.. llist documentation master file, created by
   sphinx-quickstart on Tue Dec 20 01:58:56 2011.
   You can adapt this file completely to your liking, but it should at least
   contain the root `toctree` directive.

:mod:`llist` --- Linked list datatypes for Python
=================================================

.. module:: llist
   :synopsis: Linked list datatypes for Python

.. moduleauthor:: Timothy Savannah <kata198@gmail.com>
.. moduleauthor:: Adam Jakubek <ajakubek@gmail.com>
.. moduleauthor:: Rafał Gałczyński <rafal.galczynski@gmail.com>

This module implements linked list data structures.
Currently two types of lists are supported: a doubly linked :class:`dllist`
and a singly linked :class:`sllist`.

All data types defined in this module support efficient O(1) insertion
and removal of elements (except removal in :class:`sllist` which is O(n)).
Random access to elements using index is O(n).


:class:`dllist` objects
-----------------------

.. class:: dllist([iterable])

   Return a new doubly linked list initialized with elements from *iterable*.
   If *iterable* is not specified, the new :class:`dllist` is empty.

   dllist objects provide the following attributes:

   .. attribute:: first

      First :class:`dllistnode` object in the list. `None` if list is empty.
      This attribute is read-only.

   .. attribute:: last

      Last :class:`dllistnode` object in the list. `None` if list is empty.
      This attribute is read-only.

   .. attribute:: size

      Number of elements in the list. 0 if list is empty.
      This attribute is read-only.

   dllist objects also support the following methods (all methods below have
   O(1) time complexity unless specifically documented otherwise):

   .. method:: append(x)

      Add *x* to the right side of the list and return inserted
      :class:`dllistnode`.

      Argument *x* might be a :class:`dllistnode`. In that case a new
      node will be created and initialized with the value extracted from *x*.

   .. method:: appendleft(x)

      Add *x* to the left side of the list and return inserted
      :class:`dllistnode`.

      Argument *x* might be a :class:`dllistnode`. In that case a new
      node will be created and initialized with the value extracted from *x*.

   .. method:: appendright(x)

      Add *x* to the right side of the list and return inserted
      :class:`dllistnode` (synonymous with :meth:`append`).

      Argument *x* might be a :class:`dllistnode`. In that case a new
      node will be created and initialized with the value extracted from *x*.

   .. method:: clear()

      Remove all nodes from the list.

   .. method:: extend(iterable)

      Append elements from *iterable* to the right side of the list.

   .. method:: extendleft(iterable)

      Append elements from *iterable* to the left side of the list.
      Note that elements will be appended in reversed order.

   .. method:: extendright(iterable)

      Append elements from *iterable* to the right side of the list
      (synonymous with :meth:`extend`).

   .. method:: insert(x, [before])

      Add *x* to the right side of the list if *before* is not specified,
      or insert *x* to the left side of :class:`dllistnode` *before*.
      Return inserted :class:`dllistnode`.

      Argument *x* might be a :class:`dllistnode`. In that case a new
      node will be created and initialized with the value extracted from *x*.

      Raises :exc:`TypeError` if *before* is not of type
      :class:`dllistnode`.

      Raises :exc:`ValueError` if *before* does not belong to *self*.

   .. method:: nodeat(index)

      Return node (of type :class:`dllistnode`) at *index*.
      Negative indices are allowed (to count nodes from the right).

      Raises :exc:`TypeError` if *index* is not an integer.

      Raises :exc:`IndexError` if *index* is out of range.

      This method has O(n) complexity, but most recently accessed node is
      cached, so that accessing its neighbours is O(1).
      Note that inserting/deleting a node in the middle of the list will
      invalidate this cache.

   .. method:: pop()

      Remove and return an element's value from the right side of the list.

      Raises :exc:`ValueError` if *self* is empty.

   .. method:: popleft()

      Remove and return an element's value from the left side of the list.

