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- // This may look like C code, but it is really -*- C++ -*-
- /*
- Copyright (C) 1988 Free Software Foundation
- written by Dirk Grunwald (grunwald@cs.uiuc.edu)
- adapted for libg++ by Doug Lea (dl@rocky.oswego.edu)
-
- This file is part of the GNU C++ Library. This library is free
- software; you can redistribute it and/or modify it under the terms of
- the GNU Library General Public License as published by the Free
- Software Foundation; either version 2 of the License, or (at your
- option) any later version. This library 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 Library General Public License for more details.
- You should have received a copy of the GNU Library General Public
- License along with this library; if not, write to the Free Software
- Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
- */
-
-
- #ifdef __GNUG__
- #pragma implementation
- #endif
- #include <limits.h>
- #include "<T>.PHPQ.h"
-
- //
- // This defines a Pairing Heap structure
- //
- // See ``The Pairing Heap: A New Form of Self-Adjusting Heap''
- // Fredman, Segdewick et al,
- // Algorithmica (1986) 1:111-129
- //
- // In particular, this implements the pairing heap using the circular
- // list.
- //
- //
-
- <T>PHPQ::<T>PHPQ(int sz)
- {
- storage = 0;
- root = 0;
- count = 0;
- size = 0;
- prealloc(sz);
- }
-
- <T>PHPQ::<T>PHPQ(<T>PHPQ& a)
- {
- storage = 0;
- root = 0;
- count = 0;
- size = 0;
- prealloc(a.size);
- for (Pix i = a.first(); i != 0; a.next(i)) enq(a(i));
- }
-
-
- void <T>PHPQ::prealloc(int newsize)
- {
- ++newsize; // leave a spot for freelist
- if (size != 0)
- {
- int news = size;
- while (news <= newsize) news = (news * 3) / 2;
- newsize = news;
- }
- // see if indices are OK
- <T>PHPQNode test;
- test.sibling = 0;
- test.sibling = ~test.sibling;
- if ((unsigned long)newsize > (unsigned long)(test.sibling))
- error("storage size exceeds index range");
-
- if (storage == 0)
- {
- storage = new <T>PHPQNode[size = newsize];
- for (int i = 0; i < size; ++i)
- {
- storage[i].sibling = i + 1;
- storage[i].valid = 0;
- }
- storage[size-1].sibling = 0;
- }
- else
- {
- <T>PHPQNode* newstor = new <T>PHPQNode[newsize];
- for (int i = 1; i < size; ++i)
- newstor[i] = storage[i];
- delete [] storage;
- storage = newstor;
- for (int i = size; i < newsize; ++i)
- {
- storage[i].sibling = i + 1;
- storage[i].valid = 0;
- }
- storage[newsize-1].sibling = 0;
- storage[0].sibling = size;
- size = newsize;
- }
- }
-
-
- void <T>PHPQ::clear()
- {
- for (int i = 0; i < size; ++i)
- {
- storage[i].sibling = i + 1;
- storage[i].valid = 0;
- }
- storage[size-1].sibling = 0;
- root = 0;
- count = 0;
- }
-
- Pix <T>PHPQ::enq(<T&> item)
- {
- ++count;
- if (storage[0].sibling == 0)
- prealloc(count);
-
- int cell = storage[0].sibling;
- storage[0].sibling = storage[cell].sibling;
- storage[cell].sibling = 0;
- storage[cell].children = 0;
- storage[cell].item = item;
- storage[cell].valid = 1;
-
- if (root == 0)
- {
- root = cell;
- return Pix(root);
- }
- else
- {
- int parent;
- int child;
-
- if (<T>LE(storage[root].item, storage[cell].item))
- {
- parent = root; child = cell;
- }
- else
- {
- parent = cell; child = root;
- }
- int popsKid = storage[parent].children;
-
- if (popsKid == 0)
- {
- storage[parent].children = child;
- storage[child].sibling = child;
- }
- else
- {
- int temp = storage[popsKid].sibling;
- storage[popsKid].sibling = child;
- storage[child].sibling = temp;
- storage[parent].children = child;
- }
- root = parent;
- return Pix(cell);
- }
- }
-
- //
- // Item removal is the most complicated routine.
