Java tutorial
/** * 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 --------------------------------- */ package com.github.jessemull.microflexbigdecimal.stat; /* ------------------------------ Dependencies ------------------------------ */ import static org.junit.Assert.*; import java.io.OutputStream; import java.io.PrintStream; import java.math.BigDecimal; import java.math.MathContext; import java.math.RoundingMode; import java.util.ArrayList; import java.util.Arrays; import java.util.List; import java.util.TreeMap; import java.util.Map; import java.util.Random; import org.apache.commons.lang3.ArrayUtils; import org.apache.commons.math3.stat.descriptive.DescriptiveStatistics; import org.junit.AfterClass; import org.junit.BeforeClass; import org.junit.FixMethodOrder; import org.junit.Test; import org.junit.runners.MethodSorters; import com.github.jessemull.microflexbigdecimal.plate.Plate; import com.github.jessemull.microflexbigdecimal.plate.Well; import com.github.jessemull.microflexbigdecimal.plate.WellSet; import com.github.jessemull.microflexbigdecimal.stat.Mean; import com.github.jessemull.microflexbigdecimal.util.RandomUtil; /** * This class tests the methods in the mean big decimal class. * * @author Jesse L. Mull * @update Updated Oct 18, 2016 * @address http://www.jessemull.com * @email hello@jessemull.com */ @FixMethodOrder(MethodSorters.NAME_ASCENDING) public class MeanTest { /* ---------------------------- Local Fields -----------------------------*/ /* Minimum and maximum values for random well and lists */ private static BigDecimal minValue = new BigDecimal(0); // Minimum big decimal value for wells private static BigDecimal maxValue = new BigDecimal(10); // Maximum big decimal value for wells private static Random random = new Random(); // Generates random integers private static MathContext mc = new MathContext(10, RoundingMode.HALF_DOWN); // Math context for input values /* The addition operation */ private static Mean mean = new Mean(); /* Random objects and numbers for testing */ private static int rows = 5; private static int columns = 4; private static int length = 5; private static int lengthIndices = 10; private static int plateNumber = 10; private static int plateNumberIndices = 5; private static Plate[] array = new Plate[plateNumber]; private static Plate[] arrayIndices = new Plate[plateNumberIndices]; /* Value of false redirects System.err */ private static boolean error = true; private static PrintStream originalOut = System.out; /** * Generates random objects and numbers for testing. */ @BeforeClass public static void setUp() { if (error) { System.setErr(new PrintStream(new OutputStream() { public void write(int x) { } })); } for (int j = 0; j < array.length; j++) { Plate plate = RandomUtil.randomPlateBigDecimal(rows, columns, minValue, maxValue, length, "Plate1-" + j); array[j] = plate; } for (int j = 0; j < arrayIndices.length; j++) { Plate plateIndices = RandomUtil.randomPlateBigDecimal(rows, columns, minValue, maxValue, lengthIndices, "Plate1-" + j); arrayIndices[j] = plateIndices; } } /** * Toggles system error. */ @AfterClass public static void restoreErrorOut() { System.setErr(originalOut); } /* ---------------------------- Constructors -----------------------------*/ /** * Tests the default constructor. */ @Test public void testConstructor() { Mean test = new Mean(); assertNotNull(test); } /* ---------------- Well statistics for all plate wells ----------------- */ /** * Tests the plate statistics method. */ @Test public void testPlate() { for (Plate plate : array) { Map<Well, BigDecimal> resultMap = new TreeMap<Well, BigDecimal>(); Map<Well, BigDecimal> returnedMap = mean.plate(plate, mc); for (Well well : plate) { double[] input = new double[well.size()]; int index = 0; for (BigDecimal bd : well) { input[index++] = bd.doubleValue(); } DescriptiveStatistics stat = new DescriptiveStatistics(input); double resultDouble = stat.getMean(); BigDecimal