AVL tree/Managed C++

From Rosetta Code

Code[edit]

 
// AVL in Managed C++
 
using namespace System;
using namespace System::Collections;
using namespace System::Collections::Generic;
using namespace System::Threading;
using namespace System::Runtime::Serialization;
 
namespace Calculus
{
 
public enum class State
{
Header,
LeftHigh,
Balanced,
RightHigh
};
 
public enum class Direction { FromLeft, FromRight };
 
public ref struct Node
{
Node^ Left;
Node^ Right;
Node^ Parent;
State Balance;
 
Node()
{
Left = this;
Right = this;
Parent = nullptr;
Balance = State::Header;
}
 
Node(Node^ p)
{
Left = nullptr;
Right = nullptr;
Parent = p;
Balance = State::Balanced;
}
 
property Boolean IsHeader
{ Boolean get() { return Balance == State::Header; } }
};
 
generic <typename T>
public delegate void TypeFound(Object^ O, T type);
 
generic <typename T>
public delegate void TypeAdded(Object^ O, T type);
 
generic <typename T>
public delegate void TypeRemoved(Object^ O, T type);
 
generic <typename T>
public delegate void TypeUpdated(Object^ O, T before, T after);
 
generic<typename T>
public interface struct IHasher
{
int GetHashCode(T t);
};
 
generic<typename T>
[Serializable]
public ref class Hasher abstract : IHasher<T>
{
public:
 
static property Hasher<T>^ Default { Hasher<T>^ get(); }
 
virtual int GetHashCode(T t) = 0;
};
 
generic<typename T>
[Serializable]
public ref class DefaultHasher : Hasher<T>
{
public:
 
virtual int GetHashCode(T t) override
{
return t->GetHashCode();
}
};
 
generic<typename T>
Hasher<T>^ Hasher<T>::Default::get() { return gcnew DefaultHasher<T>(); }
 
 
generic<typename T>
public interface struct ICloneable
{
T Clone();
};
 
generic<typename T>
public interface class ICloner { T Clone(T t); };
 
generic<typename T>
[Serializable]
public ref struct Cloner abstract : ICloner<T>
{
static property Cloner<T>^ Default { Cloner<T>^ get(); }
 
static property Cloner<T>^ Invisible { Cloner<T>^ get(); }
 
virtual T Clone(T t) = 0;
};
 
generic<typename T>
[Serializable]
public ref struct DefaultCloner1 : Cloner<T>
{
virtual T Clone(T t) override
{
ICloneable<T>^ copier = (ICloneable<T>^)t;
return copier->Clone();
}
};
 
generic<typename T>
[Serializable]
public ref struct DefaultCloner2 : Cloner<T>
{
virtual T Clone(T t) override
{
ICloneable<T>^ copier = (ICloneable<T>^)t;
return (T)copier->Clone();
}
};
 
generic<typename T>
[Serializable]
public ref struct DefaultNoCloner : Cloner<T>
{
virtual T Clone(T t) override
{
return t;
}
};
 
generic<typename T>
Cloner<T>^ Cloner<T>::Default::get()
{
Type^ TypeT = T::typeid;
Type^ TypeIC1 = ICloneable<T>::typeid;
Type^ TypeIC2 = ICloneable::typeid;
if (TypeIC1->IsAssignableFrom(TypeT))
return gcnew DefaultCloner1<T>();
else if (TypeIC2->IsAssignableFrom(TypeT))
return gcnew DefaultCloner2<T>();
else
return gcnew DefaultNoCloner<T>();
}
 
generic<typename T>
Cloner<T>^ Cloner<T>::Invisible::get() { return gcnew DefaultNoCloner<T>(); }
 
public ref struct OutOfKeyOrderException : public Exception
{
static String^ message = gcnew String("A tree was found to be out of key order.");
 
OutOfKeyOrderException() : Exception(message)
{
HelpLink = gcnew String("[email protected]");
Source = gcnew String("Calculus Subsystem");
}
};
 
public ref struct TreeInvalidParentException : public Exception
{
static String^ message = gcnew String("The validation routines detected that the parent structure of a tree is invalid.");
 
TreeInvalidParentException() : Exception(message)
{
HelpLink = gcnew String("[email protected]");
Source = gcnew String("Calculus Subsystem");
}
};
 
public ref struct TreeOutOfBalanceException : public Exception
{
static String^ message = gcnew String("The validation routines detected that the tree is out of balance.");
 
TreeOutOfBalanceException() : Exception(message)
{
HelpLink = gcnew String("[email protected]");
Source = gcnew String("Calculus Subsystem");
}
};
 
public ref struct InvalidEmptyTreeException : public Exception
{
static String^ message = gcnew String("The validation routines detected that an empty tree is invalid.");
 
InvalidEmptyTreeException() : Exception(message)
{
HelpLink = gcnew String("[email protected]");
Source = gcnew String("Calculus Subsystem");
}
};
 
 
public ref struct InvalidEndItemException : public Exception
{
static String^ message = gcnew String("The validation routines detected that the end item of a tree is invalid.");
 
InvalidEndItemException() : Exception(message)
{
HelpLink = gcnew String("[email protected]");
Source = gcnew String("Calculus Subsystem");
}
};
 
public ref struct EntryAlreadyExistsException : public Exception
{
static String^ message = gcnew String("An entry already exists in the collection.");
 
EntryAlreadyExistsException() : Exception(message)
{
HelpLink = gcnew String("[email protected]");
Source = gcnew String("Calculus Subsystem");
}
};
 
public ref struct DifferentKeysException : public Exception
{
static String^ message = gcnew String("The specified items have different keys.");
 
DifferentKeysException() : Exception(message)
{
HelpLink = gcnew String("[email protected]");
Source = gcnew String("Calculus Subsystem");
}
};
 
public ref struct AddSubTreeFailedException : public Exception
{
static String^ message = gcnew String("Subtree creation failed.");
 
AddSubTreeFailedException() : Exception(message)
{
HelpLink = gcnew String("[email protected]");
Source = gcnew String("Calculus Subsystem");
}
};
 
public ref struct IsEndItemException : public Exception
{
static String^ message = gcnew String("The requested action cannot be performed on an end item.");
 
IsEndItemException() : Exception(message)
{
HelpLink = gcnew String("[email protected]");
Source = gcnew String("Calculus Subsystem");
}
};
 
public ref struct EntryNotFoundException : public Exception
{
static String^ message = gcnew String("The requested entry could not be located in the specified collection.");
 
EntryNotFoundException() : Exception(message)
{
HelpLink = gcnew String("[email protected]");
Source = gcnew String("Calculus Subsystem");
}
};
 
public ref struct InvalidSetOperationException : public Exception
{
static String^ message = gcnew String("An invalid set operation was specified.");
 
