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https://github.com/reactos/reactos.git
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396 lines
13 KiB
C
396 lines
13 KiB
C
/*
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* PROJECT: ReactOS Runtime Library
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* LICENSE: BSD - See COPYING.ARM in the top level directory
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* FILE: lib/rtl/avlsupp.c
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* PURPOSE: AVL Tree Internal Support Routines/Main Algorithms
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* PROGRAMMERS: ReactOS Portable Systems Group
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*/
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/* INCLUDES ******************************************************************/
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/* Internal header for table entries */
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typedef struct _TABLE_ENTRY_HEADER
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{
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RTL_BALANCED_LINKS BalancedLinks;
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LONGLONG UserData;
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} TABLE_ENTRY_HEADER, *PTABLE_ENTRY_HEADER;
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typedef enum _RTL_AVL_BALANCE_FACTOR
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{
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RtlUnbalancedAvlTree = -2,
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RtlLeftHeavyAvlTree,
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RtlBalancedAvlTree,
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RtlRightHeavyAvlTree,
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} RTL_AVL_BALANCE_FACTOR;
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C_ASSERT(RtlBalancedAvlTree == 0);
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/* FUNCTIONS ******************************************************************/
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FORCEINLINE
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TABLE_SEARCH_RESULT
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RtlpFindAvlTableNodeOrParent(IN PRTL_AVL_TABLE Table,
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IN PVOID Buffer,
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OUT PRTL_BALANCED_LINKS *NodeOrParent)
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{
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PRTL_BALANCED_LINKS CurrentNode, ChildNode;
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RTL_GENERIC_COMPARE_RESULTS Result;
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/* Quick check to see if the table is empty */
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if (!Table->NumberGenericTableElements) return TableEmptyTree;
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/* Set the current node */
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CurrentNode = RtlRightChildAvl(&Table->BalancedRoot);
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/* Start compare loop */
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while (TRUE)
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{
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/* Compare which side is greater */
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Result = RtlpAvlCompareRoutine(Table,
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Buffer,
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&((PTABLE_ENTRY_HEADER)CurrentNode)->
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UserData);
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if (Result == GenericLessThan)
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{
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/* We're less, check if this is the left child */
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ChildNode = RtlLeftChildAvl(CurrentNode);
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if (ChildNode)
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{
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/* Continue searching from this node */
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CurrentNode = ChildNode;
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}
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else
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{
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/* Otherwise, the element isn't in this tree */
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*NodeOrParent = CurrentNode;
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return TableInsertAsLeft;
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}
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}
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else if (Result == GenericGreaterThan)
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{
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/* We're more, check if this is the right child */
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ChildNode = RtlRightChildAvl(CurrentNode);
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if (ChildNode)
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{
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/* Continue searching from this node */
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CurrentNode = ChildNode;
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}
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else
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{
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/* Otherwise, the element isn't in this tree */
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*NodeOrParent = CurrentNode;
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return TableInsertAsRight;
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}
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}
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else
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{
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/* We should've found the node */
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ASSERT(Result == GenericEqual);
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/* Return node found */
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*NodeOrParent = CurrentNode;
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return TableFoundNode;
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}
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}
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}
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FORCEINLINE
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VOID
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RtlpPromoteAvlTreeNode(IN PRTL_BALANCED_LINKS Node)
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{
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PRTL_BALANCED_LINKS ParentNode, SuperParentNode;
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PRTL_BALANCED_LINKS *SwapNode1, *SwapNode2;
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/* Grab parents up to 2 levels high */
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ParentNode = RtlParentAvl(Node);
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SuperParentNode = RtlParentAvl(ParentNode);
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/* Pick which nodes will be rotated */
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SwapNode1 = RtlIsLeftChildAvl(Node) ? &ParentNode->LeftChild : &ParentNode->RightChild;
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SwapNode2 = RtlIsLeftChildAvl(Node) ? &Node->RightChild : &Node->LeftChild;
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/* Do the rotate, and update the parent and super-parent as needed */
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*SwapNode1 = *SwapNode2;
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if (*SwapNode1) RtlSetParent(*SwapNode1, ParentNode);
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*SwapNode2 = ParentNode;
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RtlSetParent(ParentNode, Node);
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/* Now update the super-parent child link, and make it parent of the node*/
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SwapNode1 = (RtlLeftChildAvl(SuperParentNode) == ParentNode) ?
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&SuperParentNode->LeftChild: &SuperParentNode->RightChild;
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*SwapNode1 = Node;
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RtlSetParent(Node, SuperParentNode);
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}
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FORCEINLINE
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BOOLEAN
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RtlpRebalanceAvlTreeNode(IN PRTL_BALANCED_LINKS Node)
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{
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PRTL_BALANCED_LINKS ChildNode, SubChildNode;
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CHAR Balance;
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ASSERT(RtlParentAvl(Node) != Node);
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/* Get the balance, and figure out which child node to go down on */
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Balance = RtlBalance(Node);
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ChildNode = (Balance == RtlRightHeavyAvlTree) ?
