diff --git a/lib/connections/kcp_dial.go b/lib/connections/kcp_dial.go index dfafa6ad4..702b433e8 100644 --- a/lib/connections/kcp_dial.go +++ b/lib/connections/kcp_dial.go @@ -51,7 +51,6 @@ func (d *kcpDialer) Dial(id protocol.DeviceID, uri *url.URL) (internalConn, erro opts := d.cfg.Options() - conn.SetKeepAlive(0) // yamux and stun service does keep-alives. conn.SetStreamMode(true) conn.SetACKNoDelay(false) conn.SetWindowSize(opts.KCPSendWindowSize, opts.KCPReceiveWindowSize) diff --git a/lib/connections/kcp_listen.go b/lib/connections/kcp_listen.go index 2187e4831..5b44ca39e 100644 --- a/lib/connections/kcp_listen.go +++ b/lib/connections/kcp_listen.go @@ -109,7 +109,6 @@ func (t *kcpListener) Serve() { opts := t.cfg.Options() - conn.SetKeepAlive(0) // yamux and stun service does keep-alives. conn.SetStreamMode(true) conn.SetACKNoDelay(false) conn.SetWindowSize(opts.KCPSendWindowSize, opts.KCPReceiveWindowSize) diff --git a/vendor/github.com/klauspost/reedsolomon/README.md b/vendor/github.com/klauspost/reedsolomon/README.md deleted file mode 100644 index 3e7f51841..000000000 --- a/vendor/github.com/klauspost/reedsolomon/README.md +++ /dev/null @@ -1,204 +0,0 @@ -# Reed-Solomon -[![GoDoc][1]][2] [![Build Status][3]][4] - -[1]: https://godoc.org/github.com/klauspost/reedsolomon?status.svg -[2]: https://godoc.org/github.com/klauspost/reedsolomon -[3]: https://travis-ci.org/klauspost/reedsolomon.svg?branch=master -[4]: https://travis-ci.org/klauspost/reedsolomon - -Reed-Solomon Erasure Coding in Go, with speeds exceeding 1GB/s/cpu core implemented in pure Go. - -This is a golang port of the [JavaReedSolomon](https://github.com/Backblaze/JavaReedSolomon) library released by [Backblaze](http://backblaze.com), with some additional optimizations. - -For an introduction on erasure coding, see the post on the [Backblaze blog](https://www.backblaze.com/blog/reed-solomon/). - -Package home: https://github.com/klauspost/reedsolomon - -Godoc: https://godoc.org/github.com/klauspost/reedsolomon - -# Installation -To get the package use the standard: -```bash -go get github.com/klauspost/reedsolomon -``` - -# Usage - -This section assumes you know the basics of Reed-Solomon encoding. A good start is this [Backblaze blog post](https://www.backblaze.com/blog/reed-solomon/). - -This package performs the calculation of the parity sets. The usage is therefore relatively simple. - -First of all, you need to choose your distribution of data and parity shards. A 'good' distribution is very subjective, and will depend a lot on your usage scenario. A good starting point is above 5 and below 257 data shards (the maximum supported number), and the number of parity shards to be 2 or above, and below the number of data shards. - -To create an encoder with 10 data shards (where your data goes) and 3 parity shards (calculated): -```Go - enc, err := reedsolomon.New(10, 3) -``` -This encoder will work for all parity sets with this distribution of data and parity shards. The error will only be set if you specify 0 or negative values in any of the parameters, or if you specify more than 256 data shards. - -The you send and receive data is a simple slice of byte slices; `[][]byte`. In the example above, the top slice must have a length of 13. -```Go - data := make([][]byte, 13) -``` -You should then fill the 10 first slices with *equally sized* data, and create parity shards that will be populated with parity data. In this case we create the data in memory, but you could for instance also use [mmap](https://github.com/edsrzf/mmap-go) to map files. - -```Go - // Create all shards, size them at 50000 each - for i := range input { - data[i] := make([]byte, 50000) - } - - - // Fill some data into the data shards - for i, in := range data[:10] { - for j:= range in { - in[j] = byte((i+j)&0xff) - } - } -``` - -To populate the parity shards, you simply call `Encode()` with your data. -```Go - err = enc.Encode(data) -``` -The only cases where you should get an error is, if the data shards aren't of equal size. The last 3 shards now contain parity data. You can verify this by calling `Verify()`: - -```Go - ok, err = enc.Verify(data) -``` - -The final (and important) part is to be able to reconstruct missing shards. For this to work, you need to know which parts of your data is missing. The encoder *does not know which parts are invalid*, so if data corruption is a likely scenario, you need to implement a hash check for each shard. If a byte has changed in your set, and you don't know which it is, there is no way to reconstruct the data set. - -To indicate missing data, you set the shard to nil before calling `Reconstruct()`: - -```Go - // Delete two data shards - data[3] = nil - data[7] = nil - - // Reconstruct the missing shards - err := enc.Reconstruct(data) -``` -The missing data and parity shards will be recreated. If more than 3 shards are missing, the reconstruction will fail. - -So to sum up reconstruction: -* The number of data/parity shards must match the numbers used for encoding. -* The order of shards must be the same as used when encoding. -* You may only supply data you know is valid. -* Invalid shards should be set to nil. - -For complete examples of an encoder and decoder see the [examples folder](https://github.com/klauspost/reedsolomon/tree/master/examples). - -# Splitting/Joining Data - -You might have a large slice of data. To help you split this, there are some helper functions that can split and join a single byte slice. - -```Go - bigfile, _ := ioutil.Readfile("myfile.data") - - // Split the file - split, err := enc.Split(bigfile) -``` -This will split the file into the number of data shards set when creating the encoder and create empty parity shards. - -An important thing to note is that you have to *keep track of the exact input size*. If the size of the input isn't diviable by the number of data shards, extra zeros will be inserted in the last shard. - -To join a data set, use the `Join()` function, which will join the shards and write it to the `io.Writer` you supply: -```Go - // Join a data set and write it to io.Discard. - err = enc.Join(io.Discard, data, len(bigfile)) -``` - -# Streaming/Merging - -It might seem like a limitation that all data should be in memory, but an important property is that *as long as the number of data/parity shards are the same, you can merge/split data sets*, and they will remain valid as a separate set. - -```Go - // Split the data set of 50000 elements into two of 25000 - splitA := make([][]byte, 13) - splitB := make([][]byte, 13) - - // Merge into a 100000 element set - merged := make([][]byte, 13) - - for i := range data { - splitA[i] = data[i][:25000] - splitB[i] = data[i][25000:] - - // Concencate it to itself - merged[i] = append(make([]byte, 0, len(data[i])*2), data[i]...) - merged[i] = append(merged[i], data[i]...) - } - - // Each part should still verify as ok. - ok, err := enc.Verify(splitA) - if ok && err == nil { - log.Println("splitA ok") - } - - ok, err = enc.Verify(splitB) - if ok && err == nil { - log.Println("splitB ok") - } - - ok, err = enc.Verify(merge) - if ok && err == nil { - log.Println("merge ok") - } -``` - -This means that if you have a data set that may not fit into memory, you can split processing into smaller blocks. For the best throughput, don't use too small blocks. - -This also means that you can divide big input up into smaller blocks, and do reconstruction on parts of your data. This doesn't give the same flexibility of a higher number of data shards, but it will be much more performant. - -# Streaming API - -There has been added a fully streaming API, to help perform fully streaming operations, which enables you to do the same operations, but on streams. To use the stream API, use [`NewStream`](https://godoc.org/github.com/klauspost/reedsolomon#NewStream) function to create the encoding/decoding interfaces. You can use [`NewStreamC`](https://godoc.org/github.com/klauspost/reedsolomon#NewStreamC) to ready an interface that reads/writes concurrently from the streams. - -Input is delivered as `[]io.Reader`, output as `[]io.Writer`, and functionality corresponds to the in-memory API. Each stream must supply the same amount of data, similar to how each slice must be similar size with the in-memory API. -If an error occurs in relation to a stream, a [`StreamReadError`](https://godoc.org/github.com/klauspost/reedsolomon#StreamReadError) or [`StreamWriteError`](https://godoc.org/github.com/klauspost/reedsolomon#StreamWriteError) will help you determine which stream was the offender. - -There is no buffering or timeouts/retry specified. If you want to add that, you need to add it to the Reader/Writer. - -For complete examples of a streaming encoder and decoder see the [examples folder](https://github.com/klauspost/reedsolomon/tree/master/examples). - - -# Performance -Performance depends mainly on the number of parity shards. In rough terms, doubling the number of parity shards will double the encoding time. - -Here are the throughput numbers with some different selections of data and parity shards. For reference each shard is 1MB random data, and 2 CPU cores are used for encoding. - -| Data | Parity | Parity | MB/s | SSSE3 MB/s | SSSE3 Speed | Rel. Speed | -|------|--------|--------|--------|-------------|-------------|------------| -| 5 | 2 | 40% | 576,11 | 2599,2 | 451% | 100,00% | -| 10 | 2 | 20% | 587,73 | 3100,28 | 528% | 102,02% | -| 10 | 4 | 40% | 298,38 | 2470,97 | 828% | 51,79% | -| 50 | 20 | 40% | 59,81 | 713,28 | 1193% | 10,38% | - -If `runtime.GOMAXPROCS()` is set to a value higher than 1, the encoder will use multiple goroutines to perform the calculations in `Verify`, `Encode` and `Reconstruct`. - -Example of performance scaling on Intel(R) Core(TM) i7-2600 CPU @ 3.40GHz - 4 physical cores, 8 logical cores. The example uses 10 blocks with 16MB data each and 4 parity blocks. - -| Threads | MB/s | Speed | -|---------|---------|-------| -| 1 | 1355,11 | 100% | -| 2 | 2339,78 | 172% | -| 4 | 3179,33 | 235% | -| 8 | 4346,18 | 321% | - -# asm2plan9s - -[asm2plan9s](https://github.com/fwessels/asm2plan9s) is used for assembling the AVX2 instructions into their BYTE/WORD/LONG equivalents. - -# Links -* [Backblaze Open Sources Reed-Solomon Erasure Coding Source Code](https://www.backblaze.com/blog/reed-solomon/). -* [JavaReedSolomon](https://github.com/Backblaze/JavaReedSolomon). Compatible java library by Backblaze. -* [reedsolomon-c](https://github.com/jannson/reedsolomon-c). C version, compatible with output from this package. -* [Reed-Solomon Erasure Coding in Haskell](https://github.com/NicolasT/reedsolomon). Haskell port of the package with similar performance. -* [go-erasure](https://github.com/somethingnew2-0/go-erasure). A similar library using cgo, slower in my tests. -* [rsraid](https://github.com/goayame/rsraid). A similar library written in Go. Slower, but supports more shards. -* [Screaming Fast Galois Field Arithmetic](http://www.snia.org/sites/default/files2/SDC2013/presentations/NewThinking/EthanMiller_Screaming_Fast_Galois_Field%20Arithmetic_SIMD%20Instructions.pdf). Basis for SSE3 optimizations. - -# License - -This code, as the original [JavaReedSolomon](https://github.com/Backblaze/JavaReedSolomon) is published under an MIT license. See LICENSE file for more information. diff --git a/vendor/github.com/klauspost/reedsolomon/appveyor.yml b/vendor/github.com/klauspost/reedsolomon/appveyor.yml deleted file mode 100644 index 9bb067fdd..000000000 --- a/vendor/github.com/klauspost/reedsolomon/appveyor.yml +++ /dev/null @@ -1,20 +0,0 @@ -os: Visual Studio 2015 - -platform: x64 - -clone_folder: c:\gopath\src\github.com\klauspost\reedsolomon - -# environment variables -environment: - GOPATH: c:\gopath - -install: - - echo %PATH% - - echo %GOPATH% - - go version - - go env - - go get -d ./... - -build_script: - - go test -v -cpu=2 ./... - - go test -cpu=1,2,4 -short -race ./... diff --git a/vendor/github.com/klauspost/reedsolomon/examples/README.md b/vendor/github.com/klauspost/reedsolomon/examples/README.md deleted file mode 100644 index 7c5ad53e1..000000000 --- a/vendor/github.com/klauspost/reedsolomon/examples/README.md +++ /dev/null @@ -1,45 +0,0 @@ -# Examples - -This folder contains usage examples of the Reed-Solomon encoder. - -# Simple Encoder/Decoder - -Shows basic use of the encoder, and will encode a single file into a number of -data and parity shards. This is meant as an example and is not meant for production use -since there is a number of shotcomings noted below. - -To build an executable use: - -```bash -go build simple-decoder.go -go build simple-encoder.go -``` - -# Streamin API examples - -There are streaming examples of the same functionality, which streams data instead of keeping it in memory. - -To build the executables use: - -```bash -go build stream-decoder.go -go build stream-encoder.go -``` - -## Shortcomings -* If the file size of the input isn't diviable by the number of data shards - the output will contain extra zeroes -* If the shard numbers isn't the same for the decoder as in the - encoder, invalid output will be generated. -* If values have changed in a shard, it cannot be reconstructed. -* If two shards have been swapped, reconstruction will always fail. - You need to supply the shards in the same order as they were given to you. - -The solution for this is to save a metadata file containing: - -* File size. -* The number of data/parity shards. -* HASH of each shard. -* Order of the shards. - -If you save these properties, you should abe able to detect file corruption in a shard and be able to reconstruct your data if you have the needed number of shards left. diff --git a/vendor/github.com/klauspost/reedsolomon/galois_amd64.go b/vendor/github.com/klauspost/reedsolomon/galois_amd64.go index e4d686e7a..bb99ea659 100644 --- a/vendor/github.com/klauspost/reedsolomon/galois_amd64.go +++ b/vendor/github.com/klauspost/reedsolomon/galois_amd64.go @@ -5,10 +5,6 @@ package reedsolomon -import ( - "github.com/klauspost/cpuid" -) - //go:noescape func galMulSSSE3(low, high, in, out []byte) @@ -40,12 +36,12 @@ func galMulSSSE3Xor(low, high, in, out []byte) { } */ -func galMulSlice(c byte, in, out []byte) { +func galMulSlice(c byte, in, out []byte, ssse3, avx2 bool) { var done int - if cpuid.CPU.AVX2() { + if avx2 { galMulAVX2(mulTableLow[c][:], mulTableHigh[c][:], in, out) done = (len(in) >> 5) << 5 - } else if cpuid.CPU.SSSE3() { + } else if ssse3 { galMulSSSE3(mulTableLow[c][:], mulTableHigh[c][:], in, out) done = (len(in) >> 4) << 4 } @@ -58,12 +54,12 @@ func galMulSlice(c byte, in, out []byte) { } } -func galMulSliceXor(c byte, in, out []byte) { +func galMulSliceXor(c byte, in, out []byte, ssse3, avx2 bool) { var done int - if cpuid.CPU.AVX2() { + if avx2 { galMulAVX2Xor(mulTableLow[c][:], mulTableHigh[c][:], in, out) done = (len(in) >> 5) << 5 - } else if cpuid.CPU.SSSE3() { + } else if ssse3 { galMulSSSE3Xor(mulTableLow[c][:], mulTableHigh[c][:], in, out) done = (len(in) >> 4) << 4 } diff --git a/vendor/github.com/klauspost/reedsolomon/galois_noasm.go b/vendor/github.com/klauspost/reedsolomon/galois_noasm.go index 1c6b8c4da..be90a3311 100644 --- a/vendor/github.com/klauspost/reedsolomon/galois_noasm.go +++ b/vendor/github.com/klauspost/reedsolomon/galois_noasm.go @@ -4,14 +4,14 @@ package reedsolomon -func galMulSlice(c byte, in, out []byte) { +func galMulSlice(c byte, in, out []byte, ssse3, avx2 bool) { mt := mulTable[c] for n, input := range in { out[n] = mt[input] } } -func galMulSliceXor(c byte, in, out []byte) { +func galMulSliceXor(c byte, in, out []byte, ssse3, avx2 bool) { mt := mulTable[c] for n, input := range in { out[n] ^= mt[input] diff --git a/vendor/github.com/klauspost/reedsolomon/galois_test.go b/vendor/github.com/klauspost/reedsolomon/galois_test.go index be12aecc8..2b91f6866 100644 --- a/vendor/github.com/klauspost/reedsolomon/galois_test.go +++ b/vendor/github.com/klauspost/reedsolomon/galois_test.go @@ -131,13 +131,13 @@ func TestGalois(t *testing.T) { // Test slices (>16 entries to test assembler) in := []byte{0, 1, 2, 3, 4, 5, 6, 10, 50, 100, 150, 174, 201, 255, 99, 32, 67, 85} out := make([]byte, len(in)) - galMulSlice(25, in, out) + galMulSlice(25, in, out, false, false) expect := []byte{0x0, 0x19, 0x32, 0x2b, 0x64, 0x7d, 0x56, 0xfa, 0xb8, 0x6d, 0xc7, 0x85, 0xc3, 0x1f, 0x22, 0x7, 0x25, 0xfe} if 0 != bytes.Compare(out, expect) { t.Errorf("got %#v, expected %#v", out, expect) } - galMulSlice(177, in, out) + galMulSlice(177, in, out, false, false) expect = []byte{0x0, 0xb1, 0x7f, 0xce, 0xfe, 0x4f, 0x81, 0x9e, 0x3, 0x6, 0xe8, 0x75, 0xbd, 0x40, 0x36, 0xa3, 0x95, 0xcb} if 0 != bytes.Compare(out, expect) { t.Errorf("got %#v, expected %#v", out, expect) diff --git a/vendor/github.com/klauspost/reedsolomon/options.go b/vendor/github.com/klauspost/reedsolomon/options.go new file mode 100644 index 000000000..9f285fce5 --- /dev/null +++ b/vendor/github.com/klauspost/reedsolomon/options.go @@ -0,0 +1,67 @@ +package reedsolomon + +import ( + "runtime" + + "github.com/klauspost/cpuid" +) + +// Option allows to override processing parameters. +type Option func(*options) + +type options struct { + maxGoroutines int + minSplitSize int + useAVX2, useSSSE3 bool +} + +var defaultOptions = options{ + maxGoroutines: 50, + minSplitSize: 