On Thu, 16 Jun 2016, Allen Samuels wrote: > > -----Original Message----- > > From: Sage Weil [mailto:sage@xxxxxxxxxxxx] > > Sent: Thursday, June 16, 2016 9:47 AM > > To: Allen Samuels <Allen.Samuels@xxxxxxxxxxx> > > Cc: Mark Nelson <mnelson@xxxxxxxxxx>; Evgeniy Firsov > > <Evgeniy.Firsov@xxxxxxxxxxx>; Jianjian Huo <jianjian.huo@xxxxxxxxxxx>; > > Somnath Roy <Somnath.Roy@xxxxxxxxxxx>; Igor Fedotov > > <ifedotov@xxxxxxxxxxxx>; Manavalan Krishnan > > <Manavalan.Krishnan@xxxxxxxxxxx>; Varada Kari > > <Varada.Kari@xxxxxxxxxxx>; Ramesh Chander > > <Ramesh.Chander@xxxxxxxxxxx>; ceph-devel@xxxxxxxxxxxxxxx > > Subject: Re: bluestore onode encoding efficiency > > > > Based on some of Allen's comments I've updated my branch with (so far) > > three different encoders: > > > > 1) varint - general purpose small integers (lops off high and low zero > > bits) > > > > first byte: > > low 2 bits = how many low nibbles of zeros > > 5 bits = data > > 1 high bit = another byte follows > > subsequent bytes: > > 7 bits = data > > 1 high bit = another byte follows > > > > 2) delta varint > > > > first byte: > > 1 low bit = sign (0 = positive, 1 = negative) > > low 2 bits = how many low nibbles of zeros > > 4 bits = data > > 1 high bit = another byte follows > > subsequent bytes: > > 7 bits = data > > 1 high bit = another byte follows > > > > 3) raw lba: > > > > first 3 bytes: > > low 2 bits = how many low bits of zeros > > 00 = none > > 01 = 12 (4k alignment) > > 10 = 16 (64k alignment) > > 11 = 20 (256k alignment) > > 21 bits = data > > 1 high bit = another byte follows > > subsequent bytes: > > 7 bits = data > > 1 high bit = another byte follows > > Let's do some math here :) > > Let's say I want to optimize for 4, 8, 16 and 32 TB devices going > forward. > > That's 2^42, 43, 44 and 45 respectively. > > If assume a 4K blocksize/alignment, then we need 30, 31, 32 and 33 > significant bits after downshifting for encoding. > > That means for 30 bits I'll have 21 + 7 + 2 encoded bits which requires > 5 bytes for a 4TB device. However, 1/2 of the addresses only need 29 > bits (and 1/4 need 28, etc.) So the approximate blended size is about > 4.75 Bytes for a 4TB (1/4 of the addresses can save a byte) And about > 4.875 Bytes for 8TB (1/8 of the addresses can save a byte). We won't > need another byte until we operate on 128TB devices. > > If we switch to 64K alignment (reasonable for many HDD use-cases), then > the #'s change to be 26, 27, 28 and 29 respectively, > > That's 21 + 5 for 4TB which gets encoded in 4 bytes. 8 and 16TB also > take 4Bytes, you need 32TB before you need 5Bytes. > > If we change the encoding above so that the first chunk is 4 bytes > (easier to deal with :)) and leave everything alone, then we have 39 > bits of mantissa Now for a 4KB align / 4TB device you only need 4.5 > Bytes which is a savings of .25 Bytes, which will could easily be > significant when you have up to 1K phys addrs / oNode. Yeah, I did my math wrong... I thought I was getting 3 bytes for ~1TB devices at 64K alignment. Not that those drives are common even now anyway, though. Moving to 4 bytes will be a faster encode/decode too. > I could argue for a skew on the format encoding, i.e., 0x for 4K, 110 > for 16K, 111 for byte align, ,etc. and gain another bit picking up a > further .5 bytes on a 4TB device. The other nice thing about this is we get another options for dropping low bits: 0* = 12 (4k) 100* = byte align 101* = 16 (64k) 110* = 20 (256k) 111* = 24 (1024k) or perhaps go by 3's. BTW, here's the first set of size cleanups. It rips out unused fields, including the overlay stuff. We can re-add it later if we decide it's a strategy worth