# std/lists

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Source Edit

Implementation of:

- singly linked lists
- doubly linked lists
- singly linked rings (circular lists)
- doubly linked rings (circular lists)

# Basic Usage

Because it makes no sense to do otherwise, the `next` and `prev` pointers are not hidden from you and can be manipulated directly for efficiency.

## Lists

Example:

    import std/lists
    var list = initDoublyLinkedList[int]()
    let
      a = newDoublyLinkedNode[int](3)
      b = newDoublyLinkedNode[int](7)
      c = newDoublyLinkedNode[int](9)

    list.add(a)
    list.add(b)
    list.prepend(c)

    assert a.next == b
    assert a.prev == c
    assert c.next == a
    assert c.next.next == b
    assert c.prev == nil
    assert b.next == nil

## Rings

Example:

    import std/lists
    var ring = initSinglyLinkedRing[int]()
    let
      a = newSinglyLinkedNode[int](3)
      b = newSinglyLinkedNode[int](7)
      c = newSinglyLinkedNode[int](9)

    ring.add(a)
    ring.add(b)
    ring.prepend(c)

    assert c.next == a
    assert a.next == b
    assert c.next.next == b
    assert b.next == c
    assert c.next.next.next == c

# See also

- deques module for double-ended queues

# Imports

since, assertions

# Types

    DoublyLinkedList[T] = object
      head*: DoublyLinkedNode[T]
      tail* {.cursor.}: DoublyLinkedNode[T]

  A doubly linked list. Source Edit

    DoublyLinkedNode[T] = ref DoublyLinkedNodeObj[T]

  Source Edit

    DoublyLinkedNodeObj[T] = object
      next*: DoublyLinkedNode[T]
      prev* {.cursor.}: DoublyLinkedNode[T]
      value*: T

  A node of a doubly linked list.

  It consists of a `value` field, and pointers to `next` and `prev`.

  Source Edit

    DoublyLinkedRing[T] = object
      head*: DoublyLinkedNode[T]

  A doubly linked ring. Source Edit

    SinglyLinkedList[T] = object
      head*: SinglyLinkedNode[T]
      tail* {.cursor.}: SinglyLinkedNode[T]

  A singly linked list. Source Edit

    SinglyLinkedNode[T] = ref SinglyLinkedNodeObj[T]

  Source Edit

    SinglyLinkedNodeObj[T] = object
      next*: SinglyLinkedNode[T]
      value*: T

  A node of a singly linked list.

  It consists of a `value` field, and a pointer to `next`.

  Source Edit

    SinglyLinkedRing[T] = object
      head*: SinglyLinkedNode[T]
      tail* {.cursor.}: SinglyLinkedNode[T]

  A singly linked ring. Source Edit

    SomeLinkedCollection[T] = SomeLinkedList[T] | SomeLinkedRing[T]

  Source Edit

    SomeLinkedList[T] = SinglyLinkedList[T] | DoublyLinkedList[T]

  Source Edit

    SomeLinkedNode[T] = SinglyLinkedNode[T] | DoublyLinkedNode[T]

  Source Edit

    SomeLinkedRing[T] = SinglyLinkedRing[T] | DoublyLinkedRing[T]

  Source Edit

# Procs

    proc `$`[T](L: SomeLinkedCollection[T]): string

  Turns a list into its string representation for logging and printing.

  Example:

      let a = [1, 2, 3, 4].toSinglyLinkedList
      assert $a == "[1, 2, 3, 4]"

  Source Edit

    proc add[T: SomeLinkedList](a: var T; b: T)

  Appends a shallow copy of `b` to the end of `a`.

  See also:

  - addMoved proc
  - addMoved proc for moving the second list instead of copying

  Example:

      from std/sequtils import toSeq
      var a = [1, 2, 3].toSinglyLinkedList
      let b = [4, 5].toSinglyLinkedList
      a.add(b)
      assert a.toSeq == [1, 2, 3, 4, 5]
      assert b.toSeq == [4, 5]
      a.add(a)
      assert a.toSeq == [1, 2, 3, 4, 5, 1, 2, 3, 4, 5]

  Source Edit

    proc add[T](L: var DoublyLinkedList[T]; n: DoublyLinkedNode[T])

  Appends (adds to the end) a node `n` to `L`. Efficiency: O(1).

