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
use emath::{remap_clamp, Rect};

use crate::{FontImage, ImageDelta};

#[derive(Clone, Copy, Debug, Eq, PartialEq)]
struct Rectu {
    /// inclusive
    min_x: usize,

    /// inclusive
    min_y: usize,

    /// exclusive
    max_x: usize,

    /// exclusive
    max_y: usize,
}

impl Rectu {
    const NOTHING: Self = Self {
        min_x: usize::MAX,
        min_y: usize::MAX,
        max_x: 0,
        max_y: 0,
    };
    const EVERYTHING: Self = Self {
        min_x: 0,
        min_y: 0,
        max_x: usize::MAX,
        max_y: usize::MAX,
    };
}

#[derive(Copy, Clone, Debug)]
struct PrerasterizedDisc {
    r: f32,
    uv: Rectu,
}

/// A pre-rasterized disc (filled circle), somewhere in the texture atlas.
#[derive(Copy, Clone, Debug)]
pub struct PreparedDisc {
    /// The radius of this disc in texels.
    pub r: f32,

    /// Width in texels.
    pub w: f32,

    /// Where in the texture atlas the disc is.
    /// Normalized in 0-1 range.
    pub uv: Rect,
}

/// Contains font data in an atlas, where each character occupied a small rectangle.
///
/// More characters can be added, possibly expanding the texture.
#[derive(Clone)]
pub struct TextureAtlas {
    image: FontImage,

    /// What part of the image that is dirty
    dirty: Rectu,

    /// Used for when allocating new rectangles.
    cursor: (usize, usize),

    row_height: usize,

    /// Set when someone requested more space than was available.
    overflowed: bool,

    /// pre-rasterized discs of radii `2^i`, where `i` is the index.
    discs: Vec<PrerasterizedDisc>,
}

impl TextureAtlas {
    pub fn new(size: [usize; 2]) -> Self {
        assert!(size[0] >= 1024, "Tiny texture atlas");
        let mut atlas = Self {
            image: FontImage::new(size),
            dirty: Rectu::EVERYTHING,
            cursor: (0, 0),
            row_height: 0,
            overflowed: false,
            discs: vec![], // will be filled in below
        };

        // Make the top left pixel fully white for `WHITE_UV`, i.e. painting something with solid color:
        let (pos, image) = atlas.allocate((1, 1));
        assert_eq!(pos, (0, 0));
        image[pos] = 1.0;

        // Allocate a series of anti-aliased discs used to render small filled circles:
        // TODO(emilk): these circles can be packed A LOT better.
        // In fact, the whole texture atlas could be packed a lot better.
        // for r in [1, 2, 4, 8, 16, 32, 64] {
        //     let w = 2 * r + 3;
        //     let hw = w as i32 / 2;
        const LARGEST_CIRCLE_RADIUS: f32 = 8.0; // keep small so that the initial texture atlas is small
        for i in 0.. {
            let r = 2.0_f32.powf(i as f32 / 2.0 - 1.0);
            if r > LARGEST_CIRCLE_RADIUS {
                break;
            }
            let hw = (r + 0.5).ceil() as i32;
            let w = (2 * hw + 1) as usize;
            let ((x, y), image) = atlas.allocate((w, w));
            for dx in -hw..=hw {
                for dy in -hw..=hw {
                    let distance_to_center = ((dx * dx + dy * dy) as f32).sqrt();
                    let coverage =
                        remap_clamp(distance_to_center, (r - 0.5)..=(r + 0.5), 1.0..=0.0);
                    image[((x as i32 + hw + dx) as usize, (y as i32 + hw + dy) as usize)] =
                        coverage;
                }
            }
            atlas.discs.push(PrerasterizedDisc {
                r,
                uv: Rectu {
                    min_x: x,
                    min_y: y,
                    max_x: x + w,
                    max_y: y + w,
                },
            });
        }