512, +} + +func init() { + if runtime.GOMAXPROCS(0) <= 1 { + defaultOptions.maxGoroutines = 1 + } + // Detect CPU capabilities. + defaultOptions.useSSSE3 = cpuid.CPU.SSSE3() + defaultOptions.useAVX2 = cpuid.CPU.AVX2() +} + +// WithMaxGoroutines is the maximum number of goroutines number for encoding & decoding. +// Jobs will be split into this many parts, unless each goroutine would have to process +// less than minSplitSize bytes (set with WithMinSplitSize). +// For the best speed, keep this well above the GOMAXPROCS number for more fine grained +// scheduling. +// If n <= 0, it is ignored. +func WithMaxGoroutines(n int) Option { + return func(o *options) { + if n > 0 { + o.maxGoroutines = n + } + } +} + +// MinSplitSize Is the minimum encoding size in bytes per goroutine. +// See WithMaxGoroutines on how jobs are split. +// If n <= 0, it is ignored. +func WithMinSplitSize(n int) Option { + return func(o *options) { + if n > 0 { + o.maxGoroutines = n + } + } +} + +func withSSE3(enabled bool) Option { + return func(o *options) { + o.useSSSE3 = enabled + } +} + +func withAVX2(enabled bool) Option { + return func(o *options) { + o.useAVX2 = enabled + } +} diff --git a/vendor/github.com/klauspost/reedsolomon/reedsolomon.go b/vendor/github.com/klauspost/reedsolomon/reedsolomon.go index 914ebe0ad..33b5c2de4 100644 --- a/vendor/github.com/klauspost/reedsolomon/reedsolomon.go +++ b/vendor/github.com/klauspost/reedsolomon/reedsolomon.go @@ -15,7 +15,6 @@ import ( "bytes" "errors" "io" - "runtime" "sync" ) @@ -83,6 +82,7 @@ type reedSolomon struct { m matrix tree inversionTree parity [][]byte + o options } // ErrInvShardNum will be returned by New, if you attempt to create @@ -98,13 +98,18 @@ var ErrMaxShardNum = errors.New("cannot create Encoder with 255 or more data+par // the number of data shards and parity shards that // you want to use. You can reuse this encoder. // Note that the maximum number of data shards is 256. -func New(dataShards, parityShards int) (Encoder, error) { +// If no options are supplied, default options are used. +func New(dataShards, parityShards int, opts ...Option) (Encoder, error) { r := reedSolomon{ DataShards: dataShards, ParityShards: parityShards, Shards: dataShards + parityShards, + o: defaultOptions, } + for _, opt := range opts { + opt(&r.o) + } if dataShards <= 0 || parityShards <= 0 { return nil, ErrInvShardNum } @@ -201,7 +206,7 @@ func (r reedSolomon) Verify(shards [][]byte) (bool, error) { // number of matrix rows used, is determined by // outputCount, which is the number of outputs to compute. func (r reedSolomon) codeSomeShards(matrixRows, inputs, outputs [][]byte, outputCount, byteCount int) { - if runtime.GOMAXPROCS(0) > 1 && len(inputs[0]) > minSplitSize { + if r.o.maxGoroutines > 1 && byteCount > r.o.minSplitSize { r.codeSomeShardsP(matrixRows, inputs, outputs, outputCount, byteCount) return } @@ -209,26 +214,21 @@ func (r reedSolomon) codeSomeShards(matrixRows, inputs, outputs [][]byte, output in := inputs[c] for iRow := 0; iRow < outputCount; iRow++ { if c == 0 { - galMulSlice(matrixRows[iRow][c], in, outputs[iRow]) + galMulSlice(matrixRows[iRow][c], in, outputs[iRow], r.o.useSSSE3, r.o.useAVX2) } else { - galMulSliceXor(matrixRows[iRow][c], in, outputs[iRow]) + galMulSliceXor(matrixRows[iRow][c], in, outputs[iRow], r.o.useSSSE3, r.o.useAVX2) } } } } -const ( - minSplitSize = 512 // min split size per goroutine - maxGoroutines = 50 // max goroutines number for encoding & decoding -) - // Perform the same as codeSomeShards, but split the workload into // several goroutines. func (r reedSolomon) codeSomeShardsP(matrixRows, inputs, outputs [][]byte, outputCount, byteCount int) { var wg sync.WaitGroup - do := byteCount / maxGoroutines - if do < minSplitSize { - do = minSplitSize + do := byteCount / r.o.maxGoroutines + if do < r.o.minSplitSize { + do = r.o.minSplitSize } start := 0 for start < byteCount { @@ -241,9 +241,9 @@ func (r reedSolomon) codeSomeShardsP(matrixRows, inputs, outputs [][]byte, outpu in := inputs[c] for iRow := 0; iRow < outputCount; iRow++ { if c == 0 { - galMulSlice(matrixRows[iRow][c], in[start:stop], outputs[iRow][start:stop]) + galMulSlice(matrixRows[iRow][c], in[start:stop], outputs[iRow][start:stop], r.o.useSSSE3, r.o.useAVX2) } else { - galMulSliceXor(matrixRows[iRow][c], in[start:stop], outputs[iRow][start:stop]) + galMulSliceXor(matrixRows[iRow][c], in[start:stop], outputs[iRow][start:stop], r.o.useSSSE3, r.o.useAVX2) } } } @@ -258,13 +258,36 @@ func (r reedSolomon) codeSomeShardsP(matrixRows, inputs, outputs [][]byte, outpu // except this will check values and return // as soon as a difference is found. func (r reedSolomon) checkSomeShards(matrixRows, inputs, toCheck [][]byte, outputCount, byteCount int) bool { + if r.o.maxGoroutines > 1 && byteCount > r.o.minSplitSize { + return r.checkSomeShardsP(matrixRows, inputs, toCheck, outputCount, byteCount) + } + outputs := make([][]byte, len(toCheck)) + for i := range outputs { + outputs[i] = make([]byte, byteCount) + } + for c := 0; c < r.DataShards; c++ { + in := inputs[c] + for iRow := 0; iRow < outputCount; iRow++ { + galMulSliceXor(matrixRows[iRow][c], in, outputs[iRow], r.o.useSSSE3, r.o.useAVX2) + } + } + + for i, calc := range outputs { + if !bytes.Equal(calc, toCheck[i]) { + return false + } + } + return true +} + +func (r reedSolomon) checkSomeShardsP(matrixRows, inputs, toCheck [][]byte, outputCount, byteCount int) bool { same := true var mu sync.RWMutex // For above var wg sync.WaitGroup - do := byteCount / maxGoroutines - if do < minSplitSize { - do = minSplitSize + do := byteCount / r.o.maxGoroutines + if do < r.o.minSplitSize { + do = r.o.minSplitSize } start := 0 for start < byteCount { @@ -287,7 +310,7 @@ func (r reedSolomon) checkSomeShards(matrixRows, inputs, toCheck [][]byte, outpu mu.RUnlock() in := inputs[c][start : start+do] for iRow := 0; iRow < outputCount; iRow++ { - galMulSliceXor(matrixRows[iRow][c], in, outputs[iRow]) + galMulSliceXor(matrixRows[iRow][c], in, outputs[iRow], r.o.useSSSE3, r.o.useAVX2) } } diff --git a/vendor/github.com/klauspost/reedsolomon/reedsolomon_test.go b/vendor/github.com/klauspost/reedsolomon/reedsolomon_test.go index d9c876e51..82ac7a4cc 100644 --- a/vendor/github.com/klauspost/reedsolomon/reedsolomon_test.go +++ b/vendor/github.com/klauspost/reedsolomon/reedsolomon_test.go @@ -14,9 +14,43 @@ import ( "testing" ) +func testOpts() [][]Option { + if !testing.Short() { + return [][]Option{} + } + opts := [][]Option{ + {WithMaxGoroutines(1), WithMinSplitSize(500), withSSE3(false), withAVX2(false)}, + {WithMaxGoroutines(5000), WithMinSplitSize(50), withSSE3(false), withAVX2(false)}, + {WithMaxGoroutines(5000), WithMinSplitSize(500000), withSSE3(false), withAVX2(false)}, + {WithMaxGoroutines(1), WithMinSplitSize(500000), withSSE3(false), withAVX2(false)}, + } + for _, o := range opts[:] { + if defaultOptions.useSSSE3 { + n := make([]Option, len(o), len(o)+1) + copy(n, o) + n = append(n, withSSE3(true)) + opts = append(opts, n) + } + if defaultOptions.useAVX2 { + n := make([]Option, len(o), len(o)+1) + copy(n, o) + n = append(n, withAVX2(true)) + opts = append(opts, n) + } + } + return opts +} + func TestEncoding(t *testing.T) { + testEncoding(t) + for _, o := range testOpts() { + testEncoding(t, o...) + } +} + +func testEncoding(t *testing.T, o ...Option) { perShard := 50000 - r, err := New(10, 3) + r, err := New(10, 3, o...) if err != nil { t.Fatal(err) } @@ -56,8 +90,15 @@ func TestEncoding(t *testing.T) { } func TestReconstruct(t *testing.T) { + testReconstruct(t) + for _, o := range testOpts() { + testReconstruct(t, o...) + } +} + +func testReconstruct(t *testing.T, o ...Option) { perShard := 50000 - r, err := New(10, 3) + r, err := New(10, 3, o...) if err != nil { t.Fatal(err) } @@ -122,8 +163,15 @@ func TestReconstruct(t *testing.T) { } func TestVerify(t *testing.T) { + testVerify(t) + for _, o := range testOpts() { + testVerify(t, o...) + } +} + +func testVerify(t *testing.T, o ...Option) { perShard := 33333 - r, err := New(10, 4) + r, err := New(10, 4, o...) if err != nil { t.Fatal(err) } @@ -536,14 +584,27 @@ func BenchmarkReconstructP10x4x16M(b *testing.B) { } func TestEncoderReconstruct(t *testing.T) { + testEncoderReconstruct(t) + for _, o := range testOpts() { + testEncoderReconstruct(t, o...) + } +} + +func testEncoderReconstruct(t *testing.T, o ...Option) { // Create some sample data var data = make([]byte, 250000) fillRandom(data) // Create 5 data slices of 50000 elements each - enc, _ := New(5, 3) - shards, _ := enc.Split(data) - err := enc.Encode(shards) + enc, err := New(5, 3, o...) + if err != nil { + t.Fatal(err) + } + shards, err := enc.Split(data) + if err != nil { + t.Fatal(err) + } + err = enc.Encode(shards) if err != nil { t.Fatal(err) } diff --git a/vendor/github.com/klauspost/reedsolomon/streaming.go b/vendor/github.com/klauspost/reedsolomon/streaming.go index 293a8b129..0db01ceb2 100644 --- a/vendor/github.com/klauspost/reedsolomon/streaming.go +++ b/vendor/github.com/klauspost/reedsolomon/streaming.go @@ -145,8 +145,8 @@ type rsStream struct { // the number of data shards and parity shards that // you want to use. You can reuse this encoder. // Note that the maximum number of data shards is 256. -func NewStream(dataShards, parityShards int) (StreamEncoder, error) { - enc, err := New(dataShards, parityShards) +func NewStream(dataShards, parityShards int, o ...Option) (StreamEncoder, error) { + enc, err := New(dataShards, parityShards, o...) if err != nil { return nil, err } @@ -161,8 +161,8 @@ func NewStream(dataShards, parityShards int) (StreamEncoder, error) { // the number of data shards and parity shards given. // // This functions as 'NewStream', but allows you to enable CONCURRENT reads and writes. -func NewStreamC(dataShards, parityShards int, conReads, conWrites bool) (StreamEncoder, error) { - enc, err := New(dataShards, parityShards) +func NewStreamC(dataShards, parityShards int, conReads, conWrites bool, o ...Option) (StreamEncoder, error) { + enc, err := New(dataShards, parityShards, o...) if err != nil { return nil, err } diff --git a/vendor/github.com/xtaci/kcp-go/emitter.go b/vendor/github.com/xtaci/kcp-go/emitter.go new file mode 100644 index 000000000..8c13118d8 --- /dev/null +++ b/vendor/github.com/xtaci/kcp-go/emitter.go @@ -0,0 +1,50 @@ +package kcp + +import ( + "net" + "sync/atomic" +) + +var defaultEmitter Emitter + +const emitQueue = 8192 + +func init() { + defaultEmitter.init() +} + +type ( + emitPacket struct { + conn net.PacketConn + to net.Addr + data []byte + recycle bool + } + + // Emitter is the global packet sender + Emitter struct { + ch chan emitPacket + } +) + +func (e *Emitter) init() { + e.ch = make(chan emitPacket, emitQueue) + go e.emitTask() +} + +// keepon writing packets to kernel +func (e *Emitter) emitTask() { + for p := range e.ch { + if n, err := p.conn.WriteTo(p.data, p.to); err == nil { + atomic.AddUint64(&DefaultSnmp.OutSegs, 1) + atomic.AddUint64(&DefaultSnmp.OutBytes, uint64(n)) + } + if p.recycle { + xmitBuf.Put(p.data) + } + } +} + +func (e *Emitter) emit(p emitPacket) { + e.ch <- p +} diff --git a/vendor/github.com/xtaci/kcp-go/fec.go b/vendor/github.com/xtaci/kcp-go/fec.go index 3b5463daa..6be53e794 100644 --- a/vendor/github.com/xtaci/kcp-go/fec.go +++ b/vendor/github.com/xtaci/kcp-go/fec.go @@ -4,7 +4,7 @@ import ( "encoding/binary" "sync/atomic" - "github.com/xtaci/reedsolomon" + "github.com/klauspost/reedsolomon" ) const ( @@ -12,26 +12,29 @@ const ( fecHeaderSizePlus2 = fecHeaderSize + 2 // plus 2B data size typeData = 0xf1 typeFEC = 0xf2 - fecExpire = 30000 // 30s ) type ( // FEC defines forward error correction for packets FEC struct { - rx []fecPacket // ordered receive queue - rxlimit int // queue size limit + rxlimit int // queue size limit dataShards int parityShards int shardSize int - next uint32 // next seqid - enc reedsolomon.Encoder - shards [][]byte - shards2 [][]byte // for calcECC - shardsflag []bool - paws uint32 // Protect Against Wrapped Sequence numbers - lastCheck uint32 + next uint32 // next seqid + paws uint32 // Protect Against Wrapped Sequence numbers + rx []fecPacket // ordered receive queue + + // caches + decodeCache [][]byte + encodeCache [][]byte + shardsflag []bool + + // RS encoder + enc reedsolomon.Encoder } + // fecPacket is a decoded FEC packet fecPacket struct { seqid uint32 flag uint16 @@ -54,19 +57,19 @@ func newFEC(rxlimit, dataShards, parityShards int) *FEC { fec.parityShards = parityShards fec.shardSize = dataShards + parityShards fec.paws = (0xffffffff/uint32(fec.shardSize) - 1) * uint32(fec.shardSize) - enc, err := reedsolomon.New(dataShards, parityShards) + enc, err := reedsolomon.New(dataShards, parityShards, reedsolomon.WithMaxGoroutines(1)) if err != nil { return nil } fec.enc = enc - fec.shards = make([][]byte, fec.shardSize) - fec.shards2 = make([][]byte, fec.shardSize) + fec.decodeCache = make([][]byte, fec.shardSize) + fec.encodeCache = make([][]byte, fec.shardSize) fec.shardsflag = make([]bool, fec.shardSize) return fec } -// decode a fec packet -func (fec *FEC) decode(data []byte) fecPacket { +// decodeBytes a fec packet +func (fec *FEC) decodeBytes(data []byte) fecPacket { var pkt fecPacket pkt.seqid = binary.LittleEndian.Uint32(data) pkt.flag = binary.LittleEndian.Uint16(data[4:]) @@ -88,28 +91,11 @@ func (fec *FEC) markFEC(data []byte) { binary.LittleEndian.PutUint32(data, fec.next) binary.LittleEndian.PutUint16(data[4:], typeFEC) fec.next++ - if fec.next >= fec.paws { // paws would only occurs in markFEC - fec.next = 0 - } + fec.next %= fec.paws } -// input a fec packet -func (fec *FEC) input(pkt fecPacket) (recovered [][]byte) { - // expiration - now := currentMs() - if now-fec.lastCheck >= fecExpire { - var rx []fecPacket - for k := range fec.rx { - if now-fec.rx[k].ts < fecExpire { - rx = append(rx, fec.rx[k]) - } else { - xmitBuf.Put(fec.rx[k].data) - } - } - fec.rx = rx - fec.lastCheck = now - } - +// Decode a fec packet +func (fec *FEC) Decode(pkt fecPacket) (recovered [][]byte) { // insertion n := len(fec.rx) - 1 insertIdx := 0 @@ -117,7 +103,7 @@ func (fec *FEC) input(pkt fecPacket) (recovered [][]byte) { if pkt.seqid == fec.rx[i].seqid { // de-duplicate xmitBuf.Put(pkt.data) return nil - } else if pkt.seqid > fec.rx[i].seqid { // insertion + } else if _itimediff(pkt.seqid, fec.rx[i].seqid) > 0 { // insertion insertIdx = i + 1 break } @@ -146,23 +132,24 @@ func (fec *FEC) input(pkt fecPacket) (recovered [][]byte) { searchEnd = len(fec.rx) - 1 } + // re-construct datashards if searchEnd > searchBegin && searchEnd-searchBegin+1 >= fec.dataShards { numshard := 0 numDataShard := 0 first := -1 maxlen := 0 - shards := fec.shards + shards := fec.decodeCache shardsflag := fec.shardsflag - for k := range fec.shards { + for k := range fec.decodeCache { shards[k] = nil shardsflag[k] = false } for i := searchBegin; i <= searchEnd; i++ { seqid := fec.rx[i].seqid - if seqid > shardEnd { + if _itimediff(seqid, shardEnd) > 0 { break - } else if seqid >= shardBegin { + } else if _itimediff(seqid, shardBegin) >= 0 { shards[seqid%uint32(fec.shardSize)] = fec.rx[i].data shardsflag[seqid%uint32(fec.shardSize)] = true numshard++ @@ -226,11 +213,12 @@ func (fec *FEC) input(pkt fecPacket) (recovered [][]byte) { return } -func (fec *FEC) calcECC(data [][]byte, offset, maxlen int) (ecc [][]byte) { +// Encode a group of datashards +func (fec *FEC) Encode(data [][]byte, offset, maxlen int) (ecc [][]byte) { if len(data) != fec.shardSize { return nil } - shards := fec.shards2 + shards := fec.encodeCache for k := range shards { shards[k] = data[k][offset:maxlen] } diff --git a/vendor/github.com/xtaci/kcp-go/kcp.go b/vendor/github.com/xtaci/kcp-go/kcp.go index f53e834f1..4ad88aa24 100644 --- a/vendor/github.com/xtaci/kcp-go/kcp.go +++ b/vendor/github.com/xtaci/kcp-go/kcp.go @@ -72,17 +72,15 @@ func ikcp_decode32u(p []byte, l *uint32) []byte { func _imin_(a, b uint32) uint32 { if a <= b { return a - } else { - return b } + return b } func _imax_(a, b uint32) uint32 { if a >= b { return a - } else { - return b } + return b } func _ibound_(lower, middle, upper uint32) uint32 { @@ -102,11 +100,11 @@ type Segment struct { ts uint32 sn uint32 una uint32 + data []byte resendts uint32 rto uint32 fastack uint32 xmit uint32 - data []byte } // encode a segment into buffer @@ -127,7 +125,8 @@ type KCP struct { conv, mtu, mss, state uint32 snd_una, snd_nxt, rcv_nxt uint32 ssthresh uint32 - rx_rttval, rx_srtt, rx_rto, rx_minrto uint32 + rx_rttvar, rx_srtt int32 + rx_rto, rx_minrto uint32 snd_wnd, rcv_wnd, rmt_wnd, cwnd, probe uint32 interval, ts_flush, xmit uint32 nodelay, updated uint32 @@ -144,8 +143,9 @@ type KCP struct { acklist []ackItem - buffer []byte - output Output + buffer []byte + output Output + datashard, parityshard int } type ackItem struct { @@ -340,20 +340,24 @@ func (kcp *KCP) update_ack(rtt int32) { // https://tools.ietf.org/html/rfc6298 var rto uint32 if kcp.rx_srtt == 0 { - kcp.rx_srtt = uint32(rtt) - kcp.rx_rttval = uint32(rtt) / 2 + kcp.rx_srtt = rtt + kcp.rx_rttvar = rtt >> 1 } else { - delta := rtt - int32(kcp.rx_srtt) + delta := rtt - kcp.rx_srtt + kcp.rx_srtt += delta >> 3 if delta < 0 { delta = -delta } - kcp.rx_rttval = (3*kcp.rx_rttval + uint32(delta)) / 4 - kcp.rx_srtt = (7*kcp.rx_srtt + uint32(rtt)) / 8 - if kcp.rx_srtt < 1 { - kcp.rx_srtt = 1 + if rtt < kcp.rx_srtt-kcp.rx_rttvar { + // if the new RTT sample is below the bottom of the range of + // what an RTT measurement is expected to be. + // give an 8x reduced weight versus its normal weighting + kcp.rx_rttvar += (delta - kcp.rx_rttvar) >> 5 + } else { + kcp.rx_rttvar += (delta - kcp.rx_rttvar) >> 2 } } - rto = kcp.rx_srtt + _imax_(kcp.interval, 4*kcp.rx_rttval) + rto = uint32(kcp.rx_srtt) + _imax_(kcp.interval, uint32(kcp.rx_rttvar)<<2) kcp.rx_rto = _ibound_(kcp.rx_minrto, rto, IKCP_RTO_MAX) } @@ -395,7 +399,7 @@ func (kcp *KCP) parse_fastack(sn uint32) { seg := &kcp.snd_buf[k] if _itimediff(sn, seg.sn) < 0 { break - } else if sn != seg.sn { // && kcp.current >= seg.ts+kcp.rx_srtt { + } else if sn != seg.sn { seg.fastack++ } } @@ -472,16 +476,17 @@ func (kcp *KCP) parse_data(newseg *Segment) { } // Input when you received a low level packet (eg. UDP packet), call it -func (kcp *KCP) Input(data []byte, update_ack bool) int { +// regular indicates a regular packet has received(not from FEC) +func (kcp *KCP) Input(data []byte, regular, ackNoDelay bool) int { una := kcp.snd_una if len(data) < IKCP_OVERHEAD { return -1 } var maxack uint32 - var recentack uint32 var flag int + current := currentMs() for { var ts, sn, length, una, conv uint32 var wnd uint16 @@ -512,11 +517,18 @@ func (kcp *KCP) Input(data []byte, update_ack bool) int { return -3 } - kcp.rmt_wnd = uint32(wnd) + // only trust window updates from regular packets. i.e: latest update + if regular { + kcp.rmt_wnd = uint32(wnd) + } kcp.parse_una(una) kcp.shrink_buf() if cmd == IKCP_CMD_ACK { + if _itimediff(current, ts) >= 0 { + kcp.update_ack(_itimediff(current, ts)) + } + kcp.parse_ack(sn) kcp.shrink_buf() if flag == 0 { @@ -525,7 +537,6 @@ func (kcp *KCP) Input(data []byte, update_ack bool) int { } else if _itimediff(sn, maxack) > 0 { maxack = sn } - recentack = ts } else if cmd == IKCP_CMD_PUSH { if _itimediff(sn, kcp.rcv_nxt+kcp.rcv_wnd) < 0 { kcp.ack_push(sn, ts) @@ -559,12 +570,8 @@ func (kcp *KCP) Input(data []byte, update_ack bool) int { data = data[length:] } - current := currentMs() - if flag != 0 && update_ack { + if flag != 0 && regular { kcp.parse_fastack(maxack) - if _itimediff(current, recentack) >= 0 { - kcp.update_ack(_itimediff(current, recentack)) - } } if _itimediff(kcp.snd_una, una) > 0 { @@ -589,6 +596,11 @@ func (kcp *KCP) Input(data []byte, update_ack bool) int { } } + if ackNoDelay && len(kcp.acklist) > 0 { // ack immediately + kcp.flush(true) + } else if kcp.rmt_wnd == 0 && len(kcp.acklist) > 0 { // window zero + kcp.flush(true) + } return 0 } @@ -600,7 +612,7 @@ func (kcp *KCP) wnd_unused() int32 { } // flush pending data -func (kcp *KCP) flush() { +func (kcp *KCP) flush(ackOnly bool) { buffer := kcp.buffer change := 0 lost := false @@ -612,21 +624,42 @@ func (kcp *KCP) flush() { seg.una = kcp.rcv_nxt // flush acknowledges - ptr := buffer + var required []ackItem for i, ack := range kcp.acklist { - size := len(buffer) - len(ptr) - if size+IKCP_OVERHEAD > int(kcp.mtu) { - kcp.output(buffer, size) - ptr = buffer - } - // filter jitters caused by bufferbloat + // filter necessary acks only if ack.sn >= kcp.rcv_nxt || len(kcp.acklist)-1 == i { - seg.sn, seg.ts = ack.sn, ack.ts - ptr = seg.encode(ptr) + required = append(required, kcp.acklist[i]) } } kcp.acklist = nil + ptr := buffer + maxBatchSize := kcp.mtu / IKCP_OVERHEAD + for len(required) > 0 { + var batchSize int + if kcp.datashard > 0 && kcp.parityshard > 0 { // try triggering FEC + batchSize = int(_ibound_(1, uint32(len(required)/kcp.datashard), maxBatchSize)) + } else { + batchSize = int(_ibound_(1, uint32(len(required)), maxBatchSize)) + } + + for len(required) >= batchSize { + for i := 0; i < batchSize; i++ { + ack := required[i] + seg.sn, seg.ts = ack.sn, ack.ts + ptr = seg.encode(ptr) + } + size := len(buffer) - len(ptr) + kcp.output(buffer, size) + ptr = buffer + required = required[batchSize:] + } + } + + if ackOnly { // flush acks only + return + } + current := currentMs() // probe window size (if remote window size equals zero) if kcp.rmt_wnd == 0 { @@ -682,7 +715,7 @@ func (kcp *KCP) flush() { } // sliding window, controlled by snd_nxt && sna_una+cwnd - count := 0 + newSegsCount := 0 for k := range kcp.snd_queue { if _itimediff(kcp.snd_nxt, kcp.snd_una+cwnd) >= 0 { break @@ -690,24 +723,13 @@ func (kcp *KCP) flush() { newseg := kcp.snd_queue[k] newseg.conv = kcp.conv newseg.cmd = IKCP_CMD_PUSH - newseg.wnd = seg.wnd - newseg.ts = current newseg.sn = kcp.snd_nxt - newseg.una = kcp.rcv_nxt - newseg.resendts = newseg.ts - newseg.rto = kcp.rx_rto kcp.snd_buf = append(kcp.snd_buf, newseg) kcp.snd_nxt++ - count++ + newSegsCount++ kcp.snd_queue[k].data = nil } - kcp.snd_queue = kcp.snd_queue[count:] - - // flag pending data - hasPending := false - if count > 0 { - hasPending = true - } + kcp.snd_queue = kcp.snd_queue[newSegsCount:] // calculate resent resent := uint32(kcp.fastresend) @@ -715,18 +737,37 @@ func (kcp *KCP) flush() { resent = 0xffffffff } - // flush data segments + // counters var lostSegs, fastRetransSegs, earlyRetransSegs uint64 - for k := range kcp.snd_buf { - current := currentMs() + + // send new segments + for k := len(kcp.snd_buf) - newSegsCount; k < len(kcp.snd_buf); k++ { + segment := &kcp.snd_buf[k] + segment.xmit++ + segment.rto = kcp.rx_rto + segment.resendts = current + segment.rto + segment.ts = current + segment.wnd = seg.wnd + segment.una = kcp.rcv_nxt + + size := len(buffer) - len(ptr) + need := IKCP_OVERHEAD + len(segment.data) + + if size+need > int(kcp.mtu) { + kcp.output(buffer, size) + ptr = buffer + } + + ptr = segment.encode(ptr) + copy(ptr, segment.data) + ptr = ptr[len(segment.data):] + } + + // check for retransmissions + for k := 0; k < len(kcp.snd_buf)-newSegsCount; k++ { segment := &kcp.snd_buf[k] needsend := false - if segment.xmit == 0 { - needsend = true - segment.xmit++ - segment.rto = kcp.rx_rto - segment.resendts = current + segment.rto - } else if _itimediff(current, segment.resendts) >= 0 { + if _itimediff(current, segment.resendts) >= 0 { // RTO needsend = true segment.xmit++ kcp.xmit++ @@ -739,25 +780,21 @@ func (kcp *KCP) flush() { lost = true lostSegs++ } else if segment.fastack >= resent { // fast retransmit - lastsend := segment.resendts - segment.rto - if _itimediff(current, lastsend) >= int32(kcp.rx_rto/4) { - needsend = true - segment.xmit++ - segment.fastack = 0 - segment.resendts = current + segment.rto - change++ - fastRetransSegs++ - } - } else if segment.fastack > 0 && !hasPending { // early retransmit - lastsend := segment.resendts - segment.rto - if _itimediff(current, lastsend) >= int32(kcp.rx_rto/4) { - needsend = true - segment.xmit++ - segment.fastack = 0 - segment.resendts = current + segment.rto - change++ - earlyRetransSegs++ - } + needsend = true + segment.xmit++ + segment.fastack = 0 + segment.rto = kcp.rx_rto + segment.resendts = current + segment.rto + change++ + fastRetransSegs++ + } else if segment.fastack > 0 && newSegsCount == 0 { // early retransmit + needsend = true + segment.xmit++ + segment.fastack = 0 + segment.rto = kcp.rx_rto + segment.resendts = current + segment.rto + change++ + earlyRetransSegs++ } if needsend { @@ -783,17 +820,29 @@ func (kcp *KCP) flush() { } } - atomic.AddUint64(&DefaultSnmp.RetransSegs, lostSegs+fastRetransSegs+earlyRetransSegs) - atomic.AddUint64(&DefaultSnmp.LostSegs, lostSegs) - atomic.AddUint64(&DefaultSnmp.EarlyRetransSegs, earlyRetransSegs) - atomic.AddUint64(&DefaultSnmp.FastRetransSegs, fastRetransSegs) - // flash remain segments size := len(buffer) - len(ptr) if size > 0 { kcp.output(buffer, size) } + // counter updates + sum := lostSegs + if lostSegs > 0 { + atomic.AddUint64(&DefaultSnmp.LostSegs, lostSegs) + } + if fastRetransSegs > 0 { + atomic.AddUint64(&DefaultSnmp.FastRetransSegs, fastRetransSegs) + sum += fastRetransSegs + } + if earlyRetransSegs > 0 { + atomic.AddUint64(&DefaultSnmp.EarlyRetransSegs, earlyRetransSegs) + sum += earlyRetransSegs + } + if sum > 0 { + atomic.AddUint64(&DefaultSnmp.RetransSegs, sum) + } + // update ssthresh // rate halving, https://tools.ietf.org/html/rfc6937 if change != 0 { @@ -846,7 +895,7 @@ func (kcp *KCP) Update() { if _itimediff(current, kcp.ts_flush) >= 0 { kcp.ts_flush = current + kcp.interval } - kcp.flush() + kcp.flush(false) } } @@ -900,6 +949,12 @@ func (kcp *KCP) Check() uint32 { return current + minimal } +// set datashard,parityshard info for some optimizations +func (kcp *KCP) setFEC(datashard, parityshard int) { + kcp.datashard = datashard + kcp.parityshard = parityshard +} + // SetMtu changes MTU size, default is 1400 func (kcp *KCP) SetMtu(mtu int) int { if mtu < 50 || mtu < IKCP_OVERHEAD { @@ -962,3 +1017,12 @@ func (kcp *KCP) WndSize(sndwnd, rcvwnd int) int { func (kcp *KCP) WaitSnd() int { return len(kcp.snd_buf) + len(kcp.snd_queue) } + +// Cwnd returns current congestion window size +func (kcp *KCP) Cwnd() uint32 { + cwnd := _imin_(kcp.snd_wnd, kcp.rmt_wnd) + if kcp.nocwnd == 0 { + cwnd = _imin_(kcp.cwnd, cwnd) + } + return cwnd +} diff --git a/vendor/github.com/xtaci/kcp-go/sess.go b/vendor/github.com/xtaci/kcp-go/sess.go index 4879e2ae0..f5df379de 100644 --- a/vendor/github.com/xtaci/kcp-go/sess.go +++ b/vendor/github.com/xtaci/kcp-go/sess.go @@ -23,14 +23,13 @@ func (errTimeout) Temporary() bool { return true } func (errTimeout) Error() string { return "i/o timeout" } const ( - defaultWndSize = 128 // default window size, in packet - nonceSize = 16 // magic number - crcSize = 4 // 4bytes packet checksum - cryptHeaderSize = nonceSize + crcSize - mtuLimit = 2048 - rxQueueLimit = 8192 - rxFECMulti = 3 // FEC keeps rxFECMulti* (dataShard+parityShard) ordered packets in memory - defaultKeepAliveInterval = 10 + defaultWndSize = 128 // default window size, in packet + nonceSize = 16 // magic number + crcSize = 4 // 4bytes packet checksum + cryptHeaderSize = nonceSize + crcSize + mtuLimit = 2048 + rxQueueLimit = 8192 + rxFECMulti = 3 // FEC keeps rxFECMulti* (dataShard+parityShard) ordered packets in memory ) const ( @@ -40,6 +39,7 @@ const ( var ( xmitBuf sync.Pool + sid uint32 ) func init() { @@ -51,25 +51,36 @@ func init() { type ( // UDPSession defines a KCP session implemented by UDP UDPSession struct { - kcp *KCP // the core ARQ - l *Listener // point to server listener if it's a server socket - fec *FEC // forward error correction - conn net.PacketConn // the underlying packet socket - block BlockCrypt - remote net.Addr - rd time.Time // read deadline - wd time.Time // write deadline - sockbuff []byte // kcp receiving is based on packet, I turn it into stream - die chan struct{} - chReadEvent chan struct{} - chWriteEvent chan struct{} - chUDPOutput chan []byte - headerSize int - ackNoDelay bool - isClosed bool - keepAliveInterval int32 - mu sync.Mutex - updateInterval int32 + // core + sid uint32 + conn net.PacketConn // the underlying packet socket + kcp *KCP // the core ARQ + l *Listener // point to server listener if it's a server socket + block BlockCrypt // encryption + sockbuff []byte // kcp receiving is based on packet, I turn it into stream + + // forward error correction + fec *FEC + fecDataShards [][]byte + fecHeaderOffset int + fecPayloadOffset int + fecCnt int // count datashard + fecMaxSize int // record maximum data length in datashard + + // settings + remote net.Addr + rd time.Time // read deadline + wd time.Time // write deadline + headerSize int + updateInterval int32 + ackNoDelay bool + + // notifications + die chan struct{} + chReadEvent chan struct{} + chWriteEvent chan struct{} + isClosed bool + mu sync.Mutex } setReadBuffer interface { @@ -84,16 +95,30 @@ type ( // newUDPSession create a new udp session for client or server func newUDPSession(conv uint32, dataShards, parityShards int, l *Listener, conn net.PacketConn, remote net.Addr, block BlockCrypt) *UDPSession { sess := new(UDPSession) - sess.chUDPOutput = make(chan []byte) + sess.sid = atomic.AddUint32(&sid, 1) sess.die = make(chan struct{}) sess.chReadEvent = make(chan struct{}, 1) sess.chWriteEvent = make(chan struct{}, 1) sess.remote = remote sess.conn = conn - sess.keepAliveInterval = defaultKeepAliveInterval sess.l = l sess.block = block + + // FEC initialization sess.fec = newFEC(rxFECMulti*(dataShards+parityShards), dataShards, parityShards) + if sess.fec != nil { + if sess.block != nil { + sess.fecHeaderOffset = cryptHeaderSize + } + sess.fecPayloadOffset = sess.fecHeaderOffset + fecHeaderSize + + // fec data shards + sess.fecDataShards = make([][]byte, sess.fec.shardSize) + for k := range sess.fecDataShards { + sess.fecDataShards[k] = make([]byte, mtuLimit) + } + } + // calculate header size if sess.block != nil { sess.headerSize += cryptHeaderSize @@ -104,19 +129,14 @@ func newUDPSession(conv uint32, dataShards, parityShards int, l *Listener, conn sess.kcp = NewKCP(conv, func(buf []byte, size int) { if size >= IKCP_OVERHEAD { - ext := xmitBuf.Get().([]byte)[:sess.headerSize+size] - copy(ext[sess.headerSize:], buf) - select { - case sess.chUDPOutput <- ext: - case <-sess.die: - } + sess.output(buf[:size]) } }) sess.kcp.WndSize(defaultWndSize, defaultWndSize) sess.kcp.SetMtu(IKCP_MTU_DEF - sess.headerSize) + sess.kcp.setFEC(dataShards, parityShards) - go sess.updateTask() - go sess.outputTask() + updater.addSession(sess) if sess.l == nil { // it's a client connection go sess.readLoop() atomic.AddUint64(&DefaultSnmp.ActiveOpens, 1) @@ -207,19 +227,19 @@ func (s *UDPSession) Write(b []byte) (n int, err error) { } } - if s.kcp.WaitSnd() < int(s.kcp.snd_wnd) { + if s.kcp.WaitSnd() < int(s.kcp.Cwnd()) { n = len(b) - max := s.kcp.mss << 8 for { - if len(b) <= int(max) { // in most cases + if len(b) <= int(s.kcp.mss) { s.kcp.Send(b) break } else { - s.kcp.Send(b[:max]) - b = b[max:] + s.kcp.Send(b[:s.kcp.mss]) + b = b[s.kcp.mss:] } } - s.kcp.flush() + + s.kcp.flush(false) s.mu.Unlock() atomic.AddUint64(&DefaultSnmp.BytesSent, uint64(n)) return n, nil @@ -249,6 +269,8 @@ func (s *UDPSession) Write(b []byte) (n int, err error) { // Close closes the connection. func (s *UDPSession) Close() error { + updater.removeSession(s) + s.mu.Lock() defer s.mu.Unlock() if s.isClosed { @@ -373,151 +395,93 @@ func (s *UDPSession) SetWriteBuffer(bytes int) error { return errors.New(errInvalidOperation) } -// SetKeepAlive changes per-connection NAT keepalive interval; 0 to disable, default to 10s -func (s *UDPSession) SetKeepAlive(interval int) { - atomic.StoreInt32(&s.keepAliveInterval, int32(interval)) -} +// output pipeline entry +// steps for output data processing: +// 1. FEC +// 2. CRC32 +// 3. Encryption +// 4. emit to emitTask +// 5. emitTask WriteTo kernel +func (s *UDPSession) output(buf []byte) { + var ecc [][]byte -func (s *UDPSession) outputTask() { - // offset pre-compute - fecOffset := 0 - if s.block != nil { - fecOffset = cryptHeaderSize - } - szOffset := fecOffset + fecHeaderSize + // extend buf's header space + ext := xmitBuf.Get().