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A.18.2 The Package Containers.Vectors

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The language-defined generic package Containers.Vectors provides private types Vector and Cursor, and a set of operations for each type. A vector container allows insertion and deletion at any position, but it is specifically optimized for insertion and deletion at the high end (the end with the higher index) of the container. A vector container also provides random access to its elements.{vector container} {container (vector)}
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{length (of a vector container) [partial]} {capacity (of a vector) [partial]} A vector container behaves conceptually as an array that expands as necessary as items are inserted. The length of a vector is the number of elements that the vector contains. The capacity of a vector is the maximum number of elements that can be inserted into the vector prior to it being automatically expanded.
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Elements in a vector container can be referred to by an index value of a generic formal type. The first element of a vector always has its index value equal to the lower bound of the formal type.
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{empty element (of a vector) [partial]} A vector container may contain empty elements. Empty elements do not have a specified value.
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Implementation Note: Vectors are not intended to be sparse (that is, there are elements at all defined positions). Users are expected to use other containers (like a Map) when they need sparse structures (there is a Note to this effect at the end of this subclause).
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The internal array is a conceptual model of a vector. There is no requirement for an implementation to be a single contiguous array. 

Static Semantics

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{AI95-00302-03} The generic library package Containers.Vectors has the following declaration:
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generic
   type Index_Type is range <>;
   type Element_Type is private;
   with function "=" (Left, Right : Element_Type)
      return Boolean is <>;
package Ada.Containers.Vectors is
   pragma Preelaborate(Vectors);
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   subtype Extended_Index is
      Index_Type'Base range
         Index_Type'First-1 ..
         Index_Type'Min (Index_Type'Base'Last - 1, Index_Type'Last) + 1;
   No_Index : constant Extended_Index := Extended_Index'First;
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   type Vector is tagged private;
   pragma Preelaborable_Initialization(Vector);
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   type Cursor is private;
   pragma Preelaborable_Initialization(Cursor);
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   Empty_Vector : constant Vector;
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   No_Element : constant Cursor;
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   function "=" (Left, Right : Vector) return Boolean;
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   function To_Vector (Length : Count_Type) return Vector;
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   function To_Vector
     (New_Item : Element_Type;
      Length   : Count_Type) return Vector;
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   function "&" (Left, Right : Vector) return Vector;
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   function "&" (Left  : Vector;
                 Right : Element_Type) return Vector;
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   function "&" (Left  : Element_Type;
                 Right : Vector) return Vector;
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   function "&" (Left, Right  : Element_Type) return Vector;
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   function Capacity (Container : Vector) return Count_Type;
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   procedure Reserve_Capacity (Container : in out Vector;
                               Capacity  : in     Count_Type);
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   function Length (Container : Vector) return Count_Type;
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   procedure Set_Length (Container : in out Vector;
                         Length    : in     Count_Type);
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   function Is_Empty (Container : Vector) return Boolean;
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   procedure Clear (Container : in out Vector);
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   function To_Cursor (Container : Vector;
                       Index     : Extended_Index) return Cursor;
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   function To_Index (Position  : Cursor) return Extended_Index;
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   function Element (Container : Vector;
                     Index     : Index_Type)
      return Element_Type;
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   function Element (Position : Cursor) return Element_Type;
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   procedure Replace_Element (Container : in out Vector;
                              Index     : in     Index_Type;
                              New_Item  : in     Element_Type);
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   procedure Replace_Element (Container : in out Vector;
                              Position  : in     Cursor;
                              New_item  : in     Element_Type);
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   procedure Query_Element
     (Container : in Vector;
      Index     : in Index_Type;
      Process   : not null access procedure (Element : in Element_Type));
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   procedure Query_Element
     (Position : in Cursor;
      Process  : not null access procedure (Element : in Element_Type));
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   procedure Update_Element
     (Container : in out Vector;
      Index     : in     Index_Type;
      Process   : not null access procedure
                      (Element : in out Element_Type));
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   procedure Update_Element
     (Container : in out Vector;
      Position  : in     Cursor;
      Process   : not null access procedure
                      (Element : in out Element_Type));
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   procedure Move (Target : in out Vector;
                   Source : in out Vector);
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   procedure Insert (Container : in out Vector;
                     Before    : in     Extended_Index;
                     New_Item  : in     Vector);
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   procedure Insert (Container : in out Vector;
                     Before    : in     Cursor;
                     New_Item  : in     Vector);
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   procedure Insert (Container : in out Vector;
                     Before    : in     Cursor;
                     New_Item  : in     Vector;
                     Position  :    out Cursor);
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   procedure Insert (Container : in out Vector;
                     Before    : in     Extended_Index;
                     New_Item  : in     Element_Type;
                     Count     : in     Count_Type := 1);
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   procedure Insert (Container : in out Vector;
                     Before    : in     Cursor;
                     New_Item  : in     Element_Type;
                     Count     : in     Count_Type := 1);
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   procedure Insert (Container : in out Vector;
                     Before    : in     Cursor;
                     New_Item  : in     Element_Type;
                     Position  :    out Cursor;
                     Count     : in     Count_Type := 1);
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   procedure Insert (Container : in out Vector;
                     Before    : in     Extended_Index;
                     Count     : in     Count_Type := 1);
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   procedure Insert (Container : in out Vector;
                     Before    : in     Cursor;
                     Position  :    out Cursor;
                     Count     : in     Count_Type := 1);
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   procedure Prepend (Container : in out Vector;
                      New_Item  : in     Vector);
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   procedure Prepend (Container : in out Vector;
                      New_Item  : in     Element_Type;
                      Count     : in     Count_Type := 1);
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   procedure Append (Container : in out Vector;
                     New_Item  : in     Vector);
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   procedure Append (Container : in out Vector;
                     New_Item  : in     Element_Type;
                     Count     : in     Count_Type := 1);
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   procedure Insert_Space (Container : in out Vector;
                           Before    : in     Extended_Index;
                           Count     : in     Count_Type := 1);
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   procedure Insert_Space (Container : in out Vector;
