A
*range* has a *lower bound* and an *upper bound* and specifies
a subset of the values of some scalar type (the *type of the range*).
A range with lower bound L and upper bound R is described by “L
.. R”. If R is less than L, then the range
is a *null range*, and specifies an empty set of values. Otherwise,
the range specifies the values of the type from the lower bound to the
upper bound, inclusive. A value *belongs* to
a range if it is of the type of the range, and is in the subset of values
specified by the range. A value *satisfies*
a range constraint if it belongs to the associated range. One
range is *included* in another if all values that belong to the
first range also belong to the second.

For a subtype_indication
containing a range_constraint,
either directly or as part of some other scalar_constraint,
the type of the range
shall resolve to that of the type determined by the subtype_mark
of the subtype_indication.
For a range
of a given type, the simple_expressions
of the range
(likewise, the simple_expressions
of the equivalent range
for a range_attribute_reference)
are expected to be of the type of the range.

The *base range* of a scalar
type is the range of finite values of the type that can be represented
in every unconstrained object of the type; it is also the range supported
at a minimum for intermediate values during the evaluation of expressions
involving predefined operators of the type.

A constrained
scalar subtype is one to which a range constraint applies. The
*range* of a constrained scalar subtype is the range associated
with the range constraint of the subtype. The *range* of an unconstrained
scalar subtype is the base range of its type.

A range is *compatible*
with a scalar subtype if and only if it is either a null range or each
bound of the range belongs to the range of the subtype. A
range_constraint
is *compatible* with a scalar subtype if and only if its range is
compatible with the subtype.

The elaboration of a range_constraint
consists of the evaluation of the range.
The evaluation of a range
determines a lower bound and an upper bound. If simple_expressions
are given to specify bounds, the evaluation of the range
evaluates these simple_expressions
in an arbitrary order, and converts them to the type of the range.
If a range_attribute_reference
is given, the evaluation of the range
consists of the evaluation of the range_attribute_reference.

For every scalar subtype
S, the following attributes are defined:

S'First

S'Last

S'Range

S'Base

S'Base denotes an unconstrained
subtype of the type of S. This unconstrained subtype is called the *base
subtype* of the type.

S'Min

The function returns the lesser of the
values of the two parameters.

S'Max

The function returns the greater of the
values of the two parameters.

S'Succ

For an enumeration
type, the function returns the value whose position number is one more
than that of the value of *Arg*; Constraint_Error
is raised if there is no such value of the type. For an integer type,
the function returns the result of adding one to the value of *Arg*.
For a fixed point type, the function returns the result of adding *small*
to the value of *Arg*. For a floating point type, the function returns
the machine number (as defined in 3.5.7)
immediately above the value of *Arg*; Constraint_Error
is raised if there is no such machine number.

S'Pred

For an enumeration
type, the function returns the value whose position number is one less
than that of the value of *Arg*; Constraint_Error
is raised if there is no such value of the type. For an integer type,
the function returns the result of subtracting one from the value of
*Arg*. For a fixed point type, the function returns the result of
subtracting *small* from the value of *Arg*. For a floating
point type, the function returns the machine number (as defined in 3.5.7)
immediately below the value of *Arg*; Constraint_Error
is raised if there is no such machine number.

S'Wide_Wide_Image

The function returns
an *image* of the value of *Arg*, that is, a sequence of characters
representing the value in display form. The lower bound of the result
is one.

The image of an integer value is the corresponding
decimal literal, without underlines, leading zeros, exponent, or trailing
spaces, but with a single leading character that is either a minus sign
or a space.

The image of an enumeration
value is either the corresponding identifier in upper case or the corresponding
character literal (including the two apostrophes); neither leading nor
trailing spaces are included. For a *nongraphic character* (a value
of a character type that has no enumeration literal associated with it),
the result is a corresponding language-defined name in upper case (for
example, the image of the nongraphic character identified as *nul*
is “NUL” — the quotes are not part of the image).

The image of a floating point value is
a decimal real literal best approximating the value (rounded away from
zero if halfway between) with a single leading character that is either
a minus sign or a space, a single digit (that is nonzero unless the value
is zero), a decimal point, S'Digits–1 (see 3.5.8)
digits after the decimal point (but one if S'Digits is one), an upper
case E, the sign of the exponent (either + or –), and two or more
digits (with leading zeros if necessary) representing the exponent. If
S'Signed_Zeros is True, then the leading character is a minus sign for
a negatively signed zero.

The image of a fixed point value is a decimal
real literal best approximating the value (rounded away from zero if
halfway between) with a single leading character that is either a minus
sign or a space, one or more digits before the decimal point (with no
redundant leading zeros), a decimal point, and S'Aft (see 3.5.10)
digits after the decimal point.

S'Wide_Image

The function returns
an image of the value of *Arg* as a Wide_String. The lower bound
of the result is one. The image has the same sequence of graphic characters
as defined for S'Wide_Wide_Image if all the graphic characters are defined
in Wide_Character; otherwise, the sequence of characters is implementation
defined (but no shorter than that of S'Wide_Wide_Image for the same value
of Arg).

S'Image

The function returns an image of the value
of *Arg* as a String. The lower bound of the result is one. The
image has the same sequence of graphic characters as that defined for
S'Wide_Wide_Image if all the graphic characters are defined in Character;
otherwise, the sequence of characters is implementation defined (but
no shorter than that of S'Wide_Wide_Image for the same value of *Arg*).