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RtlRightChildAvl(Node) : RtlLeftChildAvl(Node);
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/* The child and node have the same balance, promote the child upwards */
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if (RtlBalance(ChildNode) == Balance)
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{
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/* This performs the rotation described in Knuth A8-A10 for Case 1 */
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RtlpPromoteAvlTreeNode(ChildNode);
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/* The nodes are now balanced */
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RtlSetBalance(ChildNode, RtlBalancedAvlTree);
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RtlSetBalance(Node, RtlBalancedAvlTree);
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return FALSE;
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}
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/* The child has the opposite balance, a double promotion of the child's child must happen */
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if (RtlBalance(ChildNode) == -Balance)
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{
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/* Pick which sub-child to use based on the balance */
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SubChildNode = (Balance == RtlRightHeavyAvlTree) ?
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RtlLeftChildAvl(ChildNode) : RtlRightChildAvl(ChildNode);
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/* Do the double-rotation described in Knuth A8-A10 for Case 2 */
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RtlpPromoteAvlTreeNode(SubChildNode);
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RtlpPromoteAvlTreeNode(SubChildNode);
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/* Was the sub-child sharing the same balance as the node? */
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if (RtlBalance(SubChildNode) == Balance)
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{
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/* Then the subchild is now balanced, and the node's weight is inversed */
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RtlSetBalance(ChildNode, RtlBalancedAvlTree);
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RtlSetBalance(Node, -Balance);
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}
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else if (RtlBalance(SubChildNode) == -Balance)
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{
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/*
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* In this case, the sub-child weight was the inverse of the node, so
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* the child now shares the node's balance original weight, while the
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* node becomes balanced.
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*/
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RtlSetBalance(ChildNode, Balance);
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RtlSetBalance(Node, RtlBalancedAvlTree);
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}
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else
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{
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/*
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* Otherwise, the sub-child was unbalanced, so both the child and node
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* now become balanced.
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*/
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RtlSetBalance(ChildNode, RtlBalancedAvlTree);
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RtlSetBalance(Node, RtlBalancedAvlTree);
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}
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/* In all cases, the sub-child is now balanced */
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RtlSetBalance(SubChildNode, RtlBalancedAvlTree);
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return FALSE;
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}
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/*
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* The case that remains is that the child was already balanced, so this is
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* This is the rotation required for Case 3 in Knuth A8-A10
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*/
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RtlpPromoteAvlTreeNode(ChildNode);
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/* Now the child has the opposite weight of the node */
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RtlSetBalance(ChildNode, -Balance);
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/* This only happens on deletion, so we return TRUE to terminate the delete */
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return TRUE;
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}
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FORCEINLINE
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VOID
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RtlpInsertAvlTreeNode(IN PRTL_AVL_TABLE Table,
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IN PRTL_BALANCED_LINKS NewNode,
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IN OUT PVOID NodeOrParent,
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IN OUT TABLE_SEARCH_RESULT SearchResult)
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{
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CHAR Balance;
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/* Initialize the new inserted element */
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MI_ASSERT(SearchResult != TableFoundNode);
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NewNode->LeftChild = NewNode->RightChild = NULL;
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RtlSetBalance(NewNode, RtlBalancedAvlTree);
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/* Increase element count */
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Table->NumberGenericTableElements++;
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/* Check where we should insert the entry */
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if (SearchResult == TableEmptyTree)
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{
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/* This is the new root node */
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RtlInsertAsRightChildAvl(&Table->BalancedRoot, NewNode);
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/* On AVL trees, we also update the depth */
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ASSERT(Table->DepthOfTree == 0);
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Table->DepthOfTree = 1;
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return;
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}
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else if (SearchResult == TableInsertAsLeft)
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{
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/* Insert it left */
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RtlInsertAsLeftChildAvl(NodeOrParent, NewNode);
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}
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else
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{
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/* Right node */
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RtlInsertAsRightChildAvl(NodeOrParent, NewNode);
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}
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/* Little cheat to save on loop processing, taken from Timo */
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RtlSetBalance(&Table->BalancedRoot, RtlLeftHeavyAvlTree);
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/*
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* This implements A6-A7 from Knuth based on http://coding.derkeiler.com
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* /pdf/Archive/C_CPP/comp.lang.c/2004-01/1812.pdf, however the algorithm
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* is slightly modified to follow the tree based on the Parent Node such
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* as the Windows algorithm does it, instead of following the nodes down.
