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The following attributes
are defined for every fixed point subtype S:

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S'Small

S'Small denotes the *small*
of the type of S. The value of this attribute is of the type *universal_real*.
Small may be specified for nonderived
ordinary fixed point types via an attribute_definition_clause
(see 13.3); the expression of such a clause
shall be static.

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S'Delta

S'Delta denotes the *delta*
of the fixed point subtype S. The value of this attribute is of the type
*universal_real*.

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S'Fore

S'Fore yields the minimum number
of characters needed before the decimal point for the decimal representation
of any value of the subtype S, assuming that the representation does
not include an exponent, but includes a one-character prefix that is
either a minus sign or a space. (This minimum number does not include
superfluous zeros or underlines, and is at least 2.) The value of this
attribute is of the type *universal_integer*.

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S'Aft

S'Aft yields the number of decimal
digits needed after the decimal point to accommodate the *delta*
of the subtype S, unless the *delta* of the subtype S is greater
than 0.1, in which case the attribute yields the value one. (S'Aft is
the smallest positive integer N for which (10**N)*S'Delta is greater
than or equal to one.) The value of this attribute is of the type *universal_integer*.

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The following additional
attributes are defined for every decimal fixed point subtype S:

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S'Digits

S'Digits denotes the *digits*
of the decimal fixed point subtype S, which corresponds to the number
of decimal digits that are representable in objects of the subtype. The
value of this attribute is of the type *universal_integer*. Its
value is determined as follows:

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- For a first subtype or a subtype
defined by a subtype_indication
with a digits_constraint,
the digits is the value of the expression given after the reserved word
**digits**;

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- For a subtype defined by a subtype_indication without a digits_constraint, the digits of the subtype is the same as that of the subtype denoted by the subtype_mark in the subtype_indication.

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- The digits of a base subtype
is the largest integer
*D*such that the range –(10***D*–1)**delta*.. +(10***D*–1)**delta*is included in the base range of the type.

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S'Scale

S'Scale denotes the *scale*
of the subtype S, defined as the value N such that S'Delta = 10.0**(–N).
The scale indicates the position of the point relative
to the rightmost significant digits of values of subtype S. The value
of this attribute is of the type *universal_integer*.

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S'Round

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The function returns the value obtained by
rounding X (away from 0, if X is midway between two values of the type
of S).

NOTES

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39 All subtypes of a fixed point type will
have the same value for the Delta attribute, in the absence of delta_constraints
(see J.3).

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40 S'Scale is not always the same as S'Aft
for a decimal subtype; for example, if S'Delta = 1.0 then S'Aft is 1
while S'Scale is 0.

17

41 The predefined operations
of a fixed point type include the assignment operation, qualification,
the membership tests, and explicit conversion to and from other numeric
types. They also include the relational operators and the following predefined
arithmetic operators: the binary and unary adding operators – and
+, multiplying operators, and the unary operator **abs**.

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42 As for all types, objects of a fixed
point type have Size and Address attributes (see 13.3).
Other attributes of fixed point types are defined in A.5.4.

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