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// This may look like C code, but it is really -*- C++ -*-
/* 
Copyright (C) 1988 Free Software Foundation
    written by Doug Lea (dl@rocky.oswego.edu)

This file is part of GNU CC.

GNU CC is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY.  No author or distributor
accepts responsibility to anyone for the consequences of using it
or for whether it serves any particular purpose or works at all,
unless he says so in writing.  Refer to the GNU CC General Public
License for full details.

Everyone is granted permission to copy, modify and redistribute
GNU CC, but only under the conditions described in the
GNU CC General Public License.   A copy of this license is
supposed to have been given to you along with GNU CC so you
can know your rights and responsibilities.  It should be in a
file named COPYING.  Among other things, the copyright notice
and this notice must be preserved on all copies.  
*/

#include <stream.h>
#include <assert.h>
#include "<T>.<C>.SplayMap.h"


/* 

 struct to simulate the special `null' node in the Sleater & Tarjan JACM 1985
 splay tree algorithms

 All routines use a version of their `simple top-down' splay alg. (p 669)

*/

struct _dummySplayNode
{
  <T><C>SplayNode*    lt;
  <T><C>SplayNode*    rt;
  <T><C>SplayNode*    par;
} _dummy_null;


/*
 traversal primitives
*/


<T><C>SplayNode* <T><C>SplayMap::leftmost()
{
  <T><C>SplayNode* t = root;
  if (t != 0) while (t->lt != 0) t = t->lt;
  return t;
}

<T><C>SplayNode* <T><C>SplayMap::rightmost()
{
  <T><C>SplayNode* t = root;
  if (t != 0) while (t->rt != 0) t = t->rt;
  return t;
}

<T><C>SplayNode* <T><C>SplayMap::succ(<T><C>SplayNode* t)
{
  if (t == 0)
    return 0;
  if (t->rt != 0)
  {
    t = t->rt;
    while (t->lt != 0) t = t->lt;
    return t;
  }
  else
  {
    for (;;)
    {
      if (t->par == 0 || t == t->par->lt)
        return t->par;
      else
        t = t->par;
    }
  }
}

<T><C>SplayNode* <T><C>SplayMap::pred(<T><C>SplayNode* t)
{
  if (t == 0)
    return 0;
  else if (t->lt != 0)
  {
    t = t->lt;
    while (t->rt != 0) t = t->rt;
    return t;
  }
  else
  {
    for (;;)
    {
      if (t->par == 0 || t == t->par->rt)
        return t->par;
      else
        t = t->par;
    }
  }
}


Pix <T><C>SplayMap::seek(<T&> key)
{
  <T><C>SplayNode* t = root;
  if (t == 0)
    return 0;

  int comp = <T>CMP(key, t->item);
  if (comp == 0)
    return Pix(t);

  <T><C>SplayNode* dummy = (<T><C>SplayNode*)(&_dummy_null);
  <T><C>SplayNode* l = dummy;
  <T><C>SplayNode* r = dummy;
  dummy->rt = dummy->lt = dummy->par = 0;

  while (comp != 0)
  {
    if (comp > 0)
    {
      <T><C>SplayNode* tr = t->rt;
      if (tr == 0)
        break;
      else
      {
        comp = <T>CMP(key, tr->item);
        if (comp <= 0 || tr->rt == 0)
        {
          l->rt = t; t->par = l;
          l = t;
          t = tr;
          if (comp >= 0)
            break;
        }
        else
        {
          if ((t->rt = tr->lt) != 0) t->rt->par = t;
          tr->lt = t; t->par = tr;
          l->rt = tr; tr->par = l;
          l = tr;
          t = tr->rt;
          comp = <T>CMP(key, t->item);
        }
      }
    }
    else
    {
      <T><C>SplayNode* tl = t->lt;
      if (tl == 0)
        break;
      else
      {
        comp = <T>CMP(key, tl->item);
        if (comp >= 0 || tl->lt == 0)
        {
          r->lt = t; t->par = r;
          r = t;
          t = tl;
          if (comp <= 0)
            break;
        }
        else
        {
          if ((t->lt = tl->rt) != 0) t->lt->par = t;
          tl->rt = t; t->par = tl;
          r->lt = tl; tl->par = r;
          r = tl;
          t = tl->lt;
          comp = <T>CMP(key, t->item);
        }
      }
    }
  }
  if ((r->lt = t->rt) != 0) r->lt->par = r;
  if ((l->rt = t->lt) != 0) l->rt->par = l;
  if ((t->lt = dummy->rt) != 0) t->lt->par = t;
  if ((t->rt = dummy->lt) != 0) t->rt->par = t;
  t->par = 0;
  root = t;
  return (comp == 0) ? Pix(t) : 0;
}


<C>& <T><C>SplayMap::operator [] (<T&> item)
{
  <T><C>SplayNode* t = root;
  if (t == 0)
  {
    ++count;
    root = new <T><C>SplayNode(item, def);
    return root->cont;
  }
  int comp = <T>CMP(item, t->item);
  if (comp == 0)
    return t->cont;

