661 lines
25 KiB
Racket
661 lines
25 KiB
Racket
#lang typed/racket
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;;; dds/functions
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;;; This modules provides some definitions for working with functions:
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;;; tabulating, (re)constructing from tables, generating random
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;;; functions, etc. Some definitions of particular kinds of functions
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;;; are also provided (threshold Boolean functions, etc.).
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(require "utils.rkt")
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(require "utils.rkt"
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syntax/parse/define typed/racket/stream
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(only-in typed/racket/unsafe unsafe-provide)
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(for-syntax syntax/parse))
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(require/typed racket/stream
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[stream-map (All (a b) (-> (-> a b) (Sequenceof a) (Sequenceof b)))])
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(provide
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pseudovariadic-lambda pvλ pseudovariadic-define pvdefine
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tabulate* tabulate*/strict tabulate*/pv tabulate tabulate/strict tabulate/pv
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tabulate*/pv/boolean tabulate/pv/boolean tabulate*/pv/01 tabulate/pv/01
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tabulate*/list tabulate/list
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tabulate*/list/boolean tabulate/list/boolean tabulate*/list/01 tabulate/list/01
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table->function/list table->unary-function table->function table->function/pv
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enumerate-boolean-tables enumerate-boolean-functions
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enumerate-boolean-functions/pv enumerate-boolean-functions/list
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random-boolean-table random-boolean-function random-boolean-function/list
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(struct-out tbf) TBF tbf-w tbf-θ boolean->01/vector apply-tbf apply-tbf/boolean
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list->tbf lists->tbfs read-org-tbfs tbf-tabulate* tbf-tabulate
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tbf-tabulate*/boolean sbf? sbf list->sbf read-org-sbfs)
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(module+ test
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(require typed/rackunit))
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(begin-for-syntax
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(require racket (for-syntax syntax/parse))
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(define (make-pseudovariadic-core args bodies tag-stx)
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(define nargs-stx (datum->syntax args (length (syntax->list args))))
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#`(λ xs
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(match xs
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[(list #,@args) #,@bodies]
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[_ (error #,tag-stx "invalid arity, expected ~a argument(s)" #,nargs-stx)])))
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(define (make-pseudovariadic-lambda stx)
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(syntax-parse stx
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[(_ (args:id ...) bodies:expr ...)
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(make-pseudovariadic-core #'(args ...)
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#'(bodies ...)
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(datum->syntax stx ''pseudovariadic-lambda))]))
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(define (make-pseudovariadic-define stx)
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(syntax-parse stx
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[(_ (name:id args:id ...) bodies:expr ...)
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#`(define name
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#,(make-pseudovariadic-core
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#'(args ...)
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#'(bodies ...)
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(datum->syntax #'name `(quote ,(syntax->datum #'name)))))])))
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(define-syntax (pseudovariadic-lambda stx) (make-pseudovariadic-lambda stx))
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(define-syntax (pvλ stx) (make-pseudovariadic-lambda stx))
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(module+ test
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(test-case "pseudovariadic-lambda")
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(check-false ((pseudovariadic-lambda (x y) (and x y)) #t #f))
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(check-false ((pvλ (x y) (and x y)) #t #f))
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(check-exn exn:fail? (λ () ((pseudovariadic-lambda (x y) (and x y)) #t #f #f)))
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(check-exn exn:fail? (λ () ((pvλ (x y) (and x y)) #t #f #f))))
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(define-syntax (pseudovariadic-define stx) (make-pseudovariadic-define stx))
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(define-syntax (pvdefine stx) (make-pseudovariadic-define stx))
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(module+ test
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(test-case "pseudovariadic-define")
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(: f (-> Boolean * Boolean))
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(pseudovariadic-define (f x y) (and x y))
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(check-false (f #t #f))
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(check-exn exn:fail? (λ () (f #t #f #f)))
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(: g (-> Boolean * Boolean))
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(pvdefine (g x y) (and x y))
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(check-false (g #t #f))
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(check-exn exn:fail? (λ () (g #t #f #f))))
