numrs2 0.3.3

A Rust implementation inspired by NumPy for numerical computing (NumRS2)
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
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
//! Comprehensive Parallel Computing Benchmarks for NumRS2
//!
//! This benchmark suite tests parallel operations including:
//! - Parallel vs sequential operations
//! - Scaling with thread count
//! - Load balancing efficiency
//! - Parallel reduction operations
//! - Parallel map operations
//!
//! All benchmarks follow SCIRS2 policies and use no unwrap() calls.

#![allow(clippy::result_large_err)]

use criterion::{criterion_group, criterion_main, BenchmarkId, Criterion};
use numrs2::prelude::*;
use std::hint::black_box;
use std::ops::{Div, Mul};

/// Benchmark parallel vs sequential sum
fn bench_parallel_vs_sequential_sum(c: &mut Criterion) {
    let mut group = c.benchmark_group("parallel_vs_sequential_sum");

    for size in [1000, 10000, 100000, 1000000, 10000000].iter() {
        // Sequential sum
        group.bench_with_input(BenchmarkId::new("sequential", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let Ok(arr) = rng.random::<f64>(&[s]) {
                bencher.iter(|| {
                    let vec = arr.to_vec();
                    let result: f64 = vec.iter().sum();
                    black_box(result);
                });
            }
        });

        // Parallel sum
        group.bench_with_input(BenchmarkId::new("parallel", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let Ok(arr) = rng.random::<f64>(&[s]) {
                bencher.iter(|| {
                    if let Ok(result) = sum(&arr, None, false) {
                        black_box(result);
                    }
                });
            }
        });
    }

    group.finish();
}

/// Benchmark parallel vs sequential matrix multiplication
fn bench_parallel_vs_sequential_matmul(c: &mut Criterion) {
    let mut group = c.benchmark_group("parallel_vs_sequential_matmul");

    for size in [50, 100, 200, 500].iter() {
        group.bench_with_input(BenchmarkId::new("matmul", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let (Ok(a), Ok(b)) = (rng.random::<f64>(&[s, s]), rng.random::<f64>(&[s, s])) {
                bencher.iter(|| {
                    if let Ok(result) = a.matmul(&b) {
                        black_box(result);
                    }
                });
            }
        });
    }

    group.finish();
}

/// Benchmark parallel reduction operations
fn bench_parallel_reductions(c: &mut Criterion) {
    let mut group = c.benchmark_group("parallel_reductions");

    for size in [10000, 100000, 1000000, 10000000].iter() {
        // Parallel sum
        group.bench_with_input(BenchmarkId::new("sum", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let Ok(arr) = rng.random::<f64>(&[s]) {
                bencher.iter(|| {
                    if let Ok(result) = sum(&arr, None, false) {
                        black_box(result);
                    }
                });
            }
        });

        // Parallel product
        group.bench_with_input(BenchmarkId::new("prod", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let Ok(arr) = rng.uniform::<f64>(0.99, 1.01, &[s]) {
                bencher.iter(|| {
                    if let Ok(result) = prod(&arr, None, false, None) {
                        black_box(result);
                    }
                });
            }
        });

        // Parallel min
        group.bench_with_input(BenchmarkId::new("min", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let Ok(arr) = rng.random::<f64>(&[s]) {
                bencher.iter(|| {
                    if let Ok(result) = min(&arr, None, false) {
                        black_box(result);
                    }
                });
            }
        });

        // Parallel max
        group.bench_with_input(BenchmarkId::new("max", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let Ok(arr) = rng.random::<f64>(&[s]) {
                bencher.iter(|| {
                    if let Ok(result) = max(&arr, None, false) {
                        black_box(result);
                    }
                });
            }
        });
    }

    group.finish();
}

/// Benchmark parallel map operations
fn bench_parallel_map(c: &mut Criterion) {
    let mut group = c.benchmark_group("parallel_map");

    for size in [10000, 100000, 1000000, 10000000].iter() {
        // Element-wise square
        group.bench_with_input(BenchmarkId::new("square", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let Ok(arr) = rng.random::<f64>(&[s]) {
                bencher.iter(|| {
                    let result = &arr * &arr;
                    black_box(result);
                });
            }
        });

