1 /*
   2  * Copyright (c) 2012, 2013, Oracle and/or its affiliates. All rights reserved.
   3  * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
   4  *
   5  * This code is free software; you can redistribute it and/or modify it
   6  * under the terms of the GNU General Public License version 2 only, as
   7  * published by the Free Software Foundation.  Oracle designates this
   8  * particular file as subject to the "Classpath" exception as provided
   9  * by Oracle in the LICENSE file that accompanied this code.
  10  *
  11  * This code is distributed in the hope that it will be useful, but WITHOUT
  12  * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
  13  * FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
  14  * version 2 for more details (a copy is included in the LICENSE file that
  15  * accompanied this code).
  16  *
  17  * You should have received a copy of the GNU General Public License version
  18  * 2 along with this work; if not, write to the Free Software Foundation,
  19  * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
  20  *
  21  * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
  22  * or visit www.oracle.com if you need additional information or have any
  23  * questions.
  24  */
  25 
  26 /*
  27  * This file is available under and governed by the GNU General Public
  28  * License version 2 only, as published by the Free Software Foundation.
  29  * However, the following notice accompanied the original version of this
  30  * file:
  31  *
  32  * Copyright (c) 2009-2012, Stephen Colebourne & Michael Nascimento Santos
  33  *
  34  * All rights reserved.
  35  *
  36  * Redistribution and use in source and binary forms, with or without
  37  * modification, are permitted provided that the following conditions are met:
  38  *
  39  *  * Redistributions of source code must retain the above copyright notice,
  40  *    this list of conditions and the following disclaimer.
  41  *
  42  *  * Redistributions in binary form must reproduce the above copyright notice,
  43  *    this list of conditions and the following disclaimer in the documentation
  44  *    and/or other materials provided with the distribution.
  45  *
  46  *  * Neither the name of JSR-310 nor the names of its contributors
  47  *    may be used to endorse or promote products derived from this software
  48  *    without specific prior written permission.
  49  *
  50  * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
  51  * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
  52  * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
  53  * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
  54  * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
  55  * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
  56  * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
  57  * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
  58  * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
  59  * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
  60  * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
  61  */
  62 package java.time.zone;
  63 
  64 import java.io.DataInput;
  65 import java.io.DataOutput;
  66 import java.io.IOException;
  67 import java.io.InvalidObjectException;
  68 import java.io.ObjectInputStream;
  69 import java.io.Serializable;
  70 import java.time.Duration;
  71 import java.time.Instant;
  72 import java.time.LocalDate;
  73 import java.time.LocalDateTime;
  74 import java.time.ZoneId;
  75 import java.time.ZoneOffset;
  76 import java.time.Year;
  77 import java.util.ArrayList;
  78 import java.util.Arrays;
  79 import java.util.Collections;
  80 import java.util.List;
  81 import java.util.Objects;
  82 import java.util.concurrent.ConcurrentHashMap;
  83 import java.util.concurrent.ConcurrentMap;
  84 
  85 /**
  86  * The rules defining how the zone offset varies for a single time-zone.
  87  * <p>
  88  * The rules model all the historic and future transitions for a time-zone.
  89  * {@link ZoneOffsetTransition} is used for known transitions, typically historic.
  90  * {@link ZoneOffsetTransitionRule} is used for future transitions that are based
  91  * on the result of an algorithm.
  92  * <p>
  93  * The rules are loaded via {@link ZoneRulesProvider} using a {@link ZoneId}.
  94  * The same rules may be shared internally between multiple zone IDs.
  95  * <p>
  96  * Serializing an instance of {@code ZoneRules} will store the entire set of rules.
  97  * It does not store the zone ID as it is not part of the state of this object.
  98  * <p>
  99  * A rule implementation may or may not store full information about historic
 100  * and future transitions, and the information stored is only as accurate as
 101  * that supplied to the implementation by the rules provider.
 102  * Applications should treat the data provided as representing the best information
 103  * available to the implementation of this rule.
 104  *
 105  * @implSpec
 106  * This class is immutable and thread-safe.
 107  *
 108  * @since 1.8
 109  */
 110 public final class ZoneRules implements Serializable {
 111 
 112     /**
 113      * Serialization version.
 114      */
 115     private static final long serialVersionUID = 3044319355680032515L;
 116     /**
 117      * The last year to have its transitions cached.
 118      */
 119     private static final int LAST_CACHED_YEAR = 2100;
 120 
 121     /**
 122      * The transitions between standard offsets (epoch seconds), sorted.
 123      */
 124     private final long[] standardTransitions;
 125     /**
 126      * The standard offsets.
 127      */
 128     private final ZoneOffset[] standardOffsets;
 129     /**
 130      * The transitions between instants (epoch seconds), sorted.
 131      */
 132     private final long[] savingsInstantTransitions;
 133     /**
 134      * The transitions between local date-times, sorted.
 135      * This is a paired array, where the first entry is the start of the transition
 136      * and the second entry is the end of the transition.
 137      */
 138     private final LocalDateTime[] savingsLocalTransitions;
 139     /**
 140      * The wall offsets.
 141      */
 142     private final ZoneOffset[] wallOffsets;
 143     /**
 144      * The last rule.
 145      */
 146     private final ZoneOffsetTransitionRule[] lastRules;
 147     /**
 148      * The map of recent transitions.
 149      */
 150     private final transient ConcurrentMap<Integer, ZoneOffsetTransition[]> lastRulesCache =
 151                 new ConcurrentHashMap<Integer, ZoneOffsetTransition[]>();
 152     /**
 153      * The zero-length long array.
