Ada Reference Manual (Ada 2022 Draft 34)Legal Information
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7.3.4 Stable Properties of a Type

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Certain characteristics of an object of a given type are unchanged by most of the primitive operations of the type. Such characteristics are called stable properties of the type.

Static Semantics

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A property function of type T is a function with a single parameter of type T or of a class-wide type that covers T.
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A type property aspect definition is a list of names written in the syntax of a positional_array_aggregate. A subprogram property aspect definition is a list of names, each optionally preceded by reserved word not, also written in the syntax of a positional_array_aggregate.
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For a nonformal private type, nonformal private extension, or full type that does not have a partial view, the following language-defined aspects may be specified with an aspect_specification (see 13.1.1):
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Stable_Properties

This aspect shall be specified by a type property aspect definition; each name shall statically denote a single property function of the type. This aspect defines the specific stable property functions of the associated type.
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Stable_Properties'Class

This aspect shall be specified by a type property aspect definition; each name shall statically denote a single property function of the type. This aspect defines the class-wide stable property functions of the associated type. Unlike most class-wide aspects, Stable_Properties'Class is not inherited by descendant types and subprograms, but the enhanced class-wide postconditions are inherited in the normal manner.
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The specific and class-wide stable properties of a type together comprise the stable properties of the type.
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For a primitive subprogram, the following language-defined aspects may be specified with an aspect_specification (see 13.1.1):
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Stable_Properties

This aspect shall be specified by a subprogram property aspect definition; each name shall statically denote a single property function of a type for which the associated subprogram is primitive.
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Stable_Properties'Class

This aspect shall be specified by a subprogram property aspect definition; each name shall statically denote a single property function of a tagged type for which the associated subprogram is primitive. Unlike most class-wide aspects, Stable_Properties'Class is not inherited by descendant subprograms, but the enhanced class-wide postconditions are inherited in the normal manner.

Legality Rules

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A stable property function of a type T shall have a nonlimited return type and shall be:
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a primitive function with a single parameter of mode in of type T; or
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a function that is declared immediately within the declarative region in which an ancestor type of T is declared and has a single parameter of mode in of a class-wide type that covers T
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In a subprogram property aspect definition for a subprogram S:
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all or none of the items shall be preceded by not;
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any property functions mentioned after not shall be a stable property function of a type for which S is primitive.
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If a subprogram_renaming_declaration declares a primitive subprogram of a type T, then the renamed callable entity shall also be a primitive subprogram of type T and the two primitive subprograms shall have the same specific stable property functions and the same class-wide stable property functions (see below).

Static Semantics

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For a primitive subprogram S of a type T, the specific stable property functions of S for type T are:
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if S has an aspect Stable_Properties specified that does not include not, those functions denoted in the aspect Stable_Properties for S that have a parameter of T or T'Class;
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if S has an aspect Stable_Properties specified that includes not, those functions denoted in the aspect Stable_Properties for T, excluding those denoted in the aspect Stable_Properties for S;
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if S does not have an aspect Stable_Properties, those functions denoted in the aspect Stable_Properties for T, if any.
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A similar definition applies for class-wide stable property functions by replacing aspect Stable_Properties with aspect Stable_Properties'Class in the above definition.
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The explicit specific postcondition expression for a subprogram S is the expression directly specified for S with the Post aspect. Similarly, the explicit class-wide postcondition expression for a subprogram S is the expression directly specified for S with the Post'Class aspect.
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For a primitive subprogram S of a type T that has a parameter P of type T, the parameter is excluded from stable property checks if:
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S is a stable property function of T;
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P has mode out;
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the Global aspect of S is null, and P has mode in and the mode is not overridden by a global aspect.
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For every primitive subprogram S of a type T that is not an abstract subprogram or null procedure, the specific postcondition expression of S is modified to include expressions of the form F(P) = F(P)'Old, all anded with each other and any explicit specific postcondition expression, with one such equality included for each specific stable property function F of S for type T that does not occur in the explicit specific postcondition expression of S, and P is each parameter of S that has type T and is not excluded from stable property checks. The resulting specific postcondition expression of S is used in place of the explicit specific postcondition expression of S when interpreting the meaning of the postcondition as defined in 6.1.1.
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For every primitive subprogram S of a type T, the class-wide postcondition expression of S is modified to include expressions of the form F(P) = F(P)'Old, all anded with each other and any explicit class-wide postcondition expression, with one such equality included for each class-wide stable property function F of S for type T that does not occur in any class-wide postcondition expression that applies to S, and P is each parameter of S that has type T and is not excluded from stable property checks. The resulting class-wide postcondition expression of S is used in place of the explicit class-wide postcondition expression of S when interpreting the meaning of the postcondition as defined in 6.1.1.
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The equality operation that is used in the aforementioned equality expressions is as described in the case of an individual membership test whose membership_choice is a choice_simple_expression (see 4.5.2).
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The Post expression additions described above are enabled or disabled depending on the Post assertion policy that is in effect at the point of declaration of the subprogram S. A similar rule applies to the Post'Class expression additions. 
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NOTE   For an example of the use of these aspects, see the Vector container definition in A.18.2.

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