Interface Tree<T>

  • Type Parameters:
    T - component type of this Tree
    All Superinterfaces:
    Foldable<T>, java.lang.Iterable<T>, java.io.Serializable, Traversable<T>, Value<T>
    All Known Implementing Classes:
    Tree.Empty, Tree.Node

    public interface Tree<T>
    extends Traversable<T>, java.io.Serializable
    A general Tree interface.
    • Nested Class Summary

      Nested Classes 
      Modifier and Type Interface Description
      static class  Tree.Empty<T>
      The empty tree.
      static class  Tree.Node<T>
      Represents a tree node.
      static class  Tree.Order
      Tree traversal order.
    • Field Summary

      Fields 
      Modifier and Type Field Description
      static long serialVersionUID
      The serial version UID for serialization.
    • Method Summary

      All Methods Static Methods Instance Methods Abstract Methods Default Methods 
      Modifier and Type Method Description
      default int branchCount()
      Counts the number of branches of this tree.
      static <T,​ID>
      List<Tree.Node<T>>
      build​(@NonNull java.lang.Iterable<? extends T> source, @NonNull java.util.function.Function<? super T,​? extends ID> idMapper, @NonNull java.util.function.Function<? super T,​? extends ID> parentMapper)
      Build a List with roots of Tree from flat source.
      default <R> Tree<R> collect​(@NonNull PartialFunction<? super T,​? extends R> partialFunction)
      Applies a PartialFunction to all elements that are defined for it and collects the results.
      static <T> java.util.stream.Collector<T,​java.util.ArrayList<T>,​Tree<T>> collector()
      Returns a Collector which may be used in conjunction with Stream.collect(java.util.stream.Collector) to obtain a Tree.
      default Seq<T> distinct()
      Returns a new Traversable containing the elements of this instance with all duplicates removed.
      default Seq<T> distinctBy​(@NonNull java.util.Comparator<? super T> comparator)
      Returns a new Traversable containing the elements of this instance without duplicates, as determined by the given comparator.
      default <U> Seq<T> distinctBy​(@NonNull java.util.function.Function<? super T,​? extends U> keyExtractor)
      Returns a new Traversable containing the elements of this instance without duplicates, based on keys extracted from elements using keyExtractor.
      java.lang.String draw()
      Creates a neat 2-dimensional drawing of a tree.
      default Seq<T> drop​(int n)
      Returns a new Traversable without the first n elements, or an empty instance if this contains fewer than n elements.
      default Seq<T> dropRight​(int n)
      Returns a new Traversable without the last n elements, or an empty instance if this contains fewer than n elements.
      default Seq<T> dropUntil​(@NonNull java.util.function.Predicate<? super T> predicate)
      Returns a new Traversable starting from the first element that satisfies the given predicate, dropping all preceding elements.
      default Seq<T> dropWhile​(@NonNull java.util.function.Predicate<? super T> predicate)
      Returns a new Traversable starting from the first element that does not satisfy the given predicate, dropping all preceding elements.
      static <T> Tree.Empty<T> empty()
      Returns the singleton empty tree.
      boolean equals​(java.lang.Object o)
      Determines whether this collection is equal to the given object.
      static <T> Tree<T> fill​(int n, @NonNull java.util.function.Supplier<? extends T> s)
      Returns a Tree containing n values supplied by a given Supplier s.
      static <T> Tree<T> fill​(int n, T element)
      Returns a Tree containing n times the given element
      default Seq<T> filter​(@NonNull java.util.function.Predicate<? super T> predicate)
      Returns a new traversable containing only the elements that satisfy the given predicate.
      default <U> Tree<U> flatMap​(@NonNull java.util.function.Function<? super T,​? extends java.lang.Iterable<? extends U>> mapper)
      Transforms each element of this Traversable into an Iterable of elements and flattens the resulting iterables into a single Traversable.
      default <U> U foldRight​(U zero, @NonNull java.util.function.BiFunction<? super T,​? super U,​? extends U> f)
      Folds the elements of this structure from the right, starting with the given zero value and successively applying the combine function to each element.
      List<Tree.Node<T>> getChildren()
      Returns the children of this tree.
      T getValue()
      Gets the value of this tree.
      default <C> Map<C,​Seq<T>> groupBy​(@NonNull java.util.function.Function<? super T,​? extends C> classifier)
      Groups elements of this Traversable based on a classifier function.
      default Iterator<Seq<T>> grouped​(int size)
      Splits this Traversable into consecutive blocks of the given size.
      default boolean hasDefiniteSize()
      Indicates whether this Traversable has a known finite size.
      int hashCode()
      Returns the hash code of this collection.
      default T head()
      Returns the first element of this non-empty Traversable.
      default Seq<T> init()
      Returns all elements of this Traversable except the last one.
      default Option<Seq<T>> initOption()
      Returns all elements of this Traversable except the last one, wrapped in an Option.
      default boolean isAsync()
      A Tree is computed synchronously.
      default boolean isBranch()
      Checks if this Tree is a branch.
      default boolean isDistinct()
      Indicates whether this Traversable may contain only distinct elements.
      default boolean isLazy()
      A Tree is computed eagerly.
      boolean isLeaf()
      Checks if this Tree is a leaf.
      default boolean isSequential()
      Indicates whether the elements of this Traversable appear in encounter (insertion) order.
      default boolean isTraversableAgain()
      Checks if this Traversable can be traversed multiple times without side effects.
      default @NonNull Iterator<T> iterator()
      Returns an iterator over the elements of this Traversable, implemented via Traversable.head() and Traversable.tail().
      default Iterator<T> iterator​(Tree.Order order)
      Traverses this tree values in a specific Tree.Order.
      default int leafCount()
      Counts the number of leaves of this tree.
      default <U> Tree<U> map​(@NonNull java.util.function.Function<? super T,​? extends U> mapper)
      Transforms the elements of this Traversable to a new type, preserving order if defined.
      default <U> Tree<U> mapTo​(U value)
      Maps the underlying value to another fixed value.
      default Tree<java.lang.Void> mapToVoid()
      Maps the underlying value to Void
      static <T> Tree<T> narrow​(Tree<? extends T> tree)
      Narrows a widened Tree<? extends T> to Tree<T> by performing a type-safe cast.
      default int nodeCount()
      Counts the number of nodes (i.e.
      static <T> Tree.Node<T> of​(T value)
      Returns a new Node containing the given value and having no children.
      static <T> Tree<T> of​(T @NonNull ... values)
      Creates a Tree of the given elements.
      static <T> Tree.Node<T> of​(T value, @NonNull Tree.Node<T> @NonNull ... children)
