compact1, compact2, compact3
java.util

## Interface Comparator<T>

- Type Parameters:
    `T` - the type of objects that may be compared by this comparator
  All Known Implementing Classes:
    Collator, RuleBasedCollator
  Functional Interface:
    This is a functional interface and can therefore be used as the assignment target for a lambda expression or method reference.

      @FunctionalInterface
      public interface Comparator<T>

  A comparison function, which imposes a total ordering on some collection of objects. Comparators can be passed to a sort method (such as `Collections.sort` or `Arrays.sort`) to allow precise control over the sort order. Comparators can also be used to control the order of certain data structures (such as `sorted sets` or `sorted maps`), or to provide an ordering for collections of objects that don't have a `natural ordering`.

  The ordering imposed by a comparator `c` on a set of elements `S` is said to be consistent with equals if and only if `c.compare(e1, e2)==0` has the same boolean value as `e1.equals(e2)` for every `e1` and `e2` in `S`.

  Caution should be exercised when using a comparator capable of imposing an ordering inconsistent with equals to order a sorted set (or sorted map). Suppose a sorted set (or sorted map) with an explicit comparator `c` is used with elements (or keys) drawn from a set `S`. If the ordering imposed by `c` on `S` is inconsistent with equals, the sorted set (or sorted map) will behave "strangely." In particular the sorted set (or sorted map) will violate the general contract for set (or map), which is defined in terms of `equals`.

  For example, suppose one adds two elements `a` and `b` such that `(a.equals(b) && c.compare(a, b) != 0)` to an empty `TreeSet` with comparator `c`. The second `add` operation will return true (and the size of the tree set will increase) because `a` and `b` are not equivalent from the tree set's perspective, even though this is contrary to the specification of the `Set.add` method.

  Note: It is generally a good idea for comparators to also implement `java.io.Serializable`, as they may be used as ordering methods in serializable data structures (like `TreeSet`, `TreeMap`). In order for the data structure to serialize successfully, the comparator (if provided) must implement `Serializable`.

  For the mathematically inclined, the relation that defines the imposed ordering that a given comparator `c` imposes on a given set of objects `S` is:

             {(x, y) such that c.compare(x, y) <= 0}.

  The quotient for this total order is:

             {(x, y) such that c.compare(x, y) == 0}.

  It follows immediately from the contract for `compare` that the quotient is an equivalence relation on `S`, and that the imposed ordering is a total order on `S`. When we say that the ordering imposed by `c` on `S` is consistent with equals, we mean that the quotient for the ordering is the equivalence relation defined by the objects' `equals(Object)` method(s):

           {(x, y) such that x.equals(y)}.

  Unlike `Comparable`, a comparator may optionally permit comparison of null arguments, while maintaining the requirements for an equivalence relation.

  This interface is a member of the Java Collections Framework.