 154      */
 155     private static final long[] EMPTY_LONG_ARRAY = new long[0];
 156     /**
 157      * The zero-length lastrules array.
 158      */
 159     private static final ZoneOffsetTransitionRule[] EMPTY_LASTRULES =
 160         new ZoneOffsetTransitionRule[0];
 161     /**
 162      * The zero-length ldt array.
 163      */
 164     private static final LocalDateTime[] EMPTY_LDT_ARRAY = new LocalDateTime[0];
 165 
 166     /**
 167      * Obtains an instance of a ZoneRules.
 168      *
 169      * @param baseStandardOffset  the standard offset to use before legal rules were set, not null
 170      * @param baseWallOffset  the wall offset to use before legal rules were set, not null
 171      * @param standardOffsetTransitionList  the list of changes to the standard offset, not null
 172      * @param transitionList  the list of transitions, not null
 173      * @param lastRules  the recurring last rules, size 16 or less, not null
 174      * @return the zone rules, not null
 175      */
 176     public static ZoneRules of(ZoneOffset baseStandardOffset,
 177                                ZoneOffset baseWallOffset,
 178                                List<ZoneOffsetTransition> standardOffsetTransitionList,
 179                                List<ZoneOffsetTransition> transitionList,
 180                                List<ZoneOffsetTransitionRule> lastRules) {
 181         Objects.requireNonNull(baseStandardOffset, "baseStandardOffset");
 182         Objects.requireNonNull(baseWallOffset, "baseWallOffset");
 183         Objects.requireNonNull(standardOffsetTransitionList, "standardOffsetTransitionList");
 184         Objects.requireNonNull(transitionList, "transitionList");
 185         Objects.requireNonNull(lastRules, "lastRules");
 186         return new ZoneRules(baseStandardOffset, baseWallOffset,
 187                              standardOffsetTransitionList, transitionList, lastRules);
 188     }
 189 
 190     /**
 191      * Obtains an instance of ZoneRules that has fixed zone rules.
 192      *
 193      * @param offset  the offset this fixed zone rules is based on, not null
 194      * @return the zone rules, not null
 195      * @see #isFixedOffset()
 196      */
 197     public static ZoneRules of(ZoneOffset offset) {
 198         Objects.requireNonNull(offset, "offset");
 199         return new ZoneRules(offset);
 200     }
 201 
 202     /**
 203      * Creates an instance.
 204      *
 205      * @param baseStandardOffset  the standard offset to use before legal rules were set, not null
 206      * @param baseWallOffset  the wall offset to use before legal rules were set, not null
 207      * @param standardOffsetTransitionList  the list of changes to the standard offset, not null
 208      * @param transitionList  the list of transitions, not null
 209      * @param lastRules  the recurring last rules, size 16 or less, not null
 210      */
 211     ZoneRules(ZoneOffset baseStandardOffset,
 212               ZoneOffset baseWallOffset,
 213               List<ZoneOffsetTransition> standardOffsetTransitionList,
 214               List<ZoneOffsetTransition> transitionList,
 215               List<ZoneOffsetTransitionRule> lastRules) {
 216         super();
 217 
 218         // convert standard transitions
 219 
 220         this.standardTransitions = new long[standardOffsetTransitionList.size()];
 221 
 222         this.standardOffsets = new ZoneOffset[standardOffsetTransitionList.size() + 1];
 223         this.standardOffsets[0] = baseStandardOffset;
 224         for (int i = 0; i < standardOffsetTransitionList.size(); i++) {
 225             this.standardTransitions[i] = standardOffsetTransitionList.get(i).toEpochSecond();
 226             this.standardOffsets[i + 1] = standardOffsetTransitionList.get(i).getOffsetAfter();
 227         }
 228 
 229         // convert savings transitions to locals
 230         List<LocalDateTime> localTransitionList = new ArrayList<>();
 231         List<ZoneOffset> localTransitionOffsetList = new ArrayList<>();
 232         localTransitionOffsetList.add(baseWallOffset);
 233         for (ZoneOffsetTransition trans : transitionList) {
 234             if (trans.isGap()) {
 235                 localTransitionList.add(trans.getDateTimeBefore());
 236                 localTransitionList.add(trans.getDateTimeAfter());
 237             } else {
 238                 localTransitionList.add(trans.getDateTimeAfter());
 239                 localTransitionList.add(trans.getDateTimeBefore());
 240             }
 241             localTransitionOffsetList.add(trans.getOffsetAfter());
 242         }
 243         this.savingsLocalTransitions = localTransitionList.toArray(new LocalDateTime[localTransitionList.size()]);
 244         this.wallOffsets = localTransitionOffsetList.toArray(new ZoneOffset[localTransitionOffsetList.size()]);
 245 
 246         // convert savings transitions to instants
 247         this.savingsInstantTransitions = new long[transitionList.size()];
 248         for (int i = 0; i < transitionList.size(); i++) {
 249             this.savingsInstantTransitions[i] = transitionList.get(i).toEpochSecond();
 250         }
 251 
 252         // last rules
 253         if (lastRules.size() > 16) {
 254             throw new IllegalArgumentException("Too many transition rules");
 255         }
 256         this.lastRules = lastRules.toArray(new ZoneOffsetTransitionRule[lastRules.size()]);
 257     }
 258 
 259     /**
 260      * Constructor.
