182 lines
5.1 KiB
C
182 lines
5.1 KiB
C
// SPDX-License-Identifier: GPL-2.0
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/*
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* A fast, small, non-recursive O(nlog n) sort for the Linux kernel
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*
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* Jan 23 2005 Matt Mackall <mpm@selenic.com>
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*/
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#define pr_fmt(fmt) KBUILD_MODNAME ": " fmt
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#include <linux/types.h>
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#include <linux/export.h>
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#include <linux/sort.h>
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/**
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* is_aligned - is this pointer & size okay for word-wide copying?
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* @base: pointer to data
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* @size: size of each element
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* @align: required aignment (typically 4 or 8)
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*
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* Returns true if elements can be copied using word loads and stores.
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* The size must be a multiple of the alignment, and the base address must
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* be if we do not have CONFIG_HAVE_EFFICIENT_UNALIGNED_ACCESS.
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*
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* For some reason, gcc doesn't know to optimize "if (a & mask || b & mask)"
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* to "if ((a | b) & mask)", so we do that by hand.
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*/
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__attribute_const__ __always_inline
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static bool is_aligned(const void *base, size_t size, unsigned char align)
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{
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unsigned char lsbits = (unsigned char)size;
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(void)base;
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#ifndef CONFIG_HAVE_EFFICIENT_UNALIGNED_ACCESS
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lsbits |= (unsigned char)(uintptr_t)base;
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#endif
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return (lsbits & (align - 1)) == 0;
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}
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/**
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* swap_words_32 - swap two elements in 32-bit chunks
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* @a, @b: pointers to the elements
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* @size: element size (must be a multiple of 4)
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*
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* Exchange the two objects in memory. This exploits base+index addressing,
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* which basically all CPUs have, to minimize loop overhead computations.
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*
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* For some reason, on x86 gcc 7.3.0 adds a redundant test of n at the
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* bottom of the loop, even though the zero flag is stil valid from the
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* subtract (since the intervening mov instructions don't alter the flags).
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* Gcc 8.1.0 doesn't have that problem.
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*/
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static void swap_words_32(void *a, void *b, int size)
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{
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size_t n = (unsigned int)size;
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do {
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u32 t = *(u32 *)(a + (n -= 4));
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*(u32 *)(a + n) = *(u32 *)(b + n);
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*(u32 *)(b + n) = t;
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} while (n);
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}
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/**
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* swap_words_64 - swap two elements in 64-bit chunks
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* @a, @b: pointers to the elements
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* @size: element size (must be a multiple of 8)
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*
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* Exchange the two objects in memory. This exploits base+index
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* addressing, which basically all CPUs have, to minimize loop overhead
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* computations.
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*
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* We'd like to use 64-bit loads if possible. If they're not, emulating
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* one requires base+index+4 addressing which x86 has but most other
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* processors do not. If CONFIG_64BIT, we definitely have 64-bit loads,
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* but it's possible to have 64-bit loads without 64-bit pointers (e.g.
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* x32 ABI). Are there any cases the kernel needs to worry about?
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*/
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static void swap_words_64(void *a, void *b, int size)
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{
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size_t n = (unsigned int)size;
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do {
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#ifdef CONFIG_64BIT
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u64 t = *(u64 *)(a + (n -= 8));
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*(u64 *)(a + n) = *(u64 *)(b + n);
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*(u64 *)(b + n) = t;
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#else
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/* Use two 32-bit transfers to avoid base+index+4 addressing */
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u32 t = *(u32 *)(a + (n -= 4));
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*(u32 *)(a + n) = *(u32 *)(b + n);
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*(u32 *)(b + n) = t;
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t = *(u32 *)(a + (n -= 4));
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*(u32 *)(a + n) = *(u32 *)(b + n);
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*(u32 *)(b + n) = t;
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#endif
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} while (n);
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}
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/**
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* swap_bytes - swap two elements a byte at a time
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* @a, @b: pointers to the elements
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* @size: element size
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*
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* This is the fallback if alignment doesn't allow using larger chunks.
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*/
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static void swap_bytes(void *a, void *b, int size)
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{
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size_t n = (unsigned int)size;
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do {
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char t = ((char *)a)[--n];
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((char *)a)[n] = ((char *)b)[n];
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((char *)b)[n] = t;
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} while (n);
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}
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/**
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* sort - sort an array of elements
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* @base: pointer to data to sort
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* @num: number of elements
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* @size: size of each element
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* @cmp_func: pointer to comparison function
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* @swap_func: pointer to swap function or NULL
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*
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* This function does a heapsort on the given array. You may provide
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* a swap_func function if you need to do something more than a memory
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* copy (e.g. fix up pointers or auxiliary data), but the built-in swap
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* isn't usually a bottleneck.
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*
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* Sorting time is O(n log n) both on average and worst-case. While
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* qsort is about 20% faster on average, it suffers from exploitable
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* O(n*n) worst-case behavior and extra memory requirements that make
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* it less suitable for kernel use.
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*/
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void sort(void *base, size_t num, size_t size,
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int (*cmp_func)(const void *, const void *),
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void (*swap_func)(void *, void *, int size))
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{
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/* pre-scale counters for performance */
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int i = (num/2 - 1) * size, n = num * size, c, r;
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if (!swap_func) {
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if (is_aligned(base, size, 8))
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swap_func = swap_words_64;
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else if (is_aligned(base, size, 4))
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swap_func = swap_words_32;
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else
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swap_func = swap_bytes;
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}
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/* heapify */
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for ( ; i >= 0; i -= size) {
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for (r = i; r * 2 + size < n; r = c) {
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c = r * 2 + size;
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if (c < n - size &&
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cmp_func(base + c, base + c + size) < 0)
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c += size;
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if (cmp_func(base + r, base + c) >= 0)
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break;
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swap_func(base + r, base + c, size);
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}
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}
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/* sort */
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for (i = n - size; i > 0; i -= size) {
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swap_func(base, base + i, size);
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for (r = 0; r * 2 + size < i; r = c) {
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c = r * 2 + size;
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if (c < i - size &&
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cmp_func(base + c, base + c + size) < 0)
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c += size;
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if (cmp_func(base + r, base + c) >= 0)
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break;
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swap_func(base + r, base + c, size);
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}
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}
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}
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EXPORT_SYMBOL(sort);
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