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 13.3 Operational and Representation Attributes Representation Attributes

1/1
{8652/0009} {AI95-00137-01} [{representation attribute} {attribute (representation)} The values of certain implementation-dependent characteristics can be obtained by interrogating appropriate operational or representation attributes. {attribute (specifying) [distributed]} Some of these attributes are specifiable via an attribute_definition_clause.]

Language Design Principles

1.a
In general, the meaning of a given attribute should not depend on whether the attribute was specified via an attribute_definition_clause, or chosen by default by the implementation. 

Syntax

2
attribute_definition_clause ::= 
      for local_name'attribute_designator use expression;
    | for local_name'attribute_designator use name;

Name Resolution Rules

3
For an attribute_definition_clause that specifies an attribute that denotes a value, the form with an expression shall be used. Otherwise, the form with a name shall be used.
4
{expected type (attribute_definition_clause expression or name) [partial]} For an attribute_definition_clause that specifies an attribute that denotes a value or an object, the expected type for the expression or name is that of the attribute. {expected profile (attribute_definition_clause name) [partial]} For an attribute_definition_clause that specifies an attribute that denotes a subprogram, the expected profile for the name is the profile required for the attribute. For an attribute_definition_clause that specifies an attribute that denotes some other kind of entity, the name shall resolve to denote an entity of the appropriate kind. 
4.a
Ramification: For example, the Size attribute is of type universal_integer. Therefore, the expected type for Y in “for X'Size use Y;” is universal_integer, which means that Y can be of any integer type. 
4.b
Discussion: For attributes that denote subprograms, the required profile is indicated separately for the individual attributes. 
4.c
Ramification: For an attribute_definition_clause with a name, the name need not statically denote the entity it denotes. For example, the following kinds of things are allowed: 
4.d
for Some_Access_Type'Storage_Pool use Storage_Pool_Array(I);
for Some_Type'Read use Subprogram_Pointer.all;

Legality Rules

5/1
{8652/0009} {AI95-00137-01} {specifiable (of an attribute and for an entity) [distributed]} {attribute (specifiable) [distributed]} An attribute_designator is allowed in an attribute_definition_clause only if this International Standard explicitly allows it, or for an implementation-defined attribute if the implementation allows it. {aspect of representation (specifiable attributes) [partial]} Each specifiable attribute constitutes an {operational aspect (specifiable attributes) [partial]} operational aspect or aspect of representation. 
5.a
Discussion: For each specifiable attribute, we generally say something like, “The ... attribute may be specified for ... via an attribute_definition_clause.”
5.b
The above wording allows for T'Class'Alignment, T'Class'Size, T'Class'Input, and T'Class'Output to be specifiable.
5.c
A specifiable attribute is not necessarily specifiable for all entities for which it is defined. For example, one is allowed to ask T'Component_Size for an array subtype T, but “for T'Component_Size use ...” is only allowed if T is a first subtype, because Component_Size is a type-related aspect. 
6
For an attribute_definition_clause that specifies an attribute that denotes a subprogram, the profile shall be mode conformant with the one required for the attribute, and the convention shall be Ada. Additional requirements are defined for particular attributes. {mode conformance (required)}
6.a
Ramification: This implies, for example, that if one writes: 
6.b
for T'Read use R;
6.c
R has to be a procedure with two parameters with the appropriate subtypes and modes as shown in 13.13.2.

