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2018-11-14mem-cache: Remove Cache dependency from TagsDaniel R. Carvalho
Tags do not need to be aware of caches. Change-Id: Ib6a082b74dcd9b2f10852651634b59512732fb2a Signed-off-by: Daniel R. Carvalho <odanrc@yahoo.com.br> Reviewed-on: https://gem5-review.googlesource.com/c/14296 Reviewed-by: Nikos Nikoleris <nikos.nikoleris@arm.com> Maintainer: Nikos Nikoleris <nikos.nikoleris@arm.com>
2018-11-14mem-cache: Move access latency calculation to CacheDaniel R. Carvalho
Access latency was not being calculated properly, as it was always assuming that for hits reads take as long as writes, and that parallel accesses would produce the same latency for read and write misses. By moving the calculation to the Cache we can use the write/ read information, reduce latency variables duplication and remove Cache dependency from Tags. The tag lookup latency is still calculated by the Tags. Change-Id: I71bc68fb5c3515b372c3bf002d61b6f048a45540 Signed-off-by: Daniel R. Carvalho <odanrc@yahoo.com.br> Reviewed-on: https://gem5-review.googlesource.com/c/13697 Reviewed-by: Nikos Nikoleris <nikos.nikoleris@arm.com> Maintainer: Nikos Nikoleris <nikos.nikoleris@arm.com>
2018-11-05mem-cache: Rename the tag class init function to tagsInit.Gabe Black
Since the tag classes are subclasses of SimObject, they inherit an init function which does generic initialization at simulation startup and which doesn't take any parameters. A new function was added which does take a parameter, and which is just for doing tag specific initialization as triggered by the base cache. These two names clashed, and clang complained that the tag local name was hiding the SimObject name (which it was). Change-Id: I399775aceaf8f1a8e2646d434facef22e6d3e7d0 Reviewed-on: https://gem5-review.googlesource.com/c/13875 Reviewed-by: Gabe Black <gabeblack@google.com> Reviewed-by: Nikos Nikoleris <nikos.nikoleris@arm.com> Maintainer: Gabe Black <gabeblack@google.com> Maintainer: Nikos Nikoleris <nikos.nikoleris@arm.com>
2018-10-18mem-cache: Fix unused variable warning in FALRU:invalidate()Nikos Nikoleris
Change-Id: I3b902045433ca56b3e62c251158e784b5fa9e4d7 Signed-off-by: Nikos Nikoleris <nikos.nikoleris@arm.com> Reviewed-on: https://gem5-review.googlesource.com/c/13600 Reviewed-by: Daniel Carvalho <odanrc@yahoo.com.br>
2018-10-11mem-cache: Factor ReplaceableEntry outDaniel R. Carvalho
ReplaceableEntry is referenced by many classes that do not necessarily need access to the replacement policies. Therefore, in order to allow better compilation units, we factor it out to a new file. Change-Id: I0823567bf1ca336ffcdf783682ef473e8878d7fd Signed-off-by: Daniel R. Carvalho <odanrc@yahoo.com.br> Reviewed-on: https://gem5-review.googlesource.com/c/13418 Reviewed-by: Nikos Nikoleris <nikos.nikoleris@arm.com> Maintainer: Nikos Nikoleris <nikos.nikoleris@arm.com>
2018-10-11mem-cache: Virtualize block printDaniel R. Carvalho
Encapsulate and virtualize block print, so that relevant information can be easily printed anywhere. Change-Id: I91109c29c126755183a0fd2b4446f5335e64076b Signed-off-by: Daniel R. Carvalho <odanrc@yahoo.com.br> Reviewed-on: https://gem5-review.googlesource.com/c/13415 Reviewed-by: Nikos Nikoleris <nikos.nikoleris@arm.com> Maintainer: Nikos Nikoleris <nikos.nikoleris@arm.com>
2018-10-10mem-cache: Use set and way for ReplaceableEntryDaniel R. Carvalho
Replaceable entries belong to table-like structures, and therefore they should be indexable by combining a row and a column. These, using conventional cache nomenclature translate to sets and ways. Make these entries aware of their sets and ways. The idea is to make indexing policies usable by other table-like structures. In order to do so we move sets and ways to ReplaceableEntry, which will be the common base among table entries. Change-Id: If0e3dacf9ea2f523af9cface067469ccecf82648 Reviewed-on: https://gem5-review.googlesource.com/c/12764 Reviewed-by: Jason Lowe-Power <jason@lowepower.com> Maintainer: Jason Lowe-Power <jason@lowepower.com>
