factor/extra/astar/astar.factor

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2010-03-06 02:48:39 -05:00
! Copyright (C) 2010 Samuel Tardieu.
! See http://factorcode.org/license.txt for BSD license.
USING: accessors arrays assocs heaps kernel math math.order sequences sets shuffle ;
IN: astar
! This implements the A* algorithm. See http://en.wikipedia.org/wiki/A*
<PRIVATE
TUPLE: astar neighbours heuristic cost
goal g origin in-open-set in-closed-set open-set ;
: (add-to-open-set) ( h node astar -- )
2dup in-open-set>> at* [ over open-set>> heap-delete ] [ drop ] if
[ swapd open-set>> heap-push* ] [ in-open-set>> set-at ] 2bi ;
: add-to-open-set ( node astar -- )
[ g>> at ] 2keep
[ [ goal>> ] [ heuristic>> call( n1 n2 -- c ) ] bi + ] 2keep
(add-to-open-set) ;
: ?add-to-open-set ( node astar -- )
2dup in-closed-set>> key? [ 2drop ] [ add-to-open-set ] if ;
: move-to-closed-set ( node astar -- )
[ in-closed-set>> conjoin ] [ in-open-set>> delete-at ] 2bi ;
: get-first ( astar -- node )
[ open-set>> heap-pop drop dup ] [ move-to-closed-set ] bi ;
: set-g ( origin g node astar -- )
[ [ origin>> set-at ] [ g>> set-at ] bi-curry bi-curry bi* ] [ ?add-to-open-set ] 2bi ;
: cost-through ( origin node astar -- cost )
[ cost>> call( n1 n2 -- c ) ] [ nip g>> at ] 3bi + ;
: ?set-g ( origin node astar -- )
[ cost-through ] 3keep [ swap ] 2dip
3dup g>> at [ 1/0. ] unless* > [ 4drop ] [ set-g ] if ;
: build-path ( target astar -- path )
[ over ] [ over [ [ origin>> at ] keep ] dip ] produce 2nip reverse ;
: handle ( node astar -- )
dupd [ neighbours>> call( node -- neighbours ) ] keep [ ?set-g ] curry with each ;
: (find-path) ( astar -- path/f )
dup open-set>> heap-empty? [
drop f
] [
[ get-first ] keep 2dup goal>> = [ build-path ] [ [ handle ] [ (find-path) ] bi ] if
] if ;
: (init) ( from to astar -- )
swap >>goal
H{ } clone >>g
H{ } clone >>origin
H{ } clone >>in-open-set
H{ } clone >>in-closed-set
<min-heap> >>open-set
[ 0 ] 2dip [ (add-to-open-set) ] [ g>> set-at ] 3bi ;
PRIVATE>
: find-path ( start target astar -- path/f )
[ (init) ] [ (find-path) ] bi ;
: <astar> ( neighbours cost heuristic -- astar )
astar new swap >>heuristic swap >>cost swap >>neighbours ;
: considered ( astar -- considered )
in-closed-set>> keys ;