 261      *
 262      * @param standardTransitions  the standard transitions, not null
 263      * @param standardOffsets  the standard offsets, not null
 264      * @param savingsInstantTransitions  the standard transitions, not null
 265      * @param wallOffsets  the wall offsets, not null
 266      * @param lastRules  the recurring last rules, size 15 or less, not null
 267      */
 268     private ZoneRules(long[] standardTransitions,
 269                       ZoneOffset[] standardOffsets,
 270                       long[] savingsInstantTransitions,
 271                       ZoneOffset[] wallOffsets,
 272                       ZoneOffsetTransitionRule[] lastRules) {
 273         super();
 274 
 275         this.standardTransitions = standardTransitions;
 276         this.standardOffsets = standardOffsets;
 277         this.savingsInstantTransitions = savingsInstantTransitions;
 278         this.wallOffsets = wallOffsets;
 279         this.lastRules = lastRules;
 280 
 281         if (savingsInstantTransitions.length == 0) {
 282             this.savingsLocalTransitions = EMPTY_LDT_ARRAY;
 283         } else {
 284             // convert savings transitions to locals
 285             List<LocalDateTime> localTransitionList = new ArrayList<>();
 286             for (int i = 0; i < savingsInstantTransitions.length; i++) {
 287                 ZoneOffset before = wallOffsets[i];
 288                 ZoneOffset after = wallOffsets[i + 1];
 289                 ZoneOffsetTransition trans = new ZoneOffsetTransition(savingsInstantTransitions[i], before, after);
 290                 if (trans.isGap()) {
 291                     localTransitionList.add(trans.getDateTimeBefore());
 292                     localTransitionList.add(trans.getDateTimeAfter());
 293                 } else {
 294                     localTransitionList.add(trans.getDateTimeAfter());
 295                     localTransitionList.add(trans.getDateTimeBefore());
 296                }
 297             }
 298             this.savingsLocalTransitions = localTransitionList.toArray(new LocalDateTime[localTransitionList.size()]);
 299         }
 300     }
 301 
 302     /**
 303      * Creates an instance of ZoneRules that has fixed zone rules.
 304      *
 305      * @param offset  the offset this fixed zone rules is based on, not null
 306      * @return the zone rules, not null
 307      * @see #isFixedOffset()
 308      */
 309     private ZoneRules(ZoneOffset offset) {
 310         this.standardOffsets = new ZoneOffset[1];
 311         this.standardOffsets[0] = offset;
 312         this.standardTransitions = EMPTY_LONG_ARRAY;
 313         this.savingsInstantTransitions = EMPTY_LONG_ARRAY;
 314         this.savingsLocalTransitions = EMPTY_LDT_ARRAY;
 315         this.wallOffsets = standardOffsets;
 316         this.lastRules = EMPTY_LASTRULES;
 317     }
 318 
 319     /**
 320      * Defend against malicious streams.
 321      *
 322      * @param s the stream to read
 323      * @throws InvalidObjectException always
 324      */
 325     private void readObject(ObjectInputStream s) throws InvalidObjectException {
 326         throw new InvalidObjectException("Deserialization via serialization delegate");
 327     }
 328 
 329     /**
 330      * Writes the object using a
 331      * <a href="../../../serialized-form.html#java.time.zone.Ser">dedicated serialized form</a>.
 332      * @serialData
 333      * <pre style="font-size:1.0em">{@code
 334      *
 335      *   out.writeByte(1);  // identifies a ZoneRules
 336      *   out.writeInt(standardTransitions.length);
 337      *   for (long trans : standardTransitions) {
 338      *       Ser.writeEpochSec(trans, out);
 339      *   }
 340      *   for (ZoneOffset offset : standardOffsets) {
 341      *       Ser.writeOffset(offset, out);
 342      *   }
 343      *   out.writeInt(savingsInstantTransitions.length);
 344      *   for (long trans : savingsInstantTransitions) {
 345      *       Ser.writeEpochSec(trans, out);
 346      *   }
 347      *   for (ZoneOffset offset : wallOffsets) {
 348      *       Ser.writeOffset(offset, out);
 349      *   }
 350      *   out.writeByte(lastRules.length);
 351      *   for (ZoneOffsetTransitionRule rule : lastRules) {
 352      *       rule.writeExternal(out);
 353      *   }
 354      * }
 355      * </pre>
 356      * <p>
 357      * Epoch second values used for offsets are encoded in a variable
 358      * length form to make the common cases put fewer bytes in the stream.
 359      * <pre style="font-size:1.0em">{@code
 360      *
 361      *  static void writeEpochSec(long epochSec, DataOutput out) throws IOException {
 362      *     if (epochSec >= -4575744000L && epochSec < 10413792000L && epochSec % 900 == 0) {  // quarter hours between 1825 and 2300
 363      *         int store = (int) ((epochSec + 4575744000L) / 900);
 364      *         out.writeByte((store >>> 16) & 255);
 365      *         out.writeByte((store >>> 8) & 255);
 366      *         out.writeByte(store & 255);
 367      *      } else {
 368      *          out.writeByte(255);
 369      *          out.writeLong(epochSec);
 370      *      }
 371      *  }
 372      * }
 373      * </pre>
 374      * <p>
 375      * ZoneOffset values are encoded in a variable length form so the
 376      * common cases put fewer bytes in the stream.
 377      * <pre style="font-size:1.0em">{@code
 378      *
 379      *  static void writeOffset(ZoneOffset offset, DataOutput out) throws IOException {
 380      *     final int offsetSecs = offset.getTotalSeconds();
 381      *     int offsetByte = offsetSecs % 900 == 0 ? offsetSecs / 900 : 127;  // compress to -72 to +72
 382      *     out.writeByte(offsetByte);
 383      *     if (offsetByte == 127) {
 384      *         out.writeInt(offsetSecs);
 385      *     }
 386      * }
 387      *}
 388      * </pre>
 389      * @return the replacing object, not null
 390      */
 391     private Object writeReplace() {
 392         return new Ser(Ser.ZRULES, this);
 393     }
 394 
 395     /**
 396      * Writes the state to the stream.
