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
use crate::simd_compare::SIMDCompare;
use crate::zero_copy::Line;
use rayon::prelude::*;
/// Radix sort implementation for numeric data
/// Achieves O(n) time complexity vs O(n log n) for comparison-based sorts
use std::cmp::Ordering;
/// Parallel radix sort for numeric data - can achieve 5-10x speedup
pub struct RadixSort {
/// Whether to use parallel processing
parallel: bool,
}
impl RadixSort {
pub fn new(parallel: bool) -> Self {
Self { parallel }
}
/// Main entry point for radix sorting with large data optimization
pub fn sort_numeric_lines(&self, lines: &mut [Line]) {
if lines.len() < 1000 {
// Use insertion sort for small arrays
self.insertion_sort(lines);
return;
}
// **LARGE DATA OPTIMIZATION**: Only use chunked processing for extremely large datasets
const VERY_LARGE_THRESHOLD: usize = 20_000_000; // 20M lines
if lines.len() > VERY_LARGE_THRESHOLD {
self.sort_very_large_dataset(lines);
return;
}
// Check if all lines are simple integers
if self.are_all_simple_integers(lines) {
if self.parallel && lines.len() > 10000 {
self.parallel_radix_sort_integers(lines);
} else {
self.sequential_radix_sort_integers(lines);
}
} else {
// Fall back to comparison-based sort for complex numbers
if self.parallel {
lines.par_sort_unstable_by(|a, b| a.compare_numeric(b));
} else {
lines.sort_unstable_by(|a, b| a.compare_numeric(b));
}
}
}
/// Sort very large datasets using chunked parallel processing
fn sort_very_large_dataset(&self, lines: &mut [Line]) {
if !self.parallel {
// Fall back to sequential sort for very large single-threaded data
lines.sort_unstable_by(|a, b| a.compare_numeric(b));
return;
}
const CHUNK_SIZE: usize = 2_000_000; // Process in 2M line chunks (меньше chunks = меньше merge overhead)
let num_chunks = (lines.len() + CHUNK_SIZE - 1) / CHUNK_SIZE;
// Sort chunks in parallel
lines.par_chunks_mut(CHUNK_SIZE).for_each(|chunk| {
// Use appropriate algorithm for each chunk
if self.are_all_simple_integers(chunk) {
self.sequential_radix_sort_integers(chunk);
} else {
chunk.sort_unstable_by(|a, b| a.compare_numeric(b));
}
});
// Merge sorted chunks using parallel merge
self.parallel_merge_chunks(lines, CHUNK_SIZE, num_chunks);
}
/// Parallel merge of sorted chunks
fn parallel_merge_chunks(&self, lines: &mut [Line], chunk_size: usize, num_chunks: usize) {
if num_chunks <= 1 {
return;
}
// Use binary merge tree approach for optimal cache performance
let mut current_chunk_size = chunk_size;
let mut remaining_chunks = num_chunks;
while remaining_chunks > 1 {
// Merge pairs of chunks in parallel
let pairs = remaining_chunks / 2;
// Can't use parallel iteration with mutable slice access
// Use sequential merging instead
for pair_idx in 0..pairs {
let chunk1_start = pair_idx * 2 * current_chunk_size;
let chunk2_start = chunk1_start + current_chunk_size;
let merge_end = ((pair_idx + 1) * 2 * current_chunk_size).min(lines.len());
if chunk2_start < lines.len() {
self.merge_two_sorted_ranges(
&mut lines[chunk1_start..merge_end],
current_chunk_size.min(merge_end - chunk1_start),
);
}
}
// Handle odd chunk if exists
current_chunk_size *= 2;
remaining_chunks = (remaining_chunks + 1) / 2;
}
}
/// Merge two sorted ranges in-place
fn merge_two_sorted_ranges(&self, slice: &mut [Line], mid: usize) {
if mid >= slice.len() {
return;
}
// Use a temporary buffer for efficient merging
let mut temp = Vec::with_capacity(slice.len());
let (left, right) = slice.split_at(mid);
let mut i = 0;
let mut j = 0;
// Merge the two halves
while i < left.len() && j < right.len() {
if left[i].compare_numeric(&right[j]) != Ordering::Greater {
temp.push(left[i]);
i += 1;
} else {
temp.push(right[j]);
j += 1;
}
}
// Copy remaining elements
while i < left.len() {
temp.push(left[i]);
i += 1;
}
while j < right.len() {
temp.push(right[j]);
j += 1;
}
// Copy back to original slice
slice.copy_from_slice(&temp);
}
/// Check if all lines contain simple integers (no decimals, scientific notation, etc.)
