579 lines
15 KiB
C
579 lines
15 KiB
C
/*
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* Copyright 1997, Regents of the University of Minnesota
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*
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* pqueue.c
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*
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* This file contains functions for manipulating the bucket list
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* representation of the gains associated with each vertex in a graph.
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* These functions are used by the refinement algorithms
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*
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* Started 9/2/94
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* George
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*
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* $Id: pqueue.c,v 1.2 2002/08/10 06:29:34 karypis Exp $
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*
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*/
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#include <metislib.h>
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/*************************************************************************
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* This function initializes the data structures of the priority queue
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**************************************************************************/
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void PQueueInit(CtrlType *ctrl, PQueueType *queue, idxtype maxnodes, idxtype maxgain)
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{
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idxtype i, j, ncore;
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queue->nnodes = 0;
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queue->maxnodes = maxnodes;
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queue->buckets = NULL;
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queue->nodes = NULL;
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queue->heap = NULL;
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queue->locator = NULL;
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if (maxgain > PLUS_GAINSPAN || maxnodes < 500)
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queue->type = 2;
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else
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queue->type = 1;
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if (queue->type == 1) {
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queue->pgainspan = amin(PLUS_GAINSPAN, maxgain);
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queue->ngainspan = amin(NEG_GAINSPAN, maxgain);
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j = queue->ngainspan+queue->pgainspan+1;
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ncore = 2 + (sizeof(ListNodeType)/sizeof(idxtype))*maxnodes + (sizeof(ListNodeType *)/sizeof(idxtype))*j;
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if (WspaceAvail(ctrl) > ncore) {
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queue->nodes = (ListNodeType *)idxwspacemalloc(ctrl, (sizeof(ListNodeType)/sizeof(idxtype))*maxnodes);
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queue->buckets = (ListNodeType **)idxwspacemalloc(ctrl, (sizeof(ListNodeType *)/sizeof(idxtype))*j);
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queue->mustfree = 0;
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}
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else { /* Not enough memory in the wspace, allocate it */
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queue->nodes = (ListNodeType *)gk_malloc(maxnodes*sizeof(ListNodeType), "PQueueInit: queue->nodes");
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queue->buckets = (ListNodeType **)gk_malloc(j*sizeof(ListNodeType *), "PQueueInit: queue->buckets");
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queue->mustfree = 1;
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}
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for (i=0; i<maxnodes; i++)
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queue->nodes[i].id = i;
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for (i=0; i<j; i++)
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queue->buckets[i] = NULL;
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queue->buckets += queue->ngainspan; /* Advance buckets by the ngainspan proper indexing */
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queue->maxgain = -queue->ngainspan;
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}
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else {
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queue->heap = (KeyValueType *)idxwspacemalloc(ctrl, (sizeof(KeyValueType)/sizeof(idxtype))*maxnodes);
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queue->locator = idxwspacemalloc(ctrl, maxnodes);
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idxset(maxnodes, -1, queue->locator);
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}
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}
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/*************************************************************************
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* This function resets the buckets
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**************************************************************************/
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void PQueueReset(PQueueType *queue)
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{
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idxtype i, j;
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queue->nnodes = 0;
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if (queue->type == 1) {
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queue->maxgain = -queue->ngainspan;
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j = queue->ngainspan+queue->pgainspan+1;
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queue->buckets -= queue->ngainspan;
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for (i=0; i<j; i++)
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queue->buckets[i] = NULL;
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queue->buckets += queue->ngainspan;
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}
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else {
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idxset(queue->maxnodes, -1, queue->locator);
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}
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}
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/*************************************************************************
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* This function frees the buckets
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**************************************************************************/
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void PQueueFree(CtrlType *ctrl, PQueueType *queue)
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{
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if (queue->type == 1) {
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if (queue->mustfree) {
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queue->buckets -= queue->ngainspan;
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gk_free((void **)&queue->nodes, &queue->buckets, LTERM);
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}
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else {
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idxwspacefree(ctrl, sizeof(ListNodeType *)*(queue->ngainspan+queue->pgainspan+1)/sizeof(idxtype));
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idxwspacefree(ctrl, sizeof(ListNodeType)*queue->maxnodes/sizeof(idxtype));
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}
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}
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else {
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idxwspacefree(ctrl, sizeof(KeyValueType)*queue->maxnodes/sizeof(idxtype));
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idxwspacefree(ctrl, queue->maxnodes);
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}
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queue->maxnodes = 0;
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}
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/*************************************************************************
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* This function returns the number of nodes in the queue
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**************************************************************************/
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idxtype PQueueGetSize(PQueueType *queue)
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{
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return queue->nnodes;
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}
