diff libiberty/fibheap.c @ 0:a06113de4d67

first commit
author kent <kent@cr.ie.u-ryukyu.ac.jp>
date Fri, 17 Jul 2009 14:47:48 +0900
parents
children 77e2b8dfacca
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/libiberty/fibheap.c	Fri Jul 17 14:47:48 2009 +0900
@@ -0,0 +1,478 @@
+/* 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, 51 Franklin Street - Fifth Floor,
+Boston, MA 02110-1301, 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 (fibheap_t, fibnode_t);
+static void fibheap_rem_root (fibheap_t, fibnode_t);
+static void fibheap_consolidate (fibheap_t);
+static void fibheap_link (fibheap_t, fibnode_t, fibnode_t);
+static void fibheap_cut (fibheap_t, fibnode_t, fibnode_t);
+static void fibheap_cascading_cut (fibheap_t, fibnode_t);
+static fibnode_t fibheap_extr_min_node (fibheap_t);
+static int fibheap_compare (fibheap_t, fibnode_t, fibnode_t);
+static int fibheap_comp_data (fibheap_t, fibheapkey_t, void *, fibnode_t);
+static fibnode_t fibnode_new (void);
+static void fibnode_insert_after (fibnode_t, fibnode_t);
+#define fibnode_insert_before(a, b) fibnode_insert_after (a->left, b)
+static fibnode_t fibnode_remove (fibnode_t);
+
+
+/* Create a new fibonacci heap.  */
+fibheap_t
+fibheap_new (void)
+{
+  return (fibheap_t) xcalloc (1, sizeof (struct fibheap));
+}
+
+/* Create a new fibonacci heap node.  */
+static fibnode_t
+fibnode_new (void)
+{
+  fibnode_t node;
+
+  node = (fibnode_t) xcalloc (1, sizeof *node);
+  node->left = node;
+  node->right = node;
+
+  return node;
+}
+
+static inline int
+fibheap_compare (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 (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 (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 (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 (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 (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 (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 (fibheap_t heap, fibnode_t node,
+                          fibheapkey_t key, void *data)
+{
+  void *odata;
+  fibheapkey_t 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 (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 (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 (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 (fibheap_t heap)
+{
+  while (heap->min != NULL)
+    free (fibheap_extr_min_node (heap));
+
+  free (heap);
+}
+
+/* Determine if HEAP is empty.  */
+int
+fibheap_empty (fibheap_t heap)
+{
+  return heap->nodes == 0;
+}
+
+/* Extract the minimum node of the heap.  */
+static fibnode_t
+fibheap_extr_min_node (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 (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 (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 (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 (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 (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 (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 (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 (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;
+}