mandelbrot Racket #4 program
source code
#lang racket/base
;; The Computer Language Benchmarks Game
;; https://salsa.debian.org/benchmarksgame-team/benchmarksgame/
;; contributed by Eli Barzilay
;; parallelized by Sam Tobin-Hochstadt
(require racket/require (for-syntax racket/base) racket/future
(filtered-in (lambda (n) (regexp-replace #rx"unsafe-" n ""))
racket/unsafe/ops)
(only-in racket/flonum make-flvector)
racket/cmdline)
(define LIMIT-SQR 4.0)
(define ITERATIONS 50)
(define N (command-line #:args (n) (string->number n)))
(define N.0 (fx->fl N))
(define 2/N (fl/ 2.0 N.0))
(define Crs
(let ([v (make-flvector N)])
(for ([x (in-range N)])
(flvector-set! v x (fl- (fl/ (fx->fl (fx* 2 x)) N.0) 1.5)))
v))
(define bpr (ceiling (/ N 8)))
(define bitmap (make-bytes (* N bpr)))
(define-syntax (let-n s)
(syntax-case s ()
[(_ N bs E)
(for/fold ([E #'E]) ([_ (syntax-e #'N)]) #`(let bs #,E))]))
(define-syntax-rule (M Cr Ci)
(let loop ([i 0] [Zr 0.0] [Zi 0.0])
(cond [(fl> (fl+ (fl* Zr Zr) (fl* Zi Zi)) LIMIT-SQR) 0]
[(fx= i ITERATIONS) 1]
[else (let-n 5 ([Zr (fl+ (fl- (fl* Zr Zr) (fl* Zi Zi)) Cr)]
[Zi (fl+ (fl* 2.0 (fl* Zr Zi)) Ci)])
(loop (fx+ i 5) Zr Zi))])))
(printf "P4\n~a ~a\n" N N)
(for-each
touch
(for/list ([y (in-range N 0 -1)])
(future
(λ ()
(define Ci (fl- (fl* 2/N (fx->fl y)) 1.0))
(let loop-x ([x 0] [bitnum 0] [byteacc 0] [aindex (fx* bpr (fx- N y))])
(cond [(fx< x N)
(define Cr (flvector-ref Crs x))
(define byteacc* (fx+ (fxlshift byteacc 1) (M Cr Ci)))
(cond [(fx= bitnum 7)
(bytes-set! bitmap aindex byteacc*)
(loop-x (fx+ x 1) 0 0 (fx+ aindex 1))]
[else (loop-x (fx+ x 1) (fx+ bitnum 1) byteacc* aindex)])]
[else
(when (fx> bitnum 0)
(bytes-set! bitmap aindex
(fxlshift byteacc (fx- 8 (fxand N #x7)))))]))))))
(void (write-bytes bitmap))
notes, command-line, and program output
NOTES:
64-bit Ubuntu quad core
Racket v8.14 [cs].
Fri, 06 Sep 2024 18:46:20 GMT
MAKE:
make: *** No rule to make target 'mandelbrot.racket-4.racket_run'. Stop.
0.06s to complete and log all make actions
COMMAND LINE:
/opt/src/./racket-8.14/bin/racket mandelbrot.racket-4.racket 16000
(BINARY) PROGRAM OUTPUT NOT SHOWN