1 /*
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   9  * by Oracle in the LICENSE file that accompanied this code.
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  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).
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  20  *
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  23  * questions.
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  25 
  26 package javany.util;
  27 
  28 import java.io.Serializable;
  29 import java.util.Objects;
  30 
  31 import javany.util.function.Function;
  32 
  33 /**
  34  * A comparison function, which imposes a <i>total ordering</i> on some
  35  * collection of objects.  Comparators can be passed to a sort method (such
  36  * as {@link Collections#sort(List,Comparator) Collections.sort} or {@link
  37  * Arrays#sort(Object[],Comparator) Arrays.sort}) to allow precise control
  38  * over the sort order.  Comparators can also be used to control the order of
  39  * certain data structures (such as {@link SortedSet sorted sets} or {@link
  40  * SortedMap sorted maps}), or to provide an ordering for collections of
  41  * objects that don't have a {@link Comparable natural ordering}.<p>
  42  *
  43  * The ordering imposed by a comparator <tt>c</tt> on a set of elements
  44  * <tt>S</tt> is said to be <i>consistent with equals</i> if and only if
  45  * <tt>c.compare(e1, e2)==0</tt> has the same boolean value as
  46  * <tt>e1.equals(e2)</tt> for every <tt>e1</tt> and <tt>e2</tt> in
  47  * <tt>S</tt>.<p>
  48  *
  49  * Caution should be exercised when using a comparator capable of imposing an
  50  * ordering inconsistent with equals to order a sorted set (or sorted map).
  51  * Suppose a sorted set (or sorted map) with an explicit comparator <tt>c</tt>
  52  * is used with elements (or keys) drawn from a set <tt>S</tt>.  If the
  53  * ordering imposed by <tt>c</tt> on <tt>S</tt> is inconsistent with equals,
  54  * the sorted set (or sorted map) will behave "strangely."  In particular the
  55  * sorted set (or sorted map) will violate the general contract for set (or
  56  * map), which is defined in terms of <tt>equals</tt>.<p>
  57  *
  58  * For example, suppose one adds two elements {@code a} and {@code b} such that
  59  * {@code (a.equals(b) && c.compare(a, b) != 0)}
  60  * to an empty {@code TreeSet} with comparator {@code c}.
  61  * The second {@code add} operation will return
  62  * true (and the size of the tree set will increase) because {@code a} and
  63  * {@code b} are not equivalent from the tree set's perspective, even though
  64  * this is contrary to the specification of the
  65  * {@link Set#add Set.add} method.<p>
  66  *
  67  * Note: It is generally a good idea for comparators to also implement
  68  * <tt>java.io.Serializable</tt>, as they may be used as ordering methods in
  69  * serializable data structures (like {@link TreeSet}, {@link TreeMap}).  In
  70  * order for the data structure to serialize successfully, the comparator (if
  71  * provided) must implement <tt>Serializable</tt>.<p>
  72  *
  73  * For the mathematically inclined, the <i>relation</i> that defines the
  74  * <i>imposed ordering</i> that a given comparator <tt>c</tt> imposes on a
  75  * given set of objects <tt>S</tt> is:<pre>
  76  *       {(x, y) such that c.compare(x, y) &lt;= 0}.
  77  * </pre> The <i>quotient</i> for this total order is:<pre>
  78  *       {(x, y) such that c.compare(x, y) == 0}.
  79  * </pre>
  80  *
  81  * It follows immediately from the contract for <tt>compare</tt> that the
  82  * quotient is an <i>equivalence relation</i> on <tt>S</tt>, and that the
  83  * imposed ordering is a <i>total order</i> on <tt>S</tt>.  When we say that
  84  * the ordering imposed by <tt>c</tt> on <tt>S</tt> is <i>consistent with
  85  * equals</i>, we mean that the quotient for the ordering is the equivalence
  86  * relation defined by the objects' {@link Object#equals(Object)
  87  * equals(Object)} method(s):<pre>
  88  *     {(x, y) such that x.equals(y)}. </pre>
  89  *
  90  * <p>Unlike {@code Comparable}, a comparator may optionally permit
  91  * comparison of null arguments, while maintaining the requirements for
  92  * an equivalence relation.