                           Before    : in     Cursor;
                           Position  :    out Cursor;
                           Count     : in     Count_Type := 1);
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   procedure Delete (Container : in out Vector;
                     Index     : in     Extended_Index;
                     Count     : in     Count_Type := 1);
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   procedure Delete (Container : in out Vector;
                     Position  : in out Cursor;
                     Count     : in     Count_Type := 1);
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   procedure Delete_First (Container : in out Vector;
                           Count     : in     Count_Type := 1);
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   procedure Delete_Last (Container : in out Vector;
                          Count     : in     Count_Type := 1);
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   procedure Reverse_Elements (Container : in out Vector);
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   procedure Swap (Container : in out Vector;
                   I, J      : in     Index_Type);
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   procedure Swap (Container : in out Vector;
                   I, J      : in     Cursor);
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   function First_Index (Container : Vector) return Index_Type;
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   function First (Container : Vector) return Cursor;
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   function First_Element (Container : Vector)
      return Element_Type;
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   function Last_Index (Container : Vector) return Extended_Index;
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   function Last (Container : Vector) return Cursor;
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   function Last_Element (Container : Vector)
      return Element_Type;
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   function Next (Position : Cursor) return Cursor;
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   procedure Next (Position : in out Cursor);
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   function Previous (Position : Cursor) return Cursor;
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   procedure Previous (Position : in out Cursor);
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   function Find_Index (Container : Vector;
                        Item      : Element_Type;
                        Index     : Index_Type := Index_Type'First)
      return Extended_Index;
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   function Find (Container : Vector;
                  Item      : Element_Type;
                  Position  : Cursor := No_Element)
      return Cursor;
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   function Reverse_Find_Index (Container : Vector;
                                Item      : Element_Type;
                                Index     : Index_Type := Index_Type'Last)
      return Extended_Index;
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   function Reverse_Find (Container : Vector;
                          Item      : Element_Type;
                          Position  : Cursor := No_Element)
      return Cursor;
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   function Contains (Container : Vector;
                      Item      : Element_Type) return Boolean;
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   function Has_Element (Position : Cursor) return Boolean;
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   procedure  Iterate
     (Container : in Vector;
      Process   : not null access procedure (Position : in Cursor));
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   procedure Reverse_Iterate
     (Container : in Vector;
      Process   : not null access procedure (Position : in Cursor));
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   generic
      with function "<" (Left, Right : Element_Type)
         return Boolean is <>;
   package Generic_Sorting is
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      function Is_Sorted (Container : Vector) return Boolean;
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      procedure Sort (Container : in out Vector);
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      procedure Merge (Target  : in out Vector;
                       Source  : in out Vector);
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   end Generic_Sorting;
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private
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   ... -- not specified by the language
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end Ada.Containers.Vectors;
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{AI95-00302-03} The actual function for the generic formal function "=" on Element_Type values is expected to define a reflexive and symmetric relationship and return the same result value each time it is called with a particular pair of values. If it behaves in some other manner, the functions defined to use it return an unspecified value. The exact arguments and number of calls of this generic formal function by the functions defined to use it are unspecified.{unspecified [partial]}
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Ramification: The “functions defined to use it” are Find, Find_Index, Reverse_Find, Reverse_Find_Index, and "=" for Vectors. This list is a bit too long to give explicitly.
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If the actual function for "=" is not symmetric and consistent, the result returned by any of the functions defined to use "=" cannot be predicted. The implementation is not required to protect against "=" raising an exception, or returning random results, or any other “bad” behavior. And it can call "=" in whatever manner makes sense. But note that only the results of the functions defined to use "=" are unspecified; other subprograms are not allowed to break if "=" is bad. 
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{AI95-00302-03} The type Vector is used to represent vectors. The type Vector needs finalization (see 7.6).
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{AI95-00302-03} Empty_Vector represents the empty vector object. It has a length of 0. If an object of type Vector is not otherwise initialized, it is initialized to the same value as Empty_Vector.
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{AI95-00302-03} No_Element represents a cursor that designates no element. If an object of type Cursor is not otherwise initialized, it is initialized to the same value as No_Element.
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{AI95-00302-03} The predefined "=" operator for type Cursor returns True if both cursors are No_Element, or designate the same element in the same container.
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{AI95-00302-03} Execution of the default implementation of the Input, Output, Read, or Write attribute of type Cursor raises Program_Error.
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Reason: A cursor will probably be implemented in terms of one or more access values, and the effects of streaming access values is unspecified. Rather than letting the user stream junk by accident, we mandate that streaming of cursors raise Program_Error by default. The attributes can always be specified if there is a need to support streaming. 
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{AI95-00302-03} No_Index represents a position that does not correspond to any element. The subtype Extended_Index includes the indices covered by Index_Type plus the value No_Index and, if it exists, the successor to the Index_Type'Last.
89.a/2
Discussion: We require the existence of Index_Type'First – 1, so that No_Index and Last_Index of an empty vector is well-defined. We don't require the existence of Index_Type'Last + 1, as it is only used as the position of insertions (and needs to be allowed only when inserting an empty vector). 
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{AI95-00302-03} [Some operations of this generic package have access-to-subprogram parameters. To ensure such operations are well-defined, they guard against certain actions by the designated subprogram. In particular, some operations check for “tampering with cursors” of a container because they depend on the set of elements of the container remaining constant, and others check for “tampering with elements” of a container because they depend on elements of the container not being replaced.]
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{AI95-00302-03} {tamper with cursors (of a vector)} A subprogram is said to tamper with cursors of a vector object V if:
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it inserts or deletes elements of V, that is, it calls the Insert, Insert_Space, Clear, Delete, or Set_Length procedures with V as a parameter; or
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To be honest: Operations which are defined to be equivalent to a call on one of these operations also are included. Similarly, operations which call one of these as part of their definition are included. 
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it finalizes V; or
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it calls the Move procedure with V as a parameter.
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Discussion: Swap, Sort, and Merge copy elements rather than reordering them, so they don't tamper with cursors.
