The Computer Language
Benchmarks Game

n-body Lisp SBCL program

source code

;;   The Computer Language Benchmarks Game
;;; contributed by Patrick Frankenberger
;;; modified by Juho Snellman 2005-11-18
;;;   * About 40% speedup on SBCL, 90% speedup on CMUCL
;;;   * Represent a body as a DEFSTRUCT with (:TYPE VECTOR DOUBLE-FLOAT), a
;;;     not as a structure that contains vectors
;;;   * Inline APPLYFORCES
;;;   * Replace (/ DT DISTANCE DISTANCE DISTANCE) with
;;;     (/ DT (* DISTANCE DISTANCE DISTANCE)), as is done in the other
;;;     implementations of this test.
;;;   * Add a couple of declarations
;;;   * Heavily rewritten for style (represent system as a list instead of
;;;     an array to make the nested iterations over it less clumsy, use
;;;     INCF/DECF where appropriate, break very long lines, etc)

(defconstant +days-per-year+ 365.24d0)
(defconstant +solar-mass+ (* 4d0 pi pi))

(defstruct (body (:type (vector double-float))
                 (:conc-name nil)
                 (:constructor make-body (x y z vx vy vz mass)))
  x y z
  vx vy vz
(deftype body () '(vector double-float 7))

(defparameter *jupiter*
  (make-body 4.84143144246472090d0
             (* 1.66007664274403694d-3 +days-per-year+)
             (* 7.69901118419740425d-3 +days-per-year+)
             (* -6.90460016972063023d-5  +days-per-year+)
             (* 9.54791938424326609d-4 +solar-mass+)))

(defparameter *saturn*
  (make-body 8.34336671824457987d0
             (* -2.76742510726862411d-3 +days-per-year+)
             (* 4.99852801234917238d-3 +days-per-year+)
             (* 2.30417297573763929d-5 +days-per-year+)
             (* 2.85885980666130812d-4 +solar-mass+)))

(defparameter *uranus*
  (make-body 1.28943695621391310d1
             (* 2.96460137564761618d-03 +days-per-year+)
             (* 2.37847173959480950d-03 +days-per-year+)
             (* -2.96589568540237556d-05 +days-per-year+)
             (* 4.36624404335156298d-05 +solar-mass+)))

(defparameter *neptune*
  (make-body 1.53796971148509165d+01
             (* 2.68067772490389322d-03 +days-per-year+)
             (* 1.62824170038242295d-03 +days-per-year+)
             (* -9.51592254519715870d-05 +days-per-year+)
             (* 5.15138902046611451d-05 +solar-mass+)))

(defparameter *sun*
  (make-body 0.0d0 0.0d0 0.0d0 0.0d0 0.0d0 0.0d0 +solar-mass+))

(declaim (inline applyforces))
(defun applyforces (a b dt)
  (declare (type body a b) (type double-float dt))
  (let* ((dx (- (x a) (x b)))
         (dy (- (y a) (y b)))
         (dz (- (z a) (z b)))
	 (distance (sqrt (+ (* dx dx) (* dy dy) (* dz dz))))
	 (mag (/ dt (* distance distance distance)))
         (dxmag (* dx mag))
         (dymag (* dy mag))
         (dzmag (* dz mag)))
    (decf (vx a) (* dxmag (mass b)))
    (decf (vy a) (* dymag (mass b)))
    (decf (vz a) (* dzmag (mass b)))
    (incf (vx b) (* dxmag (mass a)))
    (incf (vy b) (* dymag (mass a)))
    (incf (vz b) (* dzmag (mass a))))

(defun advance (system dt)
  (declare (double-float dt))
  (loop for (a . rest) on system do
        (dolist (b rest)
          (applyforces a b dt)))
  (dolist (b system)
    (incf (x b) (* dt (vx b)))
    (incf (y b) (* dt (vy b)))
    (incf (z b) (* dt (vz b)))))

(defun energy (system)
  (let ((e 0.0d0))
    (declare (double-float e))
    (loop for (a . rest) on system do
          (incf e (* 0.5d0
                     (mass a)
                     (+ (* (vx a) (vx a))
                        (* (vy a) (vy a))
                        (* (vz a) (vz a)))))
          (dolist (b rest)
            (let* ((dx (- (x a) (x b)))
                   (dy (- (y a) (y b)))
                   (dz (- (z a) (z b)))
                   (dist (sqrt (+ (* dx dx) (* dy dy) (* dz dz)))))
              (decf e (/ (* (mass a) (mass b)) dist)))))

(defun offset-momentum (system)
  (let ((px 0.0d0)
	(py 0.0d0)
	(pz 0.0d0))
    (dolist (p system)
      (incf px (* (vx p) (mass p)))
      (incf py (* (vy p) (mass p)))
      (incf pz (* (vz p) (mass p))))
    (setf (vx (car system)) (/ (- px) +solar-mass+)
          (vy (car system)) (/ (- py) +solar-mass+)
          (vz (car system)) (/ (- pz) +solar-mass+))

(defun nbody (n)
  (declare (fixnum n))
  (let ((system (list *sun* *jupiter* *saturn* *uranus* *neptune*)))
    (offset-momentum system)
    (format t "~,9F~%" (energy system))
    (dotimes (i n)
      (advance system 0.01d0))
    (format t "~,9F~%" (energy system))))

(defun main ()
  (let ((n (parse-integer (or (car (last #+sbcl sb-ext:*posix-argv*
                                         #+cmu  extensions:*command-line-strings*
					 #+gcl  si::*command-args*)) "1"))))
    (nbody n)))


notes, command-line, and program output

32-bit Ubuntu one core
SBCL 1.3.10

Sat, 01 Oct 2016 04:35:01 GMT

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

; compiling file "/home/dunham/benchmarksgame/bench/nbody/nbody.sbcl" (written 24 JAN 2013 02:01:15 PM):
; compiling (DEFCONSTANT +DAYS-PER-YEAR+ ...)
; compiling (DEFCONSTANT +SOLAR-MASS+ ...)
; compiling (DEFSTRUCT (BODY # ...) ...)
; compiling (DEFTYPE BODY ...)
; compiling (DEFPARAMETER *JUPITER* ...)
; compiling (DEFPARAMETER *SATURN* ...)
; compiling (DEFPARAMETER *URANUS* ...)
; compiling (DEFPARAMETER *NEPTUNE* ...)
; compiling (DEFPARAMETER *SUN* ...)
; compiling (DEFUN APPLYFORCES ...)
; compiling (DEFUN ADVANCE ...)
; compiling (DEFUN ENERGY ...)
; compiling (DEFUN OFFSET-MOMENTUM ...)
; compiling (DEFUN NBODY ...)
; compiling (DEFUN MAIN ...)

; /home/dunham/benchmarksgame_onecore/nbody/tmp/nbody.fasl written
; compilation finished in 0:00:00.142
[undoing binding stack and other enclosing state... done]
[saving current Lisp image into sbcl.core:
writing 3120 bytes from the read-only space at 0x1000000
writing 2304 bytes from the static space at 0x1100000
writing 28168192 bytes from the dynamic space at 0x9000000
### START nbody.sbcl_run
(main) (quit)
### END nbody.sbcl_run

0.72s to complete and log all make actions

/usr/local/bin/sbcl   --noinform --core sbcl.core --userinit /dev/null --load nbody.sbcl_run 50000000