/* * * * Copyright 1990-2009 Sun Microsystems, Inc. All Rights Reserved. * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER * * This program is free software; you can redistribute it and/or * modify it under the terms of the GNU General Public License version * 2 only, as published by the Free Software Foundation. * * This program is distributed in the hope that it will be useful, but * WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU * General Public License version 2 for more details (a copy is * included at /legal/license.txt). * * You should have received a copy of the GNU General Public License * version 2 along with this work; if not, write to the Free Software * Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA * 02110-1301 USA * * Please contact Sun Microsystems, Inc., 4150 Network Circle, Santa * Clara, CA 95054 or visit www.sun.com if you need additional * information or have any questions. */ package com.sun.cldc.util.j2me; import java.util.*; import java.io.*; /** * This class is an implementation of the subsetted * CLDC 1.1 Calendar class. * * @see java.util.Calendar * @see java.util.TimeZone */ public class CalendarImpl extends Calendar { /* ERA */ private static final int BC = 0; private static final int AD = 1; /* January 1, year 1 (Gregorian) */ private static final int JAN_1_1_JULIAN_DAY = 1721426; /* January 1, 1970 (Gregorian) */ private static final int EPOCH_JULIAN_DAY = 2440588; /* 0-based, for day-in-year */ private static final int NUM_DAYS[] = {0,31,59,90,120,151,181,212,243,273,304,334}; /* 0-based, for day-in-year */ private static final int LEAP_NUM_DAYS[] = {0,31,60,91,121,152,182,213,244,274,305,335}; /** * Useful millisecond constants. Although ONE_DAY and ONE_WEEK can fit * into ints, they must be longs in order to prevent arithmetic overflow * when performing (CR 4173516). */ private static final int ONE_SECOND = 1000; private static final int ONE_MINUTE = 60*ONE_SECOND; private static final int ONE_HOUR = 60*ONE_MINUTE; private static final long ONE_DAY = 24*ONE_HOUR; /** * The point at which the Gregorian calendar rules are used, measured in * milliseconds from the standard epoch. Default is October 15, 1582 * (Gregorian) 00:00:00 UTC or -12219292800000L. For this value, October 4, * 1582 (Julian) is followed by October 15, 1582 (Gregorian). This * corresponds to Julian day number 2299161. */ private static final long gregorianCutover = -12219292800000L; /** * The year of the gregorianCutover, with 0 representing * 1 BC, -1 representing 2 BC, etc. */ private static final int gregorianCutoverYear = 1582; public CalendarImpl() { super(); } /** * Converts UTC as milliseconds to time field values. */ protected void computeFields() { int rawOffset = getTimeZone().getRawOffset(); long localMillis = time + rawOffset; // Check for very extreme values -- millis near Long.MIN_VALUE or // Long.MAX_VALUE. For these values, adding the zone offset can push // the millis past MAX_VALUE to MIN_VALUE, or vice versa. This produces // the undesirable effect that the time can wrap around at the ends, // yielding, for example, a Date(Long.MAX_VALUE) with a big BC year // (should be AD). Handle this by pinning such values to Long.MIN_VALUE // or Long.MAX_VALUE. - liu 8/11/98 CR 4149677 if (time > 0 && localMillis < 0 && rawOffset > 0) { localMillis = Long.MAX_VALUE; } else if (time < 0 && localMillis > 0 && rawOffset < 0) { localMillis = Long.MIN_VALUE; } // Time to fields takes the wall millis (Standard or DST). timeToFields(localMillis); long days = (long)(localMillis / ONE_DAY); int millisInDay = (int)(localMillis - (days * ONE_DAY)); if (millisInDay < 0) millisInDay += ONE_DAY; // Call getOffset() to get the TimeZone offset. // The millisInDay value must be standard local millis. int dstOffset = getTimeZone().getOffset(AD, this.fields[YEAR], this.fields[MONTH], this.fields[DATE], this.fields[DAY_OF_WEEK], millisInDay) - rawOffset; // Adjust our millisInDay for DST, if necessary. millisInDay += dstOffset; // If DST has pushed us into the next day, // we must call timeToFields() again. // This happens in DST between 12:00 am and 1:00 am every day. // The call to timeToFields() will give