motion-canvas-rs 0.1.9

A high-performance vector animation engine inspired by Motion Canvas, built on Vello and Typst.
Documentation
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
use crate::engine::animation::{Node, Signal};
use glam::Vec2;
use std::collections::HashMap;
use std::sync::{Arc, Mutex};
use std::time::Duration;
use vello::kurbo::{Affine, BezPath, Shape};
use vello::peniko::{Brush, Color, Fill};
use vello::Scene;

lazy_static::lazy_static! {
    static ref GLOBAL_MATH_CACHE: Mutex<HashMap<MathCacheKey, Arc<Vec<(Affine, BezPath)>>>> = Mutex::new(HashMap::new());
}

const DEFAULT_FONT_SIZE: f32 = 32.0;
const DEFAULT_COLOR: Color = Color::WHITE;
const DEFAULT_OPACITY: f32 = 1.0;

const TYPST_MATH_TEMPLATE: &str = r#"
#set text(size: {size}pt)
#show math.equation: set text(font: "{font}")
$ {equation} $
"#;

#[derive(Hash, Eq, PartialEq)]
struct MathCacheKey {
    equation: String,
    font_size_bits: u32,
}

/// A mathematical formula node powered by Typst.
pub struct MathNode {
    /// The absolute position of the formula's transformation origin.
    pub position: Signal<Vec2>,
    /// The rotation in radians.
    pub rotation: Signal<f32>,
    /// The scale factor.
    pub scale: Signal<Vec2>,
    /// The Typst-syntax mathematical equation.
    pub equation: Signal<String>,
    /// The font size in points.
    pub font_size: Signal<f32>,
    /// The fill color of the glyphs.
    pub fill_color: Signal<Color>,
    /// The opacity of the node (0.0 to 1.0).
    pub opacity: Signal<f32>,
    /// Internal transition progress signal (0.0 to 1.0).
    pub transition_progress: Signal<f32>,
    /// The relative transformation origin (anchor).
    /// (-1, -1) is top-left, (0, 0) is center, (1, 1) is bottom-right.
    ///
    /// NOTE: During transitions, MathNode uses a union of the previous and current
    /// bounding boxes to ensure the anchor point remains stable.
    pub anchor: Signal<Vec2>,
    cache: Arc<Mutex<Option<Arc<Vec<(Affine, BezPath)>>>>>,
    prev_cache: Arc<Mutex<Option<Arc<Vec<(Affine, BezPath)>>>>>,
}

impl Default for MathNode {
    fn default() -> Self {
        Self {
            position: Signal::new(Vec2::ZERO),
            rotation: Signal::new(0.0),
            scale: Signal::new(Vec2::ONE),
            equation: Signal::new("".to_string()),
            font_size: Signal::new(DEFAULT_FONT_SIZE),
            fill_color: Signal::new(DEFAULT_COLOR),
            opacity: Signal::new(DEFAULT_OPACITY),
            transition_progress: Signal::new(1.0),
            anchor: Signal::new(Vec2::ZERO),
            cache: Arc::new(Mutex::new(None)),
            prev_cache: Arc::new(Mutex::new(None)),
        }
    }
}

impl Clone for MathNode {
    fn clone(&self) -> Self {
        Self {
            position: self.position.clone(),
            rotation: self.rotation.clone(),
            scale: self.scale.clone(),
            equation: self.equation.clone(),
            font_size: self.font_size.clone(),
            fill_color: self.fill_color.clone(),
            opacity: self.opacity.clone(),
            transition_progress: self.transition_progress.clone(),
            anchor: self.anchor.clone(),
            cache: self.cache.clone(),
            prev_cache: self.prev_cache.clone(),
        }
    }
}

impl MathNode {
    pub fn new(pos: Vec2, equation: &str, size: f32, color: Color) -> Self {
        Self::default()
            .with_position(pos)
            .with_equation(equation)
            .with_font_size(size)
            .with_fill(color)
    }

    pub fn with_position(mut self, position: Vec2) -> Self {
        self.position = Signal::new(position);
        self
    }

    pub fn with_rotation(mut self, angle: f32) -> Self {
        self.rotation = Signal::new(angle);
        self
    }

    pub fn with_scale(mut self, scale: f32) -> Self {
        self.scale = Signal::new(Vec2::splat(scale));
        self
    }

    pub fn with_scale_xy(mut self, scale: Vec2) -> Self {
        self.scale = Signal::new(scale);
        self
    }

    pub fn with_opacity(mut self, opacity: f32) -> Self {
        self.opacity = Signal::new(opacity);
        self
    }

    pub fn tex(
        &self,
        equation: &str,
        duration: Duration,
    ) -> Box<dyn crate::engine::animation::Animation> {
        Box::new(MathTransition {
            node: self.clone(),
            target_eq: equation.to_string(),
            duration,
            tween: None,
        })
    }

    pub fn with_equation(mut self, equation: &str) -> Self {
        self.equation = Signal::new(equation.to_string());
        self
    }

    pub fn with_font_size(mut self, size: f32) -> Self {
        self.font_size = Signal::new(size);
        self
    }

    pub fn with_fill(mut self, color: Color) -> Self {
        self.fill_color = Signal::new(color);
        self
    }

