]> git.donarmstrong.com Git - lilypond.git/blobdiff - scm/translation-functions.scm
Add '-dcrop' option to ps and svg backends
[lilypond.git] / scm / translation-functions.scm
index 49d8768eb40500c9b1a65c1e9625adfb66e43f9e..0ed0deff0a24817edc4f53b42fb902313f0e75bc 100644 (file)
@@ -1,7 +1,7 @@
 ;;;; This file is part of LilyPond, the GNU music typesetter.
 ;;;;
-;;;; (c) 1998--2012 Han-Wen Nienhuys <hanwen@xs4all.nl>
-;;;;                Jan Nieuwenhuizen <janneke@gnu.org>
+;;;; (c) 1998--2015 Han-Wen Nienhuys <hanwen@xs4all.nl>
+;;;;                 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
@@ -32,63 +32,68 @@ way the transposition number is displayed."
                     (cons "" "")))
          (text (string-concatenate (list (car delim) oct (cdr delim)))))
 
-       (make-vcenter-markup text)))
+    (make-vcenter-markup text)))
 
 
 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
 ;; metronome marks
 
 (define-public (format-metronome-markup event context)
-  (let ((hide-note (ly:context-property context 'tempoHideNote #f))
-       (text (ly:event-property event 'text))
-       (dur (ly:event-property event 'tempo-unit))
-       (count (ly:event-property event 'metronome-count)))
-
-    (metronome-markup text dur count hide-note)))
-
-(define-public (metronome-markup text dur count hide-note)
-  (let* ((note-mark (if (and (not hide-note) (ly:duration? dur))
-                       (make-smaller-markup
-                        (make-note-by-number-markup (ly:duration-log dur)
-                                                    (ly:duration-dot-count dur)
-                                                    1))
-                       #f))
-        (count-markup (cond ((number? count)
-                             (if (> count 0)
-                                 (make-simple-markup (number->string count))
-                                 #f))
-                            ((pair? count)
-                             (make-concat-markup
-                              (list
-                               (make-simple-markup (number->string (car count)))
-                               (make-simple-markup " ")
-                               (make-simple-markup "–")
-                               (make-simple-markup " ")
-                               (make-simple-markup (number->string (cdr count))))))
-                            (else #f)))
+   (let ((hide-note (ly:context-property context 'tempoHideNote #f))
+         (text (ly:event-property event 'text))
+         (dur (ly:event-property event 'tempo-unit))
+         (count (ly:event-property event 'metronome-count)))
+   (metronome-markup text dur count hide-note)))
+(export format-metronome-markup)
+
+(define (metronome-markup text dur count hide-note)
+  (let* ((note-mark
+            (if (and (not hide-note) (ly:duration? dur))
+                (make-smaller-markup
+                  (make-note-by-number-markup
+                    (ly:duration-log dur)
+                    (ly:duration-dot-count dur)
+                    UP))
+                #f))
+         (count-markup (cond ((number? count)
+                              (if (> count 0)
+                                  (make-simple-markup
+                                          (number->string count))
+                                  #f))
+                             ((pair? count)
+                              (make-concat-markup
+                               (list
+                                (make-simple-markup
+                                        (number->string (car count)))
+                                (make-simple-markup " ")
+                                (make-simple-markup "–")
+                                (make-simple-markup " ")
+                                (make-simple-markup
+                                        (number->string (cdr count))))))
+                             (else #f)))
          (note-markup (if (and (not hide-note) count-markup)
-                         (make-concat-markup
-                          (list
-                           (make-general-align-markup Y DOWN note-mark)
-                           (make-simple-markup " ")
-                           (make-simple-markup "=")
-                           (make-simple-markup " ")
-                           count-markup))
-                         #f))
+                          (make-concat-markup
+                           (list
+                            (make-general-align-markup Y DOWN note-mark)
+                            (make-simple-markup " ")
+                            (make-simple-markup "=")
+                            (make-simple-markup " ")
+                            count-markup))
+                          #f))
          (text-markup (if (not (null? text))
-                         (make-bold-markup text)
-                         #f)))
+                          (make-bold-markup text)
+                          #f)))
     (if text-markup
-       (if (and note-markup (not hide-note))
-           (make-line-markup (list text-markup
-                                   (make-concat-markup
-                                    (list (make-simple-markup "(")
-                                          note-markup
-                                          (make-simple-markup ")")))))
-           (make-line-markup (list text-markup)))
-       (if note-markup
-           (make-line-markup (list note-markup))
-           (make-null-markup)))))
+        (if (and note-markup (not hide-note))
+            (make-line-markup (list text-markup
+                                    (make-concat-markup
+                                     (list (make-simple-markup "(")
+                                           note-markup
+                                           (make-simple-markup ")")))))
+            (make-line-markup (list text-markup)))
+        (if note-markup
+            (make-line-markup (list note-markup))
+            (make-null-markup)))))
 
 (define-public (format-mark-alphabet mark context)
   (make-bold-markup (make-markalphabet-markup (1- mark))))
@@ -107,7 +112,7 @@ way the transposition number is displayed."
 