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/*************************************************************************
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* This function adds a node of certain gain into a partition
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**************************************************************************/
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idxtype PQueueInsert(PQueueType *queue, idxtype node, idxtype gain)
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{
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idxtype i, j, k;
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idxtype *locator;
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ListNodeType *newnode;
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KeyValueType *heap;
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if (queue->type == 1) {
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ASSERT(gain >= -queue->ngainspan && gain <= queue->pgainspan);
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/* Allocate and add the node */
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queue->nnodes++;
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newnode = queue->nodes + node;
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/* Attach this node in the doubly-linked list */
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newnode->next = queue->buckets[gain];
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newnode->prev = NULL;
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if (newnode->next != NULL)
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newnode->next->prev = newnode;
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queue->buckets[gain] = newnode;
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if (queue->maxgain < gain)
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queue->maxgain = gain;
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}
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else {
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ASSERT(CheckHeap(queue));
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heap = queue->heap;
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locator = queue->locator;
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ASSERT(locator[node] == -1);
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i = queue->nnodes++;
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while (i > 0) {
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j = (i-1)/2;
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if (heap[j].key < gain) {
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heap[i] = heap[j];
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locator[heap[i].val] = i;
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i = j;
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}
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else
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break;
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}
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ASSERT(i >= 0);
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heap[i].key = gain;
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heap[i].val = node;
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locator[node] = i;
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ASSERT(CheckHeap(queue));
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}
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return 0;
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}
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/*************************************************************************
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* This function deletes a node from a partition and reinserts it with
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* an updated gain
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**************************************************************************/
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idxtype PQueueDelete(PQueueType *queue, idxtype node, idxtype gain)
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{
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idxtype i, j, newgain, oldgain;
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idxtype *locator;
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ListNodeType *newnode, **buckets;
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KeyValueType *heap;
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if (queue->type == 1) {
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ASSERT(gain >= -queue->ngainspan && gain <= queue->pgainspan);
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ASSERT(queue->nnodes > 0);
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buckets = queue->buckets;
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queue->nnodes--;
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newnode = queue->nodes+node;
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/* Remove newnode from the doubly-linked list */
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if (newnode->prev != NULL)
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newnode->prev->next = newnode->next;
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else
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buckets[gain] = newnode->next;
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if (newnode->next != NULL)
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newnode->next->prev = newnode->prev;
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if (buckets[gain] == NULL && gain == queue->maxgain) {
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if (queue->nnodes == 0)
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queue->maxgain = -queue->ngainspan;
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else
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for (; buckets[queue->maxgain]==NULL; queue->maxgain--);
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}
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}
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else { /* Heap Priority Queue */
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heap = queue->heap;
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locator = queue->locator;
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ASSERT(locator[node] != -1);
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ASSERT(heap[locator[node]].val == node);
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ASSERT(CheckHeap(queue));
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i = locator[node];
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locator[node] = -1;
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if (--queue->nnodes > 0 && heap[queue->nnodes].val != node) {
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node = heap[queue->nnodes].val;
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newgain = heap[queue->nnodes].key;
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oldgain = heap[i].key;
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if (oldgain < newgain) { /* Filter-up */
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while (i > 0) {
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j = (i-1)>>1;
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if (heap[j].key < newgain) {
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heap[i] = heap[j];
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locator[heap[i].val] = i;
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i = j;
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}
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else
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break;
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}
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}
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else { /* Filter down */
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while ((j=2*i+1) < queue->nnodes) {
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if (heap[j].key > newgain) {
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if (j+1 < queue->nnodes && heap[j+1].key > heap[j].key)
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j = j+1;
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heap[i] = heap[j];
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locator[heap[i].val] = i;
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i = j;
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}
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else if (j+1 < queue->nnodes && heap[j+1].key > newgain) {
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j = j+1;
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heap[i] = heap[j];
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locator[heap[i].val] = i;
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i = j;
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}
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else
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break;
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}
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}
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heap[i].key = newgain;
