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typesetting/csp/search.rkt

93 lines
3.8 KiB
Racket

#lang racket/base
(require racket/class racket/match)
(provide (all-defined-out))
(define Problem
;; The abstract class for a formal problem. You should subclass this and
;; implement the method successor, and possibly __init__, goal_test, and
;; path_cost. Then you will create instances of your subclass and solve them
;; with the various search functions.
(class object%
(super-new)
(init-field initial [goal #f])
;; The constructor specifies the initial state, and possibly a goal
;; state, if there is a unique goal. Your subclass's constructor can add
;; other arguments.
(abstract successor)
;; Given a state, return a sequence of (action, state) pairs reachable
;; from this state. If there are many successors, consider an iterator
;; that yields the successors one at a time, rather than building them
;; all at once. Iterators will work fine within the framework.
(define/public (goal_test state)
;; Return True if the state is a goal. The default method compares the
;; state to self.goal, as specified in the constructor. Implement this
;; method if checking against a single self.goal is not enough.
(and (equal? state goal) #t))
(define/public (path_cost c state1 action state2)
;; Return the cost of a solution path that arrives at state2 from
;; state1 via action, assuming cost c to get up to state1. If the problem
;; is such that the path doesn't matter, this function will only look at
;; state2. If the path does matter, it will consider c and maybe state1
;; and action. The default method costs 1 for every step in the path.
(add1 c))
(abstract value)
;; For optimization problems, each state has a value. Hill-climbing
;; and related algorithms try to maximize this value.
))
(require describe)
(define Node
#| A node in a search tree. Contains a pointer to the parent (the node
that this is a successor of) and to the actual state for this node. Note
that if a state is arrived at by two paths, then there are two nodes with
the same state. Also includes the action that got us to this state, and
the total path_cost (also known as g) to reach the node. Other functions
may add an f and h value; see best_first_graph_search and astar_search for
an explanation of how the f and h values are handled. You will not need to
subclass this class.
|#
(class* object% (printable<%>)
(super-new)
(init-field state [parent #f] [action #f] [path_cost 0])
(field [depth (if parent (add1 (get-field depth parent)) 0)])
;; Create a search tree Node, derived from a parent by an action.
(define (repr) (format "<Node ~v>" (get-field state this)))
(define/public (custom-print out quoting-depth) (print (repr) out))
(define/public (custom-display out) (displayln (repr) out))
(define/public (custom-write out) (write (repr) out))
(define/public (path)
;; Create a list of nodes from the root to this node.
(define parent (get-field parent this))
(cons this (if (not parent)
null
(send parent path))))
(define/public (expand problem)
;; Return a list of nodes reachable from this node.
(for/list ([action-state-pair (in-list (send problem successor state))])
(match-define (cons act next) action-state-pair)
(new Node [state next][parent this][action act]
[path_cost (send problem path_cost path_cost state act next)])))
))
(module+ main
(require racket/format)
(define gp (new Node [state 'grandparent]))
(define p (new Node [state 'parent][parent gp]))
(get-field state p)
(get-field depth p)
(define c (new Node [state 'child] [parent p]))
(get-field depth c)
(send c path))