      Raises :exc:`ValueError` if *self* is empty.

   .. method:: popright()

      Remove and return an element's value from the right side of the list
      (synonymous with :meth:`pop`).

      Raises :exc:`ValueError` if *self* is empty.

   .. method:: remove(node)

      Remove *node* from the list and return the element which was
      stored in it.

      Raises :exc:`TypeError` if *node* is not of type :class:`dllistnode`.

      Raises :exc:`ValueError` if *self* is empty, or *node* does
      not belong to *self*.

   .. method:: rotate(n)

      Rotate the list *n* steps to the right. If *n* is negative, rotate
      to the left. If *n* is 0, do nothing.

      Raises :exc:`TypeError` if *n* is not an integer.

      This method has O(n) time complexity (with regards to the size of
      the list).


   In addition to these methods, :class:`dllist` supports iteration,
   ``cmp(lst1, lst2)``, rich comparison operators, constant time ``len(lst)``,
   ``hash(lst)`` and subscript references ``lst[1234]`` for accessing elements
   by index.

   Indexed access has O(n) complexity, but most recently accessed node is
   cached, so that accessing its neighbours is O(1).
   Note that inserting/deleting a node in the middle of the list will
   invalidate this cache.

   Subscript references like ``v = lst[1234]`` return values stored in nodes.
   Negative indices are allowed (to count nodes from the right).

   Iteration over :class:`dllist` elements (using *for* or list
   comprehensions) will also directly yield values stored in nodes.

   Like most containers, :class:`dllist` objects can be extended using
   ``lst1 + lst2`` and ``lst * num`` syntax (including in-place ``+=``
   and ``*=`` variants of these operators).

   Example:

   .. doctest::

      >>> from llist import dllist, dllistnode

      >>> empty_lst = dllist()          # create an empty list
      >>> print(empty_lst)
      dllist()

      >>> print(len(empty_lst))         # display length of the list
      0
      >>> print(empty_lst.size)
      0

      >>> print(empty_lst.first)        # display the first node (nonexistent)
      None
      >>> print(empty_lst.last)         # display the last node (nonexistent)
      None

      >>> lst = dllist([1, 2, 3])       # create and initialize a list
      >>> print(lst)                    # display elements in the list
      dllist([1, 2, 3])

      >>> print(len(lst))               # display length of the list
      3
      >>> print(lst.size)
      3

      >>> print(lst.nodeat(0))          # access nodes by index
      dllistnode(1)
      >>> print(lst.nodeat(1))
      dllistnode(2)
      >>> print(lst.nodeat(2))
      dllistnode(3)

      >>> print(lst[0])                 # access elements by index
      1
      >>> print(lst[1])
      2
      >>> print(lst[2])
      3

      >>> node = lst.first              # get the first node (same as lst[0])
      >>> print(node)
      dllistnode(1)

      >>> print(node.value)             # get value of node
      1
      >>> print(node())                 # get value of node
      1
      >>> print(node.prev)              # get the previous node (nonexistent)
      None
      >>> print(node.next)              # get the next node
      dllistnode(2)
      >>> print(node.next.value)        # get value of the next node
      2

      >>> for value in lst:             # iterate over list elements
      ...     print(value * 2)
      2
      4
      6

      >>> lst.appendright(4)            # append value to the right side of the list
      <dllistnode(4)>
      >>> print(lst)
      dllist([1, 2, 3, 4])
      >>> new_node = dllistnode(5)
      >>> lst.appendright(new_node)     # append value from a node
      <dllistnode(5)>
      >>> print(lst)
      dllist([1, 2, 3, 4, 5])
      >>> lst.appendleft(0)             # append value to the left side of the list
      <dllistnode(0)>
      >>> print(lst)
      dllist([0, 1, 2, 3, 4, 5])