    /// Sets the relative transformation origin (anchor).
    /// (-1, -1) is top-left, (0, 0) is center, (1, 1) is bottom-right.
    ///
    /// NOTE: During transitions, MathNode uses a union of the previous and current
    /// bounding boxes to ensure the anchor point remains perfectly stable.
    pub fn with_anchor(mut self, anchor: Vec2) -> Self {
        self.anchor = Signal::new(anchor);
        self
    }

    pub fn start_transition(&self, new_eq: &str) {
        let prev_eq = self.equation.get();
        if prev_eq == new_eq {
            return;
        }

        self.rebuild_if_needed();

        // 1. Move current cache to prev_cache
        {
            let cache = self.cache.lock().unwrap();
            let mut prev = self.prev_cache.lock().unwrap();
            *prev = cache.clone();
        }

        // 2. Start transition
        self.transition_progress.set(0.0);
        self.equation.set(new_eq.to_string());

        self.rebuild_if_needed();
    }

    fn rebuild_if_needed(&self) {
        let eq = self.equation.get();
        let size = self.font_size.get();

        let key = MathCacheKey {
            equation: eq.clone(),
            font_size_bits: size.to_bits(),
        };

        // 1. Check global cache
        let mut global = GLOBAL_MATH_CACHE.lock().unwrap();
        if let Some(paths) = global.get(&key) {
            let mut local = self.cache.lock().unwrap();
            *local = Some(paths.clone());
            return;
        }

        // 3. Compile
        let mut paths_with_color = Vec::new();
        let (font_name, _) = crate::engine::font::FontManager::get_math_font();
        let typst_code = TYPST_MATH_TEMPLATE
            .replace("{size}", &size.to_string())
            .replace("{font}", &font_name)
            .replace("{equation}", &eq);
        let world = crate::engine::typst_support::TypstWorld::new(&typst_code);
        let output = typst::compile::<typst::layout::PagedDocument>(&world).output;

        match output {
            Ok(document) => {
                for page in document.pages {
                    crate::engine::typst_support::collect_paths(
                        &page.frame,
                        Affine::IDENTITY,
                        &mut paths_with_color,
                    );
                }
            }
            Err(e) => println!("Typst compilation failed: {:?}", e),
        }

        let paths: Arc<Vec<(Affine, BezPath)>> = Arc::new(
            paths_with_color
                .into_iter()
                .map(|(a, _, p)| (a, p))
                .collect(),
        );
        global.insert(key, paths.clone());

        let mut local = self.cache.lock().unwrap();
        *local = Some(paths);
    }
}

struct MathTransition {
    node: MathNode,
    target_eq: String,
    duration: Duration,
    tween: Option<crate::engine::animation::SignalTween<f32>>,
}

impl crate::engine::animation::Animation for MathTransition {
    fn update(&mut self, dt: Duration) -> (bool, Duration) {
        if self.tween.is_none() {
            self.node.start_transition(&self.target_eq);
            self.tween = Some(self.node.transition_progress.to(1.0, self.duration));
        }
        self.tween.as_mut().unwrap().update(dt)
    }
    fn duration(&self) -> Duration {
        self.duration
    }

    fn reset(&mut self) {
        self.tween = None;
    }
}

impl Node for MathNode {
    fn render(&self, scene: &mut Scene, parent_transform: Affine, parent_opacity: f32) {
        let color = self.fill_color.get();

        self.rebuild_if_needed();

        let cache_guard = self.cache.lock().unwrap();
        let progress = self.transition_progress.get();
        let base_opacity = self.opacity.get();

        let pos = self.position.get();
        let rot = self.rotation.get();
        let sc = self.scale.get();
        let anchor = self.anchor.get();

        let mut min_x = f64::MAX;
        let mut min_y = f64::MAX;
        let mut max_x = f64::MIN;
        let mut max_y = f64::MIN;

        if let Some(c) = cache_guard.as_ref() {
            for (glyph_transform, pb) in c.as_ref() {
                let bounds = pb.bounding_box();
                let p0 = *glyph_transform * vello::kurbo::Point::new(bounds.x0, bounds.y0);
                let p1 = *glyph_transform * vello::kurbo::Point::new(bounds.x1, bounds.y1);
                min_x = min_x.min(p0.x).min(p1.x);
                min_y = min_y.min(p0.y).min(p1.y);
                max_x = max_x.max(p0.x).max(p1.x);
                max_y = max_y.max(p0.y).max(p1.y);
            }
        }

