private void RightRotate(RBNodeIndexAccess x)
{
RBNodeIndexAccess y = x._left;
x._left = y._right;
if (y._right != _null)
{
y._right._parent = x;
}
y._parent = x._parent;
RBNodeIndexAccess xParent = x._parent;
if (xParent == _null)
{
_root = y;
}
else if (x == xParent._right)
{
xParent._right = y;
}
else
{
xParent._left = y;
}
y._right = x;
x._parent = y;
y._size = x._size;
x._size = x._left._size + x._right._size + 1;
}
public void RB_Delete(RBNodeIndexAccess node)
{
if (node == null || _count == 0)
{
return;
}
_count--;
RBNodeIndexAccess z = node;
RBNodeIndexAccess y;
if (z._left == _null || z._right == _null)
{
y = z;
}
else
{
y = GetSuccessor(z);
}
RBNodeIndexAccess parent = y._parent;
RBNodeIndexAccess x;
if (y._left != _null)
{
x = y._left;
}
else
{
x = y._right;
}
x._parent = y._parent;
if (y._parent == _null)
{
_root = x;
}
else if (y == y._parent._left)
{
y._parent._left = x;
}
else
{
y._parent._right = x;
}
if (y != z)
{
z.Key = y.Key;
// copy of additional data
}
if (parent != _null)
{
while (parent != _null)
{
parent._size--;
parent = parent._parent;
}
}
if (y._color == RBColor.Black)
{
RB_Delete_Fixup(x);
}
}
public object OS_Select(int index)
{
if (index < 0 || index > _count)
{
return(null);
}
index++;
RBNodeIndexAccess param = _root;
int r = param._left._size + 1;
while (index != r)
{
if (index < r)
{
param = param._left;
}
else
{
param = param._right;
index = index - r;
}
r = param._left._size + 1;
}
return(param.Key);
}
private void Insert(RBNodeIndexAccess node)
{
RBNodeIndexAccess current = _root;
RBNodeIndexAccess parent = _null;
IComparable insertedKey = (IComparable)node.Key;
while (current != _null)
{
current._size++;
parent = current;
if (insertedKey.CompareTo(current.Key) < 0)
{
current = current._left;
}
else
{
current = current._right;
}
}
node._parent = parent;
if (parent == _null)
{
_root = node;
return;
}
if (insertedKey.CompareTo(parent.Key) < 0)
{
parent._left = node;
}
else
{
parent._right = node;
}
}
public RBNodeIndexAccess GetEqualOrMore(IComparable searchKey, IComparable key2)
{
if (_root == _null)
{
return(null);
}
RBNodeIndexAccess x = _root;
RBNodeIndexAccess next = _null;
//IComparable searchKey = (IComparable)key1;
int iCompare;
while (x != _null)
{
iCompare = searchKey.CompareTo(x.Key);
if (iCompare == 0)
{
return(x);
}
if (iCompare > 0)
{
x = x._right;
}
else
{
next = x;
x = x._left;
}
}
if (next == _null)
{
return(null);
}
return(next);
}
private RBNodeIndexAccess()
{
_size = 0;
_parent = this;
_left = this;
_right = this;
}
internal RBNodeIndexAccess(IComparable key, RBNodeIndexAccess NullNode)
{
_key = key;
_size = 1;
_parent = NullNode;
_left = NullNode;
_right = NullNode;
}
public void RB_Insert(IComparable key)
{
RBNodeIndexAccess node = new RBNodeIndexAccess(key, _null);
Insert(node);
RB_Insert(node);
_count++;
}
public RedBlackTreeWithIndexAccess( )
{
_null = RBNodeIndexAccess.GetNull();
_null.Key = "sentinel";
_null._size = 0;
_null._left = _null;
_null._right = _null;
_null._parent = _null;
_root = _null;
}
private void RB_Insert(RBNodeIndexAccess x)
{
x._color = RBColor.Red;
while (x != _root && x._parent._color == RBColor.Red)
{
RBNodeIndexAccess xParent = x._parent;
RBNodeIndexAccess xParentParent = xParent._parent;
if (xParent == xParentParent._left)
{
