF_UP);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: rounding mode is ROUND_HALF_UP, result is positive; distance = -1.
   */
  public void testDivideRoundHalfUpPos() {
    String a = "92948782094488478231212478987482988429808779810457634781384756794987";
    int aScale = -24;
    String b = "7472334223847623782375469293018787918347987234564568";
    int bScale = 13;
    String c = "1.24390557635720517122423359799284E+53";
    int resScale = -21;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale,
        BigDecimal.ROUND_HALF_UP);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: rounding mode is ROUND_HALF_UP, result is positive; distance = 1.
   */
  public void testDivideRoundHalfUpPos1() {
    String a = "92948782094488478231212478987482988798104576347813847567949855464535634534563456";
    int aScale = -24;
    String b = "74723342238476237823754692930187879183479";
    int bScale = 13;
    String c = "1.2439055763572051712242335979928354832010167729111113605E+76";
    int resScale = -21;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale,
        BigDecimal.ROUND_HALF_UP);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: rounding mode is ROUND_UP, result is negative.
   */
  public void testDivideRoundUpNeg() {
    String a = "-92948782094488478231212478987482988429808779810457634781384756794987";
    int aScale = -24;
    String b = "7472334223847623782375469293018787918347987234564568";
    int bScale = 13;
    String c = "-1.24390557635720517122423359799284E+53";
    int resScale = -21;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale, BigDecimal.ROUND_UP);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * Divide: rounding mode is ROUND_UP, result is positive.
   */
  public void testDivideRoundUpPos() {
    String a = "92948782094488478231212478987482988429808779810457634781384756794987";
    int aScale = -24;
    String b = "7472334223847623782375469293018787918347987234564568";
    int bScale = 13;
    String c = "1.24390557635720517122423359799284E+53";
    int resScale = -21;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divide(bNumber, resScale, BigDecimal.ROUND_UP);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  public void testDivideSmall() {
    BigDecimal a = BigDecimal.valueOf(6);
    BigDecimal b = BigDecimal.valueOf(2);
    BigDecimal quotient = a.divide(b);
    assertEquals("3", quotient.toString());
    quotient = a.divideToIntegralValue(b);
    assertEquals("3", quotient.toString());
    quotient = a.divide(BigDecimal.ONE);
    assertEquals("6", quotient.toString());
    quotient = a.divide(BigDecimal.ONE.negate());
    assertEquals("-6", quotient.toString());
  }
  
  /**
   * divideToIntegralValue(BigDecimal).
   */
  public void testDivideToIntegralValue() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = 45;
    String b = "134432345432345748766876876723342238476237823787879183470";
    int bScale = 70;
    String c = "277923185514690367474770683";
    int resScale = 0;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divideToIntegralValue(bNumber);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * divideToIntegralValue(BigDecimal, MathContext).
   */
  public void testDivideToIntegralValueMathContextDOWN() {
    String a = "3736186567876876578956958769675785435673453453653543654354365435675671119238118911893939591735";
    int aScale = 45;
    String b = "134432345432345748766876876723342238476237823787879183470";
    int bScale = 70;
    int precision = 75;
    RoundingMode rm = RoundingMode.DOWN;
    MathContext mc = new MathContext(precision, rm);
    String c = "2.7792318551469036747477068339450205874992634417590178670822889E+62";
    int resScale = -1;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divideToIntegralValue(bNumber, mc);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * divideToIntegralValue(BigDecimal, MathContext).
   */
  public void testDivideToIntegralValueMathContextUP() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = 45;
    String b = "134432345432345748766876876723342238476237823787879183470";
    int bScale = 70;
    int precision = 32;
    RoundingMode rm = RoundingMode.UP;
    MathContext mc = new MathContext(precision, rm);
    String c = "277923185514690367474770683";
    int resScale = 0;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.divideToIntegralValue(bNumber, mc);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  public void testDivideZero() {
    BigDecimal quotient = BigDecimal.ZERO.divide(BigDecimal.ONE);
    assertEquals(BigDecimal.ZERO, quotient);
    quotient = BigDecimal.ZERO.negate().divide(BigDecimal.ONE);
    assertEquals(BigDecimal.ZERO, quotient);
    try {
      quotient = BigDecimal.ZERO.divide(BigDecimal.ZERO);
      fail("Expected ArithmeticException, divide by zero");
    } catch (ArithmeticException expected) {
    }
    assertEquals(BigDecimal.ZERO, quotient);
    try {
      quotient = BigDecimal.ONE.divide(BigDecimal.ZERO);
      fail("Expected ArithmeticException, divide by zero");
    } catch (ArithmeticException expected) {      
    }
    try {
      quotient = BigDecimal.ONE.divideToIntegralValue(BigDecimal.ZERO);
      fail("Expected ArithmeticException, divide by zero");
    } catch (ArithmeticException expected) {      
    }
  }