      Returns a new Node containing the given value and having the given children.
      static <T> Tree.Node<T> of​(T value, @NonNull java.lang.Iterable<Tree.Node<T>> children)
      Returns a new Node containing the given value and having the given children.
      static <T> Tree<T> ofAll​(@NonNull java.lang.Iterable<? extends T> iterable)
      Creates a Tree of the given elements.
      static <T> Tree<T> ofAll​(@NonNull java.util.stream.Stream<? extends T> javaStream)
      Creates a Tree that contains the elements of the given Stream.
      default Tree<T> orElse​(@NonNull java.lang.Iterable<? extends T> other)
      Returns this Traversable if it is non-empty; otherwise, returns the given alternative.
      default Tree<T> orElse​(@NonNull java.util.function.Supplier<? extends java.lang.Iterable<? extends T>> supplier)
      Returns this Traversable if it is non-empty; otherwise, returns the result of evaluating the given supplier.
      default Tuple2<Seq<T>,​Seq<T>> partition​(@NonNull java.util.function.Predicate<? super T> predicate)
      Splits this Traversable into two partitions according to a predicate.
      default Tree<T> peek​(@NonNull java.util.function.Consumer<? super T> action)
      Performs the given action on the first element if this is an eager implementation.
      static <T> Tree.Node<T> recurse​(T seed, @NonNull java.util.function.Function<? super T,​? extends java.lang.Iterable<? extends T>> descend)
      Recursively builds a non-empty Tree, starting with the given seed value and proceeding in depth-first order.
      default Seq<T> reject​(@NonNull java.util.function.Predicate<? super T> predicate)
      Returns a new traversable containing only the elements that do not satisfy the given predicate.
      default Tree<T> replace​(T currentElement, T newElement)
      Replaces the first occurrence of currentElement with newElement, if it exists.
      default Tree<T> replaceAll​(T currentElement, T newElement)
      Replaces all occurrences of currentElement with newElement.
      default Seq<T> retainAll​(@NonNull java.lang.Iterable<? extends T> elements)
      Retains only the elements from this Traversable that are contained in the given elements.
      default Seq<T> scan​(T zero, @NonNull java.util.function.BiFunction<? super T,​? super T,​? extends T> operation)
      Computes a prefix scan of the elements of this Traversable.
      default <U> Seq<U> scanLeft​(U zero, @NonNull java.util.function.BiFunction<? super U,​? super T,​? extends U> operation)
      Produces a collection containing cumulative results of applying the operator from left to right.
      default <U> Seq<U> scanRight​(U zero, @NonNull java.util.function.BiFunction<? super T,​? super U,​? extends U> operation)
      Produces a collection containing cumulative results of applying the operator from right to left.
      default Iterator<Seq<T>> slideBy​(@NonNull java.util.function.Function<? super T,​?> classifier)
      Partitions this Traversable into consecutive non-overlapping windows according to a classification function.
      default Iterator<Seq<T>> sliding​(int size)
      Slides a window of a given size over this Traversable with a step size of 1.
      default Iterator<Seq<T>> sliding​(int size, int step)
      Slides a window of a specific size with a given step over this Traversable.
      default Tuple2<Seq<T>,​Seq<T>> span​(@NonNull java.util.function.Predicate<? super T> predicate)
      Splits this Traversable into a prefix and remainder according to the given predicate.
      default java.lang.String stringPrefix()
      Returns the name of this Value type, which is used by toString().
      static <T> Tree<T> tabulate​(int n, @NonNull java.util.function.Function<? super java.lang.Integer,​? extends T> f)
      Returns a Tree containing n values of a given Function f over a range of integer values from 0 to n - 1.
      default Seq<T> tail()
      Returns a new Traversable without its first element.
      default Option<Seq<T>> tailOption()
      Returns a new Traversable without its first element as an Option.
      default Seq<T> take​(int n)
      Returns the first n elements of this Traversable, or all elements if n exceeds the length.
      default Seq<T> takeRight​(int n)
      Returns the last n elements of this Traversable, or all elements if n exceeds the length.
      default Seq<T> takeUntil​(@NonNull java.util.function.Predicate<? super T> predicate)
      Takes elements from this Traversable until the given predicate holds for an element.
      default Seq<T> takeWhile​(@NonNull java.util.function.Predicate<? super T> predicate)
      Takes elements from this Traversable while the given predicate holds.
      java.lang.String toLispString()
      Creates a Lisp-like representation of this Tree.
      java.lang.String toString()
      Clarifies that values have a proper toString() method implemented.
      default <U> U transform​(@NonNull java.util.function.Function<? super Tree<T>,​? extends U> f)
      Transforms this Tree.
      default Seq<Tree.Node<T>> traverse()
      Traverses this tree in Tree.Order.PRE_ORDER.
      default Seq<Tree.Node<T>> traverse​(@NonNull Tree.Order order)
      Traverses this tree in a specific order.
      default <T1,​T2>
      Tuple2<Tree<T1>,​Tree<T2>>
      unzip​(@NonNull java.util.function.Function<? super T,​Tuple2<? extends T1,​? extends T2>> unzipper)
      Unzips the elements of this Traversable by mapping each element to a pair and splitting them into two separate Traversable collections.
      default <T1,​T2,​T3>
      Tuple3<Tree<T1>,​Tree<T2>,​Tree<T3>>
      unzip3​(@NonNull java.util.function.Function<? super T,​Tuple3<? extends T1,​? extends T2,​? extends T3>> unzipper)
      Unzips the elements of this Traversable by mapping each element to a triple and splitting them into three separate Traversable collections.
      default Seq<T> values()
      Traverses this tree values in Tree.Order.PRE_ORDER.
      default Seq<T> values​(@NonNull Tree.Order order)
      Traverses this tree values in a specific order.
      default <U> Tree<Tuple2<T,​U>> zip​(@NonNull java.lang.Iterable<? extends U> that)
      Returns a Traversable formed by pairing elements of this Traversable with elements of another Iterable.
      default <U> Tree<Tuple2<T,​U>> zipAll​(@NonNull java.lang.Iterable<? extends U> that, T thisElem, U thatElem)
      Returns a Traversable formed by pairing elements of this Traversable with elements of another Iterable, filling in placeholder elements when one collection is shorter than the other.
      default <U,​R>
      Tree<R>
      zipWith​(@NonNull java.lang.Iterable<? extends U> that, java.util.function.BiFunction<? super T,​? super U,​? extends R> mapper)
      Returns a Traversable by combining elements of this Traversable with elements of another Iterable using a mapping function.
      default Tree<Tuple2<T,​java.lang.Integer>> zipWithIndex()
      Zips this Traversable with its indices, starting at 0.
      default <U> Tree<U> zipWithIndex​(@NonNull java.util.function.BiFunction<? super T,​? super java.lang.Integer,​? extends U> mapper)
      Zips this Traversable with its indices and maps the resulting pairs using the provided mapper.
    • Field Detail

