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;;;; chord-ignatzek-names.scm --  chord name utility functions
;;;;
;;;; source file of the GNU LilyPond music typesetter
;;;; 
;;;; (c) 2000--2006  Han-Wen Nienhuys <hanwen@cs.uu.nl>



;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;
;; jazz-part 2
;;
;; after Klaus Ignatzek,   Die Jazzmethode fuer Klavier 1.
;; 
;; The idea is: split chords into
;;  
;;  ROOT PREFIXES MAIN-NAME ALTERATIONS SUFFIXES ADDITIONS
;;
;; and put that through a layout routine.
;; 
;; the split is a procedural process, with lots of set!. 
;;


;; todo: naming is confusing: steps  (0 based) vs. steps (1 based).
(define (pitch-step p)
  "Musicological notation for an interval. Eg. C to D is 2."
  (+ 1 (ly:pitch-steps p)))

(define (get-step x ps)
  "Does PS have the X step? Return that step if it does."
  (if (null? ps)
      #f
      (if (= (- x 1) (ly:pitch-steps (car ps)))
	  (car ps) 
	  (get-step x (cdr ps)))))

(define (replace-step p ps)
  "Copy PS, but replace the step of P in PS."
  (if (null? ps)
      '()
      (let* ((t (replace-step p (cdr ps))))
	(if (= (ly:pitch-steps p) (ly:pitch-steps (car ps)))
	    (cons p t)
	    (cons (car ps) t)))))

(define (remove-step x ps)
  "Copy PS, but leave out the Xth step."
  (if (null? ps)
      '()
      (let* ((t (remove-step x (cdr ps))))
	(if (= (- x 1) (ly:pitch-steps (car ps)))
	    t
	    (cons (car ps) t)))))


(define-public (ignatzek-chord-names
		in-pitches bass inversion
		context)

  (define (remove-uptil-step x ps)
    "Copy PS, but leave out everything below the Xth step."
    (if (null? ps)
	'()
	(if (< (ly:pitch-steps (car ps)) (- x 1))
	    (remove-uptil-step x (cdr ps))
	    ps)))
  
  (define name-root (ly:context-property context 'chordRootNamer))
  (define name-note 
    (let ((nn (ly:context-property context 'chordNoteNamer)))
      (if (eq? nn '())
	  ;; replacing the next line with name-root gives guile-error...? -rz

	  ;; apparently sequence of defines is equivalent to let, not let* ? -hwn
	  (ly:context-property context 'chordRootNamer)	  
	  ;; name-root
	  nn)))

  (define (is-natural-alteration? p)
    (= (natural-chord-alteration p) (ly:pitch-alteration p)))
  
  (define (ignatzek-format-chord-name
	   root
	   prefix-modifiers
	   main-name
	   alteration-pitches
	   addition-pitches
	   suffix-modifiers
	   bass-pitch)

    "Format for the given (lists of) pitches. This is actually more
work than classifying the pitches."
    
    (define (filter-main-name p)
      "The main name: don't print anything for natural 5 or 3."
      (if
       (or (not (ly:pitch? p))
	   (and (is-natural-alteration? p)
		(or (= (pitch-step p) 5)
		    (= (pitch-step p) 3))))
       '()
       (list (name-step p))))

    (define (glue-word-to-step word x)
      (make-line-markup 
       (list
	(make-simple-markup word)
	(name-step x))))
    
    (define (suffix-modifier->markup mod)
      (if (or (= 4 (pitch-step mod))
	      (= 2 (pitch-step mod)))
	  (glue-word-to-step "sus" mod)
	  (glue-word-to-step "huh" mod)))
    
    (define (prefix-modifier->markup mod)
      (if (and (= 3 (pitch-step mod))
	       (= FLAT (ly:pitch-alteration mod)))
	  (make-simple-markup "m")
	  (make-simple-markup "huh")))
    
    (define (filter-alterations alters)
      "Filter out uninteresting (natural) pitches from ALTERS."
      
      (define (altered? p)
	(not (is-natural-alteration? p)))
      
      (if
       (null? alters)
       '()
       (let* ((lst (filter altered? alters))
	      (lp (last-pair alters)))

	 ;; we want the highest also if unaltered
	 (if (and (not (altered? (car lp)))
		  (> (pitch-step (car lp)) 5))
	     (append lst (last-pair alters))
	     lst))))

    (define (name-step pitch)
      (define (step-alteration pitch)
	(- (ly:pitch-alteration pitch)
	   (natural-chord-alteration pitch)))

