4.2.3 Maximum Height [ToC] [Index]     [Skip Back]     [Prev] [Up] [Next]

For efficiency, some of the BST routines use a stack of a fixed maximum height. This maximum height affects the maximum number of nodes that can be fully supported by libavl in any given tree, because a binary tree of height n contains at most 2**n - 1 nodes.

The BST_MAX_HEIGHT macro sets the maximum height of a BST. The default value of 32 allows for trees with up to 2**32 - 1 = 4,294,967,295 nodes. On today's common 32-bit computers that support only 4 GB of memory at most, this is hardly a limit, because memory would be exhausted long before the tree became too big.

The BST routines that use fixed stacks also detect stack overflow and call a routine to “balance” or restructure the tree in order to reduce its height to the permissible range. The limit on the BST height is therefore not a severe restriction. 

28. <BST maximum height 28> =
/* Maximum BST height. */
#ifndef BST_MAX_HEIGHT
#define BST_MAX_HEIGHT 32
#endif

This code is included in 24, 142, 297, 415, and 519.

Exercises:

1. Suggest a reason why the BST_MAX_HEIGHT macro is defined conditionally. Are there any potential pitfalls? [answer]