      • serialVersionUID

        static final long serialVersionUID
        The serial version UID for serialization.
        See Also:
        Constant Field Values
    • Method Detail

      • collector

        static <T> java.util.stream.Collector<T,​java.util.ArrayList<T>,​Tree<T>> collector()
        Returns a Collector which may be used in conjunction with Stream.collect(java.util.stream.Collector) to obtain a Tree.
        Type Parameters:
        T - Component type of the Tree.
        Returns:
        A io.vavr.collection.Tree Collector.
      • empty

        static <T> Tree.Empty<T> empty()
        Returns the singleton empty tree.
        Type Parameters:
        T - Type of tree values.
        Returns:
        The empty tree.
      • narrow

        static <T> Tree<T> narrow​(Tree<? extends T> tree)
        Narrows a widened Tree<? extends T> to Tree<T> by performing a type-safe cast. This is eligible because immutable/read-only collections are covariant.
        Type Parameters:
        T - Component type of the Tree.
        Parameters:
        tree - An Tree.
        Returns:
        the given tree instance as narrowed type Tree<T>.
      • of

        static <T> Tree.Node<T> of​(T value)
        Returns a new Node containing the given value and having no children.
        Type Parameters:
        T - Value type
        Parameters:
        value - A value
        Returns:
        A new Node instance.
      • of

        @SafeVarargs
        static <T> Tree.Node<T> of​(T value,
                                   @NonNull Tree.Node<T> @NonNull ... children)
        Returns a new Node containing the given value and having the given children.
        Type Parameters:
        T - Value type
        Parameters:
        value - A value
        children - The child nodes, possibly empty
        Returns:
        A new Node instance.
      • of

        static <T> Tree.Node<T> of​(T value,
                                   @NonNull java.lang.Iterable<Tree.Node<T>> children)
        Returns a new Node containing the given value and having the given children.
        Type Parameters:
        T - Value type
        Parameters:
        value - A value
        children - The child nodes, possibly empty
        Returns:
        A new Node instance.
      • of

        @SafeVarargs
        static <T> Tree<T> of​(T @NonNull ... values)
        Creates a Tree of the given elements.
        Type Parameters:
        T - Component type of the List.
        Parameters:
        values - Zero or more values.
        Returns:
        A Tree containing the given values.
        Throws:
        java.lang.NullPointerException - if values is null
      • ofAll

        static <T> Tree<T> ofAll​(@NonNull java.lang.Iterable<? extends T> iterable)
        Creates a Tree of the given elements.

        If the given iterable is a tree, it is returned as result. if the iteration order of the elements is stable.

        Type Parameters:
        T - Component type of the List.
        Parameters:
        iterable - An Iterable of elements.
        Returns:
        A list containing the given elements in the same order.
        Throws:
        java.lang.NullPointerException - if elements is null
      • ofAll

        static <T> Tree<T> ofAll​(@NonNull java.util.stream.Stream<? extends T> javaStream)
        Creates a Tree that contains the elements of the given Stream.
        Type Parameters:
        T - Component type of the Stream.
        Parameters:
        javaStream - A Stream
        Returns:
        A Tree containing the given elements in the same order.
      • tabulate

        static <T> Tree<T> tabulate​(int n,
                                    @NonNull java.util.function.Function<? super java.lang.Integer,​? extends T> f)
        Returns a Tree containing n values of a given Function f over a range of integer values from 0 to n - 1.
        Type Parameters:
        T - Component type of the Tree
        Parameters:
        n - The number of elements in the Tree
        f - The Function computing element values
        Returns:
        A Tree consisting of elements f(0),f(1), ..., f(n - 1)
        Throws:
        java.lang.NullPointerException - if f is null
      • fill

        static <T> Tree<T> fill​(int n,
                                @NonNull java.util.function.Supplier<? extends T> s)
        Returns a Tree containing n values supplied by a given Supplier s.
        Type Parameters:
        T - Component type of the Tree
        Parameters:
        n - The number of elements in the Tree
        s - The Supplier computing element values
        Returns:
        A Tree of size n, where each element contains the result supplied by s.
        Throws:
        java.lang.NullPointerException - if s is null
      • fill

        static <T> Tree<T> fill​(int n,
                                T element)
        Returns a Tree containing n times the given element
        Type Parameters:
        T - Component type of the Tree
        Parameters:
        n - The number of elements in the Tree
        element - The element
        Returns:
        A Tree of size n, where each element is the given element.
      • recurse

        static <T> Tree.Node<T> recurse​(T seed,
                                        @NonNull java.util.function.Function<? super T,​? extends java.lang.Iterable<? extends T>> descend)
        Recursively builds a non-empty Tree, starting with the given seed value and proceeding in depth-first order.

        The children of a node are created by

        1. applying the descend function to the node value
        2. calling this method recursively by using each derived child value as new seed (in iteration order).

        Example:

        
         // = (1 (2 4 5) 3)
         Tree.recurse(1, i ->
           (i == 1) ? List.of(2, 3) :
           (i == 2) ? List.(4, 5) :
           List.empty()
         ).toLispString();
         
        Type Parameters:
        T - Value type
        Parameters:
        seed - The start value for the Tree
        descend - A function to calculate the child values
        Returns:
        a new, non-empty Tree instance
        Throws:
        java.lang.NullPointerException - if descend is null
      • build

        static <T,​ID> List<Tree.Node<T>> build​(@NonNull java.lang.Iterable<? extends T> source,
                                                     @NonNull java.util.function.Function<? super T,​? extends ID> idMapper,
                                                     @NonNull java.util.function.Function<? super T,​? extends ID> parentMapper)
        Build a List with roots of Tree from flat source.

        parentMapper must return null for root element.

