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-/* A Fibonacci heap datatype.
- Copyright 1998, 1999, 2000, 2001 Free Software Foundation, Inc.
- Contributed by Daniel Berlin (dan@cgsoftware.com).
-
-This file is part of GNU CC.
-
-GNU CC is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2, or (at your option)
-any later version.
-
-GNU CC is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
-General Public License for more details.
-
-You should have received a copy of the GNU General Public License
-along with GNU CC; see the file COPYING. If not, write to
-the Free Software Foundation, 59 Temple Place - Suite 330,
-Boston, MA 02111-1307, USA. */
-
-#ifdef HAVE_CONFIG_H
-#include "config.h"
-#endif
-#ifdef HAVE_LIMITS_H
-#include <limits.h>
-#endif
-#ifdef HAVE_STDLIB_H
-#include <stdlib.h>
-#endif
-#ifdef HAVE_STRING_H
-#include <string.h>
-#endif
-#include "libiberty.h"
-#include "fibheap.h"
-
-
-#define FIBHEAPKEY_MIN LONG_MIN
-
-static void fibheap_ins_root PARAMS ((fibheap_t, fibnode_t));
-static void fibheap_rem_root PARAMS ((fibheap_t, fibnode_t));
-static void fibheap_consolidate PARAMS ((fibheap_t));
-static void fibheap_link PARAMS ((fibheap_t, fibnode_t, fibnode_t));
-static void fibheap_cut PARAMS ((fibheap_t, fibnode_t, fibnode_t));
-static void fibheap_cascading_cut PARAMS ((fibheap_t, fibnode_t));
-static fibnode_t fibheap_extr_min_node PARAMS ((fibheap_t));
-static int fibheap_compare PARAMS ((fibheap_t, fibnode_t, fibnode_t));
-static int fibheap_comp_data PARAMS ((fibheap_t, fibheapkey_t, void *,
- fibnode_t));
-static fibnode_t fibnode_new PARAMS ((void));
-static void fibnode_insert_after PARAMS ((fibnode_t, fibnode_t));
-#define fibnode_insert_before(a, b) fibnode_insert_after (a->left, b)
-static fibnode_t fibnode_remove PARAMS ((fibnode_t));
-
-
-/* Create a new fibonacci heap. */
-fibheap_t
-fibheap_new ()
-{
- return (fibheap_t) xcalloc (1, sizeof (struct fibheap));
-}
-
-/* Create a new fibonacci heap node. */
-static fibnode_t
-fibnode_new ()
-{
- fibnode_t node;
-
- node = xcalloc (1, sizeof *node);
- node->left = node;
- node->right = node;
-
- return node;
-}
-
-static inline int
-fibheap_compare (heap, a, b)
- fibheap_t heap ATTRIBUTE_UNUSED;
- fibnode_t a;
- fibnode_t b;
-{
- if (a->key < b->key)
- return -1;
- if (a->key > b->key)
- return 1;
- return 0;
-}
-
-static inline int
-fibheap_comp_data (heap, key, data, b)
- fibheap_t heap;
- fibheapkey_t key;
- void *data;
- fibnode_t b;
-{
- struct fibnode a;
-
- a.key = key;
- a.data = data;
-
- return fibheap_compare (heap, &a, b);
-}
-
-/* Insert DATA, with priority KEY, into HEAP. */
-fibnode_t
-fibheap_insert (heap, key, data)
- fibheap_t heap;
- fibheapkey_t key;
- void *data;
-{
- fibnode_t node;
-
- /* Create the new node. */
- node = fibnode_new ();
-
- /* Set the node's data. */
- node->data = data;
- node->key = key;
-
- /* Insert it into the root list. */
- fibheap_ins_root (heap, node);
-
- /* If their was no minimum, or this key is less than the min,
- it's the new min. */
- if (heap->min == NULL || node->key < heap->min->key)
- heap->min = node;
-
- heap->nodes++;
-
- return node;
-}
-
-/* Return the data of the minimum node (if we know it). */
-void *
-fibheap_min (heap)
- fibheap_t heap;
-{
- /* If there is no min, we can't easily return it. */
- if (heap->min == NULL)
- return NULL;
- return heap->min->data;
-}
-
-/* Return the key of the minimum node (if we know it). */
-fibheapkey_t
-fibheap_min_key (heap)
- fibheap_t heap;
-{
- /* If there is no min, we can't easily return it. */
- if (heap->min == NULL)
- return 0;