 397      *
 398      * @param out  the output stream, not null
 399      * @throws IOException if an error occurs
 400      */
 401     void writeExternal(DataOutput out) throws IOException {
 402         out.writeInt(standardTransitions.length);
 403         for (long trans : standardTransitions) {
 404             Ser.writeEpochSec(trans, out);
 405         }
 406         for (ZoneOffset offset : standardOffsets) {
 407             Ser.writeOffset(offset, out);
 408         }
 409         out.writeInt(savingsInstantTransitions.length);
 410         for (long trans : savingsInstantTransitions) {
 411             Ser.writeEpochSec(trans, out);
 412         }
 413         for (ZoneOffset offset : wallOffsets) {
 414             Ser.writeOffset(offset, out);
 415         }
 416         out.writeByte(lastRules.length);
 417         for (ZoneOffsetTransitionRule rule : lastRules) {
 418             rule.writeExternal(out);
 419         }
 420     }
 421 
 422     /**
 423      * Reads the state from the stream.
 424      *
 425      * @param in  the input stream, not null
 426      * @return the created object, not null
 427      * @throws IOException if an error occurs
 428      */
 429     static ZoneRules readExternal(DataInput in) throws IOException, ClassNotFoundException {
 430         int stdSize = in.readInt();
 431         long[] stdTrans = (stdSize == 0) ? EMPTY_LONG_ARRAY
 432                                          : new long[stdSize];
 433         for (int i = 0; i < stdSize; i++) {
 434             stdTrans[i] = Ser.readEpochSec(in);
 435         }
 436         ZoneOffset[] stdOffsets = new ZoneOffset[stdSize + 1];
 437         for (int i = 0; i < stdOffsets.length; i++) {
 438             stdOffsets[i] = Ser.readOffset(in);
 439         }
 440         int savSize = in.readInt();
 441         long[] savTrans = (savSize == 0) ? EMPTY_LONG_ARRAY
 442                                          : new long[savSize];
 443         for (int i = 0; i < savSize; i++) {
 444             savTrans[i] = Ser.readEpochSec(in);
 445         }
 446         ZoneOffset[] savOffsets = new ZoneOffset[savSize + 1];
 447         for (int i = 0; i < savOffsets.length; i++) {
 448             savOffsets[i] = Ser.readOffset(in);
 449         }
 450         int ruleSize = in.readByte();
 451         ZoneOffsetTransitionRule[] rules = (ruleSize == 0) ?
 452             EMPTY_LASTRULES : new ZoneOffsetTransitionRule[ruleSize];
 453         for (int i = 0; i < ruleSize; i++) {
 454             rules[i] = ZoneOffsetTransitionRule.readExternal(in);
 455         }
 456         return new ZoneRules(stdTrans, stdOffsets, savTrans, savOffsets, rules);
 457     }
 458 
 459     /**
 460      * Checks of the zone rules are fixed, such that the offset never varies.
 461      *
 462      * @return true if the time-zone is fixed and the offset never changes
 463      */
 464     public boolean isFixedOffset() {
 465         return savingsInstantTransitions.length == 0;
 466     }
 467 
 468     /**
 469      * Gets the offset applicable at the specified instant in these rules.
 470      * <p>
 471      * The mapping from an instant to an offset is simple, there is only
 472      * one valid offset for each instant.
 473      * This method returns that offset.
 474      *
 475      * @param instant  the instant to find the offset for, not null, but null
 476      *  may be ignored if the rules have a single offset for all instants
 477      * @return the offset, not null
 478      */
 479     public ZoneOffset getOffset(Instant instant) {
 480         if (savingsInstantTransitions.length == 0) {
 481             return standardOffsets[0];
 482         }
 483         long epochSec = instant.getEpochSecond();
 484         // check if using last rules
 485         if (lastRules.length > 0 &&
 486                 epochSec > savingsInstantTransitions[savingsInstantTransitions.length - 1]) {
 487             int year = findYear(epochSec, wallOffsets[wallOffsets.length - 1]);
 488             ZoneOffsetTransition[] transArray = findTransitionArray(year);
 489             ZoneOffsetTransition trans = null;
 490             for (int i = 0; i < transArray.length; i++) {
 491                 trans = transArray[i];
 492                 if (epochSec < trans.toEpochSecond()) {
 493                     return trans.getOffsetBefore();
 494                 }
 495             }
 496             return trans.getOffsetAfter();
 497         }
 498 
 499         // using historic rules
 500         int index  = Arrays.binarySearch(savingsInstantTransitions, epochSec);
 501         if (index < 0) {
 502             // switch negative insert position to start of matched range
 503             index = -index - 2;
 504         }
 505         return wallOffsets[index + 1];
 506     }
 507 
 508     /**
 509      * Gets a suitable offset for the specified local date-time in these rules.
 510      * <p>
 511      * The mapping from a local date-time to an offset is not straightforward.
 512      * There are three cases:
 513      * <ul>
 514      * <li>Normal, with one valid offset. For the vast majority of the year, the normal
 515      *  case applies, where there is a single valid offset for the local date-time.</li>
 516      * <li>Gap, with zero valid offsets. This is when clocks jump forward typically
 517      *  due to the spring daylight savings change from "winter" to "summer".
 518      *  In a gap there are local date-time values with no valid offset.</li>
 519      * <li>Overlap, with two valid offsets. This is when clocks are set back typically
 520      *  due to the autumn daylight savings change from "summer" to "winter".