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(define-syntax-parse-rule (make-tabulate* name:id row-op:id apply-op:id)
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(define (name funcs doms)
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(for/list ([xs (in-list (apply cartesian-product doms))])
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(row-op xs (for/list ([f funcs]) : (Listof b)
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(apply-op f xs))))))
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(: tabulate* (All (b a ... ) (-> (Listof (-> a ... b)) (List (Listof a) ... a)
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(Listof (Listof (U Any b))))))
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(make-tabulate* tabulate* append apply)
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(module+ test
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(test-case "tabulate*"
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(check-equal? (tabulate*
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(list (λ (x y) (and x y))
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(λ (x y) (or x y)))
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'((#f #t) (#f #t)))
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'((#f #f #f #f) (#f #t #f #t) (#t #f #f #t) (#t #t #t #t)))
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(check-equal? (tabulate* empty '((#f #t) (#f #t)))
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'((#f #f) (#f #t) (#t #f) (#t #t)))))
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(: tabulate*/strict (All (b a ...) (-> (Listof (-> a ... b)) (List (Listof a) ... a)
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(Listof (List (List a ...) (Listof b))))))
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(make-tabulate* tabulate*/strict list apply)
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(module+ test
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(test-case "tabulate*/strict"
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(check-equal? (tabulate*/strict
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(list (λ (x y) (and x y))
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(λ (x y) (or x y)))
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'((#f #t) (#f #t)))
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'(((#f #f) (#f #f)) ((#f #t) (#f #t)) ((#t #f) (#f #t)) ((#t #t) (#t #t))))))
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(: tabulate*/pv (All (a b) (-> (Listof (-> a * b)) (Listof (Listof a))
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(Listof (Listof (U a b))))))
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(make-tabulate* tabulate*/pv append apply)
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(module+ test
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(test-case "tabulate*/pv"
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(check-equal? (tabulate*/pv (list (pvλ (x y) (and x y))
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(pvλ (x y) (or x y)))
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'((#f #t) (#f #t)))
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'((#f #f #f #f) (#f #t #f #t) (#t #f #f #t) (#t #t #t #t)))))
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(define-syntax-parse-rule (simple-apply func:expr arg:expr)
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(func arg))
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(: tabulate*/list (All (a b) (-> (Listof (-> (Listof a) b)) (Listof (Listof a))
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(Listof (Listof (U a b))))))
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(make-tabulate* tabulate*/list append simple-apply)
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(module+ test
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(test-case "tabulate*/list"
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(check-equal? (tabulate*/list (list (λ ([xs : (Listof Boolean)])
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(and (car xs) (cadr xs)))
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(λ ([xs : (Listof Boolean)])
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(or (car xs) (cadr xs))))
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'((#f #t) (#f #t)))
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'((#f #f #f #f) (#f #t #f #t) (#t #f #f #t) (#t #t #t #t)))))
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(: tabulate (All (b a ...) (-> (-> a ... b) (List (Listof a) ... a)
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(Listof (Listof (U Any b))))))
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(define (tabulate func doms)
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(tabulate* (list func) doms))
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(module+ test
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(test-case "tabulate"
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(check-equal? (tabulate (λ (x y) (and x y)) '((#f #t) (#f #t)))
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'((#f #f #f) (#f #t #f) (#t #f #f) (#t #t #t)))))
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(: tabulate/strict (All (b a ...) (-> (-> a ... b) (List (Listof a) ... a)
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(Listof (List (List a ...) (Listof b))))))
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(define (tabulate/strict func doms)
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(tabulate*/strict (list func) doms))
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(module+ test
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(test-case "tabulate/strict"
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(check-equal? (tabulate/strict (λ (x y) (and x y)) '((#f #t) (#f #t)))
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'(((#f #f) (#f)) ((#f #t) (#f)) ((#t #f) (#f)) ((#t #t) (#t))))))
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(: tabulate/pv (All (a b) (-> (-> a * b) (Listof (Listof a))
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(Listof (Listof (U a b))))))
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(define (tabulate/pv func doms)
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(tabulate*/pv (list func) doms))
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(module+ test
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(test-case "tabulate/pv"
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(check-equal? (tabulate/pv (pvλ (x y) (and x y)) '((#f #t) (#f #t)))
