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/usr/share/lilypond/2.18.2/scm/clip-region.scm is in lilypond-data 2.18.2-4.1.

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;;;; This file is part of LilyPond, the GNU music typesetter.
;;;;
;;;; Copyright (C) 2006--2012 Han-Wen Nienhuys <hanwen@lilypond.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-module (scm clip-region))

(use-modules (lily))

;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;
;; The procedures shown in this list have been moved to
;; scm/output-lib.scm
;;
;;
;;      (define-public (make-rhythmic-location bar-num num den)
;;      (define-public (rhythmic-location? a)
;;      (define-public (make-graceless-rhythmic-location loc)
;;      (define-public rhythmic-location-measure-position cdr)
;;      (define-public rhythmic-location-bar-number car)
;;      (define-public (rhythmic-location<? a b)
;;      (define-public (rhythmic-location<=? a b)
;;      (define-public (rhythmic-location>=? a b)
;;      (define-public (rhythmic-location>? a b)
;;      (define-public (rhythmic-location=? a b)
;;      (define-public (rhythmic-location->file-string a)
;;      (define-public (rhythmic-location->string a)


;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;  Actual clipping logic.

;;
;; the total of this will be
;; O(#systems * #regions)
;;
;; we can actually do better by sorting the regions as well,
;; but let's leave that for future extensions.
;;
(define-public (system-clipped-x-extent system-grob clip-region)
  "Return the X-extent of @var{system-grob} when clipped with
@var{clip-region}.  Return @code{#f} if not appropriate."

  (let*
      ((region-start (car clip-region))
       (columns (ly:grob-object system-grob 'columns))
       (region-end (cdr clip-region))
       (found-grace-end  #f)
       (candidate-columns
        (filter
         (lambda (j)
           (let*
               ((column (ly:grob-array-ref columns j))
                (loc (ly:grob-property column 'rhythmic-location))
                (grace-less (make-graceless-rhythmic-location loc))
                )

             (and (rhythmic-location? loc)
                  (rhythmic-location<=? region-start loc)
                  (or (rhythmic-location<? grace-less region-end)
                      (and (rhythmic-location=? grace-less region-end)
                           (eq? #t (ly:grob-property column 'non-musical))

                           )))

             ))

         (iota (ly:grob-array-length columns))))

       (column-range
        (if (>= 1 (length candidate-columns))
            #f
            (cons (car candidate-columns)
                  (car (last-pair candidate-columns)))))

       (clipped-x-interval
        (if column-range
            (cons

             (interval-start
              (ly:grob-robust-relative-extent
               (if (= 0 (car column-range))
                   system-grob
                   (ly:grob-array-ref columns (car column-range)))
               system-grob X))

             (interval-end
              (ly:grob-robust-relative-extent
               (if (= (1- (ly:grob-array-length columns)) (cdr column-range))
                   system-grob
                   (ly:grob-array-ref columns (cdr column-range)))
               system-grob X)))


            #f
            )))

    clipped-x-interval))