 521      *  In an overlap there are local date-time values with two valid offsets.</li>
 522      * </ul>
 523      * Thus, for any given local date-time there can be zero, one or two valid offsets.
 524      * This method returns the single offset in the Normal case, and in the Gap or Overlap
 525      * case it returns the offset before the transition.
 526      * <p>
 527      * Since, in the case of Gap and Overlap, the offset returned is a "best" value, rather
 528      * than the "correct" value, it should be treated with care. Applications that care
 529      * about the correct offset should use a combination of this method,
 530      * {@link #getValidOffsets(LocalDateTime)} and {@link #getTransition(LocalDateTime)}.
 531      *
 532      * @param localDateTime  the local date-time to query, not null, but null
 533      *  may be ignored if the rules have a single offset for all instants
 534      * @return the best available offset for the local date-time, not null
 535      */
 536     public ZoneOffset getOffset(LocalDateTime localDateTime) {
 537         Object info = getOffsetInfo(localDateTime);
 538         if (info instanceof ZoneOffsetTransition) {
 539             return ((ZoneOffsetTransition) info).getOffsetBefore();
 540         }
 541         return (ZoneOffset) info;
 542     }
 543 
 544     /**
 545      * Gets the offset applicable at the specified local date-time in these rules.
 546      * <p>
 547      * The mapping from a local date-time to an offset is not straightforward.
 548      * There are three cases:
 549      * <ul>
 550      * <li>Normal, with one valid offset. For the vast majority of the year, the normal
 551      *  case applies, where there is a single valid offset for the local date-time.</li>
 552      * <li>Gap, with zero valid offsets. This is when clocks jump forward typically
 553      *  due to the spring daylight savings change from "winter" to "summer".
 554      *  In a gap there are local date-time values with no valid offset.</li>
 555      * <li>Overlap, with two valid offsets. This is when clocks are set back typically
 556      *  due to the autumn daylight savings change from "summer" to "winter".
 557      *  In an overlap there are local date-time values with two valid offsets.</li>
 558      * </ul>
 559      * Thus, for any given local date-time there can be zero, one or two valid offsets.
 560      * This method returns that list of valid offsets, which is a list of size 0, 1 or 2.
 561      * In the case where there are two offsets, the earlier offset is returned at index 0
 562      * and the later offset at index 1.
 563      * <p>
 564      * There are various ways to handle the conversion from a {@code LocalDateTime}.
 565      * One technique, using this method, would be:
 566      * <pre>
 567      *  List&lt;ZoneOffset&gt; validOffsets = rules.getOffset(localDT);
 568      *  if (validOffsets.size() == 1) {
 569      *    // Normal case: only one valid offset
 570      *    zoneOffset = validOffsets.get(0);
 571      *  } else {
 572      *    // Gap or Overlap: determine what to do from transition (which will be non-null)
 573      *    ZoneOffsetTransition trans = rules.getTransition(localDT);
 574      *  }
 575      * </pre>
 576      * <p>
 577      * In theory, it is possible for there to be more than two valid offsets.
 578      * This would happen if clocks to be put back more than once in quick succession.
 579      * This has never happened in the history of time-zones and thus has no special handling.
 580      * However, if it were to happen, then the list would return more than 2 entries.
 581      *
 582      * @param localDateTime  the local date-time to query for valid offsets, not null, but null
 583      *  may be ignored if the rules have a single offset for all instants
 584      * @return the list of valid offsets, may be immutable, not null
 585      */
 586     public List<ZoneOffset> getValidOffsets(LocalDateTime localDateTime) {
 587         // should probably be optimized
 588         Object info = getOffsetInfo(localDateTime);
 589         if (info instanceof ZoneOffsetTransition) {
 590             return ((ZoneOffsetTransition) info).getValidOffsets();
 591         }
 592         return Collections.singletonList((ZoneOffset) info);
 593     }
 594 
 595     /**
 596      * Gets the offset transition applicable at the specified local date-time in these rules.
 597      * <p>
 598      * The mapping from a local date-time to an offset is not straightforward.
 599      * There are three cases:
 600      * <ul>
 601      * <li>Normal, with one valid offset. For the vast majority of the year, the normal
 602      *  case applies, where there is a single valid offset for the local date-time.</li>
 603      * <li>Gap, with zero valid offsets. This is when clocks jump forward typically
 604      *  due to the spring daylight savings change from "winter" to "summer".
 605      *  In a gap there are local date-time values with no valid offset.</li>
 606      * <li>Overlap, with two valid offsets. This is when clocks are set back typically
 607      *  due to the autumn daylight savings change from "summer" to "winter".
 608      *  In an overlap there are local date-time values with two valid offsets.</li>
 609      * </ul>
 610      * A transition is used to model the cases of a Gap or Overlap.
 611      * The Normal case will return null.
 612      * <p>
 613      * There are various ways to handle the conversion from a {@code LocalDateTime}.