  <T><C>SplayNode* dummy = (<T><C>SplayNode*)(&_dummy_null);
  <T><C>SplayNode* l = dummy;
  <T><C>SplayNode* r = dummy;
  dummy->rt = dummy->lt = dummy->par = 0;

  while (comp != 0)
  {
    if (comp > 0)
    {
      <T><C>SplayNode* tr = t->rt;
      if (tr == 0)
      {
        ++count;
        tr = new <T><C>SplayNode(item, def);
        comp = 0;
      }
      else
        comp = <T>CMP(item, tr->item);
        
      if (comp <= 0)
      {
        l->rt = t; t->par = l;
        l = t;
        t = tr;
      }
      else 
      {
        <T><C>SplayNode* trr = tr->rt;
        if (trr == 0)
        {
          ++count;
          trr =  new <T><C>SplayNode(item, def);
          comp = 0;
        }
        else
          comp = <T>CMP(item, trr->item);

        if ((t->rt = tr->lt) != 0) t->rt->par = t;
        tr->lt = t; t->par = tr;
        l->rt = tr; tr->par = l;
        l = tr;
        t = trr;
      }
    }
    else
    {
      <T><C>SplayNode* tl = t->lt;
      if (tl == 0)
      {
        ++count;
        tl = new <T><C>SplayNode(item, def);
        comp = 0;
      }
      else
        comp = <T>CMP(item, tl->item);

      if (comp >= 0)
      {
        r->lt = t; t->par = r;
        r = t;
        t = tl;
      }
      else
      {
        <T><C>SplayNode* tll = tl->lt;
        if (tll == 0)
        {
          ++count;
          tll = new <T><C>SplayNode(item, def);
          comp = 0;
        }
        else
          comp = <T>CMP(item, tll->item);

        if ((t->lt = tl->rt) != 0) t->lt->par = t;
        tl->rt = t; t->par = tl;
        r->lt = tl; tl->par = r;
        r = tl;
        t = tll;
      }
    }
  }
  if ((r->lt = t->rt) != 0) r->lt->par = r;
  if ((l->rt = t->lt) != 0) l->rt->par = l;
  if ((t->lt = dummy->rt) != 0) t->lt->par = t;
  if ((t->rt = dummy->lt) != 0) t->rt->par = t;
  t->par = 0;
  root = t;
  return root->cont;
}

void <T><C>SplayMap::del(<T&> key)
{
  <T><C>SplayNode* t = (<T><C>SplayNode*)(seek(key));
  if (t == 0) return;

  <T><C>SplayNode* p = t->par;

  --count;
  if (t->rt == 0)
  {
    if (t == root)
    {
      if ((root = t->lt) != 0) root->par = 0;
    }
    else if (t == p->lt)
    {
      if ((p->lt = t->lt) != 0) p->lt->par = p;
    }
    else
      if ((p->rt = t->lt) != 0) p->rt->par = p;
  }
  else
  {
    <T><C>SplayNode* r = t->rt;
    <T><C>SplayNode* l = r->lt;
    for(;;)
    {
      if (l == 0)
      {
        if (t == root)
        {
          root = r;
          r->par = 0;
        }
        else if (t == p->lt) 
        {
          p->lt = r;
          r->par = p;
        }
        else
        {
          p->rt = r;
          r->par = p;
        }
        if ((r->lt = t->lt) != 0) r->lt->par = r;
        break;
      }
      else
      {
        if ((r->lt = l->rt) != 0) r->lt->par = r;
        l->rt = r; r->par = l;
        r = l;
        l = l->lt;
      }
    }
  }
  delete t;
}


void <T><C>SplayMap::_kill(<T><C>SplayNode* t)
{
  if (t != 0)
  {
    _kill(t->lt);
    _kill(t->rt);
    delete t;
  }
}


<T><C>SplayNode* <T><C>SplayMap::_copy(<T><C>SplayNode* t)
{
  if (t != 0)
  {
    <T><C>SplayNode* l = _copy(t->lt);
    <T><C>SplayNode* r = _copy(t->rt);
    <T><C>SplayNode* x = new <T><C>SplayNode(t->item, t->cont, l, r);
    if (l != 0) l->par = x;
    if (r != 0) r->par = x;
    return x;
  }
  else 
    return 0;
}


int <T><C>SplayMap::OK()
{
  int v = 1;
  if (root == 0) 
    v = count == 0;
  else
  {
    int n = 1;
    <T><C>SplayNode* trail = leftmost();
    <T><C>SplayNode* t = succ(trail);
    while (t != 0)
    {
      ++n;
      v &= <T>CMP(trail->item, t->item) < 0;
      trail = t;
      t = succ(t);
    }
    v &= n == count;
  }
  if (!v) error("invariant failure");
  return v;
}
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