  93  *
  94  * <p>This interface is a member of the
  95  * <a href="{@docRoot}/../technotes/guides/collections/index.html">
  96  * Java Collections Framework</a>.
  97  *
  98  * @param <T> the type of objects that may be compared by this comparator
  99  *
 100  * @author  Josh Bloch
 101  * @author  Neal Gafter
 102  * @see Comparable
 103  * @see java.io.Serializable
 104  * @since 1.2
 105  */
 106 @FunctionalInterface
 107 public interface Comparator<any T> {
 108     /**
 109      * Compares its two arguments for order.  Returns a negative integer,
 110      * zero, or a positive integer as the first argument is less than, equal
 111      * to, or greater than the second.<p>
 112      *
 113      * In the foregoing description, the notation
 114      * <tt>sgn(</tt><i>expression</i><tt>)</tt> designates the mathematical
 115      * <i>signum</i> function, which is defined to return one of <tt>-1</tt>,
 116      * <tt>0</tt>, or <tt>1</tt> according to whether the value of
 117      * <i>expression</i> is negative, zero or positive.<p>
 118      *
 119      * The implementor must ensure that <tt>sgn(compare(x, y)) ==
 120      * -sgn(compare(y, x))</tt> for all <tt>x</tt> and <tt>y</tt>.  (This
 121      * implies that <tt>compare(x, y)</tt> must throw an exception if and only
 122      * if <tt>compare(y, x)</tt> throws an exception.)<p>
 123      *
 124      * The implementor must also ensure that the relation is transitive:
 125      * <tt>((compare(x, y)&gt;0) &amp;&amp; (compare(y, z)&gt;0))</tt> implies
 126      * <tt>compare(x, z)&gt;0</tt>.<p>
 127      *
 128      * Finally, the implementor must ensure that <tt>compare(x, y)==0</tt>
 129      * implies that <tt>sgn(compare(x, z))==sgn(compare(y, z))</tt> for all
 130      * <tt>z</tt>.<p>
 131      *
 132      * It is generally the case, but <i>not</i> strictly required that
 133      * <tt>(compare(x, y)==0) == (x.equals(y))</tt>.  Generally speaking,
 134      * any comparator that violates this condition should clearly indicate
 135      * this fact.  The recommended language is "Note: this comparator
 136      * imposes orderings that are inconsistent with equals."
 137      *
 138      * @param o1 the first object to be compared.
 139      * @param o2 the second object to be compared.
 140      * @return a negative integer, zero, or a positive integer as the
 141      *         first argument is less than, equal to, or greater than the
 142      *         second.
 143      * @throws NullPointerException if an argument is null and this
 144      *         comparator does not permit null arguments
 145      * @throws ClassCastException if the arguments' types prevent them from
 146      *         being compared by this comparator.
 147      */
 148     int compare(T o1, T o2);
 149 
 150     /**
 151      * Indicates whether some other object is &quot;equal to&quot; this
 152      * comparator.  This method must obey the general contract of
 153      * {@link Object#equals(Object)}.  Additionally, this method can return
 154      * <tt>true</tt> <i>only</i> if the specified object is also a comparator
 155      * and it imposes the same ordering as this comparator.  Thus,
 156      * <code>comp1.equals(comp2)</code> implies that <tt>sgn(comp1.compare(o1,
 157      * o2))==sgn(comp2.compare(o1, o2))</tt> for every object reference
 158      * <tt>o1</tt> and <tt>o2</tt>.<p>
 159      *
 160      * Note that it is <i>always</i> safe <i>not</i> to override
 161      * <tt>Object.equals(Object)</tt>.  However, overriding this method may,
 162      * in some cases, improve performance by allowing programs to determine
 163      * that two distinct comparators impose the same order.
