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/usr/share/lilypond/2.16.2/scm/layout-beam.scm is in lilypond-data 2.16.2-3.

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The actual contents of the file can be viewed below.

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;;;; This file is part of LilyPond, the GNU music typesetter.
;;;;
;;;; Copyright (C) 2000--2012 Jan Nieuwenhuizen <janneke@gnu.org>
;;;;
;;;; LilyPond is free software: you can redistribute it and/or modify
;;;; it under the terms of the GNU General Public License as published by
;;;; the Free Software Foundation, either version 3 of the License, or
;;;; (at your option) any later version.
;;;;
;;;; LilyPond is distributed in the hope that it will be useful,
;;;; but WITHOUT ANY WARRANTY; without even the implied warranty of
;;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
;;;; GNU General Public License for more details.
;;;;
;;;; You should have received a copy of the GNU General Public License
;;;; along with LilyPond.  If not, see <http://www.gnu.org/licenses/>.

(define check-beam-quant
  (lambda (posl posr)
    (lambda (beam posns)
  "Check whether BEAM has POSL and POSR quants.  POSL are (POSITION
. QUANT) pairs, where QUANT is -1 (hang), 0 (center), 1 (sit) or -2/ 2 (inter) 

"
  (let* ((thick (ly:grob-property beam 'beam-thickness))
	 (layout (ly:grob-layout beam))
	 (lthick (ly:output-def-lookup layout 'line-thickness))
	 (staff-thick lthick) ; fixme.
	 (quant->coord (lambda (p q)
			 (if (= 2 (abs q))
			     (+ p (/ q 4.0))
			     (+ p (- (* 0.5 q thick) (* 0.5 q lthick))))))
	 (want-l (quant->coord (car posl) (cdr posl))) 
	 (want-r (quant->coord (car posr) (cdr posr)))
	 (almost-equal (lambda (x y) (< (abs (- x y)) 1e-3))))
    
    (if (or (not (almost-equal want-l (car posns)))
	    (not (almost-equal want-r (cdr posns))))
	(begin
	  (ly:warning (_ "Error in beam quanting.  Expected (~S,~S) found ~S.")
		      want-l want-r posns)
	  (set! (ly:grob-property beam 'annotation)
		(format #f "(~S,~S)" want-l want-r))))
    posns))))

(define check-beam-slope-sign
  (lambda (comparison)
    (lambda (beam posns)
  "Check whether the slope of BEAM is correct wrt. COMPARISON."
  (let* ((slope-sign (- (cdr posns) (car posns)))
	 (correct (comparison slope-sign 0)))
    (if (not correct)
	(begin
	  (ly:warning (_ "Error in beam quanting.  Expected ~S 0, found ~S.")
		      (procedure-name comparison) slope-sign)
	  (set! (ly:grob-property beam 'annotation)
		(format #f "~S 0" (procedure-name comparison))))
	(set! (ly:grob-property beam 'annotation) ""))
    posns))))


(define-public (check-quant-callbacks l r)
  (lambda (grob)
    ((check-beam-quant l r)
       grob
       (beam::place-broken-parts-individually grob))))


(define-public (check-slope-callbacks comparison)
  (lambda (grob)
    ((check-beam-slope-sign comparison)
       grob
       (beam::place-broken-parts-individually grob))))