457 lines
8.7 KiB
C
457 lines
8.7 KiB
C
/*
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* Treap.c
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*
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* Balanced tree implementation
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*
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*/
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#include <string.h>
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/* Allow frame header files to be singly included */
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#define FRAME_LIB_INCLUDE
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#include "types.h"
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#include "debug.h"
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#include "mem.h"
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#include "heap.h"
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#include "treap.h"
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/* Position of the last call */
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static SDWORD cLine;
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static STRING *pCFile;
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static STRING pCFileNone[] = "None";
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/* Store the location in C code at which a call to the heap was made */
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void treapSetCallPos(STRING *pFileName, SDWORD lineNumber)
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{
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cLine = lineNumber;
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pCFile = (STRING *)MALLOC(strlen(pFileName) + 1);
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if (pCFile)
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{
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strcpy(pCFile, pFileName);
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}
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else
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{
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pCFile = pCFileNone;
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}
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}
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/* Default comparison function - assumes keys are ints */
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static SDWORD defaultCmp(UDWORD key1, UDWORD key2)
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{
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if (key1 < key2)
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{
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return -1;
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}
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else if (key1 > key2)
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{
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return 1;
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}
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return 0;
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}
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/* A useful comparison function - keys are string pointers */
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SDWORD treapStringCmp(UDWORD key1, UDWORD key2)
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{
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SDWORD result;
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STRING *pStr1 = (STRING *)key1;
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STRING *pStr2 = (STRING *)key2;
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result = strcmp(pStr1,pStr2);
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if (result<0) return -1;
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if (result>0) return 1;
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return 0;
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}
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/* Function to create a treap
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* Pass in key comparison function,
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* initial number of nodes to allocate,
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* number of additional nodes to allocate when extending.
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*/
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BOOL treapCreate(TREAP **ppsTreap, TREAP_CMP cmp, UDWORD init, UDWORD ext)
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{
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*ppsTreap = (TREAP*)MALLOC(sizeof(TREAP));
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if (!(*ppsTreap))
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{
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DBERROR(("treapCreate: Out of memory"));
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return FALSE;
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}
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if (!HEAP_CREATE(&((*ppsTreap)->psNodes), sizeof(TREAP_NODE), init, ext))
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{
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DBERROR(("treapCreate: Out of memory"));
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FREE(*ppsTreap);
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return FALSE;
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}
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// Store the comparison function if there is one, use the default otherwise
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if (cmp)
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{
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(*ppsTreap)->cmp = cmp;
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}
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else
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{
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(*ppsTreap)->cmp = defaultCmp;
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}
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// Initialise the tree to nothing
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(*ppsTreap)->psRoot = NULL;
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#if DEBUG_TREAP
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// Store the call location
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(*ppsTreap)->pFile = pCFile;
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(*ppsTreap)->line = cLine;
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#endif
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return TRUE;
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}
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/* Rotate a tree to the right
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* (Make left sub tree the root and the root the right sub tree)
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*/
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static void treapRotRight(TREAP_NODE **ppsRoot)
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{
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TREAP_NODE *psNewRoot;
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psNewRoot = (*ppsRoot)->psLeft;
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(*ppsRoot)->psLeft = psNewRoot->psRight;
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psNewRoot->psRight = *ppsRoot;
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*ppsRoot = psNewRoot;
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}
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/* Rotate a tree to the left
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* (Make right sub tree the root and the root the left sub tree)
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*/
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static void treapRotLeft(TREAP_NODE **ppsRoot)
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{
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TREAP_NODE *psNewRoot;
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psNewRoot = (*ppsRoot)->psRight;
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(*ppsRoot)->psRight = psNewRoot->psLeft;
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psNewRoot->psLeft = *ppsRoot;
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*ppsRoot = psNewRoot;
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}
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/* Recursive function to add an object to a tree */
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void treapAddNode(TREAP_NODE **ppsRoot, TREAP_NODE *psNew, TREAP_CMP cmp)
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{
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if (*ppsRoot == NULL)
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{
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// Make the node the root of the tree
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*ppsRoot = psNew;
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}
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else if (cmp(psNew->key, (*ppsRoot)->key) < 0)
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{
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// Node less than root, insert to the left of the tree
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treapAddNode(&(*ppsRoot)->psLeft, psNew, cmp);
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// Sort the priority
