;;;; This file is part of LilyPond, the GNU music typesetter.
;;;;
-;;;; Copyright (C) 2009--2010 Carl Sorensen <c_sorensen@byu.edu>
+;;;; Copyright (C) 2009--2015 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
;;; time signature. Each default-properties set can contain the
;;; following entries:
;;;
-;;; (baseMoment . (numerator . denominator))
+;;; (baseMoment . (/ numerator denominator))
;;; (beatStructure . structure-list)
;;; (beamExceptions . (alist of beam exceptions that don't follow beats))
;;;
;;;
;;; grouping-rules is an alist containing (beam-type . grouping-list) entries
;;;
-;;; beam-type is (numerator . denominator)
+;;; beam-type is the length as a rational number
;;; grouping-list is a list that specifies the
;;; number of stems of the given duration that are grouped in a beamed unit.
;;; For an exception, the duration used is beam-type. For measureBeats,
;;;
;;; 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.
+;;; (1/8 . (3 3 2))
+;;; will cause all primary beams to be broken at 3/8, 6/8, and 8/8.
;;;
-;;; ((1. 32) . (16 8 4 4))
+;;; (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,
;;; 7/8, and 8/8.
;;;
+;;; Tuplets are referenced using their actual (scaled) length, so
+;;; a 3/2 tuplet of the 1/8 kind would get exceptions looked up
+;;; under 1/12.
+;;;
;;; If no values are given for baseMoment and measureBeats, default values
;;; will be assigned:
-;;; baseMoment gets the value (ly:make-moment 1 time-signature-denominator)
+;;; baseMoment gets the value (/ time-signature-denominator)
;;; beatStructure gets a list of (3 3 3 ...), where the number of entries is the
;;; number of beats, each containing 3 base-moments, if the time
;;; signature numerator is greater than 3 and divisible by 3, and
;;; 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.
(define-public default-time-signature-settings
'(
;; in 2/2 time:
;; use defaults, but end beams with 32nd notes each 1 4 beat
((2 . 2) .
- ((beamExceptions . ((end . (((1 . 32) . (8 8 8 8))))))))
+ ((beamExceptions . ((end . ((1/32 . (8 8 8 8))))))))
;; in 2/4, 2/8 and 2/16 time:
;; use defaults, so no entries are necessary
;; use defaults, but end beams with 32nd notes and higher each 1 4 beat
((3 . 2) .
- ((beamExceptions . ((end . (((1 . 32) . (8 8 8 8 8 8))))))))
+ ((beamExceptions . ((end . ((1/32 . (8 8 8 8 8 8))))))))
;; in 3 4 time:
;; use defaults, but combine all beats into a unit if possible
;;
;; set all beams to end on beats, but 1 8 to beam entire measure
- ;; in order to avoid beaming every beat for entier measure, we set
+ ;; in order to avoid beaming every beam type for the entire measure, we set
;; triplets back to every beat.
((3 . 4) .
- ((beamExceptions . ((end . (((1 . 8) . (6))
- ((1 . 12) . (3 3 3))))))))
+ ((beamExceptions . ((end . ((1/8 . (6)) ;1/8 note whole measure
+ (1/12 . (3 3 3)))))))) ;Anything shorter by beat
;; in 3 8 time:
;; beam entire measure together
- ((3 . 8) . ((beamExceptions . ((end . (((1 . 8) . (3))))))))
+ ((3 . 8) . ((beamExceptions . ((end . ((1/8 . (3))))))))
;; in 3 16 time:
;; use defaults -- no entries necessary
;; in 4 2 time:
;; use defaults, but end beams with 16th notes or finer each 1 4 beat
((4 . 2) .
- ((beamExceptions . ((end . (((1 . 16) . (4 4 4 4 4 4 4 4))))))))
+ ((beamExceptions . ((end . ((1/16 . (4 4 4 4 4 4 4 4))))))))
;; in 4 4 (common) time:
;; use defaults, but combine beats 1,2 and 3,4 if only 8th notes
;; ly/engraver-init.ly where the default time signature is set
;; are set
((4 . 4) .
- ((beamExceptions . ((end . (((1 . 8) . (4 4))
- ((1 . 12) . (3 3 3 3))))))))
+ ((beamExceptions . ((end . ((1/8 . (4 4)) ; 1/8 notes half measure
+ (1/12 . (3 3 3 3)))))))) ;Anything shorter by beat
;; in 4/8 time:
;; 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:
;; use defaults, but end beams with 32nd or finer each 1/4 beat
((6 . 4) .
- ((beamExceptions . ((end . (((1 . 16) . (4 4 4 4 4 4))))))))
+ ((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
((9 . 4) .
- ((beamExceptions . ((end . (((1 . 32) . (8 8 8 8 8 8 8 8))))))))
+ ((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
((12 . 4) .