 (define-public (format-mark-barnumbers mark context)
   (make-bold-markup (number->string (ly:context-property context
-                                                        'currentBarNumber))))
+                                                         'currentBarNumber))))
 
 (define-public (format-mark-box-letters mark context)
   (make-bold-markup (make-box-markup (make-markletter-markup (1- mark)))))
@@ -123,13 +128,13 @@ way the transposition number is displayed."
 
 (define-public (format-mark-box-barnumbers mark context)
   (make-bold-markup (make-box-markup
-                    (number->string (ly:context-property context
-                                                         'currentBarNumber)))))
+                     (number->string (ly:context-property context
+                                                          'currentBarNumber)))))
 
 (define-public (format-mark-circle-barnumbers mark context)
   (make-bold-markup (make-circle-markup
-                    (number->string (ly:context-property context
-                                                         'currentBarNumber)))))
+                     (number->string (ly:context-property context
+                                                          'currentBarNumber)))))
 
 
 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
@@ -137,79 +142,79 @@ way the transposition number is displayed."
 
 (define-public (format-bass-figure figure event context)
   (let* ((fig (ly:event-property event 'figure))
-        (fig-markup (if (number? figure)
-
-                        ;; this is not very elegant, but center-aligning
-                        ;; all digits is problematic with other markups,
-                        ;; and shows problems in the (lack of) overshoot
-                        ;; of feta-alphabet glyphs.
-                        ((if (<= 10 figure)
-                             (lambda (y) (make-translate-scaled-markup
-                                          (cons -0.7 0) y))
-                             identity)
-
-                         (cond
-                          ((eq? #t (ly:event-property event 'diminished))
-                           (markup #:slashed-digit figure))
-                          ((eq? #t (ly:event-property event 'augmented-slash))
-                           (markup #:backslashed-digit figure))
-                          (else (markup #:number (number->string figure 10)))))
-                        #f))
-
-        (alt (ly:event-property event 'alteration))
-        (alt-markup
-         (if (number? alt)
-             (markup
-              #:general-align Y DOWN #:fontsize
-              (if (not (= alt DOUBLE-SHARP))
-                  -2 2)
-              (alteration->text-accidental-markup alt))
-             #f))
-
-        (plus-markup (if (eq? #t (ly:event-property event 'augmented))
-                         (markup #:number "+")
-                         #f))
-
-        (alt-dir (ly:context-property context 'figuredBassAlterationDirection))
-        (plus-dir (ly:context-property context 'figuredBassPlusDirection)))
+         (fig-markup (if (number? figure)
+
+                         ;; this is not very elegant, but center-aligning
+                         ;; all digits is problematic with other markups,
+                         ;; and shows problems in the (lack of) overshoot
+                         ;; of feta-alphabet glyphs.
+                         ((if (<= 10 figure)
+                              (lambda (y) (make-translate-scaled-markup
+                                           (cons -0.7 0) y))
+                              identity)
+
+                          (cond
+                           ((eq? #t (ly:event-property event 'diminished))
+                            (markup #:slashed-digit figure))
+                           ((eq? #t (ly:event-property event 'augmented-slash))
+                            (markup #:backslashed-digit figure))
+                           (else (markup #:number (number->string figure 10)))))
+                         #f))
+
+         (alt (ly:event-property event 'alteration))
+         (alt-markup
+          (if (number? alt)
+              (markup
+               #:general-align Y DOWN #:fontsize
+               (if (not (= alt DOUBLE-SHARP))
+                   -2 2)
+               (alteration->text-accidental-markup alt))
+              #f))
+
+         (plus-markup (if (eq? #t (ly:event-property event 'augmented))
+                          (markup #:number "+")
+                          #f))
+
+         (alt-dir (ly:context-property context 'figuredBassAlterationDirection))
+         (plus-dir (ly:context-property context 'figuredBassPlusDirection)))
 
     (if (and (not fig-markup) alt-markup)
-       (begin
-         (set! fig-markup (markup #:left-align #:pad-around 0.3 alt-markup))
-         (set! alt-markup #f)))
+        (begin
+          (set! fig-markup (markup #:left-align #:pad-around 0.3 alt-markup))
+          (set! alt-markup #f)))
 
 
     ;; hmm, how to get figures centered between note, and
     ;; lone accidentals too?
 
