(Checking the algorithm here)

On Mon, Jun 01, 2026 at 10:11:24AM +0200, David Hildenbrand (Arm) wrote:
> On 5/22/26 17:00, Nico Pache wrote:
>
> Finally time for the core piece :)
>
> > Enable khugepaged to collapse to mTHP orders. This patch implements the
> > main scanning logic using a bitmap to track occupied pages and a stack
> > structure that allows us to find optimal collapse sizes.
> >
> > Previous to this patch, PMD collapse had 3 main phases, a light weight
> > scanning phase (mmap_read_lock) that determines a potential PMD
> > collapse, an alloc phase (mmap unlocked), then finally heavier collapse
> > phase (mmap_write_lock).
> >
> > To enabled mTHP collapse we make the following changes:
> >
> > During PMD scan phase, track occupied pages in a bitmap. When mTHP
> > orders are enabled, we remove the restriction of max_ptes_none during the
> > scan phase to avoid missing potential mTHP collapse candidates. Once we
> > have scanned the full PMD range and updated the bitmap to track occupied
> > pages, we use the bitmap to find the optimal mTHP size.
> >
> > Implement collapse_scan_bitmap() to perform binary recursion on the bitmap
> > and determine the best eligible order for the collapse. A stack structure
> > is used instead of traditional recursion to manage the search. This also
> > prevents a traditional recursive approach when the kernel stack struct is
> > limited. The algorithm recursively splits the bitmap into smaller chunks to
> > find the highest order mTHPs that satisfy the collapse criteria. We start
> > by attempting the PMD order, then moved on the consecutively lower orders
> > (mTHP collapse). The stack maintains a pair of variables (offset, order),

This is inaccurate, it's only consecutively smaller until you hit smallest then
it starts bumping around 2 -> 3 -> 2 -> 3 -> 2 -> .. -> 4 -> 3 -> 2 -> 3 -> 2 
-> 4 -> etc.

More like consecutively smaller, then always trying for the smallest possible
fit?

Would be good to describe why we do this, presumably to get a best _fit_?

> > indicating the number of PTEs from the start of the PMD, and the order of
> > the potential collapse candidate.
> >
> > The algorithm for consuming the bitmap works as such:
> >     1) push (0, HPAGE_PMD_ORDER) onto the stack
> >     2) pop the stack
> >     3) check if the number of set bits in that (offset,order) pair
> >        statisfy the max_ptes_none threshold for that order
> >     4) if yes, attempt collapse
> >     5) if no (or collapse fails), push two new stack items representing
> >        the left and right halves of the current bitmap range, at the
> >        next lower order

I notice the ordering is wrong here, you actualy push the mid_offset first then
the offset (e.g. 'right', then 'left'):

                        collapse_mthp_stack_push(cc, &stack_size, mid_offset,
                                                 next_order);
                        collapse_mthp_stack_push(cc, &stack_size, offset,
                                                 next_order);

So that way you are popping the 'left' first then the 'right'.

So seems you'll get:

stack={0, 9}

Pop (0, order=9):

        |----------------------------------------|
        |########################################|
        |----------------------------------------|

stack={256, 8}, {0, 8}

Pop (0, order=8):

        |--------------------|-------------------|
        |####################|                   |
        |--------------------|-------------------|


stack={256, 8}, {128, 7}, {0, 7}

Pop (0, order=7):

        |----------|-----------------------------|
        |##########|                             |
        |----------|-----------------------------|

stack={256, 8}, {128, 7}, {64, 6}, {0, 6}

Pop (0, order=6):

        |----|-----------------------------------|
        |####|                                   |
        |----|-----------------------------------|

...

stack={256, 8}, ..., { 8, 3 }, {0, 2}

Pop (0, order=2):

        |-|--------------------------------------|
        |#|                                      |
        |-|--------------------------------------|

Then finally :) we get the offsets :)

stack={256, 8}, ..., {8, 3}, {4, 2}

Pop (4, order=2):

        |-|-|------------------------------------|
        | |#|                                    |
        |-|-|------------------------------------|

stack={256, 8}, ..., { 12, 2 }, {8, 3}

Pop (8, order=3):

        |---|--|---------------------------------|
        |   |##|                                 |
        |---|--|---------------------------------|

stack={256, 8}, ..., { 12, 2 }, {12, 2}, {8, 2}

Pop (8, order=2):

        |---|-|----------------------------------|
        |   |#|                                  |
        |---|-|----------------------------------|

etc.


It seems to me that you're going to keep iterating down until you match an mTHP
when a larger mTHP could have been had?

So we're going:

order 9 -> 8 -> 7 -> 6 -> ... -> 2 -> 3 -> 2 -> 4 -> 3 -> 2

I guess the point is to avoid only getting the largest possible




I guess if we did try to get the largest then we'd only get 2 of the largest
possible then exhaust the whole PMD, should a PMD-sized entry not be possble.

> >     6) repeat at step (2) until stack is empty.
> >
> > Below is a diagram representing the algorithm and stack items:
> >
> >                             offset   mid_offset
> >                             |        |
> >                             |        |
> >                             v        v
> >           ____________________________________
> >          |          PTE Page Table            |
> >          --------------------------------------
> >                         <-------><------->
> >                              order-1  order-1
>
>
> Reading this, it is unclear why exactly do we need the stack.
>
> Why can't you work with offset + cur_order?
>
> Initially,
>
>       offset = 0;
>       cur_order = HPAGE_PMD_ORDER;
>
> If collapse succeeded, advance to next range.
> If collapse failed, try next smaller order, keeping offset unchanged.
>
>       if (failed && cur_order > KHUGEPAGED_MIN_MTHP_ORDER) {
>               /* Try next smaller order. */
>               cur_order = cur_order - 1;

OK this matches the stack for the 0 offset entries...

>       } else {
>               /* Skip to next chunk. */
>               offset += 1 << cur_order;
>               cur_order = max_order_from_offset(offset);

Then 1 << 2 -> 4 so go to offset=4.

max_order_from_offset(4) = 2. so (4, offset=2) same as above.

Then we'd loop back here and go to offset = 8, and max_order_from_offset(8) = 3

And, yeah this seems equivalent.

>       }

>
> Of course, handling disabled orders. max_order_from_offset() is rather trivial
> (natural buddy order, capped at HPAGE_PMD_ORDER).

Something like?

static unsigned long max_order_from_offset(unsigned long offset)
{
        if (!offset)
           return HPAGE_PMD_ORDER;

        return ilog2(offset);
}

>
> What's the benefit of the stack?

Yeah it seems equivalent. Good idea!

Thanks, Lorenzo

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