Interface Tree<T>

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

public interface Tree<T> extends Traversable<T>, Serializable
A general Tree interface.
  • Field Details

    • serialVersionUID

      static final long serialVersionUID
      The serial version UID for serialization.
      See Also:
  • Method Details

    • collector

      static <T> Collector<T,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 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:
      NullPointerException - if values is null
    • ofAll

      static <T> Tree<T> ofAll(@NonNull 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:
      NullPointerException - if elements is null
    • ofAll

      static <T> Tree<T> ofAll(@NonNull 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 Function<? super 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:
      NullPointerException - if f is null
    • fill

      static <T> Tree<T> fill(int n, @NonNull 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:
      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 Function<? super T,? extends 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:
      NullPointerException - if descend is null
    • build

      static <T, ID> List<Tree.Node<T>> build(@NonNull Iterable<? extends T> source, @NonNull Function<? super T,? extends ID> idMapper, @NonNull 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:
      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:
      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

      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 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:
      NullPointerException - if f is null
    • traverse

      default Seq<Tree.Node<T>> traverse()
      Traverses this tree in Tree.Order.PRE_ORDER.
      Returns:
      A sequence of nodes.
    • 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:
      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:
      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 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 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 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 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 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 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 Function<? super T,? extends 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 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 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:
    • 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 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 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<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 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 Supplier<? extends 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 Iterable<? extends U> that, 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 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,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 BiFunction<? super T,? super 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(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 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:

      
       public final class Hashed<K> {
           private final K key;
           private final Lazy<Integer> hashCode;
      
           public Hashed(K key) {
               this.key = key;
               this.hashCode = Lazy.of(() -> Objects.hashCode(key));
           }
      
           public K key() { return key; }
      
           @Override
           public boolean equals(Object o) {
               if (o == key) return true;
               if (key != null && o instanceof Hashed) return key.equals(((Hashed<?>) o).key);
               return false;
           }
      
           @Override
           public int hashCode() { return hashCode.get(); }
      
           @Override
           public String toString() { return "Hashed(" + key + ")"; }
       }
       
      Specified by:
      hashCode in interface Traversable<T>
      Specified by:
      hashCode in interface Value<T>
      Overrides:
      hashCode in class Object
      Returns:
      the hash code of this collection
    • toString

      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 Object
      Returns:
      A String representation of this object
    • draw

      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.