     ;;    (if (markup? fig-markup)
-    ;; (set!
-    ;;  fig-markup (markup #:translate (cons 1.0 0)
-    ;;                     #:center-align fig-markup)))
+    ;;  (set!
+    ;;   fig-markup (markup #:translate (cons 1.0 0)
+    ;;                      #:center-align fig-markup)))
 
     (if alt-markup
-       (set! fig-markup
-             (markup #:put-adjacent
-                     X (if (number? alt-dir)
-                           alt-dir
-                           LEFT)
-                     fig-markup
-                     #:pad-x 0.2 alt-markup)))
+        (set! fig-markup
+              (markup #:put-adjacent
+                      X (if (number? alt-dir)
+                            alt-dir
+                            LEFT)
+                      fig-markup
+                      #:pad-x 0.2 alt-markup)))
 
     (if plus-markup
-       (set! fig-markup
-             (if fig-markup
-                 (markup #:put-adjacent
-                         X (if (number? plus-dir)
-                               plus-dir
-                               LEFT)
-                         fig-markup
-                         #:pad-x 0.2 plus-markup)
-                 plus-markup)))
+        (set! fig-markup
+              (if fig-markup
+                  (markup #:put-adjacent
+                          X (if (number? plus-dir)
+                                plus-dir
+                                LEFT)
+                          fig-markup
+                          #:pad-x 0.2 plus-markup)
+                  plus-markup)))
 
     (if (markup? fig-markup)
-       (markup #:fontsize -2 fig-markup)
-       empty-markup)))
+        (markup #:fontsize -2 fig-markup)
+        empty-markup)))
 
 
 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
@@ -219,12 +224,12 @@ way the transposition number is displayed."
   "Convert @var{placement-list} into a fretboard @var{grob}."
 
   (let* ((tunings (ly:context-property context 'stringTunings))
-        (my-string-count (length tunings))
-        (details (ly:grob-property grob 'fret-diagram-details)))
+         (my-string-count (length tunings))
+         (details (ly:grob-property grob 'fret-diagram-details)))
 
     ;; Add string-count from string-tunings to fret-diagram-details.
     (set! (ly:grob-property grob 'fret-diagram-details)
-            (acons 'string-count my-string-count details))
+          (acons 'string-count my-string-count details))
     ;; Create the dot-placement list for the grob
     (set! (ly:grob-property grob 'dot-placement-list) placement-list)))
 
@@ -242,7 +247,9 @@ Will look for predefined fretboards if @code{predefinedFretboardTable}
 is not @code {#f}.  If @var{rest} is present, it contains the
 @code{FretBoard} grob, and a fretboard will be
 created.  Otherwise, a list of @code{(string fret finger)} lists will
-be returned."
+be returned.
+If the context-property @code{supportNonIntegerFret} is set @code{#t},
+micro-tones are supported for TabStaff, but not not for FretBoards."
 
   ;;  helper functions
 
@@ -251,21 +258,21 @@ be returned."
 dot placement entries."
     (let* ((placements (list->vector
                         (map (lambda (x) (list 'mute  x))
-                            (iota string-count 1)))))
+                             (iota string-count 1)))))
 
       (for-each (lambda (sf)
-                 (let* ((string (car sf))
-                        (fret (cadr sf))
-                        (finger (caddr sf)))
-                   (vector-set!
-                      placements
-                     (1- string)
-                     (if (= 0 fret)
-                          (list 'open string)
-                         (if finger
-                             (list 'place-fret string fret finger)
-                             (list 'place-fret string fret))))))
-               string-frets)
+                  (let* ((string (car sf))
+                         (fret (cadr sf))
+                         (finger (caddr sf)))
+                    (vector-set!
+                     placements
+                     (1- string)
+                     (if (= 0 fret)
+                         (list 'open string)
+                         (if finger
+                             (list 'place-fret string fret finger)
+                             (list 'place-fret string fret))))))
+                string-frets)
       (vector->list placements)))
 
   (define (placement-list->string-frets placement-list)
@@ -289,12 +296,12 @@ if no string-number is present."
       (and (integer? num) (positive? num) num)))
 
   (define (determine-frets-and-strings
-           notes
-           defined-strings
-           defined-fingers
-           minimum-fret
-           maximum-stretch
-           tuning)
+           notes
+           defined-strings
+           defined-fingers
+           minimum-fret
+           maximum-stretch
+           tuning)
     "Determine the frets and strings used to play the notes in
 @var{notes}, given @var{defined-strings} and @var{defined-fingers}
 along with @var{minimum-fret}, @var{maximum-stretch}, and
@@ -302,8 +309,8 @@ along with @var{minimum-fret}, @var{maximum-stretch}, and
 
 
     (define restrain-open-strings (ly:context-property context
-                                                      'restrainOpenStrings
-                                                      #f))
+                                                       'restrainOpenStrings
+                                                       #f))
     (define specified-frets '())
     (define free-strings (iota (length tuning) 1))
 
@@ -320,21 +327,21 @@ along with @var{minimum-fret}, @var{maximum-stretch}, and
       "Get the fingering from @var{ev}.  Return @var{#f}
 if no fingering is present."
       (let* ((articulations (ly:event-property ev 'articulations))
-            (finger-found #f))
-       (map (lambda (art)
-              (let* ((num (ly:event-property art 'digit)))
+             (finger-found #f))
+        (for-each (lambda (art)
+                    (let* ((num (ly:event-property art 'digit)))
 
-                (if (and (ly:in-event-class? art 'fingering-event)
-                         (number? num)
-                         (> num 0))
-                  (set! finger-found num))))
-            articulations)
-       finger-found))
+                      (if (and (ly:in-event-class? art 'fingering-event)
+                               (number? num)
+                               (> num 0))
+                          (set! finger-found num))))
+                  articulations)
+        finger-found))
 