        
          // = [(1, null, "I"), (2, 1, "II"), (3, 1, "III"), (4, 2, "IV"), (5, 2, "V")]
          List<MenuItem> items = ...; // MenuItem(id, parentId, label)
        
          //      I
          //     / \
          //   II  III
          //   /\
          //  IV V
          Tree<MenuItem> menu = Tree.build(items, MenuItem::getId, MenuItem::getParentId);
         
        Type Parameters:
        T - Value type
        ID - Id type
        Parameters:
        source - Flat source
        idMapper - A mapper from source item to unique identifier of that item
        parentMapper - A mapper from source item to unique identifier of parent item. Need return null for root items
        Returns:
        a new, maybe empty List instance with non-empty Tree instances
        Throws:
        java.lang.NullPointerException - if source, idMapper or parentMapper is null
      • collect

        default <R> Tree<R> collect​(@NonNull PartialFunction<? super T,​? extends R> partialFunction)
        Description copied from interface: Traversable
        Applies a PartialFunction to all elements that are defined for it and collects the results.

        For each element in iteration order, the function is first tested:

        
         partialFunction.isDefinedAt(element)
         
        If true, the element is mapped to type R:
        
         R newElement = partialFunction.apply(element)
         

        Note: If this Traversable is ordered (i.e., extends Ordered), the caller must ensure that the resulting elements are comparable (i.e., implement Comparable).

        Specified by:
        collect in interface Traversable<T>
        Type Parameters:
        R - the type of elements in the resulting Traversable
        Parameters:
        partialFunction - a function that may not be defined for all elements of this traversable
        Returns:
        a new Traversable containing the results of applying the partial function
      • getValue

        T getValue()
        Gets the value of this tree.
        Returns:
        The value of this tree.
        Throws:
        java.lang.UnsupportedOperationException - if this tree is empty
      • getChildren

        List<Tree.Node<T>> getChildren()
        Returns the children of this tree.
        Returns:
        the tree's children
      • isLeaf

        boolean isLeaf()
        Checks if this Tree is a leaf. A tree is a leaf if it is a Node with no children. Because the empty tree is no Node, it is not a leaf by definition.
        Returns:
        true if this tree is a leaf, false otherwise.
      • isBranch

        default boolean isBranch()
        Checks if this Tree is a branch. A Tree is a branch if it is a Node which has children. Because the empty tree is not a Node, it is not a branch by definition.
        Returns:
        true if this tree is a branch, false otherwise.
      • isAsync

        default boolean isAsync()
        A Tree is computed synchronously.
        Specified by:
        isAsync in interface Value<T>
        Returns:
        false
      • isDistinct

        default boolean isDistinct()
        Description copied from interface: Traversable
        Indicates whether this Traversable may contain only distinct elements.
        Specified by:
        isDistinct in interface Traversable<T>
        Returns:
        true if this Traversable may contain only distinct elements, false otherwise
      • isLazy

        default boolean isLazy()
        A Tree is computed eagerly.
        Specified by:
        isLazy in interface Value<T>
        Returns:
        false
      • isSequential

        default boolean isSequential()
        Description copied from interface: Traversable
        Indicates whether the elements of this Traversable appear in encounter (insertion) order.
        Specified by:
        isSequential in interface Traversable<T>
        Returns:
        true if insertion order is preserved, false otherwise
      • iterator

        default Iterator<T> iterator​(Tree.Order order)
        Traverses this tree values in a specific Tree.Order.
        Parameters:
        order - A traversal order
        Returns:
        A new Iterator
      • toLispString

        java.lang.String toLispString()
        Creates a Lisp-like representation of this Tree.
        Returns:
        This Tree as Lisp-string, i.e. represented as list of lists.
      • transform

        default <U> U transform​(@NonNull java.util.function.Function<? super Tree<T>,​? extends U> f)
        Transforms this Tree.
        Type Parameters:
        U - Type of transformation result
        Parameters:
        f - A transformation
        Returns:
        An instance of type U
        Throws:
        java.lang.NullPointerException - if f is null
      • traverse

        default Seq<Tree.Node<T>> traverse​(@NonNull Tree.Order order)
        Traverses this tree in a specific order.
        Parameters:
        order - the tree traversal order
        Returns:
        A sequence of nodes.
        Throws:
        java.lang.NullPointerException - if order is null
      • values

        default Seq<T> values()
        Traverses this tree values in Tree.Order.PRE_ORDER. Syntactic sugar for traverse().map(Node::getValue).
        Returns:
        A sequence of the tree values.
      • values

        default Seq<T> values​(@NonNull Tree.Order order)
        Traverses this tree values in a specific order. Syntactic sugar for traverse(order).map(Node::getValue).
        Parameters:
        order - the tree traversal order
        Returns:
        A sequence of the tree values.
        Throws:
        java.lang.NullPointerException - if order is null
      • branchCount

        default int branchCount()
        Counts the number of branches of this tree. The empty tree and a leaf have no branches.
        Returns:
        The number of branches of this tree.
      • leafCount

        default int leafCount()
        Counts the number of leaves of this tree. The empty tree has no leaves.
        Returns:
        The number of leaves of this tree.
      • nodeCount

        default int nodeCount()
        Counts the number of nodes (i.e. branches and leaves) of this tree. The empty tree has no nodes.
        Returns:
        The number of nodes of this tree.
      • distinct

        default Seq<T> distinct()
        Description copied from interface: Traversable
        Returns a new Traversable containing the elements of this instance with all duplicates removed. Element equality is determined using equals.
        Specified by:
        distinct in interface Traversable<T>
        Returns:
        a new Traversable without duplicate elements
      • distinctBy

        default Seq<T> distinctBy​(@NonNull java.util.Comparator<? super T> comparator)
        Description copied from interface: Traversable
        Returns a new Traversable containing the elements of this instance without duplicates, as determined by the given comparator.
        Specified by:
        distinctBy in interface Traversable<T>
        Parameters:
        comparator - a comparator used to determine equality of elements
        Returns:
        a new Traversable with duplicates removed
      • distinctBy

        default <U> Seq<T> distinctBy​(@NonNull java.util.function.Function<? super T,​? extends U> keyExtractor)
        Description copied from interface: Traversable
        Returns a new Traversable containing the elements of this instance without duplicates, based on keys extracted from elements using keyExtractor.

        The first occurrence of each key is retained in the resulting sequence.

