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CIP: 16
Title: PoC2.X16 - A New Optimized Plot File Format
Author: PoCC/JohnnyFFM
Comments-Summary: general pro-sentiment
Comments-URI: https://www.reddit.com/r/burstcoin/comments/a1qyoq/cip_announcement_poc2x16_a_new_optimized_plot/
Status: Accepted
Type: Enhancement
Created: 2018-11-30

Abstract

This CIP is about a new plot file format further optimising the current plot file format (PoC2) for data parallelism. It is important to understand that this format is optional. There is no need to convert existing files. PoC2.X16 can co-exist with PoC2. It’s a format for enthusiasts and will perform better than PoC2, i.e. plotting and mining will be faster. It doesn’t require a fork and is only affecting plotting and mining software. PoC2 can be converted to PoC2.X16 and vice versa.

Motivation

Creating or mining plot files involves performing the same task (hashing) on different data items. Plotting is hashing an account id with different seeds (nonces) and mining is hashing a fraction (1/4096, aka a “scoop”) of the data generated seeded with the last generation signature. For maximum speed, current plotting and mining software is already using data parallelism and concurrency. Concurrency is achieved by distributing work to several threads and performing computations on several CPU and/or GPU cores in parallel. Data parallelism is achieved by using SIMD extensions of modern CPUs or by using GPUs. However, although we are using data parallelism, data in a plot file is not aligned for this form of parallel computing creating unnecessary overhead.

From a top level view, the current process is:

Plotters are using SIMD-CPUs or GPUs to generate plot file data. The data produced by these computation units is aligned for data parallelism but is then algorithmically unaligned before being physically stored in a plot file. Miners are then reading this unaligned data and algorithmically realign it before performing hashing operations (figure 1). The Poc2.X16 format targets to get rid of these superfluous un- and realignment operations (figure 2).

PoC2 Data Alignment PoC2.X16 Data Alignment

Optimisation

To understand the new format it is necessary to acquire a thorough understanding of the current PoC2 format, of the steps involved in creating plotfiles and of the underlying hashing algorithm shabal256. I recommend reading the article on plot file creation on burstwiki[1] and the technical specification of the Shabal algorithm[2]. Additionally it is beneficial to understand how memory works, how data is accessed and what a cache line is[3]. I also recommend reading the Nvidia OpenCL Best Practices Guide[4] with a focus on data coalescence

When hashing data with Shabal, data is first split into message blocks of 512bit length. Each message contains 16 words (32bit integers) and all arithmetic operations are performed on these words. Let’s have a look at what happens if we want to hash plot file data in parallel when mining and assume we are using an AVX2 CPU. AVX2 allows processing eight nonces in parallel (AVX2 supports up to eight 32bit integer operations in parallel). We are reading a scoop for 8 nonces of the plotfile (8 x 2 x 32byte shabal hashes, i.e. 4096 bit of data comprising 128 words) and want to perform a single arithmetic operation of the Shabal algorithm. Let’s assume we need the first word of each nonce. Since nonces are stored sequentially, we find the first word at bit offset 0, the second word at bit offset 512, third at 1024 and so on. We then read all those words into a contiguous buffer (gathering operation) to then load the data into the SIMD registers. Once in the registers, we can perform SIMD-operations. The gathering of data is quite an expensive operation. To gather the data for 8 nonces we need to obtain 8 cache lines, 64 byte each, coalesce the data and store it.

Get PoC2-Data for SMID Processing

So rather than performing this operation every time we load data into SIMD registers, it would make more sense to directly store the data such that words are aligned in sequence. We would then just need to load a single cache line and that’s it. This makes even more sense when we take into account that the data is already word-wise aligned when we are creating plot files using a SIMD-CPU or a GPU. There is no need to un-align data before saving it to disk.

When we think about aligning data on word level, we would need to think about the data of how many nonces we want to align. For the above example with AVX2 it seems to make sense to align the data of 8 nonces. But what if we use SSE2, AVX or AVX512f? Or even a GPU? Let’s have a look at the number of words processed in parallel for each technology:

Nonces per operation for common data parallelism technologies

A plot file format for every technology? No. Let’s use our knowledge about memory. The smallest unit we can access in memory is a cache line with 64byte = 512bit. So a cache line stores 16 words and therefore it makes sense to align data in blocks of 16 nonces. To load data for SSE for example, we would load a cache lines comprising 16 words of 16 nonces but only use 4 for the computation. Depending on CPU cache size we might be lucky and don’t have to read the cache line again when processing the next 4 nonces. The same holds for AVX2 but accessing 8 nonces. AVX512f is a perfect fit: a single cache line fits an AVX512f register. GPU is slightly different. For a workgroup-size of 1024 for example, we would need to read 64 cache lines. It doesn’t matter if the data is aligned to 16 nonces or to 1024 nonces, in both cases the number of cache line reads is identical. So even for GPUs 16 nonces is an excellent fit.

PoC2.X16 format specifications

So how does the PoC2.X16 plot file format look like? First, a PoC2.X16 plot file holds a multiple of 16 nonces, i.e. its size is a multiple of 4MiB. Scoop data is sequentially stored just like in optimised PoC2. However, the data inside a scoop is stored and addressed differently:

PoC2 Adressing (in words):
address (nonce, hash, word) = (nonce * SCOOP_SIZE_WORDS + hash * HASH_SIZE_WORDS + word)

PoC2.X16 Adressing (in words):
Address (nonce, hash, word) = (nonce / 16) * 16 * SCOOP_SIZE_WORDS + (hash) * 16 * HASH_SIZE_WORDS
                            + word * NONCES_VECTOR + (nonce % 16))

SCOOP_SIZE_WORDS = 16 , HASH_SIZE_WORDS = 8
nonce = 0…number of nonces in file, hash = 0..2 (first hash or second hash), word = 0..8

For the filename, we suggest the file name extension “.X16”.

References

[1]https://burstwiki.org/wiki/Technical\_information\_to\_create\_plot\_files

[2]The Saphir Project: Shabal, a Submission to NIST's Cryptographic Hash Algorithm Competition https://www.cs.rit.edu/\~ark/20090927/Round2Candidates/Shabal.pdf

[3] Ulrich Drepper: What every programmer should know about memory, https://people.freebsd.org/\~lstewart/articles/cpumemory.pdf

[4]https://www.nvidia.com/content/cudazone/CUDABrowser/downloads/papers/NVIDIA\_OpenCL\_BestPracticesGuide.pdf

Copyright

This document is placed in the public domain.

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