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typesetting/xenomorph/xenomorph/redo/number.rkt

236 lines
9.3 KiB
Racket

#lang debug racket/base
(require "helper.rkt")
(provide (all-defined-out))
#|
approximates
https://github.com/mbutterick/restructure/blob/master/src/Number.coffee
|#
(define (unsigned->signed uint bits)
(define most-significant-bit-mask (arithmetic-shift 1 (sub1 bits)))
(- (bitwise-xor uint most-significant-bit-mask) most-significant-bit-mask))
(define (signed->unsigned sint bits)
(bitwise-and sint (arithmetic-shift 1 bits)))
(define (reverse-bytes bstr)
(apply bytes
(for/list ([b (in-bytes bstr (sub1 (bytes-length bstr)) -1 -1)])
b)))
(define (exact-if-possible x) (if (integer? x) (inexact->exact x) x))
(define system-endian (if (system-big-endian?) 'be 'le))
(define/pre-encode (xint-encode i val [port-arg (current-output-port)] #:parent [parent #f])
(unless (xint? i)
(raise-argument-error 'encode "xint instance" i))
(define-values (bound-min bound-max) (bounds i))
(unless (<= bound-min val bound-max)
(raise-argument-error 'encode (format "value that fits within ~a ~a-byte int (~a to ~a)" (if (xint-signed i) "signed" "unsigned") (xint-size i) bound-min bound-max) val))
(unless (or (not port-arg) (output-port? port-arg))
(raise-argument-error 'encode "output port or #f" port-arg))
(define port (if (output-port? port-arg) port-arg (open-output-bytes)))
(parameterize ([current-output-port port])
(define bs (for/fold ([bs null]
[val (exact-if-possible val)]
#:result bs)
([i (in-range (xint-size i))])
(values (cons (bitwise-and val #xff) bs) (arithmetic-shift val -8))))
(define res (apply bytes ((if (eq? (xint-endian i) 'be) values reverse) bs)))
(if port-arg (write-bytes res) res)))
(define/post-decode (xint-decode i [port-arg (current-input-port)] #:parent [parent #f])
(unless (xint? i)
(raise-argument-error 'decode "xint instance" i))
(define port (->input-port port-arg))
(parameterize ([current-input-port port])
(define bstr (read-bytes (xint-size i)))
(define bs ((if (eq? (xint-endian i) system-endian)
values
reverse-bytes) bstr))
(define uint (for/sum ([b (in-bytes bs)]
[i (in-naturals)])
(arithmetic-shift b (* 8 i))))
(if (xint-signed i) (unsigned->signed uint (bits i)) uint)))
(struct xnumber xbase () #:transparent)
(struct xint xnumber (size signed endian) #:transparent
#:methods gen:xenomorphic
[(define decode xint-decode)
(define encode xint-encode)
(define size (λ (i [item #f] #:parent [parent #f]) (xint-size i)))])
(define (+xint [size 2] #:signed [signed #true] #:endian [endian system-endian])
(unless (exact-positive-integer? size)
(raise-argument-error '+xint "exact positive integer" size))
(unless (memq endian '(le be))
(raise-argument-error '+xint "'le or 'be" endian))
(xint size signed endian))
(define (type-tag i)
(string->symbol
(string-append (if (xint-signed i) "" "u")
"int"
(number->string (bits i))
(if (> (xint-size i) 1) (symbol->string (xint-endian i)) ""))))
(define (bits i) (* (xint-size i) 8))
(define (bounds i)
(unless (xint? i)
(raise-argument-error 'bounds "integer instance" i))
;; 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 i))))]
[signed-min (sub1 (- signed-max))]
[delta (if (xint-signed i) 0 signed-min)])
(values (- signed-min delta) (- signed-max delta))))
(define int8 (+xint 1))
(define int16 (+xint 2))
(define int24 (+xint 3))
(define int32 (+xint 4))
(define uint8 (+xint 1 #:signed #f))
(define uint16 (+xint 2 #:signed #f))
(define uint24 (+xint 3 #:signed #f))
(define uint32 (+xint 4 #:signed #f))
(define int8be (+xint 1 #:endian 'be))
(define int16be (+xint 2 #:endian 'be))
(define int24be (+xint 3 #:endian 'be))
(define int32be (+xint 4 #:endian 'be))
(define uint8be (+xint 1 #:signed #f #:endian 'be))
(define uint16be (+xint 2 #:signed #f #:endian 'be))
(define uint24be (+xint 3 #:signed #f #:endian 'be))
(define uint32be (+xint 4 #:signed #f #:endian 'be))
(define int8le (+xint 1 #:endian 'le))
(define int16le (+xint 2 #:endian 'le))
(define int24le (+xint 3 #:endian 'le))
(define int32le (+xint 4 #:endian 'le))
(define uint8le (+xint 1 #:signed #f #:endian 'le))
(define uint16le (+xint 2 #:signed #f #:endian 'le))