- return heap->min->key;
-}
-
-/* Union HEAPA and HEAPB into a new heap. */
-fibheap_t
-fibheap_union (heapa, heapb)
- fibheap_t heapa;
- fibheap_t heapb;
-{
- fibnode_t a_root, b_root, temp;
-
- /* If one of the heaps is empty, the union is just the other heap. */
- if ((a_root = heapa->root) == NULL)
- {
- free (heapa);
- return heapb;
- }
- if ((b_root = heapb->root) == NULL)
- {
- free (heapb);
- return heapa;
- }
-
- /* Merge them to the next nodes on the opposite chain. */
- a_root->left->right = b_root;
- b_root->left->right = a_root;
- temp = a_root->left;
- a_root->left = b_root->left;
- b_root->left = temp;
- heapa->nodes += heapb->nodes;
-
- /* And set the new minimum, if it's changed. */
- if (fibheap_compare (heapa, heapb->min, heapa->min) < 0)
- heapa->min = heapb->min;
-
- free (heapb);
- return heapa;
-}
-
-/* Extract the data of the minimum node from HEAP. */
-void *
-fibheap_extract_min (heap)
- fibheap_t heap;
-{
- fibnode_t z;
- void *ret = NULL;
-
- /* If we don't have a min set, it means we have no nodes. */
- if (heap->min != NULL)
- {
- /* Otherwise, extract the min node, free the node, and return the
- node's data. */
- z = fibheap_extr_min_node (heap);
- ret = z->data;
- free (z);
- }
-
- return ret;
-}
-
-/* Replace both the KEY and the DATA associated with NODE. */
-void *
-fibheap_replace_key_data (heap, node, key, data)
- fibheap_t heap;
- fibnode_t node;
- fibheapkey_t key;
- void *data;
-{
- void *odata;
- int okey;
- fibnode_t y;
-
- /* If we wanted to, we could actually do a real increase by redeleting and
- inserting. However, this would require O (log n) time. So just bail out
- for now. */
- if (fibheap_comp_data (heap, key, data, node) > 0)
- return NULL;
-
- odata = node->data;
- okey = node->key;
- node->data = data;
- node->key = key;
- y = node->parent;
-
- if (okey == key)
- return odata;
-
- /* These two compares are specifically <= 0 to make sure that in the case
- of equality, a node we replaced the data on, becomes the new min. This
- is needed so that delete's call to extractmin gets the right node. */
- if (y != NULL && fibheap_compare (heap, node, y) <= 0)
- {
- fibheap_cut (heap, node, y);
- fibheap_cascading_cut (heap, y);
- }
-
- if (fibheap_compare (heap, node, heap->min) <= 0)
- heap->min = node;
-
- return odata;
-}
-
-/* Replace the DATA associated with NODE. */
-void *
-fibheap_replace_data (heap, node, data)
- fibheap_t heap;
- fibnode_t node;
- void *data;
-{
- return fibheap_replace_key_data (heap, node, node->key, data);
-}
-
-/* Replace the KEY associated with NODE. */
-fibheapkey_t
-fibheap_replace_key (heap, node, key)
- fibheap_t heap;
- fibnode_t node;
- fibheapkey_t key;
-{
- int okey = node->key;
- fibheap_replace_key_data (heap, node, key, node->data);
- return okey;
-}
-
-/* Delete NODE from HEAP. */
-void *
-fibheap_delete_node (heap, node)
- fibheap_t heap;
- fibnode_t node;
-{
- void *ret = node->data;
-
- /* To perform delete, we just make it the min key, and extract. */
- fibheap_replace_key (heap, node, FIBHEAPKEY_MIN);
- fibheap_extract_min (heap);
-
- return ret;
-}
-
-/* Delete HEAP. */
-void
-fibheap_delete (heap)
- fibheap_t heap;
-{
- while (heap->min != NULL)
- free (fibheap_extr_min_node (heap));
-
- free (heap);
-}
-
-/* Determine if HEAP is empty. */
-int
-fibheap_empty (heap)
- fibheap_t heap;
-{
- return heap->nodes == 0;
-}
-
-/* Extract the minimum node of the heap. */
-static fibnode_t
-fibheap_extr_min_node (heap)
- fibheap_t heap;
-{
- fibnode_t ret = heap->min;
- fibnode_t x, y, orig;
-
- /* Attach the child list of the minimum node to the root list of the heap.