Static Semantics

7/2
{AI95-00270-01} {Address clause} {Alignment clause} {Size clause} {Component_Size clause} {External_Tag clause} {Small clause} {Bit_Order clause} {Storage_Pool clause} {Storage_Size clause} {Stream_Size clause} {Read clause} {Write clause} {Input clause} {Output clause} {Machine_Radix clause} A Size clause is an attribute_definition_clause whose attribute_designator is Size. Similar definitions apply to the other specifiable attributes.
7.a
To be honest: {type-related (attribute_definition_clause) [partial]} {subtype-specific (attribute_definition_clause) [partial]} An attribute_definition_clause is type-related or subtype-specific if the attribute_designator denotes a type-related or subtype-specific attribute, respectively. 
8
{storage element} {byte: See storage element} A storage element is an addressable element of storage in the machine. {word} A word is the largest amount of storage that can be conveniently and efficiently manipulated by the hardware, given the implementation's run-time model. A word consists of an integral number of storage elements. 
8.a
Discussion: A storage element is not intended to be a single bit, unless the machine can efficiently address individual bits. 
8.b
Ramification: For example, on a machine with 8-bit storage elements, if there exist 32-bit integer registers, with a full set of arithmetic and logical instructions to manipulate those registers, a word ought to be 4 storage elements — that is, 32 bits. 
8.c
Discussion: The “given the implementation's run-time model” part is intended to imply that, for example, on an 80386 running MS-DOS, the word might be 16 bits, even though the hardware can support 32 bits.
8.d
A word is what ACID refers to as a “natural hardware boundary”.
8.e
Storage elements may, but need not be, independently addressable (see 9.10, “Shared Variables”). Words are expected to be independently addressable.
8.1/2
  {AI95-00133-01} {machine scalar} A machine scalar is an amount of storage that can be conveniently and efficiently loaded, stored, or operated upon by the hardware. Machine scalars consist of an integral number of storage elements. The set of machine scalars is implementation defined, but must include at least the storage element and the word. Machine scalars are used to interpret component_clauses when the nondefault bit ordering applies. 
8.e.1/2
Implementation defined: The set of machine scalars.
9/1
{8652/0009} {AI95-00137-01} The following representation attributes are defined: Address, Alignment, Size, Storage_Size, and Component_Size. The following attributes are defined:
10/1
 For a prefix prefix X that denotes an object, program unit, or label: 
11
X'Address
Denotes the address of the first of the storage elements allocated to X. For a program unit or label, this value refers to the machine code associated with the corresponding body or statement. The value of this attribute is of type System.Address. 
11.a
Ramification: Here, the “first of the storage elements” is intended to mean the one with the lowest address; the endianness of the machine doesn't matter.
12
{specifiable (of Address for stand-alone objects and for program units) [partial]} {Address clause} Address may be specified for stand-alone objects and for program units via an attribute_definition_clause.
12.a
Ramification: Address is not allowed for enumeration literals, predefined operators, derived task types, or derived protected types, since they are not program units.
12.b
The validity of a given address depends on the run-time model; thus, in order to use Address clauses correctly, one needs intimate knowledge of the run-time model.
12.c
If the Address of an object is specified, any explicit or implicit initialization takes place as usual, unless a pragma Import is also specified for the object (in which case any necessary initialization is presumably done in the foreign language).
12.d
Any compilation unit containing an attribute_reference of a given type depends semantically on the declaration of the package in which the type is declared, even if not mentioned in an applicable with_clause — see 10.1.1. In this case, it means that if a compilation unit contains X'Address, then it depends on the declaration of System. Otherwise, the fact that the value of Address is of a type in System wouldn't make sense; it would violate the “legality determinable via semantic dependences” Language Design Principle.
12.e
AI83-00305 — If X is a task type, then within the body of X, X denotes the current task object; thus, X'Address denotes the object's address.
12.f
Interrupt entries and their addresses are described in J.7.1, “Interrupt Entries”.
12.g
If X is not allocated on a storage element boundary, X'Address points at the first of the storage elements that contains any part of X. This is important for the definition of the Position attribute to be sensible. 

Erroneous Execution

13
{erroneous execution (cause) [partial]} If an Address is specified, it is the programmer's responsibility to ensure that the address is valid; otherwise, program execution is erroneous. 

Implementation Advice

14
For an array X, X'Address should point at the first component of the array, and not at the array bounds. 
14.a.1/2
Implementation Advice: For an array X, X'Address should point at the first component of the array rather than the array bounds.
14.a
Ramification: On the other hand, we have no advice to offer about discriminants and tag fields; whether or not the address points at them is not specified by the language. If discriminants are stored separately, then the Position of a discriminant might be negative, or might raise an exception. 
15
{recommended level of support (Address attribute) [partial]} The recommended level of support for the Address attribute is: 
16
16.a
Reason: Aliased objects are the ones for which the Unchecked_Access attribute is allowed; hence, these have to be allocated on an addressable boundary anyway. Similar considerations apply to objects of a by-reference type.
16.b
An implementation need not go to any trouble to make Address work in other cases. For example, if an object X is not aliased and not of a by-reference type, and the implementation chooses to store it in a register, X'Address might return System.Null_Address (assuming registers are not addressable). For a subprogram whose calling convention is Intrinsic, or for a package, the implementation need not generate an out-of-line piece of code for it. 
17
18/2
18.a/2
This paragraph was deleted.Reason: This is necessary for the Address attribute to be useful (since First_Bit and Last_Bit apply only to components). Implementations generally need to do this anyway, for tasking to work properly. 
19
19.a/2
Implementation Advice: The recommended level of support for the Address attribute should be followed.
NOTES
20
1  The specification of a link name in a pragma Export (see B.1) for a subprogram or object is an alternative to explicit specification of its link-time address, allowing a link-time directive to place the subprogram or object within memory.
21
2  The rules for the Size attribute imply, for an aliased object X, that if X'Size = Storage_Unit, then X'Address points at a storage element containing all of the bits of X, and only the bits of X. 

Wording Changes from Ada 83

21.a
The intended meaning of the various attributes, and their attribute_definition_clauses, is more explicit.
21.b
The address_clause has been renamed to at_clause and moved to Annex J, “Obsolescent Features”. One can use an Address clause (“for T'Address use ...;”) instead.
21.c
The attributes defined in RM83-13.7.3 are moved to Annex G, A.5.3, and A.5.4

Language Design Principles

21.d
By default, the Alignment of a subtype should reflect the “natural” alignment for objects of the subtype on the machine. The Alignment, whether specified or default, should be known at compile time, even though Addresses are generally not known at compile time. (The generated code should never need to check at run time the number of zero bits at the end of an address to determine an alignment).
21.e
There are two symmetric purposes of Alignment clauses, depending on whether or not the implementation has control over object allocation. If the implementation allocates an object, the implementation should ensure that the Address and Alignment are consistent with each other. If something outside the implementation allocates an object, the implementation should be allowed to assume that the Address and Alignment are consistent, but should not assume stricter alignments than that.

