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