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'((#f #f #f) (#f #t #f) (#t #f #f) (#t #t #t)))))
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(: tabulate/list (All (a b) (-> (-> (Listof a) b) (Listof (Listof a))
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(Listof (Listof (U a b))))))
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(define (tabulate/list func doms)
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(tabulate*/list (list func) doms))
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(module+ test
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(test-case "tabulate/list"
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(check-equal? (tabulate/list (λ ([xs : (Listof Boolean)])
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(and (car xs) (cadr xs)))
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'((#f #t) (#f #t)))
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'((#f #f #f) (#f #t #f) (#t #f #f) (#t #t #t)))))
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(: tabulate/pv/boolean (-> Positive-Integer (-> Boolean * Boolean) (Listof (Listof Boolean))))
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(define (tabulate/pv/boolean arity func)
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(tabulate/pv func (make-list arity '(#f #t))))
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(module+ test
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(test-case "tabulate/pv/boolean"
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(check-equal? (tabulate/pv/boolean 2 (pvλ (x y) (and x y)))
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'((#f #f #f) (#f #t #f) (#t #f #f) (#t #t #t)))))
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(: tabulate*/pv/boolean (-> Positive-Integer (Listof (-> Boolean * Boolean))
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(Listof (Listof Boolean))))
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(define (tabulate*/pv/boolean arity funcs)
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(tabulate*/pv funcs (make-list arity '(#f #t))))
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(module+ test
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(test-case "tabulate*/pv/boolean"
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(check-equal? (tabulate*/pv/boolean 2 (list (pvλ (x y) (and x y))
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(pvλ (x y) (or x y))))
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'((#f #f #f #f) (#f #t #f #t) (#t #f #f #t) (#t #t #t #t)))))
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(: tabulate/pv/01 (-> Positive-Integer (-> (U Zero One) * (U Zero One))
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(Listof (Listof (U Zero One)))))
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(define (tabulate/pv/01 arity func)
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(tabulate/pv func (make-list arity '(0 1))))
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(module+ test
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(test-case "tabulate/pv/01"
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(check-equal? (tabulate/pv/01 2 (pvλ (x y)
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(assert-type (modulo (+ x y) 2) (U Zero One))))
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'((0 0 0) (0 1 1) (1 0 1) (1 1 0)))))
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(: tabulate*/pv/01 (-> Positive-Integer (Listof (-> (U Zero One) * (U Zero One)))
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(Listof (Listof (U Zero One)))))
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(define (tabulate*/pv/01 arity funcs)
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(tabulate*/pv funcs (make-list arity '(0 1))))
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(module+ test
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(test-case "tabulate*/pv/01"
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(check-equal? (tabulate*/pv/01 2 `(,(pvλ (x y) (assert-type (min x y) (U Zero One)))
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,(pvλ (x y) (assert-type (max x y) (U Zero One)))))
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'((0 0 0 0) (0 1 0 1) (1 0 0 1) (1 1 1 1)))))
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(: tabulate/list/boolean (-> Positive-Integer (-> (Listof Boolean) Boolean)
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(Listof (Listof Boolean))))
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(define (tabulate/list/boolean arity func)
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(tabulate/list func (make-list arity '(#f #t))))
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(module+ test
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(test-case "tabulate/list/boolean"
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(check-equal? (tabulate/list/boolean 2 (λ (xs) (and (car xs) (cadr xs))))
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'((#f #f #f) (#f #t #f) (#t #f #f) (#t #t #t)))))
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(: tabulate*/list/boolean (-> Positive-Integer (Listof (-> (Listof Boolean) Boolean))
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(Listof (Listof Boolean))))
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(define (tabulate*/list/boolean arity funcs)
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(tabulate*/list funcs (make-list arity '(#f #t))))
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(module+ test
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(test-case "tabulate*/list/boolean"
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(check-equal?
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(tabulate*/list/boolean 2 (list (λ (xs) (and (car xs) (cadr xs)))
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(λ (xs) (or (car xs) (cadr xs)))))
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'((#f #f #f #f) (#f #t #f #t) (#t #f #f #t) (#t #t #t #t)))))
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(: tabulate/list/01 (-> Positive-Integer (-> (Listof (U Zero One)) (U Zero One))
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(Listof (Listof (U Zero One)))))
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(define (tabulate/list/01 arity func)
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(tabulate/list func (make-list arity '(0 1))))
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(module+ test
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(test-case "tabulate/list/01"
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(check-equal?
