The Computer Language
22.05 Benchmarks Game

mandelbrot Lisp SBCL #4 program

source code

;;;   The Computer Language Benchmarks Game
;;;   https://salsa.debian.org/benchmarksgame-team/benchmarksgame/
;;;
;;;   by Jon Smith from GCC Mandelbrot version
;;;   does computation nearly the same as the GCC #4 version of the code.
;;;   
;;;   modified by Bela Pecsek
;;;
;;;   The code was based on GCC #4, however the threading was not as of gcc
;;;   resulting in severely under-utilised processes/CPU cores.
;;;   Threading changed to interleaved as of the gcc code to fully utilise all
;;;   8 logical CPU cores/processes during execution, resulting in some 50%
;;;   speedup in the calculation phase and some 30% reduction in the overall
;;;   exacution time of the program.


(setf sb-ext:*efficiency-note-cost-threshold* 1)
(setf sb-ext:*efficiency-note-limit* 8)

(setf sb-ext:*inline-expansion-limit* 1000)
(sb-int:set-floating-point-modes :traps (list :divide-by-zero))

(defpackage :vops
  (:use :cl))

(in-package :sb-vm)
(declaim (optimize (speed 3) (safety 0) (space 0) (debug 0)))

(eval-when (:load-toplevel :compile-toplevel :execute)
  #+x86-64(handler-bind ((simple-error (lambda (condition)
					 condition
					 (invoke-restart 'continue))))
          
	    (sb-c::defknown complex-double-float/sse-* ((complex double-float)
							(complex double-float))
		(complex double-float))
	    (sb-c::defknown cmple-movmskpd ((complex double-float)
					    (complex double-float))
		(unsigned-byte 32))

	    (define-vop (complex-double-float/sse-*)
	      (:policy :fast-safe)
	      (:translate complex-double-float/sse-*)
	      (:args (x :scs (complex-double-reg))
		     (y :scs (complex-double-reg)))
	      (:arg-types complex-double-float complex-double-float)
	      (:results (r :scs (complex-double-reg)))
	      (:result-types complex-double-float)
	      (:generator 2
			  (flet ((get-constant (tn)
				   (register-inline-constant
				    (tn-value tn))))
			    (cond ((location= x r)
				   (inst mulpd x y))
				  ((location= y r)
				   (inst mulpd y x))
				  ((not (location= r y))
				   (if (sc-is x fp-complex-double-immediate)
				       (inst movapd r (get-constant x))
				       (move r x))
				   (inst mulpd r y))))))

	    (macrolet ((generate (opinst test movmsk constant-sc load-inst)
			 `(flet ((get-constant (tn)
				   (register-inline-constant
				    ,@(and (eq constant-sc 'fp-single-immediate)
					   '(:aligned))
				    (tn-value tn))))
			    (declare (ignorable #'get-constant))
			    (cond
			      ((location= x r)
			       (when (sc-is y ,constant-sc)
				 (setf y (get-constant y)))
			       (inst ,opinst ,test x y)
			       (inst ,movmsk r x))
			      ((not (location= r y))
			       (if (sc-is x ,constant-sc)
				   (inst ,load-inst r (get-constant x))
				   (move tmp x))
			       (when (sc-is y ,constant-sc)
				 (setf y (get-constant y)))
			       (inst ,opinst ,test tmp y)
			       (inst ,movmsk r tmp))
			      (t
			       (if (sc-is x ,constant-sc)
				   (inst ,load-inst tmp (get-constant x))
				   (move tmp x))
			       (when (sc-is y ,constant-sc)
				 (setf y (get-constant y)))
			       (inst ,opinst ,test tmp y)
			       (inst ,movmsk r tmp)
			       ))))
		       (frob (test cdinst cdname cdcost)
			 `(progn
			    (define-vop (,cdname)
			      (:translate ,cdname)
			      (:policy :fast-safe)
			      (:args (x :scs (complex-double-reg))
				     (y :scs (complex-double-reg)))
			      (:arg-types complex-double-float
					  complex-double-float)
			      (:results (r :scs (unsigned-reg)))
			      (:result-types unsigned-num)
			      (:temporary (:sc complex-double-reg) tmp)
			      (:info)
			      (:generator ,cdcost
					  (generate ,cdinst ,test movmskpd
						    fp-complex-double-immediate
						    movapd))))))
	      (frob :le cmppd cmple-movmskpd 3)))