  Since:
    1.2
  See Also:
    `Comparable`, `Serializable`

- - ### Method Summary

    All Methods Static Methods Instance Methods Abstract Methods Default Methods
    Modifier and Type | Method and Description
    --- | ---
    `int` | `compare(T o1, T o2)` Compares its two arguments for order.
    `static <T,U extends Comparable<? super U>> Comparator<T>` | `comparing(Function<? super T,? extends U> keyExtractor)` Accepts a function that extracts a `Comparable` sort key from a type `T`, and returns a `Comparator<T>` that compares by that sort key.
    `static <T,U> Comparator<T>` | `comparing(Function<? super T,? extends U> keyExtractor, Comparator<? super U> keyComparator)` Accepts a function that extracts a sort key from a type `T`, and returns a `Comparator<T>` that compares by that sort key using the specified `Comparator`.
    `static <T> Comparator<T>` | `comparingDouble(ToDoubleFunction<? super T> keyExtractor)` Accepts a function that extracts a `double` sort key from a type `T`, and returns a `Comparator<T>` that compares by that sort key.
    `static <T> Comparator<T>` | `comparingInt(ToIntFunction<? super T> keyExtractor)` Accepts a function that extracts an `int` sort key from a type `T`, and returns a `Comparator<T>` that compares by that sort key.
    `static <T> Comparator<T>` | `comparingLong(ToLongFunction<? super T> keyExtractor)` Accepts a function that extracts a `long` sort key from a type `T`, and returns a `Comparator<T>` that compares by that sort key.
    `boolean` | `equals(Object obj)` Indicates whether some other object is "equal to" this comparator.
    `static <T extends Comparable<? super T>> Comparator<T>` | `naturalOrder()` Returns a comparator that compares `Comparable` objects in natural order.
    `static <T> Comparator<T>` | `nullsFirst(Comparator<? super T> comparator)` Returns a null-friendly comparator that considers `null` to be less than non-null.
    `static <T> Comparator<T>` | `nullsLast(Comparator<? super T> comparator)` Returns a null-friendly comparator that considers `null` to be greater than non-null.
    `default Comparator<T>` | `reversed()` Returns a comparator that imposes the reverse ordering of this comparator.
    `static <T extends Comparable<? super T>> Comparator<T>` | `reverseOrder()` Returns a comparator that imposes the reverse of the natural ordering.
    `default Comparator<T>` | `thenComparing(Comparator<? super T> other)` Returns a lexicographic-order comparator with another comparator.
    `default <U extends Comparable<? super U>> Comparator<T>` | `thenComparing(Function<? super T,? extends U> keyExtractor)` Returns a lexicographic-order comparator with a function that extracts a `Comparable` sort key.
    `default <U> Comparator<T>` | `thenComparing(Function<? super T,? extends U> keyExtractor, Comparator<? super U> keyComparator)` Returns a lexicographic-order comparator with a function that extracts a key to be compared with the given `Comparator`.
    `default Comparator<T>` | `thenComparingDouble(ToDoubleFunction<? super T> keyExtractor)` Returns a lexicographic-order comparator with a function that extracts a `double` sort key.
    `default Comparator<T>` | `thenComparingInt(ToIntFunction<? super T> keyExtractor)` Returns a lexicographic-order comparator with a function that extracts a `int` sort key.
    `default Comparator<T>` | `thenComparingLong(ToLongFunction<? super T> keyExtractor)` Returns a lexicographic-order comparator with a function that extracts a `long` sort key.

- - ### Method Detail

    - #### compare

          int compare(T o1,
                      T o2)

      Compares its two arguments for order. Returns a negative integer, zero, or a positive integer as the first argument is less than, equal to, or greater than the second.

      In the foregoing description, the notation `sgn(`expression`)` designates the mathematical signum function, which is defined to return one of `-1`, `0`, or `1` according to whether the value of expression is negative, zero or positive.

      The implementor must ensure that `sgn(compare(x, y)) == -sgn(compare(y, x))` for all `x` and `y`. (This implies that `compare(x, y)` must throw an exception if and only if `compare(y, x)` throws an exception.)

      The implementor must also ensure that the relation is transitive: `((compare(x, y)>0) && (compare(y, z)>0))` implies `compare(x, z)>0`.

      Finally, the implementor must ensure that `compare(x, y)==0` implies that `sgn(compare(x, z))==sgn(compare(y, z))` for all `z`.

      It is generally the case, but not strictly required that `(compare(x, y)==0) == (x.equals(y))`. Generally speaking, any comparator that violates this condition should clearly indicate this fact. The recommended language is "Note: this comparator imposes orderings that are inconsistent with equals."

      Parameters:
        `o1` - the first object to be compared.
        `o2` - the second object to be compared.
      Returns:
        a negative integer, zero, or a positive integer as the first argument is less than, equal to, or greater than the second.
      Throws:
        `NullPointerException` - if an argument is null and this comparator does not permit null arguments
        `ClassCastException` - if the arguments' types prevent them from being compared by this comparator.