2018-10-10mem-cache: Create tags initialization functionDaniel R. Carvalho
Having the blocks initialized in the constructor makes it harder to apply inheritance in the tags classes. This patch decouples the block initialization functionality from the constructor by using an init() function. It also sets the parent cache. Change-Id: I0da7fdaae492b1177c7cc3bda8639f79921fbbeb Reviewed-on: https://gem5-review.googlesource.com/c/11509 Reviewed-by: Jason Lowe-Power <jason@lowepower.com> Reviewed-by: Nikos Nikoleris <nikos.nikoleris@arm.com> Maintainer: Jason Lowe-Power <jason@lowepower.com>
2018-10-10mem-cache: Remove Packet dependency in TagsDaniel R. Carvalho
Decouple Tags from Packets, only extracting the necessary functionality for block insertion. As a side effect, create a new function to update common insertion statistics. Change-Id: I5c58f7c17de3255beee531f72a3fd25a30d74c90 Reviewed-on: https://gem5-review.googlesource.com/c/11098 Reviewed-by: Jason Lowe-Power <jason@lowepower.com> Reviewed-by: Nikos Nikoleris <nikos.nikoleris@arm.com> Maintainer: Jason Lowe-Power <jason@lowepower.com>
2018-10-05mem-cache: Fix FALRU hash invalidationDaniel R. Carvalho
The block was being invalidated before the hash could erase its entry, therefore it was using invalid values (tag was being assigned MaxAddr and the secure bit was reset). This change reorders the calls, so that the appropriate hash entry is erased. Change-Id: I161463df0f8f5220179bc68d7be12051e5390d01 Signed-off-by: Daniel R. Carvalho <odanrc@yahoo.com.br> Reviewed-on: https://gem5-review.googlesource.com/c/13210 Reviewed-by: Nikos Nikoleris <nikos.nikoleris@arm.com> Maintainer: Nikos Nikoleris <nikos.nikoleris@arm.com>
2018-10-05mem-cache: Make checking function const in FALRUDaniel R. Carvalho
The checking function should not be able to modify either the head and tail pointers nor should it modify its class. Change-Id: I2ad495f0c8c6b778d48512143e94b4c9a353f22e Signed-off-by: Daniel R. Carvalho <odanrc@yahoo.com.br> Reviewed-on: https://gem5-review.googlesource.com/c/13209 Reviewed-by: Nikos Nikoleris <nikos.nikoleris@arm.com> Maintainer: Nikos Nikoleris <nikos.nikoleris@arm.com>
2018-06-19mem-cache: Fix support for secure blocks in the FALRU cacheNikos Nikoleris
Fully associative caches use an unordered map to enable efficient lookups of existing blocks. Previously this map was indexed using the tag of the block. Security extentions allow secure and non secure versions of a block with the same tag to co-exist in the cache. This patch amends the block map to allow correct lookups for FALRU caches. Change-Id: Iccf07464deab56d1d270bae14bb3b154047e3556 Reviewed-on: https://gem5-review.googlesource.com/11309 Reviewed-by: Jason Lowe-Power <jason@lowepower.com> Reviewed-by: Daniel Carvalho <odanrc@yahoo.com.br> Maintainer: Nikos Nikoleris <nikos.nikoleris@arm.com>
2018-06-13mem-cache: Make packet const in insertBlockDaniel R. Carvalho
The packet should not be modified within insertBlock. Change-Id: If7d2b01fe131f9923194efd155c9e85eeab24d5a Reviewed-on: https://gem5-review.googlesource.com/10811 Reviewed-by: Nikos Nikoleris <nikos.nikoleris@arm.com> Maintainer: Nikos Nikoleris <nikos.nikoleris@arm.com>
2018-06-08mem-cache: Use secure bit in findVictimDaniel R. Carvalho
Sector caches must know if there was a sector hit in order to decide whether a victim's sector must be fully evicted to give place to a new sector or not. In order to do so it needs the tag and secure information. Change-Id: Ib554169e25fa131d6bf986561f7970b787c56874 Reviewed-on: https://gem5-review.googlesource.com/10722 Reviewed-by: Nikos Nikoleris <nikos.nikoleris@arm.com> Maintainer: Nikos Nikoleris <nikos.nikoleris@arm.com>