      >>> lst.extendright([6, 7, 8])    # right-extend list with elements from iterable
      >>> print(lst)
      dllist([0, 1, 2, 3, 4, 5, 6, 7, 8])
      >>> lst.extendleft([-1, -2, -3])  # left-extend list with elements from iterable
      >>> print(lst)
      dllist([-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8])

      >>> lst = dllist([0, 1, 2, 3, 4, 5])
      >>> node = lst.nodeat(2)
      >>> lst.insert(1.5, node)         # insert 1.5 before node
      <dllistnode(1.5)>
      >>> print(lst)
      dllist([0, 1, 1.5, 2, 3, 4, 5])
      >>> lst.insert(6)                 # append value to the right side of the list
      <dllistnode(6)>
      >>> print(lst)
      dllist([0, 1, 1.5, 2, 3, 4, 5, 6])

      >>> lst.popleft()                 # remove leftmost node from the list
      0
      >>> print(lst)
      dllist([1, 1.5, 2, 3, 4, 5, 6])
      >>> lst.popright()                # remove rightmost node from the list
      6
      >>> print(lst)
      dllist([1, 1.5, 2, 3, 4, 5])
      >>> node = lst.nodeat(1)
      >>> lst.remove(node)              # remove 2nd node from the list
      1.5
      >>> print(lst)
      dllist([1, 2, 3, 4, 5])
      >>> foreign_node = dllistnode()   # create an unassigned node
      >>> lst.remove(foreign_node)      # try to remove node not present in the list
      Traceback (most recent call last):
        File "/usr/lib/python2.6/doctest.py", line 1253, in __run
          compileflags, 1) in test.globs
        File "<doctest default[39]>", line 1, in <module>
          lst.remove(foreign_node)
      ValueError: dllistnode belongs to another list
      >>> lst.clear()
      >>> print(lst)
      dllist()

      >>> lst = dllist([1, 2, 3, 4, 5])
      >>> lst.rotate(2)
      >>> print(lst)
      dllist([4, 5, 1, 2, 3])
      >>> lst = dllist([1, 2, 3, 4, 5])
      >>> lst.rotate(-2)
      >>> print(lst)
      dllist([3, 4, 5, 1, 2])

      >>> dllist() == dllist([])        # list comparison (lexicographical order)
      True
      >>> dllist() != dllist([])
      False
      >>> dllist([1, 2, 3]) < dllist([1, 3, 3])
      True
      >>> dllist([1, 2]) > dllist([1, 2, 3])
      False
      >>> dllist([1, 2, 3]) <= dllist()
      False
      >>> dllist([1, 2, 3]) >= dllist([1, 2, 3])
      True

      >>> lst1 = dllist([1, 2, 3, 4])   # extending lists
      >>> lst2 = dllist([5, 6, 7, 8])
      >>> ext_lst = lst1 + lst2
      >>> print(ext_lst)
      dllist([1, 2, 3, 4, 5, 6, 7, 8])

      >>> lst = dllist([1, 2, 3, 4])
      >>> ext_lst = lst * 2
      >>> print(ext_lst)
      dllist([1, 2, 3, 4, 1, 2, 3, 4])


:class:`dllistnode` objects
---------------------------

.. class:: dllistnode([value])

   Return a new doubly linked list node, initialized (optionally)
   with *value*.

   dllistnode objects provide the following attributes:

   .. attribute:: next

      Next node in the list. This attribute is read-only.

   .. attribute:: prev

      Previous node in the list. This attribute is read-only.

   .. attribute:: value

      Value stored in this node.

   Note that value stored in the node can also be obtained through
   the :meth:`__call__()` method (using standard ``node()`` syntax).


:class:`dllistiterator` objects
-------------------------------

.. class:: dllistiterator

   Return a new doubly linked list iterator.

   dllistiterator objects are not meant to be created by user.
   They are returned by the :meth:`dllist.__iter__()` method to hold
   iteration state.

   Note that iteration using :class:`dllistiterator` interface will
   directly yield values stored in nodes, not :class:`dllistnode`
   objects.