    - #### equals

          boolean equals(Object obj)

      Indicates whether some other object is "equal to" this comparator. This method must obey the general contract of `Object.equals(Object)`. Additionally, this method can return `true` only if the specified object is also a comparator and it imposes the same ordering as this comparator. Thus, `comp1.equals(comp2)` implies that `sgn(comp1.compare(o1, o2))==sgn(comp2.compare(o1, o2))` for every object reference `o1` and `o2`.

      Note that it is always safe not to override `Object.equals(Object)`. However, overriding this method may, in some cases, improve performance by allowing programs to determine that two distinct comparators impose the same order.

      Overrides:
        `equals` in class `Object`
      Parameters:
        `obj` - the reference object with which to compare.
      Returns:
        `true` only if the specified object is also a comparator and it imposes the same ordering as this comparator.
      See Also:
        `Object.equals(Object)`, `Object.hashCode()`

    - #### reversed

          default Comparator<T> reversed()

      Returns a comparator that imposes the reverse ordering of this comparator.
      Returns:
        a comparator that imposes the reverse ordering of this comparator.
      Since:
        1.8

    - #### thenComparing

          default Comparator<T> thenComparing(Comparator<? super T> other)

      Returns a lexicographic-order comparator with another comparator. If this `Comparator` considers two elements equal, i.e. `compare(a, b) == 0`, `other` is used to determine the order.

      The returned comparator is serializable if the specified comparator is also serializable.

      API Note:
        For example, to sort a collection of `String` based on the length and then case-insensitive natural ordering, the comparator can be composed using following code,

                 Comparator<String> cmp = Comparator.comparingInt(String::length)
                         .thenComparing(String.CASE_INSENSITIVE_ORDER);

      Parameters:
        `other` - the other comparator to be used when this comparator compares two objects that are equal.
      Returns:
        a lexicographic-order comparator composed of this and then the other comparator
      Throws:
        `NullPointerException` - if the argument is null.
      Since:
        1.8

    - #### thenComparing

          default <U> Comparator<T> thenComparing(Function<? super T,? extends U> keyExtractor,
                                                  Comparator<? super U> keyComparator)

      Returns a lexicographic-order comparator with a function that extracts a key to be compared with the given `Comparator`.
      Implementation Requirements:
        This default implementation behaves as if `thenComparing(comparing(keyExtractor, cmp))`.
      Type Parameters:
        `U` - the type of the sort key
      Parameters:
        `keyExtractor` - the function used to extract the sort key
        `keyComparator` - the `Comparator` used to compare the sort key
      Returns:
        a lexicographic-order comparator composed of this comparator and then comparing on the key extracted by the keyExtractor function
      Throws:
        `NullPointerException` - if either argument is null.
      Since:
        1.8
      See Also:
        `comparing(Function, Comparator)`, `thenComparing(Comparator)`

    - #### thenComparing

          default <U extends Comparable<? super U>> Comparator<T> thenComparing(Function<? super T,? extends U> keyExtractor)

      Returns a lexicographic-order comparator with a function that extracts a `Comparable` sort key.
      Implementation Requirements:
        This default implementation behaves as if `thenComparing(comparing(keyExtractor))`.
      Type Parameters:
        `U` - the type of the `Comparable` sort key
      Parameters:
        `keyExtractor` - the function used to extract the `Comparable` sort key
      Returns:
        a lexicographic-order comparator composed of this and then the `Comparable` sort key.
      Throws:
        `NullPointerException` - if the argument is null.
      Since:
        1.8
      See Also:
        `comparing(Function)`, `thenComparing(Comparator)`

    - #### thenComparingInt

          default Comparator<T> thenComparingInt(ToIntFunction<? super T> keyExtractor)