     (define (delete-free-string string)
       (if (number? string)
-       (set! free-strings
-         (delete string free-strings))))
+          (set! free-strings
+                (delete string free-strings))))
 
     (define (close-enough fret)
       "Decide if @var{fret} is acceptable, given the already used frets."
@@ -348,29 +355,35 @@ if no fingering is present."
       "Can @var{pitch} be played on @var{string}, given already placed
 notes?"
       (let* ((fret (calc-fret pitch string tuning)))
-       (and (or (and (not restrain-open-strings)
-                     (zero? fret))
-                (>= fret minimum-fret))
-            (integer? fret)
-            (close-enough fret))))
+        (and (or (and (not restrain-open-strings)
+                      (zero? fret))
+                 (>= fret minimum-fret))
+             (if (and
+                   (ly:context-property context 'supportNonIntegerFret #f)
+                   (null? rest))
+                 (integer? (truncate fret))
+                 (integer? fret))
+             (close-enough fret))))
 
     (define (open-string string pitch)
       "Is @var{pitch} and open-string note on @var{string}, given
 the current tuning?"
       (let* ((fret (calc-fret pitch string tuning)))
-       (zero? fret)))
+        (zero? fret)))
 
     (define (set-fret! pitch-entry string finger)
       (let ((this-fret (calc-fret (car pitch-entry)
-                                 string
-                                 tuning)))
-       (if (< this-fret 0)
-         (ly:warning (_ "Negative fret for pitch ~a on string ~a")
-                     (car pitch-entry) string)
-         (if (not (integer? this-fret))
-             (ly:warning (_ "Missing fret for pitch ~a on string ~a")
-                         (car pitch-entry) string)))
-       (delete-free-string string)
+                                  string
+                                  tuning)))
+        (if (< this-fret 0)
+            (ly:warning (_ "Negative fret for pitch ~a on string ~a")
+                        (car pitch-entry) string)
+            (if (and
+                  (not (integer? this-fret))
+                  (not (ly:context-property context 'supportNonIntegerFret #f)))
+                (ly:warning (_ "Missing fret for pitch ~a on string ~a")
+                            (car pitch-entry) string)))
+        (delete-free-string string)
         (set! specified-frets (cons this-fret specified-frets))
         (list-set! string-fret-fingers
                    (cdr pitch-entry)
@@ -380,11 +393,11 @@ the current tuning?"
       (list-set! string-fret-fingers note-index (list #f #t)))
 
     (define string-fret-fingers
-             (map (lambda (string finger)
-                    (if (null? finger)
-                        (list string #f)
-                        (list string #f finger)))
-                  defined-strings defined-fingers))
+      (map (lambda (string finger)
+             (if (null? finger)
+                 (list string #f)
+                 (list string #f finger)))
+           defined-strings defined-fingers))
 
     ;;; body of determine-frets-and-strings
     (let* ((pitches (map note-pitch notes))
@@ -392,87 +405,97 @@ the current tuning?"
 
