implemented Fold, unfold & map

This commit is contained in:
stibear 2014-02-11 05:06:05 +09:00
parent 270f5aa8f0
commit 4e00cfc86a
1 changed files with 148 additions and 14 deletions

View File

@ -9,16 +9,16 @@
(cons b a))
(define (cons* x . args)
(let rec ((acm '()) (x x) (lst args))
(let rec ((acc '()) (x x) (lst args))
(if (null? lst)
(append-reverse acm x)
(rec (cons x acm) (car lst) (cdr lst)))))
(append-reverse acc x)
(rec (cons x acc) (car lst) (cdr lst)))))
(define (list-tabulate n init-proc)
(let rec ((acm '()) (n (- n 1)))
(let rec ((acc '()) (n (- n 1)))
(if (zero? n)
(cons n acm)
(rec (cons n acm) (- n 1)))))
(cons n acc)
(rec (cons n acc) (- n 1)))))
(define (circular-list elt . args)
(let ((lst (cons elt args)))
@ -32,11 +32,11 @@
(let ((start (if (pair? lst) (car lst) 0))
(step (if (and (pair? lst) (pair? (cdr lst)))
(cadr lst) 1)))
(let rec ((count (- count 1)) (acm '()))
(let rec ((count (- count 1)) (acc '()))
(if (zero? count)
(cons start acm)
(cons start acc)
(rec (- count 1)
(cons (+ start (* count step)) acm))))))
(cons (+ start (* count step)) acc))))))
(export cons list xcons make-list list-tabulate list-copy circular-list iota)
@ -199,11 +199,11 @@
(apply append! lists))
(define (reverse! list)
(let rec ((lst list) (acm '()))
(let rec ((lst list) (acc '()))
(if (null? lst)
acm
acc
(let ((rst (cdr lst)))
(set-cdr! lst acm)
(set-cdr! lst acc)
(rec rst lst)))))
(define (append-reverse rev-head tail)
@ -264,7 +264,142 @@
;; append-map append-map!
;; map! pair-for-each filter-map map-in-order
(export map for-each)
;; means for inter-referential definition
(define every #f)
(define (fold kons knil clist . clists)
(if (null? clists)
(let rec ((acc knil) (clist clist))
(if (null? clist)
acc
(rec (kons (car clist) acc) (cdr clist))))
(let rec ((acc knil) (clists (cons clist clists)))
(if (every pair? clists)
(rec (apply kons (append (map car clists) (list acc)))
(map cdr clists))
acc))))
(define (fold-right kons knil clist . clists)
(if (null? clists)
(let rec ((clist clist) (cont values))
(if (null? clist)
(cont knil)
(rec (cdr clist) (lambda (x) (cont (kons (car clist) x))))))
(let rec ((clists (cons clist clists)) (cont values))
(if (every pair? clists)
(rec (map cdr clists)
(lambda (x)
(cont (apply kons (append (map car clists) (list x))))))
(cont knil)))))
(define (pair-fold kons knil clist . clists)
(if (null? clists)
(let rec ((acc knil) (clist clist))
(if (null? clist)
acc
(let ((tail (cdr clist)))
(rec (kons clist acc) tail))))
(let rec ((acc knil) (clists (cons clist clists)))
(if (every pair? clists)
(let ((tail (map cdr clists)))
(rec (apply kons (append clists (list acc)))
tail))
acc))))
(define (pair-fold-right kons knil clist . clists)
(if (null? clists)
(let rec ((clist clist) (cont values))
(if (null? clist)
(cont knil)
(let ((tail (map cdr clists)))
(rec tail (lambda (x) (cont (kons clist x)))))))
(let rec ((clists (cons clist clists)) (cont values))
(if (every pair? clists)
(let ((tail (map cdr clists)))
(rec tail
(lambda (x)
(cont (apply kons (append clists (list x)))))))
(cont knil)))))
(define (reduce f ridentity list)
(if (null? list)
ridentity
(fold f (car list) (cdr list))))
(define (reduce-right f ridentity list)
(fold-right f ridentity list))
(define (unfold p f g seed . tail-gen)
(let ((tail-gen (if (null? tail-gen)
(lambda (x) '())
(car tail-gen))))
(let rec ((seed seed) (cont values))
(if (p seed)
(cont (tail-gen seed))
(rec (g seed) (lambda (x) (cont (cons (f seed) x))))))))
(define (unfold-right p f g seed . tail)
(let rec ((seed seed) (lst tail))
(if (p seed)
lst
(rec (g seed) (cons (f seed) lst)))))
(define (append-map f . clists)
(apply append (apply map f clists)))
(define (append-map! f . clists)
(apply append! (apply map f clists)))
(define pair-for-each #f)
(define (map! f list . lists)
(if (null? lists)
(pair-for-each (lambda (x) (set-car! x (f (car x)))) list)
(let rec ((list list) (lists lists))
(if (pair? list)
(let ((head (map car lists))
(rest (map cdr lists)))
(set-car! list (apply f (car list) head))
(rec (cdr list) tail)))))
list1)
(define (map-in-order f clist . clists)
(if (null? clists)
(let rec ((clist clist) (acc '()))
(if (null? clist)
(reverse acc)
(rec (cdr clist) (cons (f (car clist)) acc))))
(let rec ((clists (cons clist clists)) (acc '()))
(if (every pair? clists)
(rec (map cdr clists)
(cons* (apply f (map car clists)) acc))
(reverse acc)))))
(define (pair-for-each f clist . clists)
(if (null? clist)
(let rec ((clist clist))
(if (pair? clist)
(begin (f (car clist)) (rec (cdr clist)))))
(let rec ((clists (cons clist clists)))
(if (every pair? clists)
(begin (apply f (map car clists)) (rec (map cdr clists)))))))
(define (filter-map f clist . clists)
(if (null? clists)
(let rec ((clist clist) (cont values))
(if (null? clist)
(cont '())
(rec (cdr clist)
(let ((it (f (car clist))))
(if it
(lambda (x) (cont (cons it x)))
(lambda (x) (cont x)))))))))
(export map for-each
fold unfold pair-fold reduce
fold-right unfold-right pair-fold-right reduce-right
append-map append-map!
map! pair-for-each filter-map map-in-order)
;; # Filtering & partitioning
;; filter partition remove
@ -329,4 +464,3 @@
;; # Primitive side-effects
;; set-car! set-cdr!
(export set-car! set-cdr!))