691 lines
14 KiB
COBOL
691 lines
14 KiB
COBOL
// This may look like C code, but it is really -*- C++ -*-
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/*
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Copyright (C) 1988 Free Software Foundation
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written by Doug Lea (dl@rocky.oswego.edu)
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This file is part of the GNU C++ Library. This library is free
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software; you can redistribute it and/or modify it under the terms of
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the GNU Library General Public License as published by the Free
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Software Foundation; either version 2 of the License, or (at your
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option) any later version. This library is distributed in the hope
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that it will be useful, but WITHOUT ANY WARRANTY; without even the
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implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
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PURPOSE. See the GNU Library General Public License for more details.
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You should have received a copy of the GNU Library General Public
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License along with this library; if not, write to the Free Software
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Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
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*/
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#ifdef __GNUG__
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#pragma implementation
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#endif
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#include <stream.h>
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#include "<T>.<C>.RAVLMap.h"
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/*
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constants & inlines for maintaining balance & thread status in tree nodes
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*/
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#define AVLBALANCEMASK 3
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#define AVLBALANCED 0
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#define AVLLEFTHEAVY 1
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#define AVLRIGHTHEAVY 2
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#define LTHREADBIT 4
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#define RTHREADBIT 8
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static inline int bf(<T><C>RAVLNode* t)
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{
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return t->stat & AVLBALANCEMASK;
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}
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static inline void set_bf(<T><C>RAVLNode* t, int b)
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{
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t->stat = (t->stat & ~AVLBALANCEMASK) | (b & AVLBALANCEMASK);
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}
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static inline int rthread(<T><C>RAVLNode* t)
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{
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return t->stat & RTHREADBIT;
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}
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static inline void set_rthread(<T><C>RAVLNode* t, int b)
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{
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if (b)
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t->stat |= RTHREADBIT;
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else
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t->stat &= ~RTHREADBIT;
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}
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static inline int lthread(<T><C>RAVLNode* t)
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{
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return t->stat & LTHREADBIT;
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}
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static inline void set_lthread(<T><C>RAVLNode* t, int b)
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{
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if (b)
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t->stat |= LTHREADBIT;
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else
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t->stat &= ~LTHREADBIT;
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}
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/*
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traversal primitives
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*/
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<T><C>RAVLNode* <T><C>RAVLMap::leftmost()
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{
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<T><C>RAVLNode* t = root;
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if (t != 0) while (t->lt != 0) t = t->lt;
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return t;
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}
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<T><C>RAVLNode* <T><C>RAVLMap::rightmost()
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{
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<T><C>RAVLNode* t = root;
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if (t != 0) while (t->rt != 0) t = t->rt;
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return t;
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}
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<T><C>RAVLNode* <T><C>RAVLMap::succ(<T><C>RAVLNode* t)
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{
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<T><C>RAVLNode* r = t->rt;
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if (!rthread(t)) while (!lthread(r)) r = r->lt;
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return r;
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}
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<T><C>RAVLNode* <T><C>RAVLMap::pred(<T><C>RAVLNode* t)
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{
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<T><C>RAVLNode* l = t->lt;
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if (!lthread(t)) while (!rthread(l)) l = l->rt;
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return l;
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}
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Pix <T><C>RAVLMap::seek(<T&> key)
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{
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<T><C>RAVLNode* t = root;
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if (t == 0)
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return 0;
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for (;;)
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{
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int cmp = <T>CMP(key, t->item);
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if (cmp == 0)
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return Pix(t);
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else if (cmp < 0)
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{
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if (lthread(t))
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return 0;
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else
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t = t->lt;
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}
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else if (rthread(t))
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return 0;
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else
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t = t->rt;
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}
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}
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int <T><C>RAVLMap::rankof(<T&> key)
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{
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int r;
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<T><C>RAVLNode* t = root;
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if (t == 0)
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return 0;
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for (r=t->rank; t != 0; r+=t->rank)
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{
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int cmp = <T>CMP(key, t->item);
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if (cmp == 0)
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return r;
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else if (cmp < 0)
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{
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if (lthread(t))
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return 0;
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else
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{
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r -= t->rank;
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t = t->lt;
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}
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}
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else if (rthread(t))
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return 0;
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else
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{
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t = t->rt;
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}
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}
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return 0;
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}
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Pix <T><C>RAVLMap::ranktoPix(int i)
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{
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int r;
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<T><C>RAVLNode* t = root;
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if ((i<1)||(i>count))
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return 0;
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for (r=t->rank; r!=i; r+=t->rank)
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{
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if (r>i)
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{
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r -= t->rank;
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t = t->lt;
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}
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else
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t = t->rt;
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}
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return Pix(t);
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}
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/*
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The combination of threads and AVL bits make adding & deleting
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interesting, but very awkward.