  See also:

  - add proc for appending a value
  - prepend proc for prepending a node
  - prepend proc for prepending a value
  - remove proc for removing a node

  Example:

      var a = initDoublyLinkedList[int]()
      let n = newDoublyLinkedNode[int](9)
      a.add(n)
      assert a.contains(9)

  Source Edit

    proc add[T](L: var DoublyLinkedList[T]; value: T)

  Appends (adds to the end) a value to `L`. Efficiency: O(1).

  See also:

  - add proc for appending a node
  - prepend proc for prepending a node
  - prepend proc for prepending a value
  - remove proc for removing a node

  Example:

      var a = initDoublyLinkedList[int]()
      a.add(9)
      a.add(8)
      assert a.contains(9)

  Source Edit

    proc add[T](L: var DoublyLinkedRing[T]; n: DoublyLinkedNode[T])

  Appends (adds to the end) a node `n` to `L`. Efficiency: O(1).

  See also:

  - add proc for appending a value
  - prepend proc for prepending a node
  - prepend proc for prepending a value
  - remove proc for removing a node

  Example:

      var a = initDoublyLinkedRing[int]()
      let n = newDoublyLinkedNode[int](9)
      a.add(n)
      assert a.contains(9)

  Source Edit

    proc add[T](L: var DoublyLinkedRing[T]; value: T)

  Appends (adds to the end) a value to `L`. Efficiency: O(1).

  See also:

  - add proc for appending a node
  - prepend proc for prepending a node
  - prepend proc for prepending a value
  - remove proc for removing a node

  Example:

      var a = initDoublyLinkedRing[int]()
      a.add(9)
      a.add(8)
      assert a.contains(9)

  Source Edit

    proc add[T](L: var SinglyLinkedList[T]; n: SinglyLinkedNode[T]) {.inline.}

  Appends (adds to the end) a node `n` to `L`. Efficiency: O(1).

  See also:

  - add proc for appending a value
  - prepend proc for prepending a node
  - prepend proc for prepending a value

  Example:

      var a = initSinglyLinkedList[int]()
      let n = newSinglyLinkedNode[int](9)
      a.add(n)
      assert a.contains(9)

  Source Edit

    proc add[T](L: var SinglyLinkedList[T]; value: T) {.inline.}

  Appends (adds to the end) a value to `L`. Efficiency: O(1).

  See also:

  - add proc for appending a value
  - prepend proc for prepending a node
  - prepend proc for prepending a value

  Example:

      var a = initSinglyLinkedList[int]()
      a.add(9)
      a.add(8)
      assert a.contains(9)

  Source Edit

    proc add[T](L: var SinglyLinkedRing[T]; n: SinglyLinkedNode[T])

  Appends (adds to the end) a node `n` to `L`. Efficiency: O(1).

  See also:

  - add proc for appending a value
  - prepend proc for prepending a node
  - prepend proc for prepending a value

  Example:

      var a = initSinglyLinkedRing[int]()
      let n = newSinglyLinkedNode[int](9)
      a.add(n)
      assert a.contains(9)

  Source Edit

    proc add[T](L: var SinglyLinkedRing[T]; value: T)

  Appends (adds to the end) a value to `L`. Efficiency: O(1).

  See also:

  - add proc for appending a node
  - prepend proc for prepending a node
  - prepend proc for prepending a value

  Example:

      var a = initSinglyLinkedRing[int]()
      a.add(9)
      a.add(8)
      assert a.contains(9)

  Source Edit

    proc addMoved[T](a, b: var DoublyLinkedList[T])

  Moves `b` to the end of `a`. Efficiency: O(1). Note that `b` becomes empty after the operation unless it has the same address as `a`. Self-adding results in a cycle.

  See also:

  - add proc for adding a copy of a list

  Example:

      import std/[sequtils, enumerate, sugar]
      var
        a = [1, 2, 3].toDoublyLinkedList
        b = [4, 5].toDoublyLinkedList
        c = [0, 1].toDoublyLinkedList
      a.addMoved(b)
      assert a.toSeq == [1, 2, 3, 4, 5]
      assert b.toSeq == []
      c.addMoved(c)
      let s = collect:
        for i, ci in enumerate(c):
          if i == 6: break
          ci
      assert s == [0, 1, 0, 1, 0, 1]

  Source Edit

    proc addMoved[T](a, b: var SinglyLinkedList[T])

  Moves `b` to the end of `a`. Efficiency: O(1). Note that `b` becomes empty after the operation unless it has the same address as `a`. Self-adding results in a cycle.