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*/
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while (TRUE)
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{
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/* Calculate which side to balance on */
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Balance = RtlIsLeftChildAvl(NewNode) ? RtlLeftHeavyAvlTree : RtlRightHeavyAvlTree;
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/* Check if the parent node was balanced */
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if (RtlBalance(NodeOrParent) == RtlBalancedAvlTree)
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{
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/* It's not balanced anymore (heavy on one side) */
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RtlSetBalance(NodeOrParent, Balance);
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/* Move up */
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NewNode = NodeOrParent;
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NodeOrParent = RtlParentAvl(NodeOrParent);
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}
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else if (RtlBalance(NodeOrParent) != Balance)
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{
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/* The parent's balance is opposite, so the tree is balanced now */
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RtlSetBalance(NodeOrParent, RtlBalancedAvlTree);
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/* Check if this is the root (the cheat applied earlier gets us here) */
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if (RtlBalance(&Table->BalancedRoot) == RtlBalancedAvlTree)
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{
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/* The depth has thus increased */
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Table->DepthOfTree++;
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}
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/* We reached the root or a balanced node, so we're done */
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break;
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}
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else
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{
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/* The tree is now unbalanced, so AVL rebalancing must happen */
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RtlpRebalanceAvlTreeNode(NodeOrParent);
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break;
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}
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}
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}
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FORCEINLINE
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VOID
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RtlpDeleteAvlTreeNode(IN PRTL_AVL_TABLE Table,
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IN PRTL_BALANCED_LINKS Node)
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{
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PRTL_BALANCED_LINKS DeleteNode = NULL, ParentNode;
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PRTL_BALANCED_LINKS *Node1, *Node2;
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CHAR Balance;
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/* Take one of the children if possible */
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if (!(RtlLeftChildAvl(Node)) || !(RtlRightChildAvl(Node))) DeleteNode = Node;
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/* Otherwise, check if one side is longer */
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if (!(DeleteNode) && (RtlBalance(Node) >= RtlBalancedAvlTree))
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{
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/* Pick the successor which will be the longest side in this case */
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DeleteNode = RtlRightChildAvl(Node);
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while (RtlLeftChildAvl(DeleteNode)) DeleteNode = RtlLeftChildAvl(DeleteNode);
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}
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else if (!DeleteNode)
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{
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/* Pick the predecessor which will be the longest side in this case */
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DeleteNode = RtlLeftChildAvl(Node);
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while (RtlRightChildAvl(DeleteNode)) DeleteNode = RtlRightChildAvl(DeleteNode);
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}
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/* Get the parent node */
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ParentNode = RtlParentAvl(DeleteNode);
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DPRINT("Parent: %p\n", ParentNode);
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/* Pick which now to use based on whether or not we have a left child */
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Node1 = RtlLeftChildAvl(DeleteNode) ? &DeleteNode->LeftChild : &DeleteNode->RightChild;
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DPRINT("Node 1: %p %p\n", Node1, *Node1);
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/* Pick which node to swap based on if we're already a left child or not */
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Node2 = RtlIsLeftChildAvl(DeleteNode) ? &ParentNode->LeftChild : &ParentNode->RightChild;
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DPRINT("Node 2: %p %p\n", Node2, *Node2);
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/* Pick the correct balance depending on which side will get heavier */
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Balance = RtlIsLeftChildAvl(DeleteNode) ? RtlLeftHeavyAvlTree : RtlRightHeavyAvlTree;
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DPRINT("Balance: %lx\n", Balance);
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/* Swap the children nodes, making one side heavier */
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*Node2 = *Node1;
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/* If the node has a child now, update its parent */
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if (*Node1) RtlSetParent(*Node1, ParentNode);
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/* Assume balanced root for loop optimization */
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RtlSetBalance(&Table->BalancedRoot, RtlBalancedAvlTree);
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/* Loop up the tree by parents */
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while (TRUE)
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{
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/* Check if the tree's balance increased */
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if (RtlBalance(ParentNode) == Balance)
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{
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/* Now the tree is balanced */
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RtlSetBalance(ParentNode, RtlBalancedAvlTree);
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}
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else if (RtlBalance(ParentNode) == RtlBalancedAvlTree)
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{
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/* The tree has now become less balanced, since it was balanced */
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RtlSetBalance(ParentNode, -Balance);
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/* Deal with the loop optimization to detect loss of a tree level */
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if (RtlBalance(&Table->BalancedRoot) != RtlBalancedAvlTree) Table->DepthOfTree--;
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break;
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}
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else
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{
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/* The tree has become unbalanced, so a rebalance is needed */
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if (RtlpRebalanceAvlTreeNode(ParentNode)) break;
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/* Get the new parent after the balance */
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ParentNode = RtlParentAvl(ParentNode);
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}
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/* Choose which balance factor to use based on which side we're on */
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Balance = RtlIsRightChild(ParentNode) ?
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RtlRightHeavyAvlTree : RtlLeftHeavyAvlTree;
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/* Iterate up the tree */
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ParentNode = RtlParentAvl(ParentNode);
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}
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/* Check if this isn't the node we ended up deleting directly */
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if (Node == DeleteNode) return;
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/* Copy the deleted node itself */
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RtlpCopyAvlNodeData(DeleteNode, Node);
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/* Pick the right node to unlink */
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Node1 = RtlIsLeftChildAvl(Node) ?
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&(RtlParentAvl(DeleteNode))->LeftChild : &(RtlParentAvl(DeleteNode))->RightChild;
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*Node1 = DeleteNode;
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/* Reparent as appropriate */
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if (RtlLeftChildAvl(DeleteNode)) RtlSetParent(RtlLeftChildAvl(DeleteNode), DeleteNode);
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if (RtlRightChildAvl(DeleteNode)) RtlSetParent(RtlRightChildAvl(DeleteNode), DeleteNode);
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}
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/* EOF */
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