2018-06-08mem-cache: Move tagsInUse to childrenDaniel R. Carvalho
Move tagsInUse to children, as sector caches have different tag invalidation and insertion, and thus they must handle updating this variable. Change-Id: I875c9b7364a909c76daf610d1e226c4e82063870 Reviewed-on: https://gem5-review.googlesource.com/10721 Reviewed-by: Nikos Nikoleris <nikos.nikoleris@arm.com> Maintainer: Nikos Nikoleris <nikos.nikoleris@arm.com>
2018-06-08mem-cache: Return evictions along with victimsDaniel R. Carvalho
For both sector and compressed caches multiple blocks may need to be evicted in order to make room for a new block. For example, when replacing a sector, all the blocks in this sector must be evicted. A replacement, however, does not always need to evict multiple blocks, as it is in the case of an insertion of a block whose sector is already present in the cache (i.e., its corresponding entry in the sector had not been brought in yet, so it was invalid). This patch creates the cache framework for that to happen. Change-Id: I77bedf69637cf899fef4d9432eb6da8529ea398b Reviewed-on: https://gem5-review.googlesource.com/10142 Reviewed-by: Jason Lowe-Power <jason@lowepower.com> Reviewed-by: Nikos Nikoleris <nikos.nikoleris@arm.com> Maintainer: Nikos Nikoleris <nikos.nikoleris@arm.com>
2018-06-08mem-cache: Use ReplaceableEntry in findBlockBySetAndWayDaniel R. Carvalho
With a sector cache you can't find a block using only its set and way, as there is the sector offset to take into account. As all of these blocks inherit from ReplaceableEntry, the return type of this function has been updated. This function has also been declared closer to findBlock() due to their similar functionality. Change-Id: I4730a2b4ebb5738f7fc118201e208a1b9c3ba8e8 Reviewed-on: https://gem5-review.googlesource.com/10141 Reviewed-by: Nikos Nikoleris <nikos.nikoleris@arm.com> Maintainer: Nikos Nikoleris <nikos.nikoleris@arm.com>
2018-05-31mem-cache: Fix include directives in the cache related classesNikos Nikoleris
Change-Id: I111b0f662897c43974aadb08da1ed85c7542585c Reviewed-on: https://gem5-review.googlesource.com/10433 Reviewed-by: Daniel Carvalho <odanrc@yahoo.com.br> Reviewed-by: Jason Lowe-Power <jason@lowepower.com> Maintainer: Nikos Nikoleris <nikos.nikoleris@arm.com>
2018-04-19mem-cache: Use findBlock in FALRU's block accessDaniel R. Carvalho
An access must perform a block search, which is done by findBlock. The tagHash is indexed by tags, so use extractTag instead of re- implementing its functionality. Change-Id: Ib5abacbc65cddf0f2d7e4440eb5355b56998a585 Reviewed-on: https://gem5-review.googlesource.com/10082 Reviewed-by: Jason Lowe-Power <jason@lowepower.com> Maintainer: Jason Lowe-Power <jason@lowepower.com>
2018-04-19mem-cache: Use secure flag in FALRU's findBlockDaniel R. Carvalho
FALRU's findBlock() must use the secure flag to assure proper functionality. Change-Id: I54e9fbd3c9093b3e8043c4c6c850b74a8f1f5ec0 Reviewed-on: https://gem5-review.googlesource.com/10081 Reviewed-by: Nikos Nikoleris <nikos.nikoleris@arm.com> Maintainer: Nikos Nikoleris <nikos.nikoleris@arm.com>
2018-04-18mem-cache: Revamp multiple size tracking for FALRU cachesNikos Nikoleris
This change fixes a few bugs and refactors the mechanism by which caches that use the FALRU tags can output statistics for multiple cache sizes ranging from the minimum cache of interest up to the actual configured cache size. Change-Id: Ibea029cf275a8c068c26eceeb06c761fc53aede2 Reviewed-on: https://gem5-review.googlesource.com/9826 Reviewed-by: Daniel Carvalho <odanrc@yahoo.com.br> Maintainer: Nikos Nikoleris <nikos.nikoleris@arm.com>