        Specified by:
        distinctBy in interface Traversable<T>
        Type Parameters:
        U - the type of key
        Parameters:
        keyExtractor - a function to extract keys for determining uniqueness
        Returns:
        a new Traversable with duplicates removed based on keys
      • drop

        default Seq<T> drop​(int n)
        Description copied from interface: Traversable
        Returns a new Traversable without the first n elements, or an empty instance if this contains fewer than n elements.
        Specified by:
        drop in interface Traversable<T>
        Parameters:
        n - the number of elements to drop
        Returns:
        a new instance excluding the first n elements
      • dropRight

        default Seq<T> dropRight​(int n)
        Description copied from interface: Traversable
        Returns a new Traversable without the last n elements, or an empty instance if this contains fewer than n elements.
        Specified by:
        dropRight in interface Traversable<T>
        Parameters:
        n - the number of elements to drop from the end
        Returns:
        a new instance excluding the last n elements
      • dropUntil

        default Seq<T> dropUntil​(@NonNull java.util.function.Predicate<? super T> predicate)
        Description copied from interface: Traversable
        Returns a new Traversable starting from the first element that satisfies the given predicate, dropping all preceding elements.
        Specified by:
        dropUntil in interface Traversable<T>
        Parameters:
        predicate - a condition tested on each element
        Returns:
        a new instance starting from the first element matching the predicate
      • dropWhile

        default Seq<T> dropWhile​(@NonNull java.util.function.Predicate<? super T> predicate)
        Description copied from interface: Traversable
        Returns a new Traversable starting from the first element that does not satisfy the given predicate, dropping all preceding elements.

        This is equivalent to dropUntil(predicate.negate()), which is useful for method references that cannot be negated directly.

        Specified by:
        dropWhile in interface Traversable<T>
        Parameters:
        predicate - a condition tested on each element
        Returns:
        a new instance starting from the first element not matching the predicate
      • filter

        default Seq<T> filter​(@NonNull java.util.function.Predicate<? super T> predicate)
        Description copied from interface: Traversable
        Returns a new traversable containing only the elements that satisfy the given predicate.
        Specified by:
        filter in interface Traversable<T>
        Parameters:
        predicate - the condition to test elements
        Returns:
        a traversable with elements matching the predicate
      • reject

        default Seq<T> reject​(@NonNull java.util.function.Predicate<? super T> predicate)
        Description copied from interface: Traversable
        Returns a new traversable containing only the elements that do not satisfy the given predicate.

        This is equivalent to filter(predicate.negate()).

        Specified by:
        reject in interface Traversable<T>
        Parameters:
        predicate - the condition to test elements
        Returns:
        a traversable with elements not matching the predicate
      • flatMap

        default <U> Tree<U> flatMap​(@NonNull java.util.function.Function<? super T,​? extends java.lang.Iterable<? extends U>> mapper)
        Description copied from interface: Traversable
        Transforms each element of this Traversable into an Iterable of elements and flattens the resulting iterables into a single Traversable.
        Specified by:
        flatMap in interface Traversable<T>
        Type Parameters:
        U - the type of elements in the resulting Traversable
        Parameters:
        mapper - a function mapping elements to iterables
        Returns:
        a new Traversable containing all elements produced by applying mapper and flattening
      • foldRight

        default <U> U foldRight​(U zero,
                                @NonNull java.util.function.BiFunction<? super T,​? super U,​? extends U> f)
        Description copied from interface: Foldable
        Folds the elements of this structure from the right, starting with the given zero value and successively applying the combine function to each element.

        Folding from the right means that elements are combined starting from the last element and associating each step with the accumulated result so far.

        Example:

        
         // Result: "!cba"
         List.of("a", "b", "c").foldRight("!", (x, acc) -> acc + x);
         
        Specified by:
        foldRight in interface Foldable<T>
        Specified by:
        foldRight in interface Traversable<T>
        Type Parameters:
        U - the type of the accumulated result
        Parameters:
        zero - the initial value to start folding with
        f - a function that combines the next element and the accumulated value
        Returns:
        the folded result
      • groupBy

        default <C> Map<C,​Seq<T>> groupBy​(@NonNull java.util.function.Function<? super T,​? extends C> classifier)
        Description copied from interface: Traversable
        Groups elements of this Traversable based on a classifier function.
        Specified by:
        groupBy in interface Traversable<T>
        Type Parameters:
        C - The type of the group keys
        Parameters:
        classifier - A function that assigns each element to a group
        Returns:
        A map where each key corresponds to a group of elements
        See Also:
        Traversable.arrangeBy(Function)
      • grouped

        default Iterator<Seq<T>> grouped​(int size)
        Description copied from interface: Traversable
        Splits this Traversable into consecutive blocks of the given size.

        Let length be the number of elements in this Traversable:

        • If empty, the resulting Iterator is empty.
        • If size <= length, the resulting Iterator contains length / size blocks of size size and possibly a final smaller block of size length % size.
        • If size > length, the resulting Iterator contains a single block of size length.

        Examples:

         
         [].grouped(1) = []
         [].grouped(0) throws
         [].grouped(-1) throws
         [1,2,3,4].grouped(2) = [[1,2],[3,4]]
         [1,2,3,4,5].grouped(2) = [[1,2],[3,4],[5]]
         [1,2,3,4].grouped(5) = [[1,2,3,4]]
         
         

        Note: grouped(size) is equivalent to sliding(size, size).

        Specified by:
        grouped in interface Traversable<T>
        Parameters:
        size - the block size; must be positive
        Returns:
        an Iterator over blocks of elements
      • hasDefiniteSize

        default boolean hasDefiniteSize()
        Description copied from interface: Traversable
        Indicates whether this Traversable has a known finite size.

        This should typically be implemented by concrete classes, not interfaces.

        Specified by:
        hasDefiniteSize in interface Traversable<T>
        Returns:
        true if the number of elements is finite and known, false otherwise.
      • head

        default T head()
        Description copied from interface: Traversable
        Returns the first element of this non-empty Traversable.
        Specified by:
        head in interface Traversable<T>
        Returns:
        the first element
      • init

        default Seq<T> init()
        Description copied from interface: Traversable
        Returns all elements of this Traversable except the last one.

        This is the dual of Traversable.tail().

        Specified by:
        init in interface Traversable<T>
        Returns:
        a new instance containing all elements except the last
      • initOption

        default Option<Seq<T>> initOption()
        Description copied from interface: Traversable
        Returns all elements of this Traversable except the last one, wrapped in an Option.

        This is the dual of Traversable.tailOption().

        Specified by:
        initOption in interface Traversable<T>
        Returns:
        Some(traversable) if non-empty, or None if this Traversable is empty
      • isTraversableAgain

        default boolean isTraversableAgain()
        Description copied from interface: Traversable
        Checks if this Traversable can be traversed multiple times without side effects.

        Implementations should provide the correct behavior; this is not meant for interfaces alone.