 164      *
 165      * @param   obj   the reference object with which to compare.
 166      * @return  <code>true</code> only if the specified object is also
 167      *          a comparator and it imposes the same ordering as this
 168      *          comparator.
 169      * @see Object#equals(Object)
 170      * @see Object#hashCode()
 171      */
 172     boolean equals(Object obj);
 173 
 174     /**
 175      * Returns a comparator that imposes the reverse ordering of this
 176      * comparator.
 177      *
 178      * @return a comparator that imposes the reverse ordering of this
 179      *         comparator.
 180      * @since 1.8
 181      */
 182     default Comparator<T> reversed() {
 183         return new Comparators.ReverseComparator<>(this);
 184     }
 185 
 186     /**
 187      * Returns a lexicographic-order comparator with another comparator.
 188      * If this {@code Comparator} considers two elements equal, i.e.
 189      * {@code compare(a, b) == 0}, {@code other} is used to determine the order.
 190      *
 191      * <p>The returned comparator is serializable if the specified comparator
 192      * is also serializable.
 193      *
 194      * @apiNote
 195      * For example, to sort a collection of {@code String} based on the length
 196      * and then case-insensitive natural ordering, the comparator can be
 197      * composed using following code,
 198      *
 199      * <pre>{@code
 200      *     Comparator<String> cmp = Comparator.comparingInt(String::length)
 201      *             .thenComparing(String.CASE_INSENSITIVE_ORDER);
 202      * }</pre>
 203      *
 204      * @param  other the other comparator to be used when this comparator
 205      *         compares two objects that are equal.
 206      * @return a lexicographic-order comparator composed of this and then the
 207      *         other comparator
 208      * @throws NullPointerException if the argument is null.
 209      * @since 1.8
 210      */
 211     default Comparator<T> thenComparing(Comparator<? super T> other) {
 212         Objects.requireNonNull(other);
 213         return (Comparator<T> & Serializable) (c1, c2) -> {
 214             int res = compare(c1, c2);
 215             return (res != 0) ? res : other.compare(c1, c2);
 216         };
 217     }
 218 
 219     /**
 220      * Returns a lexicographic-order comparator with a function that
 221      * extracts a key to be compared with the given {@code Comparator}.
 222      *
 223      * @implSpec This default implementation behaves as if {@code
 224      *           thenComparing(comparing(keyExtractor, cmp))}.
 225      *
 226      * @param  <U>  the type of the sort key
 227      * @param  keyExtractor the function used to extract the sort key
 228      * @param  keyComparator the {@code Comparator} used to compare the sort key
 229      * @return a lexicographic-order comparator composed of this comparator
 230      *         and then comparing on the key extracted by the keyExtractor function
 231      * @throws NullPointerException if either argument is null.
 232      * @see #comparing(Function, Comparator)
 233      * @see #thenComparing(Comparator)
 234      * @since 1.8
 235      */
 236     default <any U> Comparator<T> thenComparing(
 237             Function<? super T, ? extends U> keyExtractor,
 238             Comparator<? super U> keyComparator)
 239     {
 240         return thenComparing(comparing(keyExtractor, keyComparator));
 241     }
 242 
 243     /**
 244      * Returns a lexicographic-order comparator with a function that
 245      * extracts a {@code Comparable} sort key.
 246      *
 247      * @implSpec This default implementation behaves as if {@code
 248      *           thenComparing(comparing(keyExtractor))}.
 249      *
 250      * @param  <U>  the type of the {@link Comparable} sort key
 251      * @param  keyExtractor the function used to extract the {@link
 252      *         Comparable} sort key
 253      * @return a lexicographic-order comparator composed of this and then the
 254      *         {@link Comparable} sort key.
 255      * @throws NullPointerException if the argument is null.
