/*

 *

 *

 * Copyright (c) 1994

 * Hewlett-Packard Company

 *

 * Copyright (c) 1996,1997

 * Silicon Graphics Computer Systems, Inc.

 *

 * Copyright (c) 1997

 * Moscow Center for SPARC Technology

 *

 * Copyright (c) 1999 

 * Boris Fomitchev

 *

 * This material is provided "as is", with absolutely no warranty expressed

 * or implied. Any use is at your own risk.

 *

 * Permission to use or copy this software for any purpose is hereby granted 

 * without fee, provided the above notices are retained on all copies.

 * Permission to modify the code and to distribute modified code is granted,

 * provided the above notices are retained, and a notice that the code was

 * modified is included with the above copyright notice.

 *

 * Modified CRP 7/10/00 for improved conformance / efficiency on insert_unique /

 * insert_equal with valid hint -- efficiency is improved all around, and it is

 * should now be standard conforming for complexity on insert point immediately

 * after hint (amortized constant time).

 *

 */

#ifndef _STLP_TREE_C

#define _STLP_TREE_C

#ifndef _STLP_INTERNAL_TREE_H

# include <stl/_tree.h>

#endif

// fbp: these defines are for outline methods definitions.

// needed for definitions to be portable. Should not be used in method bodies.

# if defined  ( _STLP_NESTED_TYPE_PARAM_BUG )

#  define __iterator__        _Rb_tree_iterator<_Value, _Nonconst_traits<_Value> > 

#  define __size_type__       size_t

#  define iterator __iterator__

# else

#  define __iterator__  _STLP_TYPENAME_ON_RETURN_TYPE _Rb_tree<_Key, _Value, _KeyOfValue, _Compare, _Alloc>::iterator

#  define __size_type__  _STLP_TYPENAME_ON_RETURN_TYPE _Rb_tree<_Key, _Value, _KeyOfValue, _Compare, _Alloc>::size_type

# endif

#if defined ( _STLP_DEBUG)

#  define _Rb_tree __WORKAROUND_DBG_RENAME(Rb_tree)

#endif

_STLP_BEGIN_NAMESPACE

# if defined (_STLP_EXPOSE_GLOBALS_IMPLEMENTATION)

template <class _Dummy> void _STLP_CALL

_Rb_global<_Dummy>::_Rotate_left(_Rb_tree_node_base* __x, _Rb_tree_node_base*& __root)

{

  _Rb_tree_node_base* __y = __x->_M_right;

  __x->_M_right = __y->_M_left;

  if (__y->_M_left !=0)

    __y->_M_left->_M_parent = __x;

  __y->_M_parent = __x->_M_parent;

  if (__x == __root)

    __root = __y;

  else if (__x == __x->_M_parent->_M_left)

    __x->_M_parent->_M_left = __y;

  else

    __x->_M_parent->_M_right = __y;

  __y->_M_left = __x;

  __x->_M_parent = __y;

}

template <class _Dummy> void _STLP_CALL 

_Rb_global<_Dummy>::_Rotate_right(_Rb_tree_node_base* __x, _Rb_tree_node_base*& __root)

{

  _Rb_tree_node_base* __y = __x->_M_left;

  __x->_M_left = __y->_M_right;

  if (__y->_M_right != 0)

    __y->_M_right->_M_parent = __x;

  __y->_M_parent = __x->_M_parent;

  if (__x == __root)

    __root = __y;

  else if (__x == __x->_M_parent->_M_right)

    __x->_M_parent->_M_right = __y;

  else

    __x->_M_parent->_M_left = __y;

  __y->_M_right = __x;

  __x->_M_parent = __y;

}

template <class _Dummy> void _STLP_CALL

_Rb_global<_Dummy>::_Rebalance(_Rb_tree_node_base* __x, 

			       _Rb_tree_node_base*& __root)

{

  __x->_M_color = _S_rb_tree_red;

  while (__x != __root && __x->_M_parent->_M_color == _S_rb_tree_red) {

    if (__x->_M_parent == __x->_M_parent->_M_parent->_M_left) {

      _Rb_tree_node_base* __y = __x->_M_parent->_M_parent->_M_right;

      if (__y && __y->_M_color == _S_rb_tree_red) {

        __x->_M_parent->_M_color = _S_rb_tree_black;

        __y->_M_color = _S_rb_tree_black;

        __x->_M_parent->_M_parent->_M_color = _S_rb_tree_red;

        __x = __x->_M_parent->_M_parent;

      }

      else {

        if (__x == __x->_M_parent->_M_right) {

          __x = __x->_M_parent;

          _Rotate_left(__x, __root);