InvalidSetOperationException() : Exception(message)
{
HelpLink = gcnew String("[email protected]");
Source = gcnew String("Calculus Subsystem");
}
};
 
Node^ PreviousItem(Node^ node)
{
if (node->IsHeader) {return node->Right;}
 
else if (node->Left != nullptr)
{
Node^ y = node->Left;
while (y->Right != nullptr) y = y->Right;
node = y;
}
else
{
Node^ y = node->Parent;
if (y->IsHeader) return y;
while (node == y->Left) {node = y; y = y->Parent;}
node = y;
}
return node;
}
 
Node^ NextItem(Node^ node)
{
if (node->IsHeader) return node->Left;
 
if (node->Right != nullptr)
{
node = node->Right;
while (node->Left != nullptr) node = node->Left;
}
else
{
Node^ y = node->Parent;
if (y->IsHeader) return y;
while (node == y->Right) {node = y; y = y->Parent;}
node = y;
}
return node;
}
 
void SwapNodeReference(Node^% first, Node^% second)
{Node^ temporary = first; first = second; second = temporary;}
 
void LeftNodeSwap(Node^ Root, Node^ Replace)
{
if (Replace->Left) Replace->Left->Parent = Root;
if (Replace->Right) Replace->Right->Parent = Root;
 
if (Root->Right) Root->Right->Parent = Replace;
 
if (Replace == Root->Left)
{
Replace->Parent = Root->Parent;
Root->Parent = Replace;
 
Root->Left = Replace->Left;
Replace->Left = Root;
}
else
{
Root->Left->Parent = Replace;
 
if (Replace->Parent->Left == Replace)
Replace->Parent->Left = Root;
else
Replace->Parent->Right = Root;
 
SwapNodeReference(Root->Left,Replace->Left);
SwapNodeReference(Root->Parent,Replace->Parent);
}
 
SwapNodeReference(Root->Right,Replace->Right);
 
State Balance = Root->Balance;
Root->Balance = Replace->Balance;
Replace->Balance=Balance;
}
 
void SwapNodes(Node^ A, Node^ B)
{
if (B == A->Left)
{
if (B->Left) B->Left->Parent = A;
if (B->Right) B->Right->Parent = A;
 
if (A->Right) A->Right->Parent = B;
 
if (!A->Parent->IsHeader)
{
if (A->Parent->Left == A)
A->Parent->Left = B;
else
A->Parent->Right = B;
}
else A->Parent->Parent = B;
 
B->Parent = A->Parent;
A->Parent = B;
 
A->Left = B->Left;
B->Left = A;
 
SwapNodeReference(A->Right,B->Right);
}
else if (B == A->Right)
{
if (B->Right) B->Right->Parent = A;
if (B->Left) B->Left->Parent = A;
 
if (A->Left) A->Left->Parent = B;
 
if (!A->Parent->IsHeader)
{
if (A->Parent->Left == A)
A->Parent->Left = B;
else
A->Parent->Right = B;
}
else A->Parent->Parent = B;
 
B->Parent = A->Parent;
A->Parent = B;
 
A->Right = B->Right;
B->Right = A;
 
SwapNodeReference(A->Left,B->Left);
}
else if (A == B->Left)
{
if (A->Left) A->Left->Parent = B;
if (A->Right) A->Right->Parent = B;
 
if (B->Right) B->Right->Parent = A;
 
if (!B->Parent->IsHeader)
{
if (B->Parent->Left == B)
B->Parent->Left = A;
else
B->Parent->Right = A;
}
else B->Parent->Parent = A;
 
A->Parent = B->Parent;
B->Parent = A;
 
B->Left = A->Left;
A->Left = B;
 
SwapNodeReference(A->Right,B->Right);
}
else if (A == B->Right)
{
if (A->Right) A->Right->Parent = B;
if (A->Left) A->Left->Parent = B;
 
if (B->Left) B->Left->Parent = A;
 
if (!B->Parent->IsHeader)
{
if (B->Parent->Left == B)
B->Parent->Left = A;
else
B->Parent->Right = A;
}
else B->Parent->Parent = A;
 
A->Parent = B->Parent;
B->Parent = A;
 
B->Right = A->Right;
A->Right = B;
 
SwapNodeReference(A->Left,B->Left);
}
else
{
if (A->Parent == B->Parent)
SwapNodeReference(A->Parent->Left,A->Parent->Right);
else
{
if (!A->Parent->IsHeader)
{
if (A->Parent->Left == A)
A->Parent->Left = B;
else
A->Parent->Right = B;
}
else A->Parent->Parent = B;
 
if (!B->Parent->IsHeader)
{
if (B->Parent->Left == B)
B->Parent->Left = A;
else
B->Parent->Right = A;
}
else B->Parent->Parent = A;
}
 
if (B->Left) B->Left->Parent = A;
if (B->Right) B->Right->Parent = A;
 
if (A->Left) A->Left->Parent = B;
if (A->Right) A->Right->Parent = B;
 
SwapNodeReference(A->Left,B->Left);
SwapNodeReference(A->Right,B->Right);
SwapNodeReference(A->Parent,B->Parent);
}
 
State Balance = A->Balance;
A->Balance = B->Balance;
B->Balance=Balance;
}
 
void RotateLeft(Node^% Root)
{
Node^ Parent = Root->Parent;
Node^ x = Root->Right;
 
Root->Parent = x;
x->Parent = Parent;
if (x->Left) x->Left->Parent = Root;
 
Root->Right = x->Left;
x->Left = Root;
Root = x;
}
 
void RotateRight(Node^% Root)
{
Node^ Parent = Root->Parent;
Node^ x = Root->Left;
 
Root->Parent = x;
x->Parent = Parent;
if (x->Right) x->Right->Parent = Root;
 
Root->Left = x->Right;
x->Right = Root;
Root = x;
}
 
void BalanceLeft(Node^% Root)
{
Node^ Left = Root->Left; // Left Subtree of Root Node
 
switch (Left->Balance)
{
case State::LeftHigh:
Root->Balance = State::Balanced;
Left->Balance = State::Balanced;
RotateRight(Root);
break;
 
case State::RightHigh:
{
Node^ subRight = Left->Right; // Right subtree of Left
switch (subRight->Balance)
{
case State::Balanced:
Root->Balance = State::Balanced;
Left->Balance = State::Balanced;
break;
 
case State::RightHigh:
Root->Balance = State::Balanced;
Left->Balance = State::LeftHigh;
break;
 
case State::LeftHigh:
Root->Balance = State::RightHigh;
Left->Balance = State::Balanced;
break;
}
subRight->Balance = State::Balanced;
RotateLeft(Left);
Root->Left = Left;
RotateRight(Root);
}
break;
 
