# J.3 Reduced Accuracy Subtypes

A digits_constraint may be used to define a floating point subtype with a new value for its requested decimal precision, as reflected by its Digits attribute. Similarly, a delta_constraint may be used to define an ordinary fixed point subtype with a new value for its *delta*, as reflected by its Delta attribute.

## Syntax

delta_constraint ::=deltastatic_expression [range_constraint]

## Name Resolution Rules

The expression of a delta_constraint is expected to be of any real type.

## Legality Rules

The expression of a delta_constraint shall be static.

For a subtype_indication with a delta_constraint, the subtype_mark shall denote an ordinary fixed point subtype.

For a subtype_indication with a digits_constraint, the subtype_mark shall denote either a decimal fixed point subtype or a floating point subtype (notwithstanding the rule given in 3.5.9 that only allows a decimal fixed point subtype).

## Static Semantics

A subtype_indication with a subtype_mark that denotes an ordinary fixed point subtype and a delta_constraint defines an ordinary fixed point subtype with a *delta* given by the value of the expression of the delta_constraint. If the delta_constraint includes a range_constraint, then the ordinary fixed point subtype is constrained by the range_constraint.

A subtype_indication with a subtype_mark that denotes a floating point subtype and a digits_constraint defines a floating point subtype with a requested decimal precision (as reflected by its Digits attribute) given by the value of the expression of the digits_constraint. If the digits_constraint includes a range_constraint, then the floating point subtype is constrained by the range_constraint.

## Dynamic Semantics

A delta_constraint is *compatible* with an ordinary fixed point subtype if the value of the expression is no less than the *delta* of the subtype, and the range_constraint, if any, is compatible with the subtype.

A digits_constraint is *compatible* with a floating point subtype if the value of the expression is no greater than the requested decimal precision of the subtype, and the range_constraint, if any, is compatible with the subtype.

The elaboration of a delta_constraint consists of the elaboration of the range_constraint, if any.

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