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mathematical animations with haskell
https://reanimate.github.io
- Haskell 95.8%
- Elm 3.9%
- Nix 0.3%
| Filename | Latest commit message | Latest commit date |
|---|---|---|
| gifs | ||
| src | ||
| ChangeLog.md | ||
| README.md | ||
| reanimate.cabal | ||
| Setup.hs | ||
| stack.yaml | ||
reanimate
Reanimate is a reactive framework for creating non-interactive animations from SVG images. This package consists of a set of arrow combinators, a renderer (using ffmpeg), and a Gtk-based previewer.
The example gifs are rendered at 25 fps.
Examples
Sine wave
sinewave :: Ani ()
sinewave = proc () -> do
duration 10 -< ()
emit -< rect_ [width_ "100%", height_ "100%", fill_ "black"]
idx <- signalOscillate 0 1 -< ()
emit -< do
defs_ $ clipPath_ [id_ "clip"] $
rect_ [x_ "0", num_ y_ (-height), num_ width_ (idx * width), height_ "100%"]
g_ [transform_ $ translate margin height, clip_path_ "url(#clip)"] $
renderPath $ approxFnData 1000 wave
line_ [ num_ x1_ margin, num_ x2_ margin, y1_ "10", y2_ "170"
, stroke_ "white"]
line_ [num_ x1_ margin, num_ x2_ (margin+width), num_ y1_ height, num_ y2_ height
, stroke_ "white"]
circX <- signalOscillate margin (width+margin) -< ()
let circY = height + sin (idx*pi*2*freq) * 50
emit -< circle_ [num_ cx_ circX, num_ cy_ circY, r_ "3", fill_ "red"]
where
freq = 3; margin = 30; width = 260; height = 90
wave idx = (idx*width, sin (idx*pi*2*freq) * 50)
Morphing wave
morph_wave :: Ani ()
morph_wave = proc () -> do
duration 5 -< ()
emit -< rect_ [width_ "100%", height_ "100%", fill_ "black"]
morph <- signalOscillate 0 1 -< ()
emit -< do
g_ [transform_ $ translate 30 50] $ renderPath wave1
g_ [transform_ $ translate 30 130] $ renderPath wave2
g_ [transform_ $ translate 30 90] $ renderPath $ morphPath wave1 wave2 morph
line_ [x1_ "30", x2_ "30", y1_ "10", y2_ "170", stroke_ "white"]
line_ [x1_ "30", x2_ "290", y1_ "90", y2_ "90", stroke_ "white"]
where
freq = 3; width = 260
wave1 = approxFnData 1000 $ \idx -> (idx*width, sin (idx*pi*2*freq) * 20)
wave2 = approxFnData 1000 $ \idx -> (idx*width, sin (idx*pi*2*(freq*3)) * 20)
Morph wave to circle
morph_wave_circle :: Ani ()
morph_wave_circle = proc t -> do
duration 5 -< ()
emit -< rect_ [width_ "100%", height_ "100%", fill_ "black"]
idx <- signalOscillate 0 1 -< ()
emit -< do
g_ [transform_ $ translate 30 90] $
renderPath $ morphPath circle wave1 idx
line_ [x1_ "30", x2_ "30", y1_ "10", y2_ "170", stroke_ "white"]
line_ [x1_ "30", x2_ "290", y1_ "90", y2_ "90", stroke_ "white"]
where
freq = 5; width = 260; radius = 50
wave1 = approxFnData 1000 $ \idx -> (idx*width, sin (idx*pi*2*freq) * 20)
circle = approxFnData 1000 $ \idx ->
(cos (idx*pi*2+pi/2)*radius + width/2, sin (idx*pi*2+pi/2)*radius)
Speed modification
progressMeters :: Ani ()
progressMeters = proc () -> do
emit -< rect_ [width_ "100%", height_ "100%", fill_ "black"]
annotate' (adjustSpeed 1.0 progressMeter) -< g_ [transform_ $ translate 40 20]
annotate' (adjustSpeed 2.0 progressMeter) -< g_ [transform_ $ translate 140 20]
annotate' (adjustSpeed 0.5 progressMeter) -< g_ [transform_ $ translate 240 20]
emit -< do
text_ [x_ "55", y_ "150", font_size_ "20"
, text_anchor_ "middle"
, fill_ "white"] "1x"
text_ [x_ "155", y_ "150", font_size_ "20"
, text_anchor_ "middle"
, fill_ "white"] "2x"
text_ [x_ "255", y_ "150", font_size_ "20"
, text_anchor_ "middle"
, fill_ "white"] "0.5x"
Highlights
Clipping
clip_rect :: Ani ()
clip_rect = proc () -> do
emit -< rect_ [width_ "100%", height_ "100%", fill_ "black"]
follow
[ proc () -> do
sim [ paintStatic prev | prev <- [max 0 (n-4) .. n-1] ] -< ()
sim [ runAni "black" i | i <- [n-4], i>=0 ] -< ()
runAni "white" n -< ()
| n <- [0..15]
] -< ()
where
paintStatic nth = proc () ->
annotate' (obj "white" (20+nth*10) (20+nth*10))
-< g_ [transform_ $ translate 160 90]
runAni color nth = defineAnimation $ proc () ->
annotate' (circle_clip (obj color (20+nth*10) (20+nth*10)))
-< g_ [transform_ $ translate 160 90]
obj c width height = proc () -> do
duration 1 -< ()
emit -< rect_ [ num_ width_ width, num_ height_ height
, num_ x_ (-width/2), num_ y_ (-height/2)
, stroke_ c, fill_opacity_ "0", stroke_width_ "2" ]
scaling
Animations can be reused, scaled and stretched in time. This example reuse four different animations of different lengths, scales their runtime so they're all in sync, and increases the playback speed.
scaling :: Ani ()
scaling = adjustSpeed 2 $ syncAll
[ defineAnimation $ proc () ->
annotate' animation -< g_ [transform_ $ translate x y <> " " <> scale 0.5 0.5]
| x <- [0,160]
, y <- [0,90]
| animation <- [sinewave, morph_wave, highlight, progressMeters]]