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{AI95-00302-03} {tamper with elements (of a vector)} A subprogram is said to tamper with elements of a vector object V if:
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it tampers with cursors of V; or
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it replaces one or more elements of V, that is, it calls the Replace_Element, Reverse_Elements, or Swap procedures or the Sort or Merge procedures of an instance of Generic_Sorting with V as a parameter.
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Reason: Complete replacement of an element can cause its memory to be deallocated while another operation is holding onto a reference to it. That can't be allowed. However, a simple modification of (part of) an element is not a problem, so Update_Element does not cause a problem. 
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function "=" (Left, Right : Vector) return Boolean;
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{AI95-00302-03} If Left and Right denote the same vector object, then the function returns True. If Left and Right have different lengths, then the function returns False. Otherwise, it compares each element in Left to the corresponding element in Right using the generic formal equality operator. If any such comparison returns False, the function returns False; otherwise it returns True. Any exception raised during evaluation of element equality is propagated.
99.a/2
Implementation Note: This wording describes the canonical semantics. However, the order and number of calls on the formal equality function is unspecified for all of the operations that use it in this package, so an implementation can call it as many or as few times as it needs to get the correct answer. Specifically, there is no requirement to call the formal equality additional times once the answer has been determined. 
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function To_Vector (Length : Count_Type) return Vector;
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{AI95-00302-03} Returns a vector with a length of Length, filled with empty elements.
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function To_Vector
  (New_Item : Element_Type;
   Length   : Count_Type) return Vector;
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{AI95-00302-03} Returns a vector with a length of Length, filled with elements initialized to the value New_Item.
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function "&" (Left, Right : Vector) return Vector;
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{AI95-00302-03} Returns a vector comprising the elements of Left followed by the elements of Right.
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function "&" (Left  : Vector;
              Right : Element_Type) return Vector;
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{AI95-00302-03} Returns a vector comprising the elements of Left followed by the element Right.
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function "&" (Left  : Element_Type;
              Right : Vector) return Vector;
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{AI95-00302-03} Returns a vector comprising the element Left followed by the elements of Right.
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function "&" (Left, Right  : Element_Type) return Vector;
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{AI95-00302-03} Returns a vector comprising the element Left followed by the element Right.
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function Capacity (Container : Vector) return Count_Type;
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{AI95-00302-03} Returns the capacity of Container.
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procedure Reserve_Capacity (Container : in out Vector;
                            Capacity  : in     Count_Type);
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{AI95-00302-03} Reserve_Capacity allocates new internal data structures such that the length of the resulting vector 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 copies the elements into the new data structures and deallocates the old data structures. Any exception raised during allocation is propagated and Container is not modified.
115.a/2
Discussion: Expanding the internal array can be done by allocating a new, longer array, copying the elements, and deallocating the original array. This may raise Storage_Error, or cause an exception from a controlled subprogram. We require that a failed Reserve_Capacity does not lose any elements if an exception occurs, but we do not require a specific order of evaluations or copying.
115.b/2
This routine is used to preallocate the internal array to the specified capacity such that future Inserts do not require memory allocation overhead. Therefore, the implementation should allocate the needed memory to make that true at this point, even though the visible semantics could be preserved by waiting until the memory is needed. This doesn't apply to the indefinite element container, because elements will have to be allocated individually.
115.c/2
The implementation does not have to contract the internal array if the capacity is reduced, as any capacity greater than or equal to the specified capacity is allowed.
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function Length (Container : Vector) return Count_Type;
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{AI95-00302-03} Returns the number of elements in Container.
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procedure Set_Length (Container : in out Vector;
                      Length    : in     Count_Type);
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{AI95-00302-03} If Length is larger than the capacity of Container, Set_Length calls Reserve_Capacity (Container, Length), then sets the length of the Container to Length. If Length is greater than the original length of Container, empty elements are added to Container; otherwise elements are removed from Container.
119.a/2
Ramification: No elements are moved by this operation; any new empty elements are added at the end. This follows from the rules that a cursor continues to designate the same element unless the routine is defined to make the cursor ambiguous or invalid; this operation does not do that. 
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function Is_Empty (Container : Vector) return Boolean;
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{AI95-00302-03} Equivalent to Length (Container) = 0.
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procedure Clear (Container : in out Vector);
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{AI95-00302-03} Removes all the elements from Container. The capacity of Container does not change.
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function To_Cursor (Container : Vector;
                    Index     : Extended_Index) return Cursor;
125/2
{AI95-00302-03} If Index is not in the range First_Index (Container) .. Last_Index (Container), then No_Element is returned. Otherwise, a cursor designating the element at position Index in Container is returned.
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function To_Index (Position  : Cursor) return Extended_Index;
127/2
{AI95-00302-03} If Position is No_Element, No_Index is returned. Otherwise, the index (within its containing vector) of the element designated by Position is returned.
127.a/2
Ramification: This implies that the index is determinable from a bare cursor alone. The basic model is that a vector cursor is implemented as a record containing an access to the vector container and an index value. This does constrain implementations, but it also allows all of the cursor operations to be defined in terms of the corresponding index operation (which should be primary for a vector).
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function Element (Container : Vector;
                  Index     : Index_Type)
   return Element_Type;
129/2
{AI95-00302-03} If Index is not in the range First_Index (Container) .. Last_Index (Container), then Constraint_Error is propagated. Otherwise, Element returns the element at position Index.
130/2
function Element (Position  : Cursor) return Element_Type;
131/2
{AI95-00302-03} If Position equals No_Element, then Constraint_Error is propagated. Otherwise, Element returns the element designated by Position.
132/2
procedure Replace_Element (Container : in out Vector;
                           Index     : in     Index_Type;
                           New_Item  : in     Element_Type);
133/2
{AI95-00302-03} If Index is not in the range First_Index (Container) .. Last_Index (Container), then Constraint_Error is propagated. Otherwise Replace_Element assigns the value New_Item to the element at position Index. Any exception raised during the assignment is propagated. The element at position Index is not an empty element after successful call to Replace_Element.