  /**
   * Multiply two numbers of different scales.
   */
  public void testMultiplyDiffScaleNegPos() {
    String a = "1231212478987482988429808779810457634781384756794987";
    int aScale = -15;
    String b = "747233429293018787918347987234564568";
    int bScale = 10;
    String c = "9.20003122862175749786430095741145455670101391569026662845893091880727173060570190220616E+91";
    int cScale = -5;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.multiply(bNumber);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * Multiply two numbers of different scales.
   */
  public void testMultiplyDiffScalePosNeg() {
    String a = "1231212478987482988429808779810457634781384756794987";
    int aScale = 10;
    String b = "747233429293018787918347987234564568";
    int bScale = -10;
    String c = "920003122862175749786430095741145455670101391569026662845893091880727173060570190220616";
    int cScale = 0;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.multiply(bNumber);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * Multiply two numbers of negative scales.
   */
  public void testMultiplyEqualScaleNegNeg() {
    String a = "1231212478987482988429808779810457634781384756794987";
    int aScale = -15;
    String b = "747233429293018787918347987234564568";
    int bScale = -10;
    String c = "9.20003122862175749786430095741145455670101391569026662845893091880727173060570190220616E+111";
    int cScale = -25;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.multiply(bNumber);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * Multiply two numbers of different scales using MathContext.
   */
  public void testMultiplyMathContextDiffScaleNegPos() {
    String a = "488757458676796558668876576576579097029810457634781384756794987";
    int aScale = -63;
    String b = "747233429293018787918347987234564568";
    int bScale = 63;
    String c = "3.6521591193960361339707130098174381429788164316E+98";
    int cScale = -52;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    MathContext mc = new MathContext(47, RoundingMode.HALF_UP);
    BigDecimal result = aNumber.multiply(bNumber, mc);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * Multiply two numbers of different scales using MathContext.
   */
  public void testMultiplyMathContextDiffScalePosNeg() {
    String a = "987667796597975765768768767866756808779810457634781384756794987";
    int aScale = 100;
    String b = "747233429293018787918347987234564568";
    int bScale = -70;
    String c = "7.3801839465418518653942222612429081498248509257207477E+68";
    int cScale = -16;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    MathContext mc = new MathContext(53, RoundingMode.HALF_UP);
    BigDecimal result = aNumber.multiply(bNumber, mc);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * Multiply two numbers of positive scales using MathContext.
   */
  public void testMultiplyMathContextScalePosPos() {
    String a = "97665696756578755423325476545428779810457634781384756794987";
    int aScale = -25;
    String b = "87656965586786097685674786576598865";
    int bScale = 10;
    String c = "8.561078619600910561431314228543672720908E+108";
    int cScale = -69;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    MathContext mc = new MathContext(40, RoundingMode.HALF_DOWN);
    BigDecimal result = aNumber.multiply(bNumber, mc);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * Multiply two numbers of positive scales.
   */
  public void testMultiplyScalePosPos() {
    String a = "1231212478987482988429808779810457634781384756794987";
    int aScale = 15;
    String b = "747233429293018787918347987234564568";
    int bScale = 10;
    String c = "92000312286217574978643009574114545567010139156902666284589309.1880727173060570190220616";
    int cScale = 25;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.multiply(bNumber);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * pow(int).
   */
  public void testPow() {
    String a = "123121247898748298842980";
    int aScale = 10;
    int exp = 10;
    String c = "8004424019039195734129783677098845174704975003788210729597"
        + "4875206425711159855030832837132149513512555214958035390490"
        + "798520842025826.594316163502809818340013610490541783276343"
        + "6514490899700151256484355936102754469438371850240000000000";
    int cScale = 100;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal result = aNumber.pow(exp);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * pow(0).
   */
  public void testPow0() {
    String a = "123121247898748298842980";
    int aScale = 10;
    int exp = 0;
    String c = "1";
    int cScale = 0;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal result = aNumber.pow(exp);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * pow(int, MathContext).
   */
  public void testPowMathContext() {
    String a = "123121247898748298842980";
    int aScale = 10;
    int exp = 10;
    String c = "8.0044E+130";
    int cScale = -126;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    MathContext mc = new MathContext(5, RoundingMode.HALF_UP);
    BigDecimal result = aNumber.pow(exp, mc);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * remainder(BigDecimal).
   */
  public void testRemainder1() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = 45;
    String b = "134432345432345748766876876723342238476237823787879183470";
    int bScale = 10;
    String res = "3736186567876.876578956958765675671119238118911893939591735";
    int resScale = 45;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.remainder(bNumber);
    assertEquals("incorrect quotient value", res, result.toString());
    assertEquals("incorrect quotient scale", resScale, result.scale());
  }

