mandelbrot Racket #3 program
source code
#lang racket/base
;;; The Computer Language Benchmarks Game
;; https://salsa.debian.org/benchmarksgame-team/benchmarksgame/
;;; contributed by Eli Barzilay
(require racket/require racket/require-syntax (for-syntax racket/base))
(define-require-syntax overriding-in
(syntax-rules () [(_ R1 R2) (combine-in R2 (subtract-in R1 R2))]))
(require (overriding-in
racket/flonum
(filtered-in (lambda (name) (regexp-replace #rx"unsafe-" name ""))
racket/unsafe/ops))
racket/cmdline)
(define O (current-output-port))
(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-syntax (let-n stx)
(syntax-case stx ()
[(_ N bindings E)
(let loop ([N (syntax-e #'N)] [E #'E])
(if (zero? N) E (loop (sub1 N) #`(let bindings #,E))))]))
(define-syntax-rule (mandelbrot 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))])))
(fprintf O "P4\n~a ~a\n" N N)
(let loop-y ([y N])
(let ([Ci (fl- (fl* 2/N (fx->fl y)) 1.0)])
(let loop-x ([x 0] [bitnum 0] [byteacc 0])
(if (fx< x N)
(let* ([Cr (flvector-ref Crs x)]
[bitnum (fx+ bitnum 1)]
[byteacc (fx+ (fxlshift byteacc 1) (mandelbrot Cr Ci))])
(cond [(fx= bitnum 8)
(write-byte byteacc O)
(loop-x (fx+ x 1) 0 0)]
[else (loop-x (fx+ x 1) bitnum byteacc)]))
(begin (when (fx> bitnum 0)
(write-byte (fxlshift byteacc (fx- 8 (fxand N #x7))) O))
(when (fx> y 1) (loop-y (fx- y 1))))))))
notes, command-line, and program output
NOTES:
64-bit Ubuntu quad core
Racket v8.14 [cs].
Fri, 06 Sep 2024 18:52:47 GMT
MAKE:
make: *** No rule to make target 'mandelbrot.racket-3.racket_run'. Stop.
0.06s to complete and log all make actions
COMMAND LINE:
/opt/src/./racket-8.14/bin/racket mandelbrot.racket-3.racket 16000
(BINARY) PROGRAM OUTPUT NOT SHOWN