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procedure Replace_Element (Container : in out Vector;
                           Position  : in     Cursor;
                           New_Item  : in     Element_Type);
135/2
{AI95-00302-03} If Position equals No_Element, then Constraint_Error is propagated; if Position does not designate an element in Container, then Program_Error is propagated. Otherwise Replace_Element assigns New_Item to the element designated by Position. Any exception raised during the assignment is propagated. The element at Position is not an empty element after successful call to Replace_Element.
135.a/2
Ramification: Replace_Element and Update_Element are the only ways that an element can change from empty to non-empty. Also see the note following Update_Element. 
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procedure Query_Element
  (Container : in Vector;
   Index     : in Index_Type;
   Process   : not null access procedure (Element : in Element_Type));
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{AI95-00302-03} If Index is not in the range First_Index (Container) .. Last_Index (Container), then Constraint_Error is propagated. Otherwise, Query_Element calls Process.all with the element at position Index as the argument. Program_Error is propagated if Process.all tampers with the elements of Container. Any exception raised by Process.all is propagated.
137.a/2
Reason: The “tamper with the elements” check is intended to prevent the Element parameter of Process from being modified or deleted outside of Process. The check prevents data loss (if Element_Type is passed by copy) or erroneous execution (if Element_Type is an unconstrained type in an indefinite container). 
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procedure Query_Element
  (Position : in Cursor;
   Process  : not null access procedure (Element : in Element_Type));
139/2
{AI95-00302-03} If Position equals No_Element, then Constraint_Error is propagated. Otherwise, Query_Element calls Process.all with the element designated by Position as the argument. Program_Error is propagated if Process.all tampers with the elements of Container. Any exception raised by Process.all is propagated.
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procedure Update_Element
  (Container : in out Vector;
   Index     : in     Index_Type;
   Process   : not null access procedure (Element : in out Element_Type));
141/2
{AI95-00302-03} If Index is not in the range First_Index (Container) .. Last_Index (Container), then Constraint_Error is propagated. Otherwise, Update_Element calls Process.all with the element at position Index as the argument. Program_Error is propagated if Process.all tampers with the elements of Container. Any exception raised by Process.all is propagated.
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If Element_Type is unconstrained and definite, then the actual Element parameter of Process.all shall be unconstrained.
142.a/2
Ramification: This means that the elements cannot be directly allocated from the heap; it must be possible to change the discriminants of the element in place. 
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The element at position Index is not an empty element after successful completion of this operation.
143.a/2
Ramification: Since reading an empty element is a bounded error, attempting to use this procedure to replace empty elements may fail. Use Replace_Element to do that reliably. 
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procedure Update_Element
  (Container : in out Vector;
   Position  : in     Cursor;
   Process   : not null access procedure (Element : in out Element_Type));
145/2
{AI95-00302-03} If Position equals No_Element, then Constraint_Error is propagated; if Position does not designate an element in Container, then Program_Error is propagated. Otherwise Update_Element calls Process.all with the element designated by Position as the argument. Program_Error is propagated if Process.all tampers with the elements of Container. Any exception raised by Process.all is propagated.
146/2
If Element_Type is unconstrained and definite, then the actual Element parameter of Process.all shall be unconstrained.
147/2
The element designated by Position is not an empty element after successful completion of this operation.
148/2
procedure Move (Target : in out Vector;
                Source : in out Vector);
149/2
{AI95-00302-03} If Target denotes the same object as Source, then Move has no effect. Otherwise, Move first calls Clear (Target); then, each element from Source is removed from Source and inserted into Target in the original order. The length of Source is 0 after a successful call to Move.
149.a/2
Discussion: The idea is that the internal array is removed from Source and moved to Target. (See the Implementation Advice for Move). If Capacity (Target) /= 0, the previous internal array may need to be deallocated. We don't mention this explicitly, because it is covered by the "no memory loss" Implementation Requirement.
150/2
procedure Insert (Container : in out Vector;
                  Before    : in     Extended_Index;
                  New_Item  : in     Vector);
151/2
{AI95-00302-03} If Before is not in the range First_Index (Container) .. Last_Index (Container) + 1, then Constraint_Error is propagated. If Length(New_Item) is 0, then Insert does nothing. Otherwise, it computes the new length NL as the sum of the current length and Length (New_Item); if the value of Last appropriate for length NL would be greater than Index_Type'Last then Constraint_Error is propagated.
152/2
If the current vector capacity is less than NL, Reserve_Capacity (Container, NL) is called to increase the vector capacity. Then Insert slides the elements in the range Before .. Last_Index (Container) up by Length(New_Item) positions, and then copies the elements of New_Item to the positions starting at Before. Any exception raised during the copying is propagated.
152.a/2
Ramification: Moving the elements does not necessarily involve copying. Similarly, since Reserve_Capacity does not require the copying of elements, it does not need to be explicitly called (the implementation can combine the operations if it wishes to).
153/2
procedure Insert (Container : in out Vector;
                  Before    : in     Cursor;
                  New_Item  : in     Vector);
154/2
{AI95-00302-03} If Before is not No_Element, and does not designate an element in Container, then Program_Error is propagated. Otherwise, if Length(New_Item) is 0, then Insert does nothing. If Before is No_Element, then the call is equivalent to Insert (Container, Last_Index (Container) + 1, New_Item); otherwise the call is equivalent to Insert (Container, To_Index (Before), New_Item);
154.a/2
Ramification: The check on Before checks that the cursor does not belong to some other Container. This check implies that a reference to the container is included in the cursor value. This wording is not meant to require detection of dangling cursors; such cursors are defined to be invalid, which means that execution is erroneous, and any result is allowed (including not raising an exception). 
155/2
procedure Insert (Container : in out Vector;
                  Before    : in     Cursor;
                  New_Item  : in     Vector;
                  Position  :    out Cursor);
156/2
{AI95-00302-03} If Before is not No_Element, and does not designate an element in Container, then Program_Error is propagated. If Before equals No_Element, then let T be Last_Index (Container) + 1; otherwise, let T be To_Index (Before). Insert (Container, T, New_Item) is called, and then Position is set to To_Cursor (Container, T).
