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
/* This Source Code Form is subject to the terms of the Mozilla Public
 * License, v. 2.0. If a copy of the MPL was not distributed with this
 * file, You can obtain one at http://mozilla.org/MPL/2.0/. */

#[cfg(feature = "num_traits")]
use num_traits::Zero;
#[cfg(feature = "serde_serialization")]
use serde::{Deserialize, Deserializer, Serialize};

use std::iter::Sum;
use std::{
    default::Default,
    fmt, i32,
    ops::{Add, AddAssign, Div, DivAssign, Mul, MulAssign, Neg, Rem, Sub, SubAssign},
};

/// The number of app units in a pixel.
pub const AU_PER_PX: i32 = 60;
/// The minimum number of app units, same as in Gecko.
pub const MIN_AU: Au = Au(-((1 << 30) - 1));
/// The maximum number of app units, same as in Gecko.
///
/// (1 << 30) - 1 lets us add/subtract two Au and check for overflow after the operation.
pub const MAX_AU: Au = Au((1 << 30) - 1);

#[repr(transparent)]
#[derive(Clone, Copy, Hash, PartialEq, PartialOrd, Eq, Ord, Default)]
#[cfg_attr(feature = "serde_serialization", derive(Serialize), serde(transparent))]
/// An App Unit, the fundamental unit of length in Servo. Usually
/// 1/60th of a pixel (see `AU_PER_PX`)
///
/// Please ensure that the values are between `MIN_AU` and `MAX_AU`.
/// It is safe to construct invalid `Au` values, but it may lead to
/// panics and overflows.
pub struct Au(pub i32);

impl fmt::Debug for Au {
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        write!(f, "{}px", self.to_f64_px())
    }
}

#[cfg(feature = "serde_serialization")]
impl<'de> Deserialize<'de> for Au {
    fn deserialize<D: Deserializer<'de>>(deserializer: D) -> Result<Au, D::Error> {
        Ok(Au(i32::deserialize(deserializer)?).clamp())
    }
}

#[cfg(feature = "num_traits")]
impl Zero for Au {
    #[inline]
    fn zero() -> Au {
        Au(0)
    }

    #[inline]
    fn is_zero(&self) -> bool {
        self.0 == 0
    }
}

impl Add for Au {
    type Output = Au;

    #[inline]
    fn add(self, other: Au) -> Au {
        Au(self.0 + other.0).clamp()
    }
}

impl Sub for Au {
    type Output = Au;

    #[inline]
    fn sub(self, other: Au) -> Au {
        Au(self.0 - other.0).clamp()
    }
}

impl Mul<Au> for i32 {
    type Output = Au;

    #[inline]
    fn mul(self, other: Au) -> Au {
        if let Some(new) = other.0.checked_mul(self) {
            Au(new).clamp()
        } else if (self > 0) ^ (other.0 > 0) {
            MIN_AU
        } else {
            MAX_AU
        }
    }
}

impl Mul<i32> for Au {
    type Output = Au;

    #[inline]
    fn mul(self, other: i32) -> Au {
        if let Some(new) = self.0.checked_mul(other) {
            Au(new).clamp()
        } else if (self.0 > 0) ^ (other > 0) {
            MIN_AU
        } else {
            MAX_AU
        }
    }
}

impl Div for Au {
    type Output = i32;

    #[inline]
    fn div(self, other: Au) -> i32 {
        self.0 / other.0
    }
}

impl Div<i32> for Au {
    type Output = Au;

    #[inline]
    fn div(self, other: i32) -> Au {
        Au(self.0 / other)
    }
}

impl Rem for Au {
    type Output = Au;

    #[inline]
    fn rem(self, other: Au) -> Au {
        Au(self.0 % other.0)
    }
}

impl Rem<i32> for Au {
    type Output = Au;

    #[inline]
    fn rem(self, other: i32) -> Au {
        Au(self.0 % other)
    }
}

impl Neg for Au {
    type Output = Au;

