i was looking at implementing the bfs in scheme to solve the 8 puzzle problem, this is the code i have so far (giving some error im unable to debug)::
;;some operators for defining the strucuture (define blank 'blank) (define depth 0)(define path-cost 0) (define nw 0) (define n 1) (define ne 2) (define w 3) (define c 4) (define e 5) (define sw 6) (define s 7) (define se 8) (define left 'left) (define right 'right) (define up 'up) (define down 'down) ;;the function to make a node (define make-node (lambda (state parent operator depth path-cost) (list state parent operator depth path-cost))) (define expand-procedure (lambda (curr rest) (append rest (gen-nodes curr (valid-moves (car curr)))))) (define gen-nodes (lambda (node moves) (cond [(null? moves) '()] [else (letrec ((gen-states (lambda (node operator moves) (if (pair? moves) (cons (make-node (operator (car node)) (append (car node) (car (cdr node))) operator (+ 1 (car(cdr(cdr(cdr node))))) 1) (gen-states node (car moves) (cdr moves))) (make-node (operator (car node)) (append (car node) (car (cdr node))) operator (+ 1 (car(cdr(cdr(cdr node))))) 1))))) (gen-states node (car moves) (cdr moves)))]))) (define not-visited-parent (lambda (list new) (if (pair? list) (if (eqv? new (car list)) #f (not-visited (cdr list) new)) (if (eqv? new list) #f #t)))) (define not-visited-other (lambda (list new) (if (pair? list) (if (eqv? new (car (car list))) #f (not-visited (cdr list) new)) (if (eqv? new (car list)) #f #t)))) (define find-blank (lambda (ls ref) (cond [(eq? ref 9) null] [(eq? (list-ref ls ref) 'blank) ref] [else (find-blank ls (+ ref 1))]))) ;;operators to move the blank (define left (lambda (state) (swap state (find-blank state 0) (- (find-blank state 0) 1)))) (define right (lambda (state) (swap state (find-blank state 0) (+ (find-blank state 0) 1)))) (define up (lambda (state) (swap state (find-blank state 0) (- (find-blank state 0) 3)))) (define down (lambda (state) (swap state (find-blank state 0) (+ (find-blank state 0) 3)))) ;set ref1 to value from ref 2 (define set-ref! (lambda (list ref1 value iter) (if (eqv? iter 9) '() (if (pair? list) (cons (if (eq? ref1 iter) value (list-ref list iter)) (set-ref! list ref1 value (+ iter 1))) (if (eq? ref1 iter) value (list-ref list iter)))))) (define swap (lambda (state ref1 ref2) (begin (define temp (list-ref state ref1)) (set! state (set-ref! state ref1 (list-ref state ref2) 0)) (set! state (set-ref! state ref2 temp 0)) state))) ;;returns the valid moves for the given state (define valid-moves (lambda (state) (case (find-blank state 0) ([0] (list right down)) ([1] (list left right down)) ([2] (list left down)) ([3] (list right up down)) ([4] (list left right up down)) ([5] (list left up down)) ([6] (list right up)) ([7] (list left right up)) ([8] (list left up)) (else '())))) ;;procedure to test if we have reached the goal state (define test-procedure (lambda (state) (if (eq? (car state) goal) #t #f))) ;;the general search procedure (define general-search (lambda (queue test-procedure expand-procedure limit num-runs output-procedure) (cond [(null? queue) #f] ;queue is empty - goal state not found - very very unlikely scenario - unless some bozo goes out of state space [(test-procedure (car queue)) (output-procedure num-runs (car queue))] ;reached goal state?? [(zero? limit) "Limit reached"] ;limit reached stop [else (general-search (expand-procedure (car queue) (cdr queue)) test-procedure expand-procedure (- limit 1) (+ num-runs 1) output-procedure)]))) (define output-procedure (lambda (num-runs node) (begin (display num-runs) (display "\n") (display (list-ref (car node) nw)) (display (list-ref (car node) n)) (display (list-ref (car node) ne)) (display "\n") (display (list-ref (car node) w)) (display (list-ref (car node) c)) (display (list-ref (car node) e)) (display "\n") (display (list-ref (car node) sw)) (display (list-ref (car node) s)) (display (list-ref (car node) se))))) ;;The test functions (define make-initial-state (lambda (nw n ne w c e sw s se) (list nw n ne w c e sw s se))) (define make-goal-state (lambda (nw n ne w c e sw s se) (list nw n ne w c e sw s se))) (define test-uninformed-search (lambda (init goal limit) (begin (define queue (list (make-node init '() '() 0 1))) (general-search queue test-procedure expand-procedure limit 0 output-procedure)))) (define init (make-initial-state 1 2 3 4 5 6 7 blank 8)) (define goal (make-goal-state 1 2 3 4 5 6 7 8 blank)) (test-uninformed-search init goal 2000)