-;;; page-layout.scm -- page breaking and page layout
-;;;
+;;;; page-layout.scm -- page breaking and page layout
+;;;;
;;;; source file of the GNU LilyPond music typesetter
;;;;
-;;;; (c) 2004 Jan Nieuwenhuizen <janneke@gnu.org>
+;;;; (c) 2004--2005 Jan Nieuwenhuizen <janneke@gnu.org>
;;;; Han-Wen Nienhuys <hanwen@cs.uu.nl>
(use-modules (oop goops describe)
(define-class <optimally-broken-page-node> ()
(prev #:init-value '() #:accessor node-prev #:init-keyword #:prev)
(page #:init-value 0 #:accessor node-page-number #:init-keyword #:pageno)
+ (force #:init-value 0 #:accessor node-force #:init-keyword #:force)
(penalty #:init-value 0 #:accessor node-penalty #:init-keyword #:penalty)
+ (configuration #:init-value '() #:accessor node-configuration #:init-keyword #:configuration)
(lines #:init-value 0 #:accessor node-lines #:init-keyword #:lines))
(define-method (display (node <optimally-broken-page-node>) port)
" Penalty " (node-penalty node)
"\n")))
-;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
-
-(define TAGLINE
- (string-append "Engraved by LilyPond (version " (lilypond-version) ")"))
-
-;; TODO: take <optimally-broken-page-node> iso. page-number
-;; for all of these functions ?
-
-(define-public (plain-header paper scopes page-number last?)
- "Standard header for a part: page number --outside-- and instrument--centered."
-
- (let* ((props (page-properties paper))
- (pnum
- (if (ly:output-def-lookup paper 'printpagenumber)
- (markup #:bold (number->string page-number))
- ""
- ))
- (instr (ly:modules-lookup scopes 'instrument))
-
- (line (list "" (if (markup? instr) instr "") pnum)))
-
- (if (even? page-number)
- (set! line (reverse line)))
-
- (if (< 1 page-number)
- (interpret-markup
- paper props (make-fill-line-markup line))
- '())
- ))
-
-
-;; TODO: add publisher ID on non-first page.
-(define-public (plain-footer paper scopes page-number last?)
- "Standard footer. Empty, save for first (copyright) and last (tagline) page."
-
- (let*
- ((props (page-properties paper))
- (copyright (ly:modules-lookup scopes 'copyright))
- (tagline-var (ly:modules-lookup scopes 'tagline))
- (tagline (if (markup? tagline-var) tagline-var TAGLINE))
- (stencil #f))
-
- (if last?
- (set! stencil
- (ly:stencil-combine-at-edge
- stencil Y DOWN (interpret-markup paper props tagline)
- 0.0
- )))
-
- (if (and (= 1 page-number)
- (markup? copyright))
+(define-method (node-system-numbers (node <optimally-broken-page-node>))
+ (map ly:paper-system-number (node-lines node)))
- (set! stencil
- (ly:stencil-combine-at-edge
- stencil Y DOWN (interpret-markup paper props copyright)
- 0.0
- )))
+;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
- stencil))
-
-(define (page-headfoot paper scopes number sym sepsym dir last?)
+(define (page-headfoot layout scopes number sym sepsym dir last?)
"Create a stencil including separating space."
- (let*
- ((header-proc (ly:output-def-lookup paper sym))
- (sep (ly:output-def-lookup paper sepsym))
+ (let* ((header-proc (ly:output-def-lookup layout sym))
+ (sep (ly:output-def-lookup layout sepsym))
(stencil (ly:make-stencil "" '(0 . 0) '(0 . 0)))
(head-stencil
(if (procedure? header-proc)
- (header-proc paper scopes number last?)
+ (header-proc layout scopes number last?)
#f)))
- (if (and (number? sep) (ly:stencil? head-stencil))
+ (if (and (number? sep)
+ (ly:stencil? head-stencil)
+ (not (ly:stencil-empty? head-stencil)))
(set! head-stencil
(ly:stencil-combine-at-edge
- stencil Y dir head-stencil
+ stencil Y dir head-stencil
sep 0.0)))
head-stencil))
-(define-public (default-page-music-height paper scopes number last?)