Static Semantics

22/2
 {AI95-00291-02} For a prefix prefix X that denotes an a subtype or object: 
23/2
 X'Alignment
{AI95-00291-02} The value of this attribute is of type universal_integer, and nonnegative; zero means that the object is not necessarily aligned on a storage element boundary. If X'Alignment is not zero, then X is aligned on a storage unit boundary and X'Address The Address of an object that is allocated under control of the implementation is an integral multiple of X'Alignment the Alignment of the object (that is, the Address modulo the Alignment is zero).The offset of a record component is a multiple of the Alignment of the component. For an object that is not allocated under control of the implementation (that is, one that is imported, that is allocated by a user-defined allocator, whose Address has been specified, or is designated by an access value returned by an instance of Unchecked_Conversion), the implementation may assume that the Address is an integral multiple of its Alignment. The implementation shall not assume a stricter alignment.
24/2
This paragraph was deleted.{AI95-00291-02} The value of this attribute is of type universal_integer, and nonnegative; zero means that the object is not necessarily aligned on a storage element boundary. 
24.a
Ramification: The Alignment is passed by an allocator to the Allocate operation; the implementation has to choose a value such that if the address returned by Allocate is aligned as requested, the generated code can correctly access the object.
24.b
The above mention of “modulo” is referring to the "mod" operator declared in System.Storage_Elements; if X mod N = 0, then X is by definition aligned on an N-storage-element boundary. 
25/2
{AI95-00291-02} {specifiable (of Alignment for objects) [partial]} {specifiable (of Alignment for first subtypes and objects) [partial]} {Alignment clause} Alignment may be specified for first subtypes and [stand-alone] objects via an attribute_definition_clause; the expression of such a clause shall be static, and its value nonnegative.If the Alignment of a subtype is specified, then the Alignment of an object of the subtype is at least as strict, unless the object's Alignment is also specified. The Alignment of an object created by an allocator is that of the designated subtype.
26/2
This paragraph was deleted.{AI95-00247-01} If an Alignment is specified for a composite subtype or object, this Alignment shall be equal to the least common multiple of any specified Alignments of the subcomponent subtypes, or an integer multiple thereof. 
26.1/2
   {AI95-00291-02} For every subtype S: 
26.2/2
   S'Alignment

{AI95-00291-02} The value of this attribute is of type universal_integer, and nonnegative.
26.3/2
{AI95-00051-02} {AI95-00291-02} For an object X of subtype S, if S'Alignment is not zero, then X'Alignment is a nonzero integral multiple of S'Alignment unless specified otherwise by a representation item.
26.4/2
{AI95-00291-02} {specifiable (of Alignment for first subtypes) [partial]} {Alignment clause} Alignment may be specified for first subtypes via an attribute_definition_clause; the expression of such a clause shall be static, and its value nonnegative.

Erroneous Execution

27
{erroneous execution (cause) [partial]} Program execution is erroneous if an Address clause is given that conflicts with the Alignment.
27.a
Ramification: The user has to either give an Alignment clause also, or else know what Alignment the implementation will choose by default. 
28/2
 {AI95-00051-02} {AI95-00291-02} {erroneous execution (cause) [partial]} For If the Alignment is specified for an object that is not allocated under control of the implementation, execution is erroneous if the object is not aligned according to its the Alignment.