        // Use the union of current and previous bounding boxes during transition for absolute stability
        if progress < 1.0 {
            let prev_cache = self.prev_cache.lock().unwrap();
            if let Some(prev) = prev_cache.as_ref() {
                for (glyph_transform, pb) in prev.as_ref() {
                    let bounds = pb.bounding_box();
                    let p0 = *glyph_transform * vello::kurbo::Point::new(bounds.x0, bounds.y0);
                    let p1 = *glyph_transform * vello::kurbo::Point::new(bounds.x1, bounds.y1);
                    min_x = min_x.min(p0.x).min(p1.x);
                    min_y = min_y.min(p0.y).min(p1.y);
                    max_x = max_x.max(p0.x).max(p1.x);
                    max_y = max_y.max(p0.y).max(p1.y);
                }
            }
        }

        let size_vec = if min_x == f64::MAX {
            Vec2::ZERO
        } else {
            Vec2::new((max_x - min_x) as f32, (max_y - min_y) as f32)
        };
        let center_offset = if min_x == f64::MAX {
            Vec2::ZERO
        } else {
            Vec2::new((min_x + max_x) as f32 * 0.5, (min_y + max_y) as f32 * 0.5)
        };

        let anchor_offset = anchor * size_vec * 0.5;

        let local_transform = Affine::translate((pos.x as f64, pos.y as f64))
            * Affine::rotate(rot as f64)
            * Affine::scale_non_uniform(sc.x as f64, sc.y as f64)
            * Affine::translate((-anchor_offset.x as f64, -anchor_offset.y as f64))
            * Affine::translate((-center_offset.x as f64, -center_offset.y as f64));

        let root_transform = parent_transform * local_transform;

        // 1. Draw previous equation if transitioning
        if progress < 1.0 {
            let prev_cache = self.prev_cache.lock().unwrap();
            if let Some(prev) = prev_cache.as_ref() {
                let mut prev_color = color;
                prev_color.a = (color.a as f32 * base_opacity * (1.0 - progress) * parent_opacity)
                    .clamp(0.0, 255.0) as u8;
                for (local_transform, pb) in prev.as_ref() {
                    scene.fill(
                        Fill::NonZero,
                        root_transform * *local_transform,
                        &Brush::Solid(prev_color),
                        None,
                        pb,
                    );
                }
            }
        }

        if let Some(c) = cache_guard.as_ref() {
            let current_alpha = if progress < 1.0 {
                base_opacity * progress
            } else {
                base_opacity
            };
            let mut current_color = color;
            current_color.a =
                (color.a as f32 * current_alpha * parent_opacity).clamp(0.0, 255.0) as u8;

            for (local_transform, pb) in c.as_ref() {
                scene.fill(
                    Fill::NonZero,
                    root_transform * *local_transform,
                    &Brush::Solid(current_color),
                    None,
                    pb,
                );
            }
        }
    }
    fn update(&mut self, _dt: Duration) {}
    fn state_hash(&self) -> u64 {
        use crate::engine::util::hash::Hasher;
        let mut h = Hasher::new();
        h.update_u64(self.position.state_hash());
        h.update_u64(self.rotation.state_hash());
        h.update_u64(self.scale.state_hash());
        h.update_u64(self.equation.state_hash());
        h.update_u64(self.font_size.state_hash());
        h.update_u64(self.fill_color.state_hash());
        h.update_u64(self.opacity.state_hash());
        h.update_u64(self.transition_progress.state_hash());
        h.update_u64(self.anchor.state_hash());
        h.finish()
    }

    fn clone_node(&self) -> Box<dyn Node> {
        Box::new(self.clone())
    }

    fn reset(&mut self) {
        self.position.reset();
        self.rotation.reset();
        self.scale.reset();
        self.equation.reset();
        self.font_size.reset();
        self.fill_color.reset();
        self.opacity.reset();
        self.transition_progress.reset();
        self.anchor.reset();
        *self.cache.lock().unwrap() = None;
        *self.prev_cache.lock().unwrap() = None;
    }
}