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Linus Torvalds1da177e2005-04-16 15:20:36 -07001/*
2 * A fast, small, non-recursive O(nlog n) sort for the Linux kernel
3 *
4 * Jan 23 2005 Matt Mackall <mpm@selenic.com>
5 */
6
Rasmus Villemoes42cf8092015-02-12 15:02:35 -08007#include <linux/types.h>
8#include <linux/export.h>
Adrian Bunkecec4cb2005-09-10 00:26:59 -07009#include <linux/sort.h>
Linus Torvalds1da177e2005-04-16 15:20:36 -070010
Daniel Wagnerca96ab82015-06-25 15:02:14 -070011static int alignment_ok(const void *base, int align)
12{
13 return IS_ENABLED(CONFIG_HAVE_EFFICIENT_UNALIGNED_ACCESS) ||
14 ((unsigned long)base & (align - 1)) == 0;
15}
16
Adrian Bunkecec4cb2005-09-10 00:26:59 -070017static void u32_swap(void *a, void *b, int size)
Linus Torvalds1da177e2005-04-16 15:20:36 -070018{
19 u32 t = *(u32 *)a;
20 *(u32 *)a = *(u32 *)b;
21 *(u32 *)b = t;
22}
23
Daniel Wagnerca96ab82015-06-25 15:02:14 -070024static void u64_swap(void *a, void *b, int size)
25{
26 u64 t = *(u64 *)a;
27 *(u64 *)a = *(u64 *)b;
28 *(u64 *)b = t;
29}
30
Adrian Bunkecec4cb2005-09-10 00:26:59 -070031static void generic_swap(void *a, void *b, int size)
Linus Torvalds1da177e2005-04-16 15:20:36 -070032{
33 char t;
34
35 do {
36 t = *(char *)a;
37 *(char *)a++ = *(char *)b;
38 *(char *)b++ = t;
39 } while (--size > 0);
40}
41
Robert P. J. Day72fd4a32007-02-10 01:45:59 -080042/**
Linus Torvalds1da177e2005-04-16 15:20:36 -070043 * sort - sort an array of elements
44 * @base: pointer to data to sort
45 * @num: number of elements
46 * @size: size of each element
Wu Fengguangb53907c2009-01-07 18:09:11 -080047 * @cmp_func: pointer to comparison function
48 * @swap_func: pointer to swap function or NULL
Linus Torvalds1da177e2005-04-16 15:20:36 -070049 *
50 * This function does a heapsort on the given array. You may provide a
Wu Fengguangb53907c2009-01-07 18:09:11 -080051 * swap_func function optimized to your element type.
Linus Torvalds1da177e2005-04-16 15:20:36 -070052 *
53 * Sorting time is O(n log n) both on average and worst-case. While
54 * qsort is about 20% faster on average, it suffers from exploitable
55 * O(n*n) worst-case behavior and extra memory requirements that make
56 * it less suitable for kernel use.
57 */
58
59void sort(void *base, size_t num, size_t size,
Wu Fengguangb53907c2009-01-07 18:09:11 -080060 int (*cmp_func)(const void *, const void *),
61 void (*swap_func)(void *, void *, int size))
Linus Torvalds1da177e2005-04-16 15:20:36 -070062{
63 /* pre-scale counters for performance */
keiosd3717bd2006-10-03 01:13:49 -070064 int i = (num/2 - 1) * size, n = num * size, c, r;
Linus Torvalds1da177e2005-04-16 15:20:36 -070065
Daniel Wagnerca96ab82015-06-25 15:02:14 -070066 if (!swap_func) {
67 if (size == 4 && alignment_ok(base, 4))
68 swap_func = u32_swap;
69 else if (size == 8 && alignment_ok(base, 8))
70 swap_func = u64_swap;
71 else
72 swap_func = generic_swap;
73 }
Linus Torvalds1da177e2005-04-16 15:20:36 -070074
75 /* heapify */
76 for ( ; i >= 0; i -= size) {
keiosd3717bd2006-10-03 01:13:49 -070077 for (r = i; r * 2 + size < n; r = c) {
78 c = r * 2 + size;
Wu Fengguangb53907c2009-01-07 18:09:11 -080079 if (c < n - size &&
80 cmp_func(base + c, base + c + size) < 0)
Linus Torvalds1da177e2005-04-16 15:20:36 -070081 c += size;
Wu Fengguangb53907c2009-01-07 18:09:11 -080082 if (cmp_func(base + r, base + c) >= 0)
Linus Torvalds1da177e2005-04-16 15:20:36 -070083 break;
Wu Fengguangb53907c2009-01-07 18:09:11 -080084 swap_func(base + r, base + c, size);
Linus Torvalds1da177e2005-04-16 15:20:36 -070085 }
86 }
87
88 /* sort */
Subbaiah Venkata995e4282007-10-16 23:27:06 -070089 for (i = n - size; i > 0; i -= size) {
Wu Fengguangb53907c2009-01-07 18:09:11 -080090 swap_func(base, base + i, size);
keiosd3717bd2006-10-03 01:13:49 -070091 for (r = 0; r * 2 + size < i; r = c) {
92 c = r * 2 + size;
Wu Fengguangb53907c2009-01-07 18:09:11 -080093 if (c < i - size &&
94 cmp_func(base + c, base + c + size) < 0)
Linus Torvalds1da177e2005-04-16 15:20:36 -070095 c += size;
Wu Fengguangb53907c2009-01-07 18:09:11 -080096 if (cmp_func(base + r, base + c) >= 0)
Linus Torvalds1da177e2005-04-16 15:20:36 -070097 break;
Wu Fengguangb53907c2009-01-07 18:09:11 -080098 swap_func(base + r, base + c, size);
Linus Torvalds1da177e2005-04-16 15:20:36 -070099 }
100 }
101}
102
103EXPORT_SYMBOL(sort);
104
105#if 0
Rasmus Villemoes2ddae682015-02-12 15:03:10 -0800106#include <linux/slab.h>
Linus Torvalds1da177e2005-04-16 15:20:36 -0700107/* a simple boot-time regression test */
108
109int cmpint(const void *a, const void *b)
110{
111 return *(int *)a - *(int *)b;
112}
113
114static int sort_test(void)
115{
Domen Puncerd28c2bc2005-05-05 16:16:19 -0700116 int *a, i, r = 1;
Linus Torvalds1da177e2005-04-16 15:20:36 -0700117
118 a = kmalloc(1000 * sizeof(int), GFP_KERNEL);
119 BUG_ON(!a);
120
121 printk("testing sort()\n");
122
123 for (i = 0; i < 1000; i++) {
124 r = (r * 725861) % 6599;
125 a[i] = r;
126 }
127
128 sort(a, 1000, sizeof(int), cmpint, NULL);
129
130 for (i = 0; i < 999; i++)
131 if (a[i] > a[i+1]) {
132 printk("sort() failed!\n");
133 break;
134 }
135
136 kfree(a);
137
138 return 0;
139}
140
141module_init(sort_test);
142#endif