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(tabulate/list/01 2 (λ (xs)
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(assert-type (modulo (+ (car xs) (cadr xs)) 2) (U Zero One))))
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'((0 0 0) (0 1 1) (1 0 1) (1 1 0)))))
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(: tabulate*/list/01 (-> Positive-Integer (Listof (-> (Listof (U Zero One)) (U Zero One)))
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(Listof (Listof (U Zero One)))))
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(define (tabulate*/list/01 arity funcs)
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(tabulate*/list funcs (make-list arity '(0 1))))
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(module+ test
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(test-case "tabulate*/list/01"
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(check-equal? (tabulate*/list/01
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2
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`(,(λ (xs) (assert-type (min (car xs) (cadr xs)) (U Zero One)))
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,(λ (xs) (assert-type (max (car xs) (cadr xs)) (U Zero One)))))
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'((0 0 0 0) (0 1 0 1) (1 0 0 1) (1 1 1 1)))))
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(: table->function/list (All (a) (-> (Listof (Listof a))
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(-> (Listof a) a))))
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(define (table->function/list table)
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(table->unary-function
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(for/list ([line (in-list table)]) : (Listof (List (Listof a) a))
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(define-values (ins out) (split-at-right line 1))
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(list ins (car out)))))
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(module+ test
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(test-case "table->function/list"
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(define negation/list (table->function/list '((#t #f) (#f #t))))
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(check-true (negation/list '(#f)))
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(check-false (negation/list '(#t)))))
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(: table->unary-function (All (a b) (-> (Listof (List a b)) (-> a b))))
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(define (table->unary-function table)
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(define ht-tab
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(for/hash ([line (in-list table)]) : (HashTable a b)
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(values (car line) (cadr line))))
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(λ (x) (hash-ref ht-tab x)))
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(module+ test
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(test-case "table->unary-function"
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(define unary-negation (table->unary-function '((#t #f) (#f #t))))
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(check-false (unary-negation #t))
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(check-true (unary-negation #f))))
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(: table->function (All (a) (-> (Listof (Listof a)) (-> a * a))))
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(define (table->function table)
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(define func (table->function/list table))
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(λ args (func args)))
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(module+ test
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(test-case "table->function"
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(define negation (table->function '((#t #f) (#f #t))))
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(check-true (negation #f))
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(check-false (negation #t))))
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(: table->function/pv (All (a) (-> (Listof (Listof a)) (-> a * a))))
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(define (table->function/pv table)