156.a/2
Discussion: The messy wording is needed because Before is invalidated by Insert, and we don't want Position to be invalid after this call. An implementation probably only needs to copy Before to Position. 
157/2
procedure Insert (Container : in out Vector;
                  Before    : in     Extended_Index;
                  New_Item  : in     Element_Type;
                  Count     : in     Count_Type := 1);
158/2
{AI95-00302-03} Equivalent to Insert (Container, Before, To_Vector (New_Item, Count));
159/2
procedure Insert (Container : in out Vector;
                  Before    : in     Cursor;
                  New_Item  : in     Element_Type;
                  Count     : in     Count_Type := 1);
160/2
{AI95-00302-03} Equivalent to Insert (Container, Before, To_Vector (New_Item, Count));
161/2
procedure Insert (Container : in out Vector;
                  Before    : in     Cursor;
                  New_Item  : in     Element_Type;
                  Position  :    out Cursor;
                  Count     : in     Count_Type := 1);
162/2
{AI95-00302-03} Equivalent to Insert (Container, Before, To_Vector (New_Item, Count), Position);
163/2
procedure Insert (Container : in out Vector;
                  Before    : in     Extended_Index;
                  Count     : in     Count_Type := 1);
164/2
{AI95-00302-03} If Before is not in the range First_Index (Container) .. Last_Index (Container) + 1, then Constraint_Error is propagated. If Count is 0, then Insert does nothing. Otherwise, it computes the new length NL as the sum of the current length and Count; if the value of Last appropriate for length NL would be greater than Index_Type'Last then Constraint_Error is propagated.
165/2
If the current vector capacity is less than NL, Reserve_Capacity (Container, NL) is called to increase the vector capacity. Then Insert slides the elements in the range Before .. Last_Index (Container) up by Count positions, and then inserts elements that are initialized by default (see 3.3.1) in the positions starting at Before.
166/2
procedure Insert (Container : in out Vector;
                  Before    : in     Cursor;
                  Position  :    out Cursor;
                  Count     : in     Count_Type := 1);
167/2
{AI95-00302-03} If Before is not No_Element, and does not designate an element in Container, then Program_Error is propagated. If Before equals No_Element, then let T be Last_Index (Container) + 1; otherwise, let T be To_Index (Before). Insert (Container, T, Count) is called, and then Position is set to To_Cursor (Container, T).
167.a/2
Reason: This routine exists mainly to ease conversion between Vector and List containers. Unlike Insert_Space, this routine default initializes the elements it inserts, which can be more expensive for some element types. 
168/2
procedure Prepend (Container : in out Vector;
                   New_Item  : in     Vector;
                   Count     : in     Count_Type := 1);
169/2
{AI95-00302-03} Equivalent to Insert (Container, First_Index (Container), New_Item).
170/2
procedure Prepend (Container : in out Vector;
                   New_Item  : in     Element_Type;
                   Count     : in     Count_Type := 1);
171/2
{AI95-00302-03} Equivalent to Insert (Container, First_Index (Container), New_Item, Count).
172/2
procedure Append (Container : in out Vector;
                  New_Item  : in     Vector);
173/2
{AI95-00302-03} Equivalent to Insert (Container, Last_Index (Container) + 1, New_Item).
174/2
procedure Append (Container : in out Vector;
                  New_Item  : in     Element_Type;
                  Count     : in     Count_Type := 1);
175/2
{AI95-00302-03} Equivalent to Insert (Container, Last_Index (Container) + 1, New_Item, Count).
176/2
procedure Insert_Space (Container : in out Vector;
                        Before    : in     Extended_Index;
                        Count     : in     Count_Type := 1);
177/2
{AI95-00302-03} If Before is not in the range First_Index (Container) .. Last_Index (Container) + 1, then Constraint_Error is propagated. If Count is 0, then Insert_Space does nothing. Otherwise, it computes the new length NL as the sum of the current length and Count; if the value of Last appropriate for length NL would be greater than Index_Type'Last then Constraint_Error is propagated.
178/2
If the current vector capacity is less than NL, Reserve_Capacity (Container, NL) is called to increase the vector capacity. Then Insert_Space slides the elements in the range Before .. Last_Index (Container) up by Count positions, and then inserts empty elements in the positions starting at Before.
179/2
procedure Insert_Space (Container : in out Vector;
                        Before    : in     Cursor;
                        Position  :    out Cursor;
                        Count     : in     Count_Type := 1);
180/2
{AI95-00302-03} If Before is not No_Element, and does not designate an element in Container, then Program_Error is propagated. If Before equals No_Element, then let T be Last_Index (Container) + 1; otherwise, let T be To_Index (Before). Insert_Space (Container, T, Count) is called, and then Position is set to To_Cursor (Container, T).
181/2
procedure Delete (Container : in out Vector;
                  Index     : in     Extended_Index;
                  Count     : in     Count_Type := 1);
182/2
{AI95-00302-03} If Index is not in the range First_Index (Container) .. Last_Index (Container) + 1, then Constraint_Error is propagated. If Count is 0, Delete has no effect. Otherwise Delete slides the elements (if any) starting at position Index + Count down to Index. Any exception raised during element assignment is propagated.
182.a/2
Ramification: If Index + Count >= Last_Index(Container), this effectively truncates the vector (setting Last_Index to Index – 1 and consequently sets Length to Index – Index_Type'First). 
183/2
procedure Delete (Container : in out Vector;
                  Position  : in out Cursor;
                  Count     : in     Count_Type := 1);
184/2
{AI95-00302-03} If Position equals No_Element, then Constraint_Error is propagated. If Position does not designate an element in Container, then Program_Error is propagated. Otherwise, Delete (Container, To_Index (Position), Count) is called, and then Position is set to No_Element.
185/2
procedure Delete_First (Container : in out Vector;
                        Count     : in     Count_Type := 1);
186/2
{AI95-00302-03} Equivalent to Delete (Container, First_Index (Container), Count).