S'Wide_Wide_Width

S'Wide_Wide_Width denotes the maximum length of a Wide_Wide_String returned by S'Wide_Wide_Image over all values of the subtype S. It denotes zero for a subtype that has a null range. Its type is

S'Wide_Width

S'Wide_Width denotes the maximum
length of a Wide_String returned by S'Wide_Image over all values of the
subtype S. It denotes zero for a subtype that has a null range. Its type
is *universal_integer*.

S'Width

S'Width denotes the maximum length
of a String returned by S'Image over all values of the subtype S. It
denotes zero for a subtype that has a null range. Its type is *universal_integer*.

S'Wide_Wide_Value

This function returns a value given an
image of the value as a Wide_Wide_String, ignoring any leading or trailing
spaces.

For
the evaluation of a call on S'Wide_Wide_Value for an enumeration subtype
S, if the sequence of characters of the parameter (ignoring leading and
trailing spaces) has the syntax of an enumeration literal and if it corresponds
to a literal of the type of S (or corresponds to the result of S'Wide_Wide_Image
for a nongraphic character of the type), the result is the corresponding
enumeration value; otherwise,
Constraint_Error is raised.

For the evaluation
of a call on S'Wide_Wide_Value for an integer subtype S, if the sequence
of characters of the parameter (ignoring leading and trailing spaces)
has the syntax of an integer literal, with an optional leading sign character
(plus or minus for a signed type; only plus for a modular type), and
the corresponding numeric value belongs to the base range of the type
of S, then that value is the result; otherwise,
Constraint_Error is raised.

For the evaluation
of a call on S'Wide_Wide_Value for a real subtype S, if the sequence
of characters of the parameter (ignoring leading and trailing spaces)
has the syntax of one of the following:

with an optional leading
sign character (plus or minus), and if the corresponding numeric value
belongs to the base range of the type of S, then that value is the result;
otherwise, Constraint_Error is
raised. The sign of a zero value is preserved (positive if none has been
specified) if S'Signed_Zeros is True.

S'Wide_Value

This function returns a value given an
image of the value as a Wide_String, ignoring any leading or trailing
spaces.

For
the evaluation of a call on S'Wide_Value for an enumeration subtype S,
if the sequence of characters of the parameter (ignoring leading and
trailing spaces) has the syntax of an enumeration literal and if it corresponds
to a literal of the type of S (or corresponds to the result of S'Wide_Image
for a value of the type), the result is the corresponding enumeration
value; otherwise, Constraint_Error
is raised. For a numeric subtype S, the evaluation of a call on S'Wide_Value
with *Arg* of type Wide_String is equivalent to a call on S'Wide_Wide_Value
for a corresponding *Arg* of type Wide_Wide_String.

S'Value

This function returns a value given an
image of the value as a String, ignoring any leading or trailing spaces.

For
the evaluation of a call on S'Value for an enumeration subtype S, if
the sequence of characters of the parameter (ignoring leading and trailing
spaces) has the syntax of an enumeration literal and if it corresponds
to a literal of the type of S (or corresponds to the result of S'Image
for a value of the type), the result is the corresponding enumeration
value; otherwise, Constraint_Error
is raised. For a numeric subtype S, the evaluation of a call on S'Value
with *Arg* of type String is equivalent to a call on S'Wide_Wide_Value
for a corresponding *Arg* of type Wide_Wide_String.

An implementation may extend the Wide_Wide_Value,
Wide_Value, Value, Wide_Wide_Image, Wide_Image, and Image attributes
of a floating point type to support special values such as infinities
and NaNs.

An implementation may extend the Wide_Wide_Value,
Wide_Value, and Value attributes of a character type to accept strings
of the form “Hex_*hhhhhhhh*” (ignoring case) for any
character (not just the ones for which Wide_Wide_Image would produce
that form — see 3.5.2), as well as
three-character strings of the form “'*X*'”, where *X*
is any character, including nongraphic characters.

For a scalar type,
the following language-defined representation aspect may be specified
with an aspect_specification
(see 13.1.1):

Default_Value

This aspect shall be specified by a static expression, and that expression shall be explicit, even if the aspect has a boolean type. Default_Value shall be specified only on a full_type_declaration.

If a derived type with no primitive subprograms
inherits a boolean Default_Value aspect, the aspect may be specified
to have any value for the derived type.

The expected type for the expression
specified for the Default_Value aspect is the type defined by the full_type_declaration
on which it appears.

NOTES

24 The evaluation of S'First or S'Last
never raises an exception. If a scalar subtype S has a nonnull range,
S'First and S'Last belong to this range. These values can, for example,
always be assigned to a variable of subtype S.

25 For a subtype of a scalar type, the
result delivered by the attributes Succ, Pred, and Value might not belong
to the subtype; similarly, the actual parameters of the attributes Succ,
Pred, and Image need not belong to the subtype.

26 For any value V (including any nongraphic
character) of an enumeration subtype S, S'Value(S'Image(V)) equals V,
as do S'Wide_Value(S'Wide_Image(V)) and S'Wide_Wide_Value(S'Wide_Wide_Image(V)).
None of these expressions ever raise Constraint_Error.

-10 .. 10

X .. X + 1

0.0 .. 2.0*Pi

Red .. Green --* see 3.5.1*

1 .. 0 --* a null range*

Table'Range --* a range attribute reference (see 3.6)*

X .. X + 1

0.0 .. 2.0*Pi

Red .. Green --

1 .. 0 --

Table'Range --

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