jixel 0.2.0

Tiny JPEG XL encoder
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
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
//! Reversible Squeeze transform (modular transform id 2) for progressive lossless.
//! Byte-exact port of libjxl squeeze.cc / enc_squeeze.cc lifting.
#![allow(dead_code)]

/// A modular channel: integer samples in row-major `w`×`h`, plus shifts.
#[derive(Clone)]
pub(crate) struct Channel {
    pub(crate) data: Vec<i32>,
    pub(crate) w: usize,
    pub(crate) h: usize,
    pub(crate) hshift: i32,
    pub(crate) vshift: i32,
}
impl Channel {
    pub(crate) fn new(w: usize, h: usize) -> Self {
        Channel {
            data: vec![0; w * h],
            w,
            h,
            hshift: 0,
            vshift: 0,
        }
    }
    #[inline]
    pub(crate) fn at(&self, x: usize, y: usize) -> i32 {
        self.data[y * self.w + x]
    }
    #[inline]
    pub(crate) fn set(&mut self, x: usize, y: usize, v: i32) {
        self.data[y * self.w + x] = v;
    }
}

#[inline]
fn average(a: i32, b: i32) -> i32 {
    // libjxl: ((X + Y + ((X > Y) ? 1 : 0)) >> 1)   (arithmetic shift)
    ((a as i64 + b as i64 + if a > b { 1 } else { 0 }) >> 1) as i32
}

#[inline]
fn smooth_tendency(b: i64, a: i64, n: i64) -> i64 {
    // byte-exact libjxl SmoothTendency(B,a,n)
    let mut diff = 0i64;
    if b >= a && a >= n {
        diff = (4 * b - 3 * n - a + 6) / 12;
        if diff - (diff & 1) > 2 * (b - a) {
            diff = 2 * (b - a) + 1;
        }
        if diff + (diff & 1) > 2 * (a - n) {
            diff = 2 * (a - n);
        }
    } else if b <= a && a <= n {
        diff = (4 * b - 3 * n - a - 6) / 12;
        if diff + (diff & 1) < 2 * (b - a) {
            diff = 2 * (b - a) - 1;
        }
        if diff - (diff & 1) < 2 * (a - n) {
            diff = 2 * (a - n);
        }
    }
    diff
}

/// Forward horizontal squeeze: returns (avg, residual) channels (FwdHSqueeze).
pub(crate) fn fwd_h_squeeze(chin: &Channel) -> (Channel, Channel) {
    let w = chin.w;
    let h = chin.h;
    let ow = w.div_ceil(2); // avg width
    let rw = w - ow; // residual width
    let mut avg = Channel {
        data: vec![0; ow * h],
        w: ow,
        h,
        hshift: chin.hshift + 1,
        vshift: chin.vshift,
    };
    let mut res = Channel {
        data: vec![0; rw * h],
        w: rw,
        h,
        hshift: chin.hshift + 1,
        vshift: chin.vshift,
    };
    for y in 0..h {
        let row = &chin.data[y * w..y * w + w];
        for x in 0..rw {
            let a_pix = row[2 * x];
            let b_pix = row[2 * x + 1];
            let av = average(a_pix, b_pix);
            avg.data[y * ow + x] = av;
            let diff = a_pix - b_pix;
            let next_avg = if 2 * x + 2 < 2 * rw {
                average(row[2 * x + 2], row[2 * x + 3])
            } else if w & 1 == 1 {
                row[2 * x + 2]
            } else {
                av
            };
            let left = if x > 0 { row[2 * x - 1] } else { av };
            let tendency = smooth_tendency(left as i64, av as i64, next_avg as i64);
            res.data[y * rw + x] = (diff as i64 - tendency) as i32;
        }
        if w & 1 == 1 {
            avg.data[y * ow + (ow - 1)] = row[2 * (ow - 1)];
        }
    }
    (avg, res)
}

/// Inverse horizontal squeeze (InvHSqueeze scalar path) — for self-verification.
pub(crate) fn inv_h_squeeze(avg: &Channel, res: &Channel) -> Channel {
    let ow = avg.w;
    let rw = res.w;
    let w = ow + rw;
    let h = avg.h;
    let mut out = Channel {
        data: vec![0; w * h],
        w,
        h,
        hshift: avg.hshift - 1,
        vshift: avg.vshift,
    };
    for y in 0..h {
        for x in 0..rw {
            let av = avg.data[y * ow + x] as i64;
            let next_avg = if x + 1 < ow {
                avg.data[y * ow + x + 1] as i64
            } else {
                av
            };
            let left = if x > 0 {
                out.data[y * w + 2 * x - 1] as i64
            } else {
                av
            };
            let tendency = smooth_tendency(left, av, next_avg);
            let diff = res.data[y * rw + x] as i64 + tendency;
            let a_pix = av + (diff / 2);
            out.data[y * w + 2 * x] = a_pix as i32;
            out.data[y * w + 2 * x + 1] = (a_pix - diff) as i32;
        }
        if ow > rw {
            out.data[y * w + (w - 1)] = avg.data[y * ow + (ow - 1)];
        }
    }
    out
}