  /**
   * remainder(BigDecimal).
   */
  public void testRemainder2() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = -45;
    String b = "134432345432345748766876876723342238476237823787879183470";
    int bScale = 10;
    String res = "1149310942946292909508821656680979993738625937.2065885780";
    int resScale = 10;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.remainder(bNumber);
    assertEquals("incorrect quotient value", res, result.toString());
    assertEquals("incorrect quotient scale", resScale, result.scale());
  }

  /**
   * remainder(BigDecimal, MathContext).
   */
  public void testRemainderMathContextHALF_DOWN() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = -45;
    String b = "134432345432345748766876876723342238476237823787879183470";
    int bScale = 10;
    int precision = 75;
    RoundingMode rm = RoundingMode.HALF_DOWN;
    MathContext mc = new MathContext(precision, rm);
    String res = "1149310942946292909508821656680979993738625937.2065885780";
    int resScale = 10;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.remainder(bNumber, mc);
    assertEquals("incorrect quotient value", res, result.toString());
    assertEquals("incorrect quotient scale", resScale, result.scale());
  }

  /**
   * remainder(BigDecimal, MathContext).
   */
  public void testRemainderMathContextHALF_UP() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = 45;
    String b = "134432345432345748766876876723342238476237823787879183470";
    int bScale = 10;
    int precision = 15;
    RoundingMode rm = RoundingMode.HALF_UP;
    MathContext mc = new MathContext(precision, rm);
    String res = "3736186567876.876578956958765675671119238118911893939591735";
    int resScale = 45;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.remainder(bNumber, mc);
    assertEquals("incorrect quotient value", res, result.toString());
    assertEquals("incorrect quotient scale", resScale, result.scale());
  }

  /**
   * Test gwt-java-math issues 4 and 5.
   */
  public void testRoundMathContextCEILING() {
    BigDecimal val = BigDecimal.valueOf(1.5);
    BigDecimal result = val.round(new MathContext(1, RoundingMode.CEILING));
    assertEquals("2", result.toString());
    assertEquals(0, result.scale());
    assertEquals(1, result.precision());
    
    // 1 digit left of dp, 14 scale + 1
    val = BigDecimal.valueOf(5.43445663479765);
    val.setScale(val.scale() + 1, RoundingMode.CEILING).round(new
        MathContext(1, RoundingMode.CEILING));

     // 1 digit left of dp, 13 scale + 2
    val = BigDecimal.valueOf(5.4344566347976);
    val.setScale(val.scale() + 2, RoundingMode.CEILING).round(new
        MathContext(1, RoundingMode.CEILING));
    
    // 2 digits left of dp, 13 scale + 2
    BigDecimal test = BigDecimal.valueOf(12.4344566347976);
    test.setScale(test.scale() + 1, RoundingMode.CEILING).round(new
        MathContext(1, RoundingMode.CEILING));
  }

  /**
   * round(BigDecimal, MathContext).
   */
  public void testRoundMathContextHALF_DOWN() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = -45;
    int precision = 75;
    RoundingMode rm = RoundingMode.HALF_DOWN;
    MathContext mc = new MathContext(precision, rm);
    String res = "3.736186567876876578956958765675671119238118911893939591735E+102";
    int resScale = -45;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal result = aNumber.round(mc);
    assertEquals("incorrect quotient value", res, result.toString());
    assertEquals("incorrect quotient scale", resScale, result.scale());
  }

  /**
   * round(BigDecimal, MathContext).
   */
  public void testRoundMathContextHALF_UP() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = 45;
    int precision = 15;
    RoundingMode rm = RoundingMode.HALF_UP;
    MathContext mc = new MathContext(precision, rm);
    String res = "3736186567876.88";
    int resScale = 2;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal result = aNumber.round(mc);
    assertEquals("incorrect quotient value", res, result.toString());
    assertEquals("incorrect quotient scale", resScale, result.scale());
  }

  /**
   * round(BigDecimal, MathContext) when precision = 0.
   */
  public void testRoundMathContextPrecision0() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = 45;
    int precision = 0;
    RoundingMode rm = RoundingMode.HALF_UP;
    MathContext mc = new MathContext(precision, rm);
    String res = "3736186567876.876578956958765675671119238118911893939591735";
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal result = aNumber.round(mc);
    assertEquals("incorrect quotient value", res, result.toString());
    assertEquals("incorrect quotient scale", aScale, result.scale());
  }