([]byte)[:s.headerSize+len(buf)] + copy(ext[s.headerSize:], buf) - // fec data group - var cacheLine []byte - var fecGroup [][]byte - var fecCnt int - var fecMaxSize int + // FEC stage if s.fec != nil { - cacheLine = make([]byte, s.fec.shardSize*mtuLimit) - fecGroup = make([][]byte, s.fec.shardSize) - for k := range fecGroup { - fecGroup[k] = cacheLine[k*mtuLimit : (k+1)*mtuLimit] + s.fec.markData(ext[s.fecHeaderOffset:]) + binary.LittleEndian.PutUint16(ext[s.fecPayloadOffset:], uint16(len(ext[s.fecPayloadOffset:]))) + + // copy data to fec datashards + sz := len(ext) + s.fecDataShards[s.fecCnt] = s.fecDataShards[s.fecCnt][:sz] + copy(s.fecDataShards[s.fecCnt], ext) + s.fecCnt++ + + // record max datashard length + if sz > s.fecMaxSize { + s.fecMaxSize = sz + } + + // calculate Reed-Solomon Erasure Code + if s.fecCnt == s.fec.dataShards { + // bzero each datashard's tail + for i := 0; i < s.fec.dataShards; i++ { + shard := s.fecDataShards[i] + slen := len(shard) + xorBytes(shard[slen:s.fecMaxSize], shard[slen:s.fecMaxSize], shard[slen:s.fecMaxSize]) + } + + // calculation of RS + ecc = s.fec.Encode(s.fecDataShards, s.fecPayloadOffset, s.fecMaxSize) + for k := range ecc { + s.fec.markFEC(ecc[k][s.fecHeaderOffset:]) + ecc[k] = ecc[k][:s.fecMaxSize] + } + + // reset counters to zero + s.fecCnt = 0 + s.fecMaxSize = 0 } } - // keepalive - var lastPing time.Time - ticker := time.NewTicker(5 * time.Second) - defer ticker.Stop() + // encryption stage + if s.block != nil { + io.ReadFull(rand.Reader, ext[:nonceSize]) + checksum := crc32.ChecksumIEEE(ext[cryptHeaderSize:]) + binary.LittleEndian.PutUint32(ext[nonceSize:], checksum) + s.block.Encrypt(ext, ext) - for { - select { - // receive from a synchronous channel - // buffered channel must be avoided, because of "bufferbloat" - case ext := <-s.chUDPOutput: - var ecc [][]byte - if s.fec != nil { - s.fec.markData(ext[fecOffset:]) - // explicit size, including 2bytes size itself. - binary.LittleEndian.PutUint16(ext[szOffset:], uint16(len(ext[szOffset:]))) - - // copy data to fec group - sz := len(ext) - fecGroup[fecCnt] = fecGroup[fecCnt][:sz] - copy(fecGroup[fecCnt], ext) - fecCnt++ - if sz > fecMaxSize { - fecMaxSize = sz - } - - // calculate Reed-Solomon Erasure Code - if fecCnt == s.fec.dataShards { - for i := 0; i < s.fec.dataShards; i++ { - shard := fecGroup[i] - slen := len(shard) - xorBytes(shard[slen:fecMaxSize], shard[slen:fecMaxSize], shard[slen:fecMaxSize]) - } - ecc = s.fec.calcECC(fecGroup, szOffset, fecMaxSize) - for k := range ecc { - s.fec.markFEC(ecc[k][fecOffset:]) - ecc[k] = ecc[k][:fecMaxSize] - } - fecCnt = 0 - fecMaxSize = 0 - } + if ecc != nil { + for k := range ecc { + io.ReadFull(rand.Reader, ecc[k][:nonceSize]) + checksum := crc32.ChecksumIEEE(ecc[k][cryptHeaderSize:]) + binary.LittleEndian.PutUint32(ecc[k][nonceSize:], checksum) + s.block.Encrypt(ecc[k], ecc[k]) } + } + } - if s.block != nil { - io.ReadFull(rand.Reader, ext[:nonceSize]) - checksum := crc32.ChecksumIEEE(ext[cryptHeaderSize:]) - binary.LittleEndian.PutUint32(ext[nonceSize:], checksum) - s.block.Encrypt(ext, ext) - - if ecc != nil { - for k := range ecc { - io.ReadFull(rand.Reader, ecc[k][:nonceSize]) - checksum := crc32.ChecksumIEEE(ecc[k][cryptHeaderSize:]) - binary.LittleEndian.PutUint32(ecc[k][nonceSize:], checksum) - s.block.Encrypt(ecc[k], ecc[k]) - } - } - } - - nbytes := 0 - nsegs := 0 - // if mrand.Intn(100) < 50 { - if n, err := s.conn.WriteTo(ext, s.remote); err == nil { - nbytes += n - nsegs++ - } - // } - - if ecc != nil { - for k := range ecc { - if n, err := s.conn.WriteTo(ecc[k], s.remote); err == nil { - nbytes += n - nsegs++ - } - } - } - atomic.AddUint64(&DefaultSnmp.OutSegs, uint64(nsegs)) - atomic.AddUint64(&DefaultSnmp.OutBytes, uint64(nbytes)) - xmitBuf.Put(ext) - case <-ticker.C: // NAT keep-alive - interval := time.Duration(atomic.LoadInt32(&s.keepAliveInterval)) * time.Second - if interval > 0 && time.Now().After(lastPing.Add(interval)) { - var rnd uint16 - binary.Read(rand.Reader, binary.LittleEndian, &rnd) - sz := int(rnd)%(IKCP_MTU_DEF-s.headerSize-IKCP_OVERHEAD) + s.headerSize + IKCP_OVERHEAD - ping := make([]byte, sz) // randomized ping packet - io.ReadFull(rand.Reader, ping) - s.conn.WriteTo(ping, s.remote) - lastPing = time.Now() - } - case <-s.die: - return + // emit stage + defaultEmitter.emit(emitPacket{s.conn, s.remote, ext, true}) + if ecc != nil { + for k := range ecc { + defaultEmitter.emit(emitPacket{s.conn, s.remote, ecc[k], false}) } } } -// kcp update, input loop -func (s *UDPSession) updateTask() { - tc := time.After(time.Duration(atomic.LoadInt32(&s.updateInterval)) * time.Millisecond) - - for { - select { - case <-tc: - s.mu.Lock() - s.kcp.flush() - if s.kcp.WaitSnd() < int(s.kcp.snd_wnd) { - s.notifyWriteEvent() - } - s.mu.Unlock() - tc = time.After(time.Duration(atomic.LoadInt32(&s.updateInterval)) * time.Millisecond) - case <-s.die: - if s.l != nil { // has listener - select { - case s.l.chDeadlinks <- s.remote: - case <-s.l.die: - } - } - return - } +// kcp update, returns interval for next calling +func (s *UDPSession) update() time.Duration { + s.mu.Lock() + s.kcp.flush(false) + if s.kcp.WaitSnd() < int(s.kcp.Cwnd()) { + s.notifyWriteEvent() } + s.mu.Unlock() + return time.Duration(atomic.LoadInt32(&s.updateInterval)) * time.Millisecond } // GetConv gets conversation id of a session @@ -540,28 +504,28 @@ func (s *UDPSession) notifyWriteEvent() { } func (s *UDPSession) kcpInput(data []byte) { - var kcpInErrors, fecErrs, fecRecovered, fecSegs uint64 + var kcpInErrors, fecErrs, fecRecovered, fecParityShards uint64 if s.fec != nil { - f := s.fec.decode(data) + f := s.fec.decodeBytes(data) s.mu.Lock() if f.flag == typeData { - if ret := s.kcp.Input(data[fecHeaderSizePlus2:], true); ret != 0 { + if ret := s.kcp.Input(data[fecHeaderSizePlus2:], true, s.ackNoDelay); ret != 0 { kcpInErrors++ } } if f.flag == typeData || f.flag == typeFEC { if f.flag == typeFEC { - fecSegs++ + fecParityShards++ } - if recovers := s.fec.input(f); recovers != nil { + if recovers := s.fec.Decode(f); recovers != nil { for _, r := range recovers { if len(r) >= 2 { // must be larger than 2bytes sz := binary.LittleEndian.Uint16(r) if int(sz) <= len(r) && sz >= 2 { - if ret := s.kcp.Input(r[2:sz], false); ret == 0 { + if ret := s.kcp.Input(r[2:sz], false, s.ackNoDelay); ret == 0 { fecRecovered++ } else { kcpInErrors++ @@ -580,29 +544,23 @@ func (s *UDPSession) kcpInput(data []byte) { if n := s.kcp.PeekSize(); n > 0 { s.notifyReadEvent() } - if s.ackNoDelay { - s.kcp.flush() - } s.mu.Unlock() } else { s.mu.Lock() - if ret := s.kcp.Input(data, true); ret != 0 { + if ret := s.kcp.Input(data, true, s.ackNoDelay); ret != 0 { kcpInErrors++ } // notify reader if n := s.kcp.PeekSize(); n > 0 { s.notifyReadEvent() } - if s.ackNoDelay { - s.kcp.flush() - } s.mu.Unlock() } atomic.AddUint64(&DefaultSnmp.InSegs, 1) atomic.AddUint64(&DefaultSnmp.InBytes, uint64(len(data))) - if fecSegs > 0 { - atomic.AddUint64(&DefaultSnmp.FECSegs, fecSegs) + if fecParityShards > 0 { + atomic.AddUint64(&DefaultSnmp.FECParityShards, fecParityShards) } if kcpInErrors > 0 { atomic.AddUint64(&DefaultSnmp.KCPInErrors, kcpInErrors) diff --git a/vendor/github.com/xtaci/kcp-go/snmp.go b/vendor/github.com/xtaci/kcp-go/snmp.go index e8ab19415..baf7e32bc 100644 --- a/vendor/github.com/xtaci/kcp-go/snmp.go +++ b/vendor/github.com/xtaci/kcp-go/snmp.go @@ -27,7 +27,7 @@ type Snmp struct { RepeatSegs uint64 // number of segs duplicated FECRecovered uint64 // correct packets recovered from FEC FECErrs uint64 // incorrect packets recovered from FEC - FECSegs uint64 // FEC segments received + FECParityShards uint64 // FEC segments received FECShortShards uint64 // number of data shards that's not enough for recovery } @@ -35,6 +35,7 @@ func newSnmp() *Snmp { return new(Snmp) } +// Header returns all field names func (s *Snmp) Header() []string { return []string{ "BytesSent", @@ -55,13 +56,14 @@ func (s *Snmp) Header() []string { "EarlyRetransSegs", "LostSegs", "RepeatSegs", - "FECSegs", + "FECParityShards", "FECErrs", "FECRecovered", "FECShortShards", } } +// ToSlice returns current snmp info as slice func (s *Snmp) ToSlice() []string { snmp := s.Copy() return []string{ @@ -83,7 +85,7 @@ func (s *Snmp) ToSlice() []string { fmt.Sprint(snmp.EarlyRetransSegs), fmt.Sprint(snmp.LostSegs), fmt.Sprint(snmp.RepeatSegs), - fmt.Sprint(snmp.FECSegs), + fmt.Sprint(snmp.FECParityShards), fmt.Sprint(snmp.FECErrs), fmt.Sprint(snmp.FECRecovered), fmt.Sprint(snmp.FECShortShards), @@ -111,7 +113,7 @@ func (s *Snmp) Copy() *Snmp { d.EarlyRetransSegs = atomic.LoadUint64(&s.EarlyRetransSegs) d.LostSegs = atomic.LoadUint64(&s.LostSegs) d.RepeatSegs = atomic.LoadUint64(&s.RepeatSegs) - d.FECSegs = atomic.LoadUint64(&s.FECSegs) + d.FECParityShards = atomic.LoadUint64(&s.FECParityShards) d.FECErrs = atomic.LoadUint64(&s.FECErrs) d.FECRecovered = atomic.LoadUint64(&s.FECRecovered) d.FECShortShards = atomic.LoadUint64(&s.FECShortShards) @@ -138,7 +140,7 @@ func (s *Snmp) Reset() { atomic.StoreUint64(&s.EarlyRetransSegs, 0) atomic.StoreUint64(&s.LostSegs, 0) atomic.StoreUint64(&s.RepeatSegs, 0) - atomic.StoreUint64(&s.FECSegs, 0) + atomic.StoreUint64(&s.FECParityShards, 0) atomic.StoreUint64(&s.FECErrs, 0) atomic.StoreUint64(&s.FECRecovered, 0) atomic.StoreUint64(&s.FECShortShards, 0) diff --git a/vendor/github.com/xtaci/kcp-go/updater.go b/vendor/github.com/xtaci/kcp-go/updater.go new file mode 100644 index 000000000..2df6b9c2c --- /dev/null +++ b/vendor/github.com/xtaci/kcp-go/updater.go @@ -0,0 +1,104 @@ +package kcp + +import ( + "container/heap" + "sync" + "time" +) + +var updater updateHeap + +func init() { + updater.init() + go updater.updateTask() +} + +type entry struct { + sid uint32 + ts time.Time + s *UDPSession +} + +type updateHeap struct { + entries []entry + indices map[uint32]int + mu sync.Mutex + chWakeUp chan struct{} +} + +func (h *updateHeap) Len() int { return len(h.entries) } +func (h *updateHeap) Less(i, j int) bool { return h.entries[i].ts.Before(h.entries[j].ts) } +func (h *updateHeap) Swap(i, j int) { + h.entries[i], h.entries[j] = h.entries[j], h.entries[i] + h.indices[h.entries[i].sid] = i + h.indices[h.entries[j].sid] = j +} + +func (h *updateHeap) Push(x interface{}) { + h.entries = append(h.entries, x.(entry)) + n := len(h.entries) + h.indices[h.entries[n-1].sid] = n - 1 +} + +func (h *updateHeap) Pop() interface{} { + n := len(h.entries) + x := h.entries[n-1] + h.entries = h.entries[0 : n-1] + delete(h.indices, x.sid) + return x +} + +func (h *updateHeap) init() { + h.indices = make(map[uint32]int) + h.chWakeUp = make(chan struct{}, 1) +} + +func (h *updateHeap) addSession(s *UDPSession) { + h.mu.Lock() + heap.Push(h, entry{s.sid, time.Now(), s}) + h.mu.Unlock() + h.wakeup() +} + +func (h *updateHeap) removeSession(s *UDPSession) { + h.mu.Lock() + if idx, ok := h.indices[s.sid]; ok { + heap.Remove(h, idx) + } + h.mu.Unlock() +} + +func (h *updateHeap) wakeup() { + select { + case h.chWakeUp <- struct{}{}: + default: + } +} + +func (h *updateHeap) updateTask() { + var timer <-chan time.Time + for { + select { + case <-timer: + case <-h.chWakeUp: + } + + h.mu.Lock() + hlen := h.Len() + now := time.Now() + for i := 0; i < hlen; i++ { + entry := heap.Pop(h).(entry) + if now.After(entry.ts) { + entry.ts = now.Add(entry.s.update()) + heap.Push(h, entry) + } else { + heap.Push(h, entry) + break + } + } + if h.Len() > 0 { + timer = time.After(h.entries[0].ts.Sub(now)) + } + h.mu.Unlock() + } +} diff --git a/vendor/github.com/xtaci/kcp-go/xor.go b/vendor/github.com/xtaci/kcp-go/xor.go index 20fa2e45b..ee7133a34 100644 --- a/vendor/github.com/xtaci/kcp-go/xor.go +++ b/vendor/github.com/xtaci/kcp-go/xor.go @@ -65,14 +65,13 @@ func safeXORBytes(dst, a, b []byte) int { func xorBytes(dst, a, b []byte) int { if supportsUnaligned { return fastXORBytes(dst, a, b) - } else { - // TODO(hanwen): if (dst, a, b) have common alignment - // we could still try fastXORBytes. It is not clear - // how often this happens, and it's only worth it if - // the block encryption itself is hardware - // accelerated. - return safeXORBytes(dst, a, b) } + // TODO(hanwen): if (dst, a, b) have common alignment + // we could still try fastXORBytes. It is not clear + // how often this happens, and it's only worth it if + // the block encryption itself is hardware + // accelerated. + return safeXORBytes(dst, a, b) } // fastXORWords XORs multiples of 4 or 8 bytes (depending on architecture.) diff --git a/vendor/github.com/xtaci/reedsolomon/LICENSE b/vendor/github.com/xtaci/reedsolomon/LICENSE deleted file mode 100644 index a947e162b..000000000 --- a/vendor/github.com/xtaci/reedsolomon/LICENSE +++ /dev/null @@ -1,23 +0,0 @@ -The MIT License (MIT) - -Copyright (c) 2015 Klaus Post -Copyright (c) 2015 Backblaze - -Permission is hereby granted, free of charge, to any person obtaining a copy -of this software and associated documentation files (the "Software"), to deal -in the Software without restriction, including without limitation the rights -to use, copy, modify, merge, publish, distribute, sublicense, and/or sell -copies of the Software, and to permit persons to whom the Software is -furnished to do so, subject to the following conditions: - -The above copyright notice and this permission notice shall be included in all -copies or substantial portions of the Software. - -THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR -IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, -FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE -AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER -LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, -OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE -SOFTWARE. - diff --git a/vendor/github.com/xtaci/reedsolomon/examples/simple-decoder.go b/vendor/github.com/xtaci/reedsolomon/examples/simple-decoder.go deleted file mode 100644 index 510c5ed75..000000000 --- a/vendor/github.com/xtaci/reedsolomon/examples/simple-decoder.go +++ /dev/null @@ -1,125 +0,0 @@ -//+build ignore - -// Copyright 2015, Klaus Post, see LICENSE for details. -// -// Simple decoder example. -// -// The decoder reverses the process of "simple-encoder.go" -// -// To build an executable use: -// -// go build simple-decoder.go -// -// Simple Encoder/Decoder Shortcomings: -// * If the file size of the input isn't diviable by the number of data shards -// the output will contain extra zeroes -// -// * If the shard numbers isn't the same for the decoder as in the -// encoder, invalid output will be generated. -// -// * If values have changed in a shard, it cannot be reconstructed. -// -// * If two shards have been swapped, reconstruction will always fail. -// You need to supply the shards in the same order as they were given to you. -// -// The solution for this is to save a metadata file containing: -// -// * File size. -// * The number of data/parity shards. -// * HASH of each shard. -// * Order of the shards. -// -// If you save these properties, you should abe able to detect file corruption -// in a shard and be able to reconstruct your data if you have the needed number of shards left. - -package main - -import ( - "flag" - "fmt" - "io/ioutil" - "os" - - "github.com/klauspost/reedsolomon" -) - -var dataShards = flag.Int("data", 4, "Number of shards to split the data into") -var parShards = flag.Int("par", 2, "Number of parity shards") -var outFile = flag.String("out", "", "Alternative output path/file") - -func init() { - flag.Usage = func() { - fmt.Fprintf(os.Stderr, "Usage of %s:\n", os.Args[0]) - fmt.Fprintf(os.Stderr, " simple-decoder [-flags] basefile.ext\nDo not add the number to the filename.\n") - fmt.Fprintf(os.Stderr, "Valid flags:\n") - flag.PrintDefaults() - } -} - -func main() { - // Parse flags - flag.Parse() - args := flag.Args() - if len(args) != 1 { - fmt.Fprintf(os.Stderr, "Error: No filenames given\n") - flag.Usage() - os.Exit(1) - } - fname := args[0] - - // Create matrix - enc, err := reedsolomon.New(*dataShards, *parShards) - checkErr(err) - - // Create shards and load the data. - shards := make([][]byte, *dataShards+*parShards) - for i := range shards { - infn := fmt.Sprintf("%s.%d", fname, i) - fmt.Println("Opening", infn) - shards[i], err = ioutil.ReadFile(infn) - if err != nil { - fmt.Println("Error reading file", err) - shards[i] = nil - } - } - - // Verify the shards - ok, err := enc.Verify(shards) - if ok { - fmt.Println("No reconstruction needed") - } else { - fmt.Println("Verification failed. Reconstructing data") - err = enc.Reconstruct(shards) - if err != nil { - fmt.Println("Reconstruct failed -", err) - os.Exit(1) - } - ok, err = enc.Verify(shards) - if !ok { - fmt.Println("Verification failed after reconstruction, data likely corrupted.") - os.Exit(1) - } - checkErr(err) - } - - // Join the shards and write them - outfn := *outFile - if outfn == "" { - outfn = fname - } - - fmt.Println("Writing data to", outfn) - f, err := os.Create(outfn) - checkErr(err) - - // We don't know the exact filesize. - err = enc.Join(f, shards, len(shards[0])**dataShards) - checkErr(err) -} - -func checkErr(err error) { - if err != nil { - fmt.Fprintf(os.Stderr, "Error: %s", err.Error()) - os.Exit(2) - } -} diff --git a/vendor/github.com/xtaci/reedsolomon/examples/simple-encoder.go b/vendor/github.com/xtaci/reedsolomon/examples/simple-encoder.go deleted file mode 100644 index 89e3af9ff..000000000 --- a/vendor/github.com/xtaci/reedsolomon/examples/simple-encoder.go +++ /dev/null @@ -1,112 +0,0 @@ -//+build ignore - -// Copyright 2015, Klaus Post, see LICENSE for details. -// -// Simple encoder example -// -// The encoder encodes a simgle file into a number of shards -// To reverse the process see "simpledecoder.go" -// -// To build an executable use: -// -// go build simple-decoder.go -// -// Simple Encoder/Decoder Shortcomings: -// * If the file size of the input isn't diviable by the number of data shards -// the output will contain extra zeroes -// -// * If the shard numbers isn't the same for the decoder as in the -// encoder, invalid output will be generated. -// -// * If values have changed in a shard, it cannot be reconstructed. -// -// * If two shards have been swapped, reconstruction will always fail. -// You need to supply the shards in the same order as they were given to you. -// -// The solution for this is to save a metadata file containing: -// -// * File size. -// * The number of data/parity shards. -// * HASH of each shard. -// * Order of the shards. -// -// If you save these properties, you should abe able to detect file corruption -// in a shard and be able to reconstruct your data if you have the needed number of shards left. - -package main - -import ( - "flag" - "fmt" - "io/ioutil" - "os" - "path/filepath" - - "github.com/klauspost/reedsolomon" -) - -var dataShards = flag.Int("data", 4, "Number of shards to split the data into, must be below 257.") -var parShards = flag.Int("par", 2, "Number of parity shards") -var outDir = flag.String("out", "", "Alternative output directory") - -func init() { - flag.Usage = func() { - fmt.Fprintf(os.Stderr, "Usage of %s:\n", os.Args[0]) - fmt.Fprintf(os.Stderr, " simple-encoder [-flags] filename.ext\n\n") - fmt.Fprintf(os.Stderr, "Valid flags:\n") - flag.PrintDefaults() - } -} - -func main() { - // Parse command line parameters. - flag.Parse() - args := flag.Args() - if len(args) != 1 { - fmt.Fprintf(os.Stderr, "Error: No input filename given\n") - flag.Usage() - os.Exit(1) - } - if *dataShards > 257 { - fmt.Fprintf(os.Stderr, "Error: Too many data shards\n") - os.Exit(1) - } - fname := args[0] - - // Create encoding matrix. - enc, err := reedsolomon.New(*dataShards, *parShards) - checkErr(err) - - fmt.Println("Opening", fname) - b, err := ioutil.ReadFile(fname) - checkErr(err) - - // Split the file into equally sized shards. - shards, err := enc.Split(b) - checkErr(err) - fmt.Printf("File split into %d data+parity shards with %d bytes/shard.