89 lines
2.0 KiB
Factor
89 lines
2.0 KiB
Factor
|
! Copyright (C) 2008 Eric Mertens.
|
||
|
! See http://factorcode.org/license.txt for BSD license.
|
||
|
USING: accessors arrays hints kernel locals math hashtables
|
||
|
assocs ;
|
||
|
|
||
|
IN: disjoint-sets
|
||
|
|
||
|
TUPLE: disjoint-set
|
||
|
{ parents hashtable read-only }
|
||
|
{ ranks hashtable read-only }
|
||
|
{ counts hashtable read-only } ;
|
||
|
|
||
|
<PRIVATE
|
||
|
|
||
|
: count ( a disjoint-set -- n )
|
||
|
counts>> at ; inline
|
||
|
|
||
|
: add-count ( p a disjoint-set -- )
|
||
|
[ count [ + ] curry ] keep counts>> swap change-at ; inline
|
||
|
|
||
|
: parent ( a disjoint-set -- p )
|
||
|
parents>> at ; inline
|
||
|
|
||
|
: set-parent ( p a disjoint-set -- )
|
||
|
parents>> set-at ; inline
|
||
|
|
||
|
: link-sets ( p a disjoint-set -- )
|
||
|
[ set-parent ] [ add-count ] 3bi ; inline
|
||
|
|
||
|
: rank ( a disjoint-set -- r )
|
||
|
ranks>> at ; inline
|
||
|
|
||
|
: inc-rank ( a disjoint-set -- )
|
||
|
ranks>> [ 1+ ] change-at ; inline
|
||
|
|
||
|
: representative? ( a disjoint-set -- ? )
|
||
|
dupd parent = ; inline
|
||
|
|
||
|
PRIVATE>
|
||
|
|
||
|
GENERIC: representative ( a disjoint-set -- p )
|
||
|
|
||
|
M: disjoint-set representative
|
||
|
2dup representative? [ drop ] [
|
||
|
[ [ parent ] keep representative dup ] 2keep set-parent
|
||
|
] if ;
|
||
|
|
||
|
<PRIVATE
|
||
|
|
||
|
: representatives ( a b disjoint-set -- r r )
|
||
|
[ representative ] curry bi@ ; inline
|
||
|
|
||
|
: ranks ( a b disjoint-set -- r r )
|
||
|
[ rank ] curry bi@ ; inline
|
||
|
|
||
|
:: branch ( a b neg zero pos -- )
|
||
|
a b = zero [ a b < neg pos if ] if ; inline
|
||
|
|
||
|
PRIVATE>
|
||
|
|
||
|
: <disjoint-set> ( -- disjoint-set )
|
||
|
H{ } clone H{ } clone H{ } clone disjoint-set boa ;
|
||
|
|
||
|
GENERIC: add-atom ( a disjoint-set -- )
|
||
|
|
||
|
M: disjoint-set add-atom
|
||
|
[ dupd parents>> set-at ]
|
||
|
[ 0 -rot ranks>> set-at ]
|
||
|
[ 1 -rot counts>> set-at ]
|
||
|
2tri ;
|
||
|
|
||
|
GENERIC: equiv-set-size ( a disjoint-set -- n )
|
||
|
|
||
|
M: disjoint-set equiv-set-size [ representative ] keep count ;
|
||
|
|
||
|
GENERIC: equiv? ( a b disjoint-set -- ? )
|
||
|
|
||
|
M: disjoint-set equiv? representatives = ;
|
||
|
|
||
|
GENERIC: equate ( a b disjoint-set -- )
|
||
|
|
||
|
M:: disjoint-set equate ( a b disjoint-set -- )
|
||
|
a b disjoint-set representatives
|
||
|
2dup = [ 2drop ] [
|
||
|
2dup disjoint-set ranks
|
||
|
[ swap ] [ over disjoint-set inc-rank ] [ ] branch
|
||
|
disjoint-set link-sets
|
||
|
] if ;
|