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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
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/*REXX program displays a power set; items may be anything (but can't have blanks).*/
parse arg S /*allow the user specify optional set. */
if S='' then S= 'one two three four' /*Not specified? Then use the default.*/
@= '{}' /*start process with a null power set. */
N= words(S); do chunk=1 for N /*traipse through the items in the set.*/
@=@ combN(N, chunk) /*take N items, a CHUNK at a time. */
end /*chunk*/
w= length(2**N) /*the number of items in the power set.*/
do k=1 for words(@) /* [↓] show combinations, 1 per line.*/
say right(k, w) word(@, k) /*display a single combination to term.*/
end /*k*/
exit 0 /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
combN: procedure expose S; parse arg x,y; base= x + 1; bbase= base - y
!.= 0
do p=1 for y; !.p= p
end /*p*/
$= /* [↓] build powerset*/
do j=1; L=
do d=1 for y; L= L','word(S, !.d)
end /*d*/
$= $ '{'strip(L, "L", ',')"}"; !.y= !.y + 1
if !.y==base then if .combU(y - 1) then leave
end /*j*/
return strip($) /*return with a partial power set chunk*/
/*──────────────────────────────────────────────────────────────────────────────────────*/
.combU: procedure expose !. y bbase; parse arg d; if d==0 then return 1
p= !.d
do u=d to y; !.u= p + 1; if !.u==bbase+u then return .combU(u-1)
p= !.u /**/
end /*u*/ /*recurse──►───┘ */
return 0