A.18.8 The Generic Package Containers.Hashed_Sets
Static Semantics
The generic library
package Containers.Hashed_Sets has the following declaration:�
with�Ada.Iterator_Interfaces;
generic
���
type�Element_Type�
is�private;
���
with�function�Hash�(Element�:�Element_Type)�
return�Hash_Type;
���
with�function�Equivalent_Elements�(Left,�Right�:�Element_Type)
�����������������
return�Boolean;
���
with�function�"="�(Left,�Right�:�Element_Type)�
return�Boolean�
is�<>;
package�Ada.Containers.Hashed_Sets�
is
���
pragma�Preelaborate(Hashed_Sets);
���
pragma�Remote_Types(Hashed_Sets);
���
type�
Set�
is�tagged�private
������
with�Constant_Indexing�=>�Constant_Reference,
�����������Default_Iterator��=>�Iterate,
�����������Iterator_Element��=>�Element_Type;
���
pragma�Preelaborable_Initialization(Set);
���
type�
Cursor�
is�private;
���
pragma�Preelaborable_Initialization(Cursor);
���
Empty_Set�:�
constant�Set;
���
No_Element�:�
constant�Cursor;
���
function�
Has_Element�(Position�:�Cursor)�
return�Boolean;
���
package�
Set_Iterator_Interfaces�
is�new
�������Ada.Iterator_Interfaces�(Cursor,�Has_Element);
���function�"="�(Left,�Right�:�Set)�return�Boolean;
���
function�
Equivalent_Sets�(Left,�Right�:�Set)�
return�Boolean;
���
function�
To_Set�(New_Item�:�Element_Type)�
return�Set;
���
function�
Capacity�(Container�:�Set)�
return�Count_Type;
���
procedure�
Reserve_Capacity�(Container�:�
in�out�Set;
�������������������������������Capacity��:�
in�����Count_Type);
���
function�
Length�(Container�:�Set)�
return�Count_Type;
���
function�
Is_Empty�(Container�:�Set)�
return�Boolean;
���
procedure�
Clear�(Container�:�
in�out�Set);
���
function�
Element�(Position�:�Cursor)�
return�Element_Type;
���
procedure�
Replace_Element�(Container�:�
in�out�Set;
������������������������������Position��:�
in�����Cursor;
������������������������������New_Item��:�
in�����Element_Type);
���
procedure�
Query_Element
�����(Position�:�
in�Cursor;
������Process��:�
not�null�access�procedure�(Element�:�
in�Element_Type));
���type�Constant_Reference_Type
���������(Element�:�not�null�access�constant�Element_Type)�is�private
������with�Implicit_Dereference�=>�Element;
���
function�
Constant_Reference�(Container�:�
aliased�in�Set;
��������������������������������Position��:�
in�Cursor)
������
return�Constant_Reference_Type;
���
procedure�
Assign�(Target�:�
in�out�Set;�Source�:�
in�Set);
���
function�
Copy�(Source�:�Set;�Capacity�:�Count_Type�:=�0)�
return�Set;
���
procedure�
Move�(Target�:�
in�out�Set;
�������������������Source�:�
in�out�Set);
���
procedure�
Insert�(Container�:�
in�out�Set;
���������������������New_Item��:�
in�����Element_Type;
���������������������Position��:����
out�Cursor;
���������������������Inserted��:����
out�Boolean);
���
procedure�
Insert�(Container�:�
in�out�Set;
���������������������New_Item��:�
in�����Element_Type);
���
procedure�
Include�(Container�:�
in�out�Set;
����������������������New_Item��:�
in�����Element_Type);
���
procedure�
Replace�(Container�:�
in�out�Set;
����������������������New_Item��:�
in�����Element_Type);
���
procedure�
Exclude�(Container�:�
in�out�Set;
����������������������Item������:�
in�����Element_Type);
���
procedure�
Delete�(Container�:�
in�out�Set;
���������������������Item������:�
in�����Element_Type);
���
procedure�
Delete�(Container�:�
in�out�Set;
���������������������Position��:�
in�out�Cursor);
���
procedure�
Union�(Target�:�
in�out�Set;
��������������������Source�:�
in�����Set);
���
function�
Union�(Left,�Right�:�Set)�
return�Set;
���function�"or"�(Left,�Right�:�Set)�return�Set�renames�Union;
���
procedure�
Intersection�(Target�:�
in�out�Set;
���������������������������Source�:�
in�����Set);
���
function�
Intersection�(Left,�Right�:�Set)�
return�Set;
���function�"and"�(Left,�Right�:�Set)�return�Set�renames�Intersection;
���
procedure�
Difference�(Target�:�
in�out�Set;
�������������������������Source�:�
in�����Set);
���
function�
Difference�(Left,�Right�:�Set)�
return�Set;
���function�"-"�(Left,�Right�:�Set)�return�Set�renames�Difference;
���
procedure�
Symmetric_Difference�(Target�:�
in�out�Set;
�����������������������������������Source�:�
in�����Set);
���
function�
Symmetric_Difference�(Left,�Right�:�Set)�
return�Set;
���function�"xor"�(Left,�Right�:�Set)�return�Set
�����renames�Symmetric_Difference;
���
function�
Overlap�(Left,�Right�:�Set)�
return�Boolean;
���
function�
Is_Subset�(Subset�:�Set;
�����������������������Of_Set�:�Set)�
return�Boolean;
���
function�
First�(Container�:�Set)�
return�Cursor;
���
function�
Next�(Position�:�Cursor)�
return�Cursor;
���
procedure�
Next�(Position�:�
in�out�Cursor);
���
function�
Find�(Container�:�Set;
������������������Item������:�Element_Type)�
return�Cursor;
���
function�
Contains�(Container�:�Set;
����������������������Item������:�Element_Type)�
return�Boolean;
This paragraph
was deleted.
