diff mbox

[v6,1/3] lib: Add strongly typed 64bit int_sqrt

Message ID 20171218150544.8000-1-cmo@melexis.com (mailing list archive)
State New, archived
Headers show

Commit Message

Crt Mori Dec. 18, 2017, 3:05 p.m. UTC
There is no option to perform 64bit integer sqrt on 32bit platform.
Added stronger typed int_sqrt64 enables the 64bit calculations to
be performed on 32bit platforms. Although int_sqrt() is a rough
approximation, the same algorithm is used in int_sqrt64() as good
enough on 32bit platform.

Signed-off-by: Crt Mori <cmo@melexis.com>
---
 include/linux/kernel.h |  1 +
 lib/int_sqrt.c         | 26 ++++++++++++++++++++++++++
 2 files changed, 27 insertions(+)

Comments

Joe Perches Dec. 18, 2017, 4:24 p.m. UTC | #1
On Mon, 2017-12-18 at 16:05 +0100, Crt Mori wrote:
> There is no option to perform 64bit integer sqrt on 32bit platform.
> Added stronger typed int_sqrt64 enables the 64bit calculations to
> be performed on 32bit platforms. Although int_sqrt() is a rough
> approximation, the same algorithm is used in int_sqrt64() as good
> enough on 32bit platform.
[]
> diff --git a/include/linux/kernel.h b/include/linux/kernel.h
[]
> @@ -459,6 +459,7 @@ extern int kernel_text_address(unsigned long addr);
>  extern int func_ptr_is_kernel_text(void *ptr);
>  
>  unsigned long int_sqrt(unsigned long);
> +u64 int_sqrt64(u64 x);
>  
>  extern void bust_spinlocks(int yes);
>  extern int oops_in_progress;		/* If set, an oops, panic(), BUG() or die() is in progress */
> diff --git a/lib/int_sqrt.c b/lib/int_sqrt.c
[]
> @@ -36,3 +36,29 @@ unsigned long int_sqrt(unsigned long x)
>  	return y;
>  }
>  EXPORT_SYMBOL(int_sqrt);
> +
> +/**
> + * int_sqrt64 - strongly typed int_sqrt function
> + * @x: 64bit integer of which to calculate the sqrt
> + */
> +u64 int_sqrt64(u64 x)
> +{
> +	u64 b, m, y = 0;
> +
> +	if (x <= 1)
> +		return x;
> +
> +	m = 1ULL << (64 - 2);
> +	while (m != 0) {
> +		b = y + m;
> +		y >>= 1;
> +
> +		if (x >= b) {
> +			x -= b;
> +			y += m;
> +		}
> +		m >>= 2;
> +	}
> +	return y;
> +}
> +EXPORT_SYMBOL(int_sqrt64);

int_sqrt is now optimized with __fls

Because u64 is unsigned long on 64 bit arches, this
could probably be optimized for 64 bit distributions
with something like:

#if BITS_PER_LONG != 64
#define int_sqrt64 _int_sqrt64
u64 _int_sqrt64(u64 x);
#else
#define int_sqrt64(x) int_sqrt
#endif

...

#if BITS_PER_LONG != 64
u64 _int_sqrt64(u64 x)
{ etc.. }
#endif

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Peter Zijlstra Dec. 18, 2017, 4:44 p.m. UTC | #2
On Mon, Dec 18, 2017 at 04:05:44PM +0100, Crt Mori wrote:
> There is no option to perform 64bit integer sqrt on 32bit platform.
> Added stronger typed int_sqrt64 enables the 64bit calculations to
> be performed on 32bit platforms. Although int_sqrt() is a rough
> approximation, the same algorithm is used in int_sqrt64() as good
> enough on 32bit platform.

You clearly haven't read a recent version of the file you're patching.
Please take a moment to do so now.

> +/**
> + * int_sqrt64 - strongly typed int_sqrt function
> + * @x: 64bit integer of which to calculate the sqrt
> + */
> +u64 int_sqrt64(u64 x)

Please explain how the result of sqrt(u64) can be larger than u32.