  See also:

  - add proc for adding a copy of a list

  Example:

      import std/[sequtils, enumerate, sugar]
      var
        a = [1, 2, 3].toSinglyLinkedList
        b = [4, 5].toSinglyLinkedList
        c = [0, 1].toSinglyLinkedList
      a.addMoved(b)
      assert a.toSeq == [1, 2, 3, 4, 5]
      assert b.toSeq == []
      c.addMoved(c)
      let s = collect:
        for i, ci in enumerate(c):
          if i == 6: break
          ci
      assert s == [0, 1, 0, 1, 0, 1]

  Source Edit

    proc append[T](a: var (DoublyLinkedList[T] | DoublyLinkedRing[T]);
                   b: DoublyLinkedList[T] | DoublyLinkedNode[T] | T)

  Alias for `a.add(b)`.

  See also:

  - add proc
  - add proc
  - add proc
  Source Edit

    proc append[T](a: var (SinglyLinkedList[T] | SinglyLinkedRing[T]);
                   b: SinglyLinkedList[T] | SinglyLinkedNode[T] | T)

  Alias for `a.add(b)`.

  See also:

  - add proc
  - add proc
  - add proc
  Source Edit

    proc appendMoved[T: SomeLinkedList](a, b: var T)

  Alias for `a.addMoved(b)`.

  See also:

  - addMoved proc
  - addMoved proc
  Source Edit

    proc contains[T](L: SomeLinkedCollection[T]; value: T): bool {.inline.}

  Searches in the list for a value. Returns `false` if the value does not exist, `true` otherwise. This allows the usage of the `in` and `notin` operators.

  See also:

  - find proc

  Example:

      let a = [9, 8].toSinglyLinkedList
      assert a.contains(9)
      assert 8 in a
      assert(not a.contains(1))
      assert 2 notin a

  Source Edit

    func copy[T](a: DoublyLinkedList[T]): DoublyLinkedList[T]

  Creates a shallow copy of `a`.

  Example:

      from std/sequtils import toSeq
      type Foo = ref object
        x: int
      var
        f = Foo(x: 1)
        a = [f].toDoublyLinkedList
      let b = a.copy
      a.add([f].toDoublyLinkedList)
      assert a.toSeq == [f, f]
      assert b.toSeq == [f] # b isn't modified...
      f.x = 42
      assert a.head.value.x == 42
      assert b.head.value.x == 42 # ... but the elements are not deep copied

      let c = [1, 2, 3].toDoublyLinkedList
      assert $c == $c.copy

  Source Edit

    func copy[T](a: SinglyLinkedList[T]): SinglyLinkedList[T]

  Creates a shallow copy of `a`.

  Example:

      from std/sequtils import toSeq
      type Foo = ref object
        x: int
      var
        f = Foo(x: 1)
        a = [f].toSinglyLinkedList
      let b = a.copy
      a.add([f].toSinglyLinkedList)
      assert a.toSeq == [f, f]
      assert b.toSeq == [f] # b isn't modified...
      f.x = 42
      assert a.head.value.x == 42
      assert b.head.value.x == 42 # ... but the elements are not deep copied

      let c = [1, 2, 3].toSinglyLinkedList
      assert $c == $c.copy

  Source Edit

    proc find[T](L: SomeLinkedCollection[T]; value: T): SomeLinkedNode[T]

  Searches in the list for a value. Returns `nil` if the value does not exist.

  See also:

  - contains proc

  Example:

      let a = [9, 8].toSinglyLinkedList
      assert a.find(9).value == 9
      assert a.find(1) == nil

  Source Edit

    proc initDoublyLinkedList[T](): DoublyLinkedList[T]

  Creates a new doubly linked list that is empty.

  Doubly linked lists are initialized by default, so it is not necessary to call this function explicitly.

  Example:

      let a = initDoublyLinkedList[int]()

  Source Edit

    proc initDoublyLinkedRing[T](): DoublyLinkedRing[T]

  Creates a new doubly linked ring that is empty.

  Doubly linked rings are initialized by default, so it is not necessary to call this function explicitly.

  Example:

      let a = initDoublyLinkedRing[int]()

  Source Edit

    proc initSinglyLinkedList[T](): SinglyLinkedList[T]

  Creates a new singly linked list that is empty.

