Methods to support multimethod function overloading with compile-time type checking

A method, to be practiced at compile time by a data handling system that supports multimethod function selection on typed data, including subtypes with multiple inheritance, for enabling static-type checking to be performed at run time for overloaded functions, wherein said system includes (i) a set of type definitions, including specification of subtype relationships, (ii) function definitions referring to at least one of the type definitions, and (iii) precedence rules which, in combination with the function argument order, define an ordering of the confusable function instances, for a given set of arguments, and further wherein said system includes a first data structure for representing (i) subtype relationships as specified in said type definitions, the subtype relationships including levels of specificity, such that, within a given subtype relation for a given set of the data types, there is a maximal static argument type which has a lowest level of specificity, (ii) a partitioning of function instances into confusable sets within which the function instances are ordered, and (iii) for each confusable set, information as to what the maximal static argument types of the functions are for each of the argument positions, the method comprising the steps of:

• (a) inputting a source program to said system;
• (b) selecting confusable sets that are potentially associated with a function invocation in said source program based on said maximal static argument information;
• (c) determining from the confusable sets selected, via said step of selecting, the most specific applicable function instance for the static argument types of the function invocation;
• (d) checking that the result type of said most specific applicable function instance is consistent with the static invocation context in which it occurs;
• (e) identifying any consistency errors with respect to said most specific applicable function instance;
• (f) signaling an error condition upon the identification of any most specific applicable function instance consistency error;
• (g) identifying function instances from the confusable sets, the identified function instances having actual argument types such that the argument types of the identified function instances and the function invocation have subtype relationships so as to allow the identified function instances to be called from the function invocation;
• (h) creating a second data structure for the function instances identified in the said step of identifying which may be utilized at the time of program execution to facilitate dynamic selection of the most specific applicable function instance for the types of all the actual arguments of the
• invocation;
• and
• (i) identifying confusable sets of function instances as confusable sets which potentially contain all functions applicable to the function invocation, the applicable functions having arguments, the arguments having argument types which are supertypes or subtypes of the compile time argument types of the function invocation;
• whereby, one of the applicable functions is chosen for execution at run time, in accordance with actual types of the function arguments.

A method, to be practiced at compile time by a data handling system that supports multimethod function selection on typed data, including subtypes with multiple inheritance, for enabling static-type checking to be performed at run time for overloaded functions, wherein said system includes (i) a set of type definitions, including specification of subtype relationships, (ii) function definitions referring to at least one of the type definitions, and (iii) precedence rules which, in combination with the function argument order, define an ordering of the confusable function instances, for a given set of arguments, the method comprising the steps of:

• (a) creating from said type definitions a first data structure for representing subtype relationships between data types, the subtype relationships including levels of specificity, such that, within a given subtype relation for a given set of the data types, there is a maximal static argument type which has a lowest level of specificity;
• (b) creating from said first data structure and said function definitions a partitioning of function instances into confusable sets;
• (c) ordering the function instances within each confusable set;
• (d) verifying consistency among the ordered function instances resulting from said step of ordering;
• (e) identifying any consistency errors with respect to said ordered function instances;
• (f) signaling an error condition upon the identification of any such consistency error;
• (g) extracting, for each confusable set, information as to what the maximal static argument types of the functions are for each of the argument positions;
• (h) inputting a program to said data handling system;
• (i) selecting confusable sets that are potentially associated with a function invocation in said program based on said maximal static argument information;
• (j) determining from the confusable sets selected, via said step of selecting, the most specific applicable function instance for the static argument types of the function invocation;
• (k) checking that the result type of said most specific applicable function instance is consistent with the static invocation context in which it occurs;
• (l) identifying any consistency errors with respect to said most specific applicable function instance;
• (m) signaling an error condition upon the identification of any most specific applicable function instance consistency error;
• (n) identifying function instances from the confusable sets, the identified function instances having actual argument types such that the argument types of the identified function instances and the function invocation have subtype relationships so as to allow the identified function instances to be called from the function invocation;
• (o) creating a second data structure for the function instances identified in the said step of identifying which may be utilized at the time of program execution to facilitate dynamic selection of the most specific applicable function instance for the types of all the actual arguments of the invocation;
• and
• (p) identifying confusable sets of function instances as confusable sets which potentially contain all functions applicable to the function invocation, the applicable functions having arguments, the arguments having argument types which are supertypes or subtypes of the compile time argument types of the function invocation;
• whereby, one of the applicable functions is chosen for execution at run time, in accordance with actual types of the function arguments.

A data handling system that supports multimethod function selection on typed data, including subtypes with multiple inheritance, for enabling static-type checking to be performed at run time for overloaded functions, the system comprising:

• a set of type definitions, including specification of subtype relationships;
• function definitions referring to at least one of the type definitions, each function definition including a definition of arguments, including an argument order and argument positions;
• precedence rules which, in combination with the function argument order, define an ordering of the confusable function instances, for a given set of arguments;
• means, operable at compile time, for creating from said type definitions a first data structure for representing subtype relationships between data types, the subtype relationships including levels of specificity, such that, within a given subtype relation for a given set of the data types, there is a maximal static argument type which has a lowest level of specificity;
• means, operable at compile time, for creating from said first data structure and said function definitions a partitioning of function instances into confusable sets;
• means, operable at compile time, for ordering the function instances within each confusable set;
• means, operable at compile time, for creating from said first data structure and said verifying consistency among the ordered function instances resulting from said step of ordering;
• means, operable at compile time, for creating from said first data structure and said identifying any consistency errors with respect to said ordered function instances;
• means, operable at compile time, for signaling an error condition upon the identification of any such consistency error;
• means, operable at compile time, for extracting, for each confusable set, information as to what the maximal static argument types of the functions are for each of the argument positions;
• means, operable at compile time, for identifying confusable sets of function instances as confusable sets which potentially contain all functions applicable to the function invocation, the applicable functions having arguments, the arguments having argument types which are supertypes or subtypes of the compile time argument types of the function invocation;
• and
• means, operable at run time, for choosing one of the applicable functions for execution, in accordance with actual types of the function arguments.