      (let* ((num-markup (make-simple-markup
			  (number->string (pitch-step pitch))))
	     (args (list num-markup))
	     (total (if (= (ly:pitch-alteration pitch) 0)
			(if (= (pitch-step pitch) 7)
			    (list (ly:context-property context 'majorSevenSymbol))
			    args)
			(cons (accidental->markup (step-alteration pitch)) args))))
	
	(make-line-markup total)))

    (let* ((sep (ly:context-property context 'chordNameSeparator))
	   (root-markup (name-root root))
	   (add-markups (map (lambda (x) (glue-word-to-step "add" x))
			     addition-pitches))
	   (filtered-alterations (filter-alterations alteration-pitches))
	   (alterations (map name-step filtered-alterations))
	   (suffixes (map suffix-modifier->markup suffix-modifiers))
	   (prefixes (map prefix-modifier->markup prefix-modifiers))
	   (main-markups (filter-main-name main-name))
	   (to-be-raised-stuff (markup-join
				(append
				 main-markups
				 alterations
				 suffixes
				 add-markups) sep))
	   (base-stuff (if (ly:pitch? bass-pitch)
			   (list sep (name-note bass-pitch))
			   '())))

      (set! base-stuff
	    (append
	     (list root-markup
		   (conditional-kern-before (markup-join prefixes sep)
					    (and (not (null? prefixes))
						 (= (ly:pitch-alteration root) NATURAL))
					    (ly:context-property context 'chordPrefixSpacer))
		   (make-super-markup to-be-raised-stuff))
	     base-stuff))
      (make-line-markup base-stuff)))

  (define (ignatzek-format-exception
	   root
	   exception-markup
	   bass-pitch)

    (make-line-markup
     `(
       ,(name-root root)
       ,exception-markup
       . 
       ,(if (ly:pitch? bass-pitch)
	    (list (ly:context-property context 'chordNameSeparator)
		  (name-note bass-pitch))
	    '()))))

  (let* ((root (car in-pitches))
	 (pitches (map (lambda (x) (ly:pitch-diff x root)) (cdr in-pitches)))
	 (exceptions (ly:context-property context 'chordNameExceptions))
	 (exception (assoc-get pitches exceptions))
	 (prefixes '())
	 (suffixes '())
	 (add-steps '())
	 (main-name #f)
	 (bass-note
	  (if (ly:pitch? inversion)
	      inversion
	      bass))
	 (alterations '()))
    
    (if exception
	(ignatzek-format-exception root exception bass-note)
	
	(begin
	  ;; no exception.
	  ;; handle sus4 and sus2 suffix: if there is a 3 together with
	  ;; sus2 or sus4, then we explicitly say add3.
	  (map
	   (lambda (j)
	     (if (get-step j pitches)
		 (begin
		   (if (get-step 3 pitches)
		       (begin
			 (set! add-steps (cons (get-step 3 pitches) add-steps))
			 (set! pitches (remove-step 3 pitches))))
		   (set! suffixes (cons (get-step j pitches) suffixes)))))
	   '(2 4))

	  ;; do minor-3rd modifier.
	  (if (and (get-step 3 pitches)
		   (= (ly:pitch-alteration (get-step 3 pitches)) FLAT))
	      (set! prefixes (cons (get-step 3 pitches) prefixes)))
	  
	  ;; lazy bum. Should write loop.
	  (cond
	   ((get-step 7 pitches) (set! main-name (get-step 7 pitches)))
	   ((get-step 6 pitches) (set! main-name (get-step 6 pitches)))
	   ((get-step 5 pitches) (set! main-name (get-step 5 pitches)))
	   ((get-step 4 pitches) (set! main-name (get-step 4 pitches)))
	   ((get-step 3 pitches) (set! main-name (get-step 3 pitches))))

	  (let* ((3-diff? (lambda (x y)
			    (= (- (pitch-step y) (pitch-step x)) 2)))
		 (split (split-at-predicate
			 3-diff? (remove-uptil-step 5 pitches))))
	    (set! alterations (append alterations (car split)))
	    (set! add-steps (append add-steps (cdr split)))
	    (set! alterations (delq main-name alterations))
	    (set! add-steps (delq main-name add-steps))


	    ;; chords with natural (5 7 9 11 13) or leading subsequence.
	    ;; etc. are named by the top pitch, without any further
	    ;; alterations.
	    (if (and
		 (ly:pitch? main-name)
		 (= 7 (pitch-step main-name))
		 (is-natural-alteration? main-name)
		 (pair? (remove-uptil-step 7 alterations))
		 (reduce (lambda (x y) (and x y)) #t
			 (map is-natural-alteration? alterations)))
		(begin
		  (set! main-name (last alterations))
		  (set! alterations '())))

	    (ignatzek-format-chord-name
	     root prefixes main-name alterations add-steps suffixes bass-note))))))