\n", len(shards), len(shards[0])) - - // Encode parity - err = enc.Encode(shards) - checkErr(err) - - // Write out the resulting files. - dir, file := filepath.Split(fname) - if *outDir != "" { - dir = *outDir - } - for i, shard := range shards { - outfn := fmt.Sprintf("%s.%d", file, i) - - fmt.Println("Writing to", outfn) - err = ioutil.WriteFile(filepath.Join(dir, outfn), shard, os.ModePerm) - checkErr(err) - } -} - -func checkErr(err error) { - if err != nil { - fmt.Fprintf(os.Stderr, "Error: %s", err.Error()) - os.Exit(2) - } -} diff --git a/vendor/github.com/xtaci/reedsolomon/examples/stream-decoder.go b/vendor/github.com/xtaci/reedsolomon/examples/stream-decoder.go deleted file mode 100644 index 1766018b0..000000000 --- a/vendor/github.com/xtaci/reedsolomon/examples/stream-decoder.go +++ /dev/null @@ -1,167 +0,0 @@ -//+build ignore - -// Copyright 2015, Klaus Post, see LICENSE for details. -// -// Stream decoder example. -// -// The decoder reverses the process of "stream-encoder.go" -// -// To build an executable use: -// -// go build stream-decoder.go -// -// Simple Encoder/Decoder Shortcomings: -// * If the file size of the input isn't dividable by the number of data shards -// the output will contain extra zeroes -// -// * If the shard numbers isn't the same for the decoder as in the -// encoder, invalid output will be generated. -// -// * If values have changed in a shard, it cannot be reconstructed. -// -// * If two shards have been swapped, reconstruction will always fail. -// You need to supply the shards in the same order as they were given to you. -// -// The solution for this is to save a metadata file containing: -// -// * File size. -// * The number of data/parity shards. -// * HASH of each shard. -// * Order of the shards. -// -// If you save these properties, you should abe able to detect file corruption -// in a shard and be able to reconstruct your data if you have the needed number of shards left. - -package main - -import ( - "flag" - "fmt" - "io" - "os" - "path/filepath" - - "github.com/klauspost/reedsolomon" -) - -var dataShards = flag.Int("data", 4, "Number of shards to split the data into") -var parShards = flag.Int("par", 2, "Number of parity shards") -var outFile = flag.String("out", "", "Alternative output path/file") - -func init() { - flag.Usage = func() { - fmt.Fprintf(os.Stderr, "Usage of %s:\n", os.Args[0]) - fmt.Fprintf(os.Stderr, " %s [-flags] basefile.ext\nDo not add the number to the filename.\n", os.Args[0]) - fmt.Fprintf(os.Stderr, "Valid flags:\n") - flag.PrintDefaults() - } -} - -func main() { - // Parse flags - flag.Parse() - args := flag.Args() - if len(args) != 1 { - fmt.Fprintf(os.Stderr, "Error: No filenames given\n") - flag.Usage() - os.Exit(1) - } - fname := args[0] - - // Create matrix - enc, err := reedsolomon.NewStream(*dataShards, *parShards) - checkErr(err) - - // Open the inputs - shards, size, err := openInput(*dataShards, *parShards, fname) - checkErr(err) - - // Verify the shards - ok, err := enc.Verify(shards) - if ok { - fmt.Println("No reconstruction needed") - } else { - fmt.Println("Verification failed. Reconstructing data") - shards, size, err = openInput(*dataShards, *parShards, fname) - checkErr(err) - // Create out destination writers - out := make([]io.Writer, len(shards)) - for i := range out { - if shards[i] == nil { - dir, _ := filepath.Split(fname) - outfn := fmt.Sprintf("%s.%d", fname, i) - fmt.Println("Creating", outfn) - out[i], err = os.Create(filepath.Join(dir, outfn)) - checkErr(err) - } - } - err = enc.Reconstruct(shards, out) - if err != nil { - fmt.Println("Reconstruct failed -", err) - os.Exit(1) - } - // Close output. - for i := range out { - if out[i] != nil { - err := out[i].(*os.File).Close() - checkErr(err) - } - } - shards, size, err = openInput(*dataShards, *parShards, fname) - ok, err = enc.Verify(shards) - if !ok { - fmt.Println("Verification failed after reconstruction, data likely corrupted:", err) - os.Exit(1) - } - checkErr(err) - } - - // Join the shards and write them - outfn := *outFile - if outfn == "" { - outfn = fname - } - - fmt.Println("Writing data to", outfn) - f, err := os.Create(outfn) - checkErr(err) - - shards, size, err = openInput(*dataShards, *parShards, fname) - checkErr(err) - - // We don't know the exact filesize. - err = enc.Join(f, shards, int64(*dataShards)*size) - checkErr(err) -} - -func openInput(dataShards, parShards int, fname string) (r []io.Reader, size int64, err error) { - // Create shards and load the data. - shards := make([]io.Reader, dataShards+parShards) - for i := range shards { - infn := fmt.Sprintf("%s.%d", fname, i) - fmt.Println("Opening", infn) - f, err := os.Open(infn) - if err != nil { - fmt.Println("Error reading file", err) - shards[i] = nil - continue - } else { - shards[i] = f - } - stat, err := f.Stat() - checkErr(err) - if stat.Size() > 0 { - size = stat.Size() - } else { - shards[i] = nil - } - } - return shards, size, nil -} - -func checkErr(err error) { - if err != nil { - fmt.Fprintf(os.Stderr, "Error: %s", err.Error()) - os.Exit(2) - } -} diff --git a/vendor/github.com/xtaci/reedsolomon/examples/stream-encoder.go b/vendor/github.com/xtaci/reedsolomon/examples/stream-encoder.go deleted file mode 100644 index 638fc5df2..000000000 --- a/vendor/github.com/xtaci/reedsolomon/examples/stream-encoder.go +++ /dev/null @@ -1,142 +0,0 @@ -//+build ignore - -// Copyright 2015, Klaus Post, see LICENSE for details. -// -// Simple stream encoder example -// -// The encoder encodes a single file into a number of shards -// To reverse the process see "stream-decoder.go" -// -// To build an executable use: -// -// go build stream-encoder.go -// -// Simple Encoder/Decoder Shortcomings: -// * If the file size of the input isn't dividable by the number of data shards -// the output will contain extra zeroes -// -// * If the shard numbers isn't the same for the decoder as in the -// encoder, invalid output will be generated. -// -// * If values have changed in a shard, it cannot be reconstructed. -// -// * If two shards have been swapped, reconstruction will always fail. -// You need to supply the shards in the same order as they were given to you. -// -// The solution for this is to save a metadata file containing: -// -// * File size. -// * The number of data/parity shards. -// * HASH of each shard. -// * Order of the shards. -// -// If you save these properties, you should abe able to detect file corruption -// in a shard and be able to reconstruct your data if you have the needed number of shards left. - -package main - -import ( - "flag" - "fmt" - "os" - "path/filepath" - - "io" - - "github.com/klauspost/reedsolomon" -) - -var dataShards = flag.Int("data", 4, "Number of shards to split the data into, must be below 257.") -var parShards = flag.Int("par", 2, "Number of parity shards") -var outDir = flag.String("out", "", "Alternative output directory") - -func init() { - flag.Usage = func() { - fmt.Fprintf(os.Stderr, "Usage of %s:\n", os.Args[0]) - fmt.Fprintf(os.Stderr, " %s [-flags] filename.ext\n\n", os.Args[0]) - fmt.Fprintf(os.Stderr, "Valid flags:\n") - flag.PrintDefaults() - } -} - -func main() { - // Parse command line parameters. - flag.Parse() - args := flag.Args() - if len(args) != 1 { - fmt.Fprintf(os.Stderr, "Error: No input filename given\n") - flag.Usage() - os.Exit(1) - } - if *dataShards > 257 { - fmt.Fprintf(os.Stderr, "Error: Too many data shards\n") - os.Exit(1) - } - fname := args[0] - - // Create encoding matrix. - enc, err := reedsolomon.NewStream(*dataShards, *parShards) - checkErr(err) - - fmt.Println("Opening", fname) - f, err := os.Open(fname) - checkErr(err) - - instat, err := f.Stat() - checkErr(err) - - shards := *dataShards + *parShards - out := make([]*os.File, shards) - - // Create the resulting files. - dir, file := filepath.Split(fname) - if *outDir != "" { - dir = *outDir - } - for i := range out { - outfn := fmt.Sprintf("%s.%d", file, i) - fmt.Println("Creating", outfn) - out[i], err = os.Create(filepath.Join(dir, outfn)) - checkErr(err) - } - - // Split into files. - data := make([]io.Writer, *dataShards) - for i := range data { - data[i] = out[i] - } - // Do the split - err = enc.Split(f, data, instat.Size()) - checkErr(err) - - // Close and re-open the files. - input := make([]io.Reader, *dataShards) - - for i := range data { - out[i].Close() - f, err := os.Open(out[i].Name()) - checkErr(err) - input[i] = f - defer f.Close() - } - - // Create parity output writers - parity := make([]io.Writer, *parShards) - for i := range parity { - parity[i] = out[*dataShards+i] - defer out[*dataShards+i].Close() - } - - // Encode parity - err = enc.Encode(input, parity) - checkErr(err) - fmt.Printf("File split into %d data + %d parity shards.\n", *dataShards, *parShards) - -} - -func checkErr(err error) { - if err != nil { - fmt.Fprintf(os.Stderr, "Error: %s", err.Error()) - os.Exit(2) - } -} diff --git a/vendor/github.com/xtaci/reedsolomon/galois.go b/vendor/github.com/xtaci/reedsolomon/galois.go deleted file mode 100644 index b03775c8d..000000000 --- a/vendor/github.com/xtaci/reedsolomon/galois.go +++ /dev/null @@ -1,134 +0,0 @@ -/** - * 8-bit Galois Field - * Copyright 2015, Klaus Post - * Copyright 2015, Backblaze, Inc. All rights reserved. - */ - -package reedsolomon - -const ( - // The number of elements in the field. - fieldSize = 256 - - // The polynomial used to generate the logarithm table. - // - // There are a number of polynomials that work to generate - // a Galois field of 256 elements. The choice is arbitrary, - // and we just use the first one. - // - // The possibilities are: 29, 43, 45, 77, 95, 99, 101, 105, - //* 113, 135, 141, 169, 195, 207, 231, and 245. - generatingPolynomial = 29 -) - -var logTable = [fieldSize]byte{ - 0, 0, 1, 25, 2, 50, 26, 198, - 3, 223, 51, 238, 27, 104, 199, 75, - 4, 100, 224, 14, 52, 141, 239, 129, - 28, 193, 105, 248, 200, 8, 76, 113, - 5, 138, 101, 47, 225, 36, 15, 33, - 53, 147, 142, 218, 240, 18, 130, 69, - 29, 181, 194, 125, 106, 39, 249, 185, - 201, 154, 9, 120, 77, 228, 114, 166, - 6, 191, 139, 98, 102, 221, 48, 253, - 226, 152, 37, 179, 16, 145, 34, 136, - 54, 208, 148, 206, 143, 150, 219, 189, - 241, 210, 19, 92, 131, 56, 70, 64, - 30, 66, 182, 163, 195, 72, 126, 110, - 107, 58, 40, 84, 250, 133, 186, 61, - 202, 94, 155, 159, 10, 21, 121, 43, - 78, 212, 229, 172, 115, 243, 167, 87, - 7, 112, 192, 247, 140, 128, 99, 13, - 103, 74, 222, 237, 49, 197, 254, 24, - 227, 165, 153, 119, 38, 184, 180, 124, - 17, 68, 146, 217, 35, 32, 137, 46, - 55, 63, 209, 91, 149, 188, 207, 205, - 144, 135, 151, 178, 220, 252, 190, 97, - 242, 86, 211, 171, 20, 42, 93, 158, - 132, 60, 57, 83, 71, 109, 65, 162, - 31, 45, 67, 216, 183, 123, 164, 118, - 196, 23, 73, 236, 127, 12, 111, 246, - 108, 161, 59, 82, 41, 157, 85, 170, - 251, 96, 134, 177, 187, 204, 62, 90, - 203, 89, 95, 176, 156, 169, 160, 81, - 11, 245, 22, 235, 122, 117, 44, 215, - 79, 174, 213, 233, 230, 231, 173, 232, - 116, 214, 244, 234, 168, 80, 88, 175, -} - -/** - * Inverse of the logarithm table. Maps integer logarithms - * to members of the field. There is no entry for 255 - * because the highest log is 254. - * - * This table was generated by `go run gentables.go` - */ -var expTable = []byte{0x1, 0x2, 0x4, 0x8, 0x10, 0x20, 0x40, 0x80, 0x1d, 0x3a, 0x74, 0xe8, 0xcd, 0x87, 0x13, 0x26, 0x4c, 0x98, 0x2d, 0x5a, 0xb4, 0x75, 0xea, 0xc9, 0x8f, 0x3, 0x6, 0xc, 0x18, 0x30, 0x60, 0xc0, 0x9d, 0x27, 0x4e, 0x9c, 0x25, 0x4a, 0x94, 0x35, 0x6a, 0xd4, 0xb5, 0x77, 0xee, 0xc1, 0x9f, 0x23, 0x46, 0x8c, 0x5, 0xa, 0x14, 0x28, 0x50, 0xa0, 0x5d, 0xba, 0x69, 0xd2, 0xb9, 0x6f, 0xde, 0xa1, 0x5f, 0xbe, 0x61, 0xc2, 0x99, 0x2f, 0x5e, 0xbc, 0x65, 0xca, 0x89, 0xf, 0x1e, 0x3c, 0x78, 0xf0, 0xfd, 0xe7, 0xd3, 0xbb, 0x6b, 0xd6, 0xb1, 0x7f, 0xfe, 0xe1, 0xdf, 0xa3, 0x5b, 0xb6, 0x71, 0xe2, 0xd9, 0xaf, 0x43, 0x86, 0x11, 0x22, 0x44, 0x88, 0xd, 0x1a, 0x34, 0x68, 0xd0, 0xbd, 0x67, 0xce, 0x81, 0x1f, 0x3e, 0x7c, 0xf8, 0xed, 0xc7, 0x93, 0x3b, 0x76, 0xec, 0xc5, 0x97, 0x33, 0x66, 0xcc, 0x85, 0x17, 0x2e, 0x5c, 0xb8, 0x6d, 0xda, 0xa9, 0x4f, 0x9e, 0x21, 0x42, 0x84, 0x15, 0x2a, 0x54, 0xa8, 0x4d, 0x9a, 0x29, 0x52, 0xa4, 0x55, 0xaa, 0x49, 0x92, 0x39, 0x72, 0xe4, 0xd5, 0xb7, 0x73, 0xe6, 0xd1, 0xbf, 0x63, 0xc6, 0x91, 0x3f, 0x7e, 0xfc, 0xe5, 0xd7, 0xb3, 0x7b, 0xf6, 0xf1, 0xff, 0xe3, 0xdb, 0xab, 0x4b, 0x96, 0x31, 0x62, 0xc4, 0x95, 0x37, 0x6e, 0xdc, 0xa5, 0x57, 0xae, 0x41, 0x82, 0x19, 0x32, 0x64, 0xc8, 0x8d, 0x7, 0xe, 0x1c, 0x38, 0x70, 0xe0, 0xdd, 0xa7, 0x53, 0xa6, 0x51, 0xa2, 0x59, 0xb2, 0x79, 0xf2, 0xf9, 0xef, 0xc3, 0x9b, 0x2b, 0x56, 0xac, 0x45, 0x8a, 0x9, 0x12, 0x24, 0x48, 0x90, 0x3d, 0x7a, 0xf4, 0xf5, 0xf7, 0xf3, 0xfb, 0xeb, 0xcb, 0x8b, 0xb, 0x16, 0x2c, 0x58, 0xb0, 0x7d, 0xfa, 0xe9, 0xcf, 0x83, 0x1b, 0x36, 0x6c, 0xd8, 0xad, 0x47, 0x8e, 0x1, 0x2, 0x4, 0x8, 0x10, 0x20, 0x40, 0x80, 0x1d, 0x3a, 0x74, 0xe8, 0xcd, 0x87, 0x13, 0x26, 0x4c, 0x98, 0x2d, 0x5a, 0xb4, 0x75, 0xea, 0xc9, 0x8f, 0x3, 0x6, 0xc, 0x18, 0x30, 0x60, 0xc0, 0x9d, 0x27, 0x4e, 0x9c, 0x25, 0x4a, 0x94, 0x35, 0x6a, 0xd4, 0xb5, 0x77, 0xee, 0xc1, 0x9f, 0x23, 0x46, 0x8c, 0x5, 0xa, 0x14, 0x28, 0x50, 0xa0, 0x5d, 0xba, 0x69, 0xd2, 0xb9, 0x6f, 0xde, 0xa1, 0x5f, 0xbe, 0x61, 0xc2, 0x99, 0x2f, 0x5e, 0xbc, 0x65, 0xca, 0x89, 0xf, 0x1e, 0x3c, 0x78, 0xf0, 0xfd, 0xe7, 0xd3, 0xbb, 0x6b, 0xd6, 0xb1, 0x7f, 0xfe, 0xe1, 0xdf, 0xa3, 0x5b, 0xb6, 0x71, 0xe2, 0xd9, 0xaf, 0x43, 0x86, 0x11, 0x22, 0x44, 0x88, 0xd, 0x1a, 0x34, 0x68, 0xd0, 0xbd, 0x67, 0xce, 0x81, 0x1f, 0x3e, 0x7c, 0xf8, 0xed, 0xc7, 0x93, 0x3b, 0x76, 0xec, 0xc5, 0x97, 0x33, 0x66, 0xcc, 0x85, 0x17, 0x2e, 0x5c, 0xb8, 0x6d, 0xda, 0xa9, 0x4f, 0x9e, 0x21, 0x42, 0x84, 0x15, 0x2a, 0x54, 0xa8, 0x4d, 0x9a, 0x29, 0x52, 0xa4, 0x55, 0xaa, 0x49, 0x92, 0x39, 0x72, 0xe4, 0xd5, 0xb7, 0x73, 0xe6, 0xd1, 0xbf, 0x63, 0xc6, 0x91, 0x3f, 0x7e, 0xfc, 0xe5, 0xd7, 0xb3, 0x7b, 0xf6, 0xf1, 0xff, 0xe3, 0xdb, 0xab, 0x4b, 0x96, 0x31, 0x62, 0xc4, 0x95, 0x37, 0x6e, 0xdc, 0xa5, 0x57, 0xae, 0x41, 0x82, 0x19, 0x32, 0x64, 0xc8, 0x8d, 0x7, 0xe, 0x1c, 0x38, 0x70, 0xe0, 0xdd, 0xa7, 0x53, 0xa6, 0x51, 0xa2, 0x59, 0xb2, 0x79, 0xf2, 0xf9, 0xef, 0xc3, 0x9b, 0x2b, 0x56, 0xac, 0x45, 0x8a, 0x9, 0x12, 0x24, 0x48, 0x90, 0x3d, 0x7a, 0xf4, 0xf5, 0xf7, 0xf3, 0xfb, 0xeb, 0xcb, 0x8b, 0xb, 0x16, 0x2c, 0x58, 0xb0, 0x7d, 0xfa, 0xe9, 0xcf, 0x83, 0x1b, 0x36, 0x6c, 0xd8, 0xad, 0x47, 0x8e} - -func galAdd(a, b byte) byte { - return a ^ b -} - -func galSub(a, b byte) byte { - return a ^ b -} - -var mulTable = [256][256]uint8{[256]uint8{0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0}, [256]uint8{0x0, 0x1, 0x2, 0x3, 0x4, 0x5, 0x6, 0x7, 0x8, 0x9, 0xa, 0xb, 0xc, 0xd, 0xe, 0xf, 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f, 0x20, 0x21, 0x22, 0x23, 0x24, 0x25, 0x26, 0x27, 0x28, 0x29, 0x2a, 0x2b, 0x2c, 0x2d, 0x2e, 0x2f, 0x30, 0x31, 0x32, 0x33, 0x34, 0x35, 0x36, 0x37, 0x38, 0x39, 0x3a, 0x3b, 0x3c, 0x3d, 0x3e, 0x3f, 0x40, 0x41, 0x42, 0x43, 0x44, 0x45, 0x46, 0x47, 0x48, 0x49, 0x4a, 0x4b, 0x4c, 0x4d, 0x4e, 0x4f, 0x50, 0x51, 0x52, 0x53, 0x54, 0x55, 0x56, 0x57, 0x58, 0x59, 0x5a, 0x5b, 0x5c, 0x5d, 0x5e, 0x5f, 0x60, 0x61, 0x62, 0x63, 0x64, 0x65, 0x66, 0x67, 0x68, 0x69, 0x6a, 0x6b, 0x6c, 0x6d, 0x6e, 0x6f, 0x70, 0x71, 0x72, 0x73, 0x74, 0x75, 0x76, 0x77, 0x78, 0x79, 0x7a, 0x7b, 0x7c, 0x7d, 0x7e, 0x7f, 0x80, 0x81, 0x82, 0x83, 0x84, 0x85, 0x86, 0x87, 0x88, 0x89, 0x8a, 0x8b, 0x8c, 0x8d, 0x8e, 0x8f, 0x90, 0x91, 0x92, 0x93, 0x94, 0x95, 0x96, 0x97, 0x98, 0x99, 0x9a, 0x9b, 0x9c, 0x9d, 0x9e, 0x9f, 0xa0, 0xa1, 0xa2, 0xa3, 0xa4, 0xa5, 0xa6, 0xa7, 0xa8, 0xa9, 0xaa, 0xab, 0xac, 0xad, 0xae, 0xaf, 0xb0, 0xb1, 0xb2, 0xb3, 0xb4, 0xb5, 0xb6, 0xb7, 0xb8, 0xb9, 0xba, 0xbb, 0xbc, 0xbd, 0xbe, 0xbf, 0xc0, 0xc1, 0xc2, 0xc3, 0xc4, 0xc5, 0xc6, 0xc7, 0xc8, 0xc9, 0xca, 0xcb, 0xcc, 0xcd, 0xce, 0xcf, 0xd0, 0xd1, 0xd2, 0xd3, 0xd4, 0xd5, 0xd6, 0xd7, 0xd8, 0xd9, 0xda, 0xdb, 0xdc, 0xdd, 0xde, 0xdf, 0xe0, 0xe1, 0xe2, 0xe3, 0xe4, 0xe5, 0xe6, 0xe7, 0xe8, 0xe9, 0xea, 0xeb, 0xec, 0xed, 0xee, 0xef, 0xf0, 0xf1, 0xf2, 0xf3, 0xf4, 0xf5, 0xf6, 0xf7, 0xf8, 0xf9, 0xfa, 0xfb, 0xfc, 0xfd, 0xfe, 0xff}, [256]uint8{0x0, 0x2, 0x4, 0x6, 0x8, 0xa, 0xc, 0xe, 0x10, 0x12, 0x14, 0x16, 0x18, 0x1a, 0x1c, 0x1e, 0x20, 0x22, 0x24, 0x26, 0x28, 0x2a, 0x2c, 0x2e, 0x30, 0x32, 0x34, 0x36, 0x38, 0x3a, 0x3c, 0x3e, 0x40, 0x42, 0x44, 0x46, 0x48, 0x4a, 0x4c, 0x4e, 0x50, 0x52, 0x54, 0x56, 0x58, 0x5a, 0x5c, 0x5e, 0x60, 0x62, 0x64, 0x66, 0x68, 0x6a, 0x6c, 0x6e, 0x70, 0x72, 0x74, 0x76, 0x78, 0x7a, 0x7c, 0x7e, 0x80, 0x82, 0x84, 0x86, 0x88, 0x8a, 0x8c, 0x8e, 0x90, 0x92, 0x94, 0x96, 0x98, 0x9a, 0x9c, 0x9e, 0xa0, 0xa2, 0xa4, 0xa6, 0xa8, 0xaa, 0xac, 0xae, 0xb0, 0xb2, 0xb4, 0xb6, 0xb8, 0xba, 0xbc, 0xbe, 0xc0, 0xc2, 0xc4, 0xc6, 0xc8, 0xca, 0xcc, 0xce, 0xd0, 0xd2, 0xd4, 0xd6, 0xd8, 0xda, 0xdc, 0xde, 0xe0, 0xe2, 0xe4, 0xe6, 0xe8, 0xea, 0xec, 0xee, 0xf0, 0xf2, 0xf4, 0xf6, 0xf8, 0xfa, 0xfc, 0xfe, 0x1d, 0x1f, 0x19, 0x1b, 0x15, 0x17, 0x11, 0x13, 0xd, 0xf, 0x9, 0xb, 0x5, 0x7, 0x1, 0x3, 0x3d, 0x3f, 0x39, 0x3b, 0x35, 0x37, 0x31, 0x33, 0x2d, 0x2f, 0x29, 0x2b, 0x25, 0x27, 0x21, 0x23, 0x5d, 0x5f, 0x59, 0x5b, 0x55, 0x57, 0x51, 0x53, 0x4d, 0x4f, 0x49, 0x4b, 0x45, 0x47, 0x41, 0x43, 0x7d, 0x7f, 0x79, 0x7b, 0x75, 0x77, 0x71, 0x73, 0x6d, 0x6f, 0x69, 0x6b, 0x65, 0x67, 0x61, 0x63, 0x9d, 0x9f, 0x99, 0x9b, 0x95, 0x97, 0x91, 