Also, I expect that this fact could be exploited to optimize this for
32bit archs if one were so inclined.

> +{
> +	u64 b, m, y = 0;
> +
> +	if (x <= 1)
> +		return x;
> +
> +	m = 1ULL << (64 - 2);
> +	while (m != 0) {
> +		b = y + m;
> +		y >>= 1;
> +
> +		if (x >= b) {
> +			x -= b;
> +			y += m;
> +		}
> +		m >>= 2;
> +	}
> +	return y;
> +}

so yeah, no, please try again after reading the current file.
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Crt Mori Dec. 19, 2017, 9:31 a.m. UTC | #3
On 18 December 2017 at 17:44, Peter Zijlstra <peterz@infradead.org> wrote:
> On Mon, Dec 18, 2017 at 04:05:44PM +0100, Crt Mori wrote:
>> There is no option to perform 64bit integer sqrt on 32bit platform.
>> Added stronger typed int_sqrt64 enables the 64bit calculations to
>> be performed on 32bit platforms. Although int_sqrt() is a rough
>> approximation, the same algorithm is used in int_sqrt64() as good
>> enough on 32bit platform.
>
> You clearly haven't read a recent version of the file you're patching.
> Please take a moment to do so now.
>

IIO kernel does not have the recent version in, so thanks for heads
up. It does not change much for my function.

>> +/**
>> + * int_sqrt64 - strongly typed int_sqrt function
>> + * @x: 64bit integer of which to calculate the sqrt
>> + */
>> +u64 int_sqrt64(u64 x)
>
> Please explain how the result of sqrt(u64) can be larger than u32.
>

My hand calculator tells me it could be.

ffffffffĂ—ffffffff = FFFFFFFE00000001 which still has some margin which
will end up above the 32 bit number. Further more the __fls
optimization automatically casts the inputs to unsigned long (32 bit
on 32 bit machines), so that also makes it out of option.

> Also, I expect that this fact could be exploited to optimize this for
> 32bit archs if one were so inclined.
>
>> +{
>> +     u64 b, m, y = 0;
>> +
>> +     if (x <= 1)
>> +             return x;
>> +
>> +     m = 1ULL << (64 - 2);
>> +     while (m != 0) {
>> +             b = y + m;
>> +             y >>= 1;
>> +
>> +             if (x >= b) {
>> +                     x -= b;
>> +                     y += m;
>> +             }
>> +             m >>= 2;
>> +     }
>> +     return y;
>> +}
>
> so yeah, no, please try again after reading the current file.
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Crt Mori Dec. 19, 2017, 9:32 a.m. UTC | #4
On 18 December 2017 at 17:24, Joe Perches <joe@perches.com> wrote:
> On Mon, 2017-12-18 at 16:05 +0100, Crt Mori wrote:
>> There is no option to perform 64bit integer sqrt on 32bit platform.
>> Added stronger typed int_sqrt64 enables the 64bit calculations to
>> be performed on 32bit platforms. Although int_sqrt() is a rough
>> approximation, the same algorithm is used in int_sqrt64() as good
>> enough on 32bit platform.
> []
>> diff --git a/include/linux/kernel.h b/include/linux/kernel.h
> []
>> @@ -459,6 +459,7 @@ extern int kernel_text_address(unsigned long addr);
>>  extern int func_ptr_is_kernel_text(void *ptr);
>>
>>  unsigned long int_sqrt(unsigned long);
>> +u64 int_sqrt64(u64 x);
>>
>>  extern void bust_spinlocks(int yes);
>>  extern int oops_in_progress;         /* If set, an oops, panic(), BUG() or die() is in progress */
>> diff --git a/lib/int_sqrt.c b/lib/int_sqrt.c
> []
>> @@ -36,3 +36,29 @@ unsigned long int_sqrt(unsigned long x)
>>       return y;
>>  }
>>  EXPORT_SYMBOL(int_sqrt);
>> +
>> +/**
>> + * int_sqrt64 - strongly typed int_sqrt function
>> + * @x: 64bit integer of which to calculate the sqrt
>> + */
>> +u64 int_sqrt64(u64 x)
>> +{
>> +     u64 b, m, y = 0;
>> +
>> +     if (x <= 1)
>> +             return x;
>> +
>> +     m = 1ULL << (64 - 2);
>> +     while (m != 0) {
>> +             b = y + m;
>> +             y >>= 1;
>> +
>> +             if (x >= b) {
>> +                     x -= b;
>> +                     y += m;
>> +             }
>> +             m >>= 2;
>> +     }
>> +     return y;
>> +}
>> +EXPORT_SYMBOL(int_sqrt64);
>
> int_sqrt is now optimized with __fls
>
> Because u64 is unsigned long on 64 bit arches, this
> could probably be optimized for 64 bit distributions
> with something like:
>
> #if BITS_PER_LONG != 64
> #define int_sqrt64 _int_sqrt64
> u64 _int_sqrt64(u64 x);
> #else
> #define int_sqrt64(x) int_sqrt
> #endif
>
> ...
>
> #if BITS_PER_LONG != 64
> u64 _int_sqrt64(u64 x)
> { etc.. }
> #endif
>