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We use the following statics to avoid passing them around recursively
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*/
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static int _need_rebalancing; // to send back balance info from rec. calls
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static <T>* _target_item; // add/del_item target
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static <T><C>RAVLNode* _found_node; // returned added/deleted node
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static int _already_found; // for deletion subcases
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static int _rank_changed; // for rank computation
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void <T><C>RAVLMap:: _add(<T><C>RAVLNode*& t)
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{
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int cmp = <T>CMP(*_target_item, t->item);
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if (cmp == 0)
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{
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_found_node = t;
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return;
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}
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else if (cmp < 0)
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{
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if (lthread(t))
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{
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++count;
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_found_node = new <T><C>RAVLNode(*_target_item, def);
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set_lthread(_found_node, 1);
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set_rthread(_found_node, 1);
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_found_node->lt = t->lt;
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_found_node->rt = t;
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t->lt = _found_node;
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set_lthread(t, 0);
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_need_rebalancing = 1;
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_rank_changed = 1;
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}
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else
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_add(t->lt);
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if (_rank_changed) ++t->rank;
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if (_need_rebalancing)
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{
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switch(bf(t))
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{
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case AVLRIGHTHEAVY:
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set_bf(t, AVLBALANCED);
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_need_rebalancing = 0;
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return;
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case AVLBALANCED:
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set_bf(t, AVLLEFTHEAVY);
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return;
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case AVLLEFTHEAVY:
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{
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<T><C>RAVLNode* l = t->lt;
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if (bf(l) == AVLLEFTHEAVY)
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{
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t->rank -= l->rank;
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if (rthread(l))
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t->lt = l;
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else
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t->lt = l->rt;
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set_lthread(t, rthread(l));
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l->rt = t;
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set_rthread(l, 0);
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set_bf(t, AVLBALANCED);
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set_bf(l, AVLBALANCED);
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t = l;
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_need_rebalancing = 0;
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}
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else
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{
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<T><C>RAVLNode* r = l->rt;
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r->rank += l->rank;
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t->rank -= r->rank;
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set_rthread(l, lthread(r));
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if (lthread(r))
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l->rt = r;
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else
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l->rt = r->lt;
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r->lt = l;
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set_lthread(r, 0);
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set_lthread(t, rthread(r));
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if (rthread(r))
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t->lt = r;
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else
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t->lt = r->rt;
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r->rt = t;
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set_rthread(r, 0);
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if (bf(r) == AVLLEFTHEAVY)
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set_bf(t, AVLRIGHTHEAVY);
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else
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set_bf(t, AVLBALANCED);
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if (bf(r) == AVLRIGHTHEAVY)
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set_bf(l, AVLLEFTHEAVY);
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else
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set_bf(l, AVLBALANCED);
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set_bf(r, AVLBALANCED);
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t = r;
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_need_rebalancing = 0;
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return;
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}
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}
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}
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}
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}
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else
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{
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if (rthread(t))
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{
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++count;
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_found_node = new <T><C>RAVLNode(*_target_item, def);
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set_rthread(t, 0);
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set_lthread(_found_node, 1);
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set_rthread(_found_node, 1);
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_found_node->lt = t;
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_found_node->rt = t->rt;
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t->rt = _found_node;
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_need_rebalancing = 1;
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_rank_changed = 1;
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}
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else
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_add(t->rt);
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if (_need_rebalancing)
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{
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switch(bf(t))
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{
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case AVLLEFTHEAVY:
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set_bf(t, AVLBALANCED);
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_need_rebalancing = 0;
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return;
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case AVLBALANCED:
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set_bf(t, AVLRIGHTHEAVY);
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return;
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case AVLRIGHTHEAVY:
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{
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<T><C>RAVLNode* r = t->rt;
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if (bf(r) == AVLRIGHTHEAVY)
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{