Implementation Advice

29
{recommended level of support (Alignment attribute for subtypes) [partial]} The recommended level of support for the Alignment attribute for subtypes is: 
30/2
31/2
32/2
32.1/2
32.a/2
Ramification: {AI95-00291-02} There is no recommendation to support any nonconfirming Alignment clauses for types not mentioned above. Remember that 13.1 requires support for confirming Alignment clauses for all types.
33
{recommended level of support (Alignment attribute for objects) [partial]} The recommended level of support for the Alignment attribute for objects is: 
34/2
35
35.1/2
35.2/2
35.a/2
Implementation Advice: The recommended level of support for the Alignment attribute should be followed.
NOTES
36
3  Alignment is a subtype-specific attribute.
37/2
This paragraph was deleted.4  {AI95-00247-01} The Alignment of a composite object is always equal to the least common multiple of the Alignments of its components, or a multiple thereof. 
37.a/2
This paragraph was deleted.Discussion: For default Alignments, this follows from the semantics of Alignment. For specified Alignments, it follows from a Legality Rule stated above. 
38
5  A component_clause, Component_Size clause, or a pragma Pack can override a specified Alignment. 
38.a
Discussion: Most objects are allocated by the implementation; for these, the implementation obeys the Alignment. The implementation is of course allowed to make an object more aligned than its Alignment requires — an object whose Alignment is 4 might just happen to land at an address that's a multiple of 4096. For formal parameters, the implementation might want to force an Alignment stricter than the parameter's subtype. For example, on some systems, it is customary to always align parameters to 4 storage elements.
38.b
Hence, one might initially assume that the implementation could evilly make all Alignments 1 by default, even though integers, say, are normally aligned on a 4-storage-element boundary. However, the implementation cannot get away with that — if the Alignment is 1, the generated code cannot assume an Alignment of 4, at least not for objects allocated outside the control of the implementation.
38.c
Of course implementations can assume anything they can prove, but typically an implementation will be unable to prove much about the alignment of, say, an imported object. Furthermore, the information about where an address “came from” can be lost to the compiler due to separate compilation.
38.d/2
{AI95-00114-01} The Alignment of an object that is a component of a packed composite object will usually be 0, to indicate that the component is not necessarily aligned on a storage element boundary. For a subtype, an Alignment of 0 means that objects of the subtype are not normally aligned on a storage element boundary at all. For example, an implementation might choose to make Component_Size be 1 0 for an array of Booleans, even when pragma Pack has not been specified for the array. In this case, Boolean'Alignment would be 0. (In the presence of tasking, this would in general be feasible only on a machine that had atomic test-bit and set-bit instructions.)
38.e
If the machine has no particular natural alignments, then all subtype Alignments will probably be 1 by default.
38.f
Specifying an Alignment of 0 in an attribute_definition_clause does not require the implementation to do anything (except return 0 when the Alignment is queried). However, it might be taken as advice on some implementations.
38.g
It is an error for an Address clause to disobey the object's Alignment. The error cannot be detected at compile time, in general, because the Address is not necessarily known at compile time (and is almost certainly not static). We do not require a run-time check, since efficiency seems paramount here, and Address clauses are treading on thin ice anyway. Hence, this misuse of Address clauses is just like any other misuse of Address clauses — it's erroneous.
38.h
A type extension can have a stricter Alignment than its parent. This can happen, for example, if the Alignment of the parent is 4, but the extension contains a component with Alignment 8. The Alignment of a class-wide type or object will have to be the maximum possible Alignment of any extension.
38.i
The recommended level of support for the Alignment attribute is intended to reflect a minimum useful set of capabilities. An implementation can assume that all Alignments are multiples of each other — 1, 2, 4, and 8 might be the only supported Alignments for subtypes. An Alignment of 3 or 6 is unlikely to be useful. For objects that can be allocated statically, we recommend that the implementation support larger alignments, such as 4096. We do not recommend such large alignments for subtypes, because the maximum subtype alignment will also have to be used as the alignment of stack frames, heap objects, and class-wide objects. Similarly, we do not recommend such large alignments for stack-allocated objects.
38.j
If the maximum default Alignment is 8 (say, Long_Float'Alignment = 8), then the implementation can refuse to accept stricter alignments for subtypes. This simplifies the generated code, since the compiler can align the stack and class-wide types to this maximum without a substantial waste of space (or time).
38.k
Note that the recommended level of support takes into account interactions between Size and Alignment. For example, on a 32-bit machine with 8-bit storage elements, where load and store instructions have to be aligned according to the size of the thing being loaded or stored, the implementation might accept an Alignment of 1 if the Size is 8, but might reject an Alignment of 1 if the Size is 32. On a machine where unaligned loads and stores are merely inefficient (as opposed to causing hardware traps), we would expect an Alignment of 1 to be supported for any Size. 

Wording Changes from Ada 83

38.l
The nonnegative part is missing from RM83 (for mod_clauses, nee alignment_clauses, which are an obsolete version of Alignment clauses). 

Static Semantics

39/1
 For a prefix prefix X that denotes an object: 
40
X'Size
Denotes the size in bits of the representation of the object. The value of this attribute is of the type universal_integer
40.a
Ramification: Note that Size is in bits even if Machine_Radix is 10. Each decimal digit (and the sign) is presumably represented as some number of bits. 
41
{specifiable (of Size for stand-alone objects) [partial]} {Size clause} Size may be specified for [stand-alone] objects via an attribute_definition_clause; the expression of such a clause shall be static and its value nonnegative.

Implementation Advice

41.1/2
   {AI95-00051-02} The size of an array object should not include its bounds. 
41.a.1/2
Implementation Advice: The Size of an array object should not include its bounds.
42/2
 {AI95-00051-02} {AI95-00291-02} {recommended level of support (Size attribute) [partial]} The recommended level of support for the Size attribute of objects is the same as for subtypes (see below), except that only a confirming Size clause need be supported for an aliased elementary object.:
43/2