- "Printable area for music and titles; matches default-page-make-stencil."
- (let*
- ((h (- (ly:output-def-lookup paper 'vsize)
- (ly:output-def-lookup paper 'topmargin)
- (ly:output-def-lookup paper 'bottommargin)))
- (head (page-headfoot paper scopes number 'make-header 'headsep UP last?))
- (foot (page-headfoot paper scopes number 'make-footer 'footsep DOWN last?)))
- (- h (if (ly:stencil? head)
- (interval-length (ly:stencil-extent head Y))
- 0)
- (if (ly:stencil? foot)
- (interval-length (ly:stencil-extent foot Y))
- 0))
- ))
-
-
-(define-public (default-page-make-stencil lines paper scopes number last? )
- "Construct a stencil representing the page from LINES. "
- (let*
- ((topmargin (ly:output-def-lookup paper 'topmargin))
-
- ;; TODO: naming vsize/hsize not analogous to TeX.
-
-
- (vsize (ly:output-def-lookup paper 'vsize))
- (hsize (ly:output-def-lookup paper 'hsize))
-
- (lmargin (ly:output-def-lookup paper 'leftmargin))
- (leftmargin (if lmargin
- lmargin
- (/ (- hsize
- (ly:output-def-lookup paper 'linewidth)) 2)))
-
- (rightmargin (ly:output-def-lookup paper 'rightmargin))
- (bottom-edge (- vsize
- (ly:output-def-lookup paper 'bottommargin)))
-
- (head (page-headfoot paper scopes number 'make-header 'headsep UP last?))
- (foot (page-headfoot paper scopes number 'make-footer 'footsep DOWN last?))
- (line-stencils (map ly:paper-system-stencil lines))
- (height-proc (ly:output-def-lookup paper 'page-music-height))
- (music-height (height-proc paper scopes number last?))
- (ragged (ly:output-def-lookup paper 'raggedbottom))
- (ragged-last (ly:output-def-lookup paper 'raggedlastbottom))
- (ragged-bottom (or (eq? #t ragged)
- (and last? (eq? #t ragged-last))))
-
- (spc-left (- music-height
- (apply + (map (lambda (x)
- (interval-length (ly:stencil-extent x Y)))
- line-stencils))))
- (stretchable-lines (remove ly:paper-system-title? (cdr lines)))
- (stretch (if (or (null? stretchable-lines)
- (> spc-left (/ music-height 2))
- ragged-bottom)
- 0.0
- (/ spc-left (length stretchable-lines))))
-
- (page-stencil (ly:make-stencil '()
- (cons leftmargin hsize)
- (cons (- topmargin) 0)))
- (was-title #t))
+(define-public (default-page-music-height layout scopes number last?)
+ "Printable area for music and titles; matches default-page-make-stencil."
+ (let* ((h (- (ly:output-def-lookup layout 'vsize)
+ (ly:output-def-lookup layout 'topmargin)
+ (ly:output-def-lookup layout 'bottommargin)))
+ (head (page-headfoot layout scopes number 'make-header 'headsep UP last?))
+ (foot (page-headfoot layout scopes number 'make-footer 'footsep DOWN last?))
+ (available
+ (- h (if (ly:stencil? head)
+ (interval-length (ly:stencil-extent head Y))
+ 0)
+ (if (ly:stencil? foot)
+ (interval-length (ly:stencil-extent foot Y))
+ 0))))
+
+ ;; (display (list "\n available" available head foot))
+ available))
+
+(define-public (default-page-make-stencil
+ lines offsets layout scopes number last?)
+ "Construct a stencil representing the page from LINES.
+
+ Offsets is a list of increasing numbers. They must be negated to
+create offsets.