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r->rank += t->rank;
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if (lthread(r))
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t->rt = r;
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else
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t->rt = r->lt;
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set_rthread(t, lthread(r));
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r->lt = t;
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set_lthread(r, 0);
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set_bf(t, AVLBALANCED);
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set_bf(r, AVLBALANCED);
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t = r;
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_need_rebalancing = 0;
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}
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else
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{
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<T><C>RAVLNode* l = r->lt;
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r->rank -= l->rank;
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l->rank += t->rank;
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set_lthread(r, rthread(l));
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if (rthread(l))
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r->lt = l;
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else
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r->lt = l->rt;
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l->rt = r;
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set_rthread(l, 0);
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set_rthread(t, lthread(l));
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if (lthread(l))
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t->rt = l;
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else
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t->rt = l->lt;
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l->lt = t;
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set_lthread(l, 0);
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if (bf(l) == AVLRIGHTHEAVY)
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set_bf(t, AVLLEFTHEAVY);
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else
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set_bf(t, AVLBALANCED);
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if (bf(l) == AVLLEFTHEAVY)
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set_bf(r, AVLRIGHTHEAVY);
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else
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set_bf(r, AVLBALANCED);
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set_bf(l, AVLBALANCED);
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t = l;
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_need_rebalancing = 0;
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return;
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}
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}
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}
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}
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}
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}
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<C>& <T><C>RAVLMap::operator [] (<T&> item)
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{
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if (root == 0)
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{
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++count;
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root = new <T><C>RAVLNode(item, def);
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set_rthread(root, 1);
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set_lthread(root, 1);
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return root->cont;
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}
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else
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{
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_target_item = &item;
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_need_rebalancing = 0;
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_rank_changed = 0;
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_add(root);
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return _found_node->cont;
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}
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}
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void <T><C>RAVLMap::_del(<T><C>RAVLNode* par, <T><C>RAVLNode*& t)
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{
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int comp;
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if (_already_found)
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{
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if (rthread(t))
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comp = 0;
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else
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comp = 1;
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}
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else
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comp = <T>CMP(*_target_item, t->item);
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if (comp == 0)
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{
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if (lthread(t) && rthread(t))
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{
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_found_node = t;
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if (t == par->lt)
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{
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set_lthread(par, 1);
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par->lt = t->lt;
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}
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else
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{
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set_rthread(par, 1);
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par->rt = t->rt;
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}
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_need_rebalancing = 1;
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_rank_changed = 1;
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return;
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}
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else if (lthread(t))
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{
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_found_node = t;
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<T><C>RAVLNode* s = succ(t);
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if (s != 0 && lthread(s))
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s->lt = t->lt;
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t = t->rt;
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_need_rebalancing = 1;
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_rank_changed = 1;
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return;
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}
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else if (rthread(t))
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{
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_found_node = t;
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<T><C>RAVLNode* p = pred(t);
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if (p != 0 && rthread(p))
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p->rt = t->rt;
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t = t->lt;
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_need_rebalancing = 1;
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_rank_changed = 1;
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return;
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}
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else // replace item & find someone deletable
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{
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<T><C>RAVLNode* p = pred(t);
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t->item = p->item;
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t->cont = p->cont;
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_already_found = 1;
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comp = -1; // fall through below to left
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}
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}
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if (comp < 0)
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{
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if (lthread(t))
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return;
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_del(t, t->lt);
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if (_rank_changed) --t->rank;
