(if (< width 0)
(- width)
0))
+ ;; X value farthest from baseline on outside of curve
+ (outer-x (+ base-x width))
+ ;; X extent of bezier sandwich centerline curves
+ (x-extent (ordered-cons base-x outer-x))
(bottom-y (interval-start y-extent))
(top-y (interval-end y-extent))
(if (< width 0)
half-thickness
(- half-thickness))))
- (x-extent (ordered-cons base-x outer-control-x))
;; Vertical distance between a control point
;; and the end point it connects to.
(cons (- x-out-radius) x-out-radius)
(cons (- y-out-radius) y-out-radius))))
+(define-public
+ (make-partial-ellipse-stencil
+ x-radius y-radius start-angle end-angle thick connect fill)
+
+ (define (make-radius-list x-radius y-radius)
+ (apply append
+ (map (lambda (adder)
+ (map (lambda (quadrant)
+ (cons (+ adder (car quadrant))
+ (cdr quadrant)))
+ `((0.0 . (,x-radius . 0.0))
+ (,PI-OVER-TWO . (0.0 . ,y-radius))
+ (,PI . (,(- x-radius) . 0.0))
+ (,THREE-PI-OVER-TWO . (0.0 . ,(- y-radius))))))
+ `(0.0 ,TWO-PI))))
+
+ (define
+ (insert-in-ordered-list ordering-function value inlist cutl? cutr?)
+ (define
+ (helper ordering-function value left-list right-list cutl? cutr?)
+ (if (null? right-list)
+ (append
+ (if cutl? '() left-list)
+ (list value)
+ (if cutr? '() right-list))
+ (if (ordering-function value (car right-list))
+ (append
+ (if cutl? '() left-list)
+ (list value)
+ (if cutr? '() right-list))
+ (helper
+ ordering-function
+ value
+ (append left-list (list (car right-list)))
+ (cdr right-list)
+ cutl?
+ cutr?))))
+ (helper ordering-function value '() inlist cutl? cutr?))
+
+ (define (ordering-function-1 a b) (car< a b))
+
+ (define (ordering-function-2 a b) (car<= a b))
+
+ (define (min-max-crawler min-max side l)
+ (reduce min-max
+ (if (eq? min-max min) 100000 -100000)
+ (map (lambda (x) (side x)) l)))
+
+ (let*
+ ((x-out-radius (+ x-radius (/ thick 2.0)))
+ (y-out-radius (+ y-radius (/ thick 2.0)))
+ (new-end-angle (angle-0-2pi (degrees->radians end-angle)))
+ (end-radius (ellipse-radius x-out-radius y-out-radius new-end-angle))
+ (new-start-angle (angle-0-2pi (degrees->radians start-angle)))
+ (start-radius (ellipse-radius x-out-radius y-out-radius new-start-angle))
+ (radius-list (make-radius-list x-out-radius y-out-radius))
+ (rectangular-end-radius (polar->rectangular end-radius end-angle))
+ (rectangular-start-radius (polar->rectangular start-radius start-angle))
+ (new-end-angle
+ (if (<= new-end-angle new-start-angle)
+ (+ TWO-PI new-end-angle)
+ new-end-angle))
+ (possible-extrema
+ (insert-in-ordered-list
+ ordering-function-2
+ (cons new-end-angle rectangular-end-radius)
+ (insert-in-ordered-list
+ ordering-function-1
+ (cons new-start-angle rectangular-start-radius)
+ radius-list
+ #t
+ #f)
+ #f
+ #t)))
+ (ly:make-stencil
+ (list
+ 'partial-ellipse
+ x-radius
+ y-radius
+ start-angle
+ end-angle
+ thick
+ connect
+ fill)
+ (cons (min-max-crawler min cadr possible-extrema)
+ (min-max-crawler max cadr possible-extrema))
+ (cons (min-max-crawler min cddr possible-extrema)
+ (min-max-crawler max cddr possible-extrema)))))
+
+(define-public
+ (make-connected-shape-stencil pointlist
+ thickness
+ x-scale
+ y-scale
+ connect
+ fill)
+
+ (define (connected-shape-min-max pointlist)
+
+ (define (line-part-min-max x1 x2)
+ (list (min x1 x2) (max x1 x2)))
+
+ (define (bezier-part-min-max x1 x2 x3 x4)
+ ((lambda (x) (list (reduce min 10000 x) (reduce max -10000 x)))
+ (map
+ (lambda (x)
+ (+ (* x1 (expt (- 1 x) 3))
+ (+ (* 3 (* x2 (* (expt (- 1 x) 2) x)))
+ (+ (* 3 (* x3 (* (- 1 x) (expt x 2))))
+ (* x4 (expt x 3))))))
+ (if (< (+ (expt x2 2) (+ (expt x3 2) (* x1 x4)))