/// Forward vertical squeeze: returns (avg, residual) (FwdVSqueeze).
pub(crate) fn fwd_v_squeeze(chin: &Channel) -> (Channel, Channel) {
    let w = chin.w;
    let h = chin.h;
    let oh = h.div_ceil(2);
    let rh = h - oh;
    let mut avg = Channel {
        data: vec![0; w * oh],
        w,
        h: oh,
        hshift: chin.hshift,
        vshift: chin.vshift + 1,
    };
    let mut res = Channel {
        data: vec![0; w * rh],
        w,
        h: rh,
        hshift: chin.hshift,
        vshift: chin.vshift + 1,
    };
    for y in 0..rh {
        let row_a = &chin.data[(2 * y) * w..(2 * y) * w + w];
        let row_b = &chin.data[(2 * y + 1) * w..(2 * y + 1) * w + w];
        let row_top: Option<&[i32]> = if y > 0 {
            Some(&chin.data[(2 * y - 1) * w..(2 * y - 1) * w + w])
        } else {
            None
        };
        // next-average source: a full pair (2y+2,2y+3), a lone row (2y+2), or none.
        let next_pair: Option<(&[i32], &[i32])> = if 2 * y + 2 < 2 * rh {
            Some((
                &chin.data[(2 * y + 2) * w..(2 * y + 2) * w + w],
                &chin.data[(2 * y + 3) * w..(2 * y + 3) * w + w],
            ))
        } else {
            None
        };
        let next_lone: Option<&[i32]> = if next_pair.is_none() && h & 1 == 1 {
            Some(&chin.data[(2 * y + 2) * w..(2 * y + 2) * w + w])
        } else {
            None
        };
        let avg_out = &mut avg.data[y * w..y * w + w];
        let res_out = &mut res.data[y * w..y * w + w];
        for x in 0..w {
            let a_pix = row_a[x];
            let b_pix = row_b[x];
            let av = average(a_pix, b_pix);
            avg_out[x] = av;
            let diff = a_pix - b_pix;
            let next_avg = match next_pair {
                Some((r2, r3)) => average(r2[x], r3[x]),
                None => match next_lone {
                    Some(r2) => r2[x],
                    None => av,
                },
            };
            let top = match row_top {
                Some(rt) => rt[x],
                None => av,
            };
            let tendency = smooth_tendency(top as i64, av as i64, next_avg as i64);
            res_out[x] = (diff as i64 - tendency) as i32;
        }
    }
    if h & 1 == 1 {
        let src = &chin.data[(2 * (oh - 1)) * w..(2 * (oh - 1)) * w + w];
        avg.data[(oh - 1) * w..(oh - 1) * w + w].copy_from_slice(src);
    }
    (avg, res)
}

pub(crate) fn inv_v_squeeze(avg: &Channel, res: &Channel) -> Channel {
    let w = avg.w;
    let oh = avg.h;
    let rh = res.h;
    let h = oh + rh;
    let mut out = Channel {
        data: vec![0; w * h],
        w,
        h,
        hshift: avg.hshift,
        vshift: avg.vshift - 1,
    };
    for x in 0..w {
        for y in 0..rh {
            let av = avg.data[y * w + x] as i64;
            let next_avg = if y + 1 < oh {
                avg.data[(y + 1) * w + x] as i64
            } else {
                av
            };
            let top = if y > 0 {
                out.data[(2 * y - 1) * w + x] as i64
            } else {
                av
            };
            let tendency = smooth_tendency(top, av, next_avg);
            let diff = res.data[y * w + x] as i64 + tendency;
            let a_pix = av + (diff / 2);
            out.data[(2 * y) * w + x] = a_pix as i32;
            out.data[(2 * y + 1) * w + x] = (a_pix - diff) as i32;
        }
        if oh > rh {
            out.data[(h - 1) * w + x] = avg.data[(oh - 1) * w + x];
        }
    }
    out
}

/// One squeeze step (matches libjxl SqueezeParams).
#[derive(Clone, Copy, Debug)]
pub(crate) struct SqueezeStep {
    pub horizontal: bool,
    pub in_place: bool,
    pub begin_c: usize,
    pub num_c: usize,
}

/// Apply a forward squeeze step to a channel list (matches MetaSqueeze ordering:
/// channel[c] becomes its average; the residual is inserted at offset+(c-begin_c),
/// offset = endc+1 for in-place, else end of list).
pub(crate) fn apply_step_forward(channels: &mut Vec<Channel>, s: &SqueezeStep) {
    let endc = s.begin_c + s.num_c - 1;
    let offset = if s.in_place { endc + 1 } else { channels.len() };
    for i in 0..s.num_c {
        let c = s.begin_c + i;
        let (avg, res) = if s.horizontal {
            fwd_h_squeeze(&channels[c])
        } else {
            fwd_v_squeeze(&channels[c])
        };
        channels[c] = avg;
        channels.insert(offset + i, res);
    }
}