  #+x86-64(declaim (inline complex-double-float/sse-*))
  #+x86-64(declaim (inline cmple-movmskpd))
  (declaim (inline vops::calc-row vops::main))
  #+x86-64(declaim (inline vops::complex-double-float/sse-*))
  #+x86-64(declaim (inline vops::cmple-movmskpd)))

#+x86-64(defun vops::complex-double-float/sse-* (numbera numberb)
	    (declare (type (complex double-float) numbera numberb)
		     (optimize (speed 3) (safety 0) (space 0) (debug 0)))
	    (complex-double-float/sse-* numbera numberb))

#+x86-64(defun vops::cmple-movmskpd (numbera numberb)
	    (declare (type (complex double-float) numbera numberb)
		     (optimize (speed 3) (safety 0) (space 0) (debug 0)))
	    (cmple-movmskpd numbera numberb))

(in-package :vops)
(declaim (optimize (speed 3) (safety 0) (space 0) (debug 0)))
(eval-when (:load-toplevel :compile-toplevel :execute)
  (defmacro cbyte (form)
    (cond ((stringp form)
	   (map '(simple-array (unsigned-byte 8) (*)) #'char-code form))
	  ((characterp form)
	   (char-code form))
	  ((listp form)
	   `(map '(simple-array (unsigned-byte 8) (*)) #'char-code ,form))
	  )))

(defconstant +zero+ (complex 0.0d0 0.0d0))
(defconstant +four+ (complex 4.0d0 4.0d0))
(defconstant +workers+ 8)

#+x86-64(defmacro escapes? (n two-pixels  crv civ)
	  (let ((escaped (gensym "escaped"))
		(temp (gensym "temp"))
		(temp2 (gensym "temp2"))
		(zrv (gensym))
		(ziv (gensym))
		(trv (gensym))
		(tiv (gensym)))
	    `(let ((,zrv vops::+zero+)
		   (,ziv vops::+zero+)
		   (,trv vops::+zero+)
		   (,tiv vops::+zero+))
	       (block ,escaped 
		 ,@(nreverse (loop for i of-type fixnum from 0 below n
				collecting	   
				`(progn
				   (let* ((,temp (complex-double-float/sse-*
						  ,zrv ,ziv)))
				     (setf ,zrv (+ (- ,trv ,tiv) ,crv))
				     (setf ,trv (complex-double-float/sse-*
						 ,zrv ,zrv))
				     (setf ,ziv (+ ,temp ,temp ,civ))
				     (setf ,tiv (complex-double-float/sse-*
						 ,ziv ,ziv)))
				   (let ((,temp2 (+ ,trv ,tiv)))
				     (setf ,two-pixels (cmple-movmskpd
							,temp2 ,vops::+four+)))
				   (when (= ,two-pixels 0)
				     (return-from ,escaped)))))))))

#+x86(defmacro escapes? (n two-pixels crv civ)
       (let ((escaped (gensym "escaped"))
	     (zrv1 (gensym)) 
	     (zrv2 (gensym))
	     (ziv1 (gensym))
	     (ziv2 (gensym))
	     (trv1 (gensym))
	     (trv2 (gensym))
	     (tiv1 (gensym))
	     (tiv2 (gensym))
	     (crv1 (gensym))
	     (crv2 (gensym))
	     (civ1 (gensym))
	     (civ2 (gensym))
	     (temp (gensym))
	     (temp2 (gensym)))
	 `(let ((,zrv1 0.0d0)
		(,zrv2 0.0d0)
		(,ziv1 0.0d0)
		(,ziv2 0.0d0)
		(,trv1 0.0d0)
		(,trv2 0.0d0)
		(,tiv1 0.0d0)
		(,tiv2 0.0d0)
		(,crv1 (realpart ,crv))
		(,crv2 (imagpart ,crv))
		(,civ1 (realpart ,civ))
		(,civ2 (imagpart ,civ)))
	    (declare (type double-float
			   ,zrv1 ,zrv2 ,ziv1
			   ,ziv2 ,trv1 ,trv2
			   ,tiv1 ,tiv2 ,crv1
			   ,crv2 ,civ1 ,civ2))
	    (setf ,two-pixels 3)
	    (block ,escaped
	      ,@(nreverse (loop for i from 0 below n
			     collecting
			     `(progn 
				(let ((,temp (* ,zrv1 ,ziv1)))
				  (setf ,zrv1 (+ (- ,trv1 ,tiv1) ,crv1))
				  (setf ,trv1 (* ,zrv1 ,zrv1))
				  (setf ,ziv1 (+ ,temp ,temp ,civ1))
				  (setf ,tiv1 (* ,ziv1 ,ziv1)))
				(let ((,temp2 (+ ,trv1 ,tiv1)))
				  (when (> ,temp2 4.0d0)
				    (setf ,two-pixels (logxor ,two-pixels 1))
				    (return-from ,escaped)))))))
	    (block ,escaped
	      ,@(nreverse (loop for i from 0 below n
			     collecting
			     `(progn 
				(let ((,temp (* ,zrv2 ,ziv2)))
				  (setf ,zrv2 (+ (- ,trv2 ,tiv2) ,crv2))
				  (setf ,trv2 (* ,zrv2 ,zrv2))
				  (setf ,ziv2 (+ ,temp ,temp ,civ2))
				  (setf ,tiv2 (* ,ziv2 ,ziv2)))
				(let ((,temp2 (+ ,trv2 ,tiv2)))
				  (when (> ,temp2 4.0d0)
				    (setf ,two-pixels (logxor ,two-pixels 2))
				    (return-from ,escaped))))))))))