- If there is no child list, we don't do squat. */
- for (x = ret->child, orig = NULL; x != orig && x != NULL; x = y)
- {
- if (orig == NULL)
- orig = x;
- y = x->right;
- x->parent = NULL;
- fibheap_ins_root (heap, x);
- }
-
- /* Remove the old root. */
- fibheap_rem_root (heap, ret);
- heap->nodes--;
-
- /* If we are left with no nodes, then the min is NULL. */
- if (heap->nodes == 0)
- heap->min = NULL;
- else
- {
- /* Otherwise, consolidate to find new minimum, as well as do the reorg
- work that needs to be done. */
- heap->min = ret->right;
- fibheap_consolidate (heap);
- }
-
- return ret;
-}
-
-/* Insert NODE into the root list of HEAP. */
-static void
-fibheap_ins_root (heap, node)
- fibheap_t heap;
- fibnode_t node;
-{
- /* If the heap is currently empty, the new node becomes the singleton
- circular root list. */
- if (heap->root == NULL)
- {
- heap->root = node;
- node->left = node;
- node->right = node;
- return;
- }
-
- /* Otherwise, insert it in the circular root list between the root
- and it's right node. */
- fibnode_insert_after (heap->root, node);
-}
-
-/* Remove NODE from the rootlist of HEAP. */
-static void
-fibheap_rem_root (heap, node)
- fibheap_t heap;
- fibnode_t node;
-{
- if (node->left == node)
- heap->root = NULL;
- else
- heap->root = fibnode_remove (node);
-}
-
-/* Consolidate the heap. */
-static void
-fibheap_consolidate (heap)
- fibheap_t heap;
-{
- fibnode_t a[1 + 8 * sizeof (long)];
- fibnode_t w;
- fibnode_t y;
- fibnode_t x;
- int i;
- int d;
- int D;
-
- D = 1 + 8 * sizeof (long);
-
- memset (a, 0, sizeof (fibnode_t) * D);
-
- while ((w = heap->root) != NULL)
- {
- x = w;
- fibheap_rem_root (heap, w);
- d = x->degree;
- while (a[d] != NULL)
- {
- y = a[d];
- if (fibheap_compare (heap, x, y) > 0)
- {
- fibnode_t temp;
- temp = x;
- x = y;
- y = temp;
- }
- fibheap_link (heap, y, x);
- a[d] = NULL;
- d++;
- }
- a[d] = x;
- }
- heap->min = NULL;
- for (i = 0; i < D; i++)
- if (a[i] != NULL)
- {
- fibheap_ins_root (heap, a[i]);
- if (heap->min == NULL || fibheap_compare (heap, a[i], heap->min) < 0)
- heap->min = a[i];
- }
-}
-
-/* Make NODE a child of PARENT. */
-static void
-fibheap_link (heap, node, parent)
- fibheap_t heap ATTRIBUTE_UNUSED;
- fibnode_t node;
- fibnode_t parent;
-{
- if (parent->child == NULL)
- parent->child = node;
- else
- fibnode_insert_before (parent->child, node);
- node->parent = parent;
- parent->degree++;
- node->mark = 0;
-}
-
-/* Remove NODE from PARENT's child list. */
-static void
-fibheap_cut (heap, node, parent)
- fibheap_t heap;
- fibnode_t node;
- fibnode_t parent;
-{
- fibnode_remove (node);
- parent->degree--;
- fibheap_ins_root (heap, node);
- node->parent = NULL;
- node->mark = 0;
-}
-
-static void
-fibheap_cascading_cut (heap, y)
- fibheap_t heap;
- fibnode_t y;
-{
- fibnode_t z;
-
- while ((z = y->parent) != NULL)
- {
- if (y->mark == 0)
- {
- y->mark = 1;
- return;
- }
- else
- {
- fibheap_cut (heap, y, z);
- y = z;
- }
- }
-}
-
-static void
-fibnode_insert_after (a, b)
- fibnode_t a;
- fibnode_t b;
-{
- if (a == a->right)
- {
- a->right = b;
- a->left = b;
- b->right = a;
- b->left = a;
- }
- else
- {
- b->right = a->right;
- a->right->left = b;
- a->right = b;
- b->left = a;
- }
-}
-
-static fibnode_t
-fibnode_remove (node)
- fibnode_t node;
-{
- fibnode_t ret;
-
- if (node == node->left)
- ret = NULL;
- else
- ret = node->left;
-
- if (node->parent != NULL && node->parent->child == node)
- node->parent->child = ret;
-
- node->right->left = node->left;
- node->left->right = node->right;
-
- node->parent = NULL;
- node->left = node;
- node->right = node;
-
- return ret;
-}
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