spicy: Automatic currying for Racket

#lang spicy

(define (map f)
  (foldr (compose cons f) empty))

(module+ main
  (define a '(1 2 3))
  (define (f x) (* x x))
  (map f a))

Compare not spicy:

#lang racket

(define (->1 f) (λ (a b) (values (f a) b)))
(define (map f . args)
  (apply curry foldr (compose cons (->1 f)) empty args))

(module+ main
  (define a '(1 2 3))
  (define (f x) (* x x))
  (map f a))

For fewer parentheses, combine spicy with sweet-exp:

#lang sweet-exp spicy

define map(f)
  foldr (compose cons f) empty

module+ main
  define a '(1 2 3)
  define (f x) (* x x)
  map f a

To spice locally, spicy/sauce:

#lang sweet-exp racket

require spicy/sauce

module+ main
  with-curry
    define mymap-local(f)
      foldr (compose cons f) empty
    mymap-local
      λ (x) {x * x}
      '(1 2 3)
  ;
  splicing-with-curry
    define mymap(f)
      foldr (compose cons f) empty
  ;; now autocurry is off
  (mymap (λ (x) {x * x}))
    '(1 2 3)

Examples

Some more simple examples, based on those in Hughes (1984): Why functional programming matters and racketified.

For details, take the tour.

Human-readable rules

All function applications are curried. Currying is applied from the left.
Keyword arguments can be passed in the initial call, just like when currying manually in Racket.
Any arguments over max-arity are passed through on the right, by constructing a multiple-values object.
- This makes the above example possible, although the arities of f and cons are different.
If the application also returns a multiple-values, the remaining arguments (if any) are appended into it.
If the application produces only one value, which is another curried procedure, it is applied to the remaining arguments.
- See the tour for where this is useful.
The auto-curried procedure immediately switches to the mode where any acceptable arity triggers a call.
- In contrast, currying manually in Racket always curries at least once (if a higher arity exists).
- Hence some variadic functions (notably e.g. +, *) cannot be auto-curried in spicy, since they accept any arity ≥ 0.
- Curry manually to revert to Racket's usual processing: + 1 → 1, but curry + 1 → #<procedure:curried>.
  - It will still use the customized curry function from spicy, but skips the automatic mode switching.

Installation

Copy the files anywhere you want.
Open a terminal in the spicy/ subfolder.
raco pkg install

To uninstall, raco pkg remove spicy.

How it works

Essentially, a custom #%app macro to rewrite function applications at compile time, a customized curry, and four lines of code to package that as a language that borrows everything else from Racket.

Also, the compose function is overridden by a curry-aware version, which spices its arguments.

Disclaimer

Primarily meant for teaching purposes. Tested only on toy examples.

Not completely seamless, and cannot be. Automatic currying and variadic functions do not play well together; also, dynamic typing implies that the system won't notice if you miss an argument somewhere - which may make your code hard to debug. For discussion on the topic, see e.g. here, here and here.

License

GNU LGPL 3.0.

Contains a customized version of Racket's curry, which is used under GNU LGPL 3.0.

Dependencies

sweet-exp is currently used by the implementation in spicy/expander.rkt.

Technologicat/spicy