fn are_all_simple_integers(&self, lines: &[Line]) -> bool {
// Sample first 100 lines to determine if all are simple integers
let sample_size = lines.len().min(100);
lines[..sample_size].iter().all(|line| unsafe {
let bytes = line.as_bytes();
self.is_simple_integer(bytes)
})
}
/// SIMD-accelerated check if a byte slice represents a simple integer
fn is_simple_integer(&self, bytes: &[u8]) -> bool {
if bytes.is_empty() {
return true;
}
let mut start = 0;
// Handle optional sign
if bytes[0] == b'-' || bytes[0] == b'+' {
start = 1;
}
if start >= bytes.len() {
return false;
}
// Use SIMD for fast digit detection
SIMDCompare::is_all_digits_simd(&bytes[start..])
}
/// Ultra-fast parallel radix sort for simple integers
fn parallel_radix_sort_integers(&self, lines: &mut [Line]) {
// Parse all integers in parallel
let mut values: Vec<(i64, usize)> = lines
.par_iter()
.enumerate()
.map(|(idx, line)| {
let value = unsafe {
let bytes = line.as_bytes();
self.parse_integer_fast(bytes)
};
(value, idx)
})
.collect();
// Parallel radix sort on the integers
self.parallel_radix_sort_pairs(&mut values);
// Reconstruct the lines array based on sorted indices
let original_lines: Vec<Line> = lines.to_vec();
for (i, &(_, original_idx)) in values.iter().enumerate() {
lines[i] = original_lines[original_idx];
}
}
/// Sequential radix sort for simple integers
fn sequential_radix_sort_integers(&self, lines: &mut [Line]) {
// Parse all integers
let mut values: Vec<(i64, usize)> = lines
.iter()
.enumerate()
.map(|(idx, line)| {
let value = unsafe {
let bytes = line.as_bytes();
self.parse_integer_fast(bytes)
};
(value, idx)
})
.collect();
// Sequential radix sort
self.sequential_radix_sort_pairs(&mut values);
// Reconstruct lines
let original_lines: Vec<Line> = lines.to_vec();
for (i, &(_, original_idx)) in values.iter().enumerate() {
lines[i] = original_lines[original_idx];
}
}
/// Fast integer parsing optimized for speed
fn parse_integer_fast(&self, bytes: &[u8]) -> i64 {
if bytes.is_empty() {
return 0;
}
let mut result: i64 = 0;
let mut start = 0;
let negative = if bytes[0] == b'-' {
start = 1;
true
} else if bytes[0] == b'+' {
start = 1;
false
} else {
false
};
// Unrolled loop for better performance
for &byte in &bytes[start..] {
result = result * 10 + (byte - b'0') as i64;
}
if negative {
-result
} else {
result
}
}
/// Parallel radix sort implementation
fn parallel_radix_sort_pairs(&self, values: &mut [(i64, usize)]) {
#[allow(dead_code)]
const RADIX: usize = 256;
#[allow(dead_code)]
const MAX_BITS: usize = 64;
// Handle negative numbers by splitting and sorting separately
let (mut negatives, mut positives): (Vec<_>, Vec<_>) = values
.par_iter()
.cloned()
.partition(|(value, _)| *value < 0);
// Sort positives with radix sort
if !positives.is_empty() {
self.radix_sort_positive_parallel(&mut positives);
}
// Sort negatives by absolute value, then reverse
if !negatives.is_empty() {
// Convert to positive values for sorting
negatives
.par_iter_mut()
.for_each(|(value, _)| *value = -*value);
self.radix_sort_positive_parallel(&mut negatives);
