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lib: add find_nth{,_and,_andnot}_bit()

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Kernel lacks for a function that searches for Nth bit in a bitmap.
Usually people do it like this:
	for_each_set_bit(bit, mask, size)
		if (n-- == 0)
			return bit;

We can do it more efficiently, if we:
1. find a word containing Nth bit, using hweight(); and
2. find the bit, using a helper fns(), that works similarly to
   __ffs() and ffz().

fns() is implemented as a simple loop. For x86_64, there's PDEP instruction
to do that: ret = clz(pdep(1 << idx, num)). However, for large bitmaps the
most of improvement comes from using hweight(), so I kept fns() simple.

New find_nth_bit() is ~70 times faster on x86_64/kvm in find_bit benchmark:
find_nth_bit:                  7154190 ns,  16411 iterations
for_each_bit:                505493126 ns,  16315 iterations

With all that, a family of 3 new functions is added, and used where
appropriate in the following patches.

Signed-off-by: Yury Norov <yury.norov@gmail.com>
This commit is contained in:
Yury Norov 2022-09-17 20:07:13 -07:00
parent 24291caf84
commit 3cea8d4753
3 changed files with 149 additions and 0 deletions
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19
include/linux/bitops.h
View file

@ -247,6 +247,25 @@ static inline unsigned long __ffs64(u64 word)
return __ffs((unsigned long)word);
}
/**
* fns - find N'th set bit in a word
* @word: The word to search
* @n: Bit to find
*/
static inline unsigned long fns(unsigned long word, unsigned int n)
{
unsigned int bit;
while (word) {
bit = __ffs(word);
if (n-- == 0)
return bit;
__clear_bit(bit, &word);
}
return BITS_PER_LONG;
}
/**
* assign_bit - Assign value to a bit in memory
* @nr: the bit to set

86
include/linux/find.h
View file

@ -15,6 +15,11 @@ unsigned long _find_next_and_bit(const unsigned long *addr1, const unsigned long
unsigned long _find_next_zero_bit(const unsigned long *addr, unsigned long nbits,
unsigned long start);
extern unsigned long _find_first_bit(const unsigned long *addr, unsigned long size);
unsigned long __find_nth_bit(const unsigned long *addr, unsigned long size, unsigned long n);
unsigned long __find_nth_and_bit(const unsigned long *addr1, const unsigned long *addr2,
unsigned long size, unsigned long n);
unsigned long __find_nth_andnot_bit(const unsigned long *addr1, const unsigned long *addr2,
unsigned long size, unsigned long n);
extern unsigned long _find_first_and_bit(const unsigned long *addr1,
const unsigned long *addr2, unsigned long size);
extern unsigned long _find_first_zero_bit(const unsigned long *addr, unsigned long size);
@ -136,6 +141,87 @@ unsigned long find_first_bit(const unsigned long *addr, unsigned long size)
}
#endif
/**
* find_nth_bit - find N'th set bit in a memory region
* @addr: The address to start the search at
* @size: The maximum number of bits to search
* @n: The number of set bit, which position is needed, counting from 0
*
* The following is semantically equivalent:
* idx = find_nth_bit(addr, size, 0);
* idx = find_first_bit(addr, size);
*
* Returns the bit number of the N'th set bit.
* If no such, returns @size.
*/
static inline
unsigned long find_nth_bit(const unsigned long *addr, unsigned long size, unsigned long n)
{
if (n >= size)
return size;
if (small_const_nbits(size)) {
unsigned long val = *addr & GENMASK(size - 1, 0);
return val ? fns(val, n) : size;
}
return __find_nth_bit(addr, size, n);
}
/**
* find_nth_and_bit - find N'th set bit in 2 memory regions
* @addr1: The 1st address to start the search at
* @addr2: The 2nd address to start the search at
* @size: The maximum number of bits to search
* @n: The number of set bit, which position is needed, counting from 0
*
* Returns the bit number of the N'th set bit.
* If no such, returns @size.
*/
static inline
unsigned long find_nth_and_bit(const unsigned long *addr1, const unsigned long *addr2,
unsigned long size, unsigned long n)
{
if (n >= size)
return size;
if (small_const_nbits(size)) {
unsigned long val = *addr1 & *addr2 & GENMASK(size - 1, 0);
return val ? fns(val, n) : size;
}
return __find_nth_and_bit(addr1, addr2, size, n);
}
/**
* find_nth_andnot_bit - find N'th set bit in 2 memory regions,
* flipping bits in 2nd region
* @addr1: The 1st address to start the search at
* @addr2: The 2nd address to start the search at
* @size: The maximum number of bits to search
* @n: The number of set bit, which position is needed, counting from 0
*
* Returns the bit number of the N'th set bit.
* If no such, returns @size.
*/
static inline
unsigned long find_nth_andnot_bit(const unsigned long *addr1, const unsigned long *addr2,
unsigned long size, unsigned long n)
{
if (n >= size)
return size;
if (small_const_nbits(size)) {
unsigned long val = *addr1 & (~*addr2) & GENMASK(size - 1, 0);
return val ? fns(val, n) : size;
}
return __find_nth_andnot_bit(addr1, addr2, size, n);
}
#ifndef find_first_and_bit
/**
* find_first_and_bit - find the first set bit in both memory regions

44
lib/find_bit.c
View file

@ -68,6 +68,30 @@ out: \
sz; \
})
#define FIND_NTH_BIT(FETCH, size, num) \
({ \
unsigned long sz = (size), nr = (num), idx, w, tmp; \
\
for (idx = 0; (idx + 1) * BITS_PER_LONG <= sz; idx++) { \
if (idx * BITS_PER_LONG + nr >= sz) \
goto out; \
\
tmp = (FETCH); \
w = hweight_long(tmp); \
if (w > nr) \
goto found; \
\
nr -= w; \
} \
\
if (sz % BITS_PER_LONG) \
tmp = (FETCH) & BITMAP_LAST_WORD_MASK(sz); \
found: \
sz = min(idx * BITS_PER_LONG + fns(tmp, nr), sz); \
out: \
sz; \
})
#ifndef find_first_bit
/*
* Find the first set bit in a memory region.
@ -111,6 +135,26 @@ unsigned long _find_next_bit(const unsigned long *addr, unsigned long nbits, uns
EXPORT_SYMBOL(_find_next_bit);
#endif
unsigned long __find_nth_bit(const unsigned long *addr, unsigned long size, unsigned long n)
{
return FIND_NTH_BIT(addr[idx], size, n);
}
EXPORT_SYMBOL(__find_nth_bit);
unsigned long __find_nth_and_bit(const unsigned long *addr1, const unsigned long *addr2,
unsigned long size, unsigned long n)
{
return FIND_NTH_BIT(addr1[idx] & addr2[idx], size, n);
}
EXPORT_SYMBOL(__find_nth_and_bit);
unsigned long __find_nth_andnot_bit(const unsigned long *addr1, const unsigned long *addr2,
unsigned long size, unsigned long n)
{
return FIND_NTH_BIT(addr1[idx] & ~addr2[idx], size, n);
}
EXPORT_SYMBOL(__find_nth_andnot_bit);
#ifndef find_next_and_bit
unsigned long _find_next_and_bit(const unsigned long *addr1, const unsigned long *addr2,
unsigned long nbits, unsigned long start)