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
use super::super::algo::k_way_merge::k_way_merge;
use super::super::algo::verge_sort_heuristic::verge_sort_preprocessing;
use super::super::{RadixKey, Radixable};
use super::counting_sort::counting_sort;
use super::msd_sort::copy_by_histogram;
use super::utils::{
copy_nonoverlapping, only_one_bucket_filled, prefix_sums, Params,
};
pub fn lsd_radixsort_body<T, K>(arr: &mut [T], p: Params)
where
T: Radixable<K> + Copy + PartialOrd,
K: RadixKey,
{
if arr.len() <= 128 {
arr.sort_unstable_by(|a, b| a.partial_cmp(b).unwrap());
return;
}
let size = arr.len();
let dummy = arr[0];
let mut buffer: Vec<T> = vec![arr[0]; size];
let mut index = 0;
let histograms = dummy.get_full_histograms(arr, &p);
let mut t1 = arr;
let t2 = &mut buffer;
let mut t2 = t2.as_mut_slice();
for level in (p.level..p.max_level).rev() {
if only_one_bucket_filled(&histograms[level]) {
continue;
}
let (mut source, mut destination) =
if index == 0 { (t1, t2) } else { (t2, t1) };
let (mask, shift) = dummy.get_mask_and_shift(&p.new_level(level));
let (_, mut heads, _) = prefix_sums(&histograms[level]);
copy_by_histogram(
source.len(),
&mut source,
&mut destination,
&mut heads,
mask,
shift,
);
index = 1 - index;
if index == 1 {
t1 = source;
t2 = destination;
} else {
t2 = source;
t1 = destination;
}
}
if index == 1 {
copy_nonoverlapping(t2, t1, size);
}
}
pub fn lsd_radixsort_aux<T, K>(
arr: &mut [T],
radix: usize,
heuristic: bool,
min_cs2: usize,
) where
T: Radixable<K> + Copy + PartialOrd,
K: RadixKey,
{
if arr.len() <= 128 {
arr.sort_unstable_by(|a, b| a.partial_cmp(b).unwrap());
return;
}
let dummy = arr[0];
let (offset, _) = dummy.compute_offset(arr, radix);
let max_level = dummy.compute_max_level(offset, radix);
if max_level == 0 {
return;
}
let params = Params::new(0, radix, offset, max_level);
if heuristic {
if max_level == 1 {
counting_sort(arr, 8);
} else if max_level == 2 && arr.len() >= min_cs2 {
counting_sort(arr, 16);
} else {
lsd_radixsort_body(arr, params);
}
} else {
lsd_radixsort_body(arr, params);
}
}
pub fn lsd_radixsort<T, K>(arr: &mut [T], radix: usize)
where
T: Radixable<K> + Copy + PartialOrd,
K: RadixKey,
{
if arr.len() <= 128 {
arr.sort_unstable_by(|a, b| a.partial_cmp(b).unwrap());
return;
}
let mut separators = verge_sort_preprocessing(arr, radix, &|arr, radix| {
lsd_radixsort_aux(arr, radix, false, 0)
});
k_way_merge(arr, &mut separators);
}
pub fn lsd_radixsort_heu<T, K>(arr: &mut [T], radix: usize, min_cs2: usize)
where
T: Radixable<K> + Copy + PartialOrd,
K: RadixKey,
{
if arr.len() <= 128 {
arr.sort_unstable_by(|a, b| a.partial_cmp(b).unwrap());
return;
}
let mut separators = verge_sort_preprocessing(arr, radix, &|arr, radix| {
lsd_radixsort_aux(arr, radix, true, min_cs2)
});
k_way_merge(arr, &mut separators);
}