diff options
| author | Davidlohr Bueso <davidlohr.bueso@hp.com> | 2013-04-29 19:18:09 -0400 |
|---|---|---|
| committer | Linus Torvalds <torvalds@linux-foundation.org> | 2013-04-29 21:28:19 -0400 |
| commit | 30493cc9dddb68066dcc4878015660fdaa8e0965 (patch) | |
| tree | 89d750aea6ea06bbb95e5c76fa6c2279fcf6b116 /lib/int_sqrt.c | |
| parent | 4d22f8c306233433bdf9298b2e7806e9c71674bc (diff) | |
lib/int_sqrt.c: optimize square root algorithm
Optimize the current version of the shift-and-subtract (hardware)
algorithm, described by John von Newmann[1] and Guy L Steele.
Iterating 1,000,000 times, perf shows for the current version:
Performance counter stats for './sqrt-curr' (10 runs):
27.170996 task-clock # 0.979 CPUs utilized ( +- 3.19% )
3 context-switches # 0.103 K/sec ( +- 4.76% )
0 cpu-migrations # 0.004 K/sec ( +-100.00% )
104 page-faults # 0.004 M/sec ( +- 0.16% )
64,921,199 cycles # 2.389 GHz ( +- 0.03% )
28,967,789 stalled-cycles-frontend # 44.62% frontend cycles idle ( +- 0.18% )
<not supported> stalled-cycles-backend
104,502,623 instructions # 1.61 insns per cycle
# 0.28 stalled cycles per insn ( +- 0.00% )
34,088,368 branches # 1254.587 M/sec ( +- 0.00% )
4,901 branch-misses # 0.01% of all branches ( +- 1.32% )
0.027763015 seconds time elapsed ( +- 3.22% )
And for the new version:
Performance counter stats for './sqrt-new' (10 runs):
0.496869 task-clock # 0.519 CPUs utilized ( +- 2.38% )
0 context-switches # 0.000 K/sec
0 cpu-migrations # 0.403 K/sec ( +-100.00% )
104 page-faults # 0.209 M/sec ( +- 0.15% )
590,760 cycles # 1.189 GHz ( +- 2.35% )
395,053 stalled-cycles-frontend # 66.87% frontend cycles idle ( +- 3.67% )
<not supported> stalled-cycles-backend
398,963 instructions # 0.68 insns per cycle
# 0.99 stalled cycles per insn ( +- 0.39% )
70,228 branches # 141.341 M/sec ( +- 0.36% )
3,364 branch-misses # 4.79% of all branches ( +- 5.45% )
0.000957440 seconds time elapsed ( +- 2.42% )
Furthermore, this saves space in instruction text:
text data bss dec hex filename
111 0 0 111 6f lib/int_sqrt-baseline.o
89 0 0 89 59 lib/int_sqrt.o
[1] http://en.wikipedia.org/wiki/First_Draft_of_a_Report_on_the_EDVAC
Signed-off-by: Davidlohr Bueso <davidlohr.bueso@hp.com>
Reviewed-by: Jonathan Gonzalez <jgonzlez@linets.cl>
Tested-by: Jonathan Gonzalez <jgonzlez@linets.cl>
Signed-off-by: Andrew Morton <akpm@linux-foundation.org>
Signed-off-by: Linus Torvalds <torvalds@linux-foundation.org>
Diffstat (limited to 'lib/int_sqrt.c')
| -rw-r--r-- | lib/int_sqrt.c | 32 |
1 files changed, 19 insertions, 13 deletions
diff --git a/lib/int_sqrt.c b/lib/int_sqrt.c index fc2eeb7cb2ea..1ef4cc344977 100644 --- a/lib/int_sqrt.c +++ b/lib/int_sqrt.c | |||
| @@ -1,3 +1,9 @@ | |||
| 1 | /* | ||
| 2 | * Copyright (C) 2013 Davidlohr Bueso <davidlohr.bueso@hp.com> | ||
| 3 | * | ||
| 4 | * Based on the shift-and-subtract algorithm for computing integer | ||
| 5 | * square root from Guy L. Steele. | ||
| 6 | */ | ||
| 1 | 7 | ||
| 2 | #include <linux/kernel.h> | 8 | #include <linux/kernel.h> |
| 3 | #include <linux/export.h> | 9 | #include <linux/export.h> |
| @@ -10,23 +16,23 @@ | |||
| 10 | */ | 16 | */ |
| 11 | unsigned long int_sqrt(unsigned long x) | 17 | unsigned long int_sqrt(unsigned long x) |
| 12 | { | 18 | { |
| 13 | unsigned long op, res, one; | 19 | unsigned long b, m, y = 0; |
| 14 | 20 | ||
| 15 | op = x; | 21 | if (x <= 1) |
| 16 | res = 0; | 22 | return x; |
| 17 | 23 | ||
| 18 | one = 1UL << (BITS_PER_LONG - 2); | 24 | m = 1UL << (BITS_PER_LONG - 2); |
| 19 | while (one > op) | 25 | while (m != 0) { |
| 20 | one >>= 2; | 26 | b = y + m; |
| 27 | y >>= 1; | ||
| 21 | 28 | ||
| 22 | while (one != 0) { | 29 | if (x >= b) { |
| 23 | if (op >= res + one) { | 30 | x -= b; |
| 24 | op = op - (res + one); | 31 | y += m; |
| 25 | res = res + 2 * one; | ||
| 26 | } | 32 | } |
| 27 | res /= 2; | 33 | m >>= 2; |
| 28 | one /= 4; | ||
| 29 | } | 34 | } |
| 30 | return res; | 35 | |
| 36 | return y; | ||
| 31 | } | 37 | } |
| 32 | EXPORT_SYMBOL(int_sqrt); | 38 | EXPORT_SYMBOL(int_sqrt); |