Multiple dispatch or multimethods is a feature of some programming languages in which a function or method can be dynamically dispatched based on the run-time (dynamic) type or, in the more general case, some other attribute of more than one of its arguments. This is a generalization of single-dispatch polymorphism where a function or method call is dynamically dispatched based on the derived type of the object on which the method has been called. Multiple dispatch routes the dynamic dispatch to the implementing function or method using the combined characteristics of one or more arguments.
Understanding dispatch Developers of computer software typically organize source code into named blocks variously called subroutines, procedures, subprograms, functions, or methods. The code in the function is executed by calling it – executing a piece of code that references its name. This transfers control temporarily to the called function; when the function's execution has completed, control is typically transferred back to the instruction in the caller that follows the reference. Function names are usually selected so as to be descriptive of the function's purpose. It is sometimes desirable to give several functions the same name, often because they perform conceptually similar tasks, but operate on different types of input data. In such cases, the name reference at the function call site is not sufficient for identifying the block of code to be executed. Instead, the number and type of the arguments to the function call are also used to select among several function implementations. In more conventional, i.e., single-dispatch object-oriented programming languages, when invoking a method (sending a message in Smalltalk, calling a member function in C++), one of its arguments is treated specially and used to determine which of the (potentially many) classes of methods of that name is to be applied. In many languages, the special argument is indicated syntactically; for example, a number of programming languages put the special argument before a dot in making a method call: special.method(other, arguments, here), so that lion.sound() would produce a roar, whereas sparrow.sound() would produce a chirp. In contrast, in languages with multiple dispatch, the selected method is simply the one whose arguments match the number and type of the function call. There is no special argument that owns the function/method carried out in a particular call. Multiple dispatch should be distinguished from function overloading, in which static typing information, such as a term's declared or inferred type (or base type in a language with subtyping) is used to determine which of several possibilities will be used at a given call site, and that determination is made at compile or link time (or some other time before program execution starts) and is thereafter invariant for a given deployment or run of the program. Many languages such as C++ offer robust function overloading but do not offer dynamic multiple dispatch (C++ only permits dynamic single dispatch through use of virtual functions).
Data types When working with languages that can discriminate data types at compile time, selecting among the alternatives can occur then. The act of creating such alternative functions for compile time selection is usually referred to as overloading a function. In programming languages that defer data type identification until run time (i.e., late binding), selection among alternative functions must occur then, based on the dynamically determined types of function arguments. Functions whose alternative implementations are selected in this manner are referred to most generally as multimethods. There is some run-time cost associated with dynamically dispatching function calls. In some languages, the distinction between overloading and multimethods can be blurred, with the compiler determining whether compile time selection can be applied to a given function call, or whether slower run time dispatch is needed.
Issues There are several known issues with dynamic-dispatch, both single and multiple. While many of these issues are solved for single-dispatch, which has been a standard feature in object-oriented programming languages for decades, these issues become more complicated in the multiple-dispatch case.
Expressiveness and modularity In most popular programming languages, source code is delivered and deployed in granules of functionality which we will here call packages; actual terminology for this concept varies between language. Each package may contain multiple type, value, and function definitions, packages are often compiled separately in languages with a compilation step, and a non-cyclical dependency relationship may exist. A complete program is a set of packages, with a main package which may depend on several other packages, and the whole program consisting of the transitive closure of the dependency relationship. The so-called expression problem relates to the ability for code in a depending package to extend behaviors (functions or datatypes) defined in a base package from within an including package, without modifying the source to the base package. Traditional single-dispatch OO languages make it trivial to add new datatypes but not new functions; traditional functional languages tend to have the opposite effect, and multiple dispatch, if implemented correctly, allows both. It is desirable for an implementation of multiple dispatch to have the following properties:
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