combinators: Add on
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@ -1,4 +1,5 @@
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(define-module (radix combinators)
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(define-module (radix combinators)
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#:use-module (ice-9 curried-definitions)
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#:use-module (ice-9 match)
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#:use-module (ice-9 match)
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#:export (all-of
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#:export (all-of
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any-of
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any-of
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@ -7,37 +8,36 @@
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inclusive-disjoin
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inclusive-disjoin
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flip
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flip
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juxt
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juxt
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on
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partial
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partial
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swap))
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swap))
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(define (all-of pred)
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(define* ((all-of pred) lst)
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"Returns a procedure that takes a list LST and returns #t if every other
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"Returns a procedure that takes a list LST and returns #t if every other
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element of LST satisfies PRED."
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element of LST satisfies PRED."
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(lambda (lst) (null? (filter (negate pred) lst))))
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(null? (filter (negate pred) lst)))
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(define (any-of pred)
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(define* ((any-of pred) lst)
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"Returns a procedure that takes a list LST and returns #t if any element of
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"Returns a procedure that takes a list LST and returns #t if any element of
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LST satisfies PRED."
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LST satisfies PRED."
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(lambda (lst)
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(let loop ((lst lst))
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(let loop ((lst lst))
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(match
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(match
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('() #f)
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('() #f)
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((head . tail)
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((head . tail)
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(cond ((pred head) #t)
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(cond ((pred head) #t)
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(else (loop tail)))))))
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(else (loop tail))))))))
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(define (conjoin . predicates)
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(define* ((conjoin . predicates) args)
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"Returns a procedure that is the conjuction of every predicate in PREDICATES.
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"Returns a procedure that is the conjuction of every predicate in PREDICATES.
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The returned procedure takes an arbitrary number of arguments, and returns #t
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The returned procedure takes an arbitrary number of arguments, and returns #t
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if these arguments satisfy every other predicate in PREDICATES."
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if these arguments satisfy every other predicate in PREDICATES."
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(lambda args
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(if (null? predicates) #t
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(if (null? predicates) #t
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(match-let loop (((head-pred . tail-preds) predicates))
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(match-let loop (((head-pred . tail-preds) predicates))
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(cond ((null? tail-preds) (apply head-pred args))
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(cond ((null? tail-preds) (apply head-pred args))
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((apply head-pred args) (loop tail-preds))
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((apply head-pred args) (loop tail-preds))
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(else #f)))))
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(else #f))))))
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(define (disjoin . predicates)
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(define* ((disjoin . predicates) args)
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"Returns a procedure that is the disjunction of every predicate in PREDICATES.
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"Returns a procedure that is the disjunction of every predicate in PREDICATES.
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The returned procedure takes an arbitrary number of arguments, and returns #t if
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The returned procedure takes an arbitrary number of arguments, and returns #t if
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these arguments satisfy exactly one predicate in PREDICATES, and #f otherwise."
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these arguments satisfy exactly one predicate in PREDICATES, and #f otherwise."
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@ -46,38 +46,39 @@ The returned procedure takes an arbitrary number of arguments, and returns #t if
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((_) #t)
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((_) #t)
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(else #f))))
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(else #f))))
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(define (inclusive-disjoin . predicates)
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(define* ((inclusive-disjoin . predicates) args)
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"Returns a procedure that is the inclusive disjunction of every predicate in
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"Returns a procedure that is the inclusive disjunction of every predicate in
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PREDICATES. The returned procedure takes an arbitrary number of arguments, and
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PREDICATES. The returned procedure takes an arbitrary number of arguments, and
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returns #t if these arguments satifsy at least one predicate in PREDICATES, and
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returns #t if these arguments satifsy at least one predicate in PREDICATES, and
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#f otherwise."
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#f otherwise."
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(lambda args
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(if (null? predicates) #f
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(if (null? predicates) #f
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(match-let loop (((head-pred . tail-preds) predicates))
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(match-let loop (((head-pred . tail-preds) predicates))
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(cond ((null? tail-preds) (apply head-pred args))
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(cond ((null? tail-preds) (apply head-pred args))
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((not (apply head-pred args)) (loop tail-preds))
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((not (apply head-pred args)) (loop tail-preds))
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(else #f)))))
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(else #f))))))
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(define (partial proc . args)
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(define* ((partial proc . args) more-args)
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"Returns a procedure that receives MORE-ARGS applies PROC to the list
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"Returns a procedure that receives MORE-ARGS applies PROC to the list
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obtained by appending ARGS to MORE-ARGS."
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obtained by appending ARGS to MORE-ARGS."
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(lambda more-args (apply proc (append args more-args))))
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(apply proc (append args more-args)))
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(define (flip proc)
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(define* ((flip proc) args)
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"Returns a procedure that applies PROC to the reverse of ARGS."
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"Returns a procedure that applies PROC to the reverse of ARGS."
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(lambda args (apply proc (reverse args))))
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(apply proc (reverse args)))
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(define (swap proc)
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(define* ((swap proc) arg1 arg2 . args)
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"Returns a procedure that takes ARG1, ARG2 and optionally more args, and
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"Returns a procedure that takes ARG1, ARG2 and optionally more args, and
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applies PROC to the list obtained by cons*ing ARG2 ARG1 to ARG2 to the list
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applies PROC to the list obtained by cons*ing ARG2 ARG1 to ARG2 to the list
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of aditional arguments."
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of aditional arguments."
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(lambda (arg1 arg2 . args)
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(apply proc arg2 arg1 args))
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(apply proc arg2 arg1 args)))
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(define (juxt proc . more-procs)
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(define* ((juxt proc . more-procs) args)
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"Returns a procedure that is the juxtaposition of it's argument procedures.
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"Returns a procedure that is the juxtaposition of it's argument procedures.
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The returned procedure takes a variable number of args, and returns a list
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The returned procedure takes a variable number of args, and returns a list
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containing the result of applying each procedure to the args (left-to-right)."
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containing the result of applying each procedure to the args (left-to-right)."
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(lambda args
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(map (partial (flip apply) args)
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(map (partial (flip apply) args)
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(cons proc more-procs)))
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(cons proc more-procs))))
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(define* ((on proc1 proc2) . args)
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"Returns a procedure that applies PROC1 to the to the map of PROC2 to ARGS."
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(apply proc1 (map proc2 args)))
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