        Specified by:
        isTraversableAgain in interface Traversable<T>
        Returns:
        true if this Traversable is guaranteed to be repeatably traversable, false otherwise
      • iterator

        default @NonNull Iterator<T> iterator()
        Description copied from interface: Traversable
        Returns an iterator over the elements of this Traversable, implemented via Traversable.head() and Traversable.tail(). Subclasses may override for a more efficient implementation.
        Specified by:
        iterator in interface java.lang.Iterable<T>
        Specified by:
        iterator in interface Traversable<T>
        Specified by:
        iterator in interface Value<T>
        Returns:
        a new Iterator over the elements of this Traversable
      • map

        default <U> Tree<U> map​(@NonNull java.util.function.Function<? super T,​? extends U> mapper)
        Description copied from interface: Traversable
        Transforms the elements of this Traversable to a new type, preserving order if defined.
        Specified by:
        map in interface Traversable<T>
        Specified by:
        map in interface Value<T>
        Type Parameters:
        U - the target element type
        Parameters:
        mapper - a mapping function
        Returns:
        a new Traversable containing the mapped elements
      • mapTo

        default <U> Tree<U> mapTo​(U value)
        Description copied from interface: Value
        Maps the underlying value to another fixed value.
        Specified by:
        mapTo in interface Traversable<T>
        Specified by:
        mapTo in interface Value<T>
        Type Parameters:
        U - The new component type
        Parameters:
        value - value to replace the contents with
        Returns:
        A new value
      • mapToVoid

        default Tree<java.lang.Void> mapToVoid()
        Description copied from interface: Value
        Maps the underlying value to Void
        Specified by:
        mapToVoid in interface Traversable<T>
        Specified by:
        mapToVoid in interface Value<T>
        Returns:
        A new value of type Void
      • orElse

        default Tree<T> orElse​(@NonNull java.lang.Iterable<? extends T> other)
        Description copied from interface: Traversable
        Returns this Traversable if it is non-empty; otherwise, returns the given alternative.
        Specified by:
        orElse in interface Traversable<T>
        Parameters:
        other - an alternative Traversable to return if this is empty
        Returns:
        this Traversable if non-empty, otherwise other
      • orElse

        default Tree<T> orElse​(@NonNull java.util.function.Supplier<? extends java.lang.Iterable<? extends T>> supplier)
        Description copied from interface: Traversable
        Returns this Traversable if it is non-empty; otherwise, returns the result of evaluating the given supplier.
        Specified by:
        orElse in interface Traversable<T>
        Parameters:
        supplier - a supplier of an alternative Traversable if this is empty
        Returns:
        this Traversable if non-empty, otherwise the result of supplier.get()
      • partition

        default Tuple2<Seq<T>,​Seq<T>> partition​(@NonNull java.util.function.Predicate<? super T> predicate)
        Description copied from interface: Traversable
        Splits this Traversable into two partitions according to a predicate.

        The first partition contains all elements that satisfy the predicate, and the second contains all elements that do not. The original iteration order is preserved.

        Specified by:
        partition in interface Traversable<T>
        Parameters:
        predicate - a predicate used to classify elements
        Returns:
        a Tuple2 containing the two resulting Traversable instances
      • peek

        default Tree<T> peek​(@NonNull java.util.function.Consumer<? super T> action)
        Description copied from interface: Value
        Performs the given action on the first element if this is an eager implementation. Performs the given action on all elements (the first immediately, successive deferred), if this is a lazy implementation.
        Specified by:
        peek in interface Traversable<T>
        Specified by:
        peek in interface Value<T>
        Parameters:
        action - The action that will be performed on the element(s).
        Returns:
        this instance
      • replace

        default Tree<T> replace​(T currentElement,
                                T newElement)
        Description copied from interface: Traversable
        Replaces the first occurrence of currentElement with newElement, if it exists.
        Specified by:
        replace in interface Traversable<T>
        Parameters:
        currentElement - the element to be replaced
        newElement - the replacement element
        Returns:
        a new Traversable with the first occurrence of currentElement replaced by newElement
      • replaceAll

        default Tree<T> replaceAll​(T currentElement,
                                   T newElement)
        Description copied from interface: Traversable
        Replaces all occurrences of currentElement with newElement.
        Specified by:
        replaceAll in interface Traversable<T>
        Parameters:
        currentElement - the element to be replaced
        newElement - the replacement element
        Returns:
        a new Traversable with all occurrences of currentElement replaced by newElement
      • retainAll

        default Seq<T> retainAll​(@NonNull java.lang.Iterable<? extends T> elements)
        Description copied from interface: Traversable
        Retains only the elements from this Traversable that are contained in the given elements.
        Specified by:
        retainAll in interface Traversable<T>
        Parameters:
        elements - the elements to keep
        Returns:
        a new Traversable containing only the elements present in elements, in their original order
      • scan

        default Seq<T> scan​(T zero,
                            @NonNull java.util.function.BiFunction<? super T,​? super T,​? extends T> operation)
        Description copied from interface: Traversable
        Computes a prefix scan of the elements of this Traversable.

        The neutral element zero may be applied more than once.

        Specified by:
        scan in interface Traversable<T>
        Parameters:
        zero - the neutral element for the operator
        operation - an associative binary operator
        Returns:
        a new Traversable containing the prefix scan of the elements
      • scanLeft

        default <U> Seq<U> scanLeft​(U zero,
                                    @NonNull java.util.function.BiFunction<? super U,​? super T,​? extends U> operation)
        Description copied from interface: Traversable
        Produces a collection containing cumulative results of applying the operator from left to right.

        Will not terminate for infinite collections. The results may vary across runs unless the collection is ordered.

        Specified by:
        scanLeft in interface Traversable<T>
        Type Parameters:
        U - the type of the resulting elements
        Parameters:
        zero - the initial value
        operation - a binary operator applied to the intermediate result and each element
        Returns:
        a new Traversable containing the cumulative results
      • scanRight

        default <U> Seq<U> scanRight​(U zero,
                                     @NonNull java.util.function.BiFunction<? super T,​? super U,​? extends U> operation)
        Description copied from interface: Traversable
        Produces a collection containing cumulative results of applying the operator from right to left.

        The head of the resulting collection is the last cumulative result. Will not terminate for infinite collections. Results may vary across runs unless the collection is ordered.

        Specified by:
        scanRight in interface Traversable<T>
        Type Parameters:
        U - the type of the resulting elements
        Parameters:
        zero - the initial value
        operation - a binary operator applied to each element and the intermediate result
        Returns:
        a new Traversable containing the cumulative results
      • slideBy

        default Iterator<Seq<T>> slideBy​(@NonNull java.util.function.Function<? super T,​?> classifier)
        Description copied from interface: Traversable
        Partitions this Traversable into consecutive non-overlapping windows according to a classification function.