        }

        __x->_M_parent->_M_color = _S_rb_tree_black;

        __x->_M_parent->_M_parent->_M_color = _S_rb_tree_red;

        _Rotate_right(__x->_M_parent->_M_parent, __root);

      }

    }

    else {

      _Rb_tree_node_base* __y = __x->_M_parent->_M_parent->_M_left;

      if (__y && __y->_M_color == _S_rb_tree_red) {

        __x->_M_parent->_M_color = _S_rb_tree_black;

        __y->_M_color = _S_rb_tree_black;

        __x->_M_parent->_M_parent->_M_color = _S_rb_tree_red;

        __x = __x->_M_parent->_M_parent;

      }

      else {

        if (__x == __x->_M_parent->_M_left) {

          __x = __x->_M_parent;

          _Rotate_right(__x, __root);

        }

        __x->_M_parent->_M_color = _S_rb_tree_black;

        __x->_M_parent->_M_parent->_M_color = _S_rb_tree_red;

        _Rotate_left(__x->_M_parent->_M_parent, __root);

      }

    }

  }

  __root->_M_color = _S_rb_tree_black;

}

template <class _Dummy> _Rb_tree_node_base* _STLP_CALL

_Rb_global<_Dummy>::_Rebalance_for_erase(_Rb_tree_node_base* __z,

					 _Rb_tree_node_base*& __root,

					 _Rb_tree_node_base*& __leftmost,

					 _Rb_tree_node_base*& __rightmost)

{

  _Rb_tree_node_base* __y = __z;

  _Rb_tree_node_base* __x = 0;

  _Rb_tree_node_base* __x_parent = 0;

  if (__y->_M_left == 0)     // __z has at most one non-null child. y == z.

    __x = __y->_M_right;     // __x might be null.

  else

    if (__y->_M_right == 0)  // __z has exactly one non-null child. y == z.

      __x = __y->_M_left;    // __x is not null.

    else {                   // __z has two non-null children.  Set __y to

      __y = __y->_M_right;   //   __z's successor.  __x might be null.

      while (__y->_M_left != 0)

        __y = __y->_M_left;

      __x = __y->_M_right;

    }

  if (__y != __z) {          // relink y in place of z.  y is z's successor

    __z->_M_left->_M_parent = __y; 

    __y->_M_left = __z->_M_left;

    if (__y != __z->_M_right) {

      __x_parent = __y->_M_parent;

      if (__x) __x->_M_parent = __y->_M_parent;

      __y->_M_parent->_M_left = __x;      // __y must be a child of _M_left

      __y->_M_right = __z->_M_right;

      __z->_M_right->_M_parent = __y;

    }

    else

      __x_parent = __y;  

    if (__root == __z)

      __root = __y;

    else if (__z->_M_parent->_M_left == __z)

      __z->_M_parent->_M_left = __y;

    else 

      __z->_M_parent->_M_right = __y;

    __y->_M_parent = __z->_M_parent;

    _STLP_STD::swap(__y->_M_color, __z->_M_color);

    __y = __z;

    // __y now points to node to be actually deleted

  }

  else {                        // __y == __z

    __x_parent = __y->_M_parent;

    if (__x) __x->_M_parent = __y->_M_parent;   

    if (__root == __z)

      __root = __x;

    else 

      if (__z->_M_parent->_M_left == __z)

        __z->_M_parent->_M_left = __x;

      else

        __z->_M_parent->_M_right = __x;

    if (__leftmost == __z) 

      if (__z->_M_right == 0)        // __z->_M_left must be null also

        __leftmost = __z->_M_parent;

    // makes __leftmost == _M_header if __z == __root

      else

        __leftmost = _Rb_tree_node_base::_S_minimum(__x);

    if (__rightmost == __z)  

      if (__z->_M_left == 0)         // __z->_M_right must be null also

        __rightmost = __z->_M_parent;  

    // makes __rightmost == _M_header if __z == __root

      else                      // __x == __z->_M_left

        __rightmost = _Rb_tree_node_base::_S_maximum(__x);

  }

  if (__y->_M_color != _S_rb_tree_red) { 

    while (__x != __root && (__x == 0 || __x->_M_color == _S_rb_tree_black))

      if (__x == __x_parent->_M_left) {

        _Rb_tree_node_base* __w = __x_parent->_M_right;

        if (__w->_M_color == _S_rb_tree_red) {

          __w->_M_color = _S_rb_tree_black;

          __x_parent->_M_color = _S_rb_tree_red;

          _Rotate_left(__x_parent, __root);