result = new BigDecimal(resultDouble); resultMap.put(well, result); } for (Well well : plate) { BigDecimal result = resultMap.get(well); BigDecimal returned = returnedMap.get(well); BigDecimal[] corrected = correctRoundingErrors(result, returned); assertEquals(corrected[0], corrected[1]); } } } /** * Tests the plate statistics method using the values between the indices. */ @Test public void testPlateIndices() { for (Plate plate : arrayIndices) { int size = arrayIndices[0].first().size(); int begin = random.nextInt(size - 5); int end = (begin + 4) + random.nextInt(size - (begin + 4) + 1); Map<Well, BigDecimal> resultMap = new TreeMap<Well, BigDecimal>(); Map<Well, BigDecimal> returnedMap = mean.plate(plate, begin, end - begin, mc); for (Well well : plate) { double[] input = new double[well.size()]; int index = 0; for (BigDecimal bd : well) { input[index++] = bd.doubleValue(); } DescriptiveStatistics stat = new DescriptiveStatistics(ArrayUtils.subarray(input, begin, end)); double resultDouble = stat.getMean(); BigDecimal result = new BigDecimal(resultDouble); resultMap.put(well, result); } for (Well well : plate) { BigDecimal result = resultMap.get(well); BigDecimal returned = returnedMap.get(well); BigDecimal[] corrected = correctRoundingErrors(result, returned); assertEquals(corrected[0], corrected[1]); } } } /* --------------------- Aggregated plate statistics ------------------- */ /** * Tests the aggregated plate statistics method. */ @Test public void testAggregatedPlate() { for (Plate plate : array) { List<BigDecimal> resultList = new ArrayList<BigDecimal>(); BigDecimal aggregatedReturned = mean.platesAggregated(plate, mc); for (Well well : plate) { resultList.addAll(well.data()); } double[] inputAggregated = new double[resultList.size()]; for (int i = 0; i < resultList.size(); i++) { inputAggregated[i] = resultList.get(i).doubleValue(); } DescriptiveStatistics statAggregated = new DescriptiveStatistics(inputAggregated); double resultAggregatedDouble = statAggregated.getMean(); BigDecimal aggregatedResult = new BigDecimal(resultAggregatedDouble); BigDecimal[] corrected = correctRoundingErrors(aggregatedResult, aggregatedReturned); assertEquals(corrected[0], corrected[1]); } } /** * Tests the aggregated plate statistics method using a collection. */ @Test public void testAggregatedPlateCollection() { List<Plate> collection = Arrays.asList(array); Map<Plate, BigDecimal> aggregatedReturnedMap = mean.platesAggregated(collection, mc); Map<Plate, BigDecimal> aggregatedResultMap = new TreeMap<Plate, BigDecimal>(); for (Plate plate : collection) { List<BigDecimal> resultList = new ArrayList<BigDecimal>(); for (Well well : plate) { resultList.addAll(well.data()); } double[] inputAggregated = new double[resultList.size()]; for (int i = 0; i < resultList.size(); i++) { inputAggregated[i] = resultList.get(i).doubleValue(); } DescriptiveStatistics statAggregated = new DescriptiveStatistics(inputAggregated); double resultAggregatedDouble = statAggregated.getMean(); BigDecimal aggregatedResult = new BigDecimal(resultAggregatedDouble); aggregatedResultMap.put(plate, aggregatedResult); } for (Plate plate : collection) { BigDecimal result = aggregatedResultMap.get(plate); BigDecimal returned = aggregatedReturnedMap.get(plate); BigDecimal[] corrected = correctRoundingErrors(result, returned); assertEquals(corrected[0], corrected[1]); } } /** * Tests the aggregated plate statistics method using an array. */ @Test public void testAggregatedPlateArray() { Map<Plate, BigDecimal> aggregatedReturnedMap = mean.platesAggregated(array, mc); Map<Plate, BigDecimal> aggregatedResultMap = new TreeMap<Plate, BigDecimal>(); for (Plate plate : array) { List<BigDecimal> resultList = new ArrayList<BigDecimal>(); for (Well well : plate) { resultList.addAll(well.data()); } double[] inputAggregated = new double[resultList.size()]; for (int i = 0; i < resultList.size(); i++) { inputAggregated[i] = resultList.get(i).doubleValue(); } DescriptiveStatistics