A data handling system that supports multimethod function selection on typed data, including subtypes with multiple inheritance, for enabling static-type checking to be performed at run time for overloaded functions, the system comprising:

• a set of type definitions, including specification of subtype relationships;
• function definitions referring to at least one of the type definitions;
• precedence rules which, in combination with the function argument order, define an ordering of the confusable function instances, for a given set of arguments, and further wherein said system includes a first data structure for representing (i) subtype relationships as specified in said type definitions, the subtype relationships including levels of specificity, such that, within a given subtype relation for a given set of the data types, there is a maximal static argument type which has a lowest level of specificity, (ii) a partitioning of function instances into confusable sets within which the function instances are ordered, and (iii) for each confusable set, information as to what the maximal static argument types of the functions are for each of the argument positions, the system comprising:
• means, operable at compile time, for inputting a source program to said system;
• means, operable at compile time, for selecting confusable sets that are potentially associated with a function invocation in said source program based on said maximal static argument information;
• means, operable at compile time, for determining from the confusable sets selected, via said step of selecting, the most specific applicable function instance for the static argument types of the function invocation;
• means, operable at compile time, for checking that the result type of said most specific applicable function instance is consistent with the static invocation context in which it occurs;
• means, operable at compile time, for identifying any consistency errors with respect to said most specific applicable function instance;
• means, operable at compile time, for signaling an error condition upon the identification of any most specific applicable function instance consistency error;
• means, operable at compile time, for identifying function instances from the confusable sets, the identified function instances having actual argument types such that the argument types of the identified function instances and the function invocation have subtype relationships so as to allow the identified function instances to be called from the function invocation;
• means, operable at compile time, for creating a second data structure for the function instances identified by the means for identifying which may be utilized at the time of program execution to facilitate dynamic selection of the most specific applicable function instance for the types of all the actual arguments of the invocation;
• means, operable at compile time, for identifying confusable sets of function instances as confusable sets which potentially contain all functions applicable to the function invocation, the applicable functions having arguments, the arguments having argument types which are supertypes or subtypes of the compile time argument types of the function invocation;
• and
• means, operable at run time, for choosing one of the applicable functions for execution, in accordance with actual types of the function arguments.

A data handling system that supports multimethod function selection on typed data, including subtypes with multiple inheritance, for enabling static-type checking to be performed at run time for overloaded functions, the system comprising:

• a set of type definitions, including specification of subtype relationships,
• function definitions referring to at least one of the type definitions,
• precedence rules which, in combination with the function argument order, define an ordering of the confusable function instances, for a given set of arguments,
• means, operable at compile time, for creating from said type definitions a first data structure for representing subtype relationships between data types, the subtype relationships including levels of specificity, such that, within a given subtype relation for a given set of the data types, there is a maximal static argument type which has a lowest level of specificity;
• means, operable at compile time, for creating from said first data structure and said function definitions a partitioning of function instances into confusable sets;
• means, operable at compile time, for ordering the function instances within each confusable set;
• means, operable at compile time, for verifying consistency among the ordered function instances resulting from said step of ordering;
• means, operable at compile time, for identifying any consistency errors with respect to said ordered function instances;
• means, operable at compile time, for signaling an error condition upon the identification of any such consistency error;
• means, operable at compile time, for extracting, for each confusable set, information as to what the maximal static argument types of the functions are for each of the argument positions;
• means, operable at compile time, for inputting a program to said data handling system;
• means, operable at compile time, for selecting confusable sets that are potentially associated with a function invocation in said program based on said maximal static argument information;
• means, operable at compile time, for determining from the confusable sets selected, via said step of selecting, the most specific applicable function instance for the static argument types of the function invocation;
• means, operable at compile time, for checking that the result type of said most specific applicable function instance is consistent with the static invocation context in which it occurs;
• means, operable at compile time, for identifying any consistency errors with respect to said most specific applicable function instance;
• means, operable at compile time, for signaling an error condition upon the identification of any most specific applicable function instance consistency error;
• means, operable at compile time, for identifying function instances from the confusable sets, the identified function instances having actual argument types such that the argument types of the identified function instances and the function invocation have subtype relationships so as to allow the identified function instances to be called from the function invocation;
• means, operable at compile time, for creating a second data structure for the function instances identified by the means for identifying which may be utilized at the time of program execution to facilitate dynamic selection of the most specific applicable function instance for the types of all the actual arguments of the invocation;
• means, operable at compile time, for identifying confusable sets of function instances as confusable sets which potentially contain all functions applicable to the function invocation, the applicable functions having arguments, the arguments having argument types which are supertypes or subtypes of the compile time argument types of the function invocation;
• and
• means, operable at compile time, for choosing one of the applicable functions for execution, in accordance with actual types of the function arguments.