case State::Balanced:
Root->Balance = State::LeftHigh;
Left->Balance = State::RightHigh;
RotateRight(Root);
break;
}
}
 
void BalanceRight(Node^% Root)
{
Node^ Right = Root->Right; // Right Subtree of Root Node
 
switch (Right->Balance)
{
case State::RightHigh:
Root ->Balance = State::Balanced;
Right->Balance = State::Balanced;
RotateLeft(Root);
break;
 
case State::LeftHigh:
{
Node^ subLeft = Right->Left; // Left Subtree of Right
switch (subLeft->Balance)
{
case State::Balanced:
Root ->Balance = State::Balanced;
Right->Balance = State::Balanced;
break;
 
case State::LeftHigh:
Root ->Balance = State::Balanced;
Right->Balance = State::RightHigh;
break;
 
case State::RightHigh:
Root ->Balance = State::LeftHigh;
Right->Balance = State::Balanced;
break;
}
subLeft->Balance = State::Balanced;
RotateRight(Right);
Root->Right = Right;
RotateLeft(Root);
}
break;
 
case State::Balanced:
Root ->Balance = State::RightHigh;
Right->Balance = State::LeftHigh;
RotateLeft(Root);
break;
}
}
 
void BalanceTree(Node^ Root, Direction From)
{
bool Taller = true;
 
while (Taller)
{
Node^ Parent = Root->Parent;
Direction NextFrom = (Parent->Left == Root) ? Direction::FromLeft : Direction::FromRight;
 
if (From == Direction::FromLeft)
{
switch (Root->Balance)
{
case State::LeftHigh:
if (Parent->IsHeader)
BalanceLeft(Parent->Parent);
else if (Parent->Left == Root)
BalanceLeft(Parent->Left);
else
BalanceLeft(Parent->Right);
Taller = false;
break;
 
case State::Balanced:
Root->Balance = State::LeftHigh;
Taller = true;
break;
 
case State::RightHigh:
Root->Balance = State::Balanced;
Taller = false;
break;
}
}
else
{
switch (Root->Balance)
{
case State::LeftHigh:
Root->Balance = State::Balanced;
Taller = false;
break;
 
case State::Balanced:
Root->Balance = State::RightHigh;
Taller = true;
break;
 
case State::RightHigh:
if (Parent->IsHeader)
BalanceRight(Parent->Parent);
else if (Parent->Left == Root)
BalanceRight(Parent->Left);
else
BalanceRight(Parent->Right);
Taller = false;
break;
}
}
 
if (Taller) // skip up a level
{
if (Parent->IsHeader)
Taller = false;
else
{
Root = Parent;
From = NextFrom;
}
}
}
}
 
void BalanceTreeRemove(Node^ Root, Direction From)
{
if (Root->IsHeader) return;
bool Shorter = true;
 
while (Shorter)
{
Node^ Parent = Root->Parent;
Direction NextFrom = (Parent->Left == Root) ? Direction::FromLeft : Direction::FromRight;
 
if (From == Direction::FromLeft)
{
switch (Root->Balance)
{
case State::LeftHigh:
Root->Balance = State::Balanced;
Shorter = true;
break;
 
case State::Balanced:
Root->Balance = State::RightHigh;
Shorter = false;
break;
 
case State::RightHigh:
if (Root->Right->Balance == State::Balanced)
Shorter = false;
else
Shorter = true;
if (Parent->IsHeader)
BalanceRight(Parent->Parent);
else if (Parent->Left == Root)
BalanceRight(Parent->Left);
else
BalanceRight(Parent->Right);
break;
}
}
else
{
switch (Root->Balance)
{
case State::RightHigh:
Root->Balance = State::Balanced;
Shorter = true;
break;
 
case State::Balanced:
Root->Balance = State::LeftHigh;
Shorter = false;
break;
 
case State::LeftHigh:
if (Root->Left->Balance == State::Balanced)
Shorter = false;
else
Shorter = true;
if (Parent->IsHeader)
BalanceLeft(Parent->Parent);
else if (Parent->Left == Root)
BalanceLeft(Parent->Left);
else
BalanceLeft(Parent->Right);
break;
}
}
 
if (Shorter)
{
if (Parent->IsHeader)
Shorter = false;
else
{
From = NextFrom;
Root = Parent;
}
}
}
}
 
Node^ Minimum(Node^ node)
{
while (node->Left) node=node->Left;
return node;
}
 
Node^ Maximum(Node^ node)
{
while (node->Right) node=node->Right;
return node;
}
 
void AdjustAdd(Node^ Root)
{
Node^ Header = Root->Parent;
while (!Header->IsHeader) Header=Header->Parent;
 
if (Root->Parent->Left == Root)
{
BalanceTree(Root->Parent,Direction::FromLeft);
if (Header->Left == Root->Parent) Header->Left = Root;
}
else
{
BalanceTree(Root->Parent,Direction::FromRight);
if (Header->Right == Root->Parent) Header->Right = Root;
}
}
 
void AdjustRemove(Node^ Parent, Direction Direction)
{
BalanceTreeRemove(Parent,Direction);
 
Node^ Header = Parent;
while (!Header->IsHeader) Header=Header->Parent;
 
if (Header->Parent == nullptr)
{
Header->Left = Header;
Header->Right = Header;
}
else
{
Header->Left = Minimum(Header->Parent);
Header->Right = Maximum(Header->Parent);
}
}
 
unsigned long long Depth(Node^ Root)
{
if (Root)
{
unsigned long long Left = Root->Left ? Depth(Root->Left) : 0;
unsigned long long Right = Root->Right ? Depth(Root->Right) : 0;
return Left < Right ? Right+1 : Left+1;
}
else
return 0;
}
 
unsigned long long Count(Node^ Root)
{
if (Root)
{
unsigned long long left = Root->Left ? Count(Root->Left) : 0;
unsigned long long right = Root->Right ? Count(Root->Right) : 0;
return left + right + 1;
}
else
return 0;
}
 
public enum class SetOperation
{
Union,
Intersection,
SymmetricDifference,
Difference,
Equality,
Inequality,
Subset,
Superset
};
 
generic<typename T>
public ref class SetNode : Node
{
public:
 
T Data;
 
SetNode(T dataType, Node^ Parent) : Node(Parent) {Data = dataType; }
};
 
generic<typename T>
public value struct SetEntry : System::Collections::Generic::IEnumerator<T>
{
public:
 
SetEntry(Node^ n) { _Node = n; }
 
property T Value
{
T get()
{
if (_Node->Balance == State::Header) throw gcnew IsEndItemException();
return ((SetNode<T>^)_Node)->Data;
}
void set(T Value)
{
if (_Node->Balance == State::Header) throw gcnew IsEndItemException();
((SetNode<T>^)_Node)->Data = Value;
}
}
 
property Boolean IsHeader { Boolean get() { return _Node->IsHeader; } }
 
virtual Boolean MoveNext()
{
_Node = NextItem(_Node);
return _Node->IsHeader ? false : true;
}
 