  Singly linked lists are initialized by default, so it is not necessary to call this function explicitly.

  Example:

      let a = initSinglyLinkedList[int]()

  Source Edit

    proc initSinglyLinkedRing[T](): SinglyLinkedRing[T]

  Creates a new singly linked ring that is empty.

  Singly linked rings are initialized by default, so it is not necessary to call this function explicitly.

  Example:

      let a = initSinglyLinkedRing[int]()

  Source Edit

    proc newDoublyLinkedNode[T](value: T): DoublyLinkedNode[T]

  Creates a new doubly linked node with the given `value`.

  Example:

      let n = newDoublyLinkedNode[int](5)
      assert n.value == 5

  Source Edit

    proc newSinglyLinkedNode[T](value: T): SinglyLinkedNode[T]

  Creates a new singly linked node with the given `value`.

  Example:

      let n = newSinglyLinkedNode[int](5)
      assert n.value == 5

  Source Edit

    proc prepend[T: SomeLinkedList](a: var T; b: T)

  Prepends a shallow copy of `b` to the beginning of `a`.

  See also:

  - prependMoved proc for moving the second list instead of copying

  Example:

      from std/sequtils import toSeq
      var a = [4, 5].toSinglyLinkedList
      let b = [1, 2, 3].toSinglyLinkedList
      a.prepend(b)
      assert a.toSeq == [1, 2, 3, 4, 5]
      assert b.toSeq == [1, 2, 3]
      a.prepend(a)
      assert a.toSeq == [1, 2, 3, 4, 5, 1, 2, 3, 4, 5]

  Source Edit

    proc prepend[T](L: var DoublyLinkedList[T]; n: DoublyLinkedNode[T])

  Prepends (adds to the beginning) a node `n` to `L`. Efficiency: O(1).

  See also:

  - add proc for appending a node
  - add proc for appending a value
  - prepend proc for prepending a value
  - remove proc for removing a node

  Example:

      var a = initDoublyLinkedList[int]()
      let n = newDoublyLinkedNode[int](9)
      a.prepend(n)
      assert a.contains(9)

  Source Edit

    proc prepend[T](L: var DoublyLinkedList[T]; value: T)

  Prepends (adds to the beginning) a value to `L`. Efficiency: O(1).

  See also:

  - add proc for appending a node
  - add proc for appending a value
  - prepend proc for prepending a node
  - remove proc for removing a node

  Example:

      var a = initDoublyLinkedList[int]()
      a.prepend(9)
      a.prepend(8)
      assert a.contains(9)

  Source Edit

    proc prepend[T](L: var DoublyLinkedRing[T]; n: DoublyLinkedNode[T])

  Prepends (adds to the beginning) a node `n` to `L`. Efficiency: O(1).

  See also:

  - add proc for appending a node
  - add proc for appending a value
  - prepend proc for prepending a value
  - remove proc for removing a node

  Example:

      var a = initDoublyLinkedRing[int]()
      let n = newDoublyLinkedNode[int](9)
      a.prepend(n)
      assert a.contains(9)

  Source Edit

    proc prepend[T](L: var DoublyLinkedRing[T]; value: T)

  Prepends (adds to the beginning) a value to `L`. Efficiency: O(1).

  See also:

  - add proc for appending a node
  - add proc for appending a value
  - prepend proc for prepending a node
  - remove proc for removing a node

  Example:

      var a = initDoublyLinkedRing[int]()
      a.prepend(9)
      a.prepend(8)
      assert a.contains(9)

  Source Edit

    proc prepend[T](L: var SinglyLinkedList[T]; n: SinglyLinkedNode[T]) {.inline.}

  Prepends (adds to the beginning) a node to `L`. Efficiency: O(1).

  See also:

  - add proc for appending a node
  - add proc for appending a value
  - prepend proc for prepending a value

  Example:

      var a = initSinglyLinkedList[int]()
      let n = newSinglyLinkedNode[int](9)
      a.prepend(n)
      assert a.contains(9)

  Source Edit

    proc prepend[T](L: var SinglyLinkedList[T]; value: T) {.inline.}

  Prepends (adds to the beginning) a node to `L`. Efficiency: O(1).