(defun vops::calc-row (y n bitmap bytes-per-row crvs inverse-h)
  (declare (optimize (speed 3) (safety 0) (space 0) (debug 0)))
  (declare (type fixnum y n bytes-per-row)
	   (type double-float inverse-h)
	   (type (simple-array (unsigned-byte 8) (*)) bitmap)
	   (type (simple-array (complex double-float) (*)) crvs))
  (let ((index (the fixnum (* bytes-per-row y)))
	(civ-init (complex
		   (the double-float (- (* y inverse-h) 1.0d0))
		   (the double-float (- (* y inverse-h) 1.0d0))))
	(bit 0)
	(code 0))
    (declare (type fixnum index bit)
	     (type (unsigned-byte 8) code))
    (loop for x of-type fixnum from 0 below n by 2
       do
       (let ((two-pixels 3))
	 (let ((crv (aref crvs (ash x -1)))
	       (civ civ-init))
	   (declare (type (complex double-float) crv civ)
		    (type fixnum two-pixels))
	   (escapes? 50 two-pixels crv civ))
	 (setf code (logior (ash code 2) two-pixels))
	 (when (= (incf bit) 4)
	   (setf (aref bitmap index) code
		 bit 0
		 code 0)
	   (incf index))))
    (values)))

  (defun vops::main ()
    (let* ((args sb-ext:*posix-argv*)
	   (n (parse-integer (or (second args) "16000")))
	   (bytes-per-row (ash (the fixnum (+ n 7)) -3))
	   (inverse-w (/ 2.0d0 (the fixnum (ash bytes-per-row 3))))
	   (inverse-h (/ 2.0d0 (the fixnum n)))
	   (crvs
	     (make-array (ash n -1) :element-type '(complex double-float))))
      (declare (type fixnum n bytes-per-row)
	       (type double-float inverse-h inverse-w)
	       (type (simple-array (complex double-float) (*)) crvs))
      (let ((bitmap
	     (make-array (* bytes-per-row n)
			 :initial-element 0
			 :element-type '(unsigned-byte 8))))
	(declare (type (simple-array (unsigned-byte 8) (*)) bitmap))
	(loop for i of-type fixnum from 0 below n by 2 
	   do (setf (aref crvs (ash i -1))
		    (complex (- (* (+ i 1.0d0) inverse-w) 1.5d0)
			     (- (* i inverse-w) 1.5d0))))
      	#-sb-thread
	(loop for y of-type from 0 below n
	   do (calc-row y n bitmap bytes-per-row crvs inverse-h))
	#+sb-thread ;; threaded inner loop changed to inderleaved from block
	(mapcar #'sb-thread:join-thread
		(loop for i of-type fixnum from 0 below +workers+
		      collecting (sb-thread:make-thread
				  (let ((i i))
				    (lambda ()
				      (loop for y of-type fixnum
					    from i below n by +workers+
					    do (calc-row y n
							 bitmap bytes-per-row
							 crvs inverse-h)))))))
	(with-open-file (stream #p"/dev/stdout"
				:direction :output
				:if-exists :append
				:element-type '(unsigned-byte 8))
	  (write-sequence (cbyte (format nil "P4~%~d ~d~%" n n)) stream)
	  (write-sequence bitmap stream)))
      (values)))