Boolean MovePrevious()
{
_Node = PreviousItem(_Node);
return _Node->IsHeader ? false : true;
}
 
static SetEntry<T> operator ++(SetEntry<T> entry)
{
entry._Node = NextItem(entry._Node);
return entry;
}
 
static SetEntry<T> operator --(SetEntry<T> entry)
{
entry._Node = PreviousItem(entry._Node);
return entry;
}
 
static SetEntry<T> operator +(SetEntry<T> C, unsigned long long Increment)
{
SetEntry<T> Result = SetEntry<T>(C._Node);
for (unsigned long long i = 0; i < Increment; i++) ++Result;
return Result;
}
 
static SetEntry<T> operator +(unsigned long long Increment, SetEntry<T> C)
{
SetEntry<T> Result = SetEntry<T>(C._Node);
for (unsigned long long i = 0; i < Increment; i++) ++Result;
return Result;
}
 
static SetEntry<T> operator -(SetEntry<T> C, unsigned long long Decrement)
{
SetEntry<T> Result = SetEntry<T>(C._Node);
for (unsigned long long i = 0; i < Decrement; i++) --Result;
return Result;
}
 
virtual void Reset()
{ while (!_Node->IsHeader) _Node = NextItem(_Node); }
 
virtual property Object^ InterfaceCurrentA
{
Object^ get() = System::Collections::IEnumerator::Current::get
{
if (_Node->Balance == State::Header) throw gcnew IsEndItemException();
return ((SetNode<T>^)_Node)->Data;
}
}
 
virtual property T InterfaceCurrentB
{
T get() = System::Collections::Generic::IEnumerator<T>::Current::get
{
if (_Node->Balance == State::Header) throw gcnew IsEndItemException();
return ((SetNode<T>^)_Node)->Data;
}
}
 
static Boolean operator ==(SetEntry<T> x, SetEntry<T> y) { return x._Node == y._Node; }
static Boolean operator !=(SetEntry<T> x, SetEntry<T> y) { return x._Node != y._Node; }
 
static long long operator -(SetEntry<T> This, SetEntry<T> iter)
{
long long Result = 0;
while (This._Node != iter._Node) { iter.MoveNext(); Result++; }
return Result;
}
 
virtual String^ ToString() override
{
if (_Node->Balance == State::Header) throw gcnew IsEndItemException();
return Value->ToString();
}
 
Node^ _Node;
};
 
 
generic<typename T>
[Serializable]
public ref class Set : public System::Collections::Generic::ICollection<T>,
public System::ICloneable,
public ISerializable,
public IComparable<Set<T>^>,
public IEquatable<Set<T>^>
{
public:
event TypeAdded<T>^ Added;
event TypeRemoved<T>^ Removed;
event TypeUpdated<T>^ Updated;
 
protected:
Node^ Header;
System::Collections::Generic::IComparer<T>^ TComparer;
ICloner<T>^ TCloner;
IHasher<T>^ THasher;
unsigned long long Nodes;
 
property Node^ Root
{
Node^ get() { return Header->Parent; }
void set(Node^ Value) { Header->Parent = Value; }
}
 
//*** Constructors ***
 
public:
 
Set()
{
Nodes=0;
Header = gcnew Node();
TComparer = System::Collections::Generic::Comparer<T>::Default;
TCloner = Calculus::Cloner<T>::Default;
THasher = Calculus::Hasher<T>::Default;
}
 
Set(System::Collections::Generic::IComparer<T>^ TCompare)
{
Nodes=0;
Header = gcnew Node();
TComparer = TCompare;
TCloner = Calculus::Cloner<T>::Default;
THasher = Calculus::Hasher<T>::Default;
}
 
Set(Set<T>^ SetToCopy)
{
Nodes=0;
Header = gcnew Node();
TComparer = SetToCopy->TComparer;
TCloner = SetToCopy->TCloner;
THasher = SetToCopy->THasher;
Copy((SetNode<T>^)SetToCopy->Root);
}
 
Set(System::Collections::Generic::IEnumerable<T>^ Collection)
{
Nodes=0;
Header = gcnew Node();
TComparer = System::Collections::Generic::Comparer<T>::Default;
TCloner = Calculus::Cloner<T>::Default;
THasher = Calculus::Hasher<T>::Default;
 
for each (T t in Collection) Add(TCloner->Clone(t));
}
 
Set(... array<T>^ Collection)
{
Nodes=0;
Header = gcnew Node();
TComparer = System::Collections::Generic::Comparer<T>::Default;
TCloner = Calculus::Cloner<T>::Default;
THasher = Calculus::Hasher<T>::Default;
 
for each (T t in Collection) Add(TCloner->Clone(t));
}
 
Set(System::Collections::Generic::IEnumerable<T>^ Collection,
System::Collections::Generic::IComparer<T>^ TCompare)
{
Nodes=0;
Header = gcnew Node();
TComparer = TCompare;
TCloner = Calculus::Cloner<T>::Default;
THasher = Calculus::Hasher<T>::Default;
 
for each (T t in Collection) Add(TCloner->Clone(t));
}
 
Set(Set<T>^ A,
Set<T>^ B,
SetOperation operation)
{
Nodes=0;
Header = gcnew Node();
TComparer = A->TComparer;
TCloner = A->TCloner;
THasher = A->THasher;
CombineSets(A, B, this, operation);
}
 
Set(SerializationInfo^ si, StreamingContext sc)
{
Nodes=0;
System::Collections::Generic::IComparer<T>^ TCompare = (System::Collections::Generic::IComparer<T>^)si->GetValue("TComparer", System::Collections::Generic::IComparer<T>::typeid);
Calculus::ICloner<T>^ TClone = (Calculus::ICloner<T>^)si->GetValue("TCloner", ICloner<T>::typeid);
Calculus::IHasher<T>^ THasher = (Calculus::IHasher<T>^)si->GetValue("THasher", IHasher<T>::typeid);
 
Header = gcnew Node();
TComparer = TCompare;
TCloner = TClone;
 
Type^ type = T::typeid;
 
unsigned long long LoadCount = si->GetUInt64("Count");
 
for (unsigned long long i = 0; i < LoadCount; i++)
{
Object^ obj = si->GetValue(i.ToString(), type);
Add((T)obj, false);
}
}
 