187/2
procedure Delete_Last (Container : in out Vector;
                       Count     : in     Count_Type := 1);
188/2
{AI95-00302-03} If Length (Container) <= Count then Delete_Last is equivalent to Clear (Container). Otherwise it is equivalent to Delete (Container, Index_Type'Val(Index_Type'Pos(Last_Index (Container)) – Count + 1), Count).
189/2
procedure Reverse_Elements (Container : in out List);
190/2
{AI95-00302-03} Reorders the elements of Container in reverse order.
190.a/2
Discussion: This can copy the elements of the vector — all cursors referencing the vector are ambiguous afterwards and may designate different elements afterwards. 
191/2
procedure Swap (Container : in out Vector;
                I, J      : in     Index_Type);
192/2
{AI95-00302-03} If either I or J is not in the range First_Index (Container) .. Last_Index (Container), then Constraint_Error is propagated. Otherwise, Swap exchanges the values of the elements at positions I and J.
192.a/2
To be honest: The implementation is not required to actually copy the elements if it can do the swap some other way. But it is allowed to copy the elements if needed. 
193/2
procedure Swap (Container : in out Vector;
                I, J      : in     Cursor);
194/2
{AI95-00302-03} If either I or J is No_Element, then Constraint_Error is propagated. If either I or J do not designate an element in Container, then Program_Error is propagated. Otherwise, Swap exchanges the values of the elements designated by I and J.
194.a/2
Ramification: After a call to Swap, I designates the element value previously designated by J, and J designates the element value previously designated by I. The cursors do not become ambiguous from this operation. 
194.b/2
To be honest: The implementation is not required to actually copy the elements if it can do the swap some other way. But it is allowed to copy the elements if needed. 
195/2
function First_Index (Container : Vector) return Index_Type;
196/2
{AI95-00302-03} Returns the value Index_Type'First.
196.a/2
Discussion: We'd rather call this “First”, but then calling most routines in here with First (Some_Vect) would be ambiguous. 
197/2
function First (Container : Vector) return Cursor;
198/2
{AI95-00302-03} If Container is empty, First returns No_Element. Otherwise, it returns a cursor that designates the first element in Container.
199/2
function First_Element (Container : Vector) return Element_Type;
200/2
{AI95-00302-03} Equivalent to Element (Container, First_Index (Container)).
201/2
function Last_Index (Container : Vector) return Extended_Index;
202/2
{AI95-00302-03} If Container is empty, Last_Index returns No_Index. Otherwise, it returns the position of the last element in Container.
203/2
function Last (Container : Vector) return Cursor;
204/2
{AI95-00302-03} If Container is empty, Last returns No_Element. Otherwise, it returns a cursor that designates the last element in Container.
205/2
function Last_Element (Container : Vector) return Element_Type;
206/2
{AI95-00302-03} Equivalent to Element (Container, Last_Index (Container)).
207/2
function Next (Position : Cursor) return Cursor;
208/2
{AI95-00302-03} If Position equals No_Element or designates the last element of the container, then Next returns the value No_Element. Otherwise, it returns a cursor that designates the element with index To_Index (Position) + 1 in the same vector as Position.
209/2
procedure Next (Position : in out Cursor);
210/2
{AI95-00302-03} Equivalent to Position := Next (Position).
211/2
function Previous (Position : Cursor) return Cursor;
212/2
{AI95-00302-03} If Position equals No_Element or designates the first element of the container, then Previous returns the value No_Element. Otherwise, it returns a cursor that designates the element with index To_Index (Position) – 1 in the same vector as Position.
213/2
procedure Previous (Position : in out Cursor);
214/2
{AI95-00302-03} Equivalent to Position := Previous (Position).
215/2
function Find_Index (Container : Vector;
                     Item      : Element_Type;
                     Index     : Index_Type := Index_Type'First)
   return Extended_Index;
216/2
{AI95-00302-03} Searches the elements of Container for an element equal to Item (using the generic formal equality operator). The search starts at position Index and proceeds towards Last_Index (Container). If no equal element is found, then Find_Index returns No_Index. Otherwise, it returns the index of the first equal element encountered.
217/2
function Find (Container : Vector;
               Item      : Element_Type;
               Position  : Cursor := No_Element)
   return Cursor;
218/2
{AI95-00302-03} If Position is not No_Element, and does not designate an element in Container, then Program_Error is propagated. Otherwise Find searches the elements of Container for an element equal to Item (using the generic formal equality operator). The search starts at the first element if Position equals No_Element, and at the element designated by Position otherwise. It proceeds towards the last element of Container. If no equal element is found, then Find returns No_Element. Otherwise, it returns a cursor designating the first equal element encountered.
219/2
function Reverse_Find_Index (Container : Vector;
                             Item      : Element_Type;
                             Index     : Index_Type := Index_Type'Last)
   return Extended_Index;
220/2
{AI95-00302-03} Searches the elements of Container for an element equal to Item (using the generic formal equality operator). The search starts at position Index or, if Index is greater than Last_Index (Container), at position Last_Index (Container). It proceeds towards First_Index (Container). If no equal element is found, then Reverse_Find_Index returns No_Index. Otherwise, it returns the index of the first equal element encountered.
221/2
function Reverse_Find (Container : Vector;
                       Item      : Element_Type;
                       Position  : Cursor := No_Element)
   return Cursor;
222/2
{AI95-00302-03} If Position is not No_Element, and does not designate an element in Container, then Program_Error is propagated. Otherwise Reverse_Find searches the elements of Container for an element equal to Item (using the generic formal equality operator). The search starts at the last element if Position equals No_Element, and at the element designated by Position otherwise. It proceeds towards the first element of Container. If no equal element is found, then Reverse_Find returns No_Element. Otherwise, it returns a cursor designating the first equal element encountered.
223/2
function Contains (Container : Vector;
                   Item      : Element_Type) return Boolean;
224/2
{AI95-00302-03} Equivalent to Has_Element (Find (Container, Item)).
225/2
function Has_Element (Position : Cursor) return Boolean;
226/2
{AI95-00302-03} Returns True if Position designates an element, and returns False otherwise.