0x93, 0x8d, 0x8f, 0x89, 0x8b, 0x85, 0x87, 0x81, 0x83, 0xbd, 0xbf, 0xb9, 0xbb, 0xb5, 0xb7, 0xb1, 0xb3, 0xad, 0xaf, 0xa9, 0xab, 0xa5, 0xa7, 0xa1, 0xa3, 0xdd, 0xdf, 0xd9, 0xdb, 0xd5, 0xd7, 0xd1, 0xd3, 0xcd, 0xcf, 0xc9, 0xcb, 0xc5, 0xc7, 0xc1, 0xc3, 0xfd, 0xff, 0xf9, 0xfb, 0xf5, 0xf7, 0xf1, 0xf3, 0xed, 0xef, 0xe9, 0xeb, 0xe5, 0xe7, 0xe1, 0xe3}, [256]uint8{0x0, 0x3, 0x6, 0x5, 0xc, 0xf, 0xa, 0x9, 0x18, 0x1b, 0x1e, 0x1d, 0x14, 0x17, 0x12, 0x11, 0x30, 0x33, 0x36, 0x35, 0x3c, 0x3f, 0x3a, 0x39, 0x28, 0x2b, 0x2e, 0x2d, 0x24, 0x27, 0x22, 0x21, 0x60, 0x63, 0x66, 0x65, 0x6c, 0x6f, 0x6a, 0x69, 0x78, 0x7b, 0x7e, 0x7d, 0x74, 0x77, 0x72, 0x71, 0x50, 0x53, 0x56, 0x55, 0x5c, 0x5f, 0x5a, 0x59, 0x48, 0x4b, 0x4e, 0x4d, 0x44, 0x47, 0x42, 0x41, 0xc0, 0xc3, 0xc6, 0xc5, 0xcc, 0xcf, 0xca, 0xc9, 0xd8, 0xdb, 0xde, 0xdd, 0xd4, 0xd7, 0xd2, 0xd1, 0xf0, 0xf3, 0xf6, 0xf5, 0xfc, 0xff, 0xfa, 0xf9, 0xe8, 0xeb, 0xee, 0xed, 0xe4, 0xe7, 0xe2, 0xe1, 0xa0, 0xa3, 0xa6, 0xa5, 0xac, 0xaf, 0xaa, 0xa9, 0xb8, 0xbb, 0xbe, 0xbd, 0xb4, 0xb7, 0xb2, 0xb1, 0x90, 0x93, 0x96, 0x95, 0x9c, 0x9f, 0x9a, 0x99, 0x88, 0x8b, 0x8e, 0x8d, 0x84, 0x87, 0x82, 0x81, 0x9d, 0x9e, 0x9b, 0x98, 0x91, 0x92, 0x97, 0x94, 0x85, 0x86, 0x83, 0x80, 0x89, 0x8a, 0x8f, 0x8c, 0xad, 0xae, 0xab, 0xa8, 0xa1, 0xa2, 0xa7, 0xa4, 0xb5, 0xb6, 0xb3, 0xb0, 0xb9, 0xba, 0xbf, 0xbc, 0xfd, 0xfe, 0xfb, 0xf8, 0xf1, 0xf2, 0xf7, 0xf4, 0xe5, 0xe6, 0xe3, 0xe0, 0xe9, 0xea, 0xef, 0xec, 0xcd, 0xce, 0xcb, 0xc8, 0xc1, 0xc2, 0xc7, 0xc4, 0xd5, 0xd6, 0xd3, 0xd0, 0xd9, 0xda, 0xdf, 0xdc, 0x5d, 0x5e, 0x5b, 0x58, 0x51, 0x52, 0x57, 0x54, 0x45, 0x46, 0x43, 0x40, 0x49, 0x4a, 0x4f, 0x4c, 0x6d, 0x6e, 0x6b, 0x68, 0x61, 0x62, 0x67, 0x64, 0x75, 0x76, 0x73, 0x70, 0x79, 0x7a, 0x7f, 0x7c, 0x3d, 0x3e, 0x3b, 0x38, 0x31, 0x32, 0x37, 0x34, 0x25, 0x26, 0x23, 0x20, 0x29, 0x2a, 0x2f, 0x2c, 0xd, 0xe, 0xb, 0x8, 0x1, 0x2, 0x7, 0x4, 0x15, 0x16, 0x13, 0x10, 0x19, 0x1a, 0x1f, 0x1c}, [256]uint8{0x0, 0x4, 0x8, 0xc, 0x10, 0x14, 0x18, 0x1c, 0x20, 0x24, 0x28, 0x2c, 0x30, 0x34, 0x38, 0x3c, 0x40, 0x44, 0x48, 0x4c, 0x50, 0x54, 0x58, 0x5c, 0x60, 0x64, 0x68, 0x6c, 0x70, 0x74, 0x78, 0x7c, 0x80, 0x84, 0x88, 0x8c, 0x90, 0x94, 0x98, 0x9c, 0xa0, 0xa4, 0xa8, 0xac, 0xb0, 0xb4, 0xb8, 0xbc, 0xc0, 0xc4, 0xc8, 0xcc, 0xd0, 0xd4, 0xd8, 0xdc, 0xe0, 0xe4, 0xe8, 0xec, 0xf0, 0xf4, 0xf8, 0xfc, 0x1d, 0x19, 0x15, 0x11, 0xd, 0x9, 0x5, 0x1, 0x3d, 0x39, 0x35, 0x31, 0x2d, 0x29, 0x25, 0x21, 0x5d, 0x59, 0x55, 0x51, 0x4d, 0x49, 0x45, 0x41, 0x7d, 0x79, 0x75, 0x71, 0x6d, 0x69, 0x65, 0x61, 0x9d, 0x99, 0x95, 0x91, 0x8d, 0x89, 0x85, 0x81, 0xbd, 0xb9, 0xb5, 0xb1, 0xad, 0xa9, 0xa5, 0xa1, 0xdd, 0xd9, 0xd5, 0xd1, 0xcd, 0xc9, 0xc5, 0xc1, 0xfd, 0xf9, 0xf5, 0xf1, 0xed, 0xe9, 0xe5, 0xe1, 0x3a, 0x3e, 0x32, 0x36, 0x2a, 0x2e, 0x22, 0x26, 0x1a, 0x1e, 0x12, 0x16, 0xa, 0xe, 0x2, 0x6, 0x7a, 0x7e, 0x72, 0x76, 0x6a, 0x6e, 0x62, 0x66, 0x5a, 0x5e, 0x52, 0x56, 0x4a, 0x4e, 0x42, 0x46, 0xba, 0xbe, 0xb2, 0xb6, 0xaa, 0xae, 0xa2, 0xa6, 0x9a, 0x9e, 0x92, 0x96, 0x8a, 0x8e, 0x82, 0x86, 0xfa, 0xfe, 0xf2, 0xf6, 0xea, 0xee, 0xe2, 0xe6, 0xda, 0xde, 0xd2, 0xd6, 0xca, 0xce, 0xc2, 0xc6, 0x27, 0x23, 0x2f, 0x2b, 0x37, 0x33, 0x3f, 0x3b, 0x7, 0x3, 0xf, 0xb, 0x17, 0x13, 0x1f, 0x1b, 0x67, 0x63, 0x6f, 0x6b, 0x77, 0x73, 0x7f, 0x7b, 0x47, 0x43, 0x4f, 0x4b, 0x57, 0x53, 0x5f, 0x5b, 0xa7, 0xa3, 0xaf, 0xab, 0xb7, 0xb3, 0xbf, 0xbb, 0x87, 0x83, 0x8f, 0x8b, 0x97, 0x93, 0x9f, 0x9b, 0xe7, 0xe3, 0xef, 0xeb, 0xf7, 0xf3, 0xff, 0xfb, 0xc7, 0xc3, 0xcf, 0xcb, 0xd7, 0xd3, 0xdf, 0xdb}, [256]uint8{0x0, 0x5, 0xa, 0xf, 0x14, 0x11, 0x1e, 0x1b, 0x28, 0x2d, 0x22, 0x27, 0x3c, 0x39, 0x36, 0x33, 0x50, 0x55, 0x5a, 0x5f, 0x44, 0x41, 0x4e, 0x4b, 0x78, 0x7d, 0x72, 0x77, 0x6c, 0x69, 0x66, 0x63, 0xa0, 0xa5, 0xaa, 0xaf, 0xb4, 0xb1, 0xbe, 0xbb, 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0x69, 0x5c, 0xd7, 0xe2, 0xbd, 0x88, 0x2f, 0x1a, 0x45, 0x70, 0xfb, 0xce, 0x91, 0xa4, 0x9a, 0xaf, 0xf0, 0xc5, 0x4e, 0x7b, 0x24, 0x11, 0x58, 0x6d, 0x32, 0x7, 0x8c, 0xb9, 0xe6, 0xd3, 0xed, 0xd8, 0x87, 0xb2, 0x39, 0xc, 0x53, 0x66, 0x9f, 0xaa, 0xf5, 0xc0, 0x4b, 0x7e, 0x21, 0x14, 0x2a, 0x1f, 0x40, 0x75, 0xfe, 0xcb, 0x94, 0xa1, 0xe8, 0xdd, 0x82, 0xb7, 0x3c, 0x9, 0x56, 0x63, 0x5d, 0x68, 0x37, 0x2, 0x89, 0xbc, 0xe3, 0xd6, 0x71, 0x44, 0x1b, 0x2e, 0xa5, 0x90, 0xcf, 0xfa, 0xc4, 0xf1, 0xae, 0x9b, 0x10, 0x25, 0x7a, 0x4f, 0x6, 0x33, 0x6c, 0x59, 0xd2, 0xe7, 0xb8, 0x8d, 0xb3, 0x86, 0xd9, 0xec, 0x67, 0x52, 0xd, 0x38, 0x5e, 0x6b, 0x34, 0x1, 0x8a, 0xbf, 0xe0, 0xd5, 0xeb, 0xde, 0x81, 0xb4, 0x3f, 0xa, 0x55, 0x60, 0x29, 0x1c, 0x43, 0x76, 0xfd, 0xc8, 0x97, 0xa2, 0x9c, 0xa9, 0xf6, 0xc3, 0x48, 0x7d, 0x22, 0x17, 0xb0, 0x85, 0xda, 0xef, 0x64, 0x51, 0xe, 0x3b, 0x5, 0x30, 0x6f, 0x5a, 0xd1, 0xe4, 0xbb, 0x8e, 0xc7, 0xf2, 0xad, 0x98, 0x13, 0x26, 0x79, 0x4c, 0x72, 0x47, 0x18, 0x2d, 0xa6, 0x93, 0xcc, 0xf9}, [256]uint8{0x0, 0x36, 0x6c, 0x5a, 0xd8, 0xee, 0xb4, 0x82, 0xad, 0x9b, 0xc1, 0xf7, 0x75, 0x43, 0x19, 0x2f, 0x47, 0x71, 0x2b, 0x1d, 0x9f, 0xa9, 0xf3, 0xc5, 0xea, 0xdc, 0x86, 0xb0, 0x32, 0x4, 0x5e, 0x68, 0x8e, 0xb8, 0xe2, 0xd4, 0x56, 0x60, 0x3a, 0xc, 0x23, 0x15, 0x4f, 0x79, 0xfb, 0xcd, 0x97, 0xa1, 0xc9, 0xff, 0xa5, 0x93, 0x11, 0x27, 0x7d, 0x4b, 0x64, 0x52, 0x8, 0x3e, 0xbc, 0x8a, 0xd0, 0xe6, 0x1, 0x37, 0x6d, 0x5b, 0xd9, 0xef, 0xb5, 0x83, 0xac, 0x9a, 0xc0, 0xf6, 0x74, 0x42, 0x18, 0x2e, 0x46, 0x70, 0x2a, 0x1c, 0x9e, 0xa8, 0xf2, 0xc4, 0xeb, 0xdd, 0x87, 0xb1, 0x33, 0x5, 0x5f, 0x69, 0x8f, 0xb9, 0xe3, 0xd5, 0x57, 0x61, 0x3b, 0xd, 0x22, 0x14, 0x4e, 0x78, 0xfa, 0xcc, 0x96, 0xa0, 0xc8, 0xfe, 0xa4, 0x92, 0x10, 0x26, 0x7c, 0x4a, 0x65, 0x53, 0x9, 0x3f, 0xbd, 0x8b, 0xd1, 0xe7, 0x2, 0x34, 0x6e, 0x58, 0xda, 0xec, 0xb6, 0x80, 0xaf, 0x99, 0xc3, 0xf5, 0x77, 0x41, 0x1b, 0x2d, 0x45, 0x73, 0x29, 0x1f, 0x9d, 0xab, 0xf1, 0xc7, 0xe8, 0xde, 0x84, 0xb2, 0x30, 0x6, 0x5c, 0x6a, 0x8c, 0xba, 0xe0, 0xd6, 0x54, 0x62, 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0x38, 0xf, 0x56, 0x61, 0x16, 0x21, 0x78, 0x4f, 0xca, 0xfd, 0xa4, 0x93, 0xb3, 0x84, 0xdd, 0xea, 0x6f, 0x58, 0x1, 0x36, 0xef, 0xd8, 0x81, 0xb6, 0x33, 0x4, 0x5d, 0x6a, 0x4a, 0x7d, 0x24, 0x13, 0x96, 0xa1, 0xf8, 0xcf, 0xb8, 0x8f, 0xd6, 0xe1, 0x64, 0x53, 0xa, 0x3d, 0x1d, 0x2a, 0x73, 0x44, 0xc1, 0xf6, 0xaf, 0x98, 0x82, 0xb5, 0xec, 0xdb, 0x5e, 0x69, 0x30, 0x7, 0x27, 0x10, 0x49, 0x7e, 0xfb, 0xcc, 0x95, 0xa2, 0xd5, 0xe2, 0xbb, 0x8c, 0x9, 0x3e, 0x67, 0x50, 0x70, 0x47, 0x1e, 0x29, 0xac, 0x9b, 0xc2, 0xf5, 0x2c, 0x1b, 0x42, 0x75, 0xf0, 0xc7, 0x9e, 0xa9, 0x89, 0xbe, 0xe7, 0xd0, 0x55, 0x62, 0x3b, 0xc, 0x7b, 0x4c, 0x15, 0x22, 0xa7, 0x90, 0xc9, 0xfe, 0xde, 0xe9, 0xb0, 0x87, 0x2, 0x35, 0x6c, 0x5b, 0xc3, 0xf4, 0xad, 0x9a, 0x1f, 0x28, 0x71, 0x46, 0x66, 0x51, 0x8, 0x3f, 0xba, 0x8d, 0xd4, 0xe3, 0x94, 0xa3, 0xfa, 0xcd, 0x48, 0x7f, 0x26, 0x11, 0x31, 0x6, 0x5f, 0x68, 0xed, 0xda, 0x83, 0xb4, 0x6d, 0x5a, 0x3, 0x34, 0xb1, 0x86, 0xdf, 0xe8, 0xc8, 0xff, 0xa6, 0x91, 0x14, 0x23, 0x7a, 0x4d, 0x3a, 0xd, 0x54, 0x63, 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0x70, 0xbc, 0xd6, 0x68, 0x2, 0x9, 0x63, 0xdd, 0xb7, 0xcb, 0xa1, 0x1f, 0x75, 0x7e, 0x14, 0xaa, 0xc0, 0x52, 0x38, 0x86, 0xec, 0xe7, 0x8d, 0x33, 0x59, 0x25, 0x4f, 0xf1, 0x9b, 0x90, 0xfa, 0x44, 0x2e, 0x7d, 0x17, 0xa9, 0xc3, 0xc8, 0xa2, 0x1c, 0x76, 0xa, 0x60, 0xde, 0xb4, 0xbf, 0xd5, 0x6b, 0x1, 0x93, 0xf9, 0x47, 0x2d, 0x26, 0x4c, 0xf2, 0x98, 0xe4, 0x8e, 0x30, 0x5a, 0x51, 0x3b, 0x85, 0xef}, [256]uint8{0x0, 0x6b, 0xd6, 0xbd, 0xb1, 0xda, 0x67, 0xc, 0x7f, 0x14, 0xa9, 0xc2, 0xce, 0xa5, 0x18, 0x73, 0xfe, 0x95, 0x28, 0x43, 0x4f, 0x24, 0x99, 0xf2, 0x81, 0xea, 0x57, 0x3c, 0x30, 0x5b, 0xe6, 0x8d, 0xe1, 0x8a, 0x37, 0x5c, 0x50, 0x3b, 0x86, 0xed, 0x9e, 0xf5, 0x48, 0x23, 0x2f, 0x44, 0xf9, 0x92, 0x1f, 0x74, 0xc9, 0xa2, 0xae, 0xc5, 0x78, 0x13, 0x60, 0xb, 0xb6, 0xdd, 0xd1, 0xba, 0x7, 0x6c, 0xdf, 0xb4, 0x9, 0x62, 0x6e, 0x5, 0xb8, 0xd3, 0xa0, 0xcb, 0x76, 0x1d, 0x11, 0x7a, 0xc7, 0xac, 0x21, 0x4a, 0xf7, 0x9c, 0x90, 0xfb, 0x46, 0x2d, 0x5e, 0x35, 0x88, 0xe3, 0xef, 0x84, 0x39, 0x52, 0x3e, 0x55, 0xe8, 0x83, 0x8f, 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0xb2, 0xd9, 0xb, 0xf, 0xdd, 0xb6, 0x64, 0x1f, 0xcd, 0xa6, 0x74, 0x70, 0xa2, 0xc9, 0x1b, 0xc1, 0x13, 0x78, 0xaa, 0xae, 0x7c, 0x17, 0xc5, 0xe1, 0x33, 0x58, 0x8a, 0x8e, 0x5c, 0x37, 0xe5, 0x3f, 0xed, 0x86, 0x54, 0x50, 0x82, 0xe9, 0x3b, 0x40, 0x92, 0xf9, 0x2b, 0x2f, 0xfd, 0x96, 0x44, 0x9e, 0x4c, 0x27, 0xf5, 0xf1, 0x23, 0x48, 0x9a, 0x61, 0xb3, 0xd8, 0xa, 0xe, 0xdc, 0xb7, 0x65, 0xbf, 0x6d, 0x6, 0xd4, 0xd0, 0x2, 0x69, 0xbb, 0xc0, 0x12, 0x79, 0xab, 0xaf, 0x7d, 0x16, 0xc4, 0x1e, 0xcc, 0xa7, 0x75, 0x71, 0xa3, 0xc8, 0x1a, 0x3e, 0xec, 0x87, 0x55, 0x51, 0x83, 0xe8, 0x3a, 0xe0, 0x32, 0x59, 0x8b, 0x8f, 0x5d, 0x36, 0xe4, 0x9f, 0x4d, 0x26, 0xf4, 0xf0, 0x22, 0x49, 0x9b, 0x41, 0x93, 0xf8, 0x2a, 0x2e, 0xfc, 0x97, 0x45, 0xdf, 0xd, 0x66, 0xb4, 0xb0, 0x62, 0x9, 0xdb, 0x1, 0xd3, 0xb8, 0x6a, 0x6e, 0xbc, 0xd7, 0x5, 0x7e, 0xac, 0xc7, 0x15, 0x11, 0xc3, 0xa8, 0x7a, 0xa0, 0x72, 0x19, 0xcb, 0xcf, 0x1d, 0x76, 0xa4, 0x80, 0x52, 0x39, 0xeb, 0xef, 0x3d, 0x56, 0x84, 0x5e, 0x8c, 0xe7, 0x35, 0x31, 0xe3, 0x88, 0x5a, 0x21, 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0x13, 0xcf, 0x35, 0x26, 0xdc, 0x83, 0x79, 0x6a, 0x90, 0x4c, 0xb6, 0xa5, 0x5f, 0x1b, 0xe1, 0xf2, 0x8, 0xd4, 0x2e, 0x3d, 0xc7, 0x98, 0x62, 0x71, 0x8b, 0x57, 0xad, 0xbe, 0x44, 0x36, 0xcc, 0xdf, 0x25, 0xf9, 0x3, 0x10, 0xea, 0xb5, 0x4f, 0x5c, 0xa6, 0x7a, 0x80, 0x93, 0x69, 0x2d, 0xd7, 0xc4, 0x3e, 0xe2, 0x18, 0xb, 0xf1, 0xae, 0x54, 0x47, 0xbd, 0x61, 0x9b, 0x88, 0x72, 0x6c, 0x96, 0x85, 0x7f, 0xa3, 0x59, 0x4a, 0xb0, 0xef, 0x15, 0x6, 0xfc, 0x20, 0xda, 0xc9, 0x33, 0x77, 0x8d, 0x9e, 0x64, 0xb8, 0x42, 0x51, 0xab, 0xf4, 0xe, 0x1d, 0xe7, 0x3b, 0xc1, 0xd2, 0x28, 0x5a, 0xa0, 0xb3, 0x49, 0x95, 0x6f, 0x7c, 0x86, 0xd9, 0x23, 0x30, 0xca, 0x16, 0xec, 0xff, 0x5, 0x41, 0xbb, 0xa8, 0x52, 0x8e, 0x74, 0x67, 0x9d, 0xc2, 0x38, 0x2b, 0xd1, 0xd, 0xf7, 0xe4, 0x1e, 0xd8, 0x22, 0x31, 0xcb, 0x17, 0xed, 0xfe, 0x4, 0x5b, 0xa1, 0xb2, 0x48, 0x94, 0x6e, 0x7d, 0x87, 0xc3, 0x39, 0x2a, 0xd0, 0xc, 0xf6, 0xe5, 0x1f, 0x40, 0xba, 0xa9, 0x53, 0x8f, 0x75, 0x66, 0x9c, 0xee, 0x14, 0x7, 0xfd, 0x21, 0xdb, 0xc8, 0x32, 0x6d, 0x97, 0x84, 0x7e, 0xa2, 0x58, 0x4b, 0xb1, 0xf5, 0xf, 0x1c, 0xe6, 0x3a, 0xc0, 0xd3, 0x29, 0x76, 0x8c, 0x9f, 0x65, 0xb9, 0x43, 0x50, 0xaa, 0xb4, 0x4e, 0x5d, 0xa7, 0x7b, 0x81, 0x92, 0x68, 0x37, 0xcd, 0xde, 0x24, 0xf8, 0x2, 0x11, 0xeb, 0xaf, 0x55, 0x46, 0xbc, 0x60, 0x9a, 0x89, 0x73, 0x2c, 0xd6, 0xc5, 0x3f, 0xe3, 0x19, 0xa, 0xf0, 0x82, 0x78, 0x6b, 0x91, 0x4d, 0xb7, 0xa4, 0x5e, 0x1, 0xfb, 0xe8, 0x12, 0xce, 0x34, 0x27, 0xdd, 0x99, 0x63, 0x70, 0x8a, 0x56, 0xac, 0xbf, 0x45, 0x1a, 0xe0, 0xf3, 0x9, 0xd5, 0x2f, 0x3c, 0xc6}, [256]uint8{0x0, 0xfb, 0xeb, 0x10, 0xcb, 0x30, 0x20, 0xdb, 0x8b, 0x70, 0x60, 0x9b, 0x40, 0xbb, 0xab, 0x50, 0xb, 0xf0, 0xe0, 0x1b, 0xc0, 0x3b, 0x2b, 0xd0, 0x80, 0x7b, 0x6b, 0x90, 0x4b, 0xb0, 0xa0, 0x5b, 0x16, 0xed, 0xfd, 0x6, 0xdd, 0x26, 0x36, 0xcd, 0x9d, 0x66, 0x76, 0x8d, 0x56, 0xad, 0xbd, 0x46, 0x1d, 0xe6, 0xf6, 0xd, 0xd6, 0x2d, 0x3d, 0xc6, 0x96, 0x6d, 0x7d, 0x86, 0x5d, 0xa6, 0xb6, 0x4d, 0x2c, 0xd7, 0xc7, 0x3c, 0xe7, 0x1c, 0xc, 0xf7, 0xa7, 0x5c, 0x4c, 0xb7, 0x6c, 0x97, 0x87, 0x7c, 0x27, 0xdc, 0xcc, 0x37, 0xec, 0x17, 0x7, 0xfc, 0xac, 0x57, 0x47, 0xbc, 0x67, 0x9c, 0x8c, 0x77, 0x3a, 0xc1, 0xd1, 0x2a, 0xf1, 0xa, 0x1a, 0xe1, 0xb1, 0x4a, 0x5a, 0xa1, 0x7a, 0x81, 0x91, 0x6a, 0x31, 0xca, 0xda, 0x21, 0xfa, 0x1, 0x11, 0xea, 0xba, 0x41, 0x51, 0xaa, 0x71, 0x8a, 0x9a, 0x61, 0x58, 0xa3, 0xb3, 0x48, 0x93, 0x68, 0x78, 0x83, 0xd3, 0x28, 0x38, 0xc3, 0x18, 0xe3, 0xf3, 0x8, 0x53, 0xa8, 0xb8, 0x43, 0x98, 0x63, 0x73, 0x88, 0xd8, 0x23, 0x33, 0xc8, 0x13, 0xe8, 0xf8, 0x3, 0x4e, 0xb5, 0xa5, 0x5e, 0x85, 0x7e, 0x6e, 0x95, 0xc5, 0x3e, 0x2e, 0xd5, 0xe, 0xf5, 0xe5, 0x1e, 0x45, 0xbe, 0xae, 0x55, 0x8e, 0x75, 0x65, 0x9e, 0xce, 0x35, 0x25, 0xde, 0x5, 0xfe, 0xee, 0x15, 0x74, 0x8f, 0x9f, 0x64, 0xbf, 0x44, 0x54, 0xaf, 0xff, 0x4, 0x14, 0xef, 0x34, 0xcf, 0xdf, 0x24, 0x7f, 0x84, 0x94, 0x6f, 0xb4, 0x4f, 0x5f, 0xa4, 0xf4, 0xf, 0x1f, 0xe4, 0x3f, 0xc4, 0xd4, 0x2f, 0x62, 0x99, 0x89, 0x72, 0xa9, 0x52, 0x42, 0xb9, 0xe9, 0x12, 0x2, 0xf9, 0x22, 0xd9, 0xc9, 0x32, 0x69, 0x92, 0x82, 0x79, 0xa2, 0x59, 0x49, 0xb2, 0xe2, 0x19, 0x9, 0xf2, 0x29, 0xd2, 0xc2, 0x39}, [256]uint8{0x0, 0xfc, 0xe5, 0x19, 0xd7, 0x2b, 0x32, 0xce, 0xb3, 0x4f, 0x56, 0xaa, 0x64, 0x98, 0x81, 0x7d, 0x7b, 0x87, 0x9e, 0x62, 0xac, 0x50, 0x49, 0xb5, 0xc8, 0x34, 0x2d, 0xd1, 0x1f, 0xe3, 0xfa, 0x6, 0xf6, 0xa, 0x13, 0xef, 0x21, 0xdd, 0xc4, 0x38, 0x45, 0xb9, 0xa0, 0x5c, 0x92, 0x6e, 0x77, 0x8b, 0x8d, 0x71, 0x68, 0x94, 0x5a, 0xa6, 0xbf, 0x43, 0x3e, 0xc2, 0xdb, 0x27, 0xe9, 0x15, 0xc, 0xf0, 0xf1, 0xd, 0x14, 0xe8, 0x26, 0xda, 0xc3, 0x3f, 0x42, 0xbe, 0xa7, 0x5b, 0x95, 0x69, 0x70, 0x8c, 0x8a, 0x76, 0x6f, 0x93, 0x5d, 0xa1, 0xb8, 0x44, 0x39, 0xc5, 0xdc, 0x20, 0xee, 0x12, 0xb, 0xf7, 0x7, 0xfb, 0xe2, 0x1e, 0xd0, 0x2c, 0x35, 0xc9, 0xb4, 0x48, 0x51, 0xad, 0x63, 0x9f, 0x86, 0x7a, 0x7c, 0x80, 0x99, 0x65, 0xab, 0x57, 0x4e, 0xb2, 0xcf, 0x33, 0x2a, 0xd6, 0x18, 0xe4, 0xfd, 0x1, 0xff, 0x3, 0x1a, 0xe6, 0x28, 0xd4, 0xcd, 0x31, 0x4c, 0xb0, 0xa9, 0x55, 0x9b, 0x67, 0x7e, 0x82, 0x84, 0x78, 0x61, 0x9d, 0x53, 0xaf, 0xb6, 0x4a, 0x37, 0xcb, 0xd2, 0x2e, 0xe0, 0x1c, 0x5, 0xf9, 0x9, 0xf5, 0xec, 0x10, 0xde, 0x22, 0x3b, 0xc7, 0xba, 0x46, 0x5f, 0xa3, 0x6d, 0x91, 0x88, 0x74, 0x72, 0x8e, 0x97, 0x6b, 0xa5, 0x59, 0x40, 0xbc, 0xc1, 0x3d, 0x24, 0xd8, 0x16, 0xea, 0xf3, 0xf, 0xe, 0xf2, 0xeb, 0x17, 0xd9, 0x25, 0x3c, 0xc0, 0xbd, 0x41, 0x58, 0xa4, 0x6a, 0x96, 0x8f, 0x73, 0x75, 0x89, 0x90, 0x6c, 0xa2, 0x5e, 0x47, 0xbb, 0xc6, 0x3a, 0x23, 0xdf, 0x11, 0xed, 0xf4, 0x8, 0xf8, 0x4, 0x1d, 0xe1, 0x2f, 0xd3, 0xca, 0x36, 0x4b, 0xb7, 0xae, 0x52, 0x9c, 0x60, 0x79, 0x85, 0x83, 0x7f, 0x66, 0x9a, 0x54, 0xa8, 0xb1, 0x4d, 0x30, 0xcc, 0xd5, 0x29, 0xe7, 0x1b, 0x2, 0xfe}, [256]uint8{0x0, 0xfd, 0xe7, 0x1a, 0xd3, 0x2e, 0x34, 0xc9, 0xbb, 0x46, 0x5c, 0xa1, 0x68, 0x95, 0x8f, 0x72, 0x6b, 0x96, 0x8c, 0x71, 0xb8, 0x45, 0x5f, 0xa2, 0xd0, 0x2d, 0x37, 0xca, 0x3, 0xfe, 0xe4, 0x19, 0xd6, 0x2b, 0x31, 0xcc, 0x5, 0xf8, 0xe2, 0x1f, 0x6d, 0x90, 0x8a, 0x77, 0xbe, 0x43, 0x59, 0xa4, 0xbd, 0x40, 0x5a, 0xa7, 0x6e, 0x93, 0x89, 0x74, 0x6, 0xfb, 0xe1, 0x1c, 0xd5, 0x28, 0x32, 0xcf, 0xb1, 0x4c, 0x56, 0xab, 0x62, 0x9f, 0x85, 0x78, 0xa, 0xf7, 0xed, 0x10, 0xd9, 0x24, 0x3e, 0xc3, 0xda, 0x27, 0x3d, 0xc0, 0x9, 0xf4, 0xee, 0x13, 0x61, 0x9c, 0x86, 0x7b, 0xb2, 0x4f, 0x55, 0xa8, 0x67, 0x9a, 0x80, 0x7d, 0xb4, 0x49, 0x53, 0xae, 0xdc, 0x21, 0x3b, 0xc6, 0xf, 0xf2, 0xe8, 0x15, 0xc, 0xf1, 0xeb, 0x16, 0xdf, 0x22, 0x38, 0xc5, 0xb7, 0x4a, 0x50, 0xad, 0x64, 0x99, 0x83, 0x7e, 0x7f, 0x82, 0x98, 0x65, 0xac, 0x51, 0x4b, 0xb6, 0xc4, 0x39, 0x23, 0xde, 0x17, 0xea, 0xf0, 0xd, 0x14, 0xe9, 0xf3, 0xe, 0xc7, 0x3a, 0x20, 0xdd, 0xaf, 0x52, 0x48, 0xb5, 0x7c, 0x81, 0x9b, 0x66, 0xa9, 0x54, 0x4e, 0xb3, 0x7a, 0x87, 0x9d, 0x60, 0x12, 0xef, 0xf5, 0x8, 0xc1, 0x3c, 0x26, 0xdb, 0xc2, 0x3f, 0x25, 0xd8, 0x11, 0xec, 0xf6, 0xb, 0x79, 0x84, 0x9e, 0x63, 0xaa, 0x57, 0x4d, 0xb0, 0xce, 0x33, 0x29, 0xd4, 0x1d, 0xe0, 0xfa, 0x7, 0x75, 0x88, 0x92, 0x6f, 0xa6, 0x5b, 0x41, 0xbc, 0xa5, 0x58, 0x42, 0xbf, 0x76, 0x8b, 0x91, 0x6c, 0x1e, 0xe3, 0xf9, 0x4, 0xcd, 0x30, 0x2a, 0xd7, 0x18, 0xe5, 0xff, 0x2, 0xcb, 0x36, 0x2c, 0xd1, 0xa3, 0x5e, 0x44, 0xb9, 0x70, 0x8d, 0x97, 0x6a, 0x73, 0x8e, 0x94, 0x69, 0xa0, 0x5d, 0x47, 0xba, 0xc8, 0x35, 0x2f, 0xd2, 0x1b, 0xe6, 0xfc, 0x1}, [256]uint8{0x0, 0xfe, 0xe1, 0x1f, 0xdf, 0x21, 0x3e, 0xc0, 0xa3, 0x5d, 0x42, 0xbc, 0x7c, 0x82, 0x9d, 0x63, 0x5b, 0xa5, 0xba, 0x44, 0x84, 0x7a, 0x65, 0x9b, 0xf8, 0x6, 0x19, 0xe7, 0x27, 0xd9, 0xc6, 0x38, 0xb6, 0x48, 0x57, 0xa9, 0x69, 0x97, 0x88, 0x76, 0x15, 0xeb, 0xf4, 0xa, 0xca, 0x34, 0x2b, 0xd5, 0xed, 0x13, 0xc, 0xf2, 0x32, 0xcc, 0xd3, 0x2d, 0x4e, 0xb0, 0xaf, 0x51, 0x91, 0x6f, 0x70, 0x8e, 0x71, 0x8f, 0x90, 0x6e, 0xae, 0x50, 0x4f, 0xb1, 0xd2, 0x2c, 0x33, 0xcd, 0xd, 0xf3, 0xec, 0x12, 0x2a, 0xd4, 0xcb, 0x35, 0xf5, 0xb, 0x14, 0xea, 0x89, 0x77, 0x68, 0x96, 0x56, 0xa8, 0xb7, 0x49, 0xc7, 0x39, 0x26, 0xd8, 0x18, 0xe6, 0xf9, 0x7, 0x64, 0x9a, 0x85, 0x7b, 0xbb, 0x45, 0x5a, 0xa4, 0x9c, 0x62, 0x7d, 0x83, 0x43, 0xbd, 0xa2, 0x5c, 0x3f, 0xc1, 0xde, 0x20, 0xe0, 0x1e, 0x1, 0xff, 0xe2, 0x1c, 0x3, 0xfd, 0x3d, 0xc3, 0xdc, 0x22, 0x41, 0xbf, 0xa0, 0x5e, 0x9e, 0x60, 0x7f, 0x81, 0xb9, 0x47, 0x58, 0xa6, 0x66, 0x98, 0x87, 0x79, 0x1a, 0xe4, 0xfb, 0x5, 0xc5, 0x3b, 0x24, 0xda, 0x54, 0xaa, 0xb5, 0x4b, 0x8b, 0x75, 0x6a, 0x94, 0xf7, 0x9, 0x16, 0xe8, 0x28, 0xd6, 0xc9, 0x37, 0xf, 0xf1, 0xee, 0x10, 0xd0, 0x2e, 0x31, 0xcf, 0xac, 0x52, 0x4d, 0xb3, 0x73, 0x8d, 0x92, 0x6c, 0x93, 0x6d, 0x72, 0x8c, 0x4c, 0xb2, 0xad, 0x53, 0x30, 0xce, 0xd1, 0x2f, 0xef, 0x11, 0xe, 0xf0, 0xc8, 0x36, 0x29, 0xd7, 0x17, 0xe9, 0xf6, 0x8, 0x6b, 0x95, 0x8a, 0x74, 0xb4, 0x4a, 0x55, 0xab, 0x25, 0xdb, 0xc4, 0x3a, 0xfa, 0x4, 0x1b, 0xe5, 0x86, 0x78, 0x67, 0x99, 0x59, 0xa7, 0xb8, 0x46, 0x7e, 0x80, 0x9f, 0x61, 0xa1, 0x5f, 0x40, 0xbe, 0xdd, 0x23, 0x3c, 0xc2, 0x2, 0xfc, 0xe3, 0x1d}, [256]uint8{0x0, 0xff, 0xe3, 0x1c, 0xdb, 0x24, 0x38, 0xc7, 0xab, 0x54, 0x48, 0xb7, 0x70, 0x8f, 0x93, 0x6c, 0x4b, 0xb4, 0xa8, 0x57, 0x90, 0x6f, 0x73, 0x8c, 0xe0, 0x1f, 0x3, 0xfc, 0x3b, 0xc4, 0xd8, 0x27, 0x96, 0x69, 0x75, 0x8a, 0x4d, 0xb2, 0xae, 0x51, 0x3d, 0xc2, 0xde, 0x21, 0xe6, 0x19, 0x5, 0xfa, 0xdd, 0x22, 0x3e, 0xc1, 0x6, 0xf9, 0xe5, 0x1a, 0x76, 0x89, 0x95, 0x6a, 0xad, 0x52, 0x4e, 0xb1, 0x31, 0xce, 0xd2, 0x2d, 0xea, 0x15, 0x9, 0xf6, 0x9a, 0x65, 0x79, 0x86, 0x41, 0xbe, 0xa2, 0x5d, 0x7a, 0x85, 0x99, 0x66, 0xa1, 0x5e, 0x42, 0xbd, 0xd1, 0x2e, 0x32, 0xcd, 0xa, 0xf5, 0xe9, 0x16, 0xa7, 0x58, 0x44, 0xbb, 0x7c, 0x83, 0x9f, 0x60, 0xc, 0xf3, 0xef, 0x10, 0xd7, 0x28, 0x34, 0xcb, 0xec, 0x13, 0xf, 0xf0, 0x37, 0xc8, 0xd4, 0x2b, 0x47, 0xb8, 0xa4, 0x5b, 0x9c, 0x63, 0x7f, 0x80, 0x62, 0x9d, 0x81, 0x7e, 0xb9, 0x46, 0x5a, 0xa5, 0xc9, 0x36, 0x2a, 