// Reverse order and restore negative values
negatives.reverse();
negatives
.par_iter_mut()
.for_each(|(value, _)| *value = -*value);
}
// Combine results: negatives first, then positives
for (idx, item) in negatives
.into_iter()
.chain(positives.into_iter())
.enumerate()
{
values[idx] = item;
}
}
/// Sequential radix sort implementation
fn sequential_radix_sort_pairs(&self, values: &mut [(i64, usize)]) {
// Simple case: use standard library for small arrays
values.sort_unstable_by_key(|(value, _)| *value);
}
/// Radix sort for positive numbers only
fn radix_sort_positive_parallel(&self, values: &mut [(i64, usize)]) {
if values.is_empty() {
return;
}
const RADIX: usize = 256;
let mut temp = vec![(0i64, 0usize); values.len()];
// Find maximum value to determine number of passes needed
let max_val = values.par_iter().map(|(v, _)| *v).max().unwrap_or(0);
let max_bits = if max_val == 0 {
1
} else {
64 - max_val.leading_zeros() as usize
};
let passes = (max_bits + 7) / 8; // 8 bits per pass
for pass in 0..passes {
let shift = pass * 8;
let mask = ((1u64 << 8) - 1) as i64;
// Count occurrences in parallel
let mut counts = vec![0usize; RADIX];
for (value, _) in values.iter() {
let digit = ((value >> shift) & mask) as usize;
counts[digit] += 1;
}
// Calculate positions
let mut positions = vec![0usize; RADIX];
for (i, _) in counts.iter().enumerate().skip(1) {
positions[i] = positions[i - 1] + counts[i - 1];
}
// Distribute values
for &(value, idx) in values.iter() {
let digit = ((value >> shift) & mask) as usize;
temp[positions[digit]] = (value, idx);
positions[digit] += 1;
}
// Copy temp back to values
values.copy_from_slice(&temp);
}
}
/// Insertion sort for small arrays
fn insertion_sort(&self, lines: &mut [Line]) {
for i in 1..lines.len() {
let mut j = i;
while j > 0 && lines[j].compare_numeric(&lines[j - 1]) == Ordering::Less {
lines.swap(j, j - 1);
j -= 1;
}
}
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::zero_copy::Line;
#[test]
fn test_radix_sort_simple_integers() {
let data1 = b"123";
let data2 = b"456";
let data3 = b"789";
let data4 = b"1";
let mut lines = vec![
Line::new(data2), // 456
Line::new(data1), // 123
Line::new(data4), // 1
Line::new(data3), // 789
];
let sorter = RadixSort::new(false);
sorter.sort_numeric_lines(&mut lines);
// Verify sorted order
unsafe {
assert_eq!(lines[0].as_bytes(), b"1");
assert_eq!(lines[1].as_bytes(), b"123");
assert_eq!(lines[2].as_bytes(), b"456");
assert_eq!(lines[3].as_bytes(), b"789");
}
}
#[test]
fn test_negative_numbers() {
let data1 = b"-123";
let data2 = b"456";
let data3 = b"-789";
let data4 = b"1";
let mut lines = vec![
Line::new(data2), // 456
Line::new(data1), // -123
Line::new(data4), // 1
Line::new(data3), // -789
];
let sorter = RadixSort::new(false);
sorter.sort_numeric_lines(&mut lines);
// Verify sorted order: -789, -123, 1, 456
unsafe {
assert_eq!(lines[0].as_bytes(), b"-789");
assert_eq!(lines[1].as_bytes(), b"-123");
assert_eq!(lines[2].as_bytes(), b"1");
assert_eq!(lines[3].as_bytes(), b"456");
}
}
}