Thanks for the tip. I will respin with this change so that 64 bit
arches use the optimized int_sqrt from above.
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Peter Zijlstra Dec. 19, 2017, 1:25 p.m. UTC | #5
On Tue, Dec 19, 2017 at 10:31:18AM +0100, Crt Mori wrote:
> IIO kernel does not have the recent version in, so thanks for heads

IIO?

> up. It does not change much for my function.

The comment says:

 * Computes: floor(sqrt(x))

floor(sqrt(2^64-1)) == 2^32-1

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Crt Mori Dec. 19, 2017, 1:54 p.m. UTC | #6
On 19 December 2017 at 14:25, Peter Zijlstra <peterz@infradead.org> wrote:
> On Tue, Dec 19, 2017 at 10:31:18AM +0100, Crt Mori wrote:
>> IIO kernel does not have the recent version in, so thanks for heads
>
> IIO?
>

Industrial Input / Output Subsytem tree

>> up. It does not change much for my function.
>
> The comment says:
>
>  * Computes: floor(sqrt(x))
>
> floor(sqrt(2^64-1)) == 2^32-1
>

OK, so return value should be u32.
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diff mbox

Patch

diff --git a/include/linux/kernel.h b/include/linux/kernel.h
index 0ad4c3044cf9..09f53063f2c9 100644
--- a/include/linux/kernel.h
+++ b/include/linux/kernel.h
@@ -459,6 +459,7 @@  extern int kernel_text_address(unsigned long addr);
 extern int func_ptr_is_kernel_text(void *ptr);
 
 unsigned long int_sqrt(unsigned long);
+u64 int_sqrt64(u64 x);
 
 extern void bust_spinlocks(int yes);
 extern int oops_in_progress;		/* If set, an oops, panic(), BUG() or die() is in progress */
diff --git a/lib/int_sqrt.c b/lib/int_sqrt.c
index 1ef4cc344977..de5836448ea3 100644
--- a/lib/int_sqrt.c
+++ b/lib/int_sqrt.c
@@ -36,3 +36,29 @@  unsigned long int_sqrt(unsigned long x)
 	return y;
 }
 EXPORT_SYMBOL(int_sqrt);
+
+/**
+ * int_sqrt64 - strongly typed int_sqrt function
+ * @x: 64bit integer of which to calculate the sqrt
+ */
+u64 int_sqrt64(u64 x)
+{
+	u64 b, m, y = 0;
+
+	if (x <= 1)
+		return x;
+
+	m = 1ULL << (64 - 2);
+	while (m != 0) {
+		b = y + m;
+		y >>= 1;
+
+		if (x >= b) {
+			x -= b;
+			y += m;
+		}
+		m >>= 2;
+	}
+	return y;
+}
+EXPORT_SYMBOL(int_sqrt64);