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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
Kostenzer Felixc5adae92017-02-24 15:01:07 -08007#define pr_fmt(fmt) KBUILD_MODNAME ": " fmt
8
Rasmus Villemoes42cf8092015-02-12 15:02:35 -08009#include <linux/types.h>
10#include <linux/export.h>
Adrian Bunkecec4cb2005-09-10 00:26:59 -070011#include <linux/sort.h>
Linus Torvalds1da177e2005-04-16 15:20:36 -070012
Daniel Wagnerca96ab82015-06-25 15:02:14 -070013static int alignment_ok(const void *base, int align)
14{
15 return IS_ENABLED(CONFIG_HAVE_EFFICIENT_UNALIGNED_ACCESS) ||
16 ((unsigned long)base & (align - 1)) == 0;
17}
18
Adrian Bunkecec4cb2005-09-10 00:26:59 -070019static void u32_swap(void *a, void *b, int size)
Linus Torvalds1da177e2005-04-16 15:20:36 -070020{
21 u32 t = *(u32 *)a;
22 *(u32 *)a = *(u32 *)b;
23 *(u32 *)b = t;
24}
25
Daniel Wagnerca96ab82015-06-25 15:02:14 -070026static void u64_swap(void *a, void *b, int size)
27{
28 u64 t = *(u64 *)a;
29 *(u64 *)a = *(u64 *)b;
30 *(u64 *)b = t;
31}
32
Adrian Bunkecec4cb2005-09-10 00:26:59 -070033static void generic_swap(void *a, void *b, int size)
Linus Torvalds1da177e2005-04-16 15:20:36 -070034{
35 char t;
36
37 do {
38 t = *(char *)a;
39 *(char *)a++ = *(char *)b;
40 *(char *)b++ = t;
41 } while (--size > 0);
42}
43
Robert P. J. Day72fd4a32007-02-10 01:45:59 -080044/**
Linus Torvalds1da177e2005-04-16 15:20:36 -070045 * sort - sort an array of elements
46 * @base: pointer to data to sort
47 * @num: number of elements
48 * @size: size of each element
Wu Fengguangb53907c2009-01-07 18:09:11 -080049 * @cmp_func: pointer to comparison function
50 * @swap_func: pointer to swap function or NULL
Linus Torvalds1da177e2005-04-16 15:20:36 -070051 *
52 * This function does a heapsort on the given array. You may provide a
Wu Fengguangb53907c2009-01-07 18:09:11 -080053 * swap_func function optimized to your element type.
Linus Torvalds1da177e2005-04-16 15:20:36 -070054 *
55 * Sorting time is O(n log n) both on average and worst-case. While
56 * qsort is about 20% faster on average, it suffers from exploitable
57 * O(n*n) worst-case behavior and extra memory requirements that make
58 * it less suitable for kernel use.
59 */
60
61void sort(void *base, size_t num, size_t size,
Wu Fengguangb53907c2009-01-07 18:09:11 -080062 int (*cmp_func)(const void *, const void *),
63 void (*swap_func)(void *, void *, int size))
Linus Torvalds1da177e2005-04-16 15:20:36 -070064{
65 /* pre-scale counters for performance */
keiosd3717bd2006-10-03 01:13:49 -070066 int i = (num/2 - 1) * size, n = num * size, c, r;
Linus Torvalds1da177e2005-04-16 15:20:36 -070067
Daniel Wagnerca96ab82015-06-25 15:02:14 -070068 if (!swap_func) {
69 if (size == 4 && alignment_ok(base, 4))
70 swap_func = u32_swap;
71 else if (size == 8 && alignment_ok(base, 8))
72 swap_func = u64_swap;
73 else
74 swap_func = generic_swap;
75 }
Linus Torvalds1da177e2005-04-16 15:20:36 -070076
77 /* heapify */
78 for ( ; i >= 0; i -= size) {
keiosd3717bd2006-10-03 01:13:49 -070079 for (r = i; r * 2 + size < n; r = c) {
80 c = r * 2 + size;
Wu Fengguangb53907c2009-01-07 18:09:11 -080081 if (c < n - size &&
82 cmp_func(base + c, base + c + size) < 0)
Linus Torvalds1da177e2005-04-16 15:20:36 -070083 c += size;
Wu Fengguangb53907c2009-01-07 18:09:11 -080084 if (cmp_func(base + r, base + c) >= 0)
Linus Torvalds1da177e2005-04-16 15:20:36 -070085 break;
Wu Fengguangb53907c2009-01-07 18:09:11 -080086 swap_func(base + r, base + c, size);
Linus Torvalds1da177e2005-04-16 15:20:36 -070087 }
88 }
89
90 /* sort */
Subbaiah Venkata995e4282007-10-16 23:27:06 -070091 for (i = n - size; i > 0; i -= size) {
Wu Fengguangb53907c2009-01-07 18:09:11 -080092 swap_func(base, base + i, size);
keiosd3717bd2006-10-03 01:13:49 -070093 for (r = 0; r * 2 + size < i; r = c) {
94 c = r * 2 + size;
Wu Fengguangb53907c2009-01-07 18:09:11 -080095 if (c < i - size &&
96 cmp_func(base + c, base + c + size) < 0)
Linus Torvalds1da177e2005-04-16 15:20:36 -070097 c += size;
Wu Fengguangb53907c2009-01-07 18:09:11 -080098 if (cmp_func(base + r, base + c) >= 0)
Linus Torvalds1da177e2005-04-16 15:20:36 -070099 break;
Wu Fengguangb53907c2009-01-07 18:09:11 -0800100 swap_func(base + r, base + c, size);
Linus Torvalds1da177e2005-04-16 15:20:36 -0700101 }
102 }
103}
104
105EXPORT_SYMBOL(sort);