 256      * @see #comparing(Function)
 257      * @see #thenComparing(Comparator)
 258      * @since 1.8
 259      */
 260     default <U extends Comparable<? super U>> Comparator<T> thenComparing(
 261             Function<? super T, ? extends U> keyExtractor)
 262     {
 263         return thenComparing(comparing(keyExtractor));
 264     }
 265 
 266     /**
 267      * Returns a lexicographic-order comparator with a function that
 268      * extracts a {@code int} sort key.
 269      *
 270      * @implSpec This default implementation behaves as if {@code
 271      *           thenComparing(comparingInt(keyExtractor))}.
 272      *
 273      * @param  keyExtractor the function used to extract the integer sort key
 274      * @return a lexicographic-order comparator composed of this and then the
 275      *         {@code int} sort key
 276      * @throws NullPointerException if the argument is null.
 277      * @see #comparingInt(Function)
 278      * @see #thenComparing(Comparator)
 279      * @since 1.8
 280      */
 281     default Comparator<T> thenComparingInt(Function<? super T, int> keyExtractor) {
 282         return thenComparing(comparingInt(keyExtractor));
 283     }
 284 
 285     /**
 286      * Returns a lexicographic-order comparator with a function that
 287      * extracts a {@code long} sort key.
 288      *
 289      * @implSpec This default implementation behaves as if {@code
 290      *           thenComparing(comparingLong(keyExtractor))}.
 291      *
 292      * @param  keyExtractor the function used to extract the long sort key
 293      * @return a lexicographic-order comparator composed of this and then the
 294      *         {@code long} sort key
 295      * @throws NullPointerException if the argument is null.
 296      * @see #comparingLong(Function)
 297      * @see #thenComparing(Comparator)
 298      * @since 1.8
 299      */
 300     default Comparator<T> thenComparingLong(Function<? super T, long> keyExtractor) {
 301         return thenComparing(comparingLong(keyExtractor));
 302     }
 303 
 304     /**
 305      * Returns a lexicographic-order comparator with a function that
 306      * extracts a {@code double} sort key.
 307      *
 308      * @implSpec This default implementation behaves as if {@code
 309      *           thenComparing(comparingDouble(keyExtractor))}.
 310      *
 311      * @param  keyExtractor the function used to extract the double sort key
 312      * @return a lexicographic-order comparator composed of this and then the
 313      *         {@code double} sort key
 314      * @throws NullPointerException if the argument is null.
 315      * @see #comparingDouble(Function)
 316      * @see #thenComparing(Comparator)
 317      * @since 1.8
 318      */
 319     default Comparator<T> thenComparingDouble(Function<? super T, double> keyExtractor) {
 320         return thenComparing(comparingDouble(keyExtractor));
 321     }
 322 
 323     /**
 324      * Returns a comparator that imposes the reverse of the <em>natural
 325      * ordering</em>.
 326      *
 327      * <p>The returned comparator is serializable and throws {@link
 328      * NullPointerException} when comparing {@code null}.
 329      *
 330      * @param  <T> the {@link Comparable} type of element to be compared
 331      * @return a comparator that imposes the reverse of the <i>natural
 332      *         ordering</i> on {@code Comparable} objects.
 333      * @see Comparable
 334      * @since 1.8
 335      */
 336     public static <any T> Comparator<T> reverseOrder() {
 337         return Comparators.<T>naturalOrder().reversed();
 338     }
 339 
 340     /**
 341      * Returns a comparator that compares {@link Comparable} objects in natural
 342      * order.
 343      *
 344      * <p>The returned comparator is serializable and throws {@link
 345      * NullPointerException} when comparing {@code null}.
 346      *
 347      * @param  <T> the {@link Comparable} type of element to be compared
 348      * @return a comparator that imposes the <i>natural ordering</i> on {@code
 349      *         Comparable} objects.