        Each window contains elements with the same class, as determined by classifier. Two consecutive elements belong to the same window only if classifier returns equal values for both. Otherwise, the current window ends and a new window begins with the next element.

        Examples:

        
         [].slideBy(Function.identity()) = []
         [1,2,3,4,4,5].slideBy(Function.identity()) = [[1],[2],[3],[4,4],[5]]
         [1,2,3,10,12,5,7,20,29].slideBy(x -> x / 10) = [[1,2,3],[10,12],[5,7],[20,29]]
         
        Specified by:
        slideBy in interface Traversable<T>
        Parameters:
        classifier - A function classifying elements into groups
        Returns:
        An Iterator of windows (grouped elements)
      • sliding

        default Iterator<Seq<T>> sliding​(int size)
        Description copied from interface: Traversable
        Slides a window of a given size over this Traversable with a step size of 1.

        This is equivalent to calling Traversable.sliding(int, int) with a step size of 1.

        Specified by:
        sliding in interface Traversable<T>
        Parameters:
        size - a positive window size
        Returns:
        An Iterator of windows, each containing up to size elements
      • sliding

        default Iterator<Seq<T>> sliding​(int size,
                                         int step)
        Description copied from interface: Traversable
        Slides a window of a specific size with a given step over this Traversable.

        Examples:

        
         [].sliding(1, 1) = []
         [1,2,3,4,5].sliding(2, 3) = [[1,2],[4,5]]
         [1,2,3,4,5].sliding(2, 4) = [[1,2],[5]]
         [1,2,3,4,5].sliding(2, 5) = [[1,2]]
         [1,2,3,4].sliding(5, 3) = [[1,2,3,4],[4]]
         
        Specified by:
        sliding in interface Traversable<T>
        Parameters:
        size - a positive window size
        step - a positive step size
        Returns:
        an Iterator of windows with the given size and step
      • span

        default Tuple2<Seq<T>,​Seq<T>> span​(@NonNull java.util.function.Predicate<? super T> predicate)
        Description copied from interface: Traversable
        Splits this Traversable into a prefix and remainder according to the given predicate.

        The first element of the returned Tuple is the longest prefix of elements satisfying predicate, and the second element is the remaining elements.

        Specified by:
        span in interface Traversable<T>
        Parameters:
        predicate - a predicate used to determine the prefix
        Returns:
        a Tuple containing the prefix and remainder
      • stringPrefix

        default java.lang.String stringPrefix()
        Description copied from interface: Value
        Returns the name of this Value type, which is used by toString().
        Specified by:
        stringPrefix in interface Value<T>
        Returns:
        This type name.
      • tail

        default Seq<T> tail()
        Description copied from interface: Traversable
        Returns a new Traversable without its first element.
        Specified by:
        tail in interface Traversable<T>
        Returns:
        a new Traversable containing all elements except the first
      • tailOption

        default Option<Seq<T>> tailOption()
        Description copied from interface: Traversable
        Returns a new Traversable without its first element as an Option.
        Specified by:
        tailOption in interface Traversable<T>
        Returns:
        Some(traversable) if non-empty, otherwise None
      • take

        default Seq<T> take​(int n)
        Description copied from interface: Traversable
        Returns the first n elements of this Traversable, or all elements if n exceeds the length.

        Equivalent to sublist(0, max(0, min(length(), n))), but safe for n < 0 or n > length().

        If n < 0, an empty instance is returned. If n > length(), the full instance is returned.

        Specified by:
        take in interface Traversable<T>
        Parameters:
        n - the number of elements to take
        Returns:
        a new Traversable containing the first n elements
      • takeRight

        default Seq<T> takeRight​(int n)
        Description copied from interface: Traversable
        Returns the last n elements of this Traversable, or all elements if n exceeds the length.

        Equivalent to sublist(max(0, length() - n), length()), but safe for n < 0 or n > length().

        If n < 0, an empty instance is returned. If n > length(), the full instance is returned.

        Specified by:
        takeRight in interface Traversable<T>
        Parameters:
        n - the number of elements to take from the end
        Returns:
        a new Traversable containing the last n elements
      • takeUntil

        default Seq<T> takeUntil​(@NonNull java.util.function.Predicate<? super T> predicate)
        Description copied from interface: Traversable
        Takes elements from this Traversable until the given predicate holds for an element.

        Equivalent to takeWhile(predicate.negate()), but useful when using method references that cannot be negated directly.

        Specified by:
        takeUntil in interface Traversable<T>
        Parameters:
        predicate - a condition tested sequentially on the elements
        Returns:
        a new Traversable containing all elements before the first one that satisfies the predicate
      • takeWhile

        default Seq<T> takeWhile​(@NonNull java.util.function.Predicate<? super T> predicate)
        Description copied from interface: Traversable
        Takes elements from this Traversable while the given predicate holds.
        Specified by:
        takeWhile in interface Traversable<T>
        Parameters:
        predicate - a condition tested sequentially on the elements
        Returns:
        a new Traversable containing all elements up to (but not including) the first one that does not satisfy the predicate
      • unzip

        default <T1,​T2> Tuple2<Tree<T1>,​Tree<T2>> unzip​(@NonNull java.util.function.Function<? super T,​Tuple2<? extends T1,​? extends T2>> unzipper)
        Description copied from interface: Traversable
        Unzips the elements of this Traversable by mapping each element to a pair and splitting them into two separate Traversable collections.
        Specified by:
        unzip in interface Traversable<T>
        Type Parameters:
        T1 - type of the first element in the resulting pairs
        T2 - type of the second element in the resulting pairs
        Parameters:
        unzipper - a function that maps elements of this Traversable to pairs
        Returns:
        a Tuple2 containing two Traversable collections with the split elements
      • unzip3

        default <T1,​T2,​T3> Tuple3<Tree<T1>,​Tree<T2>,​Tree<T3>> unzip3​(@NonNull java.util.function.Function<? super T,​Tuple3<? extends T1,​? extends T2,​? extends T3>> unzipper)
        Description copied from interface: Traversable
        Unzips the elements of this Traversable by mapping each element to a triple and splitting them into three separate Traversable collections.
        Specified by:
        unzip3 in interface Traversable<T>
        Type Parameters:
        T1 - type of the first element in the resulting triples
        T2 - type of the second element in the resulting triples
        T3 - type of the third element in the resulting triples
        Parameters:
        unzipper - a function that maps elements of this Traversable to triples
        Returns:
        a Tuple3 containing three Traversable collections with the split elements
      • zip

        default <U> Tree<Tuple2<T,​U>> zip​(@NonNull java.lang.Iterable<? extends U> that)
        Description copied from interface: Traversable
        Returns a Traversable formed by pairing elements of this Traversable with elements of another Iterable. Pairing stops when either collection runs out of elements; any remaining elements in the longer collection are ignored.