        // Element-wise exponential
        group.bench_with_input(BenchmarkId::new("exp", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let Ok(arr) = rng.uniform::<f64>(-2.0, 2.0, &[s]) {
                bencher.iter(|| {
                    let result = exp(&arr);
                    black_box(result);
                });
            }
        });

        // Element-wise logarithm
        group.bench_with_input(BenchmarkId::new("log", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let Ok(arr) = rng.uniform::<f64>(0.1, 10.0, &[s]) {
                bencher.iter(|| {
                    let result = log(&arr);
                    black_box(result);
                });
            }
        });

        // Element-wise sine
        group.bench_with_input(BenchmarkId::new("sin", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let Ok(arr) = rng.uniform::<f64>(-std::f64::consts::PI, std::f64::consts::PI, &[s]) {
                bencher.iter(|| {
                    let result = numrs2::ufuncs::sin(&arr);
                    black_box(result);
                });
            }
        });
    }

    group.finish();
}

/// Benchmark thread count scaling
fn bench_thread_scaling(c: &mut Criterion) {
    let mut group = c.benchmark_group("thread_scaling");

    let size = 1000000;

    // Test with different workloads
    group.bench_function("sum_1M", |bencher| {
        let rng = random::default_rng();
        if let Ok(arr) = rng.random::<f64>(&[size]) {
            bencher.iter(|| {
                if let Ok(result) = sum(&arr, None, false) {
                    black_box(result);
                }
            });
        }
    });

    group.bench_function("matmul_500x500", |bencher| {
        let rng = random::default_rng();
        if let (Ok(a), Ok(b)) = (
            rng.random::<f64>(&[500, 500]),
            rng.random::<f64>(&[500, 500]),
        ) {
            bencher.iter(|| {
                if let Ok(result) = a.matmul(&b) {
                    black_box(result);
                }
            });
        }
    });

    group.bench_function("element_wise_ops_1M", |bencher| {
        let rng = random::default_rng();
        if let (Ok(a), Ok(b)) = (rng.random::<f64>(&[size]), rng.random::<f64>(&[size])) {
            bencher.iter(|| {
                let result = &a + &b;
                black_box(result);
            });
        }
    });

    group.finish();
}

/// Benchmark parallel overhead for small vs large arrays
fn bench_parallel_overhead(c: &mut Criterion) {
    let mut group = c.benchmark_group("parallel_overhead");

    // Small array - overhead may dominate
    for size in [10, 100, 1000, 10000].iter() {
        group.bench_with_input(BenchmarkId::new("sum", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let Ok(arr) = rng.random::<f64>(&[s]) {
                bencher.iter(|| {
                    if let Ok(result) = sum(&arr, None, false) {
                        black_box(result);
                    }
                });
            }
        });

        group.bench_with_input(BenchmarkId::new("add", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let (Ok(a), Ok(b)) = (rng.random::<f64>(&[s]), rng.random::<f64>(&[s])) {
                bencher.iter(|| {
                    let result = a.add(&b);
                    black_box(result);
                });
            }
        });
    }

    group.finish();
}

/// Benchmark parallel array operations
fn bench_parallel_array_operations(c: &mut Criterion) {
    let mut group = c.benchmark_group("parallel_array_operations");

    for size in [10000, 100000, 1000000].iter() {
        // Addition
        group.bench_with_input(BenchmarkId::new("add", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let (Ok(a), Ok(b)) = (rng.random::<f64>(&[s]), rng.random::<f64>(&[s])) {
                bencher.iter(|| {
                    let result = a.add(&b);
                    black_box(result);
                });
            }
        });

        // Multiplication
        group.bench_with_input(BenchmarkId::new("mul", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let (Ok(a), Ok(b)) = (rng.random::<f64>(&[s]), rng.random::<f64>(&[s])) {
                bencher.iter(|| {
                    let result = &a * &b;
                    black_box(result);
                });
            }
        });

