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Date:   Thu, 21 Dec 2017 10:02:32 +0000
From:   David Laight <David.Laight@...LAB.COM>
To:     'Joe Perches' <joe@...ches.com>, 'Crt Mori' <cmo@...exis.com>,
        "Peter Zijlstra" <peterz@...radead.org>
CC:     Jonathan Cameron <jic23@...nel.org>,
        Ingo Molnar <mingo@...nel.org>,
        Andrew Morton <akpm@...ux-foundation.org>,
        Kees Cook <keescook@...omium.org>,
        Rusty Russell <rusty@...tcorp.com.au>,
        Ian Abbott <abbotti@....co.uk>,
        "Larry Finger" <Larry.Finger@...inger.net>,
        Niklas Soderlund <niklas.soderlund+renesas@...natech.se>,
        Thomas Gleixner <tglx@...utronix.de>,
        Krzysztof Kozlowski <krzk@...nel.org>,
        Masahiro Yamada <yamada.masahiro@...ionext.com>,
        "linux-kernel@...r.kernel.org" <linux-kernel@...r.kernel.org>,
        "linux-iio@...r.kernel.org" <linux-iio@...r.kernel.org>
Subject: RE: [PATCH v10 1/3] lib: Add strongly typed 64bit int_sqrt

From: Joe Perches
> Sent: 20 December 2017 17:20
...
> > I think this version works.
> > It doesn't have the optimisation for small values.
> >
> > unsigned int sqrt64(unsigned long long x)
> > {
> >         unsigned int x_hi = x >> 32;
> >
> >         unsigned int b = 0;
> >         unsigned int y = 0;
> >         unsigned int i;
> >
> 
> Perhaps add:
> 
> 	if (x <= UINT_MAX)
> 		return int_sqrt((unsigned long)x);

Actually something like:
	i = 32;
	if (!x_hi) {
		x_hi = x;
		i = 16;
	}
	
	if (!(x_hi & 0xffff0000)) {
		x_hi <<= 16;
		i -= 8;
	}
Repeat for 0xff000000, 0xf0000000 and 0xc0000000 and adjust loop to count down.

	David

> 
> >         for (i = 0; i < 32; i++) {
> >                 b <<= 2;
> >                 b |= x_hi >> 30;
> >                 x_hi <<= 2;
> >                 if (i == 15)
> >                         x_hi = x;
> >                 y <<= 1;
> >                 if (b > y)
> >                         b -= ++y;
> >         }
> >         return y;
> > }
> >
> > Put it through cc -O3 -m32 -c -o sqrt64.o sqrt64.c and then objdump sqrt64.o
> > and compare to that of your version.
> >
> > 	David
> >

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