0xd5, 0x12, 0xed, 0xf1, 0xe, 0x29, 0xd6, 0xca, 0x35, 0xf2, 0xd, 0x11, 0xee, 0x82, 0x7d, 0x61, 0x9e, 0x59, 0xa6, 0xba, 0x45, 0xf4, 0xb, 0x17, 0xe8, 0x2f, 0xd0, 0xcc, 0x33, 0x5f, 0xa0, 0xbc, 0x43, 0x84, 0x7b, 0x67, 0x98, 0xbf, 0x40, 0x5c, 0xa3, 0x64, 0x9b, 0x87, 0x78, 0x14, 0xeb, 0xf7, 0x8, 0xcf, 0x30, 0x2c, 0xd3, 0x53, 0xac, 0xb0, 0x4f, 0x88, 0x77, 0x6b, 0x94, 0xf8, 0x7, 0x1b, 0xe4, 0x23, 0xdc, 0xc0, 0x3f, 0x18, 0xe7, 0xfb, 0x4, 0xc3, 0x3c, 0x20, 0xdf, 0xb3, 0x4c, 0x50, 0xaf, 0x68, 0x97, 0x8b, 0x74, 0xc5, 0x3a, 0x26, 0xd9, 0x1e, 0xe1, 0xfd, 0x2, 0x6e, 0x91, 0x8d, 0x72, 0xb5, 0x4a, 0x56, 0xa9, 0x8e, 0x71, 0x6d, 0x92, 0x55, 0xaa, 0xb6, 0x49, 0x25, 0xda, 0xc6, 0x39, 0xfe, 0x1, 0x1d, 0xe2}} - -var mulTableLow = [256][16]uint8{[16]uint8{0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0}, [16]uint8{0x0, 0x1, 0x2, 0x3, 0x4, 0x5, 0x6, 0x7, 0x8, 0x9, 0xa, 0xb, 0xc, 0xd, 0xe, 0xf}, [16]uint8{0x0, 0x2, 0x4, 0x6, 0x8, 0xa, 0xc, 0xe, 0x10, 0x12, 0x14, 0x16, 0x18, 0x1a, 0x1c, 0x1e}, [16]uint8{0x0, 0x3, 0x6, 0x5, 0xc, 0xf, 0xa, 0x9, 0x18, 0x1b, 0x1e, 0x1d, 0x14, 0x17, 0x12, 0x11}, [16]uint8{0x0, 0x4, 0x8, 0xc, 0x10, 0x14, 0x18, 0x1c, 0x20, 0x24, 0x28, 0x2c, 0x30, 0x34, 0x38, 0x3c}, [16]uint8{0x0, 0x5, 0xa, 0xf, 0x14, 0x11, 0x1e, 0x1b, 0x28, 0x2d, 0x22, 0x27, 0x3c, 0x39, 0x36, 0x33}, [16]uint8{0x0, 0x6, 0xc, 0xa, 0x18, 0x1e, 0x14, 0x12, 0x30, 0x36, 0x3c, 0x3a, 0x28, 0x2e, 0x24, 0x22}, [16]uint8{0x0, 0x7, 0xe, 0x9, 0x1c, 0x1b, 0x12, 0x15, 0x38, 0x3f, 0x36, 0x31, 0x24, 0x23, 0x2a, 0x2d}, [16]uint8{0x0, 0x8, 0x10, 0x18, 0x20, 0x28, 0x30, 0x38, 0x40, 0x48, 0x50, 0x58, 0x60, 0x68, 0x70, 0x78}, [16]uint8{0x0, 0x9, 0x12, 0x1b, 0x24, 0x2d, 0x36, 0x3f, 0x48, 0x41, 0x5a, 0x53, 0x6c, 0x65, 0x7e, 0x77}, [16]uint8{0x0, 0xa, 0x14, 0x1e, 0x28, 0x22, 0x3c, 0x36, 0x50, 0x5a, 0x44, 0x4e, 0x78, 0x72, 0x6c, 0x66}, [16]uint8{0x0, 0xb, 0x16, 0x1d, 0x2c, 0x27, 0x3a, 0x31, 0x58, 0x53, 0x4e, 0x45, 0x74, 0x7f, 0x62, 0x69}, [16]uint8{0x0, 0xc, 0x18, 0x14, 0x30, 0x3c, 0x28, 0x24, 0x60, 0x6c, 0x78, 0x74, 0x50, 0x5c, 0x48, 0x44}, [16]uint8{0x0, 0xd, 0x1a, 0x17, 0x34, 0x39, 0x2e, 0x23, 0x68, 0x65, 0x72, 0x7f, 0x5c, 0x51, 0x46, 0x4b}, [16]uint8{0x0, 0xe, 0x1c, 0x12, 0x38, 0x36, 0x24, 0x2a, 0x70, 0x7e, 0x6c, 0x62, 0x48, 0x46, 0x54, 0x5a}, [16]uint8{0x0, 0xf, 0x1e, 0x11, 0x3c, 0x33, 0x22, 0x2d, 0x78, 0x77, 0x66, 0x69, 0x44, 0x4b, 0x5a, 0x55}, [16]uint8{0x0, 0x10, 0x20, 0x30, 0x40, 0x50, 0x60, 0x70, 0x80, 0x90, 0xa0, 0xb0, 0xc0, 0xd0, 0xe0, 0xf0}, [16]uint8{0x0, 0x11, 0x22, 0x33, 0x44, 0x55, 0x66, 0x77, 0x88, 0x99, 0xaa, 0xbb, 0xcc, 0xdd, 0xee, 0xff}, [16]uint8{0x0, 0x12, 0x24, 0x36, 0x48, 0x5a, 0x6c, 0x7e, 0x90, 0x82, 0xb4, 0xa6, 0xd8, 0xca, 0xfc, 0xee}, [16]uint8{0x0, 0x13, 0x26, 0x35, 0x4c, 0x5f, 0x6a, 0x79, 0x98, 0x8b, 0xbe, 0xad, 0xd4, 0xc7, 0xf2, 0xe1}, [16]uint8{0x0, 0x14, 0x28, 0x3c, 0x50, 0x44, 0x78, 0x6c, 0xa0, 0xb4, 0x88, 0x9c, 0xf0, 0xe4, 0xd8, 0xcc}, [16]uint8{0x0, 0x15, 0x2a, 0x3f, 0x54, 0x41, 0x7e, 0x6b, 0xa8, 0xbd, 0x82, 0x97, 0xfc, 0xe9, 0xd6, 0xc3}, [16]uint8{0x0, 0x16, 0x2c, 0x3a, 0x58, 0x4e, 0x74, 0x62, 0xb0, 0xa6, 0x9c, 0x8a, 0xe8, 0xfe, 0xc4, 0xd2}, [16]uint8{0x0, 0x17, 0x2e, 0x39, 0x5c, 0x4b, 0x72, 0x65, 0xb8, 0xaf, 0x96, 0x81, 0xe4, 0xf3, 0xca, 0xdd}, [16]uint8{0x0, 0x18, 0x30, 0x28, 0x60, 0x78, 0x50, 0x48, 0xc0, 0xd8, 0xf0, 0xe8, 0xa0, 0xb8, 0x90, 0x88}, [16]uint8{0x0, 0x19, 0x32, 0x2b, 0x64, 0x7d, 0x56, 0x4f, 0xc8, 0xd1, 0xfa, 0xe3, 0xac, 0xb5, 0x9e, 0x87}, [16]uint8{0x0, 0x1a, 0x34, 0x2e, 0x68, 0x72, 0x5c, 0x46, 0xd0, 0xca, 0xe4, 0xfe, 0xb8, 0xa2, 0x8c, 0x96}, [16]uint8{0x0, 0x1b, 0x36, 0x2d, 0x6c, 0x77, 0x5a, 0x41, 0xd8, 0xc3, 0xee, 0xf5, 0xb4, 0xaf, 0x82, 0x99}, [16]uint8{0x0, 0x1c, 0x38, 0x24, 0x70, 0x6c, 0x48, 0x54, 0xe0, 0xfc, 0xd8, 0xc4, 0x90, 0x8c, 0xa8, 0xb4}, [16]uint8{0x0, 0x1d, 0x3a, 0x27, 0x74, 0x69, 0x4e, 0x53, 0xe8, 0xf5, 0xd2, 0xcf, 0x9c, 0x81, 0xa6, 0xbb}, [16]uint8{0x0, 0x1e, 0x3c, 0x22, 0x78, 0x66, 0x44, 0x5a, 0xf0, 0xee, 0xcc, 0xd2, 0x88, 0x96, 0xb4, 0xaa}, [16]uint8{0x0, 0x1f, 0x3e, 0x21, 0x7c, 0x63, 0x42, 0x5d, 0xf8, 0xe7, 0xc6, 0xd9, 0x84, 0x9b, 0xba, 0xa5}, [16]uint8{0x0, 0x20, 0x40, 0x60, 0x80, 0xa0, 0xc0, 0xe0, 0x1d, 0x3d, 0x5d, 0x7d, 0x9d, 0xbd, 0xdd, 0xfd}, [16]uint8{0x0, 0x21, 0x42, 0x63, 0x84, 0xa5, 0xc6, 0xe7, 0x15, 0x34, 0x57, 0x76, 0x91, 0xb0, 0xd3, 0xf2}, [16]uint8{0x0, 0x22, 0x44, 0x66, 0x88, 0xaa, 0xcc, 0xee, 0xd, 0x2f, 0x49, 0x6b, 0x85, 0xa7, 0xc1, 0xe3}, [16]uint8{0x0, 0x23, 0x46, 0x65, 0x8c, 0xaf, 0xca, 0xe9, 0x5, 0x26, 0x43, 0x60, 0x89, 0xaa, 0xcf, 0xec}, [16]uint8{0x0, 0x24, 0x48, 0x6c, 0x90, 0xb4, 0xd8, 0xfc, 0x3d, 0x19, 0x75, 0x51, 0xad, 0x89, 0xe5, 0xc1}, [16]uint8{0x0, 0x25, 0x4a, 0x6f, 0x94, 0xb1, 0xde, 0xfb, 0x35, 0x10, 0x7f, 0x5a, 0xa1, 0x84, 0xeb, 0xce}, [16]uint8{0x0, 0x26, 0x4c, 0x6a, 0x98, 0xbe, 0xd4, 0xf2, 0x2d, 0xb, 0x61, 0x47, 0xb5, 0x93, 0xf9, 0xdf}, [16]uint8{0x0, 0x27, 0x4e, 0x69, 0x9c, 0xbb, 0xd2, 0xf5, 0x25, 0x2, 0x6b, 0x4c, 0xb9, 0x9e, 0xf7, 0xd0}, [16]uint8{0x0, 0x28, 0x50, 0x78, 0xa0, 0x88, 0xf0, 0xd8, 0x5d, 0x75, 0xd, 0x25, 0xfd, 0xd5, 0xad, 0x85}, [16]uint8{0x0, 0x29, 0x52, 0x7b, 0xa4, 0x8d, 0xf6, 0xdf, 0x55, 0x7c, 0x7, 0x2e, 0xf1, 0xd8, 0xa3, 0x8a}, [16]uint8{0x0, 0x2a, 0x54, 0x7e, 0xa8, 0x82, 0xfc, 0xd6, 0x4d, 0x67, 0x19, 0x33, 0xe5, 0xcf, 0xb1, 0x9b}, [16]uint8{0x0, 0x2b, 0x56, 0x7d, 0xac, 0x87, 0xfa, 0xd1, 0x45, 0x6e, 0x13, 0x38, 0xe9, 0xc2, 0xbf, 0x94}, [16]uint8{0x0, 0x2c, 0x58, 0x74, 0xb0, 0x9c, 0xe8, 0xc4, 0x7d, 0x51, 0x25, 0x9, 0xcd, 0xe1, 0x95, 0xb9}, [16]uint8{0x0, 0x2d, 0x5a, 0x77, 0xb4, 0x99, 0xee, 0xc3, 0x75, 0x58, 0x2f, 0x2, 0xc1, 0xec, 0x9b, 0xb6}, [16]uint8{0x0, 0x2e, 0x5c, 0x72, 0xb8, 0x96, 0xe4, 0xca, 0x6d, 0x43, 0x31, 0x1f, 0xd5, 0xfb, 0x89, 0xa7}, [16]uint8{0x0, 0x2f, 0x5e, 0x71, 0xbc, 0x93, 0xe2, 0xcd, 0x65, 0x4a, 0x3b, 0x14, 0xd9, 0xf6, 0x87, 0xa8}, [16]uint8{0x0, 0x30, 0x60, 0x50, 0xc0, 0xf0, 0xa0, 0x90, 0x9d, 0xad, 0xfd, 0xcd, 0x5d, 0x6d, 0x3d, 0xd}, [16]uint8{0x0, 0x31, 0x62, 0x53, 0xc4, 0xf5, 0xa6, 0x97, 0x95, 0xa4, 0xf7, 0xc6, 0x51, 0x60, 0x33, 0x2}, [16]uint8{0x0, 0x32, 0x64, 0x56, 0xc8, 0xfa, 0xac, 0x9e, 0x8d, 0xbf, 0xe9, 0xdb, 0x45, 0x77, 0x21, 0x13}, [16]uint8{0x0, 0x33, 0x66, 0x55, 0xcc, 0xff, 0xaa, 0x99, 0x85, 0xb6, 0xe3, 0xd0, 0x49, 0x7a, 0x2f, 0x1c}, [16]uint8{0x0, 0x34, 0x68, 0x5c, 0xd0, 0xe4, 0xb8, 0x8c, 0xbd, 0x89, 0xd5, 0xe1, 0x6d, 0x59, 0x5, 0x31}, [16]uint8{0x0, 0x35, 0x6a, 0x5f, 0xd4, 0xe1, 0xbe, 0x8b, 0xb5, 0x80, 0xdf, 0xea, 0x61, 0x54, 0xb, 0x3e}, [16]uint8{0x0, 0x36, 0x6c, 0x5a, 0xd8, 0xee, 0xb4, 0x82, 0xad, 0x9b, 0xc1, 0xf7, 0x75, 0x43, 0x19, 0x2f}, [16]uint8{0x0, 0x37, 0x6e, 0x59, 0xdc, 0xeb, 0xb2, 0x85, 0xa5, 0x92, 0xcb, 0xfc, 0x79, 0x4e, 0x17, 0x20}, [16]uint8{0x0, 0x38, 0x70, 0x48, 0xe0, 0xd8, 0x90, 0xa8, 0xdd, 0xe5, 0xad, 0x95, 0x3d, 0x5, 0x4d, 0x75}, [16]uint8{0x0, 0x39, 0x72, 0x4b, 0xe4, 0xdd, 0x96, 0xaf, 0xd5, 0xec, 0xa7, 0x9e, 0x31, 0x8, 0x43, 0x7a}, [16]uint8{0x0, 0x3a, 0x74, 0x4e, 0xe8, 0xd2, 0x9c, 0xa6, 0xcd, 0xf7, 0xb9, 0x83, 0x25, 0x1f, 0x51, 0x6b}, [16]uint8{0x0, 0x3b, 0x76, 0x4d, 0xec, 0xd7, 0x9a, 0xa1, 0xc5, 0xfe, 0xb3, 0x88, 0x29, 0x12, 0x5f, 0x64}, [16]uint8{0x0, 0x3c, 0x78, 0x44, 0xf0, 0xcc, 0x88, 0xb4, 0xfd, 0xc1, 0x85, 0xb9, 0xd, 0x31, 0x75, 0x49}, [16]uint8{0x0, 0x3d, 0x7a, 0x47, 0xf4, 0xc9, 0x8e, 0xb3, 0xf5, 0xc8, 0x8f, 0xb2, 0x1, 0x3c, 0x7b, 0x46}, [16]uint8{0x0, 0x3e, 0x7c, 0x42, 0xf8, 0xc6, 0x84, 0xba, 0xed, 0xd3, 0x91, 0xaf, 0x15, 0x2b, 0x69, 0x57}, [16]uint8{0x0, 0x3f, 0x7e, 0x41, 0xfc, 0xc3, 0x82, 0xbd, 0xe5, 0xda, 0x9b, 0xa4, 0x19, 0x26, 0x67, 0x58}, [16]uint8{0x0, 0x40, 0x80, 0xc0, 0x1d, 0x5d, 0x9d, 0xdd, 0x3a, 0x7a, 0xba, 0xfa, 0x27, 0x67, 0xa7, 0xe7}, [16]uint8{0x0, 0x41, 0x82, 0xc3, 0x19, 0x58, 0x9b, 0xda, 0x32, 0x73, 0xb0, 0xf1, 0x2b, 0x6a, 0xa9, 0xe8}, [16]uint8{0x0, 0x42, 0x84, 0xc6, 0x15, 0x57, 0x91, 0xd3, 0x2a, 0x68, 0xae, 0xec, 0x3f, 0x7d, 0xbb, 0xf9}, [16]uint8{0x0, 0x43, 0x86, 0xc5, 0x11, 0x52, 0x97, 0xd4, 0x22, 0x61, 0xa4, 0xe7, 0x33, 0x70, 0xb5, 0xf6}, [16]uint8{0x0, 0x44, 0x88, 0xcc, 0xd, 0x49, 0x85, 0xc1, 0x1a, 0x5e, 0x92, 0xd6, 0x17, 0x53, 0x9f, 0xdb}, [16]uint8{0x0, 0x45, 0x8a, 0xcf, 0x9, 0x4c, 0x83, 0xc6, 0x12, 0x57, 0x98, 0xdd, 0x1b, 0x5e, 0x91, 0xd4}, [16]uint8{0x0, 0x46, 0x8c, 0xca, 0x5, 0x43, 0x89, 0xcf, 0xa, 0x4c, 0x86, 0xc0, 0xf, 0x49, 0x83, 0xc5}, [16]uint8{0x0, 0x47, 0x8e, 0xc9, 0x1, 0x46, 0x8f, 0xc8, 0x2, 0x45, 0x8c, 0xcb, 0x3, 0x44, 0x8d, 0xca}, [16]uint8{0x0, 0x48, 0x90, 0xd8, 0x3d, 0x75, 0xad, 0xe5, 0x7a, 0x32, 0xea, 0xa2, 0x47, 0xf, 0xd7, 0x9f}, [16]uint8{0x0, 0x49, 0x92, 0xdb, 0x39, 0x70, 0xab, 0xe2, 0x72, 0x3b, 0xe0, 0xa9, 0x4b, 0x2, 0xd9, 0x90}, [16]uint8{0x0, 0x4a, 0x94, 0xde, 0x35, 0x7f, 0xa1, 0xeb, 0x6a, 0x20, 0xfe, 0xb4, 0x5f, 0x15, 0xcb, 0x81}, [16]uint8{0x0, 0x4b, 0x96, 0xdd, 0x31, 0x7a, 0xa7, 0xec, 0x62, 0x29, 0xf4, 0xbf, 0x53, 0x18, 0xc5, 0x8e}, [16]uint8{0x0, 0x4c, 0x98, 0xd4, 0x2d, 0x61, 0xb5, 0xf9, 0x5a, 0x16, 0xc2, 0x8e, 0x77, 0x3b, 0xef, 0xa3}, [16]uint8{0x0, 0x4d, 0x9a, 0xd7, 0x29, 0x64, 0xb3, 0xfe, 0x52, 0x1f, 0xc8, 0x85, 0x7b, 0x36, 0xe1, 0xac}, [16]uint8{0x0, 0x4e, 0x9c, 0xd2, 0x25, 0x6b, 0xb9, 0xf7, 0x4a, 0x4, 0xd6, 0x98, 0x6f, 0x21, 0xf3, 0xbd}, [16]uint8{0x0, 0x4f, 0x9e, 0xd1, 0x21, 0x6e, 0xbf, 0xf0, 0x42, 0xd, 0xdc, 0x93, 0x63, 0x2c, 0xfd, 0xb2}, [16]uint8{0x0, 0x50, 0xa0, 0xf0, 0x5d, 0xd, 0xfd, 0xad, 0xba, 0xea, 0x1a, 0x4a, 0xe7, 0xb7, 0x47, 0x17}, [16]uint8{0x0, 0x51, 0xa2, 0xf3, 0x59, 0x8, 0xfb, 0xaa, 0xb2, 0xe3, 0x10, 0x41, 0xeb, 0xba, 0x49, 0x18}, [16]uint8{0x0, 0x52, 0xa4, 0xf6, 0x55, 0x7, 0xf1, 0xa3, 0xaa, 0xf8, 0xe, 0x5c, 0xff, 0xad, 0x5b, 0x9}, [16]uint8{0x0, 0x53, 0xa6, 0xf5, 0x51, 0x2, 0xf7, 0xa4, 0xa2, 0xf1, 0x4, 0x57, 0xf3, 0xa0, 0x55, 0x6}, [16]uint8{0x0, 0x54, 0xa8, 0xfc, 0x4d, 0x19, 0xe5, 0xb1, 0x9a, 0xce, 0x32, 0x66, 0xd7, 0x83, 0x7f, 0x2b}, [16]uint8{0x0, 0x55, 0xaa, 0xff, 0x49, 0x1c, 0xe3, 0xb6, 0x92, 0xc7, 0x38, 0x6d, 0xdb, 0x8e, 0x71, 0x24}, [16]uint8{0x0, 0x56, 0xac, 0xfa, 0x45, 0x13, 0xe9, 0xbf, 0x8a, 0xdc, 0x26, 0x70, 0xcf, 0x99, 0x63, 0x35}, [16]uint8{0x0, 0x57, 0xae, 0xf9, 0x41, 0x16, 0xef, 0xb8, 0x82, 0xd5, 0x2c, 0x7b, 0xc3, 0x94, 0x6d, 0x3a}, [16]uint8{0x0, 0x58, 0xb0, 0xe8, 0x7d, 0x25, 0xcd, 0x95, 0xfa, 0xa2, 0x4a, 0x12, 0x87, 0xdf, 0x37, 0x6f}, [16]uint8{0x0, 0x59, 0xb2, 0xeb, 0x79, 0x20, 0xcb, 0x92, 0xf2, 0xab, 0x40, 0x19, 0x8b, 0xd2, 0x39, 0x60}, [16]uint8{0x0, 0x5a, 0xb4, 0xee, 0x75, 0x2f, 0xc1, 0x9b, 0xea, 0xb0, 0x5e, 0x4, 0x9f, 0xc5, 0x2b, 0x71}, [16]uint8{0x0, 0x5b, 0xb6, 0xed, 0x71, 0x2a, 0xc7, 0x9c, 0xe2, 0xb9, 0x54, 0xf, 0x93, 0xc8, 0x25, 0x7e}, [16]uint8{0x0, 0x5c, 0xb8, 0xe4, 0x6d, 0x31, 0xd5, 0x89, 0xda, 0x86, 0x62, 0x3e, 0xb7, 0xeb, 0xf, 0x53}, [16]uint8{0x0, 0x5d, 0xba, 0xe7, 0x69, 0x34, 0xd3, 0x8e, 0xd2, 0x8f, 0x68, 0x35, 0xbb, 0xe6, 0x1, 0x5c}, [16]uint8{0x0, 0x5e, 0xbc, 0xe2, 0x65, 0x3b, 0xd9, 0x87, 0xca, 0x94, 0x76, 0x28, 0xaf, 0xf1, 0x13, 0x4d}, [16]uint8{0x0, 0x5f, 0xbe, 0xe1, 0x61, 0x3e, 0xdf, 0x80, 0xc2, 0x9d, 0x7c, 0x23, 0xa3, 0xfc, 0x1d, 0x42}, [16]uint8{0x0, 0x60, 0xc0, 0xa0, 0x9d, 0xfd, 0x5d, 0x3d, 0x27, 0x47, 0xe7, 0x87, 0xba, 0xda, 0x7a, 0x1a}, [16]uint8{0x0, 0x61, 0xc2, 0xa3, 0x99, 0xf8, 0x5b, 0x3a, 0x2f, 0x4e, 0xed, 0x8c, 0xb6, 0xd7, 0x74, 0x15}, [16]uint8{0x0, 0x62, 0xc4, 0xa6, 0x95, 0xf7, 0x51, 0x33, 0x37, 0x55, 0xf3, 0x91, 0xa2, 0xc0, 0x66, 0x4}, [16]uint8{0x0, 0x63, 0xc6, 0xa5, 0x91, 0xf2, 0x57, 0x34, 0x3f, 0x5c, 0xf9, 0x9a, 0xae, 0xcd, 0x68, 0xb}, [16]uint8{0x0, 0x64, 0xc8, 0xac, 0x8d, 0xe9, 0x45, 0x21, 0x7, 0x63, 0xcf, 0xab, 0x8a, 0xee, 0x42, 0x26}, [16]uint8{0x0, 0x65, 0xca, 0xaf, 0x89, 0xec, 0x43, 0x26, 0xf, 0x6a, 0xc5, 0xa0, 0x86, 0xe3, 0x4c, 0x29}, [16]uint8{0x0, 0x66, 0xcc, 0xaa, 0x85, 0xe3, 0x49, 0x2f, 0x17, 0x71, 0xdb, 0xbd, 0x92, 0xf4, 0x5e, 0x38}, [16]uint8{0x0, 0x67, 0xce, 0xa9, 0x81, 0xe6, 0x4f, 0x28, 0x1f, 0x78, 0xd1, 0xb6, 0x9e, 0xf9, 0x50, 0x37}, [16]uint8{0x0, 0x68, 0xd0, 0xb8, 0xbd, 0xd5, 0x6d, 0x5, 0x67, 0xf, 0xb7, 0xdf, 0xda, 0xb2, 0xa, 0x62}, [16]uint8{0x0, 0x69, 0xd2, 0xbb, 0xb9, 0xd0, 0x6b, 0x2, 0x6f, 0x6, 0xbd, 0xd4, 0xd6, 0xbf, 0x4, 0x6d}, [16]uint8{0x0, 0x6a, 0xd4, 0xbe, 0xb5, 0xdf, 0x61, 0xb, 0x77, 0x1d, 0xa3, 0xc9, 0xc2, 0xa8, 0x16, 0x7c}, [16]uint8{0x0, 0x6b, 0xd6, 0xbd, 0xb1, 0xda, 0x67, 0xc, 0x7f, 0x14, 0xa9, 0xc2, 0xce, 0xa5, 0x18, 0x73}, [16]uint8{0x0, 0x6c, 0xd8, 0xb4, 0xad, 0xc1, 0x75, 0x19, 0x47, 0x2b, 0x9f, 0xf3, 0xea, 0x86, 0x32, 0x5e}, [16]uint8{0x0, 0x6d, 0xda, 0xb7, 0xa9, 0xc4, 0x73, 0x1e, 0x4f, 0x22, 0x95, 0xf8, 0xe6, 0x8b, 0x3c, 0x51}, [16]uint8{0x0, 0x6e, 0xdc, 0xb2, 0xa5, 0xcb, 0x79, 0x17, 0x57, 0x39, 0x8b, 0xe5, 0xf2, 0x9c, 0x2e, 0x40}, [16]uint8{0x0, 0x6f, 0xde, 0xb1, 0xa1, 0xce, 0x7f, 0x10, 0x5f, 0x30, 0x81, 0xee, 0xfe, 0x91, 0x20, 0x4f}, [16]uint8{0x0, 0x70, 0xe0, 0x90, 0xdd, 0xad, 0x3d, 0x4d, 0xa7, 0xd7, 0x47, 0x37, 0x7a, 0xa, 0x9a, 0xea}, [16]uint8{0x0, 0x71, 0xe2, 0x93, 0xd9, 0xa8, 0x3b, 0x4a, 0xaf, 0xde, 0x4d, 0x3c, 0x76, 0x7, 0x94, 0xe5}, [16]uint8{0x0, 0x72, 0xe4, 0x96, 0xd5, 0xa7, 0x31, 0x43, 0xb7, 0xc5, 0x53, 0x21, 0x62, 0x10, 0x86, 0xf4}, [16]uint8{0x0, 0x73, 0xe6, 0x95, 0xd1, 0xa2, 0x37, 0x44, 0xbf, 0xcc, 0x59, 0x2a, 0x6e, 0x1d, 0x88, 0xfb}, [16]uint8{0x0, 0x74, 0xe8, 0x9c, 0xcd, 0xb9, 0x25, 0x51, 0x87, 0xf3, 0x6f, 0x1b, 0x4a, 0x3e, 0xa2, 0xd6}, [16]uint8{0x0, 0x75, 0xea, 0x9f, 0xc9, 0xbc, 0x23, 0x56, 0x8f, 0xfa, 0x65, 0x10, 0x46, 0x33, 0xac, 0xd9}, [16]uint8{0x0, 0x76, 0xec, 0x9a, 0xc5, 0xb3, 0x29, 0x5f, 0x97, 0xe1, 0x7b, 0xd, 0x52, 0x24, 0xbe, 0xc8}, [16]uint8{0x0, 0x77, 0xee, 0x99, 0xc1, 0xb6, 0x2f, 0x58, 0x9f, 0xe8, 0x71, 0x6, 0x5e, 0x29, 0xb0, 0xc7}, [16]uint8{0x0, 0x78, 0xf0, 0x88, 0xfd, 0x85, 0xd, 0x75, 0xe7, 0x9f, 0x17, 0x6f, 0x1a, 0x62, 0xea, 0x92}, [16]uint8{0x0, 0x79, 0xf2, 0x8b, 0xf9, 0x80, 0xb, 0x72, 0xef, 0x96, 0x1d, 0x64, 0x16, 0x6f, 0xe4, 0x9d}, [16]uint8{0x0, 0x7a, 0xf4, 0x8e, 0xf5, 0x8f, 0x1, 0x7b, 0xf7, 0x8d, 0x3, 0x79, 0x2, 0x78, 0xf6, 0x8c}, [16]uint8{0x0, 0x7b, 0xf6, 0x8d, 0xf1, 0x8a, 0x7, 0x7c, 0xff, 0x84, 0x9, 0x72, 0xe, 0x75, 0xf8, 0x83}, [16]uint8{0x0, 0x7c, 0xf8, 0x84, 0xed, 0x91, 0x15, 0x69, 0xc7, 0xbb, 0x3f, 0x43, 0x2a, 0x56, 0xd2, 0xae}, [16]uint8{0x0, 0x7d, 0xfa, 0x87, 0xe9, 0x94, 0x13, 0x6e, 0xcf, 0xb2, 0x35, 0x48, 0x26, 0x5b, 0xdc, 0xa1}, [16]uint8{0x0, 0x7e, 0xfc, 0x82, 0xe5, 0x9b, 0x19, 0x67, 0xd7, 0xa9, 0x2b, 0x55, 0x32, 0x4c, 0xce, 0xb0}, [16]uint8{0x0, 0x7f, 0xfe, 0x81, 0xe1, 0x9e, 0x1f, 0x60, 0xdf, 0xa0, 0x21, 0x5e, 0x3e, 0x41, 0xc0, 0xbf}, [16]uint8{0x0, 0x80, 0x1d, 0x9d, 0x3a, 0xba, 0x27, 0xa7, 0x74, 0xf4, 0x69, 0xe9, 0x4e, 0xce, 0x53, 0xd3}, [16]uint8{0x0, 0x81, 0x1f, 0x9e, 0x3e, 0xbf, 0x21, 0xa0, 0x7c, 0xfd, 0x63, 0xe2, 0x42, 0xc3, 0x5d, 0xdc}, [16]uint8{0x0, 0x82, 0x19, 0x9b, 0x32, 0xb0, 0x2b, 0xa9, 0x64, 0xe6, 0x7d, 0xff, 0x56, 0xd4, 0x4f, 0xcd}, [16]uint8{0x0, 0x83, 0x1b, 0x98, 0x36, 0xb5, 0x2d, 0xae, 0x6c, 0xef, 0x77, 0xf4, 0x5a, 0xd9, 0x41, 0xc2}, [16]uint8{0x0, 0x84, 0x15, 0x91, 0x2a, 0xae, 0x3f, 0xbb, 0x54, 0xd0, 0x41, 0xc5, 0x7e, 0xfa, 0x6b, 0xef}, [16]uint8{0x0, 0x85, 0x17, 0x92, 0x2e, 0xab, 0x39, 0xbc, 0x5c, 0xd9, 0x4b, 0xce, 0x72, 0xf7, 0x65, 0xe0}, [16]uint8{0x0, 0x86, 0x11, 0x97, 0x22, 0xa4, 0x33, 0xb5, 0x44, 0xc2, 0x55, 0xd3, 0x66, 0xe0, 0x77, 0xf1}, [16]uint8{0x0, 0x87, 0x13, 0x94, 0x26, 0xa1, 0x35, 0xb2, 0x4c, 0xcb, 0x5f, 0xd8, 0x6a, 0xed, 0x79, 0xfe}, [16]uint8{0x0, 0x88, 0xd, 0x85, 0x1a, 0x92, 0x17, 0x9f, 0x34, 0xbc, 0x39, 0xb1, 0x2e, 0xa6, 0x23, 0xab}, [16]uint8{0x0, 0x89, 0xf, 0x86, 0x1e, 0x97, 0x11, 0x98, 0x3c, 0xb5, 0x33, 0xba, 0x22, 0xab, 0x2d, 0xa4}, [16]uint8{0x0, 0x8a, 0x9, 0x83, 0x12, 0x98, 0x1b, 0x91, 0x24, 0xae, 0x2d, 0xa7, 0x36, 0xbc, 0x3f, 0xb5}, [16]uint8{0x0, 0x8b, 0xb, 0x80, 0x16, 0x9d, 0x1d, 0x96, 0x2c, 0xa7, 0x27, 0xac, 0x3a, 0xb1, 0x31, 0xba}, [16]uint8{0x0, 0x8c, 0x5, 0x89, 0xa, 0x86, 0xf, 0x83, 0x14, 0x98, 0x11, 0x9d, 0x1e, 0x92, 0x1b, 0x97}, [16]uint8{0x0, 0x8d, 0x7, 0x8a, 0xe, 0x83, 0x9, 0x84, 0x1c, 0x91, 0x1b, 0x96, 0x12, 0x9f, 0x15, 0x98}, [16]uint8{0x0, 0x8e, 0x1, 0x8f, 0x2, 0x8c, 0x3, 0x8d, 0x4, 0x8a, 0x5, 0x8b, 0x6, 0x88, 0x7, 0x89}, [16]uint8{0x0, 0x8f, 0x3, 0x8c, 0x6, 0x89, 0x5, 0x8a, 0xc, 0x83, 0xf, 0x80, 0xa, 0x85, 0x9, 0x86}, [16]uint8{0x0, 0x90, 0x3d, 0xad, 0x7a, 0xea, 0x47, 0xd7, 0xf4, 0x64, 0xc9, 0x59, 0x8e, 0x1e, 0xb3, 0x23}, [16]uint8{0x0, 0x91, 0x3f, 0xae, 0x7e, 0xef, 0x41, 0xd0, 0xfc, 0x6d, 0xc3, 0x52, 0x82, 0x13, 0xbd, 0x2c}, [16]uint8{0x0, 0x92, 0x39, 0xab, 0x72, 0xe0, 0x4b, 0xd9, 0xe4, 0x76, 0xdd, 0x4f, 0x96, 0x4, 0xaf, 0x3d}, [16]uint8{0x0, 0x93, 0x3b, 0xa8, 0x76, 0xe5, 0x4d, 0xde, 0xec, 0x7f, 0xd7, 0x44, 0x9a, 0x9, 0xa1, 0x32}, [16]uint8{0x0, 0x94, 0x35, 0xa1, 0x6a, 0xfe, 0x5f, 0xcb, 0xd4, 0x40, 0xe1, 0x75, 0xbe, 0x2a, 0x8b, 0x1f}, [16]uint8{0x0, 0x95, 0x37, 0xa2, 0x6e, 0xfb, 0x59, 0xcc, 0xdc, 0x49, 0xeb, 0x7e, 0xb2, 0x27, 0x85, 0x10}, [16]uint8{0x0, 0x96, 0x31, 0xa7, 0x62, 0xf4, 0x53, 0xc5, 0xc4, 0x52, 0xf5, 0x63, 0xa6, 0x30, 0x97, 0x1}, [16]uint8{0x0, 0x97, 0x33, 0xa4, 0x66, 0xf1, 0x55, 0xc2, 0xcc, 0x5b, 0xff, 0x68, 0xaa, 0x3d, 0x99, 0xe}, [16]uint8{0x0, 0x98, 0x2d, 0xb5, 0x5a, 0xc2, 0x77, 0xef, 0xb4, 0x2c, 0x99, 0x1, 0xee, 0x76, 0xc3, 0x5b}, [16]uint8{0x0, 0x99, 0x2f, 0xb6, 0x5e, 0xc7, 0x71, 0xe8, 0xbc, 0x25, 0x93, 0xa, 0xe2, 0x7b, 0xcd, 0x54}, [16]uint8{0x0, 0x9a, 0x29, 0xb3, 0x52, 0xc8, 0x7b, 0xe1, 0xa4, 0x3e, 0x8d, 0x17, 0xf6, 0x6c, 0xdf, 0x45}, [16]uint8{0x0, 0x9b, 0x2b, 0xb0, 0x56, 0xcd, 0x7d, 0xe6, 0xac, 0x37, 0x87, 0x1c, 0xfa, 0x61, 0xd1, 0x4a}, [16]uint8{0x0, 0x9c, 0x25, 0xb9, 0x4a, 0xd6, 0x6f, 0xf3, 0x94, 0x8, 0xb1, 0x2d, 0xde, 0x42, 0xfb, 0x67}, [16]uint8{0x0, 0x9d, 0x27, 0xba, 0x4e, 0xd3, 0x69, 0xf4, 0x9c, 0x1, 0xbb, 0x26, 0xd2, 0x4f, 0xf5, 0x68}, [16]uint8{0x0, 0x9e, 0x21, 0xbf, 0x42, 0xdc, 0x63, 0xfd, 0x84, 0x1a, 0xa5, 