2018-04-13mem-cache: Add MoveToTail to FALRUDaniel R. Carvalho
FALRU was missing MoveToTail functionality within its invalidate function, and MoveToHead was doing unnecessary passes when the moved block was the head already. Besides, added some comments to make the code understandable. Change-Id: I2430d82b5d53c88b102a62610ea38b46d6e03a55 Reviewed-on: https://gem5-review.googlesource.com/9541 Reviewed-by: Nikos Nikoleris <nikos.nikoleris@arm.com> Maintainer: Nikos Nikoleris <nikos.nikoleris@arm.com>
2018-04-06mem: Remove unused 'using namespace'Daniel R. Carvalho
Removal of unused/barely used 'using namespace' from C++ files. Change-Id: I66dc548c04506db2e41180b9ea7ab5abd7d5375a Reviewed-on: https://gem5-review.googlesource.com/9601 Reviewed-by: Jason Lowe-Power <jason@lowepower.com> Reviewed-by: Nikos Nikoleris <nikos.nikoleris@arm.com> Maintainer: Nikos Nikoleris <nikos.nikoleris@arm.com>
2018-04-06mem-cache: Move insertBlock functionality in FALRUDaniel R. Carvalho
Block insertion is being done in the getCandidates function, while the insertBlock function does not do anything. Besides, BaseTags' stats weren't being updated. Change-Id: Iadab9c1ea61519214f66fa24c4b91c4fc95604c0 Reviewed-on: https://gem5-review.googlesource.com/8882 Reviewed-by: Nikos Nikoleris <nikos.nikoleris@arm.com> Maintainer: Nikos Nikoleris <nikos.nikoleris@arm.com>
2018-03-30mem-cache: Fix FALRU data block seg faultDaniel R. Carvalho
FALRU didn't initialize the blocks' data, causing seg faults. This patch does not make FALRU functional yet. Change-Id: I10cbcf5afc3f8bc357eeb8b7cb46789dec47ba8b Reviewed-on: https://gem5-review.googlesource.com/9302 Reviewed-by: Nikos Nikoleris <nikos.nikoleris@arm.com> Maintainer: Nikos Nikoleris <nikos.nikoleris@arm.com>
2018-03-22mem-cache: Split array indexing and replacement policies.Daniel R. Carvalho
Replacement policies (LRU, Random) are currently considered as array indexing methods, but have completely different functionalities: - Array indexers determine the possible locations for block allocation. This information is used to generate replacement candidates when conflicts happen. - Replacement policies determine which of the replacement candidates should be evicted to make room for new allocations. For this reason, they were split into different classes. Advantages: - Easier and more straightforward to implement other replacement policies (RRIP, LFU, ARC, ...) - Allow easier future implementation of cache organization schemes As now we can't assure the use of sets, the previous way to create a true LRU is not viable. Now a timestamp_bits parameter controls how many bits are dedicated for the timestamp, and a true LRU can be achieved through an infinite number of bits (although a few bits suffice in practice). Change-Id: I23750db121f1474d17831137e6ff618beb2b3eda Reviewed-on: https://gem5-review.googlesource.com/8501 Reviewed-by: Nikos Nikoleris <nikos.nikoleris@arm.com> Reviewed-by: Jason Lowe-Power <jason@lowepower.com> Maintainer: Nikos Nikoleris <nikos.nikoleris@arm.com>
2018-03-07mem-cache: Make invalidate a common function between tag classesNikos Nikoleris
invalidate was defined as a separate function in the base associative and fully-associative tags classes although both functions should implement identical functionality. This patch moves the invalidate function in the base tags class. Change-Id: I206ee969b00ab9e05873c6d87531474fcd712907 Reviewed-by: Andreas Sandberg <andreas.sandberg@arm.com> Reviewed-on: https://gem5-review.googlesource.com/8286 Reviewed-by: Daniel Carvalho <odanrc@yahoo.com.br> Maintainer: Nikos Nikoleris <nikos.nikoleris@arm.com>
2018-03-02mem-cache: Remove mumBlock redundant initialiation from FALRUNikos Nikoleris
