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
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
use std::ops::DerefMut;
use std::sync::Arc;
use std::thread;
use crate::core::camera::Camera;
use crate::core::film::Film;
use crate::core::geometry::{Bounds2f, Bounds2i, Point2f, Point2i};
use crate::core::integrator::compute_light_power_distribution;
use crate::core::pbrt::erf_inv;
use crate::core::pbrt::SQRT_2;
use crate::core::pbrt::{Float, Spectrum};
use crate::core::rng::Rng;
use crate::core::sampler::Sampler;
use crate::core::sampling::Distribution1D;
use crate::core::scene::Scene;
use crate::integrators::bdpt::Vertex;
use crate::integrators::bdpt::{connect_bdpt, generate_camera_subpath, generate_light_subpath};
use rayon::prelude::*;
pub const CAMERA_STREAM_INDEX: u8 = 0;
pub const LIGHT_STREAM_INDEX: u8 = 1;
pub const CONNECTION_STREAM_INDEX: u8 = 2;
pub const N_SAMPLE_STREAMS: u8 = 3;
#[derive(Debug, Default, Copy, Clone)]
pub struct PrimarySample {
pub value: Float,
pub last_modification_iteration: i64,
pub value_backup: Float,
pub modify_backup: i64,
}
impl PrimarySample {
pub fn backup(&mut self) {
self.value_backup = self.value;
self.modify_backup = self.last_modification_iteration;
}
pub fn restore(&mut self) {
self.value = self.value_backup;
self.last_modification_iteration = self.modify_backup;
}
}
#[derive(Clone)]
pub struct MLTSampler {
pub samples_per_pixel: i64,
pub rng: Rng,
pub sigma: Float,
pub large_step_probability: Float,
pub stream_count: i32,
pub x: Vec<PrimarySample>,
pub current_iteration: i64,
pub large_step: bool,
pub last_large_step_iteration: i64,
pub stream_index: i32,
pub sample_index: i32,
pub current_pixel: Point2i,
pub current_pixel_sample_index: i64,
pub samples_1d_array_sizes: Vec<i32>,
pub samples_2d_array_sizes: Vec<i32>,
pub sample_array_1d: Vec<Vec<Float>>,
pub sample_array_2d: Vec<Vec<Point2f>>,
pub array_1d_offset: usize,
pub array_2d_offset: usize,
}
impl MLTSampler {
pub fn new(
mutations_per_pixel: i64,
rng_sequence_index: u64,
sigma: Float,
large_step_probability: Float,
stream_count: i32,
) -> Self {
let mut rng: Rng = Rng::default();
rng.set_sequence(rng_sequence_index);
MLTSampler {
samples_per_pixel: mutations_per_pixel,
rng,
sigma,
large_step_probability,
stream_count,
x: Vec::new(),
current_iteration: 0_i64,
large_step: true,
last_large_step_iteration: 0_i64,
stream_index: 0_i32,
sample_index: 0_i32,
current_pixel: Point2i::default(),
current_pixel_sample_index: 0_i64,
samples_1d_array_sizes: Vec::new(),
samples_2d_array_sizes: Vec::new(),
sample_array_1d: Vec::new(),
sample_array_2d: Vec::new(),
array_1d_offset: 0_usize,
array_2d_offset: 0_usize,
}
}
pub fn clone_with_seed(&self, _seed: u64) -> Box<Sampler> {
let mlt_sampler = MLTSampler {
samples_per_pixel: self.samples_per_pixel,
rng: self.rng,
sigma: self.sigma,
large_step_probability: self.large_step_probability,
stream_count: self.stream_count,
x: self.x.clone(),
current_iteration: self.current_iteration,
large_step: self.large_step,
last_large_step_iteration: self.last_large_step_iteration,
stream_index: self.stream_index,
sample_index: self.sample_index,
current_pixel: self.current_pixel,
current_pixel_sample_index: self.current_pixel_sample_index,
samples_1d_array_sizes: self.samples_1d_array_sizes.to_vec(),
samples_2d_array_sizes: self.samples_2d_array_sizes.to_vec(),
sample_array_1d: self.sample_array_1d.to_vec(),
sample_array_2d: self.sample_array_2d.to_vec(),
array_1d_offset: self.array_1d_offset,
array_2d_offset: self.array_2d_offset,
};
let sampler = Sampler::MLT(mlt_sampler);
Box::new(sampler)
