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The empty list is the initial state, and f interprets one word at a time, either as a function name, taking two numbers from the head of the list and pushing the result back in, or parsing the word as a floating-point number and prepending it to the list.
Notice that the type of the result can be regarded as everything past the first supplied argument. This is a consequence of currying, which is made possible by Haskell's support for first-class functions; this function requires two inputs where one argument is supplied and the function is "curried" to produce a function for the argument not supplied.
This lets modules be named in a hierarchical manner (e.g., Data.List instead of List), although technically modules are still in a single monolithic namespace. This extension was specified in an addendum to Haskell 98 and was in practice universally used. The foreign function interface (FFI) allows bindings to other programming languages.
Here, the list [0..] represents , x^2>3 represents the predicate, and 2*x represents the output expression.. List comprehensions give results in a defined order (unlike the members of sets); and list comprehensions may generate the members of a list in order, rather than produce the entirety of the list thus allowing, for example, the previous Haskell definition of the members of an infinite list.
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Folds can be regarded as consistently replacing the structural components of a data structure with functions and values. Lists, for example, are built up in many functional languages from two primitives: any list is either an empty list, commonly called nil ([]), or is constructed by prefixing an element in front of another list, creating what is called a cons node ( Cons(X1,Cons(X2,Cons ...
Gofer (Good for equational reasoning) is an implementation of the programming language Haskell intended for educational purposes and supporting a language based on version 1.2 of the Haskell report. It was replaced by Hugs. [1] Its syntax is closer to the earlier commercial language Miranda than the subsequently
Filter is a standard function for many programming languages, e.g., Haskell, [1] OCaml, [2] Standard ML, [3] or Erlang. [4] Common Lisp provides the functions remove-if and remove-if-not. [5] Scheme Requests for Implementation (SRFI) 1 provides an implementation of filter for the language Scheme. [6]