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if (!_need_rebalancing)
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return;
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switch (bf(t))
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{
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case AVLLEFTHEAVY:
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set_bf(t, AVLBALANCED);
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return;
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case AVLBALANCED:
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set_bf(t, AVLRIGHTHEAVY);
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_need_rebalancing = 0;
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return;
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case AVLRIGHTHEAVY:
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{
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<T><C>RAVLNode* r = t->rt;
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switch (bf(r))
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{
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case AVLBALANCED:
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r->rank += t->rank;
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if (lthread(r))
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t->rt = r;
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else
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t->rt = r->lt;
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set_rthread(t, lthread(r));
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r->lt = t;
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set_lthread(r, 0);
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set_bf(t, AVLRIGHTHEAVY);
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set_bf(r, AVLLEFTHEAVY);
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_need_rebalancing = 0;
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t = r;
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return;
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case AVLRIGHTHEAVY:
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r->rank += t->rank;
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if (lthread(r))
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t->rt = r;
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else
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t->rt = r->lt;
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set_rthread(t, lthread(r));
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r->lt = t;
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set_lthread(r, 0);
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set_bf(t, AVLBALANCED);
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set_bf(r, AVLBALANCED);
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t = r;
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return;
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case AVLLEFTHEAVY:
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{
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<T><C>RAVLNode* l = r->lt;
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r->rank -= l->rank;
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l->rank += t->rank;
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set_lthread(r, rthread(l));
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if (rthread(l))
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r->lt = l;
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else
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r->lt = l->rt;
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l->rt = r;
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set_rthread(l, 0);
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set_rthread(t, lthread(l));
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if (lthread(l))
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t->rt = l;
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else
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t->rt = l->lt;
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l->lt = t;
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set_lthread(l, 0);
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if (bf(l) == AVLRIGHTHEAVY)
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set_bf(t, AVLLEFTHEAVY);
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else
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set_bf(t, AVLBALANCED);
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if (bf(l) == AVLLEFTHEAVY)
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set_bf(r, AVLRIGHTHEAVY);
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else
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set_bf(r, AVLBALANCED);
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set_bf(l, AVLBALANCED);
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t = l;
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return;
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}
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}
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}
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}
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}
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else
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{
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if (rthread(t))
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return;
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_del(t, t->rt);
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if (!_need_rebalancing)
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return;
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switch (bf(t))
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{
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case AVLRIGHTHEAVY:
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set_bf(t, AVLBALANCED);
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return;
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case AVLBALANCED:
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set_bf(t, AVLLEFTHEAVY);
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_need_rebalancing = 0;
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return;
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case AVLLEFTHEAVY:
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{
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<T><C>RAVLNode* l = t->lt;
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switch (bf(l))
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{
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case AVLBALANCED:
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t->rank -= l->rank;
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if (rthread(l))
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t->lt = l;
|
|
else
|
|
t->lt = l->rt;
|
|
set_lthread(t, rthread(l));
|
|
l->rt = t;
|
|
set_rthread(l, 0);
|
|
set_bf(t, AVLLEFTHEAVY);
|
|
set_bf(l, AVLRIGHTHEAVY);
|
|
_need_rebalancing = 0;
|
|
t = l;
|
|
return;
|
|
case AVLLEFTHEAVY:
|
|
t->rank -= l->rank;
|
|
if (rthread(l))
|
|
t->lt = l;
|
|
else
|
|
t->lt = l->rt;
|
|
set_lthread(t, rthread(l));
|
|
l->rt = t;
|
|
set_rthread(l, 0);
|
|
set_bf(t, AVLBALANCED);
|
|
set_bf(l, AVLBALANCED);
|
|
t = l;
|
|
return;
|
|
case AVLRIGHTHEAVY:
|
|
{
|
|
<T><C>RAVLNode* r = l->rt;
|
|
r->rank += l->rank;
|
|
t->rank -= r->rank;
|
|
set_rthread(l, lthread(r));
|
|
if (lthread(r))
|
|
l->rt = r;
|
|
else
|
|
l->rt = r->lt;
|
|
r->lt = l;
|
|
set_lthread(r, 0);
|
|
set_lthread(t, rthread(r));
|
|
if (rthread(r))
|
|
t->lt = r;
|
|
else
|
|
t->lt = r->rt;
|
|
r->rt = t;
|
|
set_rthread(r, 0);
|
|
if (bf(r) == AVLLEFTHEAVY)
|
|
set_bf(t, AVLRIGHTHEAVY);
|
|
else
|
|
set_bf(t, AVLBALANCED);
|
|
if (bf(r) == AVLRIGHTHEAVY)
|
|
set_bf(l, AVLLEFTHEAVY);
|
|
else
|
|
set_bf(l, AVLBALANCED);
|
|
set_bf(r, AVLBALANCED);
|
|
t = r;
|
|
return;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
|
|
void <T><C>RAVLMap::del(<T&> item)
|
|
{
|
|
if (root == 0) return;
|
|
_need_rebalancing = 0;
|
|
_already_found = 0;
|
|
_found_node = 0;
|
|
_rank_changed = 0;
|
|
_target_item = &item;
|
|
_del(root, root);
|
|
if (_found_node)
|
|
{
|
|
delete(_found_node);
|
|
if (--count == 0)
|
|
root = 0;
|
|
}
|
|
}
|
|
|
|
void <T><C>RAVLMap::_kill(<T><C>RAVLNode* t)
|
|
{
|
|
if (t != 0)
|
|
{
|
|
if (!lthread(t)) _kill(t->lt);
|
|
if (!rthread(t)) _kill(t->rt);
|
|
delete t;
|
|
}
|
|
}
|
|
|
|
|
|
<T><C>RAVLMap::<T><C>RAVLMap(<T><C>RAVLMap& b) :<T><C>Map(b.def)
|
|
{
|
|
root = 0;
|
|
count = 0;
|
|
for (Pix i = b.first(); i != 0; b.next(i))
|
|
(*this)[b.key(i)] = b.contents(i);
|
|
}
|
|
|
|
|
|
int <T><C>RAVLMap::OK()
|
|
{
|
|
int v = 1;
|
|
if (root == 0)
|
|
v = count == 0;
|
|
else
|
|
{
|
|
int n = 1;
|
|
<T><C>RAVLNode* trail = leftmost();
|
|
v &= rankof(trail->item) == n;
|
|
<T><C>RAVLNode* t = succ(trail);
|
|
while (t != 0)
|
|
{
|
|
++n;
|
|
v &= <T>CMP(trail->item, t->item) < 0;
|
|
v &= rankof(t->item) == n;
|
|
trail = t;
|
|
t = succ(t);
|
|
}
|
|
v &= n == count;
|
|
}
|
|
if (!v) error("invariant failure");
|
|
return v;
|
|
}
|