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combinators
Combinators grab-bag.
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Documentation
Section Combinators
Usage
(require-extension section-combinators)
FUNC a procedure.
left-section
- left-section FUNC ARG0 ...procedure
Returns a procedure that partially applies some of its arguments from the left.
ARG0 ... a prefix of the arguments for FUNC.
Returns a partially curried procedure.
right-section
- right-section FUNC ARG0 ...procedure
Returns a procedure that partially applies some of its arguments from the right.
ARG0 ... a suffix of the arguments for FUNC.
Returns a partially curried procedure.
crop-left
- crop-left FUNC Nprocedure
Returns a procedure that drops the N left arguments before applying FUNC.
crop-right
- crop-right FUNC Nprocedure
Returns a procedure that drops the N right arguments before applying FUNC.
reversed
- reversed FUNCprocedure
Returns a procedure that reverses the arguments before applying FUNC.
arguments-chain
- arguments-chain #!optional FUNC0...procedure
Returns a procedure that applies each FUNCi to result of the FUNCi+1. FUNCn is applied to the arguments.
Examples:
((arguments-chain f g h) arg...) -> (apply f (apply g (apply h arg...)))
((arguments-chain f) arg...) -> (apply f arg...)
((arguments-chain) arg...) -> (list arg...)
arguments-each
- arguments-each #!optional FUNC0...procedure
Returns a procedure that calls each FUNCi to the ARGi. The result is returned as a list. The FUNC0... are re-used until the argument list is exhausted.
Examples:
((arguments-each f g h) a b c d e) -> (list (f a) (g b) (h c) (f d) (g e))
((arguments-each f g h) a b c) -> (list (f a) (g b) (h c))
((arguments-each) arg...) -> (list arg...)
arguments-all
- arguments-all #!optional FUNC0...procedure
Returns a procedure that calls each FUNCi with all the arguments. The result is returned as a list.
Examples:
((arguments-all f g h) a b c) -> (list (f a b c) (g a b c) (h a b c))
((arguments-all) arg...) -> (list arg...)
Sort Combinators
Except for make-less-than/key and make-equal/key these are not combinators.
Usage
(require-extension sort-combinators)
Examples
(group/key identity '(1 2 3 3 4 4 4)) ;=> ((1) (2) (3 3) (4 4 4)) (group/key car '((a 1) (a 2) (b 1))) ;=> '(((a 1) (a 2)) ((b 1))) (sort '(("a" . 1) ("z" . 3) ("b" . 2)) (make-less-than/key first string-ci<?)) ;=> (("a" . 1) ("b" . 2) ("z" . 3))
group-by
- (group-by FUNC [EQUALITY equal?]) => procedureprocedure
Returns a procedure that takes a list and groups the elements by some key attribute. Uses the single-argument FUNC to retrieve key values & the EQUALITY function to compare them.
group/key
- (group/key FUNC LYST [EQUALITY equal?])procedure
Groups a LYST of elements by some key attribute. Uses the single-argument FUNC to retrieve key values & the EQUALITY function to compare them.
The LYST must be in sorted order with respect to the key!
Returns a list of grouped elements.
make-less-than/key
- (make-less-than/key FUNC [LESS-THAN <]) => {{procedure/2}}procedure
Returns a two-argument procedure that uses the single-argument FUNC to retrieve key values & the two-argument LESS-THAN procedure to compare them.
make-equal/key
- (make-equal/key FUNC [EQUAL =]) => {{procedure/2}}procedure
Returns a two-argument procedure that uses the single-argument FUNC to retrieve key values & the two-argument EQUAL procedure to compare them.
Logical Combinators
Usage
(require-extension logical-combinators)
andf
- andf OBJECT...procedure
Eager version of and.
Returns last (not #f) OBJECT when all OBJECT... are (not #f), #f otherwise.
orf
- orf OBJECT...procedure
Eager version of or.
Returns first (not #f) OBJECT, #f otherwise.
Uni Combinators
C is a function.
F, G and H are function.
Usage
(require-extension uni-combinators)
uni
- uni C Fprocedure
Returns (lambda (X) (C (F X))).
uni2
- uni2 C Fprocedure
Returns (lambda (X Y) (C (F X Y))).
uni3
- uni3 C Fprocedure
Returns (lambda (X Y Z) (C (F X Y Z))).
uni-each
- uni-each C Fprocedure
Same as uni.
uni-all
- uni-all C Fprocedure
Returns (lambda XS (C (apply F XS))).