        atlas
    }

    pub fn size(&self) -> [usize; 2] {
        self.image.size
    }

    /// Returns the locations and sizes of pre-rasterized discs (filled circles) in this atlas.
    pub fn prepared_discs(&self) -> Vec<PreparedDisc> {
        let size = self.size();
        let inv_w = 1.0 / size[0] as f32;
        let inv_h = 1.0 / size[1] as f32;
        self.discs
            .iter()
            .map(|disc| {
                let r = disc.r;
                let Rectu {
                    min_x,
                    min_y,
                    max_x,
                    max_y,
                } = disc.uv;
                let w = max_x - min_x;
                let uv = Rect::from_min_max(
                    emath::pos2(min_x as f32 * inv_w, min_y as f32 * inv_h),
                    emath::pos2(max_x as f32 * inv_w, max_y as f32 * inv_h),
                );
                PreparedDisc { r, w: w as f32, uv }
            })
            .collect()
    }

    fn max_height(&self) -> usize {
        // the initial width is likely the max texture side size
        self.image.width()
    }

    /// When this get high, it might be time to clear and start over!
    pub fn fill_ratio(&self) -> f32 {
        if self.overflowed {
            1.0
        } else {
            (self.cursor.1 + self.row_height) as f32 / self.max_height() as f32
        }
    }

    /// The texture options suitable for a font texture
    #[inline]
    pub fn texture_options() -> crate::textures::TextureOptions {
        crate::textures::TextureOptions::LINEAR
    }

    /// The full font atlas image.
    #[inline]
    pub fn image(&self) -> &FontImage {
        &self.image
    }

    /// Call to get the change to the image since last call.
    pub fn take_delta(&mut self) -> Option<ImageDelta> {
        let texture_options = Self::texture_options();

        let dirty = std::mem::replace(&mut self.dirty, Rectu::NOTHING);
        if dirty == Rectu::NOTHING {
            None
        } else if dirty == Rectu::EVERYTHING {
            Some(ImageDelta::full(self.image.clone(), texture_options))
        } else {
            let pos = [dirty.min_x, dirty.min_y];
            let size = [dirty.max_x - dirty.min_x, dirty.max_y - dirty.min_y];
            let region = self.image.region(pos, size);
            Some(ImageDelta::partial(pos, region, texture_options))
        }
    }

    /// Returns the coordinates of where the rect ended up,
    /// and invalidates the region.
    pub fn allocate(&mut self, (w, h): (usize, usize)) -> ((usize, usize), &mut FontImage) {
        /// On some low-precision GPUs (my old iPad) characters get muddled up
        /// if we don't add some empty pixels between the characters.
        /// On modern high-precision GPUs this is not needed.
        const PADDING: usize = 1;

        assert!(
            w <= self.image.width(),
            "Tried to allocate a {} wide glyph in a {} wide texture atlas",
            w,
            self.image.width()
        );
        if self.cursor.0 + w > self.image.width() {
            // New row:
            self.cursor.0 = 0;
            self.cursor.1 += self.row_height + PADDING;
            self.row_height = 0;
        }

        self.row_height = self.row_height.max(h);

        let required_height = self.cursor.1 + self.row_height;

        if required_height > self.max_height() {
            // This is a bad place to be - we need to start reusing space :/

            #[cfg(feature = "log")]
            log::warn!("epaint texture atlas overflowed!");

            self.cursor = (0, self.image.height() / 3); // Restart a bit down - the top of the atlas has too many important things in it
            self.overflowed = true; // this will signal the user that we need to recreate the texture atlas next frame.
        } else if resize_to_min_height(&mut self.image, required_height) {
            self.dirty = Rectu::EVERYTHING;
        }

        let pos = self.cursor;
        self.cursor.0 += w + PADDING;

        self.dirty.min_x = self.dirty.min_x.min(pos.0);
        self.dirty.min_y = self.dirty.min_y.min(pos.1);
        self.dirty.max_x = self.dirty.max_x.max(pos.0 + w);
        self.dirty.max_y = self.dirty.max_y.max(pos.1 + h);

        (pos, &mut self.image)
    }
}

fn resize_to_min_height(image: &mut FontImage, required_height: usize) -> bool {
    while required_height >= image.height() {
        image.size[1] *= 2; // double the height
    }

    if image.width() * image.height() > image.pixels.len() {
        image.pixels.resize(image.width() * image.height(), 0.0);
        true
    } else {
        false
    }
}