226.a/2
To be honest: This function may not detect cursors that designate deleted elements; such cursors are invalid (see below) and the result of calling Has_Element with an invalid cursor is unspecified (but not erroneous). 
227/2
procedure Iterate
  (Container : in Vector;
   Process   : not null access procedure (Position : in Cursor));
228/2
{AI95-00302-03} Invokes Process.all with a cursor that designates each element in Container, in index order. Program_Error is propagated if Process.all tampers with the cursors of Container. Any exception raised by Process is propagated.
228.a/2
Discussion: The purpose of the “tamper with the cursors” check is to prevent erroneous execution from the Position parameter of Process.all becoming invalid. This check takes place when the operations that tamper with the cursors of the container are called. The check cannot be made later (say in the body of Iterate), because that could cause the Position cursor to be invalid and potentially cause execution to become erroneous -- defeating the purpose of the check.
228.b/2
There is no check needed if an attempt is made to insert or delete nothing (that is, Count = 0 or Length(Item) = 0).
228.c/2
The check is easy to implement: each container needs a counter. The counter is incremented when Iterate is called, and decremented when Iterate completes. If the counter is nonzero when an operation that inserts or deletes is called, Finalize is called, or one of the other operations in the list occurs, Program_Error is raised.
229/2
procedure Reverse_Iterate
  (Container : in Vector;
   Process   : not null access procedure (Position : in Cursor));
230/2
{AI95-00302-03} Iterates over the elements in Container as per Iterate, except that elements are traversed in reverse index order.
231/2
 The actual function for the generic formal function "<" of Generic_Sorting is expected to return the same value each time it is called with a particular pair of element values. It should define a strict ordering relationship, that is, be irreflexive, asymmetric, and transitive; it should not modify Container. If the actual for "<" behaves in some other manner, the behavior of the subprograms of Generic_Sorting are unspecified. How many times the subprograms of Generic_Sorting call "<" is unspecified.{unspecified [partial]}
232/2
function Is_Sorted (Container : Vector) return Boolean;
233/2
{AI95-00302-03} Returns True if the elements are sorted smallest first as determined by the generic formal "<" operator; otherwise, Is_Sorted returns False. Any exception raised during evaluation of "<" is propagated.
234/2
procedure Sort (Container : in out Vector);
235/2
{AI95-00302-03} Reorders the elements of Container such that the elements are sorted smallest first as determined by the generic formal "<" operator provided. Any exception raised during evaluation of "<" is propagated.
235.a/2
Ramification: This implies swapping the elements, usually including an intermediate copy. This means that the elements will usually be copied. (As with Swap, if the implementation can do this some other way, it is allowed to.) Since the elements are nonlimited, this usually will not be a problem. Note that there is Implementation Advice below that the implementation should use a sort that minimizes copying of elements.
235.b/2
The sort is not required to be stable (and the fast algorithm required will not be stable). If a stable sort is needed, the user can include the original location of the element as an extra "sort key". We considered requiring the implementation to do that, but it is mostly extra overhead -- usually there is something already in the element that provides the needed stability. 
236/2
procedure Merge (Target  : in out Vector;
                 Source  : in out Vector);
237/2
{AI95-00302-03} Merge removes elements from Source and inserts them into Target; afterwards, Target contains the union of the elements that were initially in Source and Target; Source is left empty. If Target and Source are initially sorted smallest first, then Target is ordered smallest first as determined by the generic formal "<" operator; otherwise, the order of elements in Target is unspecified. Any exception raised during evaluation of "<" is propagated.
237.a/2
Discussion: It is a bounded error if either of the vectors is unsorted, see below. The bounded error can be recovered by sorting Target after the merge call, or the vectors can be pretested with Is_Sorted. 
237.b/2
Implementation Note: The Merge operation will usually require copying almost all of the elements. One implementation strategy would be to extend Target to the appropriate length, then copying elements from the back of the vectors working towards the front. An alternative approach would be to allocate a new internal data array of the appropriate length, copy the elements into it in an appropriate order, and then replacing the data array in Target with the temporary. 

Bounded (Run-Time) Errors

238/2
 {AI95-00302-03} {bounded error (cause) [partial]} Reading the value of an empty element by calling Element, Query_Element, Update_Element, Swap, Is_Sorted, Sort, Merge, "=", Find, or Reverse_Find is a bounded error. The implementation may treat the element as having any normal value (see 13.9.1) of the element type, or raise Constraint_Error or Program_Error before modifying the vector.
238.a/2
Ramification: For instance, a default initialized element could be returned. Or some previous value of an element. But returning random junk is not allowed if the type has default initial value(s).
238.b/2
Assignment and streaming of empty elements are not bounded errors. This is consistent with regular composite types, for which assignment and streaming of uninitialized components do not cause a bounded error, but reading the uninitialized component does cause a bounded error.
238.c/2
There are other operations which are defined in terms of the operations listed above. 
239/2
 {AI95-00302-03} {bounded error (cause) [partial]} Calling Merge in an instance of Generic_Sorting with either Source or Target not ordered smallest first using the provided generic formal "<" operator is a bounded error. Either Program_Error is raised after Target is updated as described for Merge, or the operation works as defined.
240/2
 {AI95-00302-03} {ambiguous cursor (of a vector)} {cursor (ambiguous)} A Cursor value is ambiguous if any of the following have occurred since it was created:
241/2
Insert, Insert_Space, or Delete has been called on the vector that contains the element the cursor designates with an index value (or a cursor designating an element at such an index value) less than or equal to the index value of the element designated by the cursor; or
242/2
The vector that contains the element it designates has been passed to the Sort or Merge procedures of an instance of Generic_Sorting, or to the Reverse_Elements procedure.
243/2
 {AI95-00302-03} {bounded error (cause) [partial]} It is a bounded error to call any subprogram other than "=" or Has_Element declared in Containers.Vectors with an ambiguous (but not invalid, see below) cursor parameter. Possible results are:
244/2
The cursor may be treated as if it were No_Element;
245/2
The cursor may designate some element in the vector (but not necessarily the element that it originally designated);
246/2
Constraint_Error may be raised; or
247/2
Program_Error may be raised.
