factor/basis/generalizations/generalizations.factor

117 lines
2.6 KiB
Factor

! Copyright (C) 2007, 2009 Chris Double, Doug Coleman, Eduardo
! Cavazos, Slava Pestov.
! See http://factorcode.org/license.txt for BSD license.
USING: kernel kernel.private sequences sequences.private math
combinators macros math.order math.ranges quotations fry effects
memoize.private arrays ;
IN: generalizations
<<
ALIAS: n*quot (n*quot)
: repeat ( n obj quot -- ) swapd times ; inline
>>
MACRO: nsum ( n -- )
1 - [ + ] n*quot ;
MACRO: npick ( n -- )
1 - [ dup ] [ '[ _ dip swap ] ] repeat ;
MACRO: nover ( n -- )
dup 1 + '[ _ npick ] n*quot ;
MACRO: ndup ( n -- )
dup '[ _ npick ] n*quot ;
MACRO: dupn ( n -- )
[ [ drop ] ]
[ 1 - [ dup ] n*quot ] if-zero ;
MACRO: nrot ( n -- )
1 - [ ] [ '[ _ dip swap ] ] repeat ;
MACRO: -nrot ( n -- )
1 - [ ] [ '[ swap _ dip ] ] repeat ;
MACRO: ndrop ( n -- )
[ drop ] n*quot ;
MACRO: nnip ( n -- )
'[ [ _ ndrop ] dip ] ;
MACRO: ndip ( n -- )
[ [ dip ] curry ] n*quot [ call ] compose ;
MACRO: nkeep ( n -- )
dup '[ [ _ ndup ] dip _ ndip ] ;
MACRO: ncurry ( n -- )
[ curry ] n*quot ;
MACRO: nwith ( n -- )
[ with ] n*quot ;
MACRO: nbi ( n -- )
'[ [ _ nkeep ] dip call ] ;
MACRO: ncleave ( quots n -- )
[ '[ _ '[ _ _ nkeep ] ] map [ ] join ] [ '[ _ ndrop ] ] bi
compose ;
MACRO: nspread ( quots n -- )
over empty? [ 2drop [ ] ] [
[ [ but-last ] dip ]
[ [ last ] dip ] 2bi
swap
'[ [ _ _ nspread ] _ ndip @ ]
] if ;
MACRO: spread* ( n -- )
[ [ ] ] [
[1,b) [ '[ [ [ _ ndip ] curry ] dip compose ] ] map [ ] concat-as
[ call ] compose
] if-zero ;
MACRO: nspread* ( m n -- )
[ drop [ ] ] [
[ * 0 ] [ drop neg ] 2bi
<range> rest >array dup length iota <reversed>
[
'[ [ [ _ ndip ] curry ] _ ndip ]
] 2map dup rest-slice [ [ compose ] compose ] map! drop
[ ] concat-as [ call ] compose
] if-zero ;
MACRO: cleave* ( n -- )
[ [ ] ]
[ 1 - [ [ [ keep ] curry ] dip compose ] n*quot [ call ] compose ]
if-zero ;
: napply ( quot n -- )
[ dupn ] [ spread* ] bi ; inline
: mnapply ( quot m n -- )
[ nip dupn ] [ nspread* ] 2bi ; inline
: apply-curry ( a... quot n -- )
[ [curry] ] dip napply ; inline
: cleave-curry ( a quot... n -- )
[ [curry] ] swap [ napply ] [ cleave* ] bi ; inline
: spread-curry ( a... quot... n -- )
[ [curry] ] swap [ napply ] [ spread* ] bi ; inline
MACRO: mnswap ( m n -- )
1 + '[ _ -nrot ] swap '[ _ _ napply ] ;
MACRO: nweave ( n -- )
[ dup iota <reversed> [ '[ _ _ mnswap ] ] with map ] keep
'[ _ _ ncleave ] ;
MACRO: nbi-curry ( n -- )
[ bi-curry ] n*quot ;