/// Invert one squeeze step (for self-verification; reverses apply_step_forward).
pub(crate) fn apply_step_inverse(channels: &mut Vec<Channel>, s: &SqueezeStep) {
    let endc = s.begin_c + s.num_c - 1;
    let offset = if s.in_place {
        endc + 1
    } else {
        channels.len() - s.num_c
    };
    // Remove residuals from the back so indices stay valid, recombining each.
    for i in (0..s.num_c).rev() {
        let c = s.begin_c + i;
        let res = channels.remove(offset + i);
        let avg = &channels[c];
        let full = if s.horizontal {
            inv_h_squeeze(avg, &res)
        } else {
            inv_v_squeeze(avg, &res)
        };
        channels[c] = full;
    }
}

/// Build a simple alternating H/V pyramid over channels [0,num_c), squeezing
/// until both dimensions are <= 8 (kMaxFirstPreviewSize). Valid, explicit
/// (signaled) sequence — need not match libjxl's chroma-first default.
pub(crate) fn default_squeeze_steps(mut w: usize, mut h: usize, num_c: usize) -> Vec<SqueezeStep> {
    let mut steps = Vec::new();
    const MAX_PREVIEW: usize = 8;
    while w > MAX_PREVIEW || h > MAX_PREVIEW {
        if w > MAX_PREVIEW {
            steps.push(SqueezeStep {
                horizontal: true,
                in_place: true,
                begin_c: 0,
                num_c,
            });
            w = w.div_ceil(2);
        }
        if h > MAX_PREVIEW {
            steps.push(SqueezeStep {
                horizontal: false,
                in_place: true,
                begin_c: 0,
                num_c,
            });
            h = h.div_ceil(2);
        }
    }
    steps
}

#[cfg(test)]
mod tests {
    use super::*;
    fn rnd(seed: &mut u64) -> i32 {
        *seed = seed
            .wrapping_mul(6364136223846793005)
            .wrapping_add(1442695040888963407);
        ((*seed >> 33) as i32 % 1001) - 500
    }
    #[test]
    fn h_squeeze_roundtrips_identity() {
        let mut s = 12345u64;
        for _ in 0..400 {
            let w = 1 + (rnd(&mut s).unsigned_abs() as usize % 40);
            let h = 1 + (rnd(&mut s).unsigned_abs() as usize % 8);
            let mut c = Channel::new(w, h);
            for v in c.data.iter_mut() {
                *v = rnd(&mut s);
            }
            let (avg, res) = fwd_h_squeeze(&c);
            let rec = inv_h_squeeze(&avg, &res);
            assert_eq!(
                rec.data, c.data,
                "H squeeze roundtrip failed w={} h={}",
                w, h
            );
        }
    }
    #[test]
    fn v_squeeze_roundtrips_identity() {
        let mut s = 999u64;
        for _ in 0..400 {
            let w = 1 + (rnd(&mut s).unsigned_abs() as usize % 8);
            let h = 1 + (rnd(&mut s).unsigned_abs() as usize % 40);
            let mut c = Channel::new(w, h);
            for v in c.data.iter_mut() {
                *v = rnd(&mut s);
            }
            let (avg, res) = fwd_v_squeeze(&c);
            let rec = inv_v_squeeze(&avg, &res);
            assert_eq!(
                rec.data, c.data,
                "V squeeze roundtrip failed w={} h={}",
                w, h
            );
        }
    }
    #[test]
    fn default_pyramid_roundtrips_identity() {
        // Apply the full alternating H/V pyramid to 3 channels, then invert the
        // whole sequence in reverse, and check every channel is bit-identical.
        let mut s = 424242u64;
        for &(w, h) in &[
            (256usize, 256usize),
            (255, 257),
            (40, 9),
            (9, 40),
            (17, 17),
            (8, 8),
        ] {
            let orig: Vec<Channel> = (0..3)
                .map(|_| {
                    let mut c = Channel::new(w, h);
                    for v in c.data.iter_mut() {
                        *v = rnd(&mut s);
                    }
                    c
                })
                .collect();
            let steps = default_squeeze_steps(w, h, 3);
            let mut chans = orig.clone();
            for st in &steps {
                apply_step_forward(&mut chans, st);
            }
            // invert in reverse order
            for st in steps.iter().rev() {
                apply_step_inverse(&mut chans, st);
            }
            assert_eq!(chans.len(), 3, "channel count not restored ({}x{})", w, h);
            for c in 0..3 {
                assert_eq!(
                    chans[c].data, orig[c].data,
                    "pyramid roundtrip failed ch{} {}x{}",
                    c, w, h
                );
                assert_eq!(
                    (chans[c].w, chans[c].h),
                    (w, h),
                    "dims not restored ch{} {}x{}",
                    c,
                    w,
                    h
                );
            }
        }
    }
}