;;;; This file is part of LilyPond, the GNU music typesetter.
;;;;
-;;;; Copyright (C) 2009--2010 Carl Sorensen <c_sorensen@byu.edu>
+;;;; Copyright (C) 2009--2011 Carl Sorensen <c_sorensen@byu.edu>
;;;;
;;;; LilyPond is free software: you can redistribute it and/or modify
;;;; it under the terms of the GNU General Public License as published by
;;; If an exception is specified for a given beam-type, it will apply to all
;;; beams of shorter durations that don't have an individual exception, so
;;; ((1 . 8) . (3 3 2))
-;;; will cause all primary beams to be broken at 3/8, 5/8, and 8/8.
+;;; will cause all primary beams to be broken at 3/8, 6/8, and 8/8.
;;;
;;; ((1. 32) . (16 8 4 4))
;;; will cause all 1/32, 1/64, and 1/128 beams to be broken at 1/2, 3/4,
;;; a list of (1 1 1 ...), where the number of entries is the
;;; number of base moments in a measure otherwise.
;;;
-;;; If no value is given for beatCombinations, no beats will be combined without
-;;; beamExceptions rules.
-;;;
;;; NOTE: numerator is kept in beam-type because of
;;; tuplets, e.g. (2 . 24) = (2 . 3) * (1 . 8)
;;; for eighth-note triplets.
;; combine beats 1 and 2, so beam in 2
((4 . 8) . ((beatStructure . (2 2))))
- ;; in 4/8 and 4/16 time:
+ ;; in 4/16 time:
;; use defaults, so no entries necessary
;; in 6 4 time:
((beamExceptions . ((end . (((1 . 16) . (4 4 4 4 4 4))))))))
;; in 6 8 time:
- ;; use defaults, but end beams with 32nd or finer each 1 8 beat
- ((6 . 8) .
- ((beamExceptions . ((end . (((1 . 32) . (4 4 4 4 4 4))))))))
+ ;; use defaults, so no entries necessary
;; in 6 16 time:
- ;; use defaults, so no entry necessary
+ ;; use defaults, so no entries necessary
;; in 9 4 time:
;; use defaults, but end beams with 32nd or finer each 1 4 beat
((beamExceptions . ((end . (((1 . 32) . (8 8 8 8 8 8 8 8))))))))
;; in 9 8 time
- ;; use defaults, but end beams with 32nd notes each 1 8 beat
- ((9 . 8) .
- ((beamExceptions . ((end . (((1 . 32) . (4 4 4 4 4 4 4 4 4))))))))
+ ;; use defaults, so no entries necessary
;; in 9 16 time
- ;; use defaults, so no entry necessary
+ ;; use defaults, so no entries necessary
;; in 12 4 time:
;; use defaults, but end beams with 32nd or finer notes each 1 4 beat
((beamExceptions . ((end . (((1 . 32) . (8 8 8 8 8 8 8 8 8 8 8 8))))))))
;; in 12 8 time:
- ;; use defaults, but end beams with 32nd notes each 1 8 beat
- ((12 . 8) .
- ((beamExceptions . ((end . (((1 . 32) . (4 4 4 4 4 4 4 4 4 4 4 4))))))))
+ ;; use defaults, so no entries necessary
;; in 12 16 time:
- ;; use defaults; no entry needed
+ ;; use defaults, so no entries necessary
;; in 5 8 time:
;; default: group (3 2)
((5 . 8) .
- ((baseMoment . (1 . 8))
- (beatStructure . (3 2))))
+ ((beatStructure . (3 2))))
;; in 8 8 time:
;; default: group (3 3 2)
((8 . 8) .
- ((baseMoment . (1 . 8))
- (beatStructure . (3 3 2))))
+ ((beatStructure . (3 3 2))))
)) ; end of alist definition
(cons 'beamExceptions beam-exceptions)))
(define-public (base-fraction time-signature time-signature-settings)
- "Get @code{baseMoment} fraction value for @code{time-signature} from
-@code{time-signature-settings}."
+ "Get @code{baseMoment} fraction value for @var{time-signature} from
+@var{time-signature-settings}."
(let ((return-value (get-setting 'baseMoment
time-signature
time-signature-settings)))
return-value)))
(define-public (beat-structure base-fraction time-signature time-signature-settings)
- "Get beatStructure value in @code{base-fraction} units
-for @code{time-signature} from
-@code{time-signature-settings}."
+ "Get @code{beatStructure} value in @var{base-fraction} units
+for @var{time-signature} from @var{time-signature-settings}."
(define (fraction-divide numerator denominator)
(/ (* (car numerator) (cdr denominator))
(* (cdr numerator) (car denominator))))
return-value)))
(define-public (beam-exceptions time-signature time-signature-settings)
- "Get beamExceptions value for @code{time-signature} from
-@code{time-signature-settings}."