      Returns a lexicographic-order comparator with a function that extracts a `int` sort key.
      Implementation Requirements:
        This default implementation behaves as if `thenComparing(comparingInt(keyExtractor))`.
      Parameters:
        `keyExtractor` - the function used to extract the integer sort key
      Returns:
        a lexicographic-order comparator composed of this and then the `int` sort key
      Throws:
        `NullPointerException` - if the argument is null.
      Since:
        1.8
      See Also:
        `comparingInt(ToIntFunction)`, `thenComparing(Comparator)`

    - #### thenComparingLong

          default Comparator<T> thenComparingLong(ToLongFunction<? super T> keyExtractor)

      Returns a lexicographic-order comparator with a function that extracts a `long` sort key.
      Implementation Requirements:
        This default implementation behaves as if `thenComparing(comparingLong(keyExtractor))`.
      Parameters:
        `keyExtractor` - the function used to extract the long sort key
      Returns:
        a lexicographic-order comparator composed of this and then the `long` sort key
      Throws:
        `NullPointerException` - if the argument is null.
      Since:
        1.8
      See Also:
        `comparingLong(ToLongFunction)`, `thenComparing(Comparator)`

    - #### thenComparingDouble

          default Comparator<T> thenComparingDouble(ToDoubleFunction<? super T> keyExtractor)

      Returns a lexicographic-order comparator with a function that extracts a `double` sort key.
      Implementation Requirements:
        This default implementation behaves as if `thenComparing(comparingDouble(keyExtractor))`.
      Parameters:
        `keyExtractor` - the function used to extract the double sort key
      Returns:
        a lexicographic-order comparator composed of this and then the `double` sort key
      Throws:
        `NullPointerException` - if the argument is null.
      Since:
        1.8
      See Also:
        `comparingDouble(ToDoubleFunction)`, `thenComparing(Comparator)`

    - #### reverseOrder

          static <T extends Comparable<? super T>> Comparator<T> reverseOrder()

      Returns a comparator that imposes the reverse of the natural ordering.

      The returned comparator is serializable and throws `NullPointerException` when comparing `null`.

      Type Parameters:
        `T` - the `Comparable` type of element to be compared
      Returns:
        a comparator that imposes the reverse of the natural ordering on `Comparable` objects.
      Since:
        1.8
      See Also:
        `Comparable`

    - #### naturalOrder

          static <T extends Comparable<? super T>> Comparator<T> naturalOrder()

      Returns a comparator that compares `Comparable` objects in natural order.

      The returned comparator is serializable and throws `NullPointerException` when comparing `null`.

      Type Parameters:
        `T` - the `Comparable` type of element to be compared
      Returns:
        a comparator that imposes the natural ordering on `Comparable` objects.
      Since:
        1.8
      See Also:
        `Comparable`

    - #### nullsFirst

          static <T> Comparator<T> nullsFirst(Comparator<? super T> comparator)

      Returns a null-friendly comparator that considers `null` to be less than non-null. When both are `null`, they are considered equal. If both are non-null, the specified `Comparator` is used to determine the order. If the specified comparator is `null`, then the returned comparator considers all non-null values to be equal.

      The returned comparator is serializable if the specified comparator is serializable.

      Type Parameters:
        `T` - the type of the elements to be compared
      Parameters:
        `comparator` - a `Comparator` for comparing non-null values
      Returns:
        a comparator that considers `null` to be less than non-null, and compares non-null objects with the supplied `Comparator`.
      Since:
        1.8

    - #### nullsLast

          static <T> Comparator<T> nullsLast(Comparator<? super T> comparator)

      Returns a null-friendly comparator that considers `null` to be greater than non-null. When both are `null`, they are considered equal. If both are non-null, the specified `Comparator` is used to determine the order. If the specified comparator is `null`, then the returned comparator considers all non-null values to be equal.

      The returned comparator is serializable if the specified comparator is serializable.