    #[inline]
    fn neg(self) -> Au {
        Au(-self.0)
    }
}

impl AddAssign for Au {
    #[inline]
    fn add_assign(&mut self, other: Au) {
        *self = (*self + other).clamp();
    }
}

impl SubAssign for Au {
    #[inline]
    fn sub_assign(&mut self, other: Au) {
        *self = (*self - other).clamp();
    }
}

impl MulAssign<i32> for Au {
    #[inline]
    fn mul_assign(&mut self, other: i32) {
        *self = (*self * other).clamp();
    }
}

impl DivAssign<i32> for Au {
    #[inline]
    fn div_assign(&mut self, other: i32) {
        *self = (*self / other).clamp();
    }
}

impl<'a> Sum<&'a Self> for Au {
    fn sum<I: Iterator<Item = &'a Self>>(iter: I) -> Self {
        iter.fold(Self::zero(), |a, b| a + *b)
    }
}

impl<'a> Sum<Self> for Au {
    fn sum<I: Iterator<Item = Self>>(iter: I) -> Self {
        iter.fold(Self::zero(), |a, b| a + b)
    }
}

impl Au {
    /// FIXME(pcwalton): Workaround for lack of cross crate inlining of newtype structs!
    #[inline]
    pub fn new(value: i32) -> Au {
        Au(value).clamp()
    }

    #[inline]
    fn clamp(self) -> Self {
        Ord::clamp(self, MIN_AU, MAX_AU)
    }

    #[inline]
    pub fn scale_by(self, factor: f32) -> Au {
        let new_float = ((self.0 as f64) * factor as f64).round();
        Au::from_f64_au(new_float)
    }

    #[inline]
    /// Scale, but truncate (useful for viewport-relative units)
    pub fn scale_by_trunc(self, factor: f32) -> Au {
        let new_float = ((self.0 as f64) * factor as f64).trunc();
        Au::from_f64_au(new_float)
    }

    #[inline]
    pub fn from_f64_au(float: f64) -> Self {
        // We *must* operate in f64. f32 isn't precise enough to handle MAX_AU
        Au(float.clamp(MIN_AU.0 as f64, MAX_AU.0 as f64) as i32)
    }

    #[inline]
    pub fn from_px(px: i32) -> Au {
        Au(px) * AU_PER_PX
    }

    /// Round this app unit down to the pixel towards zero and return it.
    #[inline]
    pub fn to_px(self) -> i32 {
        self.0 / AU_PER_PX
    }

    /// Ceil this app unit to the appropriate pixel boundary and return it.
    #[inline]
    pub fn ceil_to_px(self) -> i32 {
        ((self.0 as f64) / (AU_PER_PX as f64)).ceil() as i32
    }

    #[inline]
    pub fn to_nearest_px(self) -> i32 {
        ((self.0 as f64) / (AU_PER_PX as f64)).round() as i32
    }

    #[inline]
    pub fn to_nearest_pixel(self, pixels_per_px: f32) -> f32 {
        ((self.0 as f32) / (AU_PER_PX as f32) * pixels_per_px).round() / pixels_per_px
    }

    #[inline]
    pub fn to_f32_px(self) -> f32 {
        (self.0 as f32) / (AU_PER_PX as f32)
    }

    #[inline]
    pub fn to_f64_px(self) -> f64 {
        (self.0 as f64) / (AU_PER_PX as f64)
    }

    #[inline]
    pub fn from_f32_px(px: f32) -> Au {
        let float = (px * AU_PER_PX as f32).round();
        Au::from_f64_au(float as f64)
    }

    #[inline]
    pub fn from_f64_px(px: f64) -> Au {
        let float = (px * AU_PER_PX as f64).round();
        Au::from_f64_au(float)
    }

    #[inline]
    pub fn abs(self) -> Self {
        Au(self.0.abs())
    }
}

#[test]
fn create() {
    assert_eq!(Au::zero(), Au(0));
    assert_eq!(Au::default(), Au(0));
    assert_eq!(Au::new(7), Au(7));
}

#[test]
fn operations() {
    assert_eq!(Au(7) + Au(5), Au(12));
    assert_eq!(MAX_AU + Au(1), MAX_AU);

    assert_eq!(Au(7) - Au(5), Au(2));
    assert_eq!(MIN_AU - Au(1), MIN_AU);

    assert_eq!(Au(7) * 5, Au(35));
    assert_eq!(5 * Au(7), Au(35));
    assert_eq!(MAX_AU * -1, MIN_AU);
    assert_eq!(MIN_AU * -1, MAX_AU);
    assert_eq!(-1 * MAX_AU, MIN_AU);
    assert_eq!(-1 * MIN_AU, MAX_AU);

    assert_eq!((Au(14) / 5) * 5 + Au(14) % 5, Au(14));
    assert_eq!((Au(14) / Au(5)) * Au(5) + Au(14) % Au(5), Au(14));

    assert_eq!(Au(35) / 5, Au(7));
    assert_eq!(Au(35) % 6, Au(5));

    assert_eq!(Au(35) / Au(5), 7);
    assert_eq!(Au(35) / Au(5), 7);

    assert_eq!(-Au(7), Au(-7));
}

#[test]
fn saturate() {
    let half = MAX_AU / 2;
    assert_eq!(half + half + half + half + half, MAX_AU);
    assert_eq!(-half - half - half - half - half, MIN_AU);
    assert_eq!(half * -10, MIN_AU);
    assert_eq!(-half * 10, MIN_AU);
    assert_eq!(half * 10, MAX_AU);
    assert_eq!(-half * -10, MAX_AU);
}

