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authorPeter Zijlstra <peterz@infradead.org>2017-11-17 15:28:08 -0800
committerLinus Torvalds <torvalds@linux-foundation.org>2017-11-17 16:10:01 -0800
commitf8ae107eef209bff29a5816bc1aad40d5cd69a80 (patch)
tree5c3bf0db2b425bed1dbbcf8d70cbeb57d0a3b012 /lib
parent3f3295709edea6268ff1609855f498035286af73 (diff)
download96b-common-f8ae107eef209bff29a5816bc1aad40d5cd69a80.tar.gz
lib/int_sqrt: optimize initial value compute
The initial value (@m) compute is: m = 1UL << (BITS_PER_LONG - 2); while (m > x) m >>= 2; Which is a linear search for the highest even bit smaller or equal to @x We can implement this using a binary search using __fls() (or better when its hardware implemented). m = 1UL << (__fls(x) & ~1UL); Especially for small values of @x; which are the more common arguments when doing a CDF on idle times; the linear search is near to worst case, while the binary search of __fls() is a constant 6 (or 5 on 32bit) branches. cycles: branches: branch-misses: PRE: hot: 43.633557 +- 0.034373 45.333132 +- 0.002277 0.023529 +- 0.000681 cold: 207.438411 +- 0.125840 45.333132 +- 0.002277 6.976486 +- 0.004219 SOFTWARE FLS: hot: 29.576176 +- 0.028850 26.666730 +- 0.004511 0.019463 +- 0.000663 cold: 165.947136 +- 0.188406 26.666746 +- 0.004511 6.133897 +- 0.004386 HARDWARE FLS: hot: 24.720922 +- 0.025161 20.666784 +- 0.004509 0.020836 +- 0.000677 cold: 132.777197 +- 0.127471 20.666776 +- 0.004509 5.080285 +- 0.003874 Averages computed over all values <128k using a LFSR to generate order. Cold numbers have a LFSR based branch trace buffer 'confuser' ran between each int_sqrt() invocation. Link: http://lkml.kernel.org/r/20171020164644.936577234@infradead.org Signed-off-by: Peter Zijlstra (Intel) <peterz@infradead.org> Suggested-by: Joe Perches <joe@perches.com> Acked-by: Will Deacon <will.deacon@arm.com> Acked-by: Linus Torvalds <torvalds@linux-foundation.org> Cc: Anshul Garg <aksgarg1989@gmail.com> Cc: Davidlohr Bueso <dave@stgolabs.net> Cc: David Miller <davem@davemloft.net> Cc: Ingo Molnar <mingo@kernel.org> Cc: Kees Cook <keescook@chromium.org> Cc: Matthew Wilcox <mawilcox@microsoft.com> Cc: Michael Davidson <md@google.com> Cc: Thomas Gleixner <tglx@linutronix.de> Signed-off-by: Andrew Morton <akpm@linux-foundation.org> Signed-off-by: Linus Torvalds <torvalds@linux-foundation.org>
Diffstat (limited to 'lib')
-rw-r--r--lib/int_sqrt.c6
1 files changed, 2 insertions, 4 deletions
diff --git a/lib/int_sqrt.c b/lib/int_sqrt.c
index 036c96781ea8..67bb300b5b46 100644
--- a/lib/int_sqrt.c
+++ b/lib/int_sqrt.c
@@ -8,6 +8,7 @@
#include <linux/kernel.h>
#include <linux/export.h>
+#include <linux/bitops.h>
/**
* int_sqrt - rough approximation to sqrt
@@ -22,10 +23,7 @@ unsigned long int_sqrt(unsigned long x)
if (x <= 1)
return x;
- m = 1UL << (BITS_PER_LONG - 2);
- while (m > x)
- m >>= 2;
-
+ m = 1UL << (__fls(x) & ~1UL);
while (m != 0) {
b = y + m;
y >>= 1;