RBNodeIndexAccess y = xParentParent._right;
if (/*y != _null && */ y._color == RBColor.Red)
{
xParent._color = RBColor.Black;
y._color = RBColor.Black;
xParentParent._color = RBColor.Red;
x = xParentParent;
}
else if (x == xParent._right)
{
x = xParent;
LeftRotate(x);
}
else
{
xParent._color = RBColor.Black;
xParentParent._color = RBColor.Red;
RightRotate(xParentParent);
}
}
else
{
RBNodeIndexAccess y = xParentParent._left;
if (/*y != _null && */ y._color == RBColor.Red)
{
xParent._color = RBColor.Black;
y._color = RBColor.Black;
xParentParent._color = RBColor.Red;
x = xParentParent;
}
else if (x == xParent._left)
{
x = xParent;
RightRotate(x);
}
else
{
xParent._color = RBColor.Black;
xParentParent._color = RBColor.Red;
LeftRotate(xParentParent);
}
}
}
_root._color = RBColor.Black;
}
private RBNodeIndexAccess GetMinimum(RBNodeIndexAccess x)
{
if (_root == _null)
{
return(null);
}
while (x._left != _null)
{
x = x._left;
}
return(x);
}
private RBNodeIndexAccess GetMaximum(RBNodeIndexAccess x)
{
if (_root == _null)
{
return(null);
}
while (x._right != _null)
{
x = x._right;
}
return(x);
}
public RBNodeIndexAccess GetNext(RBNodeIndexAccess x)
{
RBNodeIndexAccess node = GetSuccessor(x);
if (node != _null)
{
return(node);
}
else
{
return(null);
}
}
public RBNodeIndexAccess GetPrevious(RBNodeIndexAccess x)
{
RBNodeIndexAccess node = GetPredecessor(x);
if (node != _null)
{
return(node);
}
else
{
return(null);
}
}
private void InOrderEnum(INodeFetcherIndexAccess fetcher, RBNodeIndexAccess node)
{
fetcher.NodeFetched(node);
if (node._left != _null)
{
InOrderEnum(fetcher, node._left);
}
if (node._right != _null)
{
InOrderEnum(fetcher, node._right);
}
}
private RBNodeIndexAccess GetSuccessor(RBNodeIndexAccess x)
{
if (x._right != _null)
{
return(GetMinimum(x._right));
}
RBNodeIndexAccess y = x._parent;
while (y != _null && x == y._right)
{
x = y;
y = y._parent;
}
return(y);
}
private RBNodeIndexAccess GetPredecessor(RBNodeIndexAccess x)
{
if (x._left != _null)
{
return(GetMaximum(x._left));
}
RBNodeIndexAccess y = x._parent;
while (y != _null && x == y._left)
{
x = y;
y = y._parent;
}
return(y);
}
public bool SearchOrInsert(IComparable insertedKey, out RBNodeIndexAccess foundOrNew)
{
RBNodeIndexAccess current = _root;
RBNodeIndexAccess parent = _null;
while (current != _null)
{
parent = current;
int iCompare = insertedKey.CompareTo(current.Key);
if (iCompare < 0)
{
current = current._left;
}
else if (iCompare > 0)
{
current = current._right;
}
else if (iCompare == 0)
{
foundOrNew = current;
return(true);
}
}
_count++;
foundOrNew = new RBNodeIndexAccess(insertedKey, _null);
foundOrNew._parent = parent;
if (parent == _null)
{
_root = foundOrNew;
RB_Insert(foundOrNew);
return(false);
}
if (insertedKey.CompareTo(parent.Key) < 0)
{
parent._left = foundOrNew;
}
else
{
parent._right = foundOrNew;
}
while (parent != _null)
{
parent._size++;
parent = parent._parent;
}
RB_Insert(foundOrNew);
return(false);
}
public RBNodeIndexAccess Search(IComparable searchKey)
{
RBNodeIndexAccess x = _root;
int iCompare;
while (x != _null)
{
iCompare = searchKey.CompareTo(x.Key);
if (iCompare == 0)
{
return(x);
}
x = (iCompare < 0) ? x._left : x._right;
}
return(null);
}
private int SearchIndex(IComparable searchKey, out RBNodeIndexAccess found)