+ "
+ (let* ((topmargin (ly:output-def-lookup layout 'topmargin))
+
+ ;; TODO: naming vsize/hsize not analogous to TeX.
+
+ (vsize (ly:output-def-lookup layout 'vsize))
+ (hsize (ly:output-def-lookup layout 'hsize))
+
+ (system-separator-markup (ly:output-def-lookup layout 'systemSeparatorMarkup))
+ (system-separator-stencil (if (markup? system-separator-markup)
+ (interpret-markup layout
+ (page-properties layout)
+ system-separator-markup)
+ #f))
+ (lmargin (ly:output-def-lookup layout 'leftmargin))
+ (leftmargin (if lmargin
+ lmargin
+ (/ (- hsize
+ (ly:output-def-lookup layout 'linewidth)) 2)))
+
+ (rightmargin (ly:output-def-lookup layout 'rightmargin))
+ (bottom-edge (- vsize
+ (ly:output-def-lookup layout 'bottommargin)))
+
+ (head (page-headfoot layout scopes number 'make-header 'headsep UP last?))
+ (foot (page-headfoot layout scopes number 'make-footer 'footsep DOWN last?))
+
+ (head-height (if (ly:stencil? head)
+ (interval-length (ly:stencil-extent head Y))
+ 0.0))
+
+ (height-proc (ly:output-def-lookup layout 'page-music-height))
+
+ (page-stencil (ly:make-stencil '()
+ (cons leftmargin hsize)
+ (cons (- topmargin) 0)))
+ (last-system #f)
+ (last-y 0.0)
+ (add-to-page (lambda (stencil y)
+ (set! page-stencil
+ (ly:stencil-add page-stencil
+ (ly:stencil-translate-axis stencil
+ (- 0 head-height y topmargin) Y)))))
+ (add-system
+ (lambda (stencil-position)
+ (let* ((system (car stencil-position))
+ (stencil (ly:paper-system-stencil system))
+ (y (cadr stencil-position))
+ (is-title (ly:paper-system-title?
+ (car stencil-position))))
+ (add-to-page stencil y)
+ (if (and (ly:stencil? system-separator-stencil)
+ last-system
+ (not (ly:paper-system-title? system))
+ (not (ly:paper-system-title? last-system)))
+ (add-to-page
+ system-separator-stencil
+ (average (- last-y
+ (car (ly:paper-system-staff-extents last-system)))
+ (- y
+ (cdr (ly:paper-system-staff-extents system))))))
+ (set! last-system system)
+ (set! last-y y)))))
+
+ (if #f
+ (display (list
+ "leftmargin" leftmargin "rightmargin" rightmargin)))
(set! page-stencil (ly:stencil-combine-at-edge
- page-stencil Y DOWN head 0. 0.))
-
- (for-each
- (lambda (l)
- (set! page-stencil
- (ly:stencil-combine-at-edge
- page-stencil Y DOWN (ly:paper-system-stencil l)
- (if was-title
- 0.0
- stretch)
- ))
-
- (set! was-title (ly:paper-system-title? l)))
- lines)
+ page-stencil Y DOWN head 0. 0.))
+ (map add-system (zip lines offsets))
(if (ly:stencil? foot)
(set! page-stencil
(ly:stencil-add
(ly:stencil-translate
foot
(cons 0
- (+ (- bottom-edge) (- (car (ly:stencil-extent foot Y)))))
- ))))
-
- (ly:stencil-translate page-stencil (cons leftmargin 0))
- ))
-
-
+ (+ (- bottom-edge)
+ (- (car (ly:stencil-extent foot Y)))))))))
+ (ly:stencil-translate page-stencil (cons leftmargin 0))))
;;; optimal page breaking
;;; This is not optimal page breaking, this is optimal distribution of
;;; lines over pages; line breaks are a given.
-; TODO:
-;
-; - density scoring
-; - separate function for word-wrap style breaking?
-; - raggedbottom? raggedlastbottom?
+;; TODO:
+;;
+;; - density scoring
+;; - separate function for word-wrap style breaking?
