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Kirill Smelkov
linux
Commits
272a8d2c
Commit
272a8d2c
authored
Jan 09, 2004
by
Nathan Scott
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[XFS] Switch to using the BSD qsort implementation.
SGI Modid: 2.5.x-xfs:slinx:162158a
parent
ab5d6be1
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fs/xfs/support/qsort.c
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272a8d2c
/* Copyright (C) 1991, 1992, 1996, 1997, 1999 Free Software Foundation, Inc.
/*
This file is part of the GNU C Library.
* Copyright (c) 1992, 1993
Written by Douglas C. Schmidt (schmidt@ics.uci.edu).
* The Regents of the University of California. All rights reserved.
*
The GNU C Library is free software; you can redistribute it and/or
* Redistribution and use in source and binary forms, with or without
modify it under the terms of the GNU Lesser General Public
* modification, are permitted provided that the following conditions
License as published by the Free Software Foundation; either
* are met:
version 2.1 of the License, or (at your option) any later version.
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
The GNU C Library is distributed in the hope that it will be useful,
* 2. Redistributions in binary form must reproduce the above copyright
but WITHOUT ANY WARRANTY; without even the implied warranty of
* notice, this list of conditions and the following disclaimer in the
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* documentation and/or other materials provided with the distribution.
Lesser General Public License for more details.
* 3. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
You should have received a copy of the GNU Lesser General Public
* without specific prior written permission.
License along with the GNU C Library; if not, write to the Free
*
Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
02111-1307 USA. */
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
/* If you consider tuning this algorithm, you should consult first:
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
Engineering a sort function; Jon Bentley and M. Douglas McIlroy;
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
Software - Practice and Experience; Vol. 23 (11), 1249-1265, 1993. */
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#include <linux/kernel.h>
#include <linux/kernel.h>
#include <linux/string.h>
#include <linux/string.h>
/* Byte-wise swap two items of size SIZE. */
/*
#define SWAP(a, b, size) \
* Qsort routine from Bentley & McIlroy's "Engineering a Sort Function".
do \
*/
{ \
#define swapcode(TYPE, parmi, parmj, n) { \
register size_t __size = (size); \
long i = (n) / sizeof (TYPE); \
register char *__a = (a), *__b = (b); \
register TYPE *pi = (TYPE *) (parmi); \
do \
register TYPE *pj = (TYPE *) (parmj); \
{ \
do { \
char __tmp = *__a; \
register TYPE t = *pi; \
*__a++ = *__b; \
*pi++ = *pj; \
*__b++ = __tmp; \
*pj++ = t; \
} while (--__size > 0); \
} while (--i > 0); \
} while (0)
}
/* Discontinue quicksort algorithm when partition gets below this size.
This particular magic number was chosen to work best on a Sun 4/260. */
#define MAX_THRESH 4
/* Stack node declarations used to store unfulfilled partition obligations. */
typedef
struct
{
char
*
lo
;
char
*
hi
;
}
stack_node
;
/* The next 4 #defines implement a very fast in-line stack abstraction. */
/* The stack needs log (total_elements) entries (we could even subtract
log(MAX_THRESH)). Since total_elements has type size_t, we get as
upper bound for log (total_elements):
bits per byte (CHAR_BIT) * sizeof(size_t). */
#define STACK_SIZE (8 * sizeof(unsigned long int))
#define PUSH(low, high) ((void) ((top->lo = (low)), (top->hi = (high)), ++top))
#define POP(low, high) ((void) (--top, (low = top->lo), (high = top->hi)))
#define STACK_NOT_EMPTY (stack < top)
/* Order size using quicksort. This implementation incorporates
#define SWAPINIT(a, es) swaptype = ((char *)a - (char *)0) % sizeof(long) || \
four optimizations discussed in Sedgewick:
es % sizeof(long) ? 2 : es == sizeof(long)? 0 : 1;
1. Non-recursive, using an explicit stack of pointer that store the
static
__inline
void
next array partition to sort. To save time, this maximum amount
swapfunc
(
char
*
a
,
char
*
b
,
int
n
,
int
swaptype
)
of space required to store an array of SIZE_MAX is allocated on the
{
stack. Assuming a 32-bit (64 bit) integer for size_t, this needs
if
(
swaptype
<=
1
)
only 32 * sizeof(stack_node) == 256 bytes (for 64 bit: 1024 bytes).