       ;; handle notes with strings assigned and fingering of 0
       (for-each
-        (lambda (pitch-entry string-fret-finger)
-         (let* ((string (list-ref string-fret-finger 0))
-                 (finger (if (= (length string-fret-finger) 3)
-                             (list-ref string-fret-finger 2)
-                             '()))
-                 (pitch (car pitch-entry))
-                 (digit (if (null? finger)
-                           #f
-                           finger)))
-           (if (or (not (null? string))
-                   (eqv? digit 0))
-               (if (eqv? digit 0)
-                    ;; here we handle fingers of 0 -- open strings
-                   (let ((fit-string
-                           (find (lambda (string)
-                                   (open-string string pitch))
-                                 free-strings)))
-                     (if fit-string
-                          (set-fret! pitch-entry fit-string #f)
-                         (ly:warning (_ "No open string for pitch ~a")
-                                     pitch)))
-                    ;; here we handle assigned strings
-                   (let ((this-fret
-                            (calc-fret pitch string tuning))
-                         (handle-negative
-                           (ly:context-property context
-                                                'handleNegativeFrets
-                                                'recalculate)))
-                     (cond ((or (and (>= this-fret 0) (integer? this-fret))
-                                (eq? handle-negative 'include))
-                             (set-fret! pitch-entry string finger))
-                           ((eq? handle-negative 'recalculate)
-                            (begin
-                               (ly:warning
-                                 (_ "Requested string for pitch requires negative fret: string ~a pitch ~a")
-                                 string
-                                 pitch)
-                              (ly:warning (_ "Ignoring string request and recalculating."))
-                               (list-set! string-fret-fingers
-                                          (cdr pitch-entry)
-                                          (if (null? finger)
-                                              (list '() #f)
-                                              (list '() #f finger)))))
-                           ((eq? handle-negative 'ignore)
-                            (begin
-                               (ly:warning
-                                 (_ "Requested string for pitch requires negative fret: string ~a pitch ~a")
-                                 string
-                                 pitch)
-                              (ly:warning (_ "Ignoring note in tablature."))
-                               (kill-note! string-fret-fingers
-                                           (cdr pitch-entry))))))))))
-        pitch-alist string-fret-fingers)
-    ;; handle notes without strings assigned -- sorted by pitch, so
-    ;; we need to use the alist to have the note number available
-    (for-each
-      (lambda (pitch-entry)
-       (let* ((string-fret-finger (list-ref string-fret-fingers
-                                             (cdr pitch-entry)))
-               (string (list-ref string-fret-finger 0))
-               (finger (if (= (length string-fret-finger) 3)
-                           (list-ref string-fret-finger 2)
-                           '()))
-               (pitch (car pitch-entry))
-               (fit-string
-                (find (lambda (string)
-                        (string-qualifies string pitch))
-                      free-strings)))
-          (if (not (list-ref string-fret-finger 1))
-             (if fit-string
-                  (set-fret! pitch-entry fit-string finger)
-                 (begin
-                    (ly:warning (_ "No string for pitch ~a (given frets ~a)")
-                               pitch
-                                specified-frets)
-                    (kill-note! string-fret-fingers
-                                (cdr pitch-entry)))))))
-      (sort pitch-alist (lambda (pitch-entry-a pitch-entry-b)
-                          (ly:pitch<? (car pitch-entry-b)
-                                      (car pitch-entry-a)))))
-    string-fret-fingers)) ;; end of determine-frets-and-strings
+       (lambda (pitch-entry string-fret-finger)
+         (let* ((string (list-ref string-fret-finger 0))
+                (finger (if (= (length string-fret-finger) 3)
+                            (list-ref string-fret-finger 2)
+                            '()))
+                (pitch (car pitch-entry))
+                (digit (if (null? finger)
+                           #f
+                           finger)))
+           (if (or (not (null? string))
+                   (eqv? digit 0))
+               (if (eqv? digit 0)
+                   ;; here we handle fingers of 0 -- open strings
+                   (let ((fit-string
+                          (find (lambda (string)
+                                  (open-string string pitch))
+                                free-strings)))
+                     (if fit-string
+                         (set-fret! pitch-entry fit-string #f)
+                         (ly:warning (_ "No open string for pitch ~a")
+                                     pitch)))
+                   ;; here we handle assigned strings
+                   (let* ((this-fret
+                           (calc-fret pitch string tuning))
+                          (possible-fret?
+                           (and (>= this-fret 0)
+                                (if (and
+                                      (ly:context-property
+                                        context 'supportNonIntegerFret #f)
+                                      (null? rest))
+                                    (integer? (truncate this-fret))
+                                    (integer? this-fret))))
+                          (handle-negative
+                           (ly:context-property context
+                                                'handleNegativeFrets
+                                                'recalculate)))
+                     (cond ((or possible-fret?
+                                (eq? handle-negative 'include))
+                            (set-fret! pitch-entry string finger))
+                           ((eq? handle-negative 'recalculate)
+                            (begin
+                              (ly:warning
+                               (_ "Requested string for pitch requires negative fret: string ~a pitch ~a")
+                               string
+                               pitch)
+                              (ly:warning (_ "Ignoring string request and recalculating."))
+                              (list-set! string-fret-fingers
+                                         (cdr pitch-entry)
+                                         (if (null? finger)
+                                             (list '() #f)
+                                             (list '() #f finger)))))
+                           ((eq? handle-negative 'ignore)
+                            (begin
+                              (ly:warning
+                               (_ "Requested string for pitch requires negative fret: string ~a pitch ~a")
+                               string
+                               pitch)
+                              (ly:warning (_ "Ignoring note in tablature."))
+                              (kill-note! string-fret-fingers
+                                          (cdr pitch-entry))))))))))
+       pitch-alist string-fret-fingers)
+      ;; handle notes without strings assigned -- sorted by pitch, so
+      ;; we need to use the alist to have the note number available
+      (for-each
+       (lambda (pitch-entry)
+         (let* ((string-fret-finger (list-ref string-fret-fingers
+                                              (cdr pitch-entry)))
+                (string (list-ref string-fret-finger 0))
+                (finger (if (= (length string-fret-finger) 3)
+                            (list-ref string-fret-finger 2)
+                            '()))
+                (pitch (car pitch-entry))
+                (fit-string
+                 (find (lambda (string)
+                         (string-qualifies string pitch))
+                       free-strings)))
+           (if (not (list-ref string-fret-finger 1))
+               (if fit-string
+                   (set-fret! pitch-entry fit-string finger)
+                   (begin
+                     (ly:event-warning
+                      (list-ref notes (cdr pitch-entry))
+                      (_ "No string for pitch ~a (given frets ~a)")
+                      pitch
+                      specified-frets)
+                     (kill-note! string-fret-fingers
+                                 (cdr pitch-entry)))))))
+       (sort pitch-alist (lambda (pitch-entry-a pitch-entry-b)
+                           (ly:pitch<? (car pitch-entry-b)
+                                       (car pitch-entry-a)))))
+      string-fret-fingers)) ;; end of determine-frets-and-strings
 
   (define (get-predefined-fretboard predefined-fret-table tuning pitches)
     "Search through @var{predefined-fret-table} looking for a predefined
@@ -482,31 +505,39 @@ chords.  Returns a placement-list."
 