//*** Operators ***
 
static Set<T>^ operator |(Set<T>^ A, Set<T>^ B)
{
Set<T>^ U = gcnew Set<T>(A->TComparer);
U->TCloner = A->TCloner;
U->THasher = A->THasher;
CombineSets(A, B, U, SetOperation::Union);
return U;
}
 
static Set<T>^ operator &(Set<T>^ A, Set<T>^ B)
{
Set<T>^ I = gcnew Set<T>(A->TComparer);
I->TCloner = A->TCloner;
I->THasher = A->THasher;
CombineSets(A, B, I, SetOperation::Intersection);
return I;
}
 
static Set<T>^ operator ^(Set<T>^ A, Set<T>^ B)
{
Set<T>^ S = gcnew Set<T>(A->TComparer);
S->TCloner = A->TCloner;
S->THasher = A->THasher;
CombineSets(A, B, S, SetOperation::SymmetricDifference);
return S;
}
 
static Set<T>^ operator -(Set<T>^ A, Set<T>^ B)
{
Set<T>^ S = gcnew Set<T>(A->TComparer);
S->TCloner = A->TCloner;
S->THasher = A->THasher;
CombineSets(A, B, S, SetOperation::Difference);
return S;
}
 
static Boolean operator ==(Set<T>^ A, Set<T>^ B)
{
return CheckSets(A, B, SetOperation::Equality);
}
 
static Boolean operator !=(Set<T>^ A, Set<T>^ B)
{
return CheckSets(A, B, SetOperation::Inequality);
}
 
static Boolean operator <(Set<T>^ A, Set<T>^ B)
{
return CheckSets(A, B, SetOperation::Subset);
}
 
static Boolean operator >(Set<T>^ A, Set<T>^ B)
{
return CheckSets(A, B, SetOperation::Superset);
}
 
property Boolean default [T]
{
Boolean get(T key)
{
if (Root == nullptr)
return false;
else
{
Node^ search = Root;
 
do
{
int Result = TComparer->Compare(key, static_cast<SetNode<T>^>(search)->Data);
 
if (Result < 0) search = search->Left;
 
else if (Result > 0) search = search->Right;
 
else break;
 
} while (search != nullptr);
 
return search != nullptr;
}
}
}
 
static Set<T>^ operator +(Set<T>^ set, T t)
{
set->Add(t, false);
return set;
}
 
static Set<T>^ operator -(Set<T>^ set, T t)
{
set->Remove(t);
return set;
}
 
//*** Properties ***
 
property SetEntry<T> Begin
{ SetEntry<T> get() { return SetEntry<T>(Header->Left); } }
 
property ICloner<T>^ TypeCloner
{
ICloner<T>^ get() { return TCloner; }
void set(ICloner<T>^ Value) { TCloner = Value; }
}
property System::Collections::Generic::IComparer<T>^ Comparer
{System::Collections::Generic::IComparer<T>^ get() { return TComparer; } }
 
virtual property int Count { int get() { return (int)Length; } }
 
property SetEntry<T> End
{ SetEntry<T> get() { return SetEntry<T>(Header); } }
 
property T First
{ T get() { return ((SetNode<T>^)LeftMost)->Data; } }
 
property int Hash { int get() { return GetHashCode(); } }
 
property IHasher<T>^ Hasher
{
IHasher<T>^ get() { return THasher; }
void set(IHasher<T>^ Value) { THasher = Value; }
}
 
virtual property Boolean IsReadOnly { Boolean get() { return false; } }
 
virtual property Boolean IsSynchronized { Boolean get() { return true; } }
 
property T Last
{ T get() { return ((SetNode<T>^)RightMost)->Data; } }
 
property Node^ LeftMost
{
Node^ get() { return Header->Left; }
void set(Node^ Value) { Header->Left = Value; }
}
 
property unsigned long long Length { unsigned long long get() { return Count;} }
 
property Node^ RightMost
{
Node^ get() { return Header->Right; }
void set(Node^ Value) { Header->Right = Value; }
}
 
property Object^ SyncRoot { Object^ get() { return this; } }
 
//*** Public Methods ***
 
SetEntry<T> After(T Value, Boolean equals)
{
return SetEntry<T>(equals ? AfterEquals(Value) : After(Value));
}
 
virtual void Add(T t)
{
Add(t, false);
}
 
void Add(SetEntry<T> cse)
{
Add(TCloner->Clone(cse.Value), false);
}
 
unsigned long long Add(System::Collections::Generic::IEnumerable<T>^ copy)
{
unsigned long long count = 0;
 
for each(T t in copy)
{
Add(TCloner->Clone(t), false);
count++;
}
 
return count;
}
 
SetEntry<T> Before(T value, bool equals)
{
return SetEntry<T>(equals ? BeforeEquals(value) : Before(value));
}
 
virtual void Clear() { Remove(); }
 
void CallRemoved(T data) { Removed(this, data); }
 
virtual Object^ Clone()
{
Set<T>^ setOut = gcnew Set<T>(TComparer);
setOut->TCloner = TCloner;
setOut->THasher = THasher;
setOut->Copy((SetNode<T>^)Root);
return setOut;
}
 
virtual int CompareTo(Set<T>^ B)
{
return CompareSets(this, B);
}
 
virtual bool Contains(T t)
{
Node^ found = Search(t);
return found != nullptr ? true : false;
}
 
virtual Boolean Contains(Set<T>^ ss)
{
for each (T t in ss)
if (Search(t) == nullptr) return false;
 
return true;
}
 
virtual void CopyTo(array<T>^ arr, int i)
{
SetEntry<T> begin = SetEntry<T>((SetNode<T>^)Header->Left);
SetEntry<T> end = SetEntry<T>(Header);
 
while (begin != end)
{
arr->SetValue(TCloner->Clone(((SetNode<T>^)begin._Node)->Data), i);
i++; begin.MoveNext();
}
}
 
virtual void CopyTo(System::Array^ arr, int i)
{
SetEntry<T> begin = SetEntry<T>((SetNode<T>^)Header->Left);
SetEntry<T> end = SetEntry<T>(Header);
 
while (begin != end)
{
arr->SetValue(TCloner->Clone(((SetNode<T>^)begin._Node)->Data), i);
i++; begin.MoveNext();
}
}
 
virtual Boolean Equals(Set<T>^ compare)
{
SetEntry<T> first1 = Begin;
SetEntry<T> last1 = End;
SetEntry<T> first2 = compare->Begin;
SetEntry<T> last2 = compare->End;
 