Static Semantics

44
For every subtype S:
45
S'Size
If S is definite, denotes the size [(in bits)] that the implementation would choose for the following objects of subtype S: 
46
47
48
If S is indefinite, the meaning is implementation defined. The value of this attribute is of the type universal_integer. {specifiable (of Size for first subtypes) [partial]} {Size clause} The Size of an object is at least as large as that of its subtype, unless the object's Size is determined by a Size clause, a component_clause, or a Component_Size clause. Size may be specified for first subtypes via an attribute_definition_clause; the expression of such a clause shall be static and its value nonnegative.
48.a
Implementation defined: The meaning of Size for indefinite subtypes.
48.b
Reason: The effects of specifying the Size of a subtype are: 
48.c
48.d
48.e
48.f
A component_clause or a Component_Size clause can cause an object to be smaller than its subtype's specified size. A pragma Pack cannot; if a component subtype's size is specified, this limits how tightly the composite object can be packed.
48.g
The Size of a class-wide (tagged) subtype is unspecified, because it's not clear what it should mean; it should certainly not depend on all of the descendants that happen to exist in a given program. Note that this cannot be detected at compile time, because in a generic unit, it is not necessarily known whether a given subtype is class-wide. It might raise an exception on some implementations. 
48.h
Ramification: A Size clause for a numeric subtype need not affect the underlying numeric type. For example, if I say: 
48.i
type S is range 1..2;
for S'Size use 64;
  
48.j
I am not guaranteed that S'Base'Last >= 2**63–1, nor that intermediate results will be represented in 64 bits. 
48.k
Reason: There is no need to complicate implementations for this sort of thing, because the right way to affect the base range of a type is to use the normal way of declaring the base range: 
48.l
type Big is range -2**63 .. 2**63 - 1;
subtype Small is Big range 1..1000;
  
48.m
Ramification: The Size of a large unconstrained subtype (e.g. String'Size) is likely to raise Constraint_Error, since it is a nonstatic expression of type universal_integer that might overflow the largest signed integer type. There is no requirement that the largest integer type be able to represent the size in bits of the largest possible object. 

Implementation Requirements

49
In an implementation, Boolean'Size shall be 1. 

Implementation Advice

50/2
 {AI95-00051-02} If the Size of a subtype is specified, and allows for efficient independent addressability (see 9.10) on the target architecture, then the Size of the following objects of the subtype should equal the Size of the subtype: 
51
52
52.a.1/2
Implementation Advice: If the Size of a subtype allows for efficient independent addressability, then the Size of most objects of the subtype should equal the Size of the subtype.
52.a
Ramification: Thus, on a typical 32-bit machine, “for S'Size use 32;” will guarantee that aliased objects of subtype S, and components whose subtype is S, will have Size = 32 (assuming the implementation chooses to obey this Implementation Advice). On the other hand, if one writes, “for S2'Size use 5;” then stand-alone objects of subtype S2 will typically have their Size rounded up to ensure independent addressability.
52.b
Note that “for S'Size use 32;” does not cause things like formal parameters to have Size = 32 — the implementation is allowed to make all parameters be at least 64 bits, for example.
52.c
Note that “for S2'Size use 5;” requires record components whose subtype is S2 to be exactly 5 bits if the record type is packed. The same is not true of array components; their Size may be rounded up to the nearest factor of the word size.
52.d/2
Implementation Note: {AI95-00291-02} {gaps} On most machines, arrays don't contain gaps between elementary components; if the Component_Size is greater than the Size of the component subtype, the extra bits are generally considered part of each component, rather than gaps between components. On the other hand, a record might contain gaps between elementary components, depending on what sorts of loads, stores, and masking operations are generally done by the generated code.
52.e/2
{AI95-00291-02} For an array, any extra bits stored for each elementary component will generally be part of the component — the whole point of storing extra bits is to make loads and stores more efficient by avoiding the need to mask out extra bits. The PDP-10 is one counter-example; since the hardware supports byte strings with a gap at the end of each word, one would want to pack in that manner. 
53
A Size clause on a composite subtype should not affect the internal layout of components. 
53.a.1/2
Implementation Advice: A Size clause on a composite subtype should not affect the internal layout of components.
53.a
Reason: That's what Pack pragmas, record_representation_clauses, and Component_Size clauses are for. 
54
{recommended level of support (Size attribute) [partial]} The recommended level of support for the Size attribute of subtypes is: 
55
55.a
Implementation Note: This applies to static enumeration subtypes, using the internal codes used to represent the values.
55.b
For a two's-complement machine, this implies that for a static signed integer subtype S, if all values of S are in the range 0 .. 2n–1, or all values of S are in the range –2n–1 .. 2n–1–1, for some n less than or equal to the word size, then S'Size should be <= the smallest such n. For a one's-complement machine, it is the same except that in the second range, the lower bound “–2n–1” is replaced by “–2n–1+1”.
55.c
If an integer subtype (whether signed or unsigned) contains no negative values, the Size should not include space for a sign bit.
55.d
Typically, the implementation will choose to make the Size of a subtype be exactly the smallest such n. However, it might, for example, choose a biased representation, in which case it could choose a smaller value.
55.e
On most machines, it is in general not a good idea to pack (parts of) multiple stand-alone objects into the same storage element, because (1) it usually doesn't save much space, and (2) it requires locking to prevent tasks from interfering with each other, since separate stand-alone objects are independently addressable. Therefore, if S'Size = 2 on a machine with 8-bit storage elements, the size of a stand-alone object of subtype S will probably not be 2. It might, for example, be 8, 16 or 32, depending on the availability and efficiency of various machine instructions. The same applies to components of composite types, unless packing, Component_Size, or record layout is specified.
55.f
For an unconstrained discriminated object, if the implementation allocates the maximum possible size, then the Size attribute should return that maximum possible size. 
55.g
Ramification: The Size of an object X is not usually the same as that of its subtype S. If X is a stand-alone object or a parameter, for example, most implementations will round X'Size up to a storage element boundary, or more, so X'Size might be greater than S'Size. On the other hand, X'Size cannot be less than S'Size, even if the implementation can prove, for example, that the range of values actually taken on by X during execution is smaller than the range of S.
55.h
For example, if S is a first integer subtype whose range is 0..3, S'Size will be probably be 2 bits, and components of packed composite types of this subtype will be 2 bits (assuming Storage_Unit is a multiple of 2), but stand-alone objects and parameters will probably not have a size of 2 bits; they might be rounded up to 32 bits, for example. On the other hand, Unchecked_Conversion will use the 2-bit size, even when converting a stand-alone object, as one would expect.
55.i
Another reason for making the Size of an object bigger than its subtype's Size is to support the run-time detection of uninitialized variables. {uninitialized variables [partial]} The implementation might add an extra value to a discrete subtype that represents the uninitialized state, and check for this value on use. In some cases, the extra value will require an extra bit in the representation of the object. Such detection is not required by the language. If it is provided, the implementation has to be able to turn it off. For example, if the programmer gives a record_representation_clause or Component_Size clause that makes a component too small to allow the extra bit, then the implementation will not be able to perform the checking (not using this method, anyway).
55.j
The fact that the size of an object is not necessarily the same as its subtype can be confusing: 
55.k
type Device_Register is range 0..2**8 - 1;
for Device_Register'Size use 8; -- Confusing!
My_Device : Device_Register;
for My_Device'Address use To_Address(16#FF00#);
  