swapcode
(
long
,
a
,
b
,
n
)
Pretty cheap, actually.
else
swapcode
(
char
,
a
,
b
,
n
)
}
2. Chose the pivot element using a median-of-three decision tree.
#define swap(a, b) \
This reduces the probability of selecting a bad pivot value and
if (swaptype == 0) { \
eliminates certain extraneous comparisons.
long t = *(long *)(a); \
*(long *)(a) = *(long *)(b); \
*(long *)(b) = t; \
} else \
swapfunc(a, b, es, swaptype)
3. Only quicksorts TOTAL_ELEMS / MAX_THRESH partitions, leaving
#define vecswap(a, b, n) if ((n) > 0) swapfunc(a, b, n, swaptype)
insertion sort to order the MAX_THRESH items within each partition.
This is a big win, since insertion sort is faster for small, mostly
sorted array segments.
4. The larger of the two sub-partitions is always pushed onto the
static
__inline
char
*
stack first, with the algorithm then concentrating on the
med3
(
char
*
a
,
char
*
b
,
char
*
c
,
int
(
*
cmp
)(
const
void
*
,
const
void
*
))
smaller partition. This *guarantees* no more than log (total_elems)
{
stack size is needed (actually O(1) in this case)! */
return
cmp
(
a
,
b
)
<
0
?
(
cmp
(
b
,
c
)
<
0
?
b
:
(
cmp
(
a
,
c
)
<
0
?
c
:
a
))
:
(
cmp
(
b
,
c
)
>
0
?
b
:
(
cmp
(
a
,
c
)
<
0
?
a
:
c
));
}
void
void
qsort
(
void
*
const
pbase
,
size_t
total_elems
,
size_t
size
,
qsort
(
void
*
aa
,
size_t
n
,
size_t
es
,
int
(
*
cmp
)(
const
void
*
,
const
void
*
))
int
(
*
cmp
)(
const
void
*
,
const
void
*
))
{
{
register
char
*
base_ptr
=
(
char
*
)
pbase
;
char
*
pa
,
*
pb
,
*
pc
,
*
pd
,
*
pl
,
*
pm
,
*
pn
;
int
d
,
r
,
swaptype
,
swap_cnt
;
const
size_t
max_thresh
=
MAX_THRESH
*
size
;
register
char
*
a
=
aa
;
if
(
total_elems
==
0
)
loop:
SWAPINIT
(
a
,
es
);
/* Avoid lossage with unsigned arithmetic below. */
swap_cnt
=
0
;
if
(
n
<
7
)
{
for
(
pm
=
(
char
*
)
a
+
es
;
pm
<
(
char
*
)
a
+
n
*
es
;
pm
+=
es
)
for
(
pl
=
pm
;
pl
>
(
char
*
)
a
&&
cmp
(
pl
-
es
,
pl
)
>
0
;
pl
-=
es
)
swap
(
pl
,
pl
-
es
);
return
;
return
;
if
(
total_elems
>
MAX_THRESH
)
{
char
*
lo
=
base_ptr
;
char
*
hi
=
&
lo
[
size
*
(
total_elems
-
1
)];
stack_node
stack
[
STACK_SIZE
];
stack_node
*
top
=
stack
+
1
;
while
(
STACK_NOT_EMPTY
)
{
char
*
left_ptr
;
char
*
right_ptr
;
/* Select median value from among LO, MID, and HI. Rearrange
LO and HI so the three values are sorted. This lowers the
probability of picking a pathological pivot value and
skips a comparison for both the LEFT_PTR and RIGHT_PTR in
the while loops. */
char
*
mid
=
lo
+
size
*
((
hi
-
lo
)
/
size
>>
1
);
if
((
*
cmp
)
((
void
*
)
mid
,
(
void
*
)
lo
)
<
0
)
SWAP
(
mid
,
lo
,
size
);
if
((
*
cmp
)
((
void
*
)
hi
,
(
void
*
)
mid
)
<
0
)
SWAP
(
mid
,
hi
,
size
);
else
goto
jump_over
;
if
((
*
cmp
)
((
void
*
)
mid
,
(
void
*
)
lo
)
<
0
)
SWAP
(
mid
,
lo
,
size
);
jump_over:
;
left_ptr
=
lo
+
size
;
right_ptr
=
hi
-
size
;
/* Here's the famous ``collapse the walls'' section of quicksort.