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(define func (table->function/list table))
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(define arity (- (length (car table)) 1))
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(λ xs
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(if (= arity (length xs))
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(func xs)
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(error 'pseudovariadic-lambda
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"invalid arity, expected ~a argument(s)"
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arity))))
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(module+ test
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(test-case "table->function/pv"
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(define negation (table->function/pv '((#t #f) (#f #t))))
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(check-true (negation #f))
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(check-false (negation #t))
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(check-exn exn:fail? (λ () (negation #f #t)))))
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(: enumerate-boolean-tables (-> Positive-Integer (Sequenceof (Listof (Listof Boolean)))))
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(define (enumerate-boolean-tables n)
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(define inputs (boolean-power n))
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(define outputs (boolean-power/stream (assert-type (expt 2 n) Integer)))
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(: append-outputs (-> (Listof (Listof Boolean)) (Listof Boolean)
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(Listof (Listof Boolean))))
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(define (append-outputs ins outs)
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(for/list ([row ins] [o outs]) (append row (list o))))
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(: yield (-> (Sequenceof (Listof Boolean)) (Sequenceof (Listof (Listof Boolean)))))
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(define (yield rest-outputs)
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(if (stream-empty? rest-outputs)
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(stream)
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(stream-cons (append-outputs inputs (stream-first rest-outputs))
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(yield (stream-rest rest-outputs)))))
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(yield outputs))
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(module+ test
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(test-case "enumerate-boolean-tables"
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(check-equal? (stream->list (enumerate-boolean-tables 2))
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'(((#f #f #f) (#f #t #f) (#t #f #f) (#t #t #f))
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((#f #f #f) (#f #t #f) (#t #f #f) (#t #t #t))
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((#f #f #f) (#f #t #f) (#t #f #t) (#t #t #f))
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((#f #f #f) (#f #t #f) (#t #f #t) (#t #t #t))
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((#f #f #f) (#f #t #t) (#t #f #f) (#t #t #f))
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((#f #f #f) (#f #t #t) (#t #f #f) (#t #t #t))
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((#f #f #f) (#f #t #t) (#t #f #t) (#t #t #f))
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((#f #f #f) (#f #t #t) (#t #f #t) (#t #t #t))
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((#f #f #t) (#f #t #f) (#t #f #f) (#t #t #f))
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((#f #f #t) (#f #t #f) (#t #f #f) (#t #t #t))
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((#f #f #t) (#f #t #f) (#t #f #t) (#t #t #f))
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((#f #f #t) (#f #t #f) (#t #f #t) (#t #t #t))
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((#f #f #t) (#f #t #t) (#t #f #f) (#t #t #f))
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((#f #f #t) (#f #t #t) (#t #f #f) (#t #t #t))
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((#f #f #t) (#f #t #t) (#t #f #t) (#t #t #f))
