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Provide make-compose macro and refactor compose-n implementations

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Phil Nguyen 2021-01-10 19:53:15 -08:00 committed by Sergiu Ivanov
parent bfa82e3cb2
commit b8f3a54822
1 changed files with 32 additions and 77 deletions
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109
main.rkt
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@ -16,11 +16,17 @@
;;; along with this program. If not, see
;;; <https://www.gnu.org/licenses/>.
#lang typed/racket
#lang typed/racket/base
(require (for-syntax syntax/parse))
(require syntax/parse/define
(for-syntax racket/base
racket/match
racket/list
racket/syntax
syntax/parse))
(provide compose-n
(provide make-compose
compose-n
compose-3 compose-4 compose-5 compose-6 compose-7 compose-8 compose-9
multi-compose multi-chain)
@ -37,82 +43,30 @@
(test-case "compose-n"
(check-equal? ((compose-n add1 add1 add1) 3) 6)))
(: compose-3 (All (a b c d)
(-> (-> c d)
(-> b c)
(-> a b)
(-> a d))))
(define (compose-3 f1 f2 f3)
(λ (x) (f1 (f2 (f3 x)))))
(define-for-syntax (make-compose-type n)
(with-syntax* ([(t ...) (generate-temporaries (make-list n 't))]
[(_ ... t₀) #'(a t ...)]
[(F ...)
(let step ([u #'a] [ts (syntax->list #'(t ...))])
(match ts
['() '()]
[(cons t ts*) (cons #`(#,t → #,u) (step t ts*))]))])
#'(∀ (a t ...) (F ... → t₀ → a))))
(: compose-4 (All (a b c d e)
(-> (-> d e)
(-> c d)
(-> b c)
(-> a b)
(-> a e))))
(define (compose-4 f1 f2 f3 f4)
(λ (x) (f1 (f2 (f3 (f4 x))))))
(define-syntax-parser make-compose
[(_ n:nat)
(with-syntax* ([(f ...) (generate-temporaries (make-list (syntax-e #'n) 'f))]
[T (make-compose-type (syntax-e #'n))]
[body (foldr (λ (fᵢ res) #`(#,fᵢ #,res)) #'x (syntax->list #'(f ...)))])
#'(ann (λ (f ...) (λ (x) body)) T))])
(: compose-5 (All (a b c d e f)
(-> (-> e f)
(-> d e)
(-> c d)
(-> b c)
(-> a b)
(-> a f))))
(define (compose-5 f1 f2 f3 f4 f5)
(λ (x) (f1 (f2 (f3 (f4 (f5 x)))))))
(: compose-6 (All (a b c d e f g)
(-> (-> f g)
(-> e f)
(-> d e)
(-> c d)
(-> b c)
(-> a b)
(-> a g))))
(define (compose-6 f1 f2 f3 f4 f5 f6)
(λ (x) (f1 (f2 (f3 (f4 (f5 (f6 x))))))))
(: compose-7 (All (a b c d e f g h)
(-> (-> g h)
(-> f g)
(-> e f)
(-> d e)
(-> c d)
(-> b c)
(-> a b)
(-> a h))))
(define (compose-7 f1 f2 f3 f4 f5 f6 f7)
(λ (x) (f1 (f2 (f3 (f4 (f5 (f6 (f7 x)))))))))
(: compose-8 (All (a b c d e f g h i)
(-> (-> h i)
(-> g h)
(-> f g)
(-> e f)
(-> d e)
(-> c d)
(-> b c)
(-> a b)
(-> a i))))
(define (compose-8 f1 f2 f3 f4 f5 f6 f7 f8)
(λ (x) (f1 (f2 (f3 (f4 (f5 (f6 (f7 (f8 x))))))))))
(: compose-9 (All (a b c d e f g h i j)
(-> (-> i j)
(-> h i)
(-> g h)
(-> f g)
(-> e f)
(-> d e)
(-> c d)
(-> b c)
(-> a b)
(-> a j))))
(define (compose-9 f1 f2 f3 f4 f5 f6 f7 f8 f9)
(λ (x) (f1 (f2 (f3 (f4 (f5 (f6 (f7 (f8 (f9 x)))))))))))
(define compose-3 (make-compose 3))
(define compose-4 (make-compose 4))
(define compose-5 (make-compose 5))
(define compose-6 (make-compose 6))
(define compose-7 (make-compose 7))
(define compose-8 (make-compose 8))
(define compose-9 (make-compose 9))
(module+ test
(test-case "compose-3 to compose-9"
@ -152,6 +106,7 @@
#`(multi-compose #,@rev-funcs)]))
(module+ test
(require racket/port)
(test-case "multi-chain and multi-compose"
(define f1 (λ ([x : Number]) (displayln "f1") (+ x 1)))
(define f2 (λ ([x : Number]) (displayln "f2") (+ x 1)))