      Type Parameters:
        `T` - the type of the elements to be compared
      Parameters:
        `comparator` - a `Comparator` for comparing non-null values
      Returns:
        a comparator that considers `null` to be greater than non-null, and compares non-null objects with the supplied `Comparator`.
      Since:
        1.8

    - #### comparing

          static <T,U> Comparator<T> comparing(Function<? super T,? extends U> keyExtractor,
                                               Comparator<? super U> keyComparator)

      Accepts a function that extracts a sort key from a type `T`, and returns a `Comparator<T>` that compares by that sort key using the specified `Comparator`.

      The returned comparator is serializable if the specified function and comparator are both serializable.

      API Note:
        For example, to obtain a `Comparator` that compares `Person` objects by their last name ignoring case differences,

                 Comparator<Person> cmp = Comparator.comparing(
                         Person::getLastName,
                         String.CASE_INSENSITIVE_ORDER);

      Type Parameters:
        `T` - the type of element to be compared
        `U` - the type of the sort key
      Parameters:
        `keyExtractor` - the function used to extract the sort key
        `keyComparator` - the `Comparator` used to compare the sort key
      Returns:
        a comparator that compares by an extracted key using the specified `Comparator`
      Throws:
        `NullPointerException` - if either argument is null
      Since:
        1.8

    - #### comparing

          static <T,U extends Comparable<? super U>> Comparator<T> comparing(Function<? super T,? extends U> keyExtractor)

      Accepts a function that extracts a `Comparable` sort key from a type `T`, and returns a `Comparator<T>` that compares by that sort key.

      The returned comparator is serializable if the specified function is also serializable.

      API Note:
        For example, to obtain a `Comparator` that compares `Person` objects by their last name,

                 Comparator<Person> byLastName = Comparator.comparing(Person::getLastName);

      Type Parameters:
        `T` - the type of element to be compared
        `U` - the type of the `Comparable` sort key
      Parameters:
        `keyExtractor` - the function used to extract the `Comparable` sort key
      Returns:
        a comparator that compares by an extracted key
      Throws:
        `NullPointerException` - if the argument is null
      Since:
        1.8

    - #### comparingInt

          static <T> Comparator<T> comparingInt(ToIntFunction<? super T> keyExtractor)

      Accepts a function that extracts an `int` sort key from a type `T`, and returns a `Comparator<T>` that compares by that sort key.

      The returned comparator is serializable if the specified function is also serializable.

      Type Parameters:
        `T` - the type of element to be compared
      Parameters:
        `keyExtractor` - the function used to extract the integer sort key
      Returns:
        a comparator that compares by an extracted key
      Throws:
        `NullPointerException` - if the argument is null
      Since:
        1.8
      See Also:
        `comparing(Function)`

    - #### comparingLong

          static <T> Comparator<T> comparingLong(ToLongFunction<? super T> keyExtractor)

      Accepts a function that extracts a `long` sort key from a type `T`, and returns a `Comparator<T>` that compares by that sort key.

      The returned comparator is serializable if the specified function is also serializable.

      Type Parameters:
        `T` - the type of element to be compared
      Parameters:
        `keyExtractor` - the function used to extract the long sort key
      Returns:
        a comparator that compares by an extracted key
      Throws:
        `NullPointerException` - if the argument is null
      Since:
        1.8
      See Also:
        `comparing(Function)`

    - #### comparingDouble

          static <T> Comparator<T> comparingDouble(ToDoubleFunction<? super T> keyExtractor)

      Accepts a function that extracts a `double` sort key from a type `T`, and returns a `Comparator<T>` that compares by that sort key.

      The returned comparator is serializable if the specified function is also serializable.

      Type Parameters:
        `T` - the type of element to be compared
      Parameters:
        `keyExtractor` - the function used to extract the double sort key
      Returns:
        a comparator that compares by an extracted key
      Throws:
        `NullPointerException` - if the argument is null
      Since:
        1.8
      See Also:
        `comparing(Function)`

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