- ((beamExceptions . ((end . (((1 . 32) . (8 8 8 8 8 8 8 8 8 8 8 8))))))))
+ ((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
"Get setting @code{my-symbol} for @code{time-signature} from
@code{time-signature-settings}."
(let ((my-time-signature-settings
- (assoc-get time-signature time-signature-settings '())))
- (assoc-get my-symbol my-time-signature-settings '())))
+ (assoc-get time-signature time-signature-settings '())))
+ (assoc-get my-symbol my-time-signature-settings '())))
(define-public (make-setting base-fraction
beat-structure
beam-exceptions)
(list
- (cons 'baseMoment base-fraction)
- (cons 'beatStructure beat-structure)
- (cons 'beamExceptions beam-exceptions)))
+ (cons 'baseMoment (if (pair? base-fraction)
+ (/ (car base-fraction) (cdr base-fraction))
+ base-fraction))
+ (cons 'beatStructure beat-structure)
+ (cons 'beamExceptions beam-exceptions)))
+
+(define-public (base-length time-signature time-signature-settings)
+ "Get @code{baseMoment} rational value for @var{time-signature} from
+@var{time-signature-settings}."
+ (let ((return-value (get-setting 'baseMoment
+ time-signature
+ time-signature-settings)))
+ (if (null? return-value)
+ (/ (cdr time-signature))
+ return-value)))
-(define-public (base-fraction time-signature time-signature-settings)
- "Get @code{baseMoment} fraction value for @code{time-signature} from
-@code{time-signature-settings}."
- (let ((return-value (get-setting 'baseMoment
- time-signature
- time-signature-settings)))
- (if (null? return-value)
- (cons 1 (cdr time-signature))
- 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}."
- (define (fraction-divide numerator denominator)
- (/ (* (car numerator) (cdr denominator))
- (* (cdr numerator) (car denominator))))
+(define-public (beat-structure base-length time-signature time-signature-settings)
+ "Get @code{beatStructure} value in @var{base-length} units
+for @var{time-signature} from @var{time-signature-settings}."
(let ((return-value (get-setting 'beatStructure
time-signature
(zero? (remainder numerator 3)))
3
1))
- (beat-length (cons (* group-size (car base-fraction))
- (cdr base-fraction)))
- (beat-count (fraction-divide time-signature beat-length)))
+ (beat-count (/ (car time-signature)
+ (cdr time-signature)
+ base-length
+ group-size)))
(if (integer? beat-count)
(make-list beat-count group-size)
'()))
return-value)))
(define-public (beam-exceptions time-signature time-signature-settings)
- "Get beamExceptions value for @code{time-signature} from
-@code{time-signature-settings}."
- (get-setting 'beamExceptions time-signature time-signature-settings))
+ "Get @code{beamExceptions} value for @var{time-signature} from
+@var{time-signature-settings}."
+ (get-setting 'beamExceptions time-signature time-signature-settings))
;;; Functions for overriding 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!
- context
- property
- (cons (cons setting value) (ly:context-property context property)))))
+ (ly:context-set-property!
+ context
+ property
+ (cons (cons setting value) (ly:context-property context property)))))
(define (revert-property-setting context property setting)
"Like the C++ code that executes \revert, but without type
-checking. "
+checking."
- (define (revert-member alist entry new)
- "Return ALIST, with ENTRY removed. ALIST is not modified, instead
+ (define (entry-count alist entry-key)
+ "Count the number of entries in alist with a key of
+ENTRY-KEY."
+ (cond
+ ((null? alist) 0)
+ ((equal? (caar alist) entry-key)
+ (+ 1 (entry-count (cdr alist) entry-key)))
+ (else (entry-count (cdr alist) entry-key))))
+
+ (define (revert-member alist entry-key)
+ "Return ALIST, with the first entry having a key of
+ENTRY-KEY removed. ALIST is not modified, instead
a fresh copy of the list-head is made."
(cond
- ((null? alist) new)
- ((equal? (car alist) entry) (revert-member (cdr alist) entry new))
- (else (cons (car alist)
- (revert-member (cdr alist) entry new)))))
-
- (ly:context-set-property!
- context property
- (revert-member (ly:context-property context property) setting '())))
-
-(define-public (override-time-signature-setting time-signature setting . rest)
- "Override the time signature settings for the context in @var{rest},
-with the new setting alist @var{setting}. "
- (context-spec-music
- (make-apply-context
- (lambda (c) (override-property-setting
- c
- 'timeSignatureSettings
- time-signature
- setting)))
- (if (and (pair? rest) (symbol? (car rest)))
- (car rest)
- 'Voice)))
-
-(define-public (score-override-time-signature-setting
- time-signature setting)
- (override-time-signature-setting
- time-signature setting 'Score))
-
-(define-public (revert-time-signature-setting
- time-signature . rest)
+ ((null? alist) '())
+ ((equal? (caar alist) entry-key) (cdr alist))
+ (else (cons (car alist)
+ (revert-member (cdr alist) entry-key)))))
+
+ ;; body of revert-property-setting
+ (let ((current-value (ly:context-property context property)))
+ (if (> (entry-count current-value setting) 0)
+ (ly:context-set-property!