   Example:

   .. doctest::

      >>> from llist import dllist
      >>> lst = dllist([1, 2, 3])
      >>> for value in lst:
      ...     print(value * 2)
      2
      4
      6


:class:`sllist` objects
-----------------------

.. class:: sllist([iterable])

   Return a new singly linked list initialized with elements from *iterable*.
   If *iterable* is not specified, the new :class:`sllist` is empty.

   sllist objects provide the following attributes:

   .. attribute:: first

      First :class:`sllistnode` object in the list. `None` if list is empty.
      This attribute is read-only.

   .. attribute:: last

      Last :class:`sllistnode` object in the list. `None` if list is empty.
      This attribute is read-only.

   .. attribute:: size

      Number of elements in the list. 0 if list is empty.
      This attribute is read-only.

   sllist objects also support the following methods:

   .. method:: append(x)

      Add *x* to the right side of the list and return inserted
      :class:`sllistnode`.

      Argument *x* might be a :class:`sllistnode`. In that case a new
      node will be created and initialized with the value extracted from *x*.

      This method has O(1) complexity.

   .. method:: appendleft(x)

      Add *x* to the left side of the list and return inserted
      :class:`sllistnode`.

      Argument *x* might be a :class:`sllistnode`. In that case a new
      node will be created and initialized with the value extracted from *x*.

      This method has O(1) complexity.

   .. method:: appendright(x)

      Add *x* to the right side of the list and return inserted
      :class:`sllistnode`.

      Argument *x* might be a :class:`sllistnode`. In that case a new
      node will be created and initialized with the value extracted from *x*.

      This method has O(1) complexity.

   .. method:: clear()

      Remove all nodes from the list.

   .. method:: extend(iterable)

      Append elements from *iterable* to the right side of the list.

      This method has O(n) complexity (in the size of *iterable*).

   .. method:: extendleft(iterable)

      Append elements from *iterable* to the left side of the list.
      Note that elements will be appended in reversed order.

      This method has O(n) complexity (in the size of *iterable*).

   .. method:: extendright(iterable)

      Append elements from *iterable* to the right side of the list
      (synonymous with :meth:`extend`).

      This method has O(n) complexity (in the size of *iterable*).

   .. method:: insertafter(x, node)

      Inserts *x* after *node* and return inserted :class:`sllistnode`.

      Argument *x* might be a :class:`sllistnode`. In that case a new
      node will be created and initialized with the value extracted from *x*.

      Raises :exc:`TypeError` if *node* is not of type :class:`sllistnode`.

      Raises :exc:`ValueError` if *before* does not belong to *self*.

      This method has O(1) complexity.

   .. method:: insertbefore(x, node)

      Inserts *x* before *node* and return inserted :class:`sllistnode`.

      Argument *x* might be a :class:`sllistnode`. In that case a new
      node will be created and initialized with the value extracted from *x*.

      Raises :exc:`TypeError` if *node* is not of type :class:`sllistnode`.

      Raises :exc:`ValueError` if *before* does not belong to *self*.

      This method has O(n) complexity.

   .. method:: nodeat(index)

      Return node (of type :class:`sllistnode`) at *index*.
      Negative indices are allowed (to count nodes from the right).

      Raises :exc:`TypeError` if *index* is not an integer.

      Raises :exc:`IndexError` if *index* is out of range.

      This method has O(n) complexity.

   .. method:: pop()

      Remove and return an element's value from the right side of the list.

      Raises :exc:`ValueError` if *self* is empty.

      This method has O(n) time complexity.

   .. method:: popleft()

      Remove and return an element's value from the left side of the list.

      Raises :exc:`ValueError` if *self* is empty.

      This method has O(1) time complexity.

   .. method:: popright()

      Remove and return an element's value from the right side of the list.

      Raises :exc:`ValueError` if *self* is empty.

      This method has O(n) time complexity.

   .. method:: remove(node)

      Remove *node* from the list.