}
pub fn start_iteration(&mut self) {
self.current_iteration += 1;
self.large_step = self.rng.uniform_float() < self.large_step_probability;
}
pub fn accept(&mut self) {
if self.large_step {
self.last_large_step_iteration = self.current_iteration;
}
}
pub fn reject(&mut self) {
for i in 0..self.x.len() {
if let Some(xi) = self.x.get_mut(i as usize) {
if xi.last_modification_iteration == self.current_iteration {
xi.restore();
}
} else {
panic!("self.x.get_mut({:?}) failed", i);
}
}
self.current_iteration -= 1;
}
pub fn start_stream(&mut self, index: i32) {
assert!(index < self.stream_count);
self.stream_index = index;
self.sample_index = 0;
}
pub fn get_next_index(&mut self) -> i32 {
let ret = self.stream_index + self.stream_count * self.sample_index;
self.sample_index += 1;
ret
}
fn ensure_ready(&mut self, index: i32) {
if index as usize >= self.x.len() {
self.x
.resize((index + 1) as usize, PrimarySample::default());
}
if let Some(xi) = self.x.get_mut(index as usize) {
if xi.last_modification_iteration < self.last_large_step_iteration {
xi.value = self.rng.uniform_float();
xi.last_modification_iteration = self.last_large_step_iteration;
}
xi.backup();
if self.large_step {
xi.value = self.rng.uniform_float();
} else {
let n_small: i64 = self.current_iteration - xi.last_modification_iteration;
let normal_sample: Float =
SQRT_2 * erf_inv(2.0 as Float * self.rng.uniform_float() - 1.0 as Float);
let eff_sigma: Float = self.sigma * (n_small as Float).sqrt();
xi.value += normal_sample * eff_sigma;
xi.value -= xi.value.floor();
}
xi.last_modification_iteration = self.current_iteration;
} else {
panic!("self.x.get_mut({:?}) failed", index);
}
}
pub fn start_pixel(&mut self, p: Point2i) {
self.current_pixel = p;
self.current_pixel_sample_index = 0_i64;
self.array_1d_offset = 0_usize;
self.array_2d_offset = 0_usize;
}
pub fn get_1d(&mut self) -> Float {
let index: i32 = self.get_next_index();
self.ensure_ready(index);
self.x[index as usize].value
}
pub fn get_2d(&mut self) -> Point2f {
let x: Float = self.get_1d();
let y: Float = self.get_1d();
Point2f { x, y }
}
pub fn get_2d_sample(&self, array_idx: usize, idx: usize) -> Point2f {
self.sample_array_2d[array_idx][idx]
}
pub fn reseed(&mut self, seed: u64) {
self.rng.set_sequence(seed);
}
pub fn request_2d_array(&mut self, n: i32) {
assert_eq!(self.round_count(n), n);
self.samples_2d_array_sizes.push(n);
let size: usize = (n * self.samples_per_pixel as i32) as usize;
let additional_points: Vec<Point2f> = vec![Point2f::default(); size];
self.sample_array_2d.push(additional_points);
}
pub fn round_count(&self, count: i32) -> i32 {
count
}
pub fn get_2d_array(&mut self, n: i32) -> Option<&[Point2f]> {
if self.array_2d_offset == self.sample_array_2d.len() {
return None;
}
assert_eq!(self.samples_2d_array_sizes[self.array_2d_offset], n);
assert!(
self.current_pixel_sample_index < self.samples_per_pixel,
"self.current_pixel_sample_index ({}) < self.samples_per_pixel ({})",
self.current_pixel_sample_index,
self.samples_per_pixel
);
let start: usize = (self.current_pixel_sample_index * n as i64) as usize;
let end: usize = start + n as usize;
self.array_2d_offset += 1;
Some(&self.sample_array_2d[self.array_2d_offset - 1][start..end])
}
pub fn get_2d_array_idxs(&mut self, n: i32) -> (bool, usize, usize) {
if self.array_2d_offset == self.sample_array_2d.len() {
return (true, 0_usize, 0_usize);
}
assert_eq!(self.samples_2d_array_sizes[self.array_2d_offset], n);
assert!(
self.current_pixel_sample_index < self.samples_per_pixel,
"self.current_pixel_sample_index ({}) < self.samples_per_pixel ({})",