          __w = __x_parent->_M_right;

        }

        if ((__w->_M_left == 0 || 

             __w->_M_left->_M_color == _S_rb_tree_black) && (__w->_M_right == 0 || 

             __w->_M_right->_M_color == _S_rb_tree_black)) {

          __w->_M_color = _S_rb_tree_red;

          __x = __x_parent;

          __x_parent = __x_parent->_M_parent;

        } else {

          if (__w->_M_right == 0 || 

              __w->_M_right->_M_color == _S_rb_tree_black) {

            if (__w->_M_left) __w->_M_left->_M_color = _S_rb_tree_black;

            __w->_M_color = _S_rb_tree_red;

            _Rotate_right(__w, __root);

            __w = __x_parent->_M_right;

          }

          __w->_M_color = __x_parent->_M_color;

          __x_parent->_M_color = _S_rb_tree_black;

          if (__w->_M_right) __w->_M_right->_M_color = _S_rb_tree_black;

          _Rotate_left(__x_parent, __root);

          break;

        }

      } else {                  // same as above, with _M_right <-> _M_left.

        _Rb_tree_node_base* __w = __x_parent->_M_left;

        if (__w->_M_color == _S_rb_tree_red) {

          __w->_M_color = _S_rb_tree_black;

          __x_parent->_M_color = _S_rb_tree_red;

          _Rotate_right(__x_parent, __root);

          __w = __x_parent->_M_left;

        }

        if ((__w->_M_right == 0 || 

             __w->_M_right->_M_color == _S_rb_tree_black) && (__w->_M_left == 0 || 

             __w->_M_left->_M_color == _S_rb_tree_black)) {

          __w->_M_color = _S_rb_tree_red;

          __x = __x_parent;

          __x_parent = __x_parent->_M_parent;

        } else {

          if (__w->_M_left == 0 || 

              __w->_M_left->_M_color == _S_rb_tree_black) {

            if (__w->_M_right) __w->_M_right->_M_color = _S_rb_tree_black;

            __w->_M_color = _S_rb_tree_red;

            _Rotate_left(__w, __root);

            __w = __x_parent->_M_left;

          }

          __w->_M_color = __x_parent->_M_color;

          __x_parent->_M_color = _S_rb_tree_black;

          if (__w->_M_left) __w->_M_left->_M_color = _S_rb_tree_black;

          _Rotate_right(__x_parent, __root);

          break;

        }

      }

    if (__x) __x->_M_color = _S_rb_tree_black;

  }

  return __y;

}

template <class _Dummy> _Rb_tree_node_base* _STLP_CALL

_Rb_global<_Dummy>::_M_decrement(_Rb_tree_node_base* _M_node)

{

  if (_M_node->_M_color == _S_rb_tree_red && _M_node->_M_parent->_M_parent == _M_node)

    _M_node = _M_node->_M_right;

  else if (_M_node->_M_left != 0) {

    _Base_ptr __y = _M_node->_M_left;

    while (__y->_M_right != 0)

      __y = __y->_M_right;

    _M_node = __y;

  }

  else {

    _Base_ptr __y = _M_node->_M_parent;

    while (_M_node == __y->_M_left) {

      _M_node = __y;

      __y = __y->_M_parent;

    }

    _M_node = __y;

  }

  return _M_node;

}

template <class _Dummy> _Rb_tree_node_base* _STLP_CALL

_Rb_global<_Dummy>::_M_increment(_Rb_tree_node_base* _M_node)

{

  if (_M_node->_M_right != 0) {

    _M_node = _M_node->_M_right;

    while (_M_node->_M_left != 0)

      _M_node = _M_node->_M_left;

  }

  else {

    _Base_ptr __y = _M_node->_M_parent;

    while (_M_node == __y->_M_right) {

      _M_node = __y;

      __y = __y->_M_parent;

    }

    if (_M_node->_M_right != __y)

      _M_node = __y;

  }

  return _M_node;