+ context
+ property
+ (revert-member current-value setting)))))
+
+(define-public (override-time-signature-setting time-signature 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
+ c
+ 'timeSignatureSettings
+ time-signature
+ setting)))
+ 'Timing))
+
+(define-public (revert-time-signature-setting time-signature)
(context-spec-music
- (make-apply-context
- (lambda (c)
- (revert-property-setting
- c
- 'timeSignatureSettings
- time-signature)))
- (if (and (pair? rest) (symbol? (car rest)))
- (car rest)
- 'Voice)))
+ (make-apply-context
+ (lambda (c)
+ (revert-property-setting
+ c
+ 'timeSignatureSettings
+ time-signature)))
+ 'Timing))
+
+
+
+
+;;;%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+;;; Formatting of complex/compound time signatures
+
+; There ought to be a \join-line sep {...} command
+(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-left-column-markup
+ (list (make-center-column-markup
+ (list (make-line-markup (insert-markups nums "+"))
+ den)))))))
+
+(define (format-time-numerator time-sig)
+ (make-vcenter-markup (number->string (car time-sig))))
+
+(define (format-time-element time-sig)
+ (cond ((number-pair? time-sig)
+ (format-time-fraction (list (car time-sig) (cdr time-sig))))
+ ((pair? (cdr time-sig))
+ (format-time-fraction time-sig))
+ (else
+ (format-time-numerator time-sig))))
+
+(define (format-time-list time-sig)
+ (make-override-markup '(baseline-skip . 0)
+ (make-line-markup
+ (insert-markups (map format-time-element time-sig)
+ (make-vcenter-markup "+")))))
+
+(define (format-compound-time time-sig)
+ (make-number-markup
+ (cond
+ ((number? time-sig) (format-time-element (list time-sig)))
+ ((number-pair? time-sig)
+ (format-time-element (list (car time-sig) (cdr time-sig))))
+ ((pair? (car time-sig)) (format-time-list time-sig))
+ (else (format-time-element time-sig)))))
+
+(define-markup-command (compound-meter layout props time-sig)
+ (number-or-pair?)
+ #:category music
+ "Draw a numeric time signature.
+
+@lilypond[verbatim,quote]
+\\markup {
+ \\column {
+ \\line { Single number: \\compound-meter #3 }
+ \\line { Conventional: \\compound-meter #'(4 . 4)
+ or \\compound-meter #'(4 4) }
+ \\line { Compound: \\compound-meter #'(2 3 8) }
+ \\line { Single-number compound: \\compound-meter #'((2) (3)) }
+ \\line { Complex compound: \\compound-meter #'((2 3 8) (3 4)) }
+ }
+}
+@end lilypond
+"
+ (interpret-markup layout props (format-compound-time time-sig)))
+
+(add-simple-time-signature-style 'numbered make-compound-meter-markup)
+
+(add-simple-time-signature-style 'single-digit
+ (lambda (fraction) (make-compound-meter-markup (car fraction))))
+
+;;;%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+;;; Formatting of symbolic time signatures
+
+(define-public (make-glyph-time-signature-markup style fraction)
+ "Make markup for a symbolic time signature. If the music font does not have a glyph for the requested style and fraction, issue a warning and make a numbered time signature instead."
+ (make-first-visible-markup
+ (list (make-musicglyph-markup (string-append
+ "timesig."
+ (symbol->string style)
+ (number->string (car fraction))
+ (number->string (cdr fraction))))
+ (make-compound-meter-markup fraction))))
+
+(define-public (make-c-time-signature-markup fraction)
+ "Make markup for the `C' time signature style."
+ (let ((n (car fraction))
+ (d (cdr fraction)))
+ ; check specific fractions to avoid warnings when no glyph exists
+ (if (or (and (= n 2) (= d 2))
+ (and (= n 4) (= d 4)))
+ (make-glyph-time-signature-markup 'C fraction)
+ (make-compound-meter-markup fraction))))
+
+(add-simple-time-signature-style 'C make-c-time-signature-markup)
+(add-simple-time-signature-style 'default make-c-time-signature-markup)
+
+;;;%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+;;; 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) (drop-right f 1)) normalized)))
+ (concatenate 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)))))
projects / lilypond.git / blobdiff