 614      * One technique, using this method, would be:
 615      * <pre>
 616      *  ZoneOffsetTransition trans = rules.getTransition(localDT);
 617      *  if (trans != null) {
 618      *    // Gap or Overlap: determine what to do from transition
 619      *  } else {
 620      *    // Normal case: only one valid offset
 621      *    zoneOffset = rule.getOffset(localDT);
 622      *  }
 623      * </pre>
 624      *
 625      * @param localDateTime  the local date-time to query for offset transition, not null, but null
 626      *  may be ignored if the rules have a single offset for all instants
 627      * @return the offset transition, null if the local date-time is not in transition
 628      */
 629     public ZoneOffsetTransition getTransition(LocalDateTime localDateTime) {
 630         Object info = getOffsetInfo(localDateTime);
 631         return (info instanceof ZoneOffsetTransition ? (ZoneOffsetTransition) info : null);
 632     }
 633 
 634     private Object getOffsetInfo(LocalDateTime dt) {
 635         if (savingsInstantTransitions.length == 0) {
 636             return standardOffsets[0];
 637         }
 638         // check if using last rules
 639         if (lastRules.length > 0 &&
 640                 dt.isAfter(savingsLocalTransitions[savingsLocalTransitions.length - 1])) {
 641             ZoneOffsetTransition[] transArray = findTransitionArray(dt.getYear());
 642             Object info = null;
 643             for (ZoneOffsetTransition trans : transArray) {
 644                 info = findOffsetInfo(dt, trans);
 645                 if (info instanceof ZoneOffsetTransition || info.equals(trans.getOffsetBefore())) {
 646                     return info;
 647                 }
 648             }
 649             return info;
 650         }
 651 
 652         // using historic rules
 653         int index  = Arrays.binarySearch(savingsLocalTransitions, dt);
 654         if (index == -1) {
 655             // before first transition
 656             return wallOffsets[0];
 657         }
 658         if (index < 0) {
 659             // switch negative insert position to start of matched range
 660             index = -index - 2;
 661         } else if (index < savingsLocalTransitions.length - 1 &&
 662                 savingsLocalTransitions[index].equals(savingsLocalTransitions[index + 1])) {
 663             // handle overlap immediately following gap
 664             index++;
 665         }
 666         if ((index & 1) == 0) {
 667             // gap or overlap
 668             LocalDateTime dtBefore = savingsLocalTransitions[index];
 669             LocalDateTime dtAfter = savingsLocalTransitions[index + 1];
 670             ZoneOffset offsetBefore = wallOffsets[index / 2];
 671             ZoneOffset offsetAfter = wallOffsets[index / 2 + 1];
 672             if (offsetAfter.getTotalSeconds() > offsetBefore.getTotalSeconds()) {
 673                 // gap
 674                 return new ZoneOffsetTransition(dtBefore, offsetBefore, offsetAfter);
 675             } else {
 676                 // overlap
 677                 return new ZoneOffsetTransition(dtAfter, offsetBefore, offsetAfter);
 678             }
 679         } else {
 680             // normal (neither gap or overlap)
 681             return wallOffsets[index / 2 + 1];
 682         }
 683     }
 684 
 685     /**
 686      * Finds the offset info for a local date-time and transition.
 687      *
 688      * @param dt  the date-time, not null
 689      * @param trans  the transition, not null
 690      * @return the offset info, not null
 691      */
 692     private Object findOffsetInfo(LocalDateTime dt, ZoneOffsetTransition trans) {
 693         LocalDateTime localTransition = trans.getDateTimeBefore();
 694         if (trans.isGap()) {
 695             if (dt.isBefore(localTransition)) {
 696                 return trans.getOffsetBefore();
 697             }
 698             if (dt.isBefore(trans.getDateTimeAfter())) {
 699                 return trans;
 700             } else {
 701                 return trans.getOffsetAfter();
 702             }
 703         } else {
 704             if (dt.isBefore(localTransition) == false) {
 705                 return trans.getOffsetAfter();
 706             }
 707             if (dt.isBefore(trans.getDateTimeAfter())) {
 708                 return trans.getOffsetBefore();
 709             } else {
 710                 return trans;
 711             }
 712         }
 713     }
 714 
 715     /**
 716      * Finds the appropriate transition array for the given year.
 717      *
 718      * @param year  the year, not null
 719      * @return the transition array, not null
 720      */
 721     private ZoneOffsetTransition[] findTransitionArray(int year) {
 722         Integer yearObj = year;  // should use Year class, but this saves a class load
 723         ZoneOffsetTransition[] transArray = lastRulesCache.get(yearObj);
 724         if (transArray != null) {
 725             return transArray;
 726         }
 727         ZoneOffsetTransitionRule[] ruleArray = lastRules;
 728         transArray  = new ZoneOffsetTransition[ruleArray.length];
 729         for (int i = 0; i < ruleArray.length; i++) {
 730             transArray[i] = ruleArray[i].createTransition(year);
 731         }
 732         if (year < LAST_CACHED_YEAR) {
 733             lastRulesCache.putIfAbsent(yearObj, transArray);
 734         }
 735         return transArray;
 736     }
 737 
 738     /**
 739      * Gets the standard offset for the specified instant in this zone.
 740      * <p>
 741      * This provides access to historic information on how the standard offset
 742      * has changed over time.
 743      * The standard offset is the offset before any daylight saving time is applied.
 744      * This is typically the offset applicable during winter.
 745      *
 746      * @param instant  the instant to find the offset information for, not null, but null
 747      *  may be ignored if the rules have a single offset for all instants
 748      * @return the standard offset, not null
 749      */
 750     public ZoneOffset getStandardOffset(Instant instant) {
 751         if (savingsInstantTransitions.length == 0) {
 752             return standardOffsets[0];
 753         }
 754         long epochSec = instant.getEpochSecond();
 755         int index  = Arrays.binarySearch(standardTransitions, epochSec);
 756         if (index < 0) {
 757             // switch negative insert position to start of matched range
 758             index = -index - 2;
 759         }
 760         return standardOffsets[index + 1];
 761     }
 762 
 763     /**
 764      * Gets the amount of daylight savings in use for the specified instant in this zone.
 765      * <p>
 766      * This provides access to historic information on how the amount of daylight
 767      * savings has changed over time.
 768      * This is the difference between the standard offset and the actual offset.
 769      * Typically the amount is zero during winter and one hour during summer.