Gotta like those tight inner loops! They are the main reason
that this algorithm runs much faster than others. */
do
{
while
((
*
cmp
)
((
void
*
)
left_ptr
,
(
void
*
)
mid
)
<
0
)
left_ptr
+=
size
;
while
((
*
cmp
)
((
void
*
)
mid
,
(
void
*
)
right_ptr
)
<
0
)
right_ptr
-=
size
;
if
(
left_ptr
<
right_ptr
)
{
SWAP
(
left_ptr
,
right_ptr
,
size
);
if
(
mid
==
left_ptr
)
mid
=
right_ptr
;
else
if
(
mid
==
right_ptr
)
mid
=
left_ptr
;
left_ptr
+=
size
;
right_ptr
-=
size
;
}
}
else
if
(
left_ptr
==
right_ptr
)
pm
=
(
char
*
)
a
+
(
n
/
2
)
*
es
;
{
if
(
n
>
7
)
{
left_ptr
+=
size
;
pl
=
(
char
*
)
a
;
right_ptr
-=
size
;
pn
=
(
char
*
)
a
+
(
n
-
1
)
*
es
;
break
;
if
(
n
>
40
)
{
d
=
(
n
/
8
)
*
es
;
pl
=
med3
(
pl
,
pl
+
d
,
pl
+
2
*
d
,
cmp
);
pm
=
med3
(
pm
-
d
,
pm
,
pm
+
d
,
cmp
);
pn
=
med3
(
pn
-
2
*
d
,
pn
-
d
,
pn
,
cmp
);
}
}
pm
=
med3
(
pl
,
pm
,
pn
,
cmp
);
}
}
while
(
left_ptr
<=
right_ptr
);
swap
(
a
,
pm
);
pa
=
pb
=
(
char
*
)
a
+
es
;
/* Set up pointers for next iteration. First determine whether
left and right partitions are below the threshold size. If so,
pc
=
pd
=
(
char
*
)
a
+
(
n
-
1
)
*
es
;
ignore one or both. Otherwise, push the larger partition's
for
(;;)
{
bounds on the stack and continue sorting the smaller one. */
while
(
pb
<=
pc
&&
(
r
=
cmp
(
pb
,
a
))
<=
0
)
{
if
(
r
==
0
)
{
if
((
size_t
)
(
right_ptr
-
lo
)
<=
max_thresh
)
swap_cnt
=
1
;
{
swap
(
pa
,
pb
);
if
((
size_t
)
(
hi
-
left_ptr
)
<=
max_thresh
)
pa
+=
es
;
/* Ignore both small partitions. */
POP
(
lo
,
hi
);
else
/* Ignore small left partition. */
lo
=
left_ptr
;
}
else
if
((
size_t
)
(
hi
-
left_ptr
)
<=
max_thresh
)
/* Ignore small right partition. */
hi
=
right_ptr
;
else
if
((
right_ptr
-
lo
)
>
(
hi
-
left_ptr
))
{
/* Push larger left partition indices. */
PUSH
(
lo
,
right_ptr
);
lo
=
left_ptr
;
}
}
else
pb
+=
es
;
{
/* Push larger right partition indices. */
PUSH
(
left_ptr
,
hi
);
hi
=
right_ptr
;
}
}
while
(
pb
<=
pc
&&
(
r
=
cmp
(
pc
,
a
))
>=
0
)
{
if
(
r
==
0
)
{
swap_cnt
=
1
;
swap
(
pc
,
pd
);
pd
-=
es
;
}
}
pc
-=
es
;
}
}
if
(
pb
>
pc
)
/* Once the BASE_PTR array is partially sorted by quicksort the rest