(define uint24le (+xint 3 #:signed #f #:endian 'le))
(define uint32le (+xint 4 #:signed #f #:endian 'le))
(module+ test
(require rackunit)
(check-exn exn:fail:contract? (λ () (+xint '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 ([i (+xint 2 #:signed #f #:endian 'le)]
[ip (open-input-bytes (bytes 1 2 3 4))]
[op (open-output-bytes)])
(check-equal? (decode i ip) 513) ;; 1000 0000 0100 0000
(check-equal? (decode i ip) 1027) ;; 1100 0000 0010 0000
(encode i 513 op)
(check-equal? (get-output-bytes op) (bytes 1 2))
(encode i 1027 op)
(check-equal? (get-output-bytes op) (bytes 1 2 3 4)))
(let ([i (+xint 2 #:signed #f #:endian 'be)]
[ip (open-input-bytes (bytes 1 2 3 4))]
[op (open-output-bytes)])
(check-equal? (decode i ip) 258) ;; 0100 0000 1000 0000
(check-equal? (decode i ip) 772) ;; 0010 0000 1100 0000
(encode i 258 op)
(check-equal? (get-output-bytes op) (bytes 1 2))
(encode i 772 op)
(check-equal? (get-output-bytes op) (bytes 1 2 3 4)))
(check-equal? (size (+xint 1)) 1)
(check-equal? (size (+xint)) 2)
(check-equal? (size (+xint 4)) 4)
(check-equal? (size (+xint 8)) 8)
(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)))
(define/post-decode (xfloat-decode xf [port-arg (current-input-port)] #:parent [parent #f])
(unless (xfloat? xf)
(raise-argument-error 'decode "xfloat instance" xf))
(define bs (read-bytes (xfloat-size xf) (->input-port port-arg)))
(floating-point-bytes->real bs (eq? (xfloat-endian xf) 'be)))
(define/pre-encode (xfloat-encode xf val [port (current-output-port)] #:parent [parent #f])
(unless (xfloat? xf)
(raise-argument-error 'encode "xfloat instance" xf))
(unless (or (not port) (output-port? port))
(raise-argument-error 'encode "output port or #f" port))
(define res (real->floating-point-bytes val (xfloat-size xf) (eq? (xfloat-endian xf) 'be)))
(if port (write-bytes res port) res))
(struct xfloat xnumber (size endian) #:transparent
#:methods gen:xenomorphic
[(define decode xfloat-decode)
(define encode xfloat-encode)
(define size (λ (i [item #f] #:parent [parent #f]) (xfloat-size i)))])
(define (+xfloat [size 4] #:endian [endian system-endian])
(unless (exact-positive-integer? size)
(raise-argument-error '+xfloat "exact positive integer" size))
(unless (memq endian '(le be))
(raise-argument-error '+xfloat "'le or 'be" endian))
(xfloat size endian))
(define float (+xfloat 4))
(define floatbe (+xfloat 4 #:endian 'be))
(define floatle (+xfloat 4 #:endian 'le))
(define double (+xfloat 8))
(define doublebe (+xfloat 8 #:endian 'be))
(define doublele (+xfloat 8 #:endian 'le))
(define/post-decode (xfixed-decode xf [port-arg (current-input-port)] #:parent [parent #f])
(unless (xfixed? xf)
(raise-argument-error 'decode "xfixed instance" xf))
(define int (xint-decode xf port-arg))
(exact-if-possible (/ int (fixed-shift xf) 1.0)))
(define/pre-encode (xfixed-encode xf val [port (current-output-port)] #:parent [parent #f])
(unless (xfixed? xf)
(raise-argument-error 'encode "xfixed instance" xf))
(define int (exact-if-possible (floor (* val (fixed-shift xf)))))
(xint-encode xf int port))
(struct xfixed xint (fracbits) #:transparent
#:methods gen:xenomorphic
[(define decode xfixed-decode)
(define encode xfixed-encode)
(define size (λ (i [item #f] #:parent [parent #f]) (xint-size i)))])
(define (+xfixed [size 2] #:signed [signed #true] #:endian [endian system-endian] [fracbits (/ (* size 8) 2)])
(unless (exact-positive-integer? size)
(raise-argument-error '+xfixed "exact positive integer" size))
(unless (exact-positive-integer? fracbits)
(raise-argument-error '+xfixed "exact positive integer" fracbits))
(unless (memq endian '(le be))
(raise-argument-error '+xfixed "'le or 'be" endian))
(xfixed size signed endian fracbits))
(define (fixed-shift xf)
(arithmetic-shift 1 (xfixed-fracbits xf)))
(define fixed16 (+xfixed 2))
(define fixed16be (+xfixed 2 #:endian 'be))
(define fixed16le (+xfixed 2 #:endian 'le))
(define fixed32 (+xfixed 4))
(define fixed32be (+xfixed 4 #:endian 'be))
(define fixed32le (+xfixed 4 #:endian 'le))
(module+ test
(define bs (encode fixed16be 123.45 #f))
(check-equal? bs #"{s")
(check-equal? (ceiling (* (decode fixed16be bs) 100)) 12345.0))