self.current_pixel_sample_index,
self.samples_per_pixel
);
let start: usize = (self.current_pixel_sample_index * n as i64) as usize;
let idx: usize = self.array_2d_offset;
self.array_2d_offset += 1;
(false, idx, start)
}
pub fn start_next_sample(&mut self) -> bool {
self.array_1d_offset = 0_usize;
self.array_2d_offset = 0_usize;
self.current_pixel_sample_index += 1_i64;
self.current_pixel_sample_index < self.samples_per_pixel
}
pub fn get_current_pixel(&self) -> Point2i {
self.current_pixel
}
pub fn get_current_sample_number(&self) -> i64 {
self.current_pixel_sample_index
}
pub fn get_samples_per_pixel(&self) -> i64 {
self.samples_per_pixel
}
}
pub struct MLTIntegrator {
pub camera: Arc<Camera>,
pub max_depth: u32,
pub n_bootstrap: u32,
pub n_chains: u32,
pub mutations_per_pixel: u32,
pub sigma: Float,
pub large_step_probability: Float,
}
impl MLTIntegrator {
pub fn new(
camera: Arc<Camera>,
max_depth: u32,
n_bootstrap: u32,
n_chains: u32,
mutations_per_pixel: u32,
sigma: Float,
large_step_probability: Float,
) -> Self {
MLTIntegrator {
camera,
max_depth,
n_bootstrap,
n_chains,
mutations_per_pixel,
sigma,
large_step_probability,
}
}
pub fn l(
&self,
scene: &Scene,
light_distr: Arc<Distribution1D>,
sampler: &mut Sampler,
depth: u32,
p_raster: &mut Point2f,
) -> Spectrum {
match sampler {
Sampler::MLT(mlt_sampler) => mlt_sampler.start_stream(CAMERA_STREAM_INDEX as i32),
_ => panic!("MLTSampler needed."),
}
let s: u32;
let t: u32;
let n_strategies: u32;
if depth == 0_u32 {
n_strategies = 1;
s = 0;
t = 2;
} else {
n_strategies = depth + 2;
s = ((sampler.get_1d() * n_strategies as Float) as u32).min(n_strategies - 1);
t = n_strategies - s;
}
let mut camera_vertices: Vec<Vertex> = Vec::with_capacity(t as usize);
let film = self.camera.get_film();
let sample_bounds: Bounds2i = film.get_sample_bounds();
let sample_bounds_f: Bounds2f = Bounds2f {
p_min: Point2f {
x: sample_bounds.p_min.x as Float,
y: sample_bounds.p_min.y as Float,
},
p_max: Point2f {
x: sample_bounds.p_max.x as Float,
y: sample_bounds.p_max.y as Float,
},
};
*p_raster = sample_bounds_f.lerp(sampler.get_2d());
let n_camera;
let time;
{
let (n_camera_new, _p_new, time_new) = generate_camera_subpath(
scene,
sampler,
t,
&self.camera,
*p_raster,
&mut camera_vertices,
);
n_camera = n_camera_new;
time = time_new;
}
if n_camera != t as usize {
return Spectrum::default();
}
match sampler {
Sampler::MLT(mlt_sampler) => mlt_sampler.start_stream(LIGHT_STREAM_INDEX as i32),
_ => panic!("MLTSampler needed."),
}
let mut light_vertices: Vec<Vertex> = Vec::with_capacity(s as usize);
let n_light;
{
n_light = generate_light_subpath(
scene,
sampler,
s,
time,
light_distr.clone(),
&mut light_vertices,
);
}
if n_light != s as usize {
return Spectrum::default();
}
match sampler {
Sampler::MLT(mlt_sampler) => mlt_sampler.start_stream(CONNECTION_STREAM_INDEX as i32),
_ => panic!("MLTSampler needed."),
}
connect_bdpt(
scene,
&light_vertices,
&camera_vertices,
s as usize,
t as usize,
light_distr,
&self.camera,
sampler,
p_raster,
None,
) * (n_strategies as Float)
}
pub fn render(&self, scene: &Scene, num_threads: u8) {
let mut num_cores: usize;
let num_cores_init = if num_threads == 0_u8 {
num_cpus::get()
} else {
num_threads as usize
};
if let Some(light_distr) = compute_light_power_distribution(scene) {
println!("Generating bootstrap paths ...");
num_cores = 1;
let n_bootstrap_samples: u32 = self.n_bootstrap * (self.max_depth + 1);
let mut bootstrap_weights: Vec<Float> =
vec![0.0 as Float; n_bootstrap_samples as usize];
if !scene.lights.is_empty() {