Change-Id: Id3afec0a62446d6d0f44ccb655032343037637e0 Reviewed-by: Curtis Dunham <curtis.dunham@arm.com> Reviewed-on: https://gem5-review.googlesource.com/8281 Reviewed-by: Daniel Carvalho <odanrc@yahoo.com.br> Maintainer: Nikos Nikoleris <nikos.nikoleris@arm.com>
2018-02-08mem-cache: Make cache warmup percentage a parameter.Daniel R. Carvalho
The warmupPercentage is the percentage of different tags (based on the cache size) that need to be touched in order to warm up the cache. If Warmup failed (i.e., not enough tags were touched), warmup_cycle = 0. The warmup is not being taken into account to calculate the stats (i.e., stats acquisition starts before cache is warmed up). Maybe in the future this functionality should be added. Change-Id: I2b93a99c19fddb99a4c60e6d4293fa355744d05e Reviewed-on: https://gem5-review.googlesource.com/8061 Reviewed-by: Nikos Nikoleris <nikos.nikoleris@arm.com> Maintainer: Nikos Nikoleris <nikos.nikoleris@arm.com>
2017-12-04misc: Rename misc.(hh|cc) to logging.(hh|cc)Gabe Black
These files aren't a collection of miscellaneous stuff, they're the definition of the Logger interface, and a few utility macros for calling into that interface (panic, warn, etc.). Change-Id: I84267ac3f45896a83c0ef027f8f19c5e9a5667d1 Reviewed-on: https://gem5-review.googlesource.com/6226 Reviewed-by: Brandon Potter <Brandon.Potter@amd.com> Maintainer: Gabe Black <gabeblack@google.com>
2017-02-21mem: Remove unused arguments (asid/contex_id) from accessBlockNikos Nikoleris
Change-Id: I79c2662fc81630ab321db8a75be6cd15fa07d372 Reviewed-by: Andreas Hansson <andreas.hansson@arm.com> Signed-off-by: Andreas Sandberg <andreas.sandberg@arm.com>
2016-11-30mem: Split the hit_latency into tag_latency and data_latencySophiane Senni
If the cache access mode is parallel, i.e. "sequential_access" parameter is set to "False", tags and data are accessed in parallel. Therefore, the hit_latency is the maximum latency between tag_latency and data_latency. On the other hand, if the cache access mode is sequential, i.e. "sequential_access" parameter is set to "True", tags and data are accessed sequentially. Therefore, the hit_latency is the sum of tag_latency plus data_latency. Signed-off-by: Jason Lowe-Power <jason@lowepower.com>
2016-05-26mem: fix headers include order in the cache related classesNikos Nikoleris
Change-Id: Ia57cc104978861ab342720654e408dbbfcbe4b69 Reviewed-by: Andreas Sandberg <andreas.sandberg@arm.com>
2016-05-26mem: change NULL to nullptr in the cache related classesNikos Nikoleris
Change-Id: I5042410be54935650b7d05c84d8d9efbfcc06e70 Reviewed-by: Andreas Sandberg <andreas.sandberg@arm.com>
2015-11-06misc: Appease clang static analyzerAndreas Hansson
A few minor fixes to issues identified by the clang static analyzer.
2015-08-21arm, mem: Remove unused CLEAR_LL request flagAndreas Hansson
Cleaning up dead code. The CLREX stores zero directly to MISCREG_LOCKFLAG and so the request flag is no longer needed. The corresponding functionality in the cache tags is also removed.
2015-07-30mem: Make caches way awareDavid Guillen-Fandos
This patch makes cache sets aware of the way number. This enables some nice features such as the ablity to restrict way allocation. The implemented mechanism allows to set a maximum way number to be allocated 'k' which must fulfill 0 < k <= N (where N is the number of ways). In the future more sophisticated mechasims can be implemented.
2015-05-05mem: Remove templates in cache modelDavid Guillen
This patch changes the cache implementation to rely on virtual methods rather than using the replacement policy as a template argument. There is no impact on the simulation performance, and overall the changes make it easier to modify (and subclass) the cache and/or replacement policy.