+;; - raggedbottom? raggedlastbottom?
(define-public (ly:optimal-page-breaks
lines paper-book)
"Return pages as a list starting with 1st page. Each page is a list
of lines. "
- (define (make-node prev lines page-num penalty)
- (make <optimally-broken-page-node>
- #:prev prev
- #:lines lines
- #:pageno page-num
- #:penalty penalty))
(define MAXPENALTY 1e9)
- (define bookpaper (ly:paper-book-book-paper paper-book))
+ (define paper (ly:paper-book-paper paper-book))
(define scopes (ly:paper-book-scopes paper-book))
- (define (line-height line)
- (ly:paper-system-extent line Y))
-
- ;; FIXME: may need some tweaking: square, cubic
- (define (height-penalty available used)
- ;; FIXME, simplistic
- (let* ((left (- available used))
- ;; scale-independent
- (relative (abs (/ left available))))
- (if (negative? left)
-
- ;; too full, penalise more
- (* 10 (1+ relative) relative)
-
- ;; Convexity: two half-empty pages is better than 1 completely
- ;; empty page
- (* (1+ relative) relative))))
(define (page-height page-number last?)
- (let
- ((p (ly:output-def-lookup bookpaper 'page-music-height)))
+ (let ((p (ly:output-def-lookup paper 'page-music-height)))
(if (procedure? p)
- (p bookpaper scopes page-number last?)
+ (p paper scopes page-number last?)
10000)))
-
- (define (cumulative-height lines)
- (apply + (map line-height lines)))
-
(define (get-path node done)
"Follow NODE.PREV, and return as an ascending list of pages. DONE
is what have collected so far, and has ascending page numbers."
+
(if (is-a? node <optimally-broken-page-node>)
(get-path (node-prev node) (cons node done))
done))
- (define (combine-penalties user page prev)
- (+ prev page user))
+ (define (combine-penalties force user best-paths)
+ (let* ((prev-force (if (null? best-paths)
+ 0.0
+ (node-force (car best-paths))))
+ (prev-penalty (if (null? best-paths)
+ 0.0
+ (node-penalty (car best-paths))))
+ (inter-system-space (ly:output-def-lookup paper 'betweensystemspace))
+ (force-equalization-factor 0.3)
+ (relative-force (/ force inter-system-space))
+ (abs-relative-force (abs relative-force)))
+
+
+ (+ (* abs-relative-force (+ abs-relative-force 1))
+ prev-penalty
+ (* force-equalization-factor (/ (abs (- prev-force force)) inter-system-space))
+ user)))
+
+ (define (space-systems page-height lines ragged?)
+ (let* ((inter-system-space
+ (ly:output-def-lookup paper 'betweensystemspace))
+ (system-vector (list->vector
+ (append lines
+ (if (= (length lines) 1)
+ '(#f)
+ '()))))
+ (staff-extents
+ (list->vector
+ (append (map ly:paper-system-staff-extents lines)
+ (if (= (length lines) 1)
+ '((0 . 0))
+ '()))))
+ (real-extents
+ (list->vector
+ (append
+ (map
+ (lambda (sys) (ly:paper-system-extent sys Y)) lines)
+ (if (= (length lines) 1)
+ '((0 . 0))
+ '()))))
+ (no-systems (vector-length real-extents))
+ (topskip (interval-end (vector-ref real-extents 0)))
+ (space-left (- page-height
+ (apply + (map interval-length (vector->list real-extents)))))
+
+ (space (- page-height
+ topskip
+ (- (interval-start (vector-ref real-extents (1- no-systems))))))
+
+ (fixed-dist (ly:output-def-lookup paper 'betweensystempadding))
+ (calc-spring
+ (lambda (idx)
+ (let* ((this-system-ext (vector-ref staff-extents idx))
+ (next-system-ext (vector-ref staff-extents (1+ idx)))
+ (fixed (max 0 (- (+ (interval-end next-system-ext)
+ fixed-dist)
+ (interval-start this-system-ext))))
+ (title1? (and (vector-ref system-vector idx)
+ (ly:paper-system-title? (vector-ref system-vector idx))))
+ (title2? (and
+ (vector-ref system-vector (1+ idx))
+ (ly:paper-system-title? (vector-ref system-vector (1+ idx)))))
+ (ideal (+
+ (cond
+ ((and title2? title1?)
