Red-Black Tree
--------------

Macros
~~~~~~

`RBTREE_INIT`::
Initialize a `rbtree` structure. +
should only be used with the declaration like:
+
----
rbtree tree = RBTREE_INIT(...);
----
+
the arguments are pointers to callback functions, in order: `delete_fn`, `update_fn`, `cmp_fn`

Data structures
~~~~~~~~~~~~~~~

* `rbtree`
+
--
Structure that holds a tree of nodes

`root`::
    Pointer to the node that is the root of the tree.

`delete_fn`::
    Pointer to the function that should handle the delete routines for the `key` pointer.

`update_fn`::
    Pointer to the function that is called when the implementation performs an update of an `key` pointer. +
    The function gets the following information passed in order: old pointer, new pointer.

NOTE: You may only need this if you store the data in another structure and has to keep it synchronized with the RB-tree.

`cmp_fn`::
    Pointer to the function that is used to compare two `key` pointers. +
    Shall return a value greater than zero if 'ptr1' > 'ptr2', a value less than zero if 'ptr1' < 'ptr2' and zero if 'ptr1' == 'ptr2'.
--

Functions
~~~~~~~~~

`rbtree_insert()`::

    Creates and inserts a new node in the tree. +
    If provided, calls `rbtree->update_fn` and `rbtree->delete_fn` if a node should be updated. +
    Returns nonzero if a new node was inserted or updated, zero otherwise.

NOTE: The memory pointed to by the 'key' pointer is *not* copied so you must ensure that it has a infinite lifetime.

`rbtree_delete()`::

    Deletes a node from the tree. if provided, calls `rbtree->delete_fn` for the node. +
    Returns nonzero if a node was removed, zero otherwise.
    
`rbtree_free()`::

    Deletes the whole tree. if provided, calls `rbtree->delete_fn` for every node.
    
`rbtree_walk()`::

    Walks the tree in-order and passes a pointer to `key`
    for the given node to the 'action' callback function.

`rbtree_search()`::

    Searches the tree for 'key'. +
    Returns a pointer to the node if found else `NULL`.

`rbtree_is_empty()`::

    Checks if a tree is empty, retruns zero if the tree is empty, nonzero otherwise.