        // Division
        group.bench_with_input(BenchmarkId::new("div", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let (Ok(a), Ok(b)) = (rng.random::<f64>(&[s]), rng.uniform::<f64>(0.1, 10.0, &[s])) {
                bencher.iter(|| {
                    let result = &a / &b;
                    black_box(result);
                });
            }
        });
    }

    group.finish();
}

/// Benchmark load balancing with different workload distributions
fn bench_load_balancing(c: &mut Criterion) {
    let mut group = c.benchmark_group("load_balancing");

    for size in [10000, 100000, 1000000].iter() {
        // Uniform workload
        group.bench_with_input(BenchmarkId::new("uniform", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let Ok(arr) = rng.random::<f64>(&[s]) {
                bencher.iter(|| {
                    if let Ok(result) = sum(&arr, None, false) {
                        black_box(result);
                    }
                });
            }
        });

        // Reduction which is inherently unbalanced
        group.bench_with_input(BenchmarkId::new("reduction", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let Ok(arr) = rng.random::<f64>(&[s]) {
                bencher.iter(|| {
                    if let Ok(result) = prod(&arr, None, false, None) {
                        black_box(result);
                    }
                });
            }
        });
    }

    group.finish();
}

/// Benchmark parallel matrix operations
fn bench_parallel_matrix_operations(c: &mut Criterion) {
    let mut group = c.benchmark_group("parallel_matrix_operations");

    for size in [100, 200, 500, 1000].iter() {
        // Matrix multiplication
        group.bench_with_input(BenchmarkId::new("matmul", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let (Ok(a), Ok(b)) = (rng.random::<f64>(&[s, s]), rng.random::<f64>(&[s, s])) {
                bencher.iter(|| {
                    if let Ok(result) = a.matmul(&b) {
                        black_box(result);
                    }
                });
            }
        });

        // Matrix transpose (typically less parallel benefit)
        group.bench_with_input(BenchmarkId::new("transpose", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let Ok(mat) = rng.random::<f64>(&[s, s]) {
                bencher.iter(|| {
                    black_box(mat.transpose());
                });
            }
        });
    }

    group.finish();
}

/// Benchmark parallel statistical operations
fn bench_parallel_statistics(c: &mut Criterion) {
    let mut group = c.benchmark_group("parallel_statistics");

    for size in [10000, 100000, 1000000, 10000000].iter() {
        // Mean
        group.bench_with_input(BenchmarkId::new("mean", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let Ok(arr) = rng.random::<f64>(&[s]) {
                bencher.iter(|| {
                    if let Ok(result) = mean(&arr, None, false) {
                        black_box(result);
                    }
                });
            }
        });

        // Variance
        group.bench_with_input(BenchmarkId::new("variance", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let Ok(arr) = rng.random::<f64>(&[s]) {
                bencher.iter(|| {
                    if let Ok(result) = var(&arr, None, 0, false) {
                        black_box(result);
                    }
                });
            }
        });

        // Standard deviation
        group.bench_with_input(BenchmarkId::new("std", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let Ok(arr) = rng.random::<f64>(&[s]) {
                bencher.iter(|| {
                    if let Ok(result) = std(&arr, None, 0, false) {
                        black_box(result);
                    }
                });
            }
        });
    }

    group.finish();
}

/// Benchmark parallel FFT operations
fn bench_parallel_fft(c: &mut Criterion) {
    let mut group = c.benchmark_group("parallel_fft");

    for size in [1024, 4096, 16384, 65536].iter() {
        group.bench_with_input(BenchmarkId::new("fft", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let Ok(signal) = rng.random::<f64>(&[s]) {
                bencher.iter(|| {
                    if let Ok(result) = FFT::fft(&signal) {
                        black_box(result);
                    }
                });
            }
        });

        group.bench_with_input(BenchmarkId::new("rfft", size), size, |bencher, &s| {
            let rng = random::default_rng();
            if let Ok(signal) = rng.random::<f64>(&[s]) {
                bencher.iter(|| {
                    if let Ok(result) = FFT::rfft(&signal) {
                        black_box(result);
                    }
                });
            }
        });
    }

    group.finish();
}

criterion_group!(
    benches,
    bench_parallel_vs_sequential_sum,
    bench_parallel_vs_sequential_matmul,
    bench_parallel_reductions,
    bench_parallel_map,
    bench_thread_scaling,
    bench_parallel_overhead,
    bench_parallel_array_operations,
    bench_load_balancing,
    bench_parallel_matrix_operations,
    bench_parallel_statistics,
    bench_parallel_fft,
);

criterion_main!(benches);