}

#endif /* defined (__BUILDING_STLPORT) || ! defined (_STLP_OWN_IOSTREAMS) */

template <class _Key, class _Value, class _KeyOfValue, 

          class _Compare, class _Alloc> _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc> ::operator=(const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __x)

{

  if (this != &__x) {

                                // Note that _Key may be a constant type.

    clear();

    _M_node_count = 0;

    _M_key_compare = __x._M_key_compare;        

    if (__x._M_root() == 0) {

      _M_root() = 0;

      _M_leftmost() = this->_M_header._M_data;

      _M_rightmost() = this->_M_header._M_data;

    }

    else {

      _M_root() = _M_copy(__x._M_root(), this->_M_header._M_data);

      _M_leftmost() = _S_minimum(_M_root());

      _M_rightmost() = _S_maximum(_M_root());

      _M_node_count = __x._M_node_count;

    }

  }

  return *this;

}

// CRP 7/10/00 inserted argument __w_, which is another hint (meant to

// act like __x_ and ignore a portion of the if conditions -- specify

// __w_ != 0 to bypass comparison as false or __x_ != 0 to bypass

// comparison as true)

template <class _Key, class _Value, class _KeyOfValue, 

          class _Compare, class _Alloc> __iterator__ 

_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc> ::_M_insert(_Rb_tree_node_base* __x_, _Rb_tree_node_base* __y_, const _Value& __v,

  _Rb_tree_node_base* __w_)

{

  _Link_type __w = (_Link_type) __w_;

  _Link_type __x = (_Link_type) __x_;

  _Link_type __y = (_Link_type) __y_;

  _Link_type __z;

  if ( __y == this->_M_header._M_data ||

       ( __w == 0 && // If w != 0, the remainder fails to false

         ( __x != 0 ||     // If x != 0, the remainder succeeds to true

           _M_key_compare( _KeyOfValue()(__v), _S_key(__y) ) )

	 )

       ) {

    __z = _M_create_node(__v);

    _S_left(__y) = __z;               // also makes _M_leftmost() = __z 

                                      //    when __y == _M_header

    if (__y == this->_M_header._M_data) {

      _M_root() = __z;

      _M_rightmost() = __z;

    }

    else if (__y == _M_leftmost())

      _M_leftmost() = __z;   // maintain _M_leftmost() pointing to min node

  }

  else {

    __z = _M_create_node(__v);

    _S_right(__y) = __z;

    if (__y == _M_rightmost())

      _M_rightmost() = __z;  // maintain _M_rightmost() pointing to max node

  }

  _S_parent(__z) = __y;

  _S_left(__z) = 0;

  _S_right(__z) = 0;

  _Rb_global_inst::_Rebalance(__z, this->_M_header._M_data->_M_parent);

  ++_M_node_count;

  return iterator(__z);

}

template <class _Key, class _Value, class _KeyOfValue, 

          class _Compare, class _Alloc> __iterator__

_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc> ::insert_equal(const _Value& __v)

{

  _Link_type __y = this->_M_header._M_data;

  _Link_type __x = _M_root();

  while (__x != 0) {

    __y = __x;

    __x = _M_key_compare(_KeyOfValue()(__v), _S_key(__x)) ? 

            _S_left(__x) : _S_right(__x);

  }

  return _M_insert(__x, __y, __v);

}

template <class _Key, class _Value, class _KeyOfValue, 

          class _Compare, class _Alloc> pair< _Rb_tree_iterator<_Value, _Nonconst_traits<_Value> >, bool> _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc> ::insert_unique(const _Value& __v)

{

  _Link_type __y = this->_M_header._M_data;

  _Link_type __x = _M_root();

  bool __comp = true;

  while (__x != 0) {

    __y = __x;

    __comp = _M_key_compare(_KeyOfValue()(__v), _S_key(__x));

    __x = __comp ? _S_left(__x) : _S_right(__x);

  }

  iterator __j = iterator(__y);   

  if (__comp)

    if (__j == begin())     

      return pair<iterator,bool>(_M_insert(/* __x*/ __y, __y, __v), true);

    else

      --__j;

  if (_M_key_compare(_S_key(__j._M_node), _KeyOfValue()(__v)))

    return pair<iterator,bool>(_M_insert(__x, __y, __v), true);

  return pair<iterator,bool>(__j, false);

}

// Modifications CRP 7/10/00 as noted to improve conformance and

// efficiency.