let chunk_size: usize = (n_bootstrap_samples / num_cores as u32) as usize;
{
let bands: Vec<&mut [Float]> =
bootstrap_weights.chunks_mut(chunk_size).collect();
let integrator = &self;
let light_distr = &light_distr;
crossbeam::scope(|scope| {
let (band_tx, band_rx) = crossbeam_channel::bounded(num_cores);
for (b, band) in bands.into_iter().enumerate() {
let band_tx = band_tx.clone();
scope.spawn(move |_| {
for (w, weight) in band.iter_mut().enumerate() {
let rng_index: u64 = ((b * chunk_size) + w) as u64;
let depth: u32 =
(rng_index % (integrator.max_depth + 1) as u64) as u32;
let mut sampler: Box<Sampler> =
Box::new(Sampler::MLT(MLTSampler::new(
integrator.mutations_per_pixel as i64,
rng_index,
integrator.sigma,
integrator.large_step_probability,
N_SAMPLE_STREAMS as i32,
)));
let mut p_raster: Point2f = Point2f::default();
*weight = integrator
.l(
scene,
light_distr.clone(),
&mut sampler,
depth,
&mut p_raster,
)
.y();
}
});
band_tx
.send(b)
.unwrap_or_else(|_| panic!("Failed to send progress"));
}
scope.spawn(move |_| {
for _ in pbr::PbIter::new(0..num_cores) {
band_rx.recv().unwrap();
}
});
})
.unwrap();
}
}
let bootstrap: Distribution1D = Distribution1D::new(bootstrap_weights);
let b: Float = bootstrap.func_int * (self.max_depth + 1) as Float;
num_cores = num_cores_init;
let film: Arc<Film> = self.get_camera().get_film();
let n_total_mutations: u64 =
self.mutations_per_pixel as u64 * film.get_sample_bounds().area() as u64;
if !scene.lights.is_empty() {
let (sender, receiver) = crossbeam_channel::bounded(num_cores);
let n_chains = self.n_chains;
let finish = thread::spawn(move || {
for _ in pbr::PbIter::new(0..n_chains) {
receiver.recv().unwrap();
}
});
let ivec: Vec<u32> = (0..n_chains).collect();
ivec.par_iter().for_each_with(sender, |s, &i| {
s.send(i).unwrap_or_else(|_| panic!("Failed to send chain"));
let n_chain_mutations: u64 = ((i as u64 + 1) * n_total_mutations
/ n_chains as u64)
.min(n_total_mutations)
- i as u64 * n_total_mutations / n_chains as u64;
let mut rng: Rng = Rng::default();
rng.set_sequence(i as u64);
let bootstrap_index: usize =
bootstrap.sample_discrete(rng.uniform_float(), None);
let depth: u32 = bootstrap_index as u32 % (self.max_depth as u32 + 1);
let mut sampler: Box<Sampler> = Box::new(Sampler::MLT(MLTSampler::new(
self.mutations_per_pixel as i64,
bootstrap_index as u64,
self.sigma,
self.large_step_probability,
N_SAMPLE_STREAMS as i32,
)));
let mut p_current: Point2f = Point2f::default();
let mut l_current: Spectrum = self.l(
scene,
light_distr.clone(),
&mut sampler,
depth,
&mut p_current,
);
for _j in 0..n_chain_mutations {
match sampler.deref_mut() {
Sampler::MLT(mlt_sampler) => mlt_sampler.start_iteration(),
_ => panic!("MLTSampler needed."),
}
let mut p_proposed: Point2f = Point2f::default();
let l_proposed: Spectrum = self.l(
scene,
light_distr.clone(),
&mut sampler,
depth,
&mut p_proposed,
);
let accept: Float = (1.0 as Float).min(l_proposed.y() / l_current.y());
if accept > 0.0 as Float {
film.add_splat(p_proposed, &(l_proposed * accept / l_proposed.y()));
}
film.add_splat(
p_current,
&(l_current * (1.0 as Float - accept) / l_current.y()),
);
if rng.uniform_float() < accept {
p_current = p_proposed;
l_current = l_proposed;
match sampler.deref_mut() {
Sampler::MLT(mlt_sampler) => mlt_sampler.accept(),
_ => panic!("MLTSampler needed."),
}
} else {
match sampler.deref_mut() {
Sampler::MLT(mlt_sampler) => mlt_sampler.reject(),
_ => panic!("MLTSampler needed."),
}
}
}
});
finish.join().unwrap();
}
film.write_image(b / self.mutations_per_pixel as Float);
}
}
pub fn get_camera(&self) -> Arc<Camera> {
self.camera.clone()
}
}