  See also:

  - add proc for appending a node
  - add proc for appending a value
  - prepend proc for prepending a node

  Example:

      var a = initSinglyLinkedList[int]()
      a.prepend(9)
      a.prepend(8)
      assert a.contains(9)

  Source Edit

    proc prepend[T](L: var SinglyLinkedRing[T]; n: SinglyLinkedNode[T])

  Prepends (adds to the beginning) a node `n` to `L`. Efficiency: O(1).

  See also:

  - add proc for appending a node
  - add proc for appending a value
  - prepend proc for prepending a value

  Example:

      var a = initSinglyLinkedRing[int]()
      let n = newSinglyLinkedNode[int](9)
      a.prepend(n)
      assert a.contains(9)

  Source Edit

    proc prepend[T](L: var SinglyLinkedRing[T]; value: T)

  Prepends (adds to the beginning) a value to `L`. Efficiency: O(1).

  See also:

  - add proc for appending a node
  - add proc for appending a value
  - prepend proc for prepending a node

  Example:

      var a = initSinglyLinkedRing[int]()
      a.prepend(9)
      a.prepend(8)
      assert a.contains(9)

  Source Edit

    proc prependMoved[T: SomeLinkedList](a, b: var T)

  Moves `b` before the head of `a`. Efficiency: O(1). Note that `b` becomes empty after the operation unless it has the same address as `a`. Self-prepending results in a cycle.

  See also:

  - prepend proc for prepending a copy of a list

  Example:

      import std/[sequtils, enumerate, sugar]
      var
        a = [4, 5].toSinglyLinkedList
        b = [1, 2, 3].toSinglyLinkedList
        c = [0, 1].toSinglyLinkedList
      a.prependMoved(b)
      assert a.toSeq == [1, 2, 3, 4, 5]
      assert b.toSeq == []
      c.prependMoved(c)
      let s = collect:
        for i, ci in enumerate(c):
          if i == 6: break
          ci
      assert s == [0, 1, 0, 1, 0, 1]

  Source Edit

    proc remove[T](L: var DoublyLinkedList[T]; n: DoublyLinkedNode[T])

  Removes a node `n` from `L`. Efficiency: O(1). This function assumes, for the sake of efficiency, that `n` is contained in `L`, otherwise the effects are undefined. When the list is cyclic, the cycle is preserved after removal.

  Example:

      import std/[sequtils, enumerate, sugar]
      var a = [0, 1, 2].toSinglyLinkedList
      let n = a.head.next
      assert n.value == 1
      a.remove(n)
      assert a.toSeq == [0, 2]
      a.remove(n)
      assert a.toSeq == [0, 2]
      a.addMoved(a) # cycle: [0, 2, 0, 2, ...]
      a.remove(a.head)
      let s = collect:
        for i, ai in enumerate(a):
          if i == 4: break
          ai
      assert s == [2, 2, 2, 2]

  Source Edit

    proc remove[T](L: var DoublyLinkedRing[T]; n: DoublyLinkedNode[T])

  Removes `n` from `L`. Efficiency: O(1). This function assumes, for the sake of efficiency, that `n` is contained in `L`, otherwise the effects are undefined.

  Example:

      var a = initDoublyLinkedRing[int]()
      let n = newDoublyLinkedNode[int](5)
      a.add(n)
      assert 5 in a
      a.remove(n)
      assert 5 notin a

  Source Edit

    proc remove[T](L: var SinglyLinkedList[T]; n: SinglyLinkedNode[T]): bool {.
        discardable.}

  Removes a node `n` from `L`. Returns `true` if `n` was found in `L`. Efficiency: O(n); the list is traversed until `n` is found. Attempting to remove an element not contained in the list is a no-op. When the list is cyclic, the cycle is preserved after removal.

  Example:

      import std/[sequtils, enumerate, sugar]
      var a = [0, 1, 2].toSinglyLinkedList
      let n = a.head.next
      assert n.value == 1
      assert a.remove(n) == true
      assert a.toSeq == [0, 2]
      assert a.remove(n) == false
      assert a.toSeq == [0, 2]
      a.addMoved(a) # cycle: [0, 2, 0, 2, ...]
      a.remove(a.head)
      let s = collect:
        for i, ai in enumerate(a):
          if i == 4: break
          ai
      assert s == [2, 2, 2, 2]

  Source Edit

    func toDoublyLinkedList[T](elems: openArray[T]): DoublyLinkedList[T]

  Creates a new `DoublyLinkedList` from the members of `elems`.