+ (ly:output-def-lookup paper 'betweentitlespace))
+ (title1?
+ (ly:output-def-lookup paper 'aftertitlespace))
+ (title2?
+ (ly:output-def-lookup paper 'beforetitlespace))
+ (else inter-system-space))
+ fixed))
+ (hooke (/ 1 (- ideal fixed))))
+ (list ideal hooke))))
+
+ (springs (map calc-spring (iota (1- no-systems))))
+ (calc-rod
+ (lambda (idx)
+ (let* ((this-system-ext (vector-ref real-extents idx))
+ (next-system-ext (vector-ref real-extents (1+ idx)))
+ (distance (max (- (+ (interval-end next-system-ext)
+ fixed-dist)
+ (interval-start this-system-ext)
+ ) 0))
+ (entry (list idx (1+ idx) distance)))
+ entry)))
+ (rods (map calc-rod (iota (1- no-systems))))
+
+ ;; we don't set ragged based on amount space left.
+ ;; raggedbottomlast = ##T is much more predictable
+ (result (ly:solve-spring-rod-problem
+ springs rods space
+ ragged?))
+
+ (force (car result))
+ (positions
+ (map (lambda (y)
+ (+ y topskip))
+ (cdr result))))
+
+ (if #f ;; debug.
+ (begin
+ (display (list "\n# systems: " no-systems
+ "\nreal-ext" real-extents "\nstaff-ext" staff-extents
+ "\ninterscore" inter-system-space
+ "\nspace-letf" space-left
+ "\nspring,rod" springs rods
+ "\ntopskip " topskip
+ " space " space
+ "\npage-height" page-height
+ "\nragged" ragged?
+ "\nforce" force
+ "\nres" (cdr result)
+ "\npositions" positions "\n"))))
+
+ (cons force positions)))
(define (walk-paths done-lines best-paths current-lines last? current-best)
"Return the best optimal-page-break-node that contains
CURRENT-BEST is the best result sofar, or #f."
(let* ((this-page-num (if (null? best-paths)
- (ly:output-def-lookup bookpaper 'firstpagenumber)
+ (ly:output-def-lookup paper 'firstpagenumber)
(1+ (node-page-number (car best-paths)))))
- (prev-penalty (if (null? best-paths)
- 0.0
- (node-penalty (car best-paths))))
+
+ (ragged-all? (eq? #t (ly:output-def-lookup paper 'raggedbottom)))
+ (ragged-last? (eq? #t (ly:output-def-lookup paper 'raggedlastbottom)))
+ (ragged? (or ragged-all?
+ (and ragged-last?
+ last?)))
(page-height (page-height this-page-num last?))
- (space-used (cumulative-height current-lines))
- (this-page-penalty (height-penalty page-height space-used))
- (user-penalty (ly:paper-system-break-penalty (car current-lines)))
+ (vertical-spacing (space-systems page-height current-lines ragged?))
+ (satisfied-constraints (car vertical-spacing))
+ (force (if satisfied-constraints
+ (if (and last? ragged-last?)
+ 0.0
+ satisfied-constraints)
+ 10000))
+ (positions (cdr vertical-spacing))
+ (user-nobreak-penalties
+ (-
+ (apply + (filter negative?
+ (map ly:paper-system-break-before-penalty
+ (cdr current-lines))))))
+ (user-penalty
+ (+
+ (max (ly:paper-system-break-before-penalty (car current-lines)) 0.0)
+ user-nobreak-penalties))
(total-penalty (combine-penalties
- user-penalty this-page-penalty prev-penalty))
+ force user-penalty
+ best-paths))
+
+
(better? (or
(not current-best)
(< total-penalty (node-penalty current-best))))
(new-best (if better?