���
function�
Equivalent_Elements�(Left,�Right�:�Cursor)
�����
return�Boolean;
���
function�
Equivalent_Elements�(Left��:�Cursor;
���������������������������������Right�:�Element_Type)
�����
return�Boolean;
���
function�
Equivalent_Elements�(Left��:�Element_Type;
���������������������������������Right�:�Cursor)
�����
return�Boolean;
���
procedure�
Iterate
�����(Container�:�
in�Set;
������Process���:�
not�null�access�procedure�(Position�:�
in�Cursor));
���function�Iterate�(Container�:�in�Set)
������return�Set_Iterator_Interfaces.Forward_Iterator'Class;
���
generic
������
type�Key_Type�(<>)�
is�private;
������
with�function�Key�(Element�:�Element_Type)�
return�Key_Type;
������
with�function�Hash�(Key�:�Key_Type)�
return�Hash_Type;
������
with�function�Equivalent_Keys�(Left,�Right�:�Key_Type)
�������������������������������������
return�Boolean;
���
package�
Generic_Keys�
is
������
function�
Key�(Position�:�Cursor)�
return�Key_Type;
������
function�
Element�(Container�:�Set;
������������������������Key�������:�Key_Type)
��������
return�Element_Type;
������
procedure�
Replace�(Container�:�
in�out�Set;
�������������������������Key�������:�
in�����Key_Type;
�������������������������New_Item��:�
in�����Element_Type);
������
procedure�
Exclude�(Container�:�
in�out�Set;
�������������������������Key�������:�
in�����Key_Type);
������
procedure�
Delete�(Container�:�
in�out�Set;
������������������������Key�������:�
in�����Key_Type);
������
function�
Find�(Container�:�Set;
���������������������Key�������:�Key_Type)
���������
return�Cursor;
������
function�
Contains�(Container�:�Set;
�������������������������Key�������:�Key_Type)
���������
return�Boolean;
������
procedure�
Update_Element_Preserving_Key
��������(Container�:�
in�out�Set;
���������Position��:�
in�����Cursor;
���������Process���:�
not�null�access�procedure
�������������������������(Element�:�
in�out�Element_Type));
������
type�
Reference_Type
������������(Element�:�
not�null�access�Element_Type)�
is�private
���������
with�Implicit_Dereference�=>�Element;
������
function�
Reference_Preserving_Key�(Container�:�
aliased�in�out�Set;
�����������������������������������������Position��:�
in�Cursor)
���������
return�Reference_Type;
������
function�
Constant_Reference�(Container�:�
aliased�in�Set;
�����������������������������������Key�������:�
in�Key_Type)
���������
return�Constant_Reference_Type;
������
function�
Reference_Preserving_Key�(Container�:�
aliased�in�out�Set;
�����������������������������������������Key�������:�
in�Key_Type)
���������
return�Reference_Type;
���end�Generic_Keys;
private
���...�--�not�specified�by�the�language
end�Ada.Containers.Hashed_Sets;
�
An object of type Set contains
an expandable hash table, which is used to provide direct access to elements.
The
capacity of an object of type Set is the maximum number of
elements that can be inserted into the hash table prior to it being automatically
expanded.
�
Two elements
E1 and
E2
are defined to be
equivalent if Equivalent_Elements (
E1,
E2) returns True.
�The actual function for the generic formal function
Hash is expected to return the same value each time it is called with
a particular element value. For any two equivalent elements, the actual
for Hash is expected to return the same value. If the actual for Hash
behaves in some other manner, the behavior of this package is unspecified.
Which subprograms of this package call Hash, and how many times they
call it, is unspecified.
�The actual function for the generic formal function
Equivalent_Elements is expected to return the same value each time it
is called with a particular pair of Element values. It should define
an equivalence relationship, that is, be reflexive, symmetric, and transitive.