Boolean equals = true;
 
while (first1 != last1 && first2 != last2)
{
if (TComparer->Compare(first1.Value, first2.Value) == 0)
{ first1.MoveNext(); first2.MoveNext(); }
else
{ equals = false; break; }
}
 
if (equals)
{
if (first1 != last1) equals = false;
if (first2 != last2) equals = false;
}
 
return equals;
}
 
T Find(T value)
{
Node^ _Node = Search(value);
if (_Node == nullptr)
throw gcnew EntryNotFoundException();
return ((SetNode<T>^)_Node)->Data;
}
 
virtual System::Collections::IEnumerator^ InterfaceGetEnumeratorSimple() sealed = System::Collections::IEnumerable::GetEnumerator
{ return gcnew SetEntry<T>(Header); }
 
virtual System::Collections::Generic::IEnumerator<T>^ InterfaceGetEnumerator() sealed = System::Collections::Generic::IEnumerable<T>::GetEnumerator
{ return gcnew SetEntry<T>(Header); }
 
virtual Int32 GetHashCode() override
{
Int32 HashCode = 0;
for each (T t in this) HashCode += THasher->GetHashCode(t);
return HashCode;
}
 
virtual void GetObjectData(SerializationInfo^ si, StreamingContext sc)
{
si->SetType(Calculus::Set<T>::typeid);
 
Type^ type = T::typeid;
 
unsigned long long index = 0;
for each (T e in *this)
{
si->AddValue(index.ToString(), e, type);
index++;
}
 
si->AddValue("Count", index);
si->AddValue("TComparer", TComparer, TComparer->GetType());
si->AddValue("TCloner", TCloner, TCloner->GetType());
si->AddValue("THasher", THasher, THasher->GetType());
}
 
SetEntry<T> Insert(T t) { return SetEntry<T>(Add(t, false)); }
 
SetEntry<T> Locate(T value)
{
Node^ _Node = Search(value);
if (_Node == nullptr)
throw gcnew EntryNotFoundException();
return SetEntry<T>(_Node);
}
 
void Notify()
{
Notify((SetNode<T>^)Root);
}
 
unsigned long long Remove()
{
for each (T t in this) Removed(this, t);
unsigned long long count = Nodes;
Root = nullptr;
LeftMost = Header;
RightMost = Header;
Nodes = 0;
return count;
}
 
virtual bool Remove(T data)
{
Node^ root = Root;
 
for (; ; )
{
if (root == nullptr) throw gcnew EntryNotFoundException();
 
int compare = TComparer->Compare(data, ((SetNode<T>^)root)->Data);
 
if (compare < 0)
root = root->Left;
 
else if (compare > 0)
root = root->Right;
 
else // Item is found
{
if (root->Left != nullptr && root->Right != nullptr)
{
Node^ replace = root->Left;
while (replace->Right != nullptr) replace = replace->Right;
SwapNodes(root, replace);
}
 
Node^ Parent = root->Parent;
 
Direction From = (Parent->Left == root) ? Direction::FromLeft : Direction::FromRight;
 
if (LeftMost == root)
{
Node^ n = NextItem(root);
 
if (n->IsHeader)
{ LeftMost = Header; RightMost = Header; }
else
LeftMost = n;
}
else if (RightMost == root)
{
Node^ p = PreviousItem(root);
 
if (p->IsHeader)
{ LeftMost = Header; RightMost = Header; }
else
RightMost = p;
}
 
if (root->Left == nullptr)
{
if (Parent == Header)
Header->Parent = root->Right;
else if (Parent->Left == root)
Parent->Left = root->Right;
else
Parent->Right = root->Right;
 
if (root->Right != nullptr) root->Right->Parent = Parent;
}
else
{
if (Parent == Header)
Header->Parent = root->Left;
else if (Parent->Left == root)
Parent->Left = root->Left;
else
Parent->Right = root->Left;
 
if (root->Left != nullptr) root->Left->Parent = Parent;
}
 
AdjustRemove(Parent, From);
Nodes--;
Removed(this, ((SetNode<T>^)root)->Data);
break;
}
}
return true;
}
 
void Remove(SetEntry<T> i) { Remove(i._Node); }
 
Node^ Search(T data)
{
if (Root == nullptr)
return nullptr;
else
{
Node^ search = Root;
 
do
{
int Result = TComparer->Compare(data, ((SetNode<T>^)search)->Data);
 
if (Result < 0) search = search->Left;
 
else if (Result > 0) search = search->Right;
 
else break;
 
} while (search != nullptr);
 
return search;
}
}
 
virtual String^ ToString() override
{
String^ StringOut = gcnew String("{");
 
SetEntry<T> start = Begin;
SetEntry<T> end = End;
SetEntry<T> last = End - 1;
 
while (start != end)
{
String^ NewStringOut = start.Value->ToString();
if (start != last) NewStringOut = NewStringOut + gcnew String(",");
StringOut = StringOut + NewStringOut;
++start;
}
 
StringOut = StringOut + gcnew String("}");
return StringOut;
}
 
void Update(T value)
{
if (Root == nullptr)
throw gcnew EntryNotFoundException();
else
{
Node^ search = Root;
 
do
{
int Result = TComparer->Compare(value, ((SetNode<T>^)search)->Data);
 
if (Result < 0) search = search->Left;
 
else if (Result > 0) search = search->Right;
 
else break;
 
} while (search != nullptr);
 
if (search == nullptr) throw gcnew EntryNotFoundException();
 
T saved = ((SetNode<T>^)search)->Data;
((SetNode<T>^)search)->Data = value;
Updated(this, saved, value);
}
}
 
void Update(SetEntry<T>^ entry, T after) { Update((SetNode<T>^)entry->_Node, after); }
 
void Validate()
{
if (Nodes == 0 || Root == nullptr)
{
if (Nodes != 0) { throw gcnew InvalidEmptyTreeException(); }
if (Root != nullptr) { throw gcnew InvalidEmptyTreeException(); }
if (LeftMost != Header) { throw gcnew InvalidEndItemException(); }
if (RightMost != Header) { throw gcnew InvalidEndItemException(); }
}
 
Validate((SetNode<T>^)Root);
 
if (Root != nullptr)
{
Node^ x = Root;
while (x->Left != nullptr) x = x->Left;
 
if (LeftMost != x) throw gcnew InvalidEndItemException();
 
Node^ y = Root;
while (y->Right != nullptr) y = y->Right;
 
if (RightMost != y) throw gcnew InvalidEndItemException();
}
}
 
//*** Private Methods ***
 
protected:
 