 350      * @see Comparable
 351      * @since 1.8
 352      */
 353     @SuppressWarnings("unchecked")
 354     public static <any T> Comparator<T> naturalOrder() {
 355         return Comparators.naturalOrder();
 356     }
 357 
 358     /**
 359      * Returns a null-friendly comparator that considers {@code null} to be
 360      * less than non-null. When both are {@code null}, they are considered
 361      * equal. If both are non-null, the specified {@code Comparator} is used
 362      * to determine the order. If the specified comparator is {@code null},
 363      * then the returned comparator considers all non-null values to be equal.
 364      *
 365      * <p>The returned comparator is serializable if the specified comparator
 366      * is serializable.
 367      *
 368      * @param  <T> the type of the elements to be compared
 369      * @param  comparator a {@code Comparator} for comparing non-null values
 370      * @return a comparator that considers {@code null} to be less than
 371      *         non-null, and compares non-null objects with the supplied
 372      *         {@code Comparator}.
 373      * @since 1.8
 374      */
 375     public static <T> Comparator<T> nullsFirst(Comparator<? super T> comparator) {
 376         return new Comparators.NullComparator<>(true, comparator);
 377     }
 378 
 379     /**
 380      * Returns a null-friendly comparator that considers {@code null} to be
 381      * greater than non-null. When both are {@code null}, they are considered
 382      * equal. If both are non-null, the specified {@code Comparator} is used
 383      * to determine the order. If the specified comparator is {@code null},
 384      * then the returned comparator considers all non-null values to be equal.
 385      *
 386      * <p>The returned comparator is serializable if the specified comparator
 387      * is serializable.
 388      *
 389      * @param  <T> the type of the elements to be compared
 390      * @param  comparator a {@code Comparator} for comparing non-null values
 391      * @return a comparator that considers {@code null} to be greater than
 392      *         non-null, and compares non-null objects with the supplied
 393      *         {@code Comparator}.
 394      * @since 1.8
 395      */
 396     public static <T> Comparator<T> nullsLast(Comparator<? super T> comparator) {
 397         return new Comparators.NullComparator<>(false, comparator);
 398     }
 399 
 400     /**
 401      * Accepts a function that extracts a sort key from a type {@code T}, and
 402      * returns a {@code Comparator<T>} that compares by that sort key using
 403      * the specified {@link Comparator}.
 404       *
 405      * <p>The returned comparator is serializable if the specified function
 406      * and comparator are both serializable.
 407      *
 408      * @apiNote
 409      * For example, to obtain a {@code Comparator} that compares {@code
 410      * Person} objects by their last name ignoring case differences,
 411      *
 412      * <pre>{@code
 413      *     Comparator<Person> cmp = Comparator.comparing(
 414      *             Person::getLastName,
 415      *             String.CASE_INSENSITIVE_ORDER);
 416      * }</pre>
 417      *
 418      * @param  <T> the type of element to be compared
 419      * @param  <U> the type of the sort key
 420      * @param  keyExtractor the function used to extract the sort key
 421      * @param  keyComparator the {@code Comparator} used to compare the sort key
 422      * @return a comparator that compares by an extracted key using the
 423      *         specified {@code Comparator}
 424      * @throws NullPointerException if either argument is null
 425      * @since 1.8
 426      */
 427     public static <any T, any U> Comparator<T> comparing(
 428             Function<? super T, ? extends U> keyExtractor,
 429             Comparator<? super U> keyComparator)
 430     {
 431         Objects.requireNonNull(keyExtractor);
 432         Objects.requireNonNull(keyComparator);
 433         return (Comparator<T> & Serializable)
 434             (c1, c2) -> keyComparator.compare(keyExtractor.apply(c1),
 435                                               keyExtractor.apply(c2));
 436     }
 437 
 438     /**
 439      * Accepts a function that extracts a {@link java.lang.Comparable
 440      * Comparable} sort key from a type {@code T}, and returns a {@code
 441      * Comparator<T>} that compares by that sort key.