(declaim (inline ))
(in-package :cl-user)

(defun main ()
  (vops::main))
    

notes, command-line, and program output

NOTES:
64-bit Ubuntu quad core
SBCL 2.2.4


Thu, 05 May 2022 01:17:49 GMT

MAKE:
cp: 'mandelbrot.sbcl-4.sbcl' and './mandelbrot.sbcl-4.sbcl' are the same file
SBCL built with: /opt/src/sbcl-2.2.4/bin/sbcl --userinit /dev/null --batch --eval '(load "mandelbrot.sbcl-4.sbcl_compile")'
### START mandelbrot.sbcl-4.sbcl_compile
(handler-bind ((sb-ext:defconstant-uneql      (lambda (c) (abort c))))      (require :sb-concurrency)      (load (compile-file "mandelbrot.sbcl-4.sbcl" ))) (save-lisp-and-die "sbcl.core" :purify t)
### END mandelbrot.sbcl-4.sbcl_compile

; compiling file "/home/dunham/all-benchmarksgame/benchmarksgame_i53330/mandelbrot/tmp/mandelbrot.sbcl-4.sbcl" (written 18 MAY 2020 01:25:41 PM):

; file: /home/dunham/all-benchmarksgame/benchmarksgame_i53330/mandelbrot/tmp/mandelbrot.sbcl-4.sbcl
; in: DEFUN VOPS::COMPLEX-DOUBLE-FLOAT/SSE-*
;     (DEFUN VOPS::COMPLEX-DOUBLE-FLOAT/SSE-* (SB-VM::NUMBERA SB-VM::NUMBERB)
;       (DECLARE (TYPE (COMPLEX DOUBLE-FLOAT) SB-VM::NUMBERA SB-VM::NUMBERB)
;                (OPTIMIZE (SPEED 3) (SAFETY 0) (SPACE 0) (DEBUG 0)))
;       (SB-VM::COMPLEX-DOUBLE-FLOAT/SSE-* SB-VM::NUMBERA SB-VM::NUMBERB))
; --> SB-IMPL::%DEFUN SB-IMPL::%DEFUN SB-INT:NAMED-LAMBDA 
; ==>
;   #'(SB-INT:NAMED-LAMBDA VOPS::COMPLEX-DOUBLE-FLOAT/SSE-*
;         (SB-VM::NUMBERA SB-VM::NUMBERB)
;       (DECLARE (SB-C::TOP-LEVEL-FORM))
;       (DECLARE (TYPE (COMPLEX DOUBLE-FLOAT) SB-VM::NUMBERA SB-VM::NUMBERB)
;                (OPTIMIZE (SPEED 3) (SAFETY 0) (SPACE 0) (DEBUG 0)))
;       (BLOCK VOPS::COMPLEX-DOUBLE-FLOAT/SSE-*
;         (SB-VM::COMPLEX-DOUBLE-FLOAT/SSE-* SB-VM::NUMBERA SB-VM::NUMBERB)))
; 
; note: doing complex float to pointer coercion (cost 13) to "<return value>"

; in: DEFUN MAIN
;     (LAMBDA ()
;       (LOOP VOPS::FOR VOPS::Y VOPS::OF-TYPE FIXNUM VOPS::FROM VOPS::I VOPS::BELOW VOPS::N VOPS::BY VOPS::+WORKERS+
;             DO ...))
; 
; note: doing float to pointer coercion (cost 13), for:
;       the second argument of CLOSURE-INIT

; in: DEFUN MAIN
;     (VOPS::MAIN)
; --> BLOCK LET* LET MAPCAR 
; ==>
;   1
; 
; note: doing float to pointer coercion (cost 13), for:
;       the second argument of CLOSURE-INIT
; 
; compilation unit finished
;   printed 3 notes


; wrote /home/dunham/all-benchmarksgame/benchmarksgame_i53330/mandelbrot/tmp/mandelbrot.sbcl-4.fasl
; compilation finished in 0:00:03.868
### START mandelbrot.sbcl-4.sbcl_run
(main) (quit)
### END mandelbrot.sbcl-4.sbcl_run


6.44s to complete and log all make actions

COMMAND LINE:
/opt/src/sbcl-2.2.4/bin/sbcl  --noinform --core sbcl.core --userinit /dev/null --load mandelbrot.sbcl-4.sbcl_run 16000

(BINARY) PROGRAM OUTPUT NOT SHOWN