statAggregated = new DescriptiveStatistics(inputAggregated); double resultAggregatedDouble = statAggregated.getMean(); BigDecimal aggregatedResult = new BigDecimal(resultAggregatedDouble); aggregatedResultMap.put(plate, aggregatedResult); } for (Plate plate : array) { BigDecimal result = aggregatedResultMap.get(plate); BigDecimal returned = aggregatedReturnedMap.get(plate); BigDecimal[] corrected = correctRoundingErrors(result, returned); assertEquals(corrected[0], corrected[1]); } } /** * Tests the aggregated plate statistics method using the values between the indices. */ @Test public void testAggregatedPlateIndices() { for (Plate plate : arrayIndices) { int size = arrayIndices[0].first().size(); int begin = random.nextInt(size - 5); int end = (begin + 4) + random.nextInt(size - (begin + 4) + 1); List<BigDecimal> resultList = new ArrayList<BigDecimal>(); BigDecimal aggregatedReturned = mean.platesAggregated(plate, begin, end - begin, mc); for (Well well : plate) { resultList.addAll(well.data().subList(begin, end)); } double[] inputAggregated = new double[resultList.size()]; for (int i = 0; i < resultList.size(); i++) { inputAggregated[i] = resultList.get(i).doubleValue(); } DescriptiveStatistics statAggregated = new DescriptiveStatistics(inputAggregated); double resultAggregatedDouble = statAggregated.getMean(); BigDecimal aggregatedResult = new BigDecimal(resultAggregatedDouble); BigDecimal[] corrected = correctRoundingErrors(aggregatedResult, aggregatedReturned); assertEquals(corrected[0], corrected[1]); } } /** * Tests the aggregated plate statistics method using the values between the indices of * the collection. */ @Test public void testAggregatedPlateCollectionIndices() { int size = arrayIndices[0].first().size(); int begin = random.nextInt(size - 5); int end = (begin + 4) + random.nextInt(size - (begin + 4) + 1); List<Plate> collection = Arrays.asList(arrayIndices); Map<Plate, BigDecimal> aggregatedReturnedMap = mean.platesAggregated(collection, begin, end - begin, mc); Map<Plate, BigDecimal> aggregatedResultMap = new TreeMap<Plate, BigDecimal>(); for (Plate plate : collection) { List<BigDecimal> resultList = new ArrayList<BigDecimal>(); for (Well well : plate) { resultList.addAll(well.data().subList(begin, end)); } double[] inputAggregated = new double[resultList.size()]; for (int i = 0; i < resultList.size(); i++) { inputAggregated[i] = resultList.get(i).doubleValue(); } DescriptiveStatistics statAggregated = new DescriptiveStatistics(inputAggregated); double resultAggregatedDouble = statAggregated.getMean(); BigDecimal aggregatedResult = new BigDecimal(resultAggregatedDouble); aggregatedResultMap.put(plate, aggregatedResult); } for (Plate plate : collection) { BigDecimal result = aggregatedResultMap.get(plate); BigDecimal returned = aggregatedReturnedMap.get(plate); BigDecimal[] corrected = correctRoundingErrors(result, returned); assertEquals(corrected[0], corrected[1]); } } /** * Tests the aggregated plate statistics method using the values between the indices of * the array. */ @Test public void testAggregatedPlateArrayIndices() { int size = arrayIndices[0].first().size(); int begin = random.nextInt(size - 5); int end = (begin + 4) + random.nextInt(size - (begin + 4) + 1); Map<Plate, BigDecimal> aggregatedReturnedMap = mean.platesAggregated(arrayIndices, begin, end - begin, mc); Map<Plate, BigDecimal> aggregatedResultMap = new TreeMap<Plate, BigDecimal>(); for (Plate plate : arrayIndices) { List<BigDecimal> resultList = new ArrayList<BigDecimal>(); for (Well well : plate) { resultList.addAll(well.data().subList(begin, end)); } double[] inputAggregated = new double[resultList.size()]; for (int i = 0; i < resultList.size(); i++) { inputAggregated[i] = resultList.get(i).doubleValue(); } DescriptiveStatistics statAggregated = new DescriptiveStatistics(inputAggregated); double resultAggregatedDouble = statAggregated.getMean(); BigDecimal