     (define (get-fretboard key)
       (let ((hash-handle
-            (hash-get-handle predefined-fret-table key)))
-       (if hash-handle
-           (cdr hash-handle)  ; return table entry
-           '())))
+             (hash-get-handle predefined-fret-table key)))
+        (if hash-handle
+            (cdr hash-handle)  ; return table entry
+            '())))
 
     ;; body of get-predefined-fretboard
     (let ((test-fretboard (get-fretboard (cons tuning pitches))))
       (if (not (null? test-fretboard))
-         test-fretboard
-         (let ((test-fretboard
-                (get-fretboard
-                 (cons tuning (map (lambda (x) (shift-octave x 1)) pitches)))))
-           (if (not (null? test-fretboard))
-               test-fretboard
-               (get-fretboard
-                (cons tuning (map (lambda (x) (shift-octave x -1))
-                                  pitches))))))))
+          test-fretboard
+          (let ((test-fretboard
+                 (get-fretboard
+                  (cons tuning (map (lambda (x) (shift-octave x 1)) pitches)))))
+            (if (not (null? test-fretboard))
+                test-fretboard
+                (get-fretboard
+                 (cons tuning (map (lambda (x) (shift-octave x -1))
+                                   pitches))))))))
+
+  ;; TODO: Does it make sense to have additional bass strings in a fret-diagram?
+  (if (and (not (null? rest))
+           (not (null? (ly:context-property context 'additionalBassStrings))))
+      (ly:warning "additional bass strings are not supported by FretBoards"))
 
   ;; body of determine-frets
   (let* ((predefined-fret-table
-         (ly:context-property context 'predefinedDiagramTable))
-         (tunings (ly:context-property context 'stringTunings))
+          (ly:context-property context 'predefinedDiagramTable))
+         (tunings
+           (append
+             (ly:context-property context 'stringTunings)
+             (ly:context-property context 'additionalBassStrings '())))
          (string-count (length tunings))
          (grob (if (null? rest) '() (car rest)))
-        (pitches (map (lambda (x) (ly:event-property x 'pitch)) notes))
+         (pitches (map (lambda (x) (ly:event-property x 'pitch)) notes))
          (defined-strings (map (lambda (x)
                                  (if (null? x)
                                      x
@@ -529,26 +560,26 @@ chords.  Returns a placement-list."
                tunings
                pitches)
               '())))
-     (if (null? predefined-fretboard)
-         (let ((string-frets
-                (determine-frets-and-strings
-                 notes
-                 strings-used
-                 defined-fingers
-                 (ly:context-property context 'minimumFret 0)
-                 (ly:context-property context 'maximumFretStretch 4)
-                 tunings)))
-            (if (null? grob)
-                string-frets
-                (create-fretboard
-                 context grob (string-frets->placement-list
-                                (filter (lambda (entry)
-                                          (car entry))
-                                        string-frets)
-                                string-count))))
-         (if (null? grob)
-             (placement-list->string-frets predefined-fretboard)
-             (create-fretboard context grob predefined-fretboard)))))
+    (if (null? predefined-fretboard)
+        (let ((string-frets
+               (determine-frets-and-strings
+                notes
+                strings-used
+                defined-fingers
+                (ly:context-property context 'minimumFret 0)
+                (ly:context-property context 'maximumFretStretch 4)
+                tunings)))
+          (if (null? grob)
+              string-frets
+              (create-fretboard
+               context grob (string-frets->placement-list
+                             (filter (lambda (entry)
+                                       (car entry))
+                                     string-frets)
+                             string-count))))
+        (if (null? grob)
+            (placement-list->string-frets predefined-fretboard)
+            (create-fretboard context grob predefined-fretboard)))))
 
 
 
@@ -561,26 +592,58 @@ chords.  Returns a placement-list."
 ;; The fret letter is taken from 'fretLabels if present
 (define-public (fret-letter-tablature-format
                 context string-number fret-number)
- (let ((labels (ly:context-property context 'fretLabels)))
-  (make-vcenter-markup
-   (cond
-    ((= 0 (length labels))
-     (string (integer->char (+ fret-number (char->integer #\a)))))
-    ((and (<= 0 fret-number) (< fret-number (length labels)))
-     (list-ref labels fret-number))
-    (else
-     (ly:warning (_ "No label for fret ~a (on string ~a);
+  (let* ((labels (ly:context-property context 'fretLabels))
+         (string-tunings (ly:context-property context 'stringTunings))
+         (string-count (length string-tunings))
+         (letter
+           (cond
+            ((= 0 (length labels))
+             (string (integer->char (+ fret-number (char->integer #\a)))))
+            ((and (<= 0 fret-number) (< fret-number (length labels)))
+             (list-ref labels fret-number))
+            (else
+             (ly:warning
+               (_ "No label for fret ~a (on string ~a);
 only ~a fret labels provided")
-                fret-number string-number (length labels))
-     ".")))))
+               fret-number string-number (length labels))
+             ".")))
+         (add-bass-string-nr ;; starting at zero
+           (- string-number string-count 1)))
+    (make-translate-scaled-markup '(0 . -0.5)
+      ;; For additional bass strings, we add zero up to three "/"-signs before
+      ;; the letter, even more bass strings will get numbers, starting with "4".
+      ;; In the rare case such a string isn't played open, we put out, eg."4b"
+      (make-concat-markup
+        (if (> string-number (+ string-count 4))
+            (list (number->string add-bass-string-nr)
+                  (if (zero? fret-number) "" letter))
+            (list (make-string (max 0 add-bass-string-nr) #\/)
+                  letter))))))
 
