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typesetting/xenomorph/xenomorph/private/number.rkt

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Racket

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#lang racket/base
(require "racket.rkt")
(require "sizes.rkt" (for-syntax "sizes.rkt" racket/match))
(provide (all-defined-out))
#|
approximates
https://github.com/mbutterick/restructure/blob/master/src/Number.coffee
|#
(define (ends-with-8? type)
(define str (symbol->string type))
(equal? (substring str (sub1 (string-length str))) "8"))
(define (signed-type? type)
(not (equal? "u" (substring (symbol->string type) 0 1))))
(test-module
(check-false (signed-type? 'uint16))
(check-true (signed-type? 'int16)))
(define (exact-if-possible x) (if (integer? x) (inexact->exact x) x))
(define system-endian (if (system-big-endian?) 'be 'le))
(define-subclass xenomorph-base% (Integer [type 'uint16] [endian system-endian])
(getter-field [number-type (string->symbol (format "~a~a" type (if (ends-with-8? type) "" endian)))])
(define _signed? (signed-type? type))
;; `get-type-size` will raise error if number-type is invalid: use this as check of input
;; size of a number doesn't change, so we can stash it as `_size`
(define _size (with-handlers ([exn:fail:contract?
(λ (exn)
(raise-argument-error 'Integer "valid type and endian" (format "~v ~v" type endian)))])
(get-type-size number-type)))
(define bits (* _size 8))
(define/augment (size . args) _size)
(define-values (bound-min bound-max)
;; if a signed integer has n bits, it can contain a number between - (expt 2 (sub1 n)) and (sub1 (expt 2 (sub1 n)).
(let* ([signed-max (sub1 (arithmetic-shift 1 (sub1 bits)))]
[signed-min (sub1 (- signed-max))]
[delta (if _signed? 0 signed-min)])
(values (- signed-min delta) (- signed-max delta))))
(define/augment (decode port [parent #f])
(define bstr (read-bytes _size port))
(define bs ((if (eq? endian system-endian) identity reverse) (bytes->list bstr)))
(define unsigned-int (for/sum ([(b i) (in-indexed bs)])
(arithmetic-shift b (* 8 i))))
unsigned-int)
(define/override (post-decode unsigned-val . _)
(if _signed? (unsigned->signed unsigned-val bits) unsigned-val))
(define/override (pre-encode val . _)
(exact-if-possible val))
(define/augment (encode port val [parent #f])
(unless (<= bound-min val bound-max)
(raise-argument-error 'Integer:encode (format "value within range of ~a ~a-byte int (~a to ~a)" (if _signed? "signed" "unsigned") _size bound-min bound-max) val))
(define-values (bs _) (for/fold ([bs empty] [n val])
([i (in-range _size)])
(values (cons (bitwise-and n #xff) bs) (arithmetic-shift n -8))))
(apply bytes ((if (eq? endian 'be) identity reverse) bs))))
(define-values (NumberT NumberT? +NumberT) (values Integer Integer? +Integer))
(define-values (Number Number? +Number) (values Integer Integer? +Integer))
(define-subclass xenomorph-base% (Float _size [endian system-endian])
(define byte-size (/ _size 8))
(define/augment (decode port [parent #f]) ; convert int to float
(define bs (read-bytes byte-size port))
(floating-point-bytes->real bs (eq? endian 'be)))
(define/augment (encode port val [parent #f]) ; convert float to int
(define bs (real->floating-point-bytes val byte-size (eq? endian 'be)))
bs)
(define/augment (size . args) byte-size))
(define-instance float (make-object Float 32))
(define-instance floatbe (make-object Float 32 'be))
(define-instance floatle (make-object Float 32 'le))
(define-instance double (make-object Float 64))
(define-instance doublebe (make-object Float 64 'be))