the wrong day, // since the Standard time is in the previous day if (millisInDay >= ONE_DAY) { long dstMillis = localMillis + dstOffset; millisInDay -= ONE_DAY; // As above, check for and pin extreme values if (localMillis > 0 && dstMillis < 0 && dstOffset > 0) { dstMillis = Long.MAX_VALUE; } else if (localMillis < 0 && dstMillis > 0 && dstOffset < 0) { dstMillis = Long.MIN_VALUE; } timeToFields(dstMillis); } // Fill in all time-related fields based on millisInDay. // so as not to perturb flags. this.fields[MILLISECOND] = millisInDay % 1000; millisInDay /= 1000; this.fields[SECOND] = millisInDay % 60; millisInDay /= 60; this.fields[MINUTE] = millisInDay % 60; millisInDay /= 60; this.fields[HOUR_OF_DAY] = millisInDay; this.fields[AM_PM] = millisInDay / 12; this.fields[HOUR] = millisInDay % 12; } /** * Convert the time as milliseconds to the date fields. Millis must be * given as local wall millis to get the correct local day. For example, * if it is 11:30 pm Standard, and DST is in effect, the correct DST millis * must be passed in to get the right date. * <p> * Fields that are completed by this method: YEAR, MONTH, DATE, DAY_OF_WEEK. * @param theTime the time in wall millis (either Standard or DST), * whichever is in effect */ private final void timeToFields(long theTime) { int dayOfYear, weekCount, rawYear; boolean isLeap; // Compute the year, month, and day of month from the given millis if (theTime >= gregorianCutover) { // The Gregorian epoch day is zero for Monday January 1, year 1. long gregorianEpochDay = millisToJulianDay(theTime) - JAN_1_1_JULIAN_DAY; // Here we convert from the day number to the multiple radix // representation. We use 400-year, 100-year, and 4-year cycles. // For example, the 4-year cycle has 4 years + 1 leap day; giving // 1461 == 365*4 + 1 days. int[] rem = new int[1]; // 400-year cycle length int n400 = floorDivide(gregorianEpochDay, 146097, rem); // 100-year cycle length int n100 = floorDivide(rem[0], 36524, rem); // 4-year cycle length int n4 = floorDivide(rem[0], 1461, rem); int n1 = floorDivide(rem[0], 365, rem); rawYear = 400*n400 + 100*n100 + 4*n4 + n1; // zero-based day of year dayOfYear = rem[0]; // Dec 31 at end of 4- or 400-yr cycle if (n100 == 4 || n1 == 4) { dayOfYear = 365; } else { ++rawYear; } // equiv. to (rawYear%4 == 0) isLeap = ((rawYear&0x3) == 0) && (rawYear%100 != 0 || rawYear%400 == 0); // Gregorian day zero is a Monday this.fields[DAY_OF_WEEK] = (int)((gregorianEpochDay+1) % 7); } else { // The Julian epoch day (not the same as Julian Day) // is zero on Saturday December 30, 0 (Gregorian). long julianEpochDay = millisToJulianDay(theTime) - (JAN_1_1_JULIAN_DAY - 2); rawYear = (int) floorDivide(4*julianEpochDay + 1464, 1461); // Compute the Julian calendar day number for January 1, year long january1 = 365*(rawYear-1) + floorDivide(rawYear-1, 4); dayOfYear = (int)(julianEpochDay - january1); // 0-based // Julian leap years occurred historically every 4 years starting // with 8 AD. Before 8 AD the spacing is irregular; every 3 years // from 45 BC to 9 BC, and then none until 8 AD. However, we don't // implement this historical detail; instead, we implement the // computationally cleaner proleptic calendar, which assumes // consistent 4-year cycles throughout time. // equiv. to (rawYear%4 == 0) isLeap = ((rawYear&0x3) == 0); // Julian calendar day zero is a Saturday this.fields[DAY_OF_WEEK] = (int)((julianEpochDay-1) % 7); } // Common Julian/Gregorian calculation int correction = 0; // zero-based DOY for March 1 int march1 = isLeap ? 60 : 59; if (dayOfYear >= march1) correction = isLeap ? 