2015-02-11mem: Clarify usage of latency in the cacheMarco Balboni
This patch adds some much-needed clarity in the specification of the cache timing. For now, hit_latency and response_latency are kept as top-level parameters, but the cache itself has a number of local variables to better map the individual timing variables to different behaviours (and sub-components). The introduced variables are: - lookupLatency: latency of tag lookup, occuring on any access - forwardLatency: latency that occurs in case of outbound miss - fillLatency: latency to fill a cache block We keep the existing responseLatency The forwardLatency is used by allocateInternalBuffer() for: - MSHR allocateWriteBuffer (unchached write forwarded to WriteBuffer); - MSHR allocateMissBuffer (cacheable miss in MSHR queue); - MSHR allocateUncachedReadBuffer (unchached read allocated in MSHR queue) It is our assumption that the time for the above three buffers is the same. Similarly, for snoop responses passing through the cache we use forwardLatency.
2014-09-09misc: Fix a number of unitialised variables and membersAndreas Hansson
Static analysis unearther a bunch of uninitialised variables and members, and this patch addresses the problem. In all cases these omissions seem benign in the end, but at least fixing them means less false positives next time round.
2014-01-28mem: Remove redundant findVictim() input argumentAmin Farmahini
The patch (1) removes the redundant writeback argument from findVictim() (2) fixes the description of access() function Committed by: Nilay Vaish <nilay@cs.wisc.edu>
2014-01-24mem: Add support for a security bit in the memory systemGiacomo Gabrielli
This patch adds the basic building blocks required to support e.g. ARM TrustZone by discerning secure and non-secure memory accesses.
2013-06-27mem: Reorganize cache tags and make them a SimObjectPrakash Ramrakhyani
This patch reorganizes the cache tags to allow more flexibility to implement new replacement policies. The base tags class is now a clocked object so that derived classes can use a clock if they need one. Also having deriving from SimObject allows specialized Tag classes to be swapped in/out in .py files. The cache set is now templatized to allow it to contain customized cache blocks with additional informaiton. This involved moving code to the .hh file and removing cacheset.cc. The statistics belonging to the cache tags are now including ".tags" in their name. Hence, the stats need an update to reflect the change in naming.
2013-02-19scons: Fix up numerous warnings about name shadowingAndreas Hansson
This patch address the most important name shadowing warnings (as produced when using gcc/clang with -Wshadow). There are many locations where constructor parameters and function parameters shadow local variables, but these are left unchanged.
2012-10-15Mem: Use cycles to express cache-related latenciesAndreas Hansson
This patch changes the cache-related latencies from an absolute time expressed in Ticks, to a number of cycles that can be scaled with the clock period of the caches. Ultimately this patch serves to enable future work that involves dynamic frequency scaling. As an immediate benefit it also makes it more convenient to specify cache performance without implicitly assuming a specific CPU core operating frequency. The stat blocked_cycles that actually counter in ticks is now updated to count in cycles. As the timing is now rounded to the clock edges of the cache, there are some regressions that change. Plenty of them have very minor changes, whereas some regressions with a short run-time are perturbed quite significantly. A follow-on patch updates all the statistics for the regressions.
2012-09-11Cache: Split invalidateBlk up to seperate block vs. tagsLena Olson
This seperates the functionality to clear the state in a block into blk.hh and the functionality to udpate the tag information into the tags. This gets rid of the case where calling invalidateBlk on an already-invalid block does something different than calling it on a valid block, which was confusing.
2012-07-09Fix: Address a few benign memory leaksAndreas Hansson
This patch is the result of static analysis identifying a number of memory leaks. The leaks are all benign as they are a result of not deallocating memory in the desctructor. The fix still has value as it removes false positives in the static analysis.
2011-01-07Replace curTick global variable with accessor functions.Steve Reinhardt
This step makes it easy to replace the accessor functions (which still access a global variable) with ones that access per-thread curTick values.
2010-08-23MEM: Make CLREX a first class request operation and clear locks in caches ↵Gene Wu
when it in received
2010-02-23cache: Make caches sharing aware and add occupancy stats.Lisa Hsu
On the config end, if a shared L2 is created for the system, it is parameterized to have n sharers as defined by option.num_cpus. In addition to making the cache sharing aware so that discriminating tag policies can make use of context_ids to make decisions, I added an occupancy AverageStat and an occ % stat to each cache so that you could know which contexts are occupying how much cache on average, both in terms of blocks and percentage. Note that since devices have context_id -1, having an array of occ stats that correspond to each context_id will break here, so in FS mode I add an extra bucket for device blocks. This bucket is explicitly not added in SE mode in order to not only avoid ugliness in the stats.txt file, but to avoid broken stats (some formulas break when a bucket is 0).