[LITMUS^RT] Binary heaps for Litmus

Andrea Bastoni bastoni at cs.unc.edu
Thu Mar 29 23:00:18 CEST 2012


On 03/29/2012 10:23 PM, Glenn Elliott wrote:
> 
> On Mar 29, 2012, at 4:13 PM, Andrea Bastoni wrote:
> 
>> On 03/29/2012 05:25 PM, Glenn Elliott wrote:
>>> On Mar 29, 2012, at 10:32 AM, Björn Brandenburg wrote:
>>>
>>>> On Mar 22, 2012, at 12:29 AM, Glenn Elliott wrote:
>>>>
>>>>> I realized that binheap_delete() was more complicated than necessary.  Cleaned that up and then added binheap_decrease().  Sorry for the explosion of patches.
>>>>>
>>>>> -Glenn
>>>>>
>>>>>
>>>>> On Mar 21, 2012, at 5:02 PM, Glenn Elliott wrote:
>>>>>
>>>>>> Hi All,
>>>>>>
>>>>>> GSN-EDF and C-EDF use a binomial heap to prioritize CPUs.  This seems to be a little bit overkill since binomial heaps are best at heap merges.  This patch series does the following:
>>>>>>
>>>>>> 1) Implements a binary heap in the style of Linux's linked lists.
>>>>>> 2) Updates GSN-EDF to use the binary heap instead of the binomial heap to order CPUs.
>>>>>> 3) Updates C-EDF to use the binary heap instead of the binomial heap to order CPUs.
>>>>>>
>>>>>> I need to use this binary heap data structure for other work (priority queues that don't need binomial's fast merges), but I thought it could be applied to other domains.
>>>>>>
>>>>>> I've attached the patches.
>>>>>>
>>>>>> For those with access to CGIT on rtsrv.cs.unc.edu, here are links (easier to read):
>>>>>> Binary Heap: http://rtsrv.cs.unc.edu/cgit/cgit.cgi/litmus-rt.git/commit/?h=wip-binary-heap&id=5b73afc4eb1b0303cb92eb29a2ecc59c1db69537
>>>>>> GSN-EDF w/ Binary Heap: http://rtsrv.cs.unc.edu/cgit/cgit.cgi/litmus-rt.git/commit/?h=wip-binary-heap&id=bdce67bc2babc2e5b3b2440964e9cf819ac814dc
>>>>>> C-EDF w/ Binary Heap: http://rtsrv.cs.unc.edu/cgit/cgit.cgi/litmus-rt.git/commit/?h=wip-binary-heap&id=ee525fe7ba4edf4da2d293629ffdff2caa9ad02b
>>>>>>
>>>>>> All of this work is in wip-binary-heap on rtsrv.cs.unc.edu.
>>>>>>
>>>>>> I've tested these patches out both in QEMU and Bonham.  Comments and suggestions are welcome.
>>>>
>>>> Hi Glenn,
>>>>
>>>> thanks for the patches! We were using binomial heaps at that point because that was already implemented… Just wondering, did you observe a noticeable impact on overheads by using binary heaps instead?
>>>>
>>>> Thanks,
>>>> Björn
>>>
>>> I haven't made any efforts to compare the binheap performance against binomial heaps.  I would expect binheap to have only a small edge.  I actually suspect that a sorted linked list may outperform both heap-based solutions.  A linked list modification requires an update of at most 4 pointers.  For the binheap, one bubble-up operation updates 6 pointers (parent, child, left, right, reference pointer, reference double pointer).  There may be several bubble-up operations heap operation.
>>
>> Mmm, a comparison of the two heap implementations with a sorted list (or a
>> simple heap implemented on 1 array) may be interesting. Afterall, if we use it
>> for CPUs we can bound the WC size of the array and we don't normally use more
>> than 20/30 CPUs.
>>
>> Different topic:
>> Glenn, do we need to keep the "in_heap" field in the cpu_entry_t structure? Can
>> we refactor it in "binheap_node" and update it after add/delete/init? I don't
>> like too much having to remember to do this:
>>
>> +	binheap_add(&entry->hn, &gsnedf_cpu_heap, cpu_entry_t, hn);
>> +	entry->in_heap = 1;
>>
>> Thanks,
>> - Andrea
> 
> On node init() and delete(), we could poison the node's parent/left/right pointers.  We could add an "binheap_inheap()" function/macro that would return false if the pointer(s) are poisoned.  Or we could add a boolean to the node itself and add this tracking to the binheap routines.  I prefer the former.

I'd have preferred the latter. If I delete a node, I swap it with a
"structure-safe deletion" location, I restore the ordering property, and I can
safely delete the node and mark it as "!in_heap."
When I init the node I can keep the mark !in_heap until I logically do a
add(node, heap).

Am I missing something? (It's very likely, late and not enough coffee ;))

Thanks,
- Andrea




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