(define-instance doublele (make-object Float 64 'le))
(define-subclass* Integer (Fixed size [fixed-endian system-endian] [fracBits (floor (/ size 2))])
(super-make-object (string->symbol (format "int~a" size)) fixed-endian)
(define _point (arithmetic-shift 1 fracBits))
(define/override (post-decode int . _)
(exact-if-possible (/ int _point 1.0)))
(define/override (pre-encode fixed . _)
(exact-if-possible (floor (* fixed _point)))))
(define-instance fixed16 (make-object Fixed 16))
(define-instance fixed16be (make-object Fixed 16 'be))
(define-instance fixed16le (make-object Fixed 16 'le))
(define-instance fixed32 (make-object Fixed 32))
(define-instance fixed32be (make-object Fixed 32 'be))
(define-instance fixed32le (make-object Fixed 32 'le))
(test-module
(check-exn exn:fail:contract? (λ () (+Integer 'not-a-valid-type)))
(check-exn exn:fail:contract? (λ () (encode uint8 256 #f)))
(check-not-exn (λ () (encode uint8 255 #f)))
(check-exn exn:fail:contract? (λ () (encode int8 256 #f)))
(check-exn exn:fail:contract? (λ () (encode int8 255 #f)))
(check-not-exn (λ () (encode int8 127 #f)))
(check-not-exn (λ () (encode int8 -128 #f )))
(check-exn exn:fail:contract? (λ () (encode int8 -129 #f)))
(check-exn exn:fail:contract? (λ () (encode uint16 (add1 #xffff) #f)))
(check-not-exn (λ () (encode uint16 #xffff #f)))
(let ([o (+Integer 'uint16 'le)]
[ip (open-input-bytes (bytes 1 2 3 4))]
[op (open-output-bytes)])
(check-equal? (send o decode ip) 513) ;; 1000 0000 0100 0000
(check-equal? (send o decode ip) 1027) ;; 1100 0000 0010 0000
(encode o 513 op)
(check-equal? (get-output-bytes op) (bytes 1 2))
(encode o 1027 op)
(check-equal? (get-output-bytes op) (bytes 1 2 3 4)))
(let ([o (+Integer 'uint16 'be)]
[ip (open-input-bytes (bytes 1 2 3 4))]
[op (open-output-bytes)])
(check-equal? (send o decode ip) 258) ;; 0100 0000 1000 0000
(check-equal? (send o decode ip) 772) ;; 0010 0000 1100 0000
(encode o 258 op)
(check-equal? (get-output-bytes op) (bytes 1 2))
(encode o 772 op)
(check-equal? (get-output-bytes op) (bytes 1 2 3 4))))
(test-module
(check-equal? (send (+Integer 'uint8) size) 1)
(check-equal? (send (+Integer) size) 2)
(check-equal? (send (+Integer 'uint32) size) 4)
(check-equal? (send (+Integer 'double) size) 8)
(check-equal? (send (+Number 'uint8) size) 1)
(check-equal? (send (+Number) size) 2)
(check-equal? (send (+Number 'uint32) size) 4)
(check-equal? (send (+Number 'double) size) 8))
;; use keys of type-sizes hash to generate corresponding number definitions
(define-macro (make-int-types)
(with-pattern ([((ID BASE ENDIAN) ...) (for*/list ([k (in-hash-keys type-sizes)]
[kstr (in-value (format "~a" k))]
#:unless (regexp-match #rx"^(float|double)" kstr))
(match-define (list* prefix suffix _)
(regexp-split #rx"(?=[bl]e|$)" kstr))
(map string->symbol
(list (string-downcase kstr)
prefix
(if (positive? (string-length suffix))
suffix
(if (system-big-endian?) "be" "le")))))]
[(ID ...) (suffix-id #'(ID ...) #:context caller-stx)])
#'(begin (define-instance ID (make-object Integer 'BASE 'ENDIAN)) ...)))
(make-int-types)
(test-module
(check-equal? (size uint8) 1)
(check-equal? (size uint16) 2)
(check-equal? (size uint32) 4)
(check-equal? (size double) 8)
(define bs (encode fixed16be 123.45 #f))
(check-equal? bs #"{s")
(check-equal? (ceiling (* (decode fixed16be bs) 100)) 12345.0)
(check-equal? (decode int8 (bytes 127)) 127)
(check-equal? (decode int8 (bytes 255)) -1)
(check-equal? (encode int8 -1 #f) (bytes 255))
(check-equal? (encode int8 127 #f) (bytes 127)))