aggregatedResult = new BigDecimal(resultAggregatedDouble); aggregatedResultMap.put(plate, aggregatedResult); } for (Plate plate : arrayIndices) { BigDecimal result = aggregatedResultMap.get(plate); BigDecimal returned = aggregatedReturnedMap.get(plate); BigDecimal[] corrected = correctRoundingErrors(result, returned); assertEquals(corrected[0], corrected[1]); } } /* --------------- Well statistics for all wells in a set -------------- */ /** * Tests set calculation. */ @Test public void testSet() { for (Plate plate : array) { Map<Well, BigDecimal> resultMap = new TreeMap<Well, BigDecimal>(); Map<Well, BigDecimal> returnedMap = mean.set(plate.dataSet(), mc); for (Well well : plate) { double[] input = new double[well.size()]; int index = 0; for (BigDecimal bd : well) { input[index++] = bd.doubleValue(); } DescriptiveStatistics stat = new DescriptiveStatistics(input); double resultDouble = stat.getMean(); BigDecimal result = new BigDecimal(resultDouble); resultMap.put(well, result); } for (Well well : plate) { BigDecimal result = resultMap.get(well); BigDecimal returned = returnedMap.get(well); BigDecimal[] corrected = correctRoundingErrors(result, returned); assertEquals(corrected[0], corrected[1]); } } } /** * Tests set calculation using indices. */ @Test public void testSetIndices() { for (Plate plate : arrayIndices) { int size = arrayIndices[0].first().size(); int begin = random.nextInt(size - 5); int end = (begin + 4) + random.nextInt(size - (begin + 4) + 1); Map<Well, BigDecimal> resultMap = new TreeMap<Well, BigDecimal>(); Map<Well, BigDecimal> returnedMap = mean.set(plate.dataSet(), begin, end - begin, mc); for (Well well : plate) { double[] input = new double[well.size()]; int index = 0; for (BigDecimal bd : well) { input[index++] = bd.doubleValue(); } DescriptiveStatistics stat = new DescriptiveStatistics(ArrayUtils.subarray(input, begin, end)); double resultDouble = stat.getMean(); BigDecimal result = new BigDecimal(resultDouble); resultMap.put(well, result); } for (Well well : plate) { BigDecimal result = resultMap.get(well); BigDecimal returned = returnedMap.get(well); BigDecimal[] corrected = correctRoundingErrors(result, returned); assertEquals(corrected[0], corrected[1]); } } } /* ---------------------- Aggregated set statistics -------------------- */ /** * Tests the aggregated plate statistics method. */ @Test public void testAggregatedSet() { for (Plate plate : array) { List<BigDecimal> resultList = new ArrayList<BigDecimal>(); BigDecimal aggregatedReturned = mean.setsAggregated(plate.dataSet(), mc); for (Well well : plate) { resultList.addAll(well.data()); } double[] inputAggregated = new double[resultList.size()]; for (int i = 0; i < resultList.size(); i++) { inputAggregated[i] = resultList.get(i).doubleValue(); } DescriptiveStatistics statAggregated = new DescriptiveStatistics(inputAggregated); double resultAggregatedDouble = statAggregated.getMean(); BigDecimal aggregatedResult = new BigDecimal(resultAggregatedDouble); BigDecimal[] corrected = correctRoundingErrors(aggregatedResult, aggregatedReturned); assertEquals(corrected[0], corrected[1]); } } /** * Tests the aggregated plate statistics method using a collection. */ @Test public void testAggregatedSetCollection() { List<WellSet> collection = new ArrayList<WellSet>(); for (Plate plate : array) { collection.add(plate.dataSet()); } Map<WellSet, BigDecimal> aggregatedReturnedMap = mean.setsAggregated(collection, mc); Map<WellSet, BigDecimal> aggregatedResultMap = new TreeMap<WellSet, BigDecimal>(); for (WellSet set : collection) { List<BigDecimal> resultList = new ArrayList<BigDecimal>(); for (Well well : set) { resultList.addAll(well.data()); } double[] inputAggregated = new double[resultList.size()]; for (int i = 0; i < resultList.size(); i++) { inputAggregated[i] = resultList.get(i).doubleValue(); } DescriptiveStatistics statAggregated = new DescriptiveStatistics(inputAggregated); double resultAggregatedDouble = statAggregated.getMean(); BigDecimal aggregatedResult = new BigDecimal(resultAggregatedDouble); aggregatedResultMap.put(set, aggregatedResult); } for (WellSet set : collection) { BigDecimal result = aggregatedResultMap.get(set); BigDecimal returned = aggregatedReturnedMap.get(set); BigDecimal[] corrected = correctRoundingErrors(result, returned); assertEquals(corrected[0], corrected[1]); } } /** * Tests the aggregated plate statistics method using an array. */ @Test public void testAggregatedSetArray() { WellSet[] setArray = new WellSet[array.length]; for (int i = 0; i < setArray.length; i++) { setArray[i] = array[i].dataSet(); } Map<WellSet, BigDecimal> aggregatedReturnedMap = mean.setsAggregated(setArray, mc); Map<WellSet, BigDecimal> aggregatedResultMap = new TreeMap<WellSet, BigDecimal>(); for (WellSet set : setArray) { List<BigDecimal> resultList = new ArrayList<BigDecimal>(); for (Well well : set) { resultList.addAll(well.data()); } double[] inputAggregated = new double[resultList.size()]; for (int i = 0; i < resultList.size(); i++) { inputAggregated[i] = resultList.get(i).doubleValue(); } DescriptiveStatistics statAggregated = new DescriptiveStatistics(inputAggregated); double resultAggregatedDouble = statAggregated.getMean(); BigDecimal aggregatedResult = new BigDecimal(resultAggregatedDouble); aggregatedResultMap.put(set, aggregatedResult); } for (WellSet set : setArray) { BigDecimal result = aggregatedResultMap.get(set); BigDecimal returned = aggregatedReturnedMap.get(set); BigDecimal[] corrected = correctRoundingErrors(result, returned); assertEquals(corrected[0], corrected[1]); } } /** * Tests the aggregated plate statistics method using the values between the indices. */ @Test public void testAggregatedSetIndices() { for (Plate plate : arrayIndices) { int size = arrayIndices[0].first().size(); int begin = random.nextInt(size - 5); int end = (begin + 4) + random.nextInt(size - (begin + 4) + 1); List<BigDecimal> resultList = new ArrayList<BigDecimal>(); BigDecimal aggregatedReturned = mean.setsAggregated(plate.dataSet(), begin, end - begin, mc); for (Well well : plate) { resultList.addAll(well.data().subList(begin, end)); } double[] inputAggregated = new double[resultList.size()]; for (int i = 0; i < resultList.size(); i++) { inputAggregated[i] = resultList.get(i).doubleValue(); } DescriptiveStatistics statAggregated = new DescriptiveStatistics(inputAggregated); double resultAggregatedDouble = statAggregated.getMean(); BigDecimal aggregatedResult = new BigDecimal(resultAggregatedDouble); BigDecimal[] corrected = correctRoundingErrors(aggregatedResult, aggregatedReturned); assertEquals(corrected[0], corrected[1]); } } /** * Tests the aggregated plate statistics method using the values between the indices of * the collection. */ @Test public void testAggregatedSetCollectionIndices() { int size = arrayIndices[0].first().size(); int begin = random.nextInt(size - 5); int end = (begin + 4) + random.nextInt(size - (begin + 4) + 1); List<WellSet> collection = new ArrayList<WellSet>(); for (Plate plate : arrayIndices) { collection.add(plate.dataSet()); } Map<WellSet, BigDecimal> aggregatedReturnedMap = mean.setsAggregated(collection, begin, end - begin, mc); Map<WellSet, BigDecimal> aggregatedResultMap = new TreeMap<WellSet, BigDecimal>(); for (WellSet set : collection) { List<BigDecimal> resultList = new ArrayList<BigDecimal>(); for (Well well : set) { resultList.addAll(well.data().subList(begin, end)); } double[] inputAggregated = new double[resultList.size()]; for (int i = 0; i < resultList.size(); i++) { inputAggregated[i] = resultList.get(i).doubleValue(); } DescriptiveStatistics statAggregated = new DescriptiveStatistics(inputAggregated); double resultAggregatedDouble = statAggregated.getMean(); BigDecimal aggregatedResult = new BigDecimal(resultAggregatedDouble); aggregatedResultMap.put(set, aggregatedResult); } for (WellSet set : collection) { BigDecimal result = aggregatedResultMap.get(set); BigDecimal returned = aggregatedReturnedMap.get(set); BigDecimal[] corrected = correctRoundingErrors(result, returned); assertEquals(corrected[0], corrected[1]); } } /** * Tests the aggregated plate statistics method using the values between the indices of * the array. */ @Test public void testAggregatedSetArrayIndices() { int size = arrayIndices[0].first().size(); int begin = random.nextInt(size - 5); int end = (begin + 4) + random.nextInt(size - (begin + 4) + 1); WellSet[] setArrayIndices = new WellSet[arrayIndices.length]; for (int i = 0; i < setArrayIndices.length; i++) { setArrayIndices[i] = arrayIndices[i].dataSet(); } Map<WellSet, BigDecimal> aggregatedReturnedMap = mean.setsAggregated(setArrayIndices, begin, end - begin, mc); Map<WellSet, BigDecimal> aggregatedResultMap = new TreeMap<WellSet, BigDecimal>(); for (WellSet set : setArrayIndices) { List<BigDecimal> resultList = new ArrayList<BigDecimal>(); for (Well well : set) { resultList.addAll(well.data().subList(begin, end)); } double[] inputAggregated = new double[resultList.size()]; for (int i = 0; i < resultList.size(); i++) { inputAggregated[i] = resultList.get(i).doubleValue(); } DescriptiveStatistics statAggregated = new DescriptiveStatistics(inputAggregated); double resultAggregatedDouble = statAggregated.getMean(); BigDecimal aggregatedResult = new BigDecimal(resultAggregatedDouble); aggregatedResultMap.put(set, aggregatedResult); } for (WellSet plate : setArrayIndices) { BigDecimal result = aggregatedResultMap.get(plate); BigDecimal returned = aggregatedReturnedMap.get(plate); BigDecimal[] corrected = correctRoundingErrors(result, returned); assertEquals(corrected[0], corrected[1]); } } /* -------------------------- Well statistics -------------------------- */ /** * Tests well calculation. */ @Test public void testWell() { for (Plate plate : array) { for (Well well : plate) { double[] input = new double[well.size()]; int index = 0; for (BigDecimal bd : well) { input[index++] = bd.doubleValue(); } DescriptiveStatistics stat = new DescriptiveStatistics(input); double resultDouble = stat.getMean(); BigDecimal returned = mean.well(well, mc); BigDecimal result = new BigDecimal(resultDouble); BigDecimal[] corrected = correctRoundingErrors(returned, result); assertEquals(corrected[0], corrected[1]); } } } /** * Tests well calculation using indices. */ @Test public void testWellIndices() { for (Plate plate : arrayIndices) { for (Well well : plate) { double[] input = new double[well.size()]; int index = 0; for (BigDecimal bd : well) { input[index++] = bd.doubleValue(); } int size = arrayIndices[0].first().size(); int begin = random.nextInt(size - 5); int end = (begin + 4) + random.nextInt(size - (begin + 4) + 1); DescriptiveStatistics stat = new DescriptiveStatistics(ArrayUtils.subarray(input, begin, end)); double resultDouble = stat.getMean(); BigDecimal returned = mean.well(well, begin, end - begin, mc); BigDecimal result = new BigDecimal(resultDouble); BigDecimal[] corrected = correctRoundingErrors(returned, result); assertEquals(corrected[0], corrected[1]); } } } /*---------------------------- Helper Methods ----------------------------*/ /** * Corrects any rounding errors due to differences in the implementation of * the statistic between the Apache and MicroFlex libraries * @param BigDecimal the first result * @param BigDecimal the second result * @return corrected results */ private static BigDecimal[] correctRoundingErrors(BigDecimal bd1, BigDecimal bd2) { BigDecimal[] array = new BigDecimal[2]; int scale = mc.getPrecision(); while (!bd1.equals(bd2) && scale > mc.getPrecision() / 4) { bd1 = bd1.setScale(scale, RoundingMode.HALF_DOWN); bd2 = bd2.setScale(scale, RoundingMode.HALF_DOWN); if (bd1.subtract(bd1.ulp()).equals(bd2)) { bd1 = bd1.subtract(bd1.ulp()); } if (bd1.add(bd1.ulp()).equals(bd2)) { bd1 = bd1.add(bd1.ulp()); } scale--; } array[0] = bd1; array[1] = bd2; return array; } }