functional-programmingschemeracketquoterepl-printed-representation

What is ' (apostrophe) in Racket?


I am a little confused about the meaning of the ' sign in racket. It appears to me that the same sign has different meanings. Look at 2 simple examples below:

list

Returns a newly allocated list containing the vs as its elements.

> (list 1 2 3 4)
'(1 2 3 4)

quote

Produces a constant value corresponding to datum (i.e., the representation of the program fragment) without its lexical information, source location, etc. Quoted pairs, vectors, and boxes are immutable.

> '(1 2 3 4)
'(1 2 3 4)

So my question is: Does the ' sign has 2 meanings (a symbol and a list) or are these the same data type and list actually returns a quoted constant value? If the second is the case why does this work:

> '(+ (- 2 13) 11)
'(+ (- 2 13) 11)

> (eval (list + (- 2 13) 11))
0

(also (eval '(+ (- 2 13) 11)) works and evaluates correctly to 0)

But this does not:

> (list + (- 2 13) 11)
'(#<procedure:+> -11 11)

> (eval '(#<procedure:+> -11 11))
. read: bad syntax `#<'

Related maybe: What is ' (apostrophe) in Lisp / Scheme?


Solution

  • > is a sign of REPL - the Read-Eval-Print Loop.

    First, whatever expression you've typed at the REPL prompt is read - converted to some internal abstract syntax tree representation. Then this internal representation of the typed-in expression is evaluated - i.e. its value is found. Then the result is printed.

    When we type

    > (list 1 2 3 4)
    

    the typed-in expression is read as a nested structure, let's write it as

    [LIST | [1 | [2 | [3 | [4 | NIL ]]]]]
    

    according to the usual representation of lists as pairs of data and the rest of the list (here showing a pair of a and b as [a | b]).

    Then the above structure is evaluated, and because its first element was LIST it causes the invocation of list with the arguments as specified, which causes a fresh list structure to be built, which can be represented as

    [1 | [2 | [3 | [4 | NIL ]]]]
    

    Then it is printed, usually as (1 2 3 4) but Racket chooses to print it as '(1 2 3 4). Incidentally, it can't be evaluated, because 1 can not be called.

    Next, the quoted expression '(1 2 3 4), which is read as (quote (1 2 3 4)). It is converted into

    [QUOTE | [ [1 | [2 | [3 | [4 | NIL ]]]] | NIL ]]
    

    which, when evaluated (according to the evaluation rule for quote), returns the data it received. Which we represent as

    [1 | [2 | [3 | [4 | NIL ]]]]
    

    That's why the two are similar. Whether we build a new list containing 1, 2, 3, and 4; or we cause it to be created as part of read process, so it gets returned verbatim by quote; the result is the same.