68 lines
2.2 KiB
ReStructuredText
68 lines
2.2 KiB
ReStructuredText
Intrusive, single file, imperative AA tree that works on freestanding
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systems.
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The implementation is about 300 lines.
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BSD 2-Clause license.
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------------------
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What are AA Trees?
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------------------
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`AA Trees <https://user.it.uu.se/~arneande/ps/simp.pdf>`_ are a type of
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self-balancing binary tree. Unlike AVL trees or red-black trees, which
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store a constant amount of information per node, AA trees store the
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"level" of a node (which is approximately the height of the node from
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the bottom of the tree). This makes rebalancing operations much simpler:
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most of the code in this library is for handling standard binary tree
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operations.
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Theoretically, this limits the size of the binary tree to
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``2**(2**16-1)`` nodes, which is no problem in practice.
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This implementation is "intrusive", meaning that the node data structure
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does not contain the key or value stored in it. You need to define your
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own structure and search function like ::
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struct node {
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char *key;
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void *val;
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struct aatree node;
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};
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int node_cmp(struct aatree *a1, struct aatree *a2)
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{
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struct node *n1 = (void *)((char *)a1 - offsetof(struct node, node));
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struct node *n2 = (void *)((char *)a2 - offsetof(struct node, node));
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return strcmp(n1->key, n2->key);
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}
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This is standard, portable C99.
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-----------------
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Using the Library
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-----------------
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In *one* C file, do the following ::
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/* Optional declarations: */
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#define AATREE_PREFIX /* prefix of each function: put "declspec" or
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"static" here */
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#define AATREE_ASSERT /* Define this if you want the code to have
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asserts. Do not define if you do not want
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standard library asserts. */
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/* Mandatory declarations */
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#define AATREE_IMPL
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#include "aatree.h"
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This will include the implementation of the functions into the C file.
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If your project consists of more than one C file, then all you need to
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do is ``#include aatree.h``. The linker will take care of everything else.
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The library also includes it own test code for convienence. Define
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``AATREE_TEST`` to turn the header into a self-contained C file with a
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``main()`` function. See ``Makefile`` for an example of compiling the
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test.
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