+ (+ (* x1 x3) (+ (* x2 x4) (* x2 x3))))
+ (list 0.0 1.0)
+ (filter
+ (lambda (x) (and (>= x 0) (<= x 1)))
+ (append
+ (list 0.0 1.0)
+ (map (lambda (op)
+ (if (not (eqv? 0.0
+ (- (+ x1 (* 3 x3)) (+ x4 (* 3 x2)))))
+ ;; Zeros of the bezier curve
+ (/ (+ (- x1 (* 2 x2))
+ (op x3
+ (sqrt (- (+ (expt x2 2)
+ (+ (expt x3 2) (* x1 x4)))
+ (+ (* x1 x3)
+ (+ (* x2 x4) (* x2 x3)))))))
+ (- (+ x1 (* 3 x3)) (+ x4 (* 3 x2))))
+ ;; Apply L'hopital's rule to get the zeros if 0/0
+ (* (op 0 1)
+ (/ (/ (- x4 x3) 2)
+ (sqrt (- (+ (* x2 x2)
+ (+ (* x3 x3) (* x1 x4)))
+ (+ (* x1 x3)
+ (+ (* x2 x4) (* x2 x3)))))))))
+ (list + -))))))))
+
+ (define (bezier-min-max x1 y1 x2 y2 x3 y3 x4 y4)
+ (map (lambda (x)
+ (apply bezier-part-min-max x))
+ `((,x1 ,x2 ,x3 ,x4) (,y1 ,y2 ,y3 ,y4))))
+
+ (define (line-min-max x1 y1 x2 y2)
+ (map (lambda (x)
+ (apply line-part-min-max x))
+ `((,x1 ,x2) (,y1 ,y2))))
+
+ ((lambda (x)
+ (list
+ (reduce min +inf.0 (map caar x))
+ (reduce max -inf.0 (map cadar x))
+ (reduce min +inf.0 (map caadr x))
+ (reduce max -inf.0 (map cadadr x))))
+ (map (lambda (x)
+ (if (eq? (length x) 8)
+ (apply bezier-min-max x)
+ (apply line-min-max x)))
+ (map (lambda (x y)
+ (append (list (cadr (reverse x)) (car (reverse x))) y))
+ (append (list (list 0 0))
+ (reverse (cdr (reverse pointlist)))) pointlist))))
+
+ (let* ((boundlist (connected-shape-min-max pointlist)))
+ (ly:make-stencil
+ `(connected-shape
+ ',pointlist
+ ',thickness
+ ',x-scale
+ ',y-scale
+ ',connect
+ ',fill)
+ (coord-translate
+ ((if (< x-scale 0) reverse-interval identity)
+ (cons (* x-scale (list-ref boundlist 0))
+ (* x-scale (list-ref boundlist 1))))
+ `(,(/ thickness -2) . ,(/ thickness 2)))
+ (coord-translate
+ ((if (< y-scale 0) reverse-interval identity)
+ (cons (* y-scale (list-ref boundlist 2))
+ (* y-scale (list-ref boundlist 3))))
+ `(,(/ thickness -2) . ,(/ thickness 2))))))
+
(define-public (make-ellipse-stencil x-radius y-radius thickness fill)
"Make an ellipse of x radius @var{x-radius}, y radius @code{y-radius},
and thickness @var{thickness} with fill defined by @code{fill}."
(set! stencil (ly:stencil-add outer inner))
stencil))
-
-(define-public (fontify-text font-metric text)
- "Set TEXT with font FONT-METRIC, returning a stencil."
- (let* ((b (ly:text-dimension font-metric text)))
- (ly:make-stencil
- `(text ,font-metric ,text) (car b) (cdr b))))
-
-(define-public (fontify-text-white scale font-metric text)
- "Set TEXT with scale factor SCALE"
- (let* ((b (ly:text-dimension font-metric text))
- ;;urg -- workaround for using ps font
- (c `(white-text ,(* 2 scale) ,text)))
- ;;urg -- extent is not from ps font, but we hope it's close
- (ly:make-stencil c (car b) (cdr b))))
-
(define-public (stencil-with-color stencil color)
(ly:make-stencil
(list 'color color (ly:stencil-expr stencil))
stencil)
))
-(define-public (dimension-arrows destination max-size)
- "Draw twosided arrow from here to @var{destination}"
-
+(define-public (arrow-stencil-maker start? end?)
+ "Returns a function drawing a line from current point to @var{destination},
+ with optional arrows of @var{max-size} on start and end controlled by
+ @var{start?} and @var{end?}."
+ (lambda (destination max-size)
(let*
((e_x 1+0i)
(e_y 0+1i)
(cons (max 0 (car destination))
(max 0 (cdr destination)))))
- (result (ly:stencil-add arrow-2 arrow-1 line)))
+ (result
+ (ly:stencil-add
+ (if start? arrow-2 empty-stencil)
+ (if end? arrow-1 empty-stencil)
+ line)))
+ result)))
- result))
+(define-public dimension-arrows (arrow-stencil-maker #t #t))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; ANNOTATIONS