      Raises :exc:`TypeError` if *node* is not of type :class:`sllistnode`.

      Raises :exc:`ValueError` if *self* is empty, or *node* does
      not belong to *self*.

      This method has O(n) time complexity.

   .. method:: rotate(n)

      Rotate the list *n* steps to the right. If *n* is negative, rotate
      to the left. If *n* is 0, do nothing.

      Raises :exc:`TypeError` if *n* is not an integer.

      This method has O(n) time complexity (with regards to the size of
      the list).


   In addition to these methods, :class:`sllist` supports iteration,
   ``cmp(lst1, lst2)``, rich comparison operators, constant time ``len(lst)``,
   ``hash(lst)`` and subscript references ``lst[1234]`` for accessing elements
   by index.

   Subscript references like ``v = lst[1234]`` return values stored in nodes.
   Negative indices are allowed (to count nodes from the right).

   Iteration over :class:`sllist` elements (using *for* or list
   comprehensions) will also directly yield values stored in nodes.

   Like most containers, :class:`sllist` objects can be extended using
   ``lst1 + lst2`` and ``lst * num`` syntax (including in-place ``+=``
   and ``*=`` variants of these operators).

   Example:

   .. doctest::

      >>> from llist import sllist, sllistnode

      >>> empty_lst = sllist()          # create an empty list
      >>> print(empty_lst)
      sllist()

      >>> print(len(empty_lst))         # display length of the list
      0
      >>> print(empty_lst.size)
      0

      >>> print(empty_lst.first)        # display the first node (nonexistent)
      None
      >>> print(empty_lst.last)         # display the last node (nonexistent)
      None

      >>> lst = sllist([1, 2, 3])       # create and initialize a list
      >>> print(lst)                    # display elements in the list
      sllist([1, 2, 3])

      >>> print(len(lst))               # display length of the list
      3
      >>> print(lst.size)
      3

      >>> print(lst.nodeat(0))          # access nodes by index
      sllistnode(1)
      >>> print(lst.nodeat(1))
      sllistnode(2)
      >>> print(lst.nodeat(2))
      sllistnode(3)

      >>> print(lst[0])                 # access elements by index
      1
      >>> print(lst[1])
      2
      >>> print(lst[2])
      3

      >>> node = lst.first              # get the first node (same as lst[0])
      >>> print(node)
      sllistnode(1)

      >>> print(node.value)             # get value of node
      1
      >>> print(node())                 # get value of node
      1
      >>> print(node.next)              # get the next node
      sllistnode(2)
      >>> print(node.next.value)        # get value of the next node
      2

      >>> for value in lst:             # iterate over list elements
      ...     print(value * 2)
      2
      4
      6

      >>> lst.appendright(4)            # append value to the right side of the list
      <sllistnode(4)>
      >>> print(lst)
      sllist([1, 2, 3, 4])
      >>> new_node = sllistnode(5)
      >>> lst.appendright(new_node)     # append value from a node
      <sllistnode(5)>
      >>> print(lst)
      sllist([1, 2, 3, 4, 5])
      >>> lst.appendleft(0)             # append value to the left side of the list
      <sllistnode(0)>
      >>> print(lst)
      sllist([0, 1, 2, 3, 4, 5])

      >>> lst.extendright([6, 7, 8])    # right-extend list with elements from iterable
      >>> print(lst)
      sllist([0, 1, 2, 3, 4, 5, 6, 7, 8])
      >>> lst.extendleft([-1, -2, -3])  # left-extend list with elements from iterable
      >>> print(lst)
      sllist([-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8])

      >>> lst = sllist([0, 1, 2, 3, 4, 5])
      >>> node = lst.nodeat(2)
      >>> lst.insertbefore(1.5, node)  # insert 1.5 before node
      <sllistnode(1.5)>
      >>> print(lst)
      sllist([0, 1, 1.5, 2, 3, 4, 5])
      >>> lst.insertafter(2.5, node)   # insert 2.5 after node
      <sllistnode(2.5)>
      >>> print(lst)
      sllist([0, 1, 1.5, 2, 2.5, 3, 4, 5])