 770      * Time-zones are second-based, so the nanosecond part of the duration will be zero.
 771      * <p>
 772      * This default implementation calculates the duration from the
 773      * {@link #getOffset(java.time.Instant) actual} and
 774      * {@link #getStandardOffset(java.time.Instant) standard} offsets.
 775      *
 776      * @param instant  the instant to find the daylight savings for, not null, but null
 777      *  may be ignored if the rules have a single offset for all instants
 778      * @return the difference between the standard and actual offset, not null
 779      */
 780     public Duration getDaylightSavings(Instant instant) {
 781         if (savingsInstantTransitions.length == 0) {
 782             return Duration.ZERO;
 783         }
 784         ZoneOffset standardOffset = getStandardOffset(instant);
 785         ZoneOffset actualOffset = getOffset(instant);
 786         return Duration.ofSeconds(actualOffset.getTotalSeconds() - standardOffset.getTotalSeconds());
 787     }
 788 
 789     /**
 790      * Checks if the specified instant is in daylight savings.
 791      * <p>
 792      * This checks if the standard offset and the actual offset are the same
 793      * for the specified instant.
 794      * If they are not, it is assumed that daylight savings is in operation.
 795      * <p>
 796      * This default implementation compares the {@link #getOffset(java.time.Instant) actual}
 797      * and {@link #getStandardOffset(java.time.Instant) standard} offsets.
 798      *
 799      * @param instant  the instant to find the offset information for, not null, but null
 800      *  may be ignored if the rules have a single offset for all instants
 801      * @return the standard offset, not null
 802      */
 803     public boolean isDaylightSavings(Instant instant) {
 804         return (getStandardOffset(instant).equals(getOffset(instant)) == false);
 805     }
 806 
 807     /**
 808      * Checks if the offset date-time is valid for these rules.
 809      * <p>
 810      * To be valid, the local date-time must not be in a gap and the offset
 811      * must match one of the valid offsets.
 812      * <p>
 813      * This default implementation checks if {@link #getValidOffsets(java.time.LocalDateTime)}
 814      * contains the specified offset.
 815      *
 816      * @param localDateTime  the date-time to check, not null, but null
 817      *  may be ignored if the rules have a single offset for all instants
 818      * @param offset  the offset to check, null returns false
 819      * @return true if the offset date-time is valid for these rules
 820      */
 821     public boolean isValidOffset(LocalDateTime localDateTime, ZoneOffset offset) {
 822         return getValidOffsets(localDateTime).contains(offset);
 823     }
 824 
 825     /**
 826      * Gets the next transition after the specified instant.
 827      * <p>
 828      * This returns details of the next transition after the specified instant.
 829      * For example, if the instant represents a point where "Summer" daylight savings time
 830      * applies, then the method will return the transition to the next "Winter" time.
 831      *
 832      * @param instant  the instant to get the next transition after, not null, but null
 833      *  may be ignored if the rules have a single offset for all instants
 834      * @return the next transition after the specified instant, null if this is after the last transition
 835      */
 836     public ZoneOffsetTransition nextTransition(Instant instant) {
 837         if (savingsInstantTransitions.length == 0) {
 838             return null;
 839         }
 840         long epochSec = instant.getEpochSecond();
 841         // check if using last rules
 842         if (epochSec >= savingsInstantTransitions[savingsInstantTransitions.length - 1]) {
 843             if (lastRules.length == 0) {
 844                 return null;
 845             }
 846             // search year the instant is in
 847             int year = findYear(epochSec, wallOffsets[wallOffsets.length - 1]);
 848             ZoneOffsetTransition[] transArray = findTransitionArray(year);
 849             for (ZoneOffsetTransition trans : transArray) {
 850                 if (epochSec < trans.toEpochSecond()) {
 851                     return trans;
 852                 }
 853             }
 854             // use first from following year
 855             if (year < Year.MAX_VALUE) {
 856                 transArray = findTransitionArray(year + 1);
 857                 return transArray[0];
 858             }
 859             return null;
 860         }
 861 
 862         // using historic rules
 863         int index  = Arrays.binarySearch(savingsInstantTransitions, epochSec);
 864         if (index < 0) {
 865             index = -index - 1;  // switched value is the next transition
 866         } else {
 867             index += 1;  // exact match, so need to add one to get the next
 868         }
 869         return new ZoneOffsetTransition(savingsInstantTransitions[index], wallOffsets[index], wallOffsets[index + 1]);
 870     }
 871 
 872     /**
 873      * Gets the previous transition before the specified instant.
 874      * <p>
 875      * This returns details of the previous transition after the specified instant.
 876      * For example, if the instant represents a point where "summer" daylight saving time
 877      * applies, then the method will return the transition from the previous "winter" time.