  /**
   * Subtract two numbers of different scales; the first is negative.
   */
  public void testSubtractDiffScaleNegPos() {
    String a = "1231212478987482988429808779810457634781384756794987";
    int aScale = -15;
    String b = "747233429293018787918347987234564568";
    int bScale = 10;
    String c = "1231212478987482988429808779810457634781310033452057698121208165201.2765435432";
    int cScale = 10;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.subtract(bNumber);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * Subtract two numbers of different scales; the first is positive.
   */
  public void testSubtractDiffScalePosNeg() {
    String a = "1231212478987482988429808779810457634781384756794987";
    int aScale = 15;
    String b = "747233429293018787918347987234564568";
    int bScale = -10;
    String c = "-7472334291698975400195996883915836900189542365.218615243205013";
    int cScale = 15;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.subtract(bNumber);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * Subtract two numbers of equal negative scales.
   */
  public void testSubtractEqualScaleNegNeg() {
    String a = "1231212478987482988429808779810457634781384756794987";
    int aScale = -10;
    String b = "747233429293018787918347987234564568";
    int bScale = -10;
    String c = "1.231212478987482241196379486791669716433397522230419E+61";
    int cScale = -10;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.subtract(bNumber);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * Subtract two numbers of equal positive scales.
   */
  public void testSubtractEqualScalePosPos() {
    String a = "1231212478987482988429808779810457634781384756794987";
    int aScale = 10;
    String b = "747233429293018787918347987234564568";
    int bScale = 10;
    String c = "123121247898748224119637948679166971643339.7522230419";
    int cScale = 10;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    BigDecimal result = aNumber.subtract(bNumber);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * Subtract two numbers of different scales using MathContext; the first is
   * negative.
   */
  public void testSubtractMathContextDiffScaleNegPos() {
    String a = "986798656676789766678767876078779810457634781384756794987";
    int aScale = -15;
    String b = "747233429293018787918347987234564568";
    int bScale = 40;
    String c = "9.867986566767897666787678760787798104576347813847567949870000000000000E+71";
    int cScale = -2;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    MathContext mc = new MathContext(70, RoundingMode.HALF_DOWN);
    BigDecimal result = aNumber.subtract(bNumber, mc);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * Subtract two numbers of different scales using MathContext; the first is
   * positive.
   */
  public void testSubtractMathContextDiffScalePosNeg() {
    String a = "1231212478987482988429808779810457634781384756794987";
    int aScale = 15;
    String b = "747233429293018787918347987234564568";
    int bScale = -10;
    String c = "-7.4723342916989754E+45";
    int cScale = -29;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    MathContext mc = new MathContext(17, RoundingMode.DOWN);
    BigDecimal result = aNumber.subtract(bNumber, mc);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * Subtract two numbers of equal positive scales using MathContext.
   */
  public void testSubtractMathContextEqualScalePosPos() {
    String a = "1231212478987482988429808779810457634781384756794987";
    int aScale = 10;
    String b = "747233429293018787918347987234564568";
    int bScale = 10;
    String c = "1.23121247898749E+41";
    int cScale = -27;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal bNumber = new BigDecimal(new BigInteger(b), bScale);
    MathContext mc = new MathContext(15, RoundingMode.CEILING);
    BigDecimal result = aNumber.subtract(bNumber, mc);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }

  /**
   * ulp() of a negative BigDecimal.
   */
  public void testUlpNeg() {
    String a = "-3736186567876876578956958765675671119238118911893939591735";
    int aScale = 45;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal result = aNumber.ulp();
    String res = "1E-45";
    int resScale = 45;
    assertEquals("incorrect value", res, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * ulp() of a positive BigDecimal.
   */
  public void testUlpPos() {
    String a = "3736186567876876578956958765675671119238118911893939591735";
    int aScale = -45;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal result = aNumber.ulp();
    String res = "1E+45";
    int resScale = -45;
    assertEquals("incorrect value", res, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * ulp() of a negative BigDecimal.
   */
  public void testUlpZero() {
    String a = "0";
    int aScale = 2;
    BigDecimal aNumber = new BigDecimal(new BigInteger(a), aScale);
    BigDecimal result = aNumber.ulp();
    String res = "0.01";
    int resScale = 2;
    assertEquals("incorrect value", res, result.toString());
    assertEquals("incorrect scale", resScale, result.scale());
  }

  /**
   * ZERO.pow(0).
   */
  public void testZeroPow0() {
    String c = "1";
    int cScale = 0;
    BigDecimal result = BigDecimal.ZERO.pow(0);
    assertEquals("incorrect value", c, result.toString());
    assertEquals("incorrect scale", cScale, result.scale());
  }
}