Node^ After(T data)
{
Node^ y = Header;
Node^ x = Root;
 
while (x != nullptr)
if (TComparer->Compare(data, ((SetNode<T>^)x)->Data) < 0)
{ y = x; x = x->Left; }
else
x = x->Right;
 
return y;
}
 
Node^ AfterEquals(T data)
{
Node^ y = Header;
Node^ x = Root;
 
while (x != nullptr)
{
int c = TComparer->Compare(data, ((SetNode<T>^)x)->Data);
if (c == 0)
{ y = x; break; }
else if (c < 0)
{ y = x; x = x->Left; }
else
x = x->Right;
}
 
return y;
}
 
SetNode<T>^ Add(T data, bool exist)
{
Node^ root = Root;
 
if (root == nullptr)
{
Root = gcnew SetNode<T>(data, Header);
Nodes++;
LeftMost = Root;
RightMost = Root;
Added(this, ((SetNode<T>^)Root)->Data);
return (SetNode<T>^)Root;
}
else
{
for (; ; )
{
int compare = TComparer->Compare(data, static_cast<SetNode<T>^>(root)->Data);
 
if (compare == 0) // Item Exists
{
if (exist)
{
T saved = ((SetNode<T>^)root)->Data;
((SetNode<T>^)root)->Data = data;
Updated(this, saved, data);
return (SetNode<T>^)root;
}
else
throw gcnew EntryAlreadyExistsException();
}
 
else if (compare < 0)
{
if (root->Left != nullptr)
root = root->Left;
else
{
SetNode<T>^ NewNode = gcnew SetNode<T>(data, root);
Nodes++;
root->Left = NewNode;
AdjustAdd(NewNode);
Added(this, NewNode->Data);
return NewNode;
}
}
 
else
{
if (root->Right != nullptr)
root = root->Right;
else
{
SetNode<T>^ NewNode = gcnew SetNode<T>(data, root);
Nodes++;
root->Right = NewNode;
AdjustAdd(NewNode);
Added(this, NewNode->Data);
return NewNode;
}
}
}
}
}
 
unsigned long long Add(Node^ begin, Node^ end)
{
bool success = true;
unsigned long long count = 0;
 
SetEntry<T> i(begin);
 
while (success && i._Node != end)
{
if (!i._Node->IsHeader)
{
try
{
Add(TCloner->Clone(i.Value), false);
count++;
i.MoveNext();
}
catch (Exception^) { success = false; }
}
else i.MoveNext();
}
if (!success)
{
if (count != 0)
{
i.MovePrevious();
SetEntry<T> start(begin); start.MovePrevious();
 
while (i != start)
{
SetEntry<T> j(i._Node); j.MovePrevious();
if (!i._Node->IsHeader) Remove(i.Value);
i = j;
}
}
throw gcnew AddSubTreeFailedException();
}
return Count;
}
 
Node^ Before(T data)
{
Node^ y = Header;
Node^ x = Root;
 
while (x != nullptr)
if (TComparer->Compare(data, ((SetNode<T>^)x)->Data) <= 0)
x = x->Left;
else
{ y = x; x = x->Right; }
 
return y;
}
 
Node^ BeforeEquals(T data)
{
Node^ y = Header;
Node^ x = Root;
 
while (x != nullptr)
{
int c = TComparer->Compare(data, ((SetNode<T>^)x)->Data);
if (c == 0)
{ y = x; break; }
else if (c < 0)
x = x->Left;
else
{ y = x; x = x->Right; }
}
 
return y;
}
 
void Bounds()
{
LeftMost = GetFirst();
RightMost = GetLast();
}
 
void Copy(SetNode<T>^ CopyRoot)
{
if (Root != nullptr) Remove();
if (CopyRoot != nullptr)
{
Copy(Header->Parent, CopyRoot, Header);
LeftMost = GetFirst();
RightMost = GetLast();
}
}
 
void Copy(Node^% root, SetNode<T>^ CopyRoot, Node^ Parent)
{
root = gcnew SetNode<T>(TCloner->Clone(CopyRoot->Data), Parent);
Nodes++;
 
root->Balance = CopyRoot->Balance;
 
if (CopyRoot->Left != nullptr)
Copy(root->Left, (SetNode<T>^)CopyRoot->Left, (SetNode<T>^)root);
 
if (CopyRoot->Right != nullptr)
Copy(root->Right, (SetNode<T>^)CopyRoot->Right, (SetNode<T>^)root);
 
Added(this, ((SetNode<T>^)root)->Data);
}
 
Node^ GetFirst()
{
if (Root == nullptr)
return Header;
 
else
{
Node^ search = Root;
while (search->Left != nullptr) search = search->Left;
return search;
}
}
 
Node^ GetLast()
{
if (Root == nullptr)
return Header;
 
else
{
Node^ search = Root;
while (search->Right != nullptr) search = search->Right;
return search;
}
}
 
void Import(SetNode<T>^ n)
{
if (n != nullptr) ImportTree(n);
}
 
void ImportTree(SetNode<T>^ n)
{
if (n->Left != nullptr) ImportTree((SetNode<T>^)n->Left);
Add(n->Data, false);
if (n->Right != nullptr) ImportTree((SetNode<T>^)n->Right);
}
 
void Notify(SetNode<T>^ root)
{
if (root != nullptr)
{
if (root->Left != nullptr)
Notify((SetNode<T>^)root->Left);
 
Added(this, root->Data);
 
if (root->Right != nullptr)
Notify((SetNode<T>^)root->Right);
}
}
 
void Remove(Node^ root)
{
if (root->Left != nullptr && root->Right != nullptr)
{
Node^ replace = root->Left;
while (replace->Right != nullptr) replace = replace->Right;
SwapNodes(root, replace);
}
 
Node^ Parent = root->Parent;
 
Direction From = (Parent->Left == root) ? Direction::FromLeft : Direction::FromRight;
 
if (LeftMost == root)
{
Node^ n = NextItem(root);
 
if (n->IsHeader)
{ LeftMost = Header; RightMost = Header; }
else
LeftMost = n;
}
else if (RightMost == root)
{
Node^ p = PreviousItem(root);
 
if (p->IsHeader)
{ LeftMost = Header; RightMost = Header; }
else
RightMost = p;
}
 
if (root->Left == nullptr)
{
if (Parent == Header)
Header->Parent = root->Right;
else if (Parent->Left == root)
Parent->Left = root->Right;
else
Parent->Right = root->Right;
 
if (root->Right != nullptr) root->Right->Parent = Parent;
}
else
{
if (Parent == Header)
Header->Parent = root->Left;
else if (Parent->Left == root)
Parent->Left = root->Left;
else
Parent->Right = root->Left;
 
if (root->Left != nullptr) root->Left->Parent = Parent;
}
 
AdjustRemove(Parent, From);
Nodes--;
Removed(this, ((SetNode<T>^)root)->Data);
}
 
unsigned long long Remove(Node^ i, Node^ j)
{
if (i == LeftMost && j == Header)
return Remove();
else
{
unsigned long long count = 0;
while (i != j)
{
SetEntry<T> iter(i); iter.MoveNext();
if (i != Header) { Remove(i); count++; }
i = iter._Node;
}
 
return count;
}
}
 
void Update(SetNode<T>^ Node, T value)
{
if (TComparer->Compare(Node->Data, value) != 0) throw gcnew DifferentKeysException();
T saved = Node->Data;
Node->Data = value;
Updated(this, saved, value);
}
 
void Validate(SetNode<T>^ root)
{
if (root == nullptr) return;
 
if (root->Left != nullptr)
{
SetNode<T>^ Left = (SetNode<T>^)root->Left;
 
if (TComparer->Compare(Left->Data, root->Data) >= 0)
throw gcnew OutOfKeyOrderException();
 
if (Left->Parent != root)
throw gcnew TreeInvalidParentException();
 