- (make-node (if (null? best-paths)
- #f
- (car best-paths))
- current-lines
- this-page-num total-penalty)
+ (make <optimally-broken-page-node>
+ #:prev (if (null? best-paths)
+ #f
+ (car best-paths))
+ #:lines current-lines
+ #:pageno this-page-num
+ #:force force
+ #:configuration positions
+ #:penalty total-penalty)
current-best)))
-
+
(if #f ;; debug
(display
(list
- "user pen " user-penalty " prev-penalty "
- prev-penalty "\n"
- "better? " better? " total-penalty " total-penalty "\n"
- "height " page-height " spc used: " space-used "\n"
- "pen " this-page-penalty " lines: " current-lines "\n")))
-
+ "\nuser pen " user-penalty
+ "\nsatisfied-constraints" satisfied-constraints
+ "\nlast? " last? "ragged?" ragged?
+ "\nbetter? " better? " total-penalty " total-penalty "\n"
+ "\nconfig " positions
+ "\nforce " force
+ "\nlines: " current-lines "\n")))
+
+ (if #f ; debug
+ (display (list "\nnew-best is " (node-lines new-best)
+ "\ncontinuation of "
+ (if (null? best-paths)
+ "start"
+ (node-lines (car best-paths))))))
+
(if (and (pair? done-lines)
;; if this page is too full, adding another line won't help
- (< this-page-penalty MAXPENALTY))
+ satisfied-constraints)
(walk-paths (cdr done-lines) (cdr best-paths)
(cons (car done-lines) current-lines)
last? new-best)
- new-best)))
+ new-best)))
(define (walk-lines done best-paths todo)
"Return the best page breaking as a single
(let* ((this-line (car todo))
(last? (null? (cdr todo)))
(next (walk-paths done best-paths (list this-line) last? #f)))
-
+
+ ;; (display "\n***************")
(walk-lines (cons this-line done)
(cons next best-paths)
(cdr todo)))))
(define (line-number node)
(ly:paper-system-number (car (node-lines node))))
- (let* ((best-break-node (walk-lines '() '() lines))
- (break-nodes (get-path best-break-node '())))
+ (display (_ "Calculating page breaks...") (current-error-port))
- (if (ly:get-option 'verbose)
+ (let* ((best-break-node (walk-lines '() '() lines))
+ (break-nodes (get-path best-break-node '()))
+ (last-node (car (last-pair break-nodes))))
+
+ (define (node->page-stencil node)
+ (if (not (eq? node last-node))
+ (display "[" (current-error-port)))
+ (let ((stencil
+ ((ly:output-def-lookup paper 'page-make-stencil)
+ (node-lines node)
+ (node-configuration node)
+ paper
+ scopes
+ (node-page-number node)
+ (eq? node best-break-node))))
+ (if (not (eq? node last-node))
+ (begin
+ (display (car (last-pair (node-system-numbers node)))
+ (current-error-port))
+ (display "]" (current-error-port))))
+ stencil))
+
+ (if #f; (ly:get-option 'verbose)
(begin
- (format (current-error-port) "breaks: ~S\n" (map line-number break-nodes))
- (force-output (current-error-port))))
-
-
- ; create stencils.
-
- (map (lambda (node)
- ((ly:output-def-lookup bookpaper 'page-make-stencil)
- (node-lines node)
- bookpaper
- scopes
- (node-page-number node)
- (eq? node best-break-node)))
- break-nodes)))
-
-
+ (display (list
+ "\nbreaks: " (map line-number break-nodes))
+ "\nsystems " (map node-lines break-nodes)
+ "\npenalties " (map node-penalty break-nodes)
+ "\nconfigs " (map node-configuration break-nodes))))
+
+ (let ((stencils (map node->page-stencil break-nodes)))
+ (newline (current-error-port))
+ stencils)))