# [PATCHv3 03/11] arm64: Introduce helpers for page table levels

Christoffer Dall christoffer.dall at linaro.org
Thu Oct 15 07:15:10 PDT 2015

```On Thu, Oct 15, 2015 at 02:48:47PM +0100, Suzuki K. Poulose wrote:
> On 15/10/15 14:30, Christoffer Dall wrote:
> >On Thu, Oct 15, 2015 at 02:14:22PM +0100, Suzuki K. Poulose wrote:
> >>On 15/10/15 13:44, Mark Rutland wrote:
> >>>On Thu, Oct 15, 2015 at 01:37:35PM +0200, Christoffer Dall wrote:
> >>>>On Wed, Oct 14, 2015 at 12:20:26PM +0100, Suzuki K. Poulose wrote:
>
>
> >>  * The maximum number of levels supported by the architecture is 4. Hence at starting
> >>  * at level n, we hanve (4 - n) levels of translation. So, the total number of bits
> >
> >nit: s/hanve/have/
>
> Fixed.
>
> >
> >>  * mapped by an entry at level n is :
> >>  *
> >>  *  ((4 - n) - 1) * (PAGE_SHIFT - 3) + PAGE_SHIFT
> >>  *
> >>  * Rearranging it a bit we get :
> >>  *   (4 - n) * (PAGE_SHIFT - 3) + 3
> >>  */
> >>
> >>Or we could use the formula without rearranging.
> >>
> >Either way, even I get it now.
> >
> >Thanks for the explanation!!
>
> :). I was involved too much in these calculations that, the formula looked
> obvious to me, when I wrote it. But yes, I did realise that it is indeed
> complicated, once I really started looking at explaining why I wrote it so.
> Thanks for being patient :) and complaining peacefully !
>
> Btw, I have a revised (hopefully better) version here :
>
> /*
>  * Size mapped by an entry at level n ( 0 <= n <= 3)
>  * We map (PAGE_SHIFT - 3) at all translation levels and PAGE_SHIFT bits
>  * in the final page. The maximum number of translation levels supported by
>  * the architecture is 4. Hence, starting at at level n, we have further
>  * ((4 - n) - 1) levels of translation excluding the offset within the page.
>  * So, the total number of bits mapped by an entry at level n is :
>  *
>  *  ((4 - n) - 1) * (PAGE_SHIFT - 3) + PAGE_SHIFT
>  *
>  * Rearranging it a bit we get :
>  *   (4 - n) * (PAGE_SHIFT - 3) + 3
>  */
>

Looks good.

>
> >
> >Assuming some version of this goes in:
> >
> >Acked-by: Christoffer Dall <christoffer.dall at linaro.org>
> >
>
> Thanks. I lost two interview questions though ;)
>
There are plenty of good sources for that in the KVM/ARM code.

-Christoffer

```