+ "Get @code{beamExceptions} value for @var{time-signature} from
+@var{time-signature-settings}."
(get-setting 'beamExceptions time-signature time-signature-settings))
(define (override-property-setting context property setting value)
"Like the C++ code that executes \\override, but without type
-checking. "
+checking."
(begin
(revert-property-setting context property setting)
(ly:context-set-property!
(define (revert-property-setting context property setting)
"Like the C++ code that executes \revert, but without type
-checking. "
+checking."
(define (entry-count alist entry-key)
"Count the number of entries in alist with a key of
(revert-member current-value setting)))))
(define-public (override-time-signature-setting time-signature setting)
- "Override the time signature settings for the context in @var{rest},
-with the new setting alist @var{setting}. "
+ "Override the time signature settings for the context in
+@var{time-signature}, with the new setting alist @var{setting}."
(context-spec-music
(make-apply-context
(lambda (c) (override-property-setting
'timeSignatureSettings
time-signature)))
'Timing))
+
+
+
+
+;;;%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+;;; Formatting of complex/compound time signatures
+
+(define (insert-markups l m)
+ (let ((ll (reverse l)))
+ (let join-markups ((markups (list (car ll)))
+ (remaining (cdr ll)))
+ (if (pair? remaining)
+ (join-markups (cons (car remaining) (cons m markups)) (cdr remaining))
+ markups))))
+
+;;; Use a centered-column inside a left-column, because the centered column
+;;; moves its reference point to the center, which the left-column undoes.
+(define (format-time-fraction time-sig-fraction)
+ (let* ((revargs (reverse (map number->string time-sig-fraction)))
+ (den (car revargs))
+ (nums (reverse (cdr revargs))))
+ (make-override-markup '(baseline-skip . 0)
+ (make-number-markup
+ (make-left-column-markup (list
+ (make-center-column-markup (list
+ (make-line-markup (insert-markups nums "+"))
+ den))))))))
+
+(define (format-complex-compound-time time-sig)
+ (make-override-markup '(baseline-skip . 0)
+ (make-number-markup
+ (make-line-markup
+ (insert-markups (map format-time-fraction time-sig)
+ (make-vcenter-markup "+"))))))
+
+(define-public (format-compound-time time-sig)
+ (cond
+ ((not (pair? time-sig)) (null-markup))
+ ((pair? (car time-sig)) (format-complex-compound-time time-sig))
+ (else (format-time-fraction time-sig))))
+
+
+;;;%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+;;; Measure length calculation of (possibly complex) compound time signatures
+
+(define (calculate-time-fraction time-sig-fraction)
+ (let* ((revargs (reverse time-sig-fraction))
+ (den (car revargs))
+ (num (apply + (cdr revargs))))
+ (ly:make-moment num den)))
+
+(define (calculate-complex-compound-time time-sig)
+ (let add-moment ((moment ZERO-MOMENT)
+ (remaining (map calculate-time-fraction time-sig)))
+ (if (pair? remaining)
+ (add-moment (ly:moment-add moment (car remaining)) (cdr remaining))
+ moment)))
+
+(define-public (calculate-compound-measure-length time-sig)
+ (cond
+ ((not (pair? time-sig)) (ly:make-moment 4 4))
+ ((pair? (car time-sig)) (calculate-complex-compound-time time-sig))
+ (else (calculate-time-fraction time-sig))))
+
+
+;;;%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+;;; Base beat length: Use the smallest denominator from all fraction
+
+(define (calculate-compound-base-beat-full time-sig)
+ (apply max (map last time-sig)))
+
+(define-public (calculate-compound-base-beat time-sig)
+ (ly:make-moment 1
+ (cond
+ ((not (pair? time-sig)) 4)
+ ((pair? (car time-sig)) (calculate-compound-base-beat-full time-sig))
+ (else (calculate-compound-base-beat-full (list time-sig))))))
+
+
+;;;%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+;;; Beat Grouping
+
+(define (normalize-fraction frac beat)
+ (let* ((thisbeat (car (reverse frac)))
+ (factor (/ beat thisbeat)))
+ (map (lambda (f) (* factor f)) frac)))
+
+(define (beat-grouping-internal time-sig)
+ ;; Normalize to given beat, extract the beats and join them to one list
+ (let* ((beat (calculate-compound-base-beat-full time-sig))
+ (normalized (map (lambda (f) (normalize-fraction f beat)) time-sig))
+ (beats (map (lambda (f) (reverse (cdr (reverse f)))) normalized)))
+ (apply append beats)))
+
+(define-public (calculate-compound-beat-grouping time-sig)
+ (cond
+ ((not (pair? time-sig)) '(2 . 2))
+ ((pair? (car time-sig)) (beat-grouping-internal time-sig))
+ (else (beat-grouping-internal (list time-sig)))))