247.a/2
Reason: Cursors are made ambiguous if an Insert or Delete occurs that moves the elements in the internal array including the designated ones. After such an operation, the cursor probably still designates an element (although it might not after a deletion), but it is a different element. That violates the definition of cursor — it designates a particular element.
247.b/2
For "=" or Has_Element, the cursor works normally (it would not be No_Element). We don't want to trigger an exception simply for comparing a bad cursor.
247.c/2
While it is possible to check for these cases or ensure that cursors survive such operations, in many cases the overhead necessary to make the check (or ensure cursors continue to designate the same element) is substantial in time or space. 

Erroneous Execution

248/2
 {AI95-00302-03} A Cursor value is invalid if any of the following have occurred since it was created:{invalid cursor (of a vector)} {cursor (invalid) [partial]}
249/2
The vector that contains the element it designates has been finalized;
250/2
The vector that contains the element it designates has been used as the Source or Target of a call to Move; or
251/2
The element it designates has been deleted.
252/2
 {AI95-00302-03} The result of "=" or Has_Element is unspecified if it is called with an invalid cursor parameter.{unspecified [partial]} Execution is erroneous if any other subprogram declared in Containers.Vectors is called with an invalid cursor parameter.{erroneous execution (cause) [partial]}
252.a/2
Discussion: The list above (combined with the bounded error cases) is intended to be exhaustive. In other cases, a cursor value continues to designate its original element. For instance, cursor values survive the appending of new elements. 

Implementation Requirements

253/2
 {AI95-00302-03} No storage associated with a vector object shall be lost upon assignment or scope exit.
254/2
 {AI95-00302-03} The execution of an assignment_statement for a vector shall have the effect of copying the elements from the source vector object to the target vector object.
254.a/2
Implementation Note: An assignment of a Vector is a “deep” copy; that is the elements are copied as well as the data structures. We say “effect of” in order to allow the implementation to avoid copying elements immediately if it wishes. For instance, an implementation that avoided copying until one of the containers is modified would be allowed. 

Implementation Advice

255/2
 {AI95-00302-03} Containers.Vectors should be implemented similarly to an array. In particular, if the length of a vector is N, then
256/2
the worst-case time complexity of Element should be O(log N); 
256.a/2
Implementation Advice: The worst-case time complexity of Element for Containers.Vector should be O(log N).
257
the worst-case time complexity of Append with Count=1 when N is less than the capacity of the vector should be O(log N); and 
257.a/2
Implementation Advice: The worst-case time complexity of Append with Count = 1 when N is less than the capacity for Containers.Vector should be O(log N).
258/2
the worst-case time complexity of Prepend with Count=1 and Delete_First with Count=1 should be O(N log N). 
258.a/2
Implementation Advice: The worst-case time complexity of Prepend with Count = 1 and Delete_First with Count=1 for Containers.Vectors should be O(N log N).
258.b/2
Reason: We do not mean to overly constrain implementation strategies here. However, it is important for portability that the performance of large containers has roughly the same factors on different implementations. If a program is moved to an implementation that takes O(N) time to access elements, that program could be unusable when the vectors are large. We allow O(log N) access because the proportionality constant and caching effects are likely to be larger than the log factor, and we don't want to discourage innovative implementations. 
259/2
 {AI95-00302-03} The worst-case time complexity of a call on procedure Sort of an instance of Containers.Vectors.Generic_Sorting should be O(N**2), and the average time complexity should be better than O(N**2).
259.a/2
Implementation Advice: The worst-case time complexity of a call on procedure Sort of an instance of Containers.Vectors.Generic_Sorting should be O(N**2), and the average time complexity should be better than O(N**2).
259.b/2
Ramification: In other words, we're requiring the use of a better than O(N**2) sorting algorithm, such as Quicksort. No bubble sorts allowed! 
260/2
 {AI95-00302-03} Containers.Vectors.Generic_Sorting.Sort and Containers.Vectors.Generic_Sorting.Merge should minimize copying of elements. 
260.a/2
Implementation Advice: Containers.Vectors.Generic_Sorting.Sort and Containers.Vectors.Generic_Sorting.Merge should minimize copying of elements.
260.b/2
To be honest: We do not mean “absolutely minimize” here; we're not intending to require a single copy for each element. Rather, we want to suggest that the sorting algorithm chosen is one that does not copy items unnecessarily. Bubble sort would not meet this advice, for instance. 
261/2
 {AI95-00302-03} Move should not copy elements, and should minimize copying of internal data structures. 
261.a/2
Implementation Advice: Containers.Vectors.Move should not copy elements, and should minimize copying of internal data structures.
261.b/2
Implementation Note: Usually that can be accomplished simply by moving the pointer(s) to the internal data structures from the Source vector to the Target vector. 
262/2
 {AI95-00302-03} If an exception is propagated from a vector operation, no storage should be lost, nor any elements removed from a vector unless specified by the operation. 
262.a/2
Implementation Advice: If an exception is propagated from a vector operation, no storage should be lost, nor any elements removed from a vector unless specified by the operation.
262.b/2
Reason: This is important so that programs can recover from errors. But we don't want to require heroic efforts, so we just require documentation of cases where this can't be accomplished.
NOTES
263/2
42  All elements of a vector occupy locations in the internal array. If a sparse container is required, a Hashed_Map should be used rather than a vector.
264/2
43  If Index_Type'Base'First = Index_Type'First an instance of Ada.Containers.Vectors will raise Constraint_Error. A value below Index_Type'First is required so that an empty vector has a meaningful value of Last_Index.
264.a/2
Discussion: This property is the main reason why only integer types (as opposed to any discrete type) are allowed as the index type of a vector. An enumeration or modular type would require a subtype in order to meet this requirement. 

Extensions to Ada 95

264.b/2
{AI95-00302-03} {extensions to Ada 95} The package Containers.Vectors is new. 

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