1 : 2; // zero-based month int month_field = (12 * (dayOfYear + correction) + 6) / 367; // one-based DOM int date_field = dayOfYear - (isLeap ? LEAP_NUM_DAYS[month_field] : NUM_DAYS[month_field]) + 1; // Normalize day of week this.fields[DAY_OF_WEEK] += (this.fields[DAY_OF_WEEK] < 0) ? (SUNDAY+7) : SUNDAY; this.fields[YEAR] = rawYear; // If year is < 1 we are in BC if (this.fields[YEAR] < 1) { this.fields[YEAR] = 1 - this.fields[YEAR]; } // 0-based this.fields[MONTH] = month_field + JANUARY; this.fields[DATE] = date_field; } /* * The following two static arrays are used privately by the * <code>toString(Calendar calendar)</code> function below. */ static String[] months = {"Jan", "Feb", "Mar", "Apr", "May", "Jun", "Jul", "Aug", "Sep", "Oct", "Nov", "Dec"}; static String[] days = {"Sun", "Mon", "Tue", "Wed", "Thu", "Fri", "Sat"}; /** * Converts this <code>Date</code> object to a <code>String</code> * of the form: * <blockquote><pre> * dow mon dd hh:mm:ss zzz yyyy</pre></blockquote> * where:<ul> * <li><tt>dow</tt> is the day of the week (<tt>Sun, Mon, Tue, Wed, * Thu, Fri, Sat</tt>). * <li><tt>mon</tt> is the month (<tt>Jan, Feb, Mar, Apr, May, Jun, * Jul, Aug, Sep, Oct, Nov, Dec</tt>). * <li><tt>dd</tt> is the day of the month (<tt>01</tt> through * <tt>31</tt>), as two decimal digits. * <li><tt>hh</tt> is the hour of the day (<tt>00</tt> through * <tt>23</tt>), as two decimal digits. * <li><tt>mm</tt> is the minute within the hour (<tt>00</tt> through * <tt>59</tt>), as two decimal digits. * <li><tt>ss</tt> is the second within the minute (<tt>00</tt> through * <tt>61</tt>, as two decimal digits. * <li><tt>zzz</tt> is the time zone (and may reflect daylight savings * time). If time zone information is not available, * then <tt>zzz</tt> is empty - that is, it consists * of no characters at all. * <li><tt>yyyy</tt> is the year, as four decimal digits. * </ul> * * @return a string representation of this date. */ public static String toString(Calendar calendar) { // Printing in the absence of a Calendar // implementation class is not supported if (calendar == null) { return "Thu Jan 01 00:00:00 UTC 1970"; } int dow = calendar.get(Calendar.DAY_OF_WEEK); int month = calendar.get(Calendar.MONTH); int day = calendar.get(Calendar.DAY_OF_MONTH); int hour_of_day = calendar.get(Calendar.HOUR_OF_DAY); int minute = calendar.get(Calendar.MINUTE); int seconds = calendar.get(Calendar.SECOND); int year = calendar.get(Calendar.YEAR); String yr = Integer.toString(year); TimeZone zone = calendar.getTimeZone(); String zoneID = zone.getID(); if (zoneID == null) zoneID = ""; // The total size of the string buffer // 3+1+3+1+2+1+2+1+2+1+2+1+zoneID.length+1+yr.length // = 21 + zoneID.length + yr.length StringBuffer sb = new StringBuffer(25 + zoneID.length() + yr.length()); sb.append(days[dow-1]).append(' '); sb.append(months[month]).append(' '); appendTwoDigits(sb, day).append(' '); appendTwoDigits(sb, hour_of_day).append(':'); appendTwoDigits(sb, minute).append(':'); appendTwoDigits(sb, seconds).append(' '); if (zoneID.length() > 0) sb.append(zoneID).append(' '); appendFourDigits(sb, year); return sb.toString(); } /** * Converts this <code>Date</code> object to a <code>String</code>. * The output format is as follows: * <blockquote><pre>yyyy MM dd hh mm ss +zzzz</pre></blockquote> * where:<ul> * <li><dd>yyyy</dd> is the year, as four decimal digits. * Year values larger than <dd>9999</dd> will be truncated * to <dd>9999</dd>. * <li><dd>MM</dd> is the month (<dd>01</dd> through <dd>12</dd>), * as two decimal digits. * <li><dd>dd</dd> is the day of the month (<dd>01</dd> through * <dd>31</dd>), as two decimal digits. * <li><dd>hh</dd> is the hour of the day (<dd>00</dd> through * <dd>23</dd>), as two decimal digits. * <li><dd>mm</dd> is the minute within the hour (<dd>00</dd> * through <dd>59</dd>), as two decimal digits. * <li><dd>ss</dd> is the second within the minute (<dd>00</dd> * through <dd>59</dd>), as two decimal digits. * <li><dd>zzzz</dd> is the time zone offset in hours and minutes * (four decimal digits <dd>"hhmm"</dd>) relative to GMT, * preceded by a "+" or "-" character (<dd>-1200</dd> * through <dd>+1200</dd>). * For instance, Pacific Standard Time zone is printed * as <dd>-0800</dd>. GMT is printed as <dd>+0000</dd>. * </ul> * * @return a string representation of this date. */ public static String toISO8601String(Calendar calendar) { // Printing in the absence of a Calendar // implementation class is not supported if (calendar == null) { return "0000 00 00 00 00 00 +0000"; } int year = calendar.get(Calendar.YEAR); int month = calendar.get(Calendar.MONTH) + 1; int day = calendar.get(Calendar.DAY_OF_MONTH); int hour_of_day = calendar.get(Calendar.HOUR_OF_DAY); int hour = calendar.get(Calendar.HOUR); int