globals [continue] turtles-own [mygoal in-nodes out-nodes current] patches-own [ isgoal obstacle ] to setup clear-all ask patches [ set isgoal 0 set obstacle 0 ;; set potential 0 ] ask patch max-pxcor max-pycor [set-goal] create-agents ;; set one goal reset-ticks end to reset ask patches [ ifelse obstacle = 1 [set-obstacle] [ifelse (isgoal = 1) [set-goal] [set pcolor black] ] ] ask turtles [die] create-agents end to createGoals ask patch 0 5 [set-goal] ask patch -4 -8 [set-goal] repeat 3 [ask patch random-pxcor random-pycor [set-goal]] end to set-obstacle set obstacle 1 if (isgoal = 1)[set isgoal 0] set pcolor red ;; set potential (- potential-level) end to set-goal set isgoal 1 if (obstacle = 1)[set obstacle 0] set pcolor yellow ;; set potential potential-level end to erase-obstacle set pcolor black set obstacle 0 ;; set potential 0 end to erase-potential ask patches [ ifelse obstacle = 1 [set-obstacle] [ifelse (isgoal = 1) [set-goal] [set pcolor black ;; set potential 0 ] ] ] ask turtles [die] end to create-agents let xorg -15 let yorg -15 create-turtles number-turtles [ set color orange set size 1.5 ifelse (number-turtles = 1) [ setxy xorg yorg ][ setxy random-xcor random-ycor ] set in-nodes [] set out-nodes [] set mygoal min-one-of patches with [isgoal = 1][distance self] set current init-current if (trace = true) [show (sentence "current node : " current "current goal " mygoal)] ] end ;;------------------------------------ ;; ;; search machine ;; ;;------------------------------------ ;; get the patch to-report get-patch [node] report first node end ;; get the value of the node to-report get-val [node] report item 1 node end to-report get-cost [node] report item 2 node end to-report get-parent [node] report item 3 node end to search while [get-patch current != mygoal] [ search-step ] print "Success!!" draw-path current end to search-step let new-nodes generate set in-nodes merge-nodes new-nodes in-nodes if (trace = true) [print (sentence "size in-nodes : " length in-nodes)] set in-nodes sort-nodes in-nodes if (trace = true) [print (sentence "sorted in-nodes: " length in-nodes ", " in-nodes)] let proposed first in-nodes if (proposed = [])[ stop ] set current proposed set in-nodes bf in-nodes set out-nodes (fput (get-patch current) out-nodes) ;; we only put patches in the out-nodes list if (trace = true) [show (sentence "current node : " current)] ask (get-patch current) [if (pcolor != green)[set pcolor blue]] end to-report generate let aset nobody set aset ([neighbors] of (get-patch current)) with [obstacle = 0] ifelse (any? aset) [ ask aset [if (pcolor = black)[set pcolor white]] let lst1 [self] of aset ;; transformer en listes... ;; show (sentence "aset : " lst1) set lst1 (remove-nodes lst1 out-nodes) ;; delete nodes which have already been visited let result map [ x -> make-node x current ] lst1 ;; make a list of nodes [patch value] report result ] [ show (sentence "blocked ;-) ") report [] ] end ;; NOTE: DEPENDS ON THE ALGORITHM to-report init-current ifelse Algorithm = "Dijkstra" [report (make-node1 patch-here 0 0 [])] [report (make-node1 patch-here distance-to-goal patch-here 0 [])] end ;; NOTE: DEPENDS ON THE ALGORITHM to-report make-node [p n] let r 0 ifelse Algorithm = "Dijkstra" [ set r (list p (1 + (get-val n)) 0 n) ][ let g 1 + get-cost n let h distance-to-goal p ;; Note: holds the cost and the parent. ;; Used by A* algorithm set r (make-node1 p h g n) ] report r end to-report make-node1 [p h c n] report (list p h c n) end to-report cost [node] ifelse (Algorithm = "Astar") [ ; report (get-val node) + (get-cost node) report (get-cost node) ][ report (get-val node) ] end to-report distance-to-goal [p] let r 0 set r [distance p] of mygoal ;; show (sentence "distance from " p " to " goal " = " r) report r end to-report sort-nodes [lst-nodes] ; let lst sort-by [(cost ?1) < (cost ?2)] lst-nodes let lst [] ifelse (Algorithm != "Astar") [ set lst sort-by [[x y] -> (get-val x) < (get-val y)] lst-nodes ] [ set lst sort-by [[x y] -> (get-val x)+ weight * (cost x) < (get-val y)+ weight * (cost y)] lst-nodes] ;; take the weight of the cost g (and not only the heuristic h*) into account if (lst = []) [ (show "pas de solution !!" ) report [] ] report lst end ;; crée une liste avec le min des couts... to-report merge-nodes [lst-new lst-ref] let res [] ;set lst-ref sort-by [(cost ?1) < (cost ?2)] lst-ref let lst map get-patch lst-ref while [lst-new != []] [ let node (first lst-new) let pos position (get-patch node) lst ifelse (pos = false)[ set res (fput node res) ][ let v 0 let g 0 let p current ifelse ((cost node) < (cost (item pos lst-ref))) [ set v get-val node set g get-cost node set p current ][ set v get-val (item pos lst-ref) set g get-cost (item pos lst-ref) if (Algorithm != "Best-first") [ set p get-parent (item pos lst-ref) ] ] ;; reconstruct the node set res (fput (make-node1 (get-patch node) v g p) res) ;; suppress the node from old list set lst-ref remove-item pos lst-ref set lst map get-patch lst-ref ] set lst-new (bf lst-new) ] set res (sentence res lst-ref) report res end to-report remove-nodes [lst ref-lst] let res [] while [lst != []] [ if not member? (first lst) ref-lst [ set res (fput (first lst) res) ] set lst (bf lst) ] report res end to draw-path [node] while [node != []] [ ask get-patch node [set pcolor green] set node get-parent node ] end ;;------------------------------------ ;; ;; Turtles ;; ;;------------------------------------- to search-turtles ask-concurrent turtles [search] tick end to step-turtles ask turtles [search-step] end ;;---------------------------------------- ;; ;; drawing ;; ;;---------------------------------------- to draw-goals if mouse-down? [ ask patches [ if ((abs (pxcor - mouse-xcor)) < 1) and ((abs (pycor - mouse-ycor)) < 1) [ set-goal]]] display end to draw-obstacles if mouse-down? [ ask patches [ if ((abs (pxcor - mouse-xcor)) < 1) and ((abs (pycor - mouse-ycor)) < 1) [ set-obstacle]]] display end to eraser if mouse-down? [ ask patches [ if ((abs (pxcor - mouse-xcor)) < 1) and ((abs (pycor - mouse-ycor)) < 1) [ erase-obstacle]]] display end @#$#@#$#@ GRAPHICS-WINDOW 262 10 762 511 -1 -1 12.0 1 12 1 1 1 0 0 0 1 -20 20 -20 20 0 0 1 ticks 30.0 BUTTON 8 13 104 46 NIL setup NIL 1 T OBSERVER NIL NIL NIL NIL 1 BUTTON 6 54 126 87 NIL search-turtles NIL 1 T OBSERVER NIL NIL NIL NIL 1 BUTTON 2 249 111 282 Draw Obstacles draw-obstacles T 1 T OBSERVER NIL NIL NIL NIL 1 BUTTON 3 296 113 329 Erase obstacles eraser T 1 T OBSERVER NIL NIL NIL NIL 1 SLIDER 4 145 144 178 number-turtles number-turtles 1 10 1.0 1 1 NIL HORIZONTAL BUTTON 132 53 237 86 NIL step-turtles NIL 1 T OBSERVER NIL NIL NIL NIL 1 BUTTON 121 250 221 283 Draw goals draw-goals T 1 T OBSERVER NIL NIL NIL NIL 1 BUTTON 133 12 196 45 NIL reset NIL 1 T OBSERVER NIL NIL NIL NIL 1 CHOOSER 7 190 145 235 Algorithm Algorithm "Best-first" "Dijkstra" "Astar" 1 SWITCH 150 190 240 223 Trace Trace 1 1 -1000 SLIDER 6 347 178 380 weight weight 0 1 0.55 0.01 1 NIL HORIZONTAL @#$#@#$#@ ## WHAT IS IT? A Generic search algorithm for A* (Astar), Dijkstra and 'best first' in a tile world (patch world as used in some games). ## HOW IT WORKS Use a generic algorithm where only a few variations makes the difference between A*, Dijskstra and best first. ## HOW TO USE IT Type 'reset' to start a new search without removing obstacles.. Setup clears all Draw obstacles (and click again to stop the process) Choose an algorithm (default is A*) Click on 'search-turtles' to get the whole search or 'step-turtle' to move forward one step at a time - Red patches are obstacles - Yellow patches are the goals - Blue patches are the one that have been visited by the engine - White patches are generated through the algorithm (neighbors of visited nodes) - Green patches form the path found by the algorithm ## THINGS TO NOTICE Notice the difference between those three algorithms. The difference lies in the make-node function, and in the evaluation function. *Note that the turtle does not move!* Exploration is done via the engine, but not through the behavior of a turtle. This is a "path planning" model and not a "space exploration" one. ## THINGS TO TRY Draw obstacles and goals as you wish... See how it works step by step... ## CREDITS AND REFERENCES (C) Jacques Ferber - wwww.lirmm.fr/~ferber - 2014 @#$#@#$#@ default true 0 Polygon -7500403 true true 150 5 40 250 150 205 260 250 airplane true 0 Polygon -7500403 true true 150 0 135 15 120 60 120 105 15 165 15 195 120 180 135 240 105 270 120 285 150 270 180 285 210 270 165 240 180 180 285 195 285 165 180 105 180 60 165 15 arrow true 0 Polygon -7500403 true true 150 0 0 150 105 150 105 293 195 293 195 150 300 150 box false 0 Polygon -7500403 true true 150 285 285 225 285 75 150 135 Polygon -7500403 true true 150 135 15 75 150 15 285 75 Polygon -7500403 true true 15 75 15 225 150 285 150 135 Line -16777216 false 150 285 150 135 Line -16777216 false 150 135 15 75 Line -16777216 false 150 135 285 75 bug true 0 Circle -7500403 true true 96 182 108 Circle -7500403 true true 110 127 80 Circle -7500403 true true 110 75 80 Line -7500403 true 150 100 80 30 Line -7500403 true 150 100 220 30 butterfly true 0 Polygon -7500403 true true 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