 ;; Display the fret number as a number
 (define-public (fret-number-tablature-format
                 context string-number fret-number)
-  (make-vcenter-markup
-    (format #f "~a" fret-number)))
-
-;; The 5-string banjo has got a extra string, the fifth (duh), which
+  (if (integer? fret-number)
+      (make-vcenter-markup
+        (format #f "~a" fret-number))
+      ;; for non-integer fret-number print p.e. "2½"
+      (let* ((whole-part (truncate fret-number))
+             (remaining (- fret-number whole-part))
+             (fret
+               (if (and (zero? whole-part) (not (zero? remaining)))
+                   ""
+                   (format #f "~a" whole-part)))
+             (frac
+               (if (zero? remaining)
+                   ""
+                   (format #f "~a" remaining))))
+        (make-concat-markup
+          (list (make-vcenter-markup fret)
+                (make-vcenter-markup
+                  ;; the value `-2.5' is my choice
+                  (make-fontsize-markup -2.5 frac)))))))
+
+;; The 5-string banjo has got an extra string, the fifth (duh), which
 ;; starts at the fifth fret on the neck.  Frets on the fifth string
 ;; are referred to relative to the other frets:
 ;;   the "first fret" on the fifth string is really the sixth fret
@@ -588,11 +651,11 @@ only ~a fret labels provided")
 ;; We solve this by defining a new fret-number-tablature function:
 (define-public (fret-number-tablature-format-banjo
                 context string-number fret-number)
- (make-vcenter-markup
-  (number->string (cond
-                   ((and (> fret-number 0) (= string-number 5))
-                    (+ fret-number 5))
-                   (else fret-number)))))
 (make-vcenter-markup
+   (number->string (cond
+                    ((and (> fret-number 0) (= string-number 5))
+                     (+ fret-number 5))
+                    (else fret-number)))))
 
 ;;  Tab note head staff position functions
 ;;
@@ -601,27 +664,34 @@ only ~a fret labels provided")
 ;;  lines
 
 (define-public (tablature-position-on-lines context string-number)
- (let* ((string-tunings (ly:context-property context 'stringTunings))
-        (string-count (length string-tunings))
-        (string-one-topmost (ly:context-property context 'stringOneTopmost))
-        (staff-line (- (* 2 string-number) string-count 1)))
-  (if string-one-topmost
-      (- staff-line)
-      staff-line)))
+  (let* ((string-tunings (ly:context-property context 'stringTunings))
+         (string-count (length string-tunings))
+         (string-nr
+           (if (> string-number (length string-tunings))
+               (1+ (length string-tunings))
+               string-number))
+         (string-one-topmost (ly:context-property context 'stringOneTopmost))
+         (staff-line (- (* 2 string-nr) string-count 1)))
+    (if string-one-topmost
+        (- staff-line)
+        staff-line)))
 
 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
 ;; bar numbers
 
-(define-public ((every-nth-bar-number-visible n) barnum mp)
+(define ((every-nth-bar-number-visible n) barnum mp)
   (= 0 (modulo barnum n)))
+(export every-nth-bar-number-visible)
 
-(define-public ((modulo-bar-number-visible n m) barnum mp)
+(define ((modulo-bar-number-visible n m) barnum mp)
   (and (> barnum 1) (= m (modulo barnum n))))
+(export modulo-bar-number-visible)
 
-(define-public ((set-bar-number-visibility n) tr)
+(define ((set-bar-number-visibility n) tr)
   (let ((bn (ly:context-property tr 'currentBarNumber)))
     (ly:context-set-property! tr 'barNumberVisibility
-                             (modulo-bar-number-visible n (modulo bn n)))))
+                              (modulo-bar-number-visible n (modulo bn n)))))
+(export set-bar-number-visibility)
 