55.l
The programmer might think that My_Device'Size is 8, and that My_Device'Address points at an 8-bit location. However, this is not true. In Ada 83 (and in Ada 95), My_Device'Size might well be 32, and My_Device'Address might well point at the high-order 8 bits of the 32-bit object, which are always all zero bits. If My_Device'Address is passed to an assembly language subprogram, based on the programmer's assumption, the program will not work properly. 
55.m
Reason: It is not reasonable to require that an implementation allocate exactly 8 bits to all objects of subtype Device_Register. For example, in many run-time models, stand-alone objects and parameters are always aligned to a word boundary. Such run-time models are generally based on hardware considerations that are beyond the control of the implementer. (It is reasonable to require that an implementation allocate exactly 8 bits to all components of subtype Device_Register, if packed.) 
55.n
Ramification: The correct way to write the above code is like this: 
55.o
type Device_Register is range 0..2**8 - 1;
My_Device : Device_Register;
for My_Device'Size use 8;
for My_Device'Address use To_Address(16#FF00#);
  
55.p
If the implementation cannot accept 8-bit stand-alone objects, then this will be illegal. However, on a machine where an 8-bit device register exists, the implementation will probably be able to accept 8-bit stand-alone objects. Therefore, My_Device'Size will be 8, and My_Device'Address will point at those 8 bits, as desired.
55.q
If an object of subtype Device_Register is passed to a foreign language subprogram, it will be passed according to that subprogram's conventions. Most foreign language implementations have similar run-time model restrictions. For example, when passing to a C function, where the argument is of the C type char* (that is, pointer to char), the C compiler will generally expect a full word value, either on the stack, or in a register. It will not expect a single byte. Thus, Size clauses for subtypes really have nothing to do with passing parameters to foreign language subprograms. 
56
56.a
Ramification: For example, if a task object is represented as a pointer to some information (including a task stack), then the size of the object should be the size of the pointer. The Storage_Size, on the other hand, should include the size of the stack.
56.1/2
56.2/2
56.b/2
Discussion: {AI95-00051-02} Note that the “corresponding limitation” for a record or array type implies that an implementation may impose some reasonable maximum size for records and arrays (e.g. 2**32 bits), which is an upper bound (“capacity” limit) on the size, whether chosen by default or by being specified by the user. The largest size supported for records need not be the same as the largest size supported for arrays. 
56.3/2
56.c/2
Implementation Advice: The recommended level of support for the Size attribute should be followed.
56.d/2
Ramification: {AI95-00291-02} There is no recommendation to support any nonconfirming Size clauses for types not mentioned above. Remember that 13.1 requires support for confirming Size clauses for all types. 
NOTES
57
6  Size is a subtype-specific attribute.
58
7  A component_clause or Component_Size clause can override a specified Size. A pragma Pack cannot. 

Inconsistencies With Ada 83

58.a.1/2
{AI95-00114-01} We specify the meaning of Size in much more detail than Ada 83. This is not technically an inconsistency, but it is in practice, as most Ada 83 compilers use a different definition for Size than is required here. This should have been documented more explicitly during the Ada 9X process. 