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heap[i].val = node;
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locator[node] = i;
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}
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ASSERT(CheckHeap(queue));
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}
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return 0;
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}
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/*************************************************************************
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* This function deletes a node from a partition and reinserts it with
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* an updated gain
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**************************************************************************/
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idxtype PQueueUpdate(PQueueType *queue, idxtype node, idxtype oldgain, idxtype newgain)
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{
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idxtype i, j;
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idxtype *locator;
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ListNodeType *newnode;
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KeyValueType *heap;
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if (oldgain == newgain)
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return 0;
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if (queue->type == 1) {
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/* First delete the node and then insert it */
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PQueueDelete(queue, node, oldgain);
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return PQueueInsert(queue, node, newgain);
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}
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else { /* Heap Priority Queue */
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heap = queue->heap;
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locator = queue->locator;
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ASSERT(locator[node] != -1);
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ASSERT(heap[locator[node]].val == node);
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ASSERT(heap[locator[node]].key == oldgain);
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ASSERT(CheckHeap(queue));
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i = locator[node];
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if (oldgain < newgain) { /* Filter-up */
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while (i > 0) {
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j = (i-1)>>1;
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if (heap[j].key < newgain) {
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heap[i] = heap[j];
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locator[heap[i].val] = i;
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i = j;
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}
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else
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break;
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}
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}
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else { /* Filter down */
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while ((j=2*i+1) < queue->nnodes) {
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if (heap[j].key > newgain) {
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if (j+1 < queue->nnodes && heap[j+1].key > heap[j].key)
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j = j+1;
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heap[i] = heap[j];
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locator[heap[i].val] = i;
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i = j;
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}
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else if (j+1 < queue->nnodes && heap[j+1].key > newgain) {
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j = j+1;
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heap[i] = heap[j];
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locator[heap[i].val] = i;
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i = j;
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}
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else
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break;
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}
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}
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heap[i].key = newgain;
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heap[i].val = node;
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locator[node] = i;
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ASSERT(CheckHeap(queue));
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}
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return 0;
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}
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/*************************************************************************
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* This function deletes a node from a partition and reinserts it with
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* an updated gain
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**************************************************************************/
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void PQueueUpdateUp(PQueueType *queue, idxtype node, idxtype oldgain, idxtype newgain)
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{
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idxtype i, j;
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idxtype *locator;
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ListNodeType *newnode, **buckets;
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KeyValueType *heap;
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if (oldgain == newgain)
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return;
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if (queue->type == 1) {
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ASSERT(oldgain >= -queue->ngainspan && oldgain <= queue->pgainspan);
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ASSERT(newgain >= -queue->ngainspan && newgain <= queue->pgainspan);
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ASSERT(queue->nnodes > 0);
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buckets = queue->buckets;
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newnode = queue->nodes+node;
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/* First delete the node */
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if (newnode->prev != NULL)
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newnode->prev->next = newnode->next;
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else
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buckets[oldgain] = newnode->next;
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if (newnode->next != NULL)
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newnode->next->prev = newnode->prev;
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/* Attach this node in the doubly-linked list */
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newnode->next = buckets[newgain];
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newnode->prev = NULL;
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if (newnode->next != NULL)
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newnode->next->prev = newnode;
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buckets[newgain] = newnode;
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if (queue->maxgain < newgain)
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queue->maxgain = newgain;
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}
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else { /* Heap Priority Queue */
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heap = queue->heap;
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locator = queue->locator;
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ASSERT(locator[node] != -1);
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ASSERT(heap[locator[node]].val == node);
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ASSERT(heap[locator[node]].key == oldgain);
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ASSERT(CheckHeap(queue));
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/* Here we are just filtering up since the newgain is greater than the oldgain */
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i = locator[node];
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while (i > 0) {
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j = (i-1)>>1;
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if (heap[j].key < newgain) {
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heap[i] = heap[j];
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locator[heap[i].val] = i;
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i = j;