minute = calendar.get(Calendar.MINUTE); int seconds = calendar.get(Calendar.SECOND); String yr = Integer.toString(year); // The total size of the string buffer // yr.length+1+2+1+2+1+2+1+2+1+2+1+5 = 25 + yr.length StringBuffer sb = new StringBuffer(25 + yr.length()); appendFourDigits(sb, year).append(' '); appendTwoDigits(sb, month).append(' '); appendTwoDigits(sb, day).append(' '); appendTwoDigits(sb, hour_of_day).append(' '); appendTwoDigits(sb, minute).append(' '); appendTwoDigits(sb, seconds).append(' '); // TimeZone offset is represented in milliseconds. // Convert the offset to minutes: TimeZone t = calendar.getTimeZone(); int zoneOffsetInMinutes = t.getRawOffset() / 1000 / 60; if (zoneOffsetInMinutes < 0) { zoneOffsetInMinutes = Math.abs(zoneOffsetInMinutes); sb.append('-'); } else { sb.append('+'); } int zoneHours = zoneOffsetInMinutes / 60; int zoneMinutes = zoneOffsetInMinutes % 60; appendTwoDigits(sb, zoneHours); appendTwoDigits(sb, zoneMinutes); return sb.toString(); } private static final StringBuffer appendFourDigits(StringBuffer sb, int number) { if (number >= 0 && number < 1000) { sb.append('0'); if (number < 100) { sb.append('0'); } if (number < 10) { sb.append('0'); } } return sb.append(number); } private static final StringBuffer appendTwoDigits(StringBuffer sb, int number) { if (number < 10) { sb.append('0'); } return sb.append(number); } ///////////////////////////// // Fields => Time computation ///////////////////////////// /** * Converts time field values to UTC as milliseconds. * @exception IllegalArgumentException if any fields are invalid. */ protected void computeTime() { correctTime(); // This function takes advantage of the fact that unset fields in // the time field list have a value of zero. // First, use the year to determine whether to use the Gregorian or the // Julian calendar. If the year is not the year of the cutover, this // computation will be correct. But if the year is the cutover year, // this may be incorrect. In that case, assume the Gregorian calendar, // make the computation, and then recompute if the resultant millis // indicate the wrong calendar has been assumed. // A date such as Oct. 10, 1582 does not exist in a Gregorian calendar // with the default changeover of Oct. 15, 1582, since in such a // calendar Oct. 4 (Julian) is followed by Oct. 15 (Gregorian). This // algorithm will interpret such a date using the Julian calendar, // yielding Oct. 20, 1582 (Gregorian). int year = this.fields[YEAR]; boolean isGregorian = year >= gregorianCutoverYear; long julianDay = calculateJulianDay(isGregorian, year); //if DAY_OF_WEEK was set more recently than DAY_OF_MONTH and is correct //then time is computed using current week and day of week if(isSet[DAY_OF_WEEK] && fields[DAY_OF_WEEK] >= SUNDAY && fields[DAY_OF_WEEK] <= SATURDAY) { julianDay += fields[DAY_OF_WEEK] - julianDayToDayOfWeek(julianDay); fields[DATE] += fields[DAY_OF_WEEK] - julianDayToDayOfWeek(julianDay); } long millis = julianDayToMillis(julianDay); // The following check handles portions of the cutover year BEFORE the // cutover itself happens. The check for the julianDate number is for a // rare case; it's a hardcoded number, but it's efficient. The given // Julian day number corresponds to Dec 3, 292269055 BC, which // corresponds to millis near Long.MIN_VALUE. The need for the check // arises because for extremely negative Julian day numbers, the millis // actually overflow to be positive values. Without the check, the // initial date is interpreted with the Gregorian calendar, even when // the cutover doesn't warrant it. if (isGregorian != (millis >= gregorianCutover) && julianDay != -106749550580L) { // See above julianDay = calculateJulianDay(!isGregorian, year); millis = julianDayToMillis(julianDay); } // Do the time portion of the conversion. int millisInDay = 0; // Hours // Don't normalize here; let overflow bump into the next period. // This is consistent with how we handle other fields. millisInDay += this.fields[HOUR_OF_DAY]; millisInDay *= 60; // now get minutes millisInDay += this.fields[MINUTE]; millisInDay *= 60; // now get seconds millisInDay += this.fields[SECOND]; millisInDay *= 1000; // now