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if ((*ppsRoot)->priority > (*ppsRoot)->psLeft->priority)
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{
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// rotate tree right
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treapRotRight(ppsRoot);
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}
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}
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else
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{
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// Node greater than root, insert to the right of the tree
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treapAddNode(&(*ppsRoot)->psRight, psNew, cmp);
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// Sort the priority
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if ((*ppsRoot)->priority > (*ppsRoot)->psRight->priority)
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{
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// rotate tree left
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treapRotLeft(ppsRoot);
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}
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}
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}
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/* Add an object to a treap
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*/
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BOOL treapAdd(TREAP *psTreap, UDWORD key, void *pObj)
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{
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TREAP_NODE *psNew;
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if (!HEAP_ALLOC(psTreap->psNodes, (void**)&psNew))
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{
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return FALSE;
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}
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psNew->priority = (UDWORD)rand();
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psNew->key = key;
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psNew->pObj = pObj;
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psNew->psLeft = NULL;
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psNew->psRight = NULL;
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#if DEBUG_TREAP
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// Store the call location
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psNew->pFile = pCFile;
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psNew->line = cLine;
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#endif
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treapAddNode(&psTreap->psRoot, psNew, psTreap->cmp);
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return TRUE;
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}
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/* Recursively find and remove a node from the tree */
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TREAP_NODE *treapDelRec(TREAP_NODE **ppsRoot, UDWORD key,
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TREAP_CMP cmp)
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{
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TREAP_NODE *psFound;
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if (*ppsRoot == NULL)
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{
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// not found
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return NULL;
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}
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switch (cmp(key, (*ppsRoot)->key))
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{
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case -1:
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// less than
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return treapDelRec(&(*ppsRoot)->psLeft, key, cmp);
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break;
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case 1:
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// greater than
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return treapDelRec(&(*ppsRoot)->psRight, key, cmp);
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break;
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case 0:
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// equal - either remove or push down the tree to balance it
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if ((*ppsRoot)->psLeft == NULL && (*ppsRoot)->psRight == NULL)
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{
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// no sub trees, remove
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psFound = *ppsRoot;
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*ppsRoot = NULL;
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return psFound;
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}
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else if ((*ppsRoot)->psLeft == NULL)
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{
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// one sub tree, replace
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psFound = *ppsRoot;
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*ppsRoot = psFound->psRight;
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return psFound;
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}
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else if ((*ppsRoot)->psRight == NULL)
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{
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// one sub tree, replace
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psFound = *ppsRoot;
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*ppsRoot = psFound->psLeft;
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return psFound;
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}
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else
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{
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// two sub trees, push the node down and recurse
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if ((*ppsRoot)->psLeft->priority > (*ppsRoot)->psRight->priority)
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{
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// rotate right and recurse
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treapRotLeft(ppsRoot);
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return treapDelRec(&(*ppsRoot)->psLeft, key, cmp);
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}
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else
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{
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// rotate left and recurse
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treapRotRight(ppsRoot);
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return treapDelRec(&(*ppsRoot)->psRight, key, cmp);
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}
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}
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break;
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default:
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ASSERT((FALSE, "treapDelRec: invalid return from comparison"));
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break;
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}
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return NULL;
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}
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/* Remove an object from the treap */
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BOOL treapDel(TREAP *psTreap, UDWORD key)
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{
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TREAP_NODE *psDel;
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// Find the node to remove
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psDel = treapDelRec(&psTreap->psRoot, key, psTreap->cmp);
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if (!psDel)
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{
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return FALSE;
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}
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// Release the node
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#ifdef DEBUG
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FREE(psDel->pFile);
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#endif
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HEAP_FREE(psTreap->psNodes, psDel);
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return TRUE;
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}
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/* Recurisvely find an object in a treap */
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void *treapFindRec(TREAP_NODE *psRoot, UDWORD key, TREAP_CMP cmp)
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{
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if (psRoot == NULL)
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{
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return NULL;
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}
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switch (cmp(key, psRoot->key))
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{