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}
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else
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break;
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}
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heap[i].key = newgain;
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heap[i].val = node;
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locator[node] = i;
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ASSERT(CheckHeap(queue));
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}
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}
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/*************************************************************************
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* This function returns the vertex with the largest gain from a partition
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* and removes the node from the bucket list
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**************************************************************************/
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idxtype PQueueGetMax(PQueueType *queue)
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{
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idxtype vtx, i, j, gain, node;
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idxtype *locator;
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ListNodeType *tptr;
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KeyValueType *heap;
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if (queue->nnodes == 0)
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return -1;
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queue->nnodes--;
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if (queue->type == 1) {
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tptr = queue->buckets[queue->maxgain];
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queue->buckets[queue->maxgain] = tptr->next;
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if (tptr->next != NULL) {
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tptr->next->prev = NULL;
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}
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else {
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if (queue->nnodes == 0) {
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queue->maxgain = -queue->ngainspan;
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}
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else
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for (; queue->buckets[queue->maxgain]==NULL; queue->maxgain--);
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}
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return tptr->id;
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}
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else {
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heap = queue->heap;
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locator = queue->locator;
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vtx = heap[0].val;
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locator[vtx] = -1;
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if ((i = queue->nnodes) > 0) {
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gain = heap[i].key;
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node = heap[i].val;
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i = 0;
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while ((j=2*i+1) < queue->nnodes) {
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if (heap[j].key > gain) {
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if (j+1 < queue->nnodes && heap[j+1].key > heap[j].key)
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j = j+1;
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heap[i] = heap[j];
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locator[heap[i].val] = i;
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i = j;
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}
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else if (j+1 < queue->nnodes && heap[j+1].key > gain) {
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j = j+1;
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heap[i] = heap[j];
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locator[heap[i].val] = i;
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i = j;
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}
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else
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break;
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}
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heap[i].key = gain;
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heap[i].val = node;
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locator[node] = i;
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}
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ASSERT(CheckHeap(queue));
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return vtx;
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}
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}
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/*************************************************************************
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* This function returns the vertex with the largest gain from a partition
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**************************************************************************/
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idxtype PQueueSeeMax(PQueueType *queue)
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{
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idxtype vtx;
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if (queue->nnodes == 0)
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return -1;
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if (queue->type == 1)
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vtx = queue->buckets[queue->maxgain]->id;
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else
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vtx = queue->heap[0].val;
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return vtx;
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}
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/*************************************************************************
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* This function returns the vertex with the largest gain from a partition
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**************************************************************************/
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idxtype PQueueGetKey(PQueueType *queue)
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{
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idxtype key;
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if (queue->nnodes == 0)
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return -1;
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if (queue->type == 1)
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key = queue->maxgain;
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else
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key = queue->heap[0].key;
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return key;
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}
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/*************************************************************************
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* This functions checks the consistency of the heap
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**************************************************************************/
|
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idxtype CheckHeap(PQueueType *queue)
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{
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idxtype i, j, nnodes;
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idxtype *locator;
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KeyValueType *heap;
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heap = queue->heap;
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locator = queue->locator;
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nnodes = queue->nnodes;
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if (nnodes == 0)
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return 1;
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ASSERT(locator[heap[0].val] == 0);
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for (i=1; i<nnodes; i++) {
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ASSERTP(locator[heap[i].val] == i, ("%d %d %d %d\n", nnodes, i, heap[i].val, locator[heap[i].val]));
|
|
ASSERTP(heap[i].key <= heap[(i-1)/2].key, ("%d %d %d %d %d\n", i, (i-1)/2, nnodes, heap[i].key, heap[(i-1)/2].key));
|
|
}
|
|
for (i=1; i<nnodes; i++)
|
|
ASSERT(heap[i].key <= heap[0].key);
|
|
|
|
for (j=i=0; i<queue->maxnodes; i++) {
|
|
if (locator[i] != -1)
|
|
j++;
|
|
}
|
|
ASSERTP(j == nnodes, ("%d %d\n", j, nnodes));
|
|
|
|
return 1;
|
|
}
|