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((#f #f #t) (#f #t #t) (#t #f #t) (#t #t #t))))))
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(: enumerate-boolean-functions (-> Positive-Integer (Sequenceof (-> Boolean * Boolean))))
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(define (enumerate-boolean-functions n)
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(stream-map (inst table->function Boolean) (enumerate-boolean-tables n)))
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(module+ test
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(test-case "enumerate-boolean-functions"
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(define bool-f1 (stream-first (enumerate-boolean-functions 1)))
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(check-false (bool-f1 #f))
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(check-false (bool-f1 #t))))
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(: enumerate-boolean-functions/pv (-> Positive-Integer (Sequenceof (-> Boolean * Boolean))))
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(define (enumerate-boolean-functions/pv n)
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(stream-map (inst table->function/pv Boolean) (enumerate-boolean-tables n)))
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(module+ test
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(test-case "enumerate-boolean-functions/pv"
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(define bool-f1/pv (stream-first (enumerate-boolean-functions/pv 1)))
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(check-false (bool-f1/pv #f))
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(check-false (bool-f1/pv #t))
|
|
(check-exn exn:fail? (λ () (bool-f1/pv #f #f)))))
|
|
|
|
(: enumerate-boolean-functions/list
|
|
(-> Positive-Integer (Sequenceof (-> (Listof Boolean) Boolean))))
|
|
(define (enumerate-boolean-functions/list n)
|
|
(stream-map (inst table->function/list Boolean) (enumerate-boolean-tables n)))
|
|
|
|
(module+ test
|
|
(test-case "enumerate-boolean-functions/list"
|
|
(define bool-f1/list (stream-first (enumerate-boolean-functions/list 1)))
|
|
(check-false (bool-f1/list '(#f)))
|
|
(check-false (bool-f1/list '(#t)))))
|
|
|
|
(: random-boolean-table (-> Positive-Integer (Listof (Listof Boolean))))
|
|
(define (random-boolean-table n)
|
|
(define ins (boolean-power n))
|
|
(define outs (stream-take (in-random 2) (assert-type (expt 2 n) Nonnegative-Integer)))
|
|
(for/list ([i ins] [o outs])
|
|
(append i (list (if (= o 1) #t #f)))))
|
|
|
|
(module+ test
|
|
(test-case "random-boolean-table"
|
|
(random-seed 1)
|
|
(check-equal? (random-boolean-table 2)
|
|
'((#f #f #t)
|
|
(#f #t #t)
|
|
(#t #f #f)
|
|
(#t #t #t)))))
|
|
|
|
(: random-boolean-function (-> Positive-Integer (-> Boolean * Boolean)))
|
|
(define (random-boolean-function n)
|
|
(table->function (random-boolean-table n)))
|
|
|
|
(module+ test
|
|
(test-case "random-boolean-function"
|
|
(random-seed 1)
|
|
(define random-bool-f (random-boolean-function 2))
|
|
(check-true (random-bool-f #f #f))
|
|
(check-true (random-bool-f #f #t))
|
|
(check-false (random-bool-f #t #f))
|
|
(check-true (random-bool-f #t #t))))
|
|
|
|
(: random-boolean-function/list (-> Positive-Integer (-> (Listof Boolean) Boolean)))
|
|
(define (random-boolean-function/list n)
|
|
(table->function/list (random-boolean-table n)))
|
|
|
|
(module+ test
|
|
(test-case "random-boolean-function/list"
|
|
(random-seed 1)
|
|
(define random-bool-f/list (random-boolean-function/list 2))
|
|
(check-true (random-bool-f/list '(#f #f)))
|
|
(check-true (random-bool-f/list '(#f #t)))
|
|
(check-false (random-bool-f/list '(#t #f)))
|
|
(check-true (random-bool-f/list '(#t #t)))))
|
|
|
|
(struct tbf ([weights : (Vectorof Real)] [threshold : Real])
|
|
#:transparent #:type-name TBF)
|
|
(define tbf-w tbf-weights)
|
|
(define tbf-θ tbf-threshold)
|
|
|
|
(: boolean->01/vector (-> (Vectorof Boolean) (Vectorof (U Zero One))))
|
|
(define (boolean->01/vector bool-v)
|
|
(vector-map (λ (x) (any->01 x)) bool-v))
|
|
|
|
(module+ test
|
|
(test-case "boolean->01/vector"
|
|
(check-equal? (boolean->01/vector #(#t #f #f)) #(1 0 0))))
|
|
|
|
(: apply-tbf (-> TBF (Vectorof (U Zero One)) (U Zero One)))
|
|
(define (apply-tbf tbf inputs)
|
|
(any->01
|
|
(>
|
|
;; The scalar product between the inputs and the weights.
|
|
(for/sum ([x (in-vector inputs)]
|
|
[w (in-vector (tbf-w tbf))]) : Real
|
|