  Example:

      from std/sequtils import toSeq
      let a = [1, 2, 3, 4, 5].toDoublyLinkedList
      assert a.toSeq == [1, 2, 3, 4, 5]

  Source Edit

    func toDoublyLinkedRing[T](elems: openArray[T]): DoublyLinkedRing[T]

  Creates a new `DoublyLinkedRing` from the members of `elems`.

  Example:

      from std/sequtils import toSeq
      let a = [1, 2, 3, 4, 5].toDoublyLinkedRing
      assert a.toSeq == [1, 2, 3, 4, 5]

  Source Edit

    func toSinglyLinkedList[T](elems: openArray[T]): SinglyLinkedList[T]

  Creates a new `SinglyLinkedList` from the members of `elems`.

  Example:

      from std/sequtils import toSeq
      let a = [1, 2, 3, 4, 5].toSinglyLinkedList
      assert a.toSeq == [1, 2, 3, 4, 5]

  Source Edit

    func toSinglyLinkedRing[T](elems: openArray[T]): SinglyLinkedRing[T]

  Creates a new `SinglyLinkedRing` from the members of `elems`.

  Example:

      from std/sequtils import toSeq
      let a = [1, 2, 3, 4, 5].toSinglyLinkedRing
      assert a.toSeq == [1, 2, 3, 4, 5]

  Source Edit

# Iterators

    iterator items[T](L: SomeLinkedList[T]): T

  Yields every value of `L`.

  See also:

  - mitems iterator
  - nodes iterator

  Example:

      from std/sugar import collect
      from std/sequtils import toSeq
      let a = collect(initSinglyLinkedList):
        for i in 1..3: 10 * i
      assert toSeq(items(a)) == toSeq(a)
      assert toSeq(a) == @[10, 20, 30]

  Source Edit

    iterator items[T](L: SomeLinkedRing[T]): T

  Yields every value of `L`.

  See also:

  - mitems iterator
  - nodes iterator

  Example:

      from std/sugar import collect
      from std/sequtils import toSeq
      let a = collect(initSinglyLinkedRing):
        for i in 1..3: 10 * i
      assert toSeq(items(a)) == toSeq(a)
      assert toSeq(a) == @[10, 20, 30]

  Source Edit

    iterator mitems[T](L: var SomeLinkedList[T]): var T

  Yields every value of `L` so that you can modify it.

  See also:

  - items iterator
  - nodes iterator

  Example:

      var a = initSinglyLinkedList[int]()
      for i in 1..5:
        a.add(10 * i)
      assert $a == "[10, 20, 30, 40, 50]"
      for x in mitems(a):
        x = 5 * x - 1
      assert $a == "[49, 99, 149, 199, 249]"

  Source Edit

    iterator mitems[T](L: var SomeLinkedRing[T]): var T

  Yields every value of `L` so that you can modify it.

  See also:

  - items iterator
  - nodes iterator

  Example:

      var a = initSinglyLinkedRing[int]()
      for i in 1..5:
        a.add(10 * i)
      assert $a == "[10, 20, 30, 40, 50]"
      for x in mitems(a):
        x = 5 * x - 1
      assert $a == "[49, 99, 149, 199, 249]"

  Source Edit

    iterator nodes[T](L: SomeLinkedList[T]): SomeLinkedNode[T]

  Iterates over every node of `x`. Removing the current node from the list during traversal is supported.

  See also:

  - items iterator
  - mitems iterator

  Example:

      var a = initDoublyLinkedList[int]()
      for i in 1..5:
        a.add(10 * i)
      assert $a == "[10, 20, 30, 40, 50]"
      for x in nodes(a):
        if x.value == 30:
          a.remove(x)
        else:
          x.value = 5 * x.value - 1
      assert $a == "[49, 99, 199, 249]"

  Source Edit

    iterator nodes[T](L: SomeLinkedRing[T]): SomeLinkedNode[T]

  Iterates over every node of `x`. Removing the current node from the list during traversal is supported.

  See also:

  - items iterator
  - mitems iterator

  Example:

      var a = initDoublyLinkedRing[int]()
      for i in 1..5:
        a.add(10 * i)
      assert $a == "[10, 20, 30, 40, 50]"
      for x in nodes(a):
        if x.value == 30:
          a.remove(x)
        else:
          x.value = 5 * x.value - 1
      assert $a == "[49, 99, 199, 249]"

  Source Edit