template <class _Key, class _Value, class _KeyOfValue, 

          class _Compare, class _Alloc> __iterator__ 

_Rb_tree<_Key, _Value, _KeyOfValue, _Compare, _Alloc> ::insert_unique(iterator __position, const _Value& __v)

{

  if (__position._M_node == this->_M_header._M_data->_M_left) { // begin()

    // if the container is empty, fall back on insert_unique.

    if (size() <= 0)

      return insert_unique(__v).first;

    if ( _M_key_compare(_KeyOfValue()(__v), _S_key(__position._M_node)))

      return _M_insert(__position._M_node, __position._M_node, __v);

    // first argument just needs to be non-null 

    else

      {

	bool __comp_pos_v = _M_key_compare( _S_key(__position._M_node), _KeyOfValue()(__v) );

	if (__comp_pos_v == false)  // compare > and compare < both false so compare equal

	  return __position;

	//Below __comp_pos_v == true

	// Standard-conformance - does the insertion point fall immediately AFTER

	// the hint?

	iterator __after = __position;

	++__after;

	// Check for only one member -- in that case, __position points to itself,

	// and attempting to increment will cause an infinite loop.

	if (__after._M_node == this->_M_header._M_data)

	  // Check guarantees exactly one member, so comparison was already

	  // performed and we know the result; skip repeating it in _M_insert

	  // by specifying a non-zero fourth argument.

	  return _M_insert(0, __position._M_node, __v, __position._M_node);

	// All other cases:

	// Optimization to catch insert-equivalent -- save comparison results,

	// and we get this for free.

	if(_M_key_compare( _KeyOfValue()(__v), _S_key(__after._M_node) )) {

	  if (_S_right(__position._M_node) == 0)

	    return _M_insert(0, __position._M_node, __v, __position._M_node);

	  else

	    return _M_insert(__after._M_node, __after._M_node, __v);

	} else {

	    return insert_unique(__v).first;

	}

      }

  } else if (__position._M_node == this->_M_header._M_data) { // end()

    if (_M_key_compare(_S_key(_M_rightmost()), _KeyOfValue()(__v)))

      // pass along to _M_insert that it can skip comparing

      // v, Key ; since compare Key, v was true, compare v, Key must be false.

      return _M_insert(0, _M_rightmost(), __v, __position._M_node); // Last argument only needs to be non-null

    else

      return insert_unique(__v).first;

  } else {

    iterator __before = __position;

    --__before;

    bool __comp_v_pos = _M_key_compare(_KeyOfValue()(__v), _S_key(__position._M_node));

    if (__comp_v_pos

      && _M_key_compare( _S_key(__before._M_node), _KeyOfValue()(__v) )) {

      if (_S_right(__before._M_node) == 0)

        return _M_insert(0, __before._M_node, __v, __before._M_node); // Last argument only needs to be non-null

      else

        return _M_insert(__position._M_node, __position._M_node, __v);

    // first argument just needs to be non-null 

    } else

      {

	// Does the insertion point fall immediately AFTER the hint?

	iterator __after = __position;

	++__after;

	// Optimization to catch equivalent cases and avoid unnecessary comparisons

	bool __comp_pos_v = !__comp_v_pos;  // Stored this result earlier

	// If the earlier comparison was true, this comparison doesn't need to be

	// performed because it must be false.  However, if the earlier comparison

	// was false, we need to perform this one because in the equal case, both will

	// be false.

	if (!__comp_v_pos) __comp_pos_v = _M_key_compare(_S_key(__position._M_node), _KeyOfValue()(__v));

	if ( (!__comp_v_pos) // comp_v_pos true implies comp_v_pos false

	     && __comp_pos_v

	     && (__after._M_node == this->_M_header._M_data ||

	        _M_key_compare( _KeyOfValue()(__v), _S_key(__after._M_node) ))) {

	  if (_S_right(__position._M_node) == 0)

	    return _M_insert(0, __position._M_node, __v, __position._M_node);

	  else

	    return _M_insert(__after._M_node, __after._M_node, __v);

	} else {

	  // Test for equivalent case

	  if (__comp_v_pos == __comp_pos_v)

	    return __position;

	  else

	    return insert_unique(__v).first;

	}

      }

  }

}

template <class _Key, class _Value, class _KeyOfValue, 

          class _Compare, class _Alloc> __iterator__