Wording Changes from Ada 83

58.a
The requirement for a nonnegative value in a Size clause was not in RM83, but it's hard to see how it would make sense. For uniformity, we forbid negative sizes, rather than letting implementations define their meaning. 

Static Semantics

59/1
 For a prefix prefix T that denotes a task object [(after any implicit dereference)]: 
60
T'Storage_Size

Denotes the number of storage elements reserved for the task. The value of this attribute is of the type universal_integer. The Storage_Size includes the size of the task's stack, if any. The language does not specify whether or not it includes other storage associated with the task (such as the “task control block” used by some implementations.) If a pragma Storage_Size is given, the value of the Storage_Size attribute is at least the value specified in the pragma.
60.a
Ramification: The value of this attribute is never negative, since it is impossible to “reserve” a negative number of storage elements.
60.b
If the implementation chooses to allocate an initial amount of storage, and then increase this as needed, the Storage_Size cannot include the additional amounts (assuming the allocation of the additional amounts can raise Storage_Error); this is inherent in the meaning of “reserved.”
60.c
The implementation is allowed to allocate different amounts of storage for different tasks of the same subtype.
60.d
Storage_Size is also defined for access subtypes — see 13.11
61
[{Storage_Size clause: See also pragma Storage_Size} A pragma Storage_Size specifies the amount of storage to be reserved for the execution of a task.] 

Syntax

62
The form of a pragma Storage_Size is as follows: 
63
  pragma Storage_Size(expression);
64
A pragma Storage_Size is allowed only immediately within a task_definition.

Name Resolution Rules

65
{expected type (Storage_Size pragma argument) [partial]} The expression of a pragma Storage_Size is expected to be of any integer type. 

Dynamic Semantics

66
A pragma Storage_Size is elaborated when an object of the type defined by the immediately enclosing task_definition is created. {elaboration (Storage_Size pragma) [partial]} For the elaboration of a pragma Storage_Size, the expression is evaluated; the Storage_Size attribute of the newly created task object is at least the value of the expression.
66.a
Ramification: The implementation is allowed to round up a specified Storage_Size amount. For example, if the implementation always allocates in chunks of 4096 bytes, the number 200 might be rounded up to 4096. Also, if the user specifies a negative number, the implementation has to normalize this to 0, or perhaps to a positive number. 
67
{Storage_Check [partial]} {check, language-defined (Storage_Check)} {Storage_Error (raised by failure of run-time check)} At the point of task object creation, or upon task activation, Storage_Error is raised if there is insufficient free storage to accommodate the requested Storage_Size. 

Static Semantics

68/1
 For a prefix prefix X that denotes an array subtype or array object [(after any implicit dereference)]: 
69
X'Component_Size

Denotes the size in bits of components of the type of X. The value of this attribute is of type universal_integer.
70
{specifiable (of Component_Size for array types) [partial]} {Component_Size clause} Component_Size may be specified for array types via an attribute_definition_clause; the expression of such a clause shall be static, and its value nonnegative.
70.a
Implementation Note: The intent is that the value of X'Component_Size is always nonnegative. If the array is stored “backwards” in memory (which might be caused by an implementation-defined pragma), X'Component_Size is still positive. 
70.b
Ramification: For an array object A, A'Component_Size = A(I)'Size for any index I. 

Implementation Advice

71
{recommended level of support (Component_Size attribute) [partial]} The recommended level of support for the Component_Size attribute is: 
72
73
73.a
Ramification: For example, if Storage_Unit = 8, and Word_Size = 32, then the user is allowed to specify a Component_Size of 1, 2, 4, 8, 16, and 32, with no gaps. In addition, n*32 is allowed for positive integers n, again with no gaps. If the implementation accepts Component_Size = 3, then it might allocate 10 components per word, with a 2-bit gap at the end of each word (unless packing is also specified), or it might not have any internal gaps at all. (There can be gaps at either end of the array.) 
73.b/2
Implementation Advice: The recommended level of support for the Component_Size attribute should be followed.

Static Semantics

73.1/1
   {8652/0009} {AI95-00137-01} The following operational attribute is defined: External_Tag.
74/1
 {8652/0009} {AI95-00137-01} For every subtype S of a tagged type T (specific or class-wide), the following attribute is defined:
75/1
 S'External_Tag

{8652/0040} {AI95-00108-01} {External_Tag clause} {specifiable (of External_Tag for a tagged type) [partial]} S'External_Tag denotes an external string representation for S'Tag; it is of the predefined type String. External_Tag may be specified for a specific tagged type via an attribute_definition_clause; the expression of such a clause shall be static. The default external tag representation is implementation defined. See 3.9.2 and 13.13.2. The value of External_Tag is never inherited[; the default value is always used unless a new value is directly specified for a type]. 
75.a
Implementation defined: The default external representation for a type tag.