pursuing. https://github.com/ceph/ceph/pull/9756 sage > The 16-bit alignment case isn't materially affected by this. > > In conclusion. I think -- at a minimum -- you should switch to a first 4 > bytes (rather than a first 3 bytes) for this use case. It doesn't seem > to have any negative and there are significant positives. > > A weaker case would be to switch the two bit encoding to something that > favored 4K (the likely most prevalent) alignment, picking up another bit > before a multi-byte encoding is needed. > > > > > 4) lba delta (distance between two lba's, e.g., when encoding a list of > > extents) > > > > first byte: > > 1 low bit = sign (0 = positive, 1 = negative) > > 2 bits = how many low bits of zeros > > 00 = none > > 01 = 12 (4k alignment) > > 10 = 16 (64k alignment) > > 11 = 20 (256k alignment) > > 4 bits = data > > 1 bit = another byte follows > > subsequent bytes: > > 7 bits = data > > 1 bit = another byte follows > > > > Notably on this one we have 4 bits of data *and* when we roll over to > > the next value you'll get 4 trailing 0's and we ask for one > > more nibble of trailing 0's... still in one encoded byte. > > > > > > I think this'll be a decent set of building blocks to encoding the existing > > structures efficiently (and still in a generic way) before getting specific with > > common patterns. > > > > https://github.com/ceph/ceph/pull/9728/files > > > > sage > > > > > > On Wed, 15 Jun 2016, Sage Weil wrote: > > > > > > If we have those, I'm not sure #1 will be worth it--the zeroed offset > > > fields will encode with one byte. > > > > > > > (3) re-jiggering of blob/extents when possible. Much of the > > > > two-level blob/extent map exists to support compression. When you're > > > > not compressed you can collapse this into a single blob and avoid > > > > the encoding overhead for it. > > > > > > Hmm, good idea. As long as the csum parameters match we can do this. > > > The existing function > > > > > > int bluestore_onode_t::compress_extent_map() > > > > > > currently just combines consecutive lextent's that point to contiguous > > > regions in the same blob. We could extend this to combine blobs that > > > are combinable. > > > > > > > There are other potential optimizations too that are artifacts of > > > > the current code. For example, we support different checksum > > > > algorithms/values on a per-blob basis. Clearly moving this to a > > > > per-oNode basis is acceptable and would simplify and shrink the > > > > encoding even more. > > > > > > The latest csum branch > > > > > > https://github.com/ceph/ceph/pull/9526 > > > > > > varies csum_order on a per-blob basis (for example, larger csum chunks > > > for compressed blobs and small csum chunks for uncompressed blobs with > > > 4k overwrites). The alg is probably consistent across the onode, but > > > the will uglify the code a bit to pass it into the blob_t csum > > > methods. I'd prefer to hold off on this. With the varint encoding > > > above it'll only be one byte per blob at least. > > > > > > sage > > > > > > -- > > > To unsubscribe from this list: send the line "unsubscribe ceph-devel" > > > in the body of a message to majordomo@xxxxxxxxxxxxxxx More > > majordomo > > > info at http://vger.kernel.org/majordomo-info.html > > > > > > > -- > To unsubscribe from this list: send the line "unsubscribe ceph-devel" in > the body of a message to majordomo@xxxxxxxxxxxxxxx > More majordomo info at http://vger.kernel.org/majordomo-info.html > > -- To unsubscribe from this list: send the line "unsubscribe ceph-devel" in the body of a message to majordomo@xxxxxxxxxxxxxxx More majordomo info at http://vger.kernel.org/majordomo-info.html