break
;
is completely sorted using insertion sort, since this is efficient
swap
(
pb
,
pc
);
for partitions below MAX_THRESH size. BASE_PTR points to the beginning
swap_cnt
=
1
;
of the array to sort, and END_PTR points at the very last element in
pb
+=
es
;
the array (*not* one beyond it!). */
pc
-=
es
;
{
char
*
const
end_ptr
=
&
base_ptr
[
size
*
(
total_elems
-
1
)];
char
*
tmp_ptr
=
base_ptr
;
char
*
const
thresh
=
min_t
(
char
*
const
,
end_ptr
,
base_ptr
+
max_thresh
);
register
char
*
run_ptr
;
/* Find smallest element in first threshold and place it at the
array's beginning. This is the smallest array element,
and the operation speeds up insertion sort's inner loop. */
for
(
run_ptr
=
tmp_ptr
+
size
;
run_ptr
<=
thresh
;
run_ptr
+=
size
)
if
((
*
cmp
)
((
void
*
)
run_ptr
,
(
void
*
)
tmp_ptr
)
<
0
)
tmp_ptr
=
run_ptr
;
if
(
tmp_ptr
!=
base_ptr
)
SWAP
(
tmp_ptr
,
base_ptr
,
size
);
/* Insertion sort, running from left-hand-side up to right-hand-side. */
run_ptr
=
base_ptr
+
size
;
while
((
run_ptr
+=
size
)
<=
end_ptr
)
{
tmp_ptr
=
run_ptr
-
size
;
while
((
*
cmp
)
((
void
*
)
run_ptr
,
(
void
*
)
tmp_ptr
)
<
0
)
tmp_ptr
-=
size
;
tmp_ptr
+=
size
;
if
(
tmp_ptr
!=
run_ptr
)
{
char
*
trav
;
trav
=
run_ptr
+
size
;
while
(
--
trav
>=
run_ptr
)
{
char
c
=
*
trav
;
char
*
hi
,
*
lo
;
for
(
hi
=
lo
=
trav
;
(
lo
-=
size
)
>=
tmp_ptr
;
hi
=
lo
)
*
hi
=
*
lo
;
*
hi
=
c
;
}
}
}
if
(
swap_cnt
==
0
)
{
/* Switch to insertion sort */
for
(
pm
=
(
char
*
)
a
+
es
;
pm
<
(
char
*
)
a
+
n
*
es
;
pm
+=
es
)
for
(
pl
=
pm
;
pl
>
(
char
*
)
a
&&
cmp
(
pl
-
es
,
pl
)
>
0
;
pl
-=
es
)
swap
(
pl
,
pl
-
es
);
return
;
}
}
pn
=
(
char
*
)
a
+
n
*
es
;
r
=
min
(
pa
-
(
char
*
)
a
,
pb
-
pa
);
vecswap
(
a
,
pb
-
r
,
r
);
r
=
min
((
long
)(
pd
-
pc
),
(
long
)(
pn
-
pd
-
es
));
vecswap
(
pb
,
pn
-
r
,
r
);
if
((
r
=
pb
-
pa
)
>
es
)
qsort
(
a
,
r
/
es
,
es
,
cmp
);
if
((
r
=
pd
-
pc
)
>
es
)
{
/* Iterate rather than recurse to save stack space */
a
=
pn
-
r
;
n
=
r
/
es
;
goto
loop
;
}
}
/* qsort(pn - r, r / es, es, cmp);*/
}
}
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