        The length of the resulting Traversable is the minimum of the lengths of this Traversable and that.

        Specified by:
        zip in interface Traversable<T>
        Type Parameters:
        U - the type of elements in the second half of each pair
        Parameters:
        that - an Iterable providing the second element of each pair
        Returns:
        a new Traversable containing pairs of corresponding elements
      • zipWith

        default <U,​R> Tree<R> zipWith​(@NonNull java.lang.Iterable<? extends U> that,
                                            java.util.function.BiFunction<? super T,​? super U,​? extends R> mapper)
        Description copied from interface: Traversable
        Returns a Traversable by combining elements of this Traversable with elements of another Iterable using a mapping function. Pairing stops when either collection runs out of elements.

        The length of the resulting Traversable is the minimum of the lengths of this Traversable and that.

        Specified by:
        zipWith in interface Traversable<T>
        Type Parameters:
        U - the type of elements in the second parameter of the mapper
        R - the type of elements in the resulting Traversable
        Parameters:
        that - an Iterable providing the second parameter of the mapper
        mapper - a function that combines elements from this and that into a new element
        Returns:
        a new Traversable containing mapped elements
      • zipAll

        default <U> Tree<Tuple2<T,​U>> zipAll​(@NonNull java.lang.Iterable<? extends U> that,
                                                   T thisElem,
                                                   U thatElem)
        Description copied from interface: Traversable
        Returns a Traversable formed by pairing elements of this Traversable with elements of another Iterable, filling in placeholder elements when one collection is shorter than the other.

        The length of the resulting Traversable is the maximum of the lengths of this Traversable and that.

        If this Traversable is shorter than that, thisElem is used as a filler. Conversely, if that is shorter, thatElem is used.

        Specified by:
        zipAll in interface Traversable<T>
        Type Parameters:
        U - the type of elements in the second half of each pair
        Parameters:
        that - an Iterable providing the second element of each pair
        thisElem - the element used to fill missing values if this Traversable is shorter than that
        thatElem - the element used to fill missing values if that is shorter than this Traversable
        Returns:
        a new Traversable containing pairs of elements, including fillers as needed
      • zipWithIndex

        default Tree<Tuple2<T,​java.lang.Integer>> zipWithIndex()
        Description copied from interface: Traversable
        Zips this Traversable with its indices, starting at 0.
        Specified by:
        zipWithIndex in interface Traversable<T>
        Returns:
        a new Traversable containing each element paired with its index
      • zipWithIndex

        default <U> Tree<U> zipWithIndex​(@NonNull java.util.function.BiFunction<? super T,​? super java.lang.Integer,​? extends U> mapper)
        Description copied from interface: Traversable
        Zips this Traversable with its indices and maps the resulting pairs using the provided mapper.
        Specified by:
        zipWithIndex in interface Traversable<T>
        Type Parameters:
        U - the type of elements in the resulting Traversable
        Parameters:
        mapper - a function mapping an element and its index to a new element
        Returns:
        a new Traversable containing the mapped elements
      • equals

        boolean equals​(java.lang.Object o)
        Description copied from interface: Traversable
        Determines whether this collection is equal to the given object.

        In Vavr, there are four basic collection types:

        • Seq – sequential elements
        • Set – distinct elements
        • Map – key-value pairs
        • Multimap – keys mapped to multiple values
        Two collections are considered equal if and only if:
        • They are of the same collection type (Seq, Set, Map, Multimap)
        • They contain the same elements
        • For Seq, the element order is the same

        For Map and Multimap, two entries (key1, value1) and (key2, value2) are equal if both their keys and values are equal.

        Additional notes:

        • No collection equals null (e.g., Queue(1) != null)
        • Null elements are allowed and treated as expected (e.g., List(null, 1) == Stream(null, 1), HashMap((null,1)) == LinkedHashMap((null,1)))
        • Element order matters only for Seq
        • Other collection classes are equal if their types and elements (in iteration order) are equal
        • Iterators are compared by reference only
        Specified by:
        equals in interface Traversable<T>
        Specified by:
        equals in interface Value<T>
        Overrides:
        equals in class java.lang.Object
        Parameters:
        o - the object to compare with, may be null
        Returns:
        true if the collections are equal according to the rules above, false otherwise
      • hashCode

        int hashCode()
        Description copied from interface: Traversable
        Returns the hash code of this collection.

        Vavr distinguishes between collections with predictable iteration order (like Seq) and collections with arbitrary iteration order (like Set, Map, and Multimap). In all cases, the hash of an empty collection is defined as 1.

        For collections with predictable iteration order, the hash is computed as:

        
         int hash = 1;
         for (T t : this) {
             hash = hash * 31 + Objects.hashCode(t);
         }
         

        For collections with arbitrary iteration order, the hash is computed to be independent of element order:

        
         int hash = 1;
         for (T t : this) {
             hash += Objects.hashCode(t);
         }
         

        Note that these algorithms may change in future Vavr versions. Hash codes are generally not cached, unlike size/length, because caching would increase memory usage due to persistent tree-based structures. Computing the hash code is linear in time, O(n). For frequently re-used collections (e.g., as HashMap keys), caching can be done externally using a wrapper, for example:

        {@code
         public final class Hashed {
             private final K key;
             private final Lazy hashCode;
        
             public Hashed(K key) {
                 this.key = key;
                 this.hashCode = Lazy.of(() -> Objects.hashCode(key));
             }
        
             public K key() { return key; }
        Specified by:
        hashCode in interface Traversable<T>
        Specified by:
        hashCode in interface Value<T>
        Overrides:
        hashCode in class java.lang.Object
        Returns:
        the hash code of this collection
      • toString

        java.lang.String toString()
        Description copied from interface: Value
        Clarifies that values have a proper toString() method implemented.

        See Object.toString().

        Specified by:
        toString in interface Value<T>
        Overrides:
        toString in class java.lang.Object
        Returns:
        A String representation of this object
      • draw

        java.lang.String draw()
        Creates a neat 2-dimensional drawing of a tree. Unicode characters are used to draw node junctions.
        Returns:
        A nice string representation of the tree.