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PVOID RtlRealInsertElementWorker( TABLE *pTable, PVOID ElementData, ULONG ElementSize, BOOLEAN *pResult OPTIONAL, NODE *pNode, ULONG SearchResult );

Also, because RtlInsertElementGenericTable returns the return value of RtlRealInsertElementWorker, you can also update the prototype for RtlInsertElementGenericTable.

6

90% con dence 0.005 0.01 0.02 0.03 0.04 0.05 0.1 0.2 0.3 0.4 0.5 nC 100,000 25,000 6,250 2,778 1,563 1000 250 63 28 16 10 nN 27,056 6,764 1,691 752 423 271 68 17 8 5 3

PVOID NTAPI RtlInsertElementGenericTable( TABLE *pTable, PVOID ElementData, ULONG DataLength, BOOLEAN *pResult OPTIONAL, );

At this point, one thing you re still not sure about is that RtlSplay function I will not include it here because it is quite long and convoluted, and on top of that it appears to be distributed throughout the module, which makes it even more difficult to read The fact is that you can pretty much start using the generic table without understanding RtlSplay, but you should probably still take a quick look at what it does, just to make sure you fully understand the generic table data structure The algorithm implemented in RtlSplay is quite involved, but a quick examination of what it does shows that it has something to do with the rebalancing of the tree structure In binary trees, rebalancing is the process of restructuring the tree so that the elements are divided as evenly as possible under each side of each node.

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95% con dence nC 200,000 50,000 12,500 5,556 3,125 2000 500 125 56 32 20 nN 38,415 9,604 2,401 1,068 600 385 97 25 11 4 4

Normally, rebalancing means that an algorithm must check that the root node actually represents the median value represented by the tree However, because elements in the generic table are userdefined, RtlSplay would have to make a callback into the user s code in order to compare elements, and there is no such callback in this function A more careful inspection of RtlSplay reveals that it s basically taking the specified node and moving it upward in the tree (you might want to run RtlSplay in a debugger in order to get a clear view of this process) Eventually, the function returns the pointer to the same node it originally starts with, except that now this node is the root of the entire tree, and the rest of the elements are distributed between the current element s left and right child nodes.

more than 0.1. For 1000 trials one would expect 90% con dence that the error is less than 0.025 and 95% con dence that it is less than 0.03. In fact, the error in the Hit-or-Miss strategy is 0.021 and in the Sample Mean strategy is about 0.004. It should be noted that Trial Number 9 in Table 17.1 presents an unusual result. It has the largest error observed in several repeated runs of the numerical experiment. However, it does represent the sort of result that can be expected in Monte Carlo simulation and is consistent with the calculated error bounds.

Once I realized that this is what RtlSplay does the picture became a bit clearer It turns out that the generic table is implemented using a splay tree [Tarjan] Robert Endre Tarjan, Daniel Dominic Sleator Self-adjusting binary search trees Journal of the ACM (JACM) Volume 32 , Issue 3, July 1985, which is essentially a binary tree with a unique organization scheme The problem of properly organizing a binary tree has been heavily researched and there are quite a few techniques that deal with it (If you re patient, Knuth provides an in-depth examination of most of them in [Knuth3] Donald E Knuth The Art of Computer Programming Volume 3: Sorting and Searching (Second Edition) Addison Wesley The primary goal is, of course, to be able to reach elements using the lowest possible number of iterations.

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