(* x w))
|
|
(tbf-θ tbf))))
|
|
|
|
(module+ test
|
|
(test-case "apply-tbf"
|
|
(define f1 (tbf #(2 -2) 1))
|
|
(check-equal? (tabulate/pv/01 2 (pvλ (x y) (apply-tbf f1 (vector x y))))
|
|
'((0 0 0) (0 1 0) (1 0 1) (1 1 0)))))
|
|
|
|
(: apply-tbf/boolean (-> TBF (Vectorof Boolean) Boolean))
|
|
(define (apply-tbf/boolean tbf inputs)
|
|
(01->boolean (apply-tbf tbf (boolean->01/vector inputs))))
|
|
|
|
(module+ test
|
|
(test-case "apply-tbf/boolean"
|
|
(define f1 (tbf #(2 -2) 1))
|
|
(check-equal? (tabulate/pv/boolean 2 (pvλ (x y) (apply-tbf/boolean f1 (vector x y))))
|
|
'((#f #f #f) (#f #t #f) (#t #f #t) (#t #t #f)))))
|
|
|
|
(: list->tbf (-> (Listof Real) TBF))
|
|
(define (list->tbf lst)
|
|
(define-values (w θ) (split-at-right lst 1))
|
|
(tbf (list->vector w) (car θ)))
|
|
|
|
(module+ test
|
|
(test-case "list->tbf"
|
|
(check-equal? (list->tbf '(1 2 3)) (tbf #(1 2) 3))))
|
|
|
|
(: lists->tbfs (-> (Listof (Listof Real)) (Listof TBF)))
|
|
(define (lists->tbfs lsts)
|
|
(map list->tbf lsts))
|
|
|
|
(module+ test
|
|
(test-case "read-tbfs"
|
|
(check-equal? (lists->tbfs '((1 2 3) (2 3 4)))
|
|
(list (tbf '#(1 2) 3) (tbf '#(2 3) 4)))))
|
|
|
|
(: read-org-tbfs (->* (String) (#:headers Boolean) (Listof TBF)))
|
|
(define (read-org-tbfs str #:headers [headers #f])
|
|
(define sexp (assert-type (read-org-sexp str) (Listof Any)))
|
|
(define sexp-clean (cond [headers (cdr sexp)] [else sexp]))
|
|
(lists->tbfs (assert-type sexp-clean (Listof (Listof Real)))))
|
|
|
|
(module+ test
|
|
(test-case "read-org-tbfs"
|
|
(check-equal? (read-org-tbfs "((1 2 1) (1 0 1))")
|
|
(list (tbf '#(1 2) 1) (tbf '#(1 0) 1)))))
|
|
|
|
(: tbf-tabulate* (-> (Listof TBF) (Listof (Listof (U Zero One)))))
|
|
(define (tbf-tabulate* tbfs)
|
|
(define funcs (for/list ([tbf tbfs])
|
|
: (Listof (-> (Listof (U Zero One)) (U Zero One)))
|
|
(λ ([in : (Listof (U Zero One))])
|
|
(apply-tbf tbf (list->vector in)))))
|
|
(define nvars (vector-length (tbf-w (car tbfs))))
|
|
(tabulate*/list funcs (make-list nvars '(0 1))))
|
|
|
|
(module+ test
|
|
(test-case "tbf-tabulate*"
|
|
(check-equal? (tbf-tabulate* (list (tbf #(2 2) 1) (tbf #(1 1) 1)))
|
|
'((0 0 0 0) (0 1 1 0) (1 0 1 0) (1 1 1 1)))))
|
|
|
|
(: tbf-tabulate (-> TBF (Listof (Listof (U Zero One)))))
|
|
(define (tbf-tabulate t)
|
|
(tbf-tabulate* (list t)))
|
|
|
|
(module+ test
|
|
(test-case "tbf-tabulate"
|
|
(check-equal? (tbf-tabulate (tbf #(1 2) 1))
|
|
'((0 0 0) (0 1 1) (1 0 0) (1 1 1)))))
|
|
|
|
(: tbf-tabulate*/boolean (-> (Listof TBF) (Listof (Listof Boolean))))
|
|
(define (tbf-tabulate*/boolean tbfs)
|
|
(define funcs (for/list ([tbf tbfs])
|
|
: (Listof (-> (Listof Boolean) Boolean))
|
|
(λ ([in : (Listof Boolean)])
|
|
(apply-tbf/boolean tbf (list->vector in)))))
|
|
(define nvars (vector-length (tbf-w (car tbfs))))
|
|
(tabulate*/list funcs (make-list nvars '(#f #t))))
|
|
|
|
(module+ test
|
|
(test-case "tbf-tabulate*/boolean"
|
|
(check-equal? (tbf-tabulate*/boolean (list (tbf #(1 2) 1)))
|
|
'((#f #f #f) (#f #t #t) (#t #f #f) (#t #t #t)))))
|
|
|
|
(: sbf? (-> TBF Boolean))
|
|
(define (sbf? t)
|
|
(= 0 (tbf-θ t)))
|
|
|
|
(module+ test
|
|
(test-case "sbf?"
|
|
(check-false (sbf? (tbf #(1 2) 3)))
|
|
(check-true (sbf? (tbf #(1 2) 0)))))
|
|
|
|
(: sbf (-> (Vectorof Real) TBF))
|
|
(define (sbf w)
|
|
(tbf w 0))
|
|
|
|
(module+ test
|
|
(test-case "sbf"
|
|
(check-equal? (sbf #(1 -1)) (tbf '#(1 -1) 0))))
|
|
|
|
(: list->sbf (-> (Listof Real) TBF))
|
|
(define (list->sbf lst) (sbf (list->vector lst)))
|
|
|
|
(module+ test
|
|
(test-case "list->sbf"
|
|
(check-equal? (list->sbf '(1 -1)) (tbf '#(1 -1) 0))))
|
|
|
|
(: read-org-sbfs (->* (String) (#:headers Boolean) (Listof TBF)))
|
|
(define (read-org-sbfs str #:headers [headers #f])
|
|
(define sexp (assert-type (read-org-sexp str) (Listof Any)))
|
|
(define sexp-clean (cond [headers (cdr sexp)] [else sexp]))
|
|
(map list->sbf (assert-type sexp-clean (Listof (Listof Real)))))
|
|
|
|
(module+ test
|
|
(test-case "read-org-sbfs"
|
|
(check-equal? (read-org-sbfs "((1 1) (1 -1))")
|
|
(list (tbf '#(1 1) 0) (tbf '#(1 -1) 0)))))
|
|
|
|
(module untyped racket
|
|
(module+ test
|
|
(require rackunit))
|
|
|
|
(provide
|
|
(contract-out [tabulate* (-> (listof procedure?) (listof (listof any/c))
|
|
(listof (listof any/c)))]
|
|
[tabulate (-> procedure? (listof (listof any/c))
|
|
(listof (listof any/c)))]
|
|
[tabulate/boolean (-> procedure? (listof (listof boolean?)))]