If the actual for Equivalent_Elements behaves in some other manner, the
behavior of this package is unspecified. Which subprograms of this package
call Equivalent_Elements, and how many times they call it, is unspecified.
���If the actual function for the generic formal
function "=" returns True for any pair of nonequivalent elements,
then the behavior of the container function "=" is unspecified.
�If the value of an element stored in a set is changed
other than by an operation in this package such that at least one of
Hash or Equivalent_Elements give different results, the behavior of this
package is unspecified.
�
Which
elements are the first element and the last element of a set, and which
element is the successor of a given element, are unspecified, other than
the general semantics described in
A.18.7.
function�Capacity�(Container�:�Set)�return�Count_Type;
Returns the capacity
of Container.
procedure�Reserve_Capacity�(Container�:�in�out�Set;
����������������������������Capacity��:�in�����Count_Type);
Reserve_Capacity allocates a new hash table such
that the length of the resulting set can become at least the value Capacity
without requiring an additional call to Reserve_Capacity, and is large
enough to hold the current length of Container. Reserve_Capacity then
rehashes the elements in Container onto the new hash table. It replaces
the old hash table with the new hash table, and then deallocates the
old hash table. Any exception raised during allocation is propagated
and Container is not modified.
Reserve_Capacity
tampers with the cursors of Container.
procedure�Clear�(Container�:�in�out�Set);
In addition to the
semantics described in
A.18.7, Clear does
not affect the capacity of Container.
procedure�Assign�(Target�:�in�out�Set;�Source�:�in�Set);
In addition to the
semantics described in
A.18.7, if the length
of Source is greater than the capacity of Target, Reserve_Capacity (Target,
Length (Source)) is called before assigning any elements.
function�Copy�(Source�:�Set;�Capacity�:�Count_Type�:=�0)�return�Set;
Returns a set whose
elements are initialized from the elements of Source. If Capacity is
0, then the set capacity is the length of Source; if Capacity is equal
to or greater than the length of Source, the set capacity is at least
the specified value. Otherwise, the operation propagates Capacity_Error.
procedure�Insert�(Container�:�in�out�Set;
������������������New_Item��:�in�����Element_Type;
������������������Position��:����out�Cursor;
������������������Inserted��:����out�Boolean);
In addition to the
semantics described in
A.18.7, if Length
(Container) equals Capacity (Container), then Insert first calls Reserve_Capacity
to increase the capacity of Container to some larger value.
function�First�(Container�:�Set)�return�Cursor;
If Length (Container)
= 0, then First returns No_Element. Otherwise, First returns a cursor
that designates the first hashed element in Container.
function�Equivalent_Elements�(Left,�Right�:�Cursor)
������return�Boolean;
Equivalent to Equivalent_Elements
(Element (Left), Element (Right)).
function�Equivalent_Elements�(Left��:�Cursor;
������������������������������Right�:�Element_Type)�return�Boolean;
Equivalent to Equivalent_Elements
(Element (Left), Right).
function�Equivalent_Elements�(Left��:�Element_Type;
������������������������������Right�:�Cursor)�return�Boolean;
Equivalent to Equivalent_Elements
(Left, Element (Right)).
function�Iterate�(Container�:�in�Set)
���return�Set_Iterator_Interfaces.Forward_Iterator'Class;
Iterate returns
an iterator object (see
5.5.1) that will
generate a value for a loop parameter (see
5.5.2)
designating each element in Container, starting with the first element
and moving the cursor according to the successor relation. Tampering
with the cursors of Container is prohibited while the iterator object
exists (in particular, in the
sequence_of_statements
of the
loop_statement
whose
iterator_specification
denotes this object). The iterator object needs finalization.
�For any element
E, the actual function for
the generic formal function Generic_Keys.Hash is expected to be such
that Hash (
E) = Generic_Keys.Hash (Key (
E)). If the actuals
for Key or Generic_Keys.Hash behave in some other manner, the behavior
of Generic_Keys is unspecified. Which subprograms of Generic_Keys call
Generic_Keys.Hash, and how many times they call it, is unspecified.
�For any two elements
E1 and
E2, the
boolean values Equivalent_Elements (
E1,
E2) and Equivalent_Keys
(Key (
E1), Key (
E2)) are expected to be equal. If the actuals
for Key or Equivalent_Keys behave in some other manner, the behavior
of Generic_Keys is unspecified. Which subprograms of Generic_Keys call
Equivalent_Keys, and how many times they call it, is unspecified.
Implementation Advice
�If N is the length of a set, the average
time complexity of the subprograms Insert, Include, Replace, Delete,
Exclude and Find that take an element parameter should be O(log
N). The average time complexity of the subprograms that take a
cursor parameter should be O(1). The average time complexity of
Reserve_Capacity should be O(N).�
Ada 2005 and 2012 Editions sponsored in part by Ada-Europe