 442      *
 443      * <p>The returned comparator is serializable if the specified function
 444      * is also serializable.
 445      *
 446      * @apiNote
 447      * For example, to obtain a {@code Comparator} that compares {@code
 448      * Person} objects by their last name,
 449      *
 450      * <pre>{@code
 451      *     Comparator<Person> byLastName = Comparator.comparing(Person::getLastName);
 452      * }</pre>
 453      *
 454      * @param  <T> the type of element to be compared
 455      * @param  <U> the type of the {@code Comparable} sort key
 456      * @param  keyExtractor the function used to extract the {@link
 457      *         Comparable} sort key
 458      * @return a comparator that compares by an extracted key
 459      * @throws NullPointerException if the argument is null
 460      * @since 1.8
 461      */
 462     public static <any T, U extends Comparable<? super U>> Comparator<T> comparing(
 463             Function<? super T, ? extends U> keyExtractor)
 464     {
 465         Objects.requireNonNull(keyExtractor);
 466         return (Comparator<T> & Serializable)
 467             (c1, c2) -> keyExtractor.apply(c1).compareTo(keyExtractor.apply(c2));
 468     }
 469 
 470     /**
 471      * Accepts a function that extracts an {@code int} sort key from a type
 472      * {@code T}, and returns a {@code Comparator<T>} that compares by that
 473      * sort key.
 474      *
 475      * <p>The returned comparator is serializable if the specified function
 476      * is also serializable.
 477      *
 478      * @param  <T> the type of element to be compared
 479      * @param  keyExtractor the function used to extract the integer sort key
 480      * @return a comparator that compares by an extracted key
 481      * @see #comparing(Function)
 482      * @throws NullPointerException if the argument is null
 483      * @since 1.8
 484      */
 485     public static <any T> Comparator<T> comparingInt(Function<? super T, int> keyExtractor) {
 486         Objects.requireNonNull(keyExtractor);
 487         return (Comparator<T> & Serializable)
 488             (c1, c2) -> Integer.compare(keyExtractor.apply(c1), keyExtractor.apply(c2));
 489     }
 490 
 491     /**
 492      * Accepts a function that extracts a {@code long} sort key from a type
 493      * {@code T}, and returns a {@code Comparator<T>} that compares by that
 494      * sort key.
 495      *
 496      * <p>The returned comparator is serializable if the specified function is
 497      * also serializable.
 498      *
 499      * @param  <T> the type of element to be compared
 500      * @param  keyExtractor the function used to extract the long sort key
 501      * @return a comparator that compares by an extracted key
 502      * @see #comparing(Function)
 503      * @throws NullPointerException if the argument is null
 504      * @since 1.8
 505      */
 506     public static <any T> Comparator<T> comparingLong(Function<? super T, long> keyExtractor) {
 507         Objects.requireNonNull(keyExtractor);
 508         return (Comparator<T> & Serializable)
 509             (c1, c2) -> Long.compare(keyExtractor.apply(c1), keyExtractor.apply(c2));
 510     }
 511 
 512     /**
 513      * Accepts a function that extracts a {@code double} sort key from a type
 514      * {@code T}, and returns a {@code Comparator<T>} that compares by that
 515      * sort key.
 516      *
 517      * <p>The returned comparator is serializable if the specified function
 518      * is also serializable.
 519      *
 520      * @param  <T> the type of element to be compared
 521      * @param  keyExtractor the function used to extract the double sort key
 522      * @return a comparator that compares by an extracted key
 523      * @see #comparing(Function)
 524      * @throws NullPointerException if the argument is null
 525      * @since 1.8
 526      */
 527     public static <any T> Comparator<T> comparingDouble(Function<? super T, double> keyExtractor) {
 528         Objects.requireNonNull(keyExtractor);
 529         return (Comparator<T> & Serializable)
 530             (c1, c2) -> Double.compare(keyExtractor.apply(c1), keyExtractor.apply(c2));
 531     }
 532 }