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Currying and partial function application are often conflated. [1] [2] One of the significant differences between the two is that a call to a partially applied function returns the result right away, not another function down the currying chain; this distinction can be illustrated clearly for functions whose arity is greater than two. [25]
Evaluation of this function might be represented as (,). Note that the result of partial function application in this case is a function that takes two arguments. Partial application is sometimes incorrectly called currying, which is a related, but distinct concept.
The act of currying makes the function type adjoint to the product type; this is explored in detail in the article on currying. The function type can be considered to be a special case of the dependent product type , which among other properties, encompasses the idea of a polymorphic function .
In combinatory logic for computer science, a fixed-point combinator (or fixpoint combinator) [1]: p.26 is a higher-order function (i.e. a function which takes a function as argument) that returns some fixed point (a value that is mapped to itself) of its argument function, if one exists.
In the function numberFromInfiniteList, the value of infinity is an infinite range, but until an actual value (or more specifically, a specific value at a certain index) is needed, the list is not evaluated, and even then, it is only evaluated as needed (that is, until the desired index.) Provided the programmer is careful, the program ...
Scala runs on the Java platform (Java virtual machine) and is compatible with existing Java programs. [15] As Android applications are typically written in Java and translated from Java bytecode into Dalvik bytecode (which may be further translated to native machine code during installation) when packaged, Scala's Java compatibility makes it well-suited to Android development, the more so when ...
Therefore, Int and [Int] have kind , but so does any function type, for instance Int -> Bool or even Int -> Int -> Bool. A type constructor takes one or more type arguments, and produces a data type when enough arguments are supplied, i.e. it supports partial application thanks to currying.
In languages which support first-class functions and currying, map may be partially applied to lift a function that works on only one value to an element-wise equivalent that works on an entire container; for example, map square is a Haskell function which squares each element of a list.