#[test]
fn scale() {
    assert_eq!(Au(12).scale_by(1.5), Au(18));
    assert_eq!(Au(12).scale_by(1.7), Au(20));
    assert_eq!(Au(12).scale_by(1.8), Au(22));
    assert_eq!(Au(12).scale_by_trunc(1.8), Au(21));
}

#[test]
fn abs() {
    assert_eq!(Au(-10).abs(), Au(10));
}

#[test]
fn convert() {
    assert_eq!(Au::from_px(5), Au(300));

    assert_eq!(Au(300).to_px(), 5);
    assert_eq!(Au(330).to_px(), 5);
    assert_eq!(Au(350).to_px(), 5);
    assert_eq!(Au(360).to_px(), 6);

    assert_eq!(Au(300).ceil_to_px(), 5);
    assert_eq!(Au(310).ceil_to_px(), 6);
    assert_eq!(Au(330).ceil_to_px(), 6);
    assert_eq!(Au(350).ceil_to_px(), 6);
    assert_eq!(Au(360).ceil_to_px(), 6);

    assert_eq!(Au(300).to_nearest_px(), 5);
    assert_eq!(Au(310).to_nearest_px(), 5);
    assert_eq!(Au(330).to_nearest_px(), 6);
    assert_eq!(Au(350).to_nearest_px(), 6);
    assert_eq!(Au(360).to_nearest_px(), 6);

    assert_eq!(Au(60).to_nearest_pixel(2.), 1.);
    assert_eq!(Au(70).to_nearest_pixel(2.), 1.);
    assert_eq!(Au(80).to_nearest_pixel(2.), 1.5);
    assert_eq!(Au(90).to_nearest_pixel(2.), 1.5);
    assert_eq!(Au(100).to_nearest_pixel(2.), 1.5);
    assert_eq!(Au(110).to_nearest_pixel(2.), 2.);
    assert_eq!(Au(120).to_nearest_pixel(2.), 2.);

    assert_eq!(Au(300).to_f32_px(), 5.);
    assert_eq!(Au(312).to_f32_px(), 5.2);
    assert_eq!(Au(330).to_f32_px(), 5.5);
    assert_eq!(Au(348).to_f32_px(), 5.8);
    assert_eq!(Au(360).to_f32_px(), 6.);
    assert_eq!((Au(367).to_f32_px() * 1000.).round(), 6_117.);
    assert_eq!((Au(368).to_f32_px() * 1000.).round(), 6_133.);

    assert_eq!(Au(300).to_f64_px(), 5.);
    assert_eq!(Au(312).to_f64_px(), 5.2);
    assert_eq!(Au(330).to_f64_px(), 5.5);
    assert_eq!(Au(348).to_f64_px(), 5.8);
    assert_eq!(Au(360).to_f64_px(), 6.);
    assert_eq!((Au(367).to_f64_px() * 1000.).round(), 6_117.);
    assert_eq!((Au(368).to_f64_px() * 1000.).round(), 6_133.);

    assert_eq!(Au::from_f32_px(5.), Au(300));
    assert_eq!(Au::from_f32_px(5.2), Au(312));
    assert_eq!(Au::from_f32_px(5.5), Au(330));
    assert_eq!(Au::from_f32_px(5.8), Au(348));
    assert_eq!(Au::from_f32_px(6.), Au(360));
    assert_eq!(Au::from_f32_px(6.12), Au(367));
    assert_eq!(Au::from_f32_px(6.13), Au(368));

    assert_eq!(Au::from_f64_px(5.), Au(300));
    assert_eq!(Au::from_f64_px(5.2), Au(312));
    assert_eq!(Au::from_f64_px(5.5), Au(330));
    assert_eq!(Au::from_f64_px(5.8), Au(348));
    assert_eq!(Au::from_f64_px(6.), Au(360));
    assert_eq!(Au::from_f64_px(6.12), Au(367));
    assert_eq!(Au::from_f64_px(6.13), Au(368));
}

#[cfg(feature = "serde_serialization")]
#[test]
fn serialize() {
    let serialized = ron::to_string(&Au(42)).unwrap();
    assert_eq!(ron::from_str(&serialized), Ok(Au(42)));
}