get millis millisInDay += this.fields[MILLISECOND]; // Compute the time zone offset and DST offset. There are two potential // ambiguities here. We'll assume a 2:00 am (wall time) switchover time // for discussion purposes here. // 1. The transition into DST. Here, a designated time of 2:00 am - 2:59 am // can be in standard or in DST depending. However, 2:00 am is an invalid // representation (the representation jumps from 1:59:59 am Std to 3:00:00 am DST). // We assume standard time. // 2. The transition out of DST. Here, a designated time of 1:00 am - 1:59 am // can be in standard or DST. Both are valid representations (the rep // jumps from 1:59:59 DST to 1:00:00 Std). // Again, we assume standard time. // We use the TimeZone object to get the zone offset int zoneOffset = getTimeZone().getRawOffset(); // Now add date and millisInDay together, to make millis contain local wall // millis, with no zone or DST adjustments millis += millisInDay; // Normalize the millisInDay to 0..ONE_DAY-1. If the millis is out // of range, then we must call timeToFields() to recompute our // fields. int[] normalizedMillisInDay = new int[1]; floorDivide(millis, (int)ONE_DAY, normalizedMillisInDay); // We need to have the month, the day, and the day of the week. // Calling timeToFields will compute the MONTH and DATE fields. // // It's tempting to try to use DAY_OF_WEEK here, if it // is set, but we CAN'T. Even if it's set, it might have // been set wrong by the user. We should rely only on // the Julian day number, which has been computed correctly // using the disambiguation algorithm above. [LIU] int dow = julianDayToDayOfWeek(julianDay); // It's tempting to try to use DAY_OF_WEEK here, if it // is set, but we CAN'T. Even if it's set, it might have // been set wrong by the user. We should rely only on // the Julian day number, which has been computed correctly // using the disambiguation algorithm above. [LIU] int dstOffset = getTimeZone().getOffset(AD, this.fields[YEAR], this.fields[MONTH], this.fields[DATE], dow, normalizedMillisInDay[0]) - zoneOffset; // Note: Because we pass in wall millisInDay, rather than // standard millisInDay, we interpret "1:00 am" on the day // of cessation of DST as "1:00 am Std" (assuming the time // of cessation is 2:00 am). // Store our final computed GMT time, with timezone adjustments. time = millis - zoneOffset - dstOffset; } /** * Compute the Julian day number under either the Gregorian or the * Julian calendar, using the given year and the remaining fields. * @param isGregorian if true, use the Gregorian calendar * @param year the adjusted year number, with 0 indicating the * year 1 BC, -1 indicating 2 BC, etc. * @return the Julian day number */ private final long calculateJulianDay(boolean isGregorian, int year) { int month = 0; long millis = 0; month = this.fields[MONTH] - JANUARY; // If the month is out of range, adjust it into range if (month < 0 || month > 11) { int[] rem = new int[1]; year += floorDivide(month, 12, rem); month = rem[0]; } boolean isLeap = year%4 == 0; long julianDay = 365L*(year - 1) + floorDivide((year - 1), 4) + (JAN_1_1_JULIAN_DAY - 3); if (isGregorian) { isLeap = isLeap && ((year%100 != 0) || (year%400 == 0)); // Add 2 because Gregorian calendar starts 2 days after Julian calendar julianDay += floorDivide((year - 1), 400) - floorDivide((year - 1), 100) + 2; } // At this point julianDay is the 0-based day BEFORE the first day of // January 1, year 1 of the given calendar. If julianDay == 0, it // specifies (Jan. 1, 1) - 1, in whatever calendar we are using (Julian // or Gregorian). julianDay += isLeap ? LEAP_NUM_DAYS[month] : NUM_DAYS[month]; julianDay += this.fields[DATE]; return julianDay; } /** * Validates the field values for HOUR_OF_DAY, AM_PM and HOUR * The calendar will give preference in the following order * HOUR_OF_DAY, AM_PM, HOUR */ private void correctTime() { int value; if (isSet[HOUR_OF_DAY]) { value = this.fields[HOUR_OF_DAY] % 24; this.fields[HOUR_OF_DAY] = value; this.fields[AM_PM] = (value < 12) ? AM : PM; this.isSet[HOUR_OF_DAY] = false; return; } if (isSet[HOUR]||isSet[AM_PM]) { value = this.fields[HOUR]; if (value > 12) { this.fields[HOUR_OF_DAY] = (value % 12) + 12; this.fields[HOUR] = value % 12; this.fields[AM_PM] = PM; } else { if (this.fields[AM_PM] == PM) { this.fields[HOUR_OF_DAY] = (value % 12) + 12; } else { this.fields[HOUR_OF_DAY] = value; } } this.isSet[AM_PM] = false; this.isSet[HOUR] = false; } } ///////////////// // Implementation ///////////////// /** * Converts time as milliseconds to Julian day. * @param millis the given milliseconds. * @return the Julian day number. */ private static final long millisToJulianDay(long millis) { return EPOCH_JULIAN_DAY + floorDivide(millis, ONE_DAY); } /** * Converts Julian day to time as milliseconds. * @param julian the given Julian day number. * @return time as milliseconds. */ private static final long julianDayToMillis(long julian) { return (julian - EPOCH_JULIAN_DAY) * ONE_DAY; } private static final int julianDayToDayOfWeek(long julian) { // If julian is negative, then julian%7 will be negative, so we adjust // accordingly. We add 1 because Julian day 0 is Monday. int dayOfWeek = (int)((julian + 1) % 7); return dayOfWeek + ((dayOfWeek < 0) ? (7 + SUNDAY) : SUNDAY); } /** * Divide two long integers, returning the floor of the quotient. * <p> * Unlike the built-in division, this is mathematically well-behaved. * E.g., <code>-1/4</code> => 0 * but <code>floorDivide(-1,4)</code> => -1. * @param numerator the numerator * @param denominator a divisor which must be > 0 * @return the floor of the quotient. */ private static final long floorDivide(long numerator, long denominator) { // We do this computation in order to handle // a numerator of Long.MIN_VALUE correctly return (numerator >= 0) ? numerator / denominator : ((numerator + 1) / denominator) - 1; } /** * Divide two integers, returning the floor of the quotient. * <p> * Unlike the built-in division, this is mathematically well-behaved. * E.g., <code>-1/4</code> => 0 * but <code>floorDivide(-1,4)</code> => -1. * @param numerator the numerator * @param denominator a divisor which must be > 0 * @return the floor of the quotient. */ private static final int floorDivide(int numerator, int denominator) { // We do this computation in order to handle // a numerator of Integer.MIN_VALUE correctly return (numerator >= 0) ? numerator / denominator : ((numerator + 1) / denominator) - 1; } /** * Divide two integers, returning the floor of the quotient, and * the modulus remainder. * <p> * Unlike the built-in division, this is mathematically well-behaved. * E.g., <code>-1/4</code> => 0 and <code>-1%4</code> => -1, * but <code>floorDivide(-1,4)</code> => -1 with <code>remainder[0]</code> => 3. * @param numerator the numerator * @param denominator a divisor which must be > 0 * @param remainder an array of at least one element in which the value * <code>numerator mod denominator</code> is returned. Unlike <code>numerator * % denominator</code>, this will always be non-negative. * @return the floor of the quotient. */ private static final int floorDivide(int numerator, int denominator, int[] remainder) { if (numerator >= 0) { remainder[0] = numerator % denominator; return numerator / denominator; } int quotient = ((numerator + 1) / denominator) - 1; remainder[0] = numerator - (quotient * denominator); return quotient; } /** * Divide two integers, returning the floor of the quotient, and * the modulus remainder. * <p> * Unlike the built-in division, this is mathematically well-behaved. * E.g., <code>-1/4</code> => 0 and <code>-1%4</code> => -1, * but <code>floorDivide(-1,4)</code> => -1 with <code>remainder[0]</code> => 3. * @param numerator the numerator * @param denominator a divisor which must be > 0 * @param remainder an array of at least one element in which the value * <code>numerator mod denominator</code> is returned. Unlike <code>numerator * % denominator</code>, this will always be non-negative. * @return the floor of the quotient. */ private static final int floorDivide(long numerator, int denominator, int[] remainder) { if (numerator >= 0) { remainder[0] = (int)(numerator % denominator); return (int)(numerator / denominator); } int quotient = (int)(((numerator + 1) / denominator) - 1); remainder[0] = (int)(numerator - (quotient * denominator)); return quotient; } }