#lang racket/base (require racket/class racket/contract racket/match) (require sugar/container sugar/debug) (module+ test (require rackunit)) ;; Adapted from work by Gustavo Niemeyer #| # Copyright (c) 2005-2014 - Gustavo Niemeyer # # All rights reserved. # # Redistribution and use in source and binary forms, with or without # modification, are permitted provided that the following conditions are met: # # 1. Redistributions of source code must retain the above copyright notice, this # list of conditions and the following disclaimer. # 2. Redistributions in binary form must reproduce the above copyright notice, # this list of conditions and the following disclaimer in the documentation # and/or other materials provided with the distribution. # # THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" # AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE # IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE # DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE # FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL # DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR # SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER # CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, # OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE # OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |# (provide (all-defined-out)) ;(provide Problem Variable Domain Unassigned Solver BacktrackingSolver RecursiveBacktrackingSolver MinConflictsSolver Constraint FunctionConstraint AllDifferentConstraint AllEqualConstraint MaxSumConstraint ExactSumConstraint MinSumConstraint InSetConstraint NotInSetConstraint SomeInSetConstraint SomeNotInSetConstraint) ;(define Problem/c (λ(x) (is-a x Problem))) (define/contract Problem ;; Class used to define a problem and retrieve solutions (class/c [reset (->m void?)] ;; todo: tighten `object?` contracts [setSolver (object? . ->m . void?)] [getSolver (->m object?)] ;; todo: tighten `object?` contract [addVariable (any/c (or/c list? object?) . ->m . void?)] [getSolutions (->m list?)]) (class object% (super-new) (init-field [solver #f]) (field [_solver (or solver (new BacktrackingSolver))] [_constraints null] [_variables (make-hash)]) (define/public (reset) ;; Reset the current problem definition (set! _constraints null) (hash-clear! _variables)) (define/public (setSolver solver) ;; Change the problem solver currently in use (set! _solver solver)) (define/public (getSolver) ;; Obtain the problem solver currently in use _solver) (define/public (addVariable variable domain) ;; Add a variable to the problem (when (variable . in? . _variables) (error 'addVariable (format "Tried to insert duplicated variable ~a" variable))) (cond [(list? domain) (set! domain (new Domain [set domain]))] ;; todo: test for `instance-of-Domain?` ; how to copy domain? [(object? domain) (set! domain '(copy.copy domain))] [else (error 'addVariable "Domains must be instances of subclasses of Domain")]) (when (not (object? domain)) (error 'fudge)) (when (not domain) ; todo: check this test (error 'addVariable "Domain is empty")) (hash-set! _variables variable domain)) (define/public (addVariables variables domain) ;; Add one or more variables to the problem (for-each (λ(var) (addVariable var domain)) variables)) (define/public (getSolutions) ;; Find and return all solutions to the problem (define-values (domains constraints vconstraints) (_getArgs)) (if (not domains) null (send _solver getSolutions domains constraints vconstraints))) (define/public (_getArgs) (define domains (hash-copy _variables)) (define allvariables (hash-keys domains)) (define constraints null) (for ([constraint-variables-pair (in-list _constraints)]) (match-define (cons constraint variables) constraint-variables-pair) (when (not variables) (set! variables allvariables)) (set! constraints (append constraints (list (cons constraint variables))))) (define vconstraints (make-hash)) (for ([variable (in-hash-keys domains)]) (hash-set! vconstraints variable null)) (for ([constraint-variables-pair (in-list constraints)]) (match-define (cons constraint variables) constraint-variables-pair) (for ([variable (in-list variables)]) (hash-update! vconstraints variable (λ(val) (append val (list (cons constraint variables))))))) (for ([constraint-variables-pair (in-list constraints)]) (match-define (cons constraint variables) constraint-variables-pair) (send constraint preProcess variables domains constraints vconstraints)) (define result #f) (let/ec done (for ([domain (in-list (hash-values domains))]) (send domain resetState) (when (not domain) (set! result (list null null null)) (done))) (set! result (list domains constraints vconstraints))) (apply values result)) )) (module+ test (check-equal? (get-field _solver (new Problem [solver 'solver-in])) 'solver-in) (check-equal? (get-field _constraints (new Problem)) null) (check-equal? (get-field _variables (new Problem)) (make-hash)) (define problem (new Problem)) (send problem addVariable "a" '(1 2)) (check-equal? (get-field _list (hash-ref (get-field _variables problem) "a")) '(1 2)) (send problem reset) (check-equal? (get-field _variables problem) (make-hash)) (send problem addVariables '("a" "b") '(1 2 3)) (check-equal? (get-field _list (hash-ref (get-field _variables problem) "a")) '(1 2 3)) (check-equal? (get-field _list (hash-ref (get-field _variables problem) "b")) '(1 2 3)) (get-field _variables problem) (send problem getSolutions) ) ;; ---------------------------------------------------------------------- ;; Domains ;; ---------------------------------------------------------------------- (define Domain ;; Class used to control possible values for variables ;; When list or tuples are used as domains, they are automatically ;; converted to an instance of that class. (class object% (super-new) (init-field set) (field [_list set][_hidden null][_states null]) (define/public (resetState) ;; Reset to the original domain state, including all possible values (set! _list (append _list _hidden)) (set! _hidden null) (set! _states null)) )) ;; ---------------------------------------------------------------------- ;; Solvers ;; ---------------------------------------------------------------------- (define Solver ;; Abstract base class for solvers (class object% (super-new) (abstract getSolution) (abstract getSolutions) (abstract getSolutionIter))) (define BacktrackingSolver ;; Problem solver with backtracking capabilities (class Solver (super-new) (init-field [forwardCheck #t]) (define/override (getSolutionIter domains constraints vconstraints) ;; resume here (void)) (define/override (getSolution domains constraints vconstraints) ;; todo: repair this properly (car (getSolutions domains constraints vconstraints))) (define/override (getSolutions domains constraints vconstraints) (getSolutionIter domains constraints vconstraints)) )) (module+ main (define p (new Problem)) (define d (new Domain [set '(1 2)])) )