Implementation Requirements

76
In an implementation, the default external tag for each specific tagged type declared in a partition shall be distinct, so long as the type is declared outside an instance of a generic body. If the compilation unit in which a given tagged type is declared, and all compilation units on which it semantically depends, are the same in two different partitions, then the external tag for the type shall be the same in the two partitions. What it means for a compilation unit to be the same in two different partitions is implementation defined. At a minimum, if the compilation unit is not recompiled between building the two different partitions that include it, the compilation unit is considered the same in the two partitions. 
76.a
Implementation defined: What determines whether a compilation unit is the same in two different partitions.
76.b
Reason: These requirements are important because external tags are used for input/output of class-wide types. These requirements ensure that what is written by one program can be read back by some other program so long as they share the same declaration for the type (and everything it depends on).
76.c
The user may specify the external tag if (s)he wishes its value to be stable even across changes to the compilation unit in which the type is declared (or changes in some unit on which it depends).
76.d/2
{AI95-00114-01} We use a String rather than a Stream_Element_Array Storage_Array to represent an external tag for portability. 
76.e
Ramification: Note that the characters of an external tag need not all be graphic characters. In other words, the external tag can be a sequence of arbitrary 8-bit bytes. 
NOTES
77/2
8  {AI95-00270-01} The following language-defined attributes are specifiable, at least for some of the kinds of entities to which they apply: Address, Size, Component_Size, Alignment, Bit_Order, Component_Size, External_Tag, Input, Machine_Radix, Output, Read, Size, Small, Bit_Order, Storage_Pool, Storage_Size, Stream_Size, and Write, Output, Read, Input, and Machine_Radix.
78
9  It follows from the general rules in 13.1 that if one writes “for X'Size use Y;” then the X'Size attribute_reference will return Y (assuming the implementation allows the Size clause). The same is true for all of the specifiable attributes except Storage_Size.
78.a
Ramification: An implementation may specify that an implementation-defined attribute is specifiable for certain entities. This follows from the fact that the semantics of implementation-defined attributes is implementation defined. An implementation is not allowed to make a language-defined attribute specifiable if it isn't. 

Examples

79
Examples of attribute definition clauses: 
80
Byte : constant := 8;
Page : constant := 2**12;
81
type Medium is range 0 .. 65_000;
for Medium'Size use 2*Byte;
for Medium'Alignment use 2;
Device_Register : Medium;
for Device_Register'Size use Medium'Size;
for Device_Register'Address use System.Storage_Elements.To_Address(16#FFFF_0020#);
82
type Short is delta 0.01 range -100.0 .. 100.0;
for Short'Size use 15;
83
for Car_Name'Storage_Size use -- specify access type's storage pool size
        2000*((Car'Size/System.Storage_Unit) +1); -- approximately 2000 cars
84/2
{AI95-00441-01} function My_Input My_Read(Stream : not null access Ada.Streams.Root_Stream_Type'Class)
  return T;
for T'Input Read use My_Input My_Read; -- see 13.13.2
NOTES
85
10  Notes on the examples: In the Size clause for Short, fifteen bits is the minimum necessary, since the type definition requires Short'Small <= 2**(–7). 

Extensions to Ada 83

85.a
{extensions to Ada 83} The syntax rule for length_clause is replaced with the new syntax rule for attribute_definition_clause, and it is modified to allow a name (as well as an expression). 

Wording Changes from Ada 83

85.b
The syntax rule for attribute_definition_clause now requires that the prefix of the attribute be a local_name; in Ada 83 this rule was stated in the text.
85.c/2
{AI95-00114-01} In Ada 83, the relationship between a aspect_clause representation_clause specifying a certain aspect and an attribute that queried that aspect was unclear. In Ada 95, they are the same, except for certain explicit exceptions. 

Wording Changes from Ada 95

85.d/2
{8652/0009} {AI95-00137-01} Corrigendum: Added wording to specify for each attribute whether it is an operational or representation attribute.
85.e/2
{8652/0040} {AI95-00108-01} Corrigendum: Added wording to specify that External_Tag is never inherited.
85.f/2
{AI95-00051-01} {AI95-00291-01} Adjusted the Recommended Level of Support for Alignment to eliminate nonsense requirements and to ensure that useful capabilities are required.
85.g/2
{AI95-00051-01} {AI95-00291-01} Adjusted the Recommended Level of Support for Size to eliminate nonsense requirements and to ensure that useful capabilities are required. Also eliminated any dependence on whether an aspect was specified (a confirming representation item should not affect the semantics).
85.h/2
{AI95-00133-01} Added the definition of machine scalar.
85.i/2
{AI95-00247-01} Removed the requirement that specified alignments for a composite type cannot override those for their components, because it was never intended to apply to components whose location was specified with a representation item. Moreover, it causes a difference in legality when a confirming alignment is specified for one of the composite types.
85.j/2
{AI95-00291-02} Removed recommended level of support rules about types with by-reference and aliased parts, because there are now blanket rules covering all recommended level of support rules.
85.k/2
{AI95-00291-02} Split the definition of Alignment for subtypes and for objects. This simplified the wording and eliminated confusion about which rules applied to objects, which applied to subtypes, and which applied to both. 

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