 878      *
 879      * @param instant  the instant to get the previous transition after, not null, but null
 880      *  may be ignored if the rules have a single offset for all instants
 881      * @return the previous transition after the specified instant, null if this is before the first transition
 882      */
 883     public ZoneOffsetTransition previousTransition(Instant instant) {
 884         if (savingsInstantTransitions.length == 0) {
 885             return null;
 886         }
 887         long epochSec = instant.getEpochSecond();
 888         if (instant.getNano() > 0 && epochSec < Long.MAX_VALUE) {
 889             epochSec += 1;  // allow rest of method to only use seconds
 890         }
 891 
 892         // check if using last rules
 893         long lastHistoric = savingsInstantTransitions[savingsInstantTransitions.length - 1];
 894         if (lastRules.length > 0 && epochSec > lastHistoric) {
 895             // search year the instant is in
 896             ZoneOffset lastHistoricOffset = wallOffsets[wallOffsets.length - 1];
 897             int year = findYear(epochSec, lastHistoricOffset);
 898             ZoneOffsetTransition[] transArray = findTransitionArray(year);
 899             for (int i = transArray.length - 1; i >= 0; i--) {
 900                 if (epochSec > transArray[i].toEpochSecond()) {
 901                     return transArray[i];
 902                 }
 903             }
 904             // use last from preceding year
 905             int lastHistoricYear = findYear(lastHistoric, lastHistoricOffset);
 906             if (--year > lastHistoricYear) {
 907                 transArray = findTransitionArray(year);
 908                 return transArray[transArray.length - 1];
 909             }
 910             // drop through
 911         }
 912 
 913         // using historic rules
 914         int index  = Arrays.binarySearch(savingsInstantTransitions, epochSec);
 915         if (index < 0) {
 916             index = -index - 1;
 917         }
 918         if (index <= 0) {
 919             return null;
 920         }
 921         return new ZoneOffsetTransition(savingsInstantTransitions[index - 1], wallOffsets[index - 1], wallOffsets[index]);
 922     }
 923 
 924     private int findYear(long epochSecond, ZoneOffset offset) {
 925         // inline for performance
 926         long localSecond = epochSecond + offset.getTotalSeconds();
 927         long localEpochDay = Math.floorDiv(localSecond, 86400);
 928         return LocalDate.ofEpochDay(localEpochDay).getYear();
 929     }
 930 
 931     /**
 932      * Gets the complete list of fully defined transitions.
 933      * <p>
 934      * The complete set of transitions for this rules instance is defined by this method
 935      * and {@link #getTransitionRules()}. This method returns those transitions that have
 936      * been fully defined. These are typically historical, but may be in the future.
 937      * <p>
 938      * The list will be empty for fixed offset rules and for any time-zone where there has
 939      * only ever been a single offset. The list will also be empty if the transition rules are unknown.
 940      *
 941      * @return an immutable list of fully defined transitions, not null
 942      */
 943     public List<ZoneOffsetTransition> getTransitions() {
 944         List<ZoneOffsetTransition> list = new ArrayList<>();
 945         for (int i = 0; i < savingsInstantTransitions.length; i++) {
 946             list.add(new ZoneOffsetTransition(savingsInstantTransitions[i], wallOffsets[i], wallOffsets[i + 1]));
 947         }
 948         return Collections.unmodifiableList(list);
 949     }
 950 
 951     /**
 952      * Gets the list of transition rules for years beyond those defined in the transition list.
 953      * <p>
 954      * The complete set of transitions for this rules instance is defined by this method
 955      * and {@link #getTransitions()}. This method returns instances of {@link ZoneOffsetTransitionRule}
 956      * that define an algorithm for when transitions will occur.
 957      * <p>
 958      * For any given {@code ZoneRules}, this list contains the transition rules for years
 959      * beyond those years that have been fully defined. These rules typically refer to future
 960      * daylight saving time rule changes.
 961      * <p>
 962      * If the zone defines daylight savings into the future, then the list will normally
 963      * be of size two and hold information about entering and exiting daylight savings.
 964      * If the zone does not have daylight savings, or information about future changes
 965      * is uncertain, then the list will be empty.
 966      * <p>
 967      * The list will be empty for fixed offset rules and for any time-zone where there is no
 968      * daylight saving time. The list will also be empty if the transition rules are unknown.
 969      *
 970      * @return an immutable list of transition rules, not null
 971      */
 972     public List<ZoneOffsetTransitionRule> getTransitionRules() {
 973         return Collections.unmodifiableList(Arrays.asList(lastRules));
 974     }
 975 
 976     /**
 977      * Checks if this set of rules equals another.
 978      * <p>
 979      * Two rule sets are equal if they will always result in the same output
 980      * for any given input instant or local date-time.
 981      * Rules from two different groups may return false even if they are in fact the same.
 982      * <p>
 983      * This definition should result in implementations comparing their entire state.
 984      *
 985      * @param otherRules  the other rules, null returns false
 986      * @return true if this rules is the same as that specified
 987      */
 988     @Override
 989     public boolean equals(Object otherRules) {
 990         if (this == otherRules) {
 991            return true;
 992         }
 993         if (otherRules instanceof ZoneRules) {
 994             ZoneRules other = (ZoneRules) otherRules;
 995             return Arrays.equals(standardTransitions, other.standardTransitions) &&
 996                     Arrays.equals(standardOffsets, other.standardOffsets) &&
 997                     Arrays.equals(savingsInstantTransitions, other.savingsInstantTransitions) &&
 998                     Arrays.equals(wallOffsets, other.wallOffsets) &&
 999                     Arrays.equals(lastRules, other.lastRules);
1000         }
1001         return false;
1002     }
1003 
1004     /**
1005      * Returns a suitable hash code given the definition of {@code #equals}.
1006      *
1007      * @return the hash code
1008      */
1009     @Override
1010     public int hashCode() {
1011         return Arrays.hashCode(standardTransitions) ^
1012                 Arrays.hashCode(standardOffsets) ^
1013                 Arrays.hashCode(savingsInstantTransitions) ^
1014                 Arrays.hashCode(wallOffsets) ^
1015                 Arrays.hashCode(lastRules);
1016     }
1017 
1018     /**
1019      * Returns a string describing this object.
1020      *
1021      * @return a string for debugging, not null
1022      */
1023     @Override
1024     public String toString() {
1025         return "ZoneRules[currentStandardOffset=" + standardOffsets[standardOffsets.length - 1] + "]";
1026     }
1027 
1028 }