      >>> lst.popleft()                 # remove leftmost node from the list
      0
      >>> print(lst)
      sllist([1, 1.5, 2, 2.5, 3, 4, 5])
      >>> lst.popright()                # remove rightmost node from the list
      5
      >>> print(lst)
      sllist([1, 1.5, 2, 2.5, 3, 4])
      >>> node = lst.nodeat(1)
      >>> lst.remove(node)              # remove 2nd node from the list
      1.5
      >>> print(lst)
      sllist([1, 2, 2.5, 3, 4])
      >>> foreign_node = sllistnode()   # create an unassigned node
      >>> lst.remove(foreign_node)      # try to remove node not present in the list
      Traceback (most recent call last):
        File "/usr/lib/python2.6/doctest.py", line 1253, in __run
          compileflags, 1) in test.globs
        File "<doctest default[39]>", line 1, in <module>
          lst.remove(foreign_node)
      ValueError: sllistnode belongs to another list
      >>> lst.clear()
      >>> print(lst)
      sllist()

      >>> lst = sllist([1, 2, 3, 4, 5])
      >>> lst.rotate(2)
      >>> print(lst)
      sllist([4, 5, 1, 2, 3])
      >>> lst = sllist([1, 2, 3, 4, 5])
      >>> lst.rotate(-2)
      >>> print(lst)
      sllist([3, 4, 5, 1, 2])

      >>> sllist() == sllist([])        # list comparison (lexicographical order)
      True
      >>> sllist() != sllist([])
      False
      >>> sllist([1, 2, 3]) < sllist([1, 3, 3])
      True
      >>> sllist([1, 2]) > sllist([1, 2, 3])
      False
      >>> sllist([1, 2, 3]) <= sllist()
      False
      >>> sllist([1, 2, 3]) >= sllist([1, 2, 3])
      True

      >>> lst1 = sllist([1, 2, 3, 4])   # extending lists
      >>> lst2 = sllist([5, 6, 7, 8])
      >>> ext_lst = lst1 + lst2
      >>> print(ext_lst)
      sllist([1, 2, 3, 4, 5, 6, 7, 8])

      >>> lst = sllist([1, 2, 3, 4])
      >>> ext_lst = lst * 2
      >>> print(ext_lst)
      sllist([1, 2, 3, 4, 1, 2, 3, 4])


:class:`sllistnode` objects
---------------------------

.. class:: sllistnode([value])

   Return a new singly linked list node, initialized (optionally)
   with *value*.

   sllistnode objects provide the following attributes:

   .. attribute:: next

      Next node in the list. This attribute is read-only.

   .. attribute:: value

      Value stored in this node.

   Note that value stored in the node can also be obtained through
   the :meth:`__call__()` method (using standard ``node()`` syntax).


:class:`sllistiterator` objects
-------------------------------

.. class:: sllistiterator

   Return a new singly linked list iterator.

   sllistiterator objects are not meant to be created by user.
   They are returned by the :meth:`sllist.__iter__()` method to hold
   iteration state.

   Note that iteration using :class:`sllistiterator` interface will
   directly yield values stored in nodes, not :class:`sllistnode`
   objects.

   Example:

   .. doctest::

      >>> from llist import sllist
      >>> lst = sllist([1, 2, 3])
      >>> for value in lst:
      ...     print(value * 2)
      2
      4
      6


Changes
=======

.. include:: ../CHANGES


Copyright
=========

This module is copyrighted by Adam Jakubek and Rafał Gałczyński.

It is distributed under the MIT license. Please see the LICENSE file
included in this package for more details.


Indices and tables
==================

* :ref:`genindex`
* :ref:`modindex`
* :ref:`search`