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case 0:
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// equal
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return psRoot->pObj;
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break;
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case -1:
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return treapFindRec(psRoot->psLeft, key, cmp);
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break;
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case 1:
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return treapFindRec(psRoot->psRight, key, cmp);
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break;
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default:
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ASSERT((FALSE, "treapFindRec: invalid return from comparison"));
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break;
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}
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return NULL;
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}
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/* Find an object in a treap */
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void *treapFind(TREAP *psTreap, UDWORD key)
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{
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return treapFindRec(psTreap->psRoot, key, psTreap->cmp);
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}
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#if DEBUG_TREAP
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/* Recursively print out where the nodes were allocated */
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static void treapReportRec(TREAP_NODE *psRoot)
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{
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if (psRoot)
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{
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DBPRINTF((" %s, line %d\n", psRoot->pFile, psRoot->line));
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treapReportRec(psRoot->psLeft);
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treapReportRec(psRoot->psRight);
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}
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}
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#endif
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/* Recursively free a treap */
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static void treapDestroyRec(TREAP_NODE *psRoot, OBJ_HEAP *psHeap)
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{
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if (psRoot == NULL)
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{
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return;
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}
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// free the sub branches
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treapDestroyRec(psRoot->psLeft, psHeap);
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treapDestroyRec(psRoot->psRight, psHeap);
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// free the root
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HEAP_FREE(psHeap, psRoot);
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}
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/* Release all the nodes in the treap */
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void treapReset(TREAP *psTreap)
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{
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treapDestroyRec(psTreap->psRoot, psTreap->psNodes);
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psTreap->psRoot = NULL;
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}
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/* Destroy a treap and release all the memory associated with it */
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void treapDestroy(TREAP *psTreap)
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{
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#if DEBUG_TREAP
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if (psTreap->psRoot)
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{
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DBPRINTF(("treapDestroy: %s, line %d : nodes still in the tree\n",
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psTreap->pFile, psTreap->line));
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treapReportRec(psTreap->psRoot);
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}
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FREE(psTreap->pFile);
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#endif
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treapDestroyRec(psTreap->psRoot, psTreap->psNodes);
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HEAP_DESTROY(psTreap->psNodes);
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FREE(psTreap);
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}
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/* Recursively display the treap structure */
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void treapDisplayRec(TREAP_NODE *psRoot, UDWORD indent)
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{
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UDWORD i;
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// Display the root
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#if DEBUG_TREAP
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DBPRINTF(("%s, line %d : %d,%d\n",
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psRoot->pFile, psRoot->line,
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psRoot->key, psRoot->priority));
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#else
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DBPRINTF(("%d,%d\n", psRoot->key, psRoot->priority));
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#endif
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// Display the left of the tree
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if (psRoot->psLeft)
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{
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for(i=0; i<indent; i++)
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{
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DBPRINTF((" "));
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}
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DBPRINTF(("L "));
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treapDisplayRec(psRoot->psLeft, indent+1);
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}
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// Display the right of the tree
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if (psRoot->psRight)
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{
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for(i=0; i<indent; i++)
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{
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DBPRINTF((" "));
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}
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DBPRINTF(("R "));
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treapDisplayRec(psRoot->psRight, indent+1);
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}
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}
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/* Display the treap structure using DBPRINTF */
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void treapDisplay(TREAP *psTreap)
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{
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if (psTreap->psRoot)
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{
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treapDisplayRec(psTreap->psRoot, 0);
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}
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}
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void *treapGetSmallestRec(TREAP_NODE *psRoot)
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{
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if (psRoot->psLeft == NULL)
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{
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return psRoot->pObj;
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}
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return treapGetSmallestRec(psRoot->psLeft);
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}
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/* Return the object with the smallest key in the treap
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* This is useful if the objects in the treap need to be
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* deallocated. i.e. getSmallest, delete from treap, free memory
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*/
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void *treapGetSmallest(TREAP *psTreap)
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{
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if (psTreap->psRoot == NULL)
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{
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return NULL;
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}
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return treapGetSmallestRec(psTreap->psRoot);
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}
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