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