 (define-public (first-bar-number-invisible barnum mp)
   (> barnum 1))
@@ -641,14 +711,14 @@ only ~a fret labels provided")
         (cons (+ alt-number (- (expt 26 pow) an)) (1- pow))))
   (define (make-letter so-far an pow)
     (if (< pow 0)
-      so-far
-      (let ((pos (modulo (quotient an (expt 26 pow)) 26)))
-        (make-letter (string-append so-far
-                                    (substring "abcdefghijklmnopqrstuvwxyz"
-                                               pos
-                                               (1+ pos)))
-                   an
-                   (1- pow)))))
+        so-far
+        (let ((pos (modulo (quotient an (expt 26 pow)) 26)))
+          (make-letter (string-append so-far
+                                      (substring "abcdefghijklmnopqrstuvwxyz"
+                                                 pos
+                                                 (1+ pos)))
+                       an
+                       (1- pow)))))
   (let* ((number-and-power (get-number-and-power 0 0))
          (begin-measure (= 0 (ly:moment-main-numerator measure-pos)))
          (maybe-open-parenthesis (if begin-measure "" "("))
@@ -666,43 +736,71 @@ only ~a fret labels provided")
 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
 ;; percent repeat counters
 
-(define-public ((every-nth-repeat-count-visible n) count context)
+(define ((every-nth-repeat-count-visible n) count context)
   (= 0 (modulo count n)))
+(export every-nth-repeat-count-visible)
 
 (define-public (all-repeat-counts-visible count context) #t)
 
 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
-;; make-engraver helper macro
-
-(defmacro-public make-engraver forms
-  "Helper macro for creating Scheme engravers.
-
-The usual form for an engraver is an association list (or alist)
-mapping symbols to either anonymous functions or to another such
-alist.
-
-@code{make-engraver} accepts forms where the first element is either
-an argument list starting with the respective symbol, followed by the
-function body (comparable to the way @code{define} is used for
-defining functions), or a single symbol followed by subordinate forms
-in the same manner.  You can also just make an alist pair
-literally (the @samp{car} is quoted automatically) as long as the
-unevaluated @samp{cdr} is not a pair.  This is useful if you already
-have defined your engraver functions separately.
-
-Symbols mapping to a function would be @code{initialize},
-@code{start-translation-timestep}, @code{process-music},
-@code{process-acknowledged}, @code{stop-translation-timestep}, and
-@code{finalize}.  Symbols mapping to another alist specified in the
-same manner are @code{listeners} with the subordinate symbols being
-event classes, and @code{acknowledgers} and @code{end-acknowledgers}
-with the subordinate symbols being interfaces."
-  (let loop ((forms forms))
-    (if (cheap-list? forms)
-       `(list
-         ,@(map (lambda (form)
-                  (if (pair? (car form))
-                      `(cons ',(caar form) (lambda ,(cdar form) ,@(cdr form)))
-                      `(cons ',(car form) ,(loop (cdr form)))))
-                forms))
-       forms)))
+;; pitch recognition
+
+(define-public (make-semitone->pitch pitches)
+  "Convert @var{pitches}, an unordered list of note values
+covering (after disregarding octaves) all absolute pitches in need of
+conversion, into a function converting semitone numbers (absolute
+pitch missing enharmonic information) back into note values.
+
+For a key signature without accidentals
+@example
+c cis d es e f fis g gis a bes b
+@end example
+might be a good choice, covering Bb major to A major and their
+parallel keys, and melodic/harmonic C minor to A minor."
+  ;; TODO: short-circuit lcm calculation once we know it will be large
+  (let* ((size (apply lcm (map (lambda (pitch)
+                                 (denominator (/ (ly:pitch-tones pitch) 6)))
+                               pitches)))
+         ;; Normal tunings need 12 steps per octave, quartertone
+         ;; tunings 24, Makam needs 108.  But microtunings might cause
+         ;; trouble.
+         (lookup (if (> size 400)
+                     (make-hash-table)
+                     (make-vector size #f))))
+    (for-each
+     (lambda (pitch)
+       (let* ((rawoct (/ (ly:pitch-tones pitch) 6))
+              (oct (floor rawoct))
+              (ref (- rawoct oct))
+              (val (ly:pitch-transpose pitch
+                                       (ly:make-pitch (- oct) 0))))
+         (if (hash-table? lookup)
+             (hashv-set! lookup ref val)
+             (vector-set! lookup (* size ref) val))))
+     pitches)
+    (lambda (semitone)
+      "Convert @var{semitone} numbers into note values.  If the
+originally specified list of pitches does not contain a note
+corresponding to @var{semitone} (disregarding octaves), @code{#f} is
+returned."
+      (let* ((rawoct (/ semitone 12))
+             (oct (floor rawoct))
+             (ref (- rawoct oct))
+             (val (if (hash-table? lookup)
+                      (hashv-ref lookup ref)
+                      (let ((ref (* (vector-length lookup) ref)))
+                        (and (integer? ref)
+                             (vector-ref lookup ref))))))
+        (and val
+             (ly:pitch-transpose val (ly:make-pitch oct 0)))))))
+
+(define ((shift-semitone->pitch key semitone->pitch) semitone)
+  "Given a function @var{semitone->pitch} converting a semitone number
+into a note value for a lookup table created in relation to@tie{}C,
+returns a corresponding function in relation to @var{key}.  The note
+values returned by this function differ only enharmonically from the
+original @var{semitone->pitch} function."
+  (ly:pitch-transpose (semitone->pitch (- semitone (* 2 (ly:pitch-tones key))))
+                      key))
+
+(export shift-semitone->pitch)