Bi Combinators
Usage
(require-extension bi-combinators)
bi
- bi C F Gprocedure
Returns (lambda (X) (C (F X) (G X))).
bi2
- bi2 C F Gprocedure
Returns (lambda (X Y) (C (F X Y) (G X Y))).
bi3
- bi3 C F Gprocedure
Returns (lambda (X Y Z) (C (F X Y Z) (G X Y Z))).
bi-each
- bi-each C Fprocedure
Returns (lambda (X Y) (C (F X) (F Y))).
bi-all
- bi-all C F Gprocedure
Returns (lambda XS (C (apply F XS) (apply G XS))).
Tri Combinators
Usage
(require-extension tri-combinators)
tri
- tri C F G Hprocedure
Returns (lambda (X) (C (F X) (G X) (H X))).
tri2
- tri2 C F G Hprocedure
Returns (lambda (X Y) (C (F X Y) (G X Y) (H X Y))).
tri3
- tri3 C F G Hprocedure
Returns (lambda (X Y Z) (C (F X Y Z) (G X Y Z) (H X Y Z))).
tri-each
- tri-each C Fprocedure
Returns (lambda (X Y Z) (C (F X) (F Y) (F Z))).
tri-all
- tri-all C F G Hprocedure
Returns (lambda XS (C (apply F XS) (apply G XS) (apply H XS))).
Stack Combinators
These treat the argument list as a FORTH-like stack.
The utility is probably low.
Usage
(require-extension stack-combinators)
C is a function.
F, G and H are function.
X, Y and Z are object.
uni
- uni X F Cprocedure
Returns the result of (C (F X)).
uni2
- uni2 X Y F Cprocedure
Returns the result of (C (F X Y)).
uni3
- uni3 X Y Z F Cprocedure
Returns the result of (C (F X Y Z)).
uni@
- uni@ X F Cprocedure
Returns the result of (C (F X)).
- uni@ F Cprocedure
Returns a curried procedure.
bi
- bi X F G Cprocedure
Returns the result of (C (F X) (G X)).
bi2
- bi2 X Y F G Cprocedure
Returns the result of (C (F X Y) (G X Y)).
bi3
- bi3 X Y Z F G Cprocedure
Returns the result of (C (F X Y Z) (G X Y Z)).
bi@
- bi@ X Y F Cprocedure
Returns the result of (C (F X) (F Y)).
- bi@ F Cprocedure
Returns a curried procedure.
tri
- tri X F G H Cprocedure
Returns the result of (C (F X) (G X) (H X)).
- tri F G H Cprocedure
- tri F G Hprocedure
- tri Cprocedure
- triprocedure
Returns a curried procedure.
tri2
- tri2 X Y F G H Cprocedure
Returns the result of (C (F X Y) (G X Y) (H X Y)).
- tri2 F G H Cprocedure
- tri2 F G Hprocedure
- tri2 Cprocedure
- tri2procedure
Returns a curried procedure.
tri3
- tri3 X Y Z F G H Cprocedure
Returns the result of (C (F X Y Z) (G X Y Z) (H X Y Z)).
- tri3 F G H Cprocedure
- tri3 F G Hprocedure
- tri3 Cprocedure
- tri3procedure
Returns a curried procedure.
tri@
- tri@ X Y Z F Cprocedure
Returns the result of (C (F X) (F Y) (F Z)).
- tri@ F Cprocedure
Returns a curried procedure.
dip
- dip X Y F Cprocedure
Returns the result of (C (F X) Y).
- dip F Cprocedure
Returns a curried procedure.
dup
- dup X Cprocedure
Returns the result of (C X X).
- dup Cprocedure
Returns a curried procedure.
dupd
- dupd X Y Cprocedure
Returns the result of (C X X Y).
- dupd Cprocedure
Returns a curried procedure.
swap
- swap X Y Cprocedure
Returns the result of (C Y X).
- swap Cprocedure
Returns a curried procedure.
drop
- drop X Cprocedure
Returns the result of (C).
- drop Cprocedure
Returns a curried procedure.
drop/2
- drop/2 X Y Cprocedure
Returns the result of (C X).
- drop/2 Cprocedure
Returns a curried procedure.
Notes
- Inspired by e-mail conversations with Graham Fawcett in Feb '08.
- The procedures left-section and right-section from Philip L. Bewig.
Author
Version history
- 1.2.0
- Added uni/bi/tri-combinators & more section-combinators.
- 1.1.0
- Added section-combinators.
- 1.0.0
- Chicken 4 release.
License
Public Domain.