{
RBNodeIndexAccess x = _root;
RBNodeIndexAccess prev = _null;
RBNodeIndexAccess next = _null;
int iCompare = searchKey.CompareTo(x.Key);
bool bSearch = (x != _null && iCompare != 0);
while (bSearch)
{
if (iCompare < 0)
{
if (x._left == _null)
{
prev = x;
}
x = x._left;
}
else
{
if (x._right == _null)
{
next = x;
}
x = x._right;
}
if (x != _null)
{
iCompare = searchKey.CompareTo(x.Key);
}
bSearch = (x != _null && iCompare != 0);
}
if (x == _null)
{
if (prev == _null)
{
found = next;
return(1);
}
found = prev;
return(-1);
}
found = x;
return(0);
}
public int OS_Rank(RBNodeIndexAccess node)
{
if (node == null || node._left == null)
{
return(-1);
}
int r = node._left._size + 1;
RBNodeIndexAccess y = node;
while (y != _root)
{
if (y == y._parent._right)
{
r = r + y._parent._left._size + 1;
}
y = y._parent;
}
return(r - 1);
}
private void InorderPrint(RBNodeIndexAccess node)
{
/*
* if ( node != _null )
* {
* if ( node.Key.Equals( _root.Key ) )
* {
* Trace.WriteLine("___ root ___");
* Console.WriteLine("___ root ___");
* }
* node.Print();
* if ( node.Key.Equals( _root.Key ) )
* {
* Trace.WriteLine("___ root ___");
* Console.WriteLine("___ root ___");
* }
*
* if ( node._left != _null )
* {
* Trace.Indent();
* Trace.WriteLine("go left ___ begin");
* Console.WriteLine("go left ___ begin");
* InorderPrint( node._left );
* Trace.WriteLine("go left ___ end");
* Console.WriteLine("go left ___ end");
* Trace.Unindent();
* }
* if ( node._right != _null )
* {
* Trace.Indent();
* Trace.WriteLine("go right ___ begin");
* Console.WriteLine("go right ___ begin");
* InorderPrint( node._right );
* Trace.WriteLine("go right ___ end");
* Console.WriteLine("go right ___ end");
* Trace.Unindent();
* }
* }
*/
}
public int OS_Rank(IComparable k)
{
RBNodeIndexAccess x = Search(k);
return(OS_Rank(x));
}
internal RBRange(RedBlackTreeWithIndexAccess tree, IComparable key1, IComparable key2)
{
RBNodeIndexAccess node1 = tree.Search(key1);
int index1 = tree.OS_Rank(node1);
}
private void RB_Delete_Fixup(RBNodeIndexAccess x)
{
while (x != _root && x._color == RBColor.Black)
{
RBNodeIndexAccess w;
if (x == x._parent._left)
{
w = x._parent._right;
if (w._color == RBColor.Red)
{
w._color = RBColor.Black;
x._parent._color = RBColor.Red;
LeftRotate(x._parent);
w = x._parent._right;
}
if (w._left._color == RBColor.Black && w._right._color == RBColor.Black)
{
w._color = RBColor.Red;
x = x._parent;
}
else if (w._right._color == RBColor.Black)
{
w._left._color = RBColor.Black;
w._color = RBColor.Red;
RightRotate(w);
w = x._parent._right;
}
else
{
w._color = x._parent._color;
x._parent._color = RBColor.Black;
w._right._color = RBColor.Black;
LeftRotate(x._parent);
x = _root;
}
}
else
{
w = x._parent._left;
if (w._color == RBColor.Red)
{
w._color = RBColor.Black;
x._parent._color = RBColor.Red;
RightRotate(x._parent);
w = x._parent._left;
}
if (w._right._color == RBColor.Black && w._left._color == RBColor.Black)
{
w._color = RBColor.Red;
x = x._parent;
}
else if (w._left._color == RBColor.Black)
{
w._right._color = RBColor.Black;
w._color = RBColor.Red;
LeftRotate(w);
w = x._parent._left;
}
else
{
w._color = x._parent._color;
x._parent._color = RBColor.Black;
w._left._color = RBColor.Black;
RightRotate(x._parent);
x = _root;
}
}
}
x._color = RBColor.Black;
}