Validate((SetNode<T>^)root->Left);
}
 
if (root->Right != nullptr)
{
SetNode<T>^ Right = (SetNode<T>^)root->Right;
 
if (TComparer->Compare(Right->Data, root->Data) <= 0)
throw gcnew OutOfKeyOrderException();
 
if (Right->Parent != root)
throw gcnew TreeInvalidParentException();
 
Validate((SetNode<T>^)root->Right);
}
 
unsigned long long DepthLeft = root->Left != nullptr ? Depth(root->Left) : 0;
unsigned long long DepthRight = root->Right != nullptr ? Depth(root->Right) : 0;
 
if (DepthLeft > DepthRight && DepthLeft - DepthRight > 2)
throw gcnew TreeOutOfBalanceException();
 
if (DepthLeft < DepthRight && DepthRight - DepthLeft > 2)
throw gcnew TreeOutOfBalanceException();
}
 
//*** Static Methods
 
static void CombineSets(Set<T>^ A,
Set<T>^ B,
Set<T>^ R,
SetOperation operation)
{
System::Collections::Generic::IComparer<T>^ TComparer = R->TComparer;
Calculus::ICloner<T>^ TCloner = R->TCloner;
 
SetEntry<T> first1 = A->Begin;
SetEntry<T> last1 = A->End;
SetEntry<T> first2 = B->Begin;
SetEntry<T> last2 = B->End;
 
switch (operation)
{
case SetOperation::Union:
while (first1 != last1 && first2 != last2)
{
int order = TComparer->Compare(first1.Value, first2.Value);
 
if (order < 0)
{
R->Add(TCloner->Clone(first1.Value));
first1.MoveNext();
}
 
else if (order > 0)
{
R->Add(TCloner->Clone(first2.Value));
first2.MoveNext();
}
 
else
{
R->Add(TCloner->Clone(first1.Value));
first1.MoveNext();
first2.MoveNext();
}
}
while (first1 != last1)
{
R->Add(TCloner->Clone(first1.Value));
first1.MoveNext();
}
while (first2 != last2)
{
R->Add(TCloner->Clone(first2.Value));
first2.MoveNext();
}
return;
 
case SetOperation::Intersection:
while (first1 != last1 && first2 != last2)
{
int order = TComparer->Compare(first1.Value, first2.Value);
 
if (order < 0)
first1.MoveNext();
 
else if (order > 0)
first2.MoveNext();
 
else
{
R->Add(TCloner->Clone(first1.Value));
first1.MoveNext();
first2.MoveNext();
}
}
return;
 
case SetOperation::SymmetricDifference:
while (first1 != last1 && first2 != last2)
{
int order = TComparer->Compare(first1.Value, first2.Value);
 
if (order < 0)
{
R->Add(TCloner->Clone(first1.Value));
first1.MoveNext();
}
 
else if (order > 0)
{
R->Add(TCloner->Clone(first2.Value));
first2.MoveNext();
}
 
else
{ first1.MoveNext(); first2.MoveNext(); }
}
 
while (first1 != last1)
{
R->Add(TCloner->Clone(first1.Value));
first1.MoveNext();
}
 
while (first2 != last2)
{
R->Add(TCloner->Clone(first2.Value));
first2.MoveNext();
}
return;
 
case SetOperation::Difference:
while (first1 != last1 && first2 != last2)
{
int order = TComparer->Compare(first1.Value, first2.Value);
 
if (order < 0)
{
R->Add(TCloner->Clone(first1.Value));
first1.MoveNext();
}
 
else if (order > 0)
{
R->Add(TCloner->Clone(first1.Value));
first1.MoveNext();
first2.MoveNext();
}
 
else
{ first1.MoveNext(); first2.MoveNext(); }
}
 
while (first1 != last1)
{
R->Add(TCloner->Clone(first1.Value));
first1.MoveNext();
}
return;
}
 
throw gcnew InvalidSetOperationException();
}
 
static Boolean CheckSets(Set<T>^ A,
Set<T>^ B,
SetOperation operation)
{
System::Collections::Generic::IComparer<T>^ TComparer = A->TComparer;
 
SetEntry<T> first1 = A->Begin;
SetEntry<T> last1 = A->End;
SetEntry<T> first2 = B->Begin;
SetEntry<T> last2 = B->End;
 
switch (operation)
{
case SetOperation::Equality:
case SetOperation::Inequality:
{
bool equals = true;
 
while (first1 != last1 && first2 != last2)
{
if (TComparer->Compare(first1.Value, first2.Value) == 0)
{ first1.MoveNext(); first2.MoveNext(); }
else
{ equals = false; break; }
}
 
if (equals)
{
if (first1 != last1) equals = false;
if (first2 != last2) equals = false;
}
 
if (operation == SetOperation::Equality)
return equals;
else
return !equals;
}
 
case SetOperation::Subset:
case SetOperation::Superset:
{
bool subset = true;
 
while (first1 != last1 && first2 != last2)
{
int order = TComparer->Compare(first1.Value, first2.Value);
 
if (order < 0)
{ subset = false; break; }
 
else if (order > 0)
first2.MoveNext();
 
else
{ first1.MoveNext(); first2.MoveNext(); }
}
 
if (subset)
if (first1 != last1) subset = false;
 
if (operation == SetOperation::Subset)
return subset;
else
return !subset;
}
}
 
throw gcnew InvalidSetOperationException();
}
 
static int CompareSets(Set<T>^ A,
Set<T>^ B)
{
System::Collections::Generic::IComparer<T>^ TComparer = A->TComparer;
 
SetEntry<T> first1 = A->Begin;
SetEntry<T> last1 = A->End;
SetEntry<T> first2 = B->Begin;
SetEntry<T> last2 = B->End;
 
int Result = 0;
 
while (first1 != last1 && first2 != last2)
{
Result = TComparer->Compare(first1.Value, first2.Value);
if (Result == 0)
{ first1.MoveNext(); first2.MoveNext(); }
else
return Result;
}
 
if (first1 != last1) return 1;
if (first2 != last2) return -1;
 
return 0;
}
};
 
}
 
using namespace Calculus;
 
int main(array<System::String ^> ^args)
{
Set<int>^ S = gcnew Set<int>(1, 3, 5 , 6, 7, 9);
Set<int>^ T = gcnew Set<int>(2, 4, 6 , 7, 8, 9);
Set<int>^ U = S | T;
Console::WriteLine(S + " | " + T + " == " + U);
return 0;
}