- //
- // We remove the root (should there be one) and then select a new
- // root. The siblings of the root are in a circular list. We continue
- // to pair elements in this list until there is a single element.
- // This element will be the new root.
-
- void <T>PHPQ::del_front()
- {
- int valid = 0;
- do
- {
- if (root == 0) return;
- if ((valid = storage[root].valid))
- --count;
- storage[root].valid = 0;
- int child = storage[root].children;
- storage[root].sibling = storage[0].sibling;
- storage[0].sibling = root;
-
- if (child == 0)
- {
- root = 0;
- return;
- }
- else
- {
- while(storage[child].sibling != child)
- {
- // We have at least two kids, but we may only have
- // two kids. So, oneChild != child, but it is possible
- // that twoChild == child.
-
- int oneChild = storage[child].sibling;
- int twoChild = storage[oneChild].sibling;
-
- // Remove the two from the sibling list
-
- storage[child].sibling = storage[twoChild].sibling;
- storage[oneChild].sibling = 0;
- storage[twoChild].sibling = 0;
-
- int bestChild;
- int worstChild;
-
- if (<T>LE(storage[oneChild].item, storage[twoChild].item))
- {
- bestChild = oneChild; worstChild = twoChild;
- }
- else
- {
- bestChild = twoChild; worstChild = oneChild;
- }
- int popsKid = storage[bestChild].children;
-
- if (popsKid == 0)
- {
- storage[bestChild].children = worstChild;
- storage[worstChild].sibling = worstChild;
- }
- else
- {
- int temp = storage[popsKid].sibling;
- storage[popsKid].sibling = worstChild;
- storage[worstChild].sibling = temp;
- storage[bestChild].children = worstChild;
- }
- if (twoChild == child)
- {
- // We have reduced the two to one, so we'll be exiting.
- child = bestChild;
- storage[child].sibling = child;
- }
- else
- {
- // We've removed two siblings, now we need to insert
- // the better of the two
- storage[bestChild].sibling = storage[child].sibling;
- storage[child].sibling = bestChild;
- child = storage[bestChild].sibling;
- }
- }
- root = child;
- }
- } while ( !valid );
- }
-
- void <T>PHPQ::del(Pix p)
- {
- if (p == 0) error("null Pix");
- int i = int(p);
- if (storage[i].valid)
- {
- if (i == root)
- del_front();
- else
- {
- storage[i].valid = 0;
- --count;
- }
- }
- }
-
-
- Pix <T>PHPQ::seek(<T&> key)
- {
- for (int i = 1; i < size; ++i)
- if (storage[i].valid && <T>EQ(storage[i].item, key))
- return Pix(i);
- return 0;
- }
-
- Pix <T>PHPQ::first()
- {
- for (int i = 1; i < size; ++i)
- if (storage[i].valid)
- return Pix(i);
- return 0;
- }
-
-
- void <T>PHPQ::next(Pix& p)
- {
- if (p == 0) return;
- for (int i = int(p)+1; i < size; ++i)
- if (storage[i].valid)
- {
- p = Pix(i);
- return;
- }
- p = 0;
- }
-
- int <T>PHPQ::OK()
- {
- int v = storage != 0;
- int n = 0;
- for (int i = 0; i < size; ++i) if (storage[i].valid) ++n;
- v &= n == count;
- v &= check_sibling_list(root);
- int ct = INT_MAX;
- n = 0;
- int f = storage[0].sibling;
- while (f != 0 && ct-- > 0)
- {
- f = storage[f].sibling;
- ++n;
- }
- v &= ct > 0;
- v &= n <= size - count;
- if (!v) error("invariant failure");
- return v;
- }
-
-
- int <T>PHPQ::check_sibling_list(int t)
- {
- if (t != 0)
- {
- int s = t;
- long ct = LONG_MAX; // Lots of chances to find self!
- do
- {
- if (storage[s].valid && !check_sibling_list(storage[s].children))
- return 0;
- s = storage[s].sibling;
- } while (ct-- > 0 && s != t && s != 0);
- if (ct <= 0) return 0;
- }
- return 1;
- }
-
-
-