|
|
[tabulate*/boolean (-> (non-empty-listof procedure?)
|
|
(listof (listof boolean?)))]
|
|
[tabulate/01 (-> procedure? (listof (listof (or/c 0 1))))]
|
|
[tabulate*/01 (-> (non-empty-listof procedure?) (listof (listof (or/c 0 1))))]))
|
|
|
|
(define (tabulate* funcs doms)
|
|
(for/list ([xs (in-list (apply cartesian-product doms))])
|
|
(append xs (for/list ([f funcs])
|
|
(apply f xs)))))
|
|
|
|
(module+ test
|
|
(test-case "tabulate*"
|
|
(check-equal? (tabulate*
|
|
(list (λ (x y) (and x y))
|
|
(λ (x y) (or x y)))
|
|
'((#f #t) (#f #t)))
|
|
'((#f #f #f #f) (#f #t #f #t) (#t #f #f #t) (#t #t #t #t)))
|
|
(check-equal? (tabulate* empty '((#f #t) (#f #t)))
|
|
'((#f #f) (#f #t) (#t #f) (#t #t)))))
|
|
|
|
(define (tabulate func doms)
|
|
(tabulate* (list func) doms))
|
|
|
|
(module+ test
|
|
(test-case "tabulate"
|
|
(check-equal? (tabulate (λ (x y) (and x y)) '((#f #t) (#f #t)))
|
|
'((#f #f #f) (#f #t #f) (#t #f #f) (#t #t #t)))))
|
|
|
|
(define (tabulate/boolean func)
|
|
(tabulate func (make-list (procedure-arity func) '(#f #t))))
|
|
|
|
(module+ test
|
|
(test-case "tabulate/boolean"
|
|
(check-equal? (tabulate/boolean (lambda (x y) (and x y)))
|
|
'((#f #f #f) (#f #t #f) (#t #f #f) (#t #t #t)))))
|
|
|
|
(define (tabulate*/boolean funcs)
|
|
(define doms (make-list (procedure-arity (car funcs)) '(#f #t)))
|
|
(tabulate* funcs doms))
|
|
|
|
(module+ test
|
|
(test-case "tabulate*/boolean"
|
|
(check-equal? (tabulate*/boolean `(,(λ (x y) (and x y))
|
|
,(λ (x y) (or x y))))
|
|
'((#f #f #f #f) (#f #t #f #t) (#t #f #f #t) (#t #t #t #t)))))
|
|
|
|
(define (tabulate/01 func)
|
|
(tabulate func (make-list (procedure-arity func) '(0 1))))
|
|
|
|
(module+ test
|
|
(test-case "tabulate/01"
|
|
(check-equal? (tabulate/01 (λ (x y) (modulo (+ x y) 2)))
|
|
'((0 0 0) (0 1 1) (1 0 1) (1 1 0)))))
|
|
|
|
(define (tabulate*/01 funcs)
|
|
(tabulate* funcs (make-list (procedure-arity (car funcs)) '(0 1))))
|
|
|
|
(module+ test
|
|
(test-case "tabulate*/01"
|
|
(check-equal? (tabulate*/01 `(,(λ (x y) (min x y)) ,(λ (x y) (max x y))))
|
|
'((0 0 0 0) (0 1 0 1) (1 0 0 1) (1 1 1 1)))))
|
|
)
|