0x3b, 0xc6, 0x58, 0xe7, 0x79}, [16]uint8{0x0, 0x9f, 0x23, 0xbc, 0x46, 0xd9, 0x65, 0xfa, 0x8c, 0x13, 0xaf, 0x30, 0xca, 0x55, 0xe9, 0x76}, [16]uint8{0x0, 0xa0, 0x5d, 0xfd, 0xba, 0x1a, 0xe7, 0x47, 0x69, 0xc9, 0x34, 0x94, 0xd3, 0x73, 0x8e, 0x2e}, [16]uint8{0x0, 0xa1, 0x5f, 0xfe, 0xbe, 0x1f, 0xe1, 0x40, 0x61, 0xc0, 0x3e, 0x9f, 0xdf, 0x7e, 0x80, 0x21}, [16]uint8{0x0, 0xa2, 0x59, 0xfb, 0xb2, 0x10, 0xeb, 0x49, 0x79, 0xdb, 0x20, 0x82, 0xcb, 0x69, 0x92, 0x30}, [16]uint8{0x0, 0xa3, 0x5b, 0xf8, 0xb6, 0x15, 0xed, 0x4e, 0x71, 0xd2, 0x2a, 0x89, 0xc7, 0x64, 0x9c, 0x3f}, [16]uint8{0x0, 0xa4, 0x55, 0xf1, 0xaa, 0xe, 0xff, 0x5b, 0x49, 0xed, 0x1c, 0xb8, 0xe3, 0x47, 0xb6, 0x12}, [16]uint8{0x0, 0xa5, 0x57, 0xf2, 0xae, 0xb, 0xf9, 0x5c, 0x41, 0xe4, 0x16, 0xb3, 0xef, 0x4a, 0xb8, 0x1d}, [16]uint8{0x0, 0xa6, 0x51, 0xf7, 0xa2, 0x4, 0xf3, 0x55, 0x59, 0xff, 0x8, 0xae, 0xfb, 0x5d, 0xaa, 0xc}, [16]uint8{0x0, 0xa7, 0x53, 0xf4, 0xa6, 0x1, 0xf5, 0x52, 0x51, 0xf6, 0x2, 0xa5, 0xf7, 0x50, 0xa4, 0x3}, [16]uint8{0x0, 0xa8, 0x4d, 0xe5, 0x9a, 0x32, 0xd7, 0x7f, 0x29, 0x81, 0x64, 0xcc, 0xb3, 0x1b, 0xfe, 0x56}, [16]uint8{0x0, 0xa9, 0x4f, 0xe6, 0x9e, 0x37, 0xd1, 0x78, 0x21, 0x88, 0x6e, 0xc7, 0xbf, 0x16, 0xf0, 0x59}, [16]uint8{0x0, 0xaa, 0x49, 0xe3, 0x92, 0x38, 0xdb, 0x71, 0x39, 0x93, 0x70, 0xda, 0xab, 0x1, 0xe2, 0x48}, [16]uint8{0x0, 0xab, 0x4b, 0xe0, 0x96, 0x3d, 0xdd, 0x76, 0x31, 0x9a, 0x7a, 0xd1, 0xa7, 0xc, 0xec, 0x47}, [16]uint8{0x0, 0xac, 0x45, 0xe9, 0x8a, 0x26, 0xcf, 0x63, 0x9, 0xa5, 0x4c, 0xe0, 0x83, 0x2f, 0xc6, 0x6a}, [16]uint8{0x0, 0xad, 0x47, 0xea, 0x8e, 0x23, 0xc9, 0x64, 0x1, 0xac, 0x46, 0xeb, 0x8f, 0x22, 0xc8, 0x65}, [16]uint8{0x0, 0xae, 0x41, 0xef, 0x82, 0x2c, 0xc3, 0x6d, 0x19, 0xb7, 0x58, 0xf6, 0x9b, 0x35, 0xda, 0x74}, [16]uint8{0x0, 0xaf, 0x43, 0xec, 0x86, 0x29, 0xc5, 0x6a, 0x11, 0xbe, 0x52, 0xfd, 0x97, 0x38, 0xd4, 0x7b}, [16]uint8{0x0, 0xb0, 0x7d, 0xcd, 0xfa, 0x4a, 0x87, 0x37, 0xe9, 0x59, 0x94, 0x24, 0x13, 0xa3, 0x6e, 0xde}, [16]uint8{0x0, 0xb1, 0x7f, 0xce, 0xfe, 0x4f, 0x81, 0x30, 0xe1, 0x50, 0x9e, 0x2f, 0x1f, 0xae, 0x60, 0xd1}, [16]uint8{0x0, 0xb2, 0x79, 0xcb, 0xf2, 0x40, 0x8b, 0x39, 0xf9, 0x4b, 0x80, 0x32, 0xb, 0xb9, 0x72, 0xc0}, [16]uint8{0x0, 0xb3, 0x7b, 0xc8, 0xf6, 0x45, 0x8d, 0x3e, 0xf1, 0x42, 0x8a, 0x39, 0x7, 0xb4, 0x7c, 0xcf}, [16]uint8{0x0, 0xb4, 0x75, 0xc1, 0xea, 0x5e, 0x9f, 0x2b, 0xc9, 0x7d, 0xbc, 0x8, 0x23, 0x97, 0x56, 0xe2}, [16]uint8{0x0, 0xb5, 0x77, 0xc2, 0xee, 0x5b, 0x99, 0x2c, 0xc1, 0x74, 0xb6, 0x3, 0x2f, 0x9a, 0x58, 0xed}, [16]uint8{0x0, 0xb6, 0x71, 0xc7, 0xe2, 0x54, 0x93, 0x25, 0xd9, 0x6f, 0xa8, 0x1e, 0x3b, 0x8d, 0x4a, 0xfc}, [16]uint8{0x0, 0xb7, 0x73, 0xc4, 0xe6, 0x51, 0x95, 0x22, 0xd1, 0x66, 0xa2, 0x15, 0x37, 0x80, 0x44, 0xf3}, [16]uint8{0x0, 0xb8, 0x6d, 0xd5, 0xda, 0x62, 0xb7, 0xf, 0xa9, 0x11, 0xc4, 0x7c, 0x73, 0xcb, 0x1e, 0xa6}, [16]uint8{0x0, 0xb9, 0x6f, 0xd6, 0xde, 0x67, 0xb1, 0x8, 0xa1, 0x18, 0xce, 0x77, 0x7f, 0xc6, 0x10, 0xa9}, [16]uint8{0x0, 0xba, 0x69, 0xd3, 0xd2, 0x68, 0xbb, 0x1, 0xb9, 0x3, 0xd0, 0x6a, 0x6b, 0xd1, 0x2, 0xb8}, [16]uint8{0x0, 0xbb, 0x6b, 0xd0, 0xd6, 0x6d, 0xbd, 0x6, 0xb1, 0xa, 0xda, 0x61, 0x67, 0xdc, 0xc, 0xb7}, [16]uint8{0x0, 0xbc, 0x65, 0xd9, 0xca, 0x76, 0xaf, 0x13, 0x89, 0x35, 0xec, 0x50, 0x43, 0xff, 0x26, 0x9a}, [16]uint8{0x0, 0xbd, 0x67, 0xda, 0xce, 0x73, 0xa9, 0x14, 0x81, 0x3c, 0xe6, 0x5b, 0x4f, 0xf2, 0x28, 0x95}, [16]uint8{0x0, 0xbe, 0x61, 0xdf, 0xc2, 0x7c, 0xa3, 0x1d, 0x99, 0x27, 0xf8, 0x46, 0x5b, 0xe5, 0x3a, 0x84}, [16]uint8{0x0, 0xbf, 0x63, 0xdc, 0xc6, 0x79, 0xa5, 0x1a, 0x91, 0x2e, 0xf2, 0x4d, 0x57, 0xe8, 0x34, 0x8b}, [16]uint8{0x0, 0xc0, 0x9d, 0x5d, 0x27, 0xe7, 0xba, 0x7a, 0x4e, 0x8e, 0xd3, 0x13, 0x69, 0xa9, 0xf4, 0x34}, [16]uint8{0x0, 0xc1, 0x9f, 0x5e, 0x23, 0xe2, 0xbc, 0x7d, 0x46, 0x87, 0xd9, 0x18, 0x65, 0xa4, 0xfa, 0x3b}, [16]uint8{0x0, 0xc2, 0x99, 0x5b, 0x2f, 0xed, 0xb6, 0x74, 0x5e, 0x9c, 0xc7, 0x5, 0x71, 0xb3, 0xe8, 0x2a}, [16]uint8{0x0, 0xc3, 0x9b, 0x58, 0x2b, 0xe8, 0xb0, 0x73, 0x56, 0x95, 0xcd, 0xe, 0x7d, 0xbe, 0xe6, 0x25}, [16]uint8{0x0, 0xc4, 0x95, 0x51, 0x37, 0xf3, 0xa2, 0x66, 0x6e, 0xaa, 0xfb, 0x3f, 0x59, 0x9d, 0xcc, 0x8}, [16]uint8{0x0, 0xc5, 0x97, 0x52, 0x33, 0xf6, 0xa4, 0x61, 0x66, 0xa3, 0xf1, 0x34, 0x55, 0x90, 0xc2, 0x7}, [16]uint8{0x0, 0xc6, 0x91, 0x57, 0x3f, 0xf9, 0xae, 0x68, 0x7e, 0xb8, 0xef, 0x29, 0x41, 0x87, 0xd0, 0x16}, [16]uint8{0x0, 0xc7, 0x93, 0x54, 0x3b, 0xfc, 0xa8, 0x6f, 0x76, 0xb1, 0xe5, 0x22, 0x4d, 0x8a, 0xde, 0x19}, [16]uint8{0x0, 0xc8, 0x8d, 0x45, 0x7, 0xcf, 0x8a, 0x42, 0xe, 0xc6, 0x83, 0x4b, 0x9, 0xc1, 0x84, 0x4c}, [16]uint8{0x0, 0xc9, 0x8f, 0x46, 0x3, 0xca, 0x8c, 0x45, 0x6, 0xcf, 0x89, 0x40, 0x5, 0xcc, 0x8a, 0x43}, [16]uint8{0x0, 0xca, 0x89, 0x43, 0xf, 0xc5, 0x86, 0x4c, 0x1e, 0xd4, 0x97, 0x5d, 0x11, 0xdb, 0x98, 0x52}, [16]uint8{0x0, 0xcb, 0x8b, 0x40, 0xb, 0xc0, 0x80, 0x4b, 0x16, 0xdd, 0x9d, 0x56, 0x1d, 0xd6, 0x96, 0x5d}, [16]uint8{0x0, 0xcc, 0x85, 0x49, 0x17, 0xdb, 0x92, 0x5e, 0x2e, 0xe2, 0xab, 0x67, 0x39, 0xf5, 0xbc, 0x70}, [16]uint8{0x0, 0xcd, 0x87, 0x4a, 0x13, 0xde, 0x94, 0x59, 0x26, 0xeb, 0xa1, 0x6c, 0x35, 0xf8, 0xb2, 0x7f}, [16]uint8{0x0, 0xce, 0x81, 0x4f, 0x1f, 0xd1, 0x9e, 0x50, 0x3e, 0xf0, 0xbf, 0x71, 0x21, 0xef, 0xa0, 0x6e}, [16]uint8{0x0, 0xcf, 0x83, 0x4c, 0x1b, 0xd4, 0x98, 0x57, 0x36, 0xf9, 0xb5, 0x7a, 0x2d, 0xe2, 0xae, 0x61}, [16]uint8{0x0, 0xd0, 0xbd, 0x6d, 0x67, 0xb7, 0xda, 0xa, 0xce, 0x1e, 0x73, 0xa3, 0xa9, 0x79, 0x14, 0xc4}, [16]uint8{0x0, 0xd1, 0xbf, 0x6e, 0x63, 0xb2, 0xdc, 0xd, 0xc6, 0x17, 0x79, 0xa8, 0xa5, 0x74, 0x1a, 0xcb}, [16]uint8{0x0, 0xd2, 0xb9, 0x6b, 0x6f, 0xbd, 0xd6, 0x4, 0xde, 0xc, 0x67, 0xb5, 0xb1, 0x63, 0x8, 0xda}, [16]uint8{0x0, 0xd3, 0xbb, 0x68, 0x6b, 0xb8, 0xd0, 0x3, 0xd6, 0x5, 0x6d, 0xbe, 0xbd, 0x6e, 0x6, 0xd5}, [16]uint8{0x0, 0xd4, 0xb5, 0x61, 0x77, 0xa3, 0xc2, 0x16, 0xee, 0x3a, 0x5b, 0x8f, 0x99, 0x4d, 0x2c, 0xf8}, [16]uint8{0x0, 0xd5, 0xb7, 0x62, 0x73, 0xa6, 0xc4, 0x11, 0xe6, 0x33, 0x51, 0x84, 0x95, 0x40, 0x22, 0xf7}, [16]uint8{0x0, 0xd6, 0xb1, 0x67, 0x7f, 0xa9, 0xce, 0x18, 0xfe, 0x28, 0x4f, 0x99, 0x81, 0x57, 0x30, 0xe6}, [16]uint8{0x0, 0xd7, 0xb3, 0x64, 0x7b, 0xac, 0xc8, 0x1f, 0xf6, 0x21, 0x45, 0x92, 0x8d, 0x5a, 0x3e, 0xe9}, [16]uint8{0x0, 0xd8, 0xad, 0x75, 0x47, 0x9f, 0xea, 0x32, 0x8e, 0x56, 0x23, 0xfb, 0xc9, 0x11, 0x64, 0xbc}, [16]uint8{0x0, 0xd9, 0xaf, 0x76, 0x43, 0x9a, 0xec, 0x35, 0x86, 0x5f, 0x29, 0xf0, 0xc5, 0x1c, 0x6a, 0xb3}, [16]uint8{0x0, 0xda, 0xa9, 0x73, 0x4f, 0x95, 0xe6, 0x3c, 0x9e, 0x44, 0x37, 0xed, 0xd1, 0xb, 0x78, 0xa2}, [16]uint8{0x0, 0xdb, 0xab, 0x70, 0x4b, 0x90, 0xe0, 0x3b, 0x96, 0x4d, 0x3d, 0xe6, 0xdd, 0x6, 0x76, 0xad}, [16]uint8{0x0, 0xdc, 0xa5, 0x79, 0x57, 0x8b, 0xf2, 0x2e, 0xae, 0x72, 0xb, 0xd7, 0xf9, 0x25, 0x5c, 0x80}, [16]uint8{0x0, 0xdd, 0xa7, 0x7a, 0x53, 0x8e, 0xf4, 0x29, 0xa6, 0x7b, 0x1, 0xdc, 0xf5, 0x28, 0x52, 0x8f}, [16]uint8{0x0, 0xde, 0xa1, 0x7f, 0x5f, 0x81, 0xfe, 0x20, 0xbe, 0x60, 0x1f, 0xc1, 0xe1, 0x3f, 0x40, 0x9e}, [16]uint8{0x0, 0xdf, 0xa3, 0x7c, 0x5b, 0x84, 0xf8, 0x27, 0xb6, 0x69, 0x15, 0xca, 0xed, 0x32, 0x4e, 0x91}, [16]uint8{0x0, 0xe0, 0xdd, 0x3d, 0xa7, 0x47, 0x7a, 0x9a, 0x53, 0xb3, 0x8e, 0x6e, 0xf4, 0x14, 0x29, 0xc9}, [16]uint8{0x0, 0xe1, 0xdf, 0x3e, 0xa3, 0x42, 0x7c, 0x9d, 0x5b, 0xba, 0x84, 0x65, 0xf8, 0x19, 0x27, 0xc6}, [16]uint8{0x0, 0xe2, 0xd9, 0x3b, 0xaf, 0x4d, 0x76, 0x94, 0x43, 0xa1, 0x9a, 0x78, 0xec, 0xe, 0x35, 0xd7}, [16]uint8{0x0, 0xe3, 0xdb, 0x38, 0xab, 0x48, 0x70, 0x93, 0x4b, 0xa8, 0x90, 0x73, 0xe0, 0x3, 0x3b, 0xd8}, [16]uint8{0x0, 0xe4, 0xd5, 0x31, 0xb7, 0x53, 0x62, 0x86, 0x73, 0x97, 0xa6, 0x42, 0xc4, 0x20, 0x11, 0xf5}, [16]uint8{0x0, 0xe5, 0xd7, 0x32, 0xb3, 0x56, 0x64, 0x81, 0x7b, 0x9e, 0xac, 0x49, 0xc8, 0x2d, 0x1f, 0xfa}, [16]uint8{0x0, 0xe6, 0xd1, 0x37, 0xbf, 0x59, 0x6e, 0x88, 0x63, 0x85, 0xb2, 0x54, 0xdc, 0x3a, 0xd, 0xeb}, [16]uint8{0x0, 0xe7, 0xd3, 0x34, 0xbb, 0x5c, 0x68, 0x8f, 0x6b, 0x8c, 0xb8, 0x5f, 0xd0, 0x37, 0x3, 0xe4}, [16]uint8{0x0, 0xe8, 0xcd, 0x25, 0x87, 0x6f, 0x4a, 0xa2, 0x13, 0xfb, 0xde, 0x36, 0x94, 0x7c, 0x59, 0xb1}, [16]uint8{0x0, 0xe9, 0xcf, 0x26, 0x83, 0x6a, 0x4c, 0xa5, 0x1b, 0xf2, 0xd4, 0x3d, 0x98, 0x71, 0x57, 0xbe}, [16]uint8{0x0, 0xea, 0xc9, 0x23, 0x8f, 0x65, 0x46, 0xac, 0x3, 0xe9, 0xca, 0x20, 0x8c, 0x66, 0x45, 0xaf}, [16]uint8{0x0, 0xeb, 0xcb, 0x20, 0x8b, 0x60, 0x40, 0xab, 0xb, 0xe0, 0xc0, 0x2b, 0x80, 0x6b, 0x4b, 0xa0}, [16]uint8{0x0, 0xec, 0xc5, 0x29, 0x97, 0x7b, 0x52, 0xbe, 0x33, 0xdf, 0xf6, 0x1a, 0xa4, 0x48, 0x61, 0x8d}, [16]uint8{0x0, 0xed, 0xc7, 0x2a, 0x93, 0x7e, 0x54, 0xb9, 0x3b, 0xd6, 0xfc, 0x11, 0xa8, 0x45, 0x6f, 0x82}, [16]uint8{0x0, 0xee, 0xc1, 0x2f, 0x9f, 0x71, 0x5e, 0xb0, 0x23, 0xcd, 0xe2, 0xc, 0xbc, 0x52, 0x7d, 0x93}, [16]uint8{0x0, 0xef, 0xc3, 0x2c, 0x9b, 0x74, 0x58, 0xb7, 0x2b, 0xc4, 0xe8, 0x7, 0xb0, 0x5f, 0x73, 0x9c}, [16]uint8{0x0, 0xf0, 0xfd, 0xd, 0xe7, 0x17, 0x1a, 0xea, 0xd3, 0x23, 0x2e, 0xde, 0x34, 0xc4, 0xc9, 0x39}, [16]uint8{0x0, 0xf1, 0xff, 0xe, 0xe3, 0x12, 0x1c, 0xed, 0xdb, 0x2a, 0x24, 0xd5, 0x38, 0xc9, 0xc7, 0x36}, [16]uint8{0x0, 0xf2, 0xf9, 0xb, 0xef, 0x1d, 0x16, 0xe4, 0xc3, 0x31, 0x3a, 0xc8, 0x2c, 0xde, 0xd5, 0x27}, [16]uint8{0x0, 0xf3, 0xfb, 0x8, 0xeb, 0x18, 0x10, 0xe3, 0xcb, 0x38, 0x30, 0xc3, 0x20, 0xd3, 0xdb, 0x28}, [16]uint8{0x0, 0xf4, 0xf5, 0x1, 0xf7, 0x3, 0x2, 0xf6, 0xf3, 0x7, 0x6, 0xf2, 0x4, 0xf0, 0xf1, 0x5}, [16]uint8{0x0, 0xf5, 0xf7, 0x2, 0xf3, 0x6, 0x4, 0xf1, 0xfb, 0xe, 0xc, 0xf9, 0x8, 0xfd, 0xff, 0xa}, [16]uint8{0x0, 0xf6, 0xf1, 0x7, 0xff, 0x9, 0xe, 0xf8, 0xe3, 0x15, 0x12, 0xe4, 0x1c, 0xea, 0xed, 0x1b}, [16]uint8{0x0, 0xf7, 0xf3, 0x4, 0xfb, 0xc, 0x8, 0xff, 0xeb, 0x1c, 0x18, 0xef, 0x10, 0xe7, 0xe3, 0x14}, [16]uint8{0x0, 0xf8, 0xed, 0x15, 0xc7, 0x3f, 0x2a, 0xd2, 0x93, 0x6b, 0x7e, 0x86, 0x54, 0xac, 0xb9, 0x41}, [16]uint8{0x0, 0xf9, 0xef, 0x16, 0xc3, 0x3a, 0x2c, 0xd5, 0x9b, 0x62, 0x74, 0x8d, 0x58, 0xa1, 0xb7, 0x4e}, [16]uint8{0x0, 0xfa, 0xe9, 0x13, 0xcf, 0x35, 0x26, 0xdc, 0x83, 0x79, 0x6a, 0x90, 0x4c, 0xb6, 0xa5, 0x5f}, [16]uint8{0x0, 0xfb, 0xeb, 0x10, 0xcb, 0x30, 0x20, 0xdb, 0x8b, 0x70, 0x60, 0x9b, 0x40, 0xbb, 0xab, 0x50}, [16]uint8{0x0, 0xfc, 0xe5, 0x19, 0xd7, 0x2b, 0x32, 0xce, 0xb3, 0x4f, 0x56, 0xaa, 0x64, 0x98, 0x81, 0x7d}, [16]uint8{0x0, 0xfd, 0xe7, 0x1a, 0xd3, 0x2e, 0x34, 0xc9, 0xbb, 0x46, 0x5c, 0xa1, 0x68, 0x95, 0x8f, 0x72}, [16]uint8{0x0, 0xfe, 0xe1, 0x1f, 0xdf, 0x21, 0x3e, 0xc0, 0xa3, 0x5d, 0x42, 0xbc, 0x7c, 0x82, 0x9d, 0x63}, [16]uint8{0x0, 0xff, 0xe3, 0x1c, 0xdb, 0x24, 0x38, 0xc7, 0xab, 0x54, 0x48, 0xb7, 0x70, 0x8f, 0x93, 0x6c}} -var mulTableHigh = [256][16]uint8{[16]uint8{0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0}, [16]uint8{0x0, 0x10, 0x20, 0x30, 0x40, 0x50, 0x60, 0x70, 0x80, 0x90, 0xa0, 0xb0, 0xc0, 0xd0, 0xe0, 0xf0}, [16]uint8{0x0, 0x20, 0x40, 0x60, 0x80, 0xa0, 0xc0, 0xe0, 0x1d, 0x3d, 0x5d, 0x7d, 0x9d, 0xbd, 0xdd, 0xfd}, [16]uint8{0x0, 0x30, 0x60, 0x50, 0xc0, 0xf0, 0xa0, 0x90, 0x9d, 0xad, 0xfd, 0xcd, 0x5d, 0x6d, 0x3d, 0xd}, [16]uint8{0x0, 0x40, 0x80, 0xc0, 0x1d, 0x5d, 0x9d, 0xdd, 0x3a, 0x7a, 0xba, 0xfa, 0x27, 0x67, 0xa7, 0xe7}, [16]uint8{0x0, 0x50, 0xa0, 0xf0, 0x5d, 0xd, 0xfd, 0xad, 0xba, 0xea, 0x1a, 0x4a, 0xe7, 0xb7, 0x47, 0x17}, [16]uint8{0x0, 0x60, 0xc0, 0xa0, 0x9d, 0xfd, 0x5d, 0x3d, 0x27, 0x47, 0xe7, 0x87, 0xba, 0xda, 0x7a, 0x1a}, [16]uint8{0x0, 0x70, 0xe0, 0x90, 0xdd, 0xad, 0x3d, 0x4d, 0xa7, 0xd7, 0x47, 0x37, 0x7a, 0xa, 0x9a, 0xea}, [16]uint8{0x0, 0x80, 0x1d, 0x9d, 0x3a, 0xba, 0x27, 0xa7, 0x74, 0xf4, 0x69, 0xe9, 0x4e, 0xce, 0x53, 0xd3}, [16]uint8{0x0, 0x90, 0x3d, 0xad, 0x7a, 0xea, 0x47, 0xd7, 0xf4, 0x64, 0xc9, 0x59, 0x8e, 0x1e, 0xb3, 0x23}, [16]uint8{0x0, 0xa0, 0x5d, 0xfd, 0xba, 0x1a, 0xe7, 0x47, 0x69, 0xc9, 0x34, 0x94, 0xd3, 0x73, 0x8e, 0x2e}, [16]uint8{0x0, 0xb0, 0x7d, 0xcd, 0xfa, 0x4a, 0x87, 0x37, 0xe9, 0x59, 0x94, 0x24, 0x13, 0xa3, 0x6e, 0xde}, [16]uint8{0x0, 0xc0, 0x9d, 0x5d, 0x27, 0xe7, 0xba, 0x7a, 0x4e, 0x8e, 0xd3, 0x13, 0x69, 0xa9, 0xf4, 0x34}, [16]uint8{0x0, 0xd0, 0xbd, 0x6d, 0x67, 0xb7, 0xda, 0xa, 0xce, 0x1e, 0x73, 0xa3, 0xa9, 0x79, 0x14, 0xc4}, [16]uint8{0x0, 0xe0, 0xdd, 0x3d, 0xa7, 0x47, 0x7a, 0x9a, 0x53, 0xb3, 0x8e, 0x6e, 0xf4, 0x14, 0x29, 0xc9}, [16]uint8{0x0, 0xf0, 0xfd, 0xd, 0xe7, 0x17, 0x1a, 0xea, 0xd3, 0x23, 0x2e, 0xde, 0x34, 0xc4, 0xc9, 0x39}, [16]uint8{0x0, 0x1d, 0x3a, 0x27, 0x74, 0x69, 0x4e, 0x53, 0xe8, 0xf5, 0xd2, 0xcf, 0x9c, 0x81, 0xa6, 0xbb}, [16]uint8{0x0, 0xd, 0x1a, 0x17, 0x34, 0x39, 0x2e, 0x23, 0x68, 0x65, 0x72, 0x7f, 0x5c, 0x51, 0x46, 0x4b}, [16]uint8{0x0, 0x3d, 0x7a, 0x47, 0xf4, 0xc9, 0x8e, 0xb3, 0xf5, 0xc8, 0x8f, 0xb2, 0x1, 0x3c, 0x7b, 0x46}, [16]uint8{0x0, 0x2d, 0x5a, 0x77, 0xb4, 0x99, 0xee, 0xc3, 0x75, 0x58, 0x2f, 0x2, 0xc1, 0xec, 0x9b, 0xb6}, [16]uint8{0x0, 0x5d, 0xba, 0xe7, 0x69, 0x34, 0xd3, 0x8e, 0xd2, 0x8f, 0x68, 0x35, 0xbb, 0xe6, 0x1, 0x5c}, [16]uint8{0x0, 0x4d, 0x9a, 0xd7, 0x29, 0x64, 0xb3, 0xfe, 0x52, 0x1f, 0xc8, 0x85, 0x7b, 0x36, 0xe1, 0xac}, [16]uint8{0x0, 0x7d, 0xfa, 0x87, 0xe9, 0x94, 0x13, 0x6e, 0xcf, 0xb2, 0x35, 0x48, 0x26, 0x5b, 0xdc, 0xa1}, [16]uint8{0x0, 0x6d, 0xda, 0xb7, 0xa9, 0xc4, 0x73, 0x1e, 0x4f, 0x22, 0x95, 0xf8, 0xe6, 0x8b, 0x3c, 0x51}, [16]uint8{0x0, 0x9d, 0x27, 0xba, 0x4e, 0xd3, 0x69, 0xf4, 0x9c, 0x1, 0xbb, 0x26, 0xd2, 0x4f, 0xf5, 0x68}, [16]uint8{0x0, 0x8d, 0x7, 0x8a, 0xe, 0x83, 0x9, 0x84, 0x1c, 0x91, 0x1b, 0x96, 0x12, 0x9f, 0x15, 0x98}, [16]uint8{0x0, 0xbd, 0x67, 0xda, 0xce, 0x73, 0xa9, 0x14, 0x81, 0x3c, 0xe6, 0x5b, 0x4f, 0xf2, 0x28, 0x95}, [16]uint8{0x0, 0xad, 0x47, 0xea, 0x8e, 0x23, 0xc9, 0x64, 0x1, 0xac, 0x46, 0xeb, 0x8f, 0x22, 0xc8, 0x65}, [16]uint8{0x0, 0xdd, 0xa7, 0x7a, 0x53, 0x8e, 0xf4, 0x29, 0xa6, 0x7b, 0x1, 0xdc, 0xf5, 0x28, 0x52, 0x8f}, [16]uint8{0x0, 0xcd, 0x87, 0x4a, 0x13, 0xde, 0x94, 0x59, 0x26, 0xeb, 0xa1, 0x6c, 0x35, 0xf8, 0xb2, 0x7f}, [16]uint8{0x0, 0xfd, 0xe7, 0x1a, 0xd3, 0x2e, 0x34, 0xc9, 0xbb, 0x46, 0x5c, 0xa1, 0x68, 0x95, 0x8f, 0x72}, [16]uint8{0x0, 0xed, 0xc7, 0x2a, 0x93, 0x7e, 0x54, 0xb9, 0x3b, 0xd6, 0xfc, 0x11, 0xa8, 0x45, 0x6f, 0x82}, [16]uint8{0x0, 0x3a, 0x74, 0x4e, 0xe8, 0xd2, 0x9c, 0xa6, 0xcd, 0xf7, 0xb9, 0x83, 0x25, 0x1f, 0x51, 0x6b}, [16]uint8{0x0, 0x2a, 0x54, 0x7e, 0xa8, 0x82, 0xfc, 0xd6, 0x4d, 0x67, 0x19, 0x33, 0xe5, 0xcf, 0xb1, 0x9b}, [16]uint8{0x0, 0x1a, 0x34, 0x2e, 0x68, 0x72, 0x5c, 0x46, 0xd0, 0xca, 0xe4, 0xfe, 0xb8, 0xa2, 0x8c, 0x96}, [16]uint8{0x0, 0xa, 0x14, 0x1e, 0x28, 0x22, 0x3c, 0x36, 0x50, 0x5a, 0x44, 0x4e, 0x78, 0x72, 0x6c, 0x66}, [16]uint8{0x0, 0x7a, 0xf4, 0x8e, 0xf5, 0x8f, 0x1, 0x7b, 0xf7, 0x8d, 0x3, 0x79, 0x2, 0x78, 0xf6, 0x8c}, [16]uint8{0x0, 0x6a, 0xd4, 0xbe, 0xb5, 0xdf, 0x61, 0xb, 0x77, 0x1d, 0xa3, 0xc9, 0xc2, 0xa8, 0x16, 0x7c}, [16]uint8{0x0, 0x5a, 0xb4, 0xee, 0x75, 0x2f, 0xc1, 0x9b, 0xea, 0xb0, 0x5e, 0x4, 0x9f, 0xc5, 0x2b, 0x71}, [16]uint8{0x0, 0x4a, 0x94, 0xde, 0x35, 0x7f, 0xa1, 0xeb, 0x6a, 0x20, 0xfe, 0xb4, 0x5f, 0x15, 0xcb, 0x81}, [16]uint8{0x0, 0xba, 0x69, 0xd3, 0xd2, 0x68, 0xbb, 0x1, 0xb9, 0x3, 0xd0, 0x6a, 0x6b, 0xd1, 0x2, 0xb8}, [16]uint8{0x0, 0xaa, 0x49, 0xe3, 0x92, 0x38, 0xdb, 0x71, 0x39, 0x93, 0x70, 0xda, 0xab, 0x1, 0xe2, 0x48}, [16]uint8{0x0, 0x9a, 0x29, 0xb3, 0x52, 0xc8, 0x7b, 0xe1, 0xa4, 0x3e, 0x8d, 0x17, 0xf6, 0x6c, 0xdf, 0x45}, [16]uint8{0x0, 0x8a, 0x9, 0x83, 0x12, 0x98, 0x1b, 0x91, 0x24, 0xae, 0x2d, 0xa7, 0x36, 0xbc, 0x3f, 0xb5}, [16]uint8{0x0, 0xfa, 0xe9, 0x13, 0xcf, 0x35, 0x26, 0xdc, 0x83, 0x79, 0x6a, 0x90, 0x4c, 0xb6, 0xa5, 0x5f}, [16]uint8{0x0, 0xea, 0xc9, 0x23, 0x8f, 0x65, 0x46, 0xac, 0x3, 0xe9, 0xca, 0x20, 0x8c, 0x66, 0x45, 0xaf}, [16]uint8{0x0, 0xda, 0xa9, 0x73, 0x4f, 0x95, 0xe6, 0x3c, 0x9e, 0x44, 0x37, 0xed, 0xd1, 0xb, 0x78, 0xa2}, [16]uint8{0x0, 0xca, 0x89, 0x43, 0xf, 0xc5, 0x86, 0x4c, 0x1e, 0xd4, 0x97, 0x5d, 0x11, 0xdb, 0x98, 0x52}, [16]uint8{0x0, 0x27, 0x4e, 0x69, 0x9c, 0xbb, 0xd2, 0xf5, 0x25, 0x2, 0x6b, 0x4c, 0xb9, 0x9e, 0xf7, 0xd0}, [16]uint8{0x0, 0x37, 0x6e, 0x59, 0xdc, 0xeb, 0xb2, 0x85, 0xa5, 0x92, 0xcb, 0xfc, 0x79, 0x4e, 0x17, 0x20}, [16]uint8{0x0, 0x7, 0xe, 0x9, 0x1c, 0x1b, 0x12, 0x15, 0x38, 0x3f, 0x36, 0x31, 0x24, 0x23, 0x2a, 0x2d}, [16]uint8{0x0, 0x17, 0x2e, 0x39, 0x5c, 0x4b, 0x72, 0x65, 0xb8, 0xaf, 0x96, 0x81, 0xe4, 0xf3, 0xca, 0xdd}, [16]uint8{0x0, 0x67, 0xce, 0xa9, 0x81, 0xe6, 0x4f, 0x28, 0x1f, 0x78, 0xd1, 0xb6, 0x9e, 0xf9, 0x50, 0x37}, [16]uint8{0x0, 0x77, 0xee, 0x99, 0xc1, 0xb6, 0x2f, 0x58, 0x9f, 0xe8, 0x71, 0x6, 0x5e, 0x29, 0xb0, 0xc7}, [16]uint8{0x0, 0x47, 0x8e, 0xc9, 0x1, 0x46, 0x8f, 0xc8, 0x2, 0x45, 0x8c, 0xcb, 0x3, 0x44, 0x8d, 0xca}, [16]uint8{0x0, 0x57, 0xae, 0xf9, 0x41, 0x16, 0xef, 0xb8, 0x82, 0xd5, 0x2c, 0x7b, 0xc3, 0x94, 0x6d, 0x3a}, [16]uint8{0x0, 0xa7, 0x53, 0xf4, 0xa6, 0x1, 0xf5, 0x52, 0x51, 0xf6, 0x2, 0xa5, 0xf7, 0x50, 0xa4, 0x3}, [16]uint8{0x0, 0xb7, 0x73, 0xc4, 0xe6, 0x51, 0x95, 0x22, 0xd1, 0x66, 0xa2, 0x15, 0x37, 0x80, 0x44, 0xf3}, [16]uint8{0x0, 0x87, 0x13, 0x94, 0x26, 0xa1, 0x35, 0xb2, 0x4c, 0xcb, 0x5f, 0xd8, 0x6a, 0xed, 0x79, 0xfe}, [16]uint8{0x0, 0x97, 0x33, 0xa4, 0x66, 0xf1, 0x55, 0xc2, 0xcc, 0x5b, 0xff, 0x68, 0xaa, 0x3d, 0x99, 0xe}, [16]uint8{0x0, 0xe7, 0xd3, 0x34, 0xbb, 0x5c, 0x68, 0x8f, 0x6b, 0x8c, 0xb8, 0x5f, 0xd0, 0x37, 0x3, 0xe4}, [16]uint8{0x0, 0xf7, 0xf3, 0x4, 0xfb, 0xc, 0x8, 0xff, 0xeb, 0x1c, 0x18, 0xef, 0x10, 0xe7, 0xe3, 0x14}, [16]uint8{0x0, 0xc7, 0x93, 0x54, 0x3b, 0xfc, 0xa8, 0x6f, 0x76, 0xb1, 0xe5, 0x22, 0x4d, 0x8a, 0xde, 0x19}, [16]uint8{0x0, 0xd7, 0xb3, 0x64, 0x7b, 0xac, 0xc8, 0x1f, 0xf6, 0x21, 0x45, 0x92, 0x8d, 0x5a, 0x3e, 0xe9}, [16]uint8{0x0, 0x74, 0xe8, 0x9c, 0xcd, 0xb9, 0x25, 0x51, 0x87, 0xf3, 0x6f, 0x1b, 0x4a, 0x3e, 0xa2, 0xd6}, [16]uint8{0x0, 0x64, 0xc8, 0xac, 0x8d, 0xe9, 0x45, 0x21, 0x7, 0x63, 0xcf, 0xab, 0x8a, 0xee, 0x42, 0x26}, [16]uint8{0x0, 0x54, 0xa8, 0xfc, 0x4d, 0x19, 0xe5, 0xb1, 0x9a, 0xce, 0x32, 0x66, 0xd7, 0x83, 0x7f, 0x2b}, [16]uint8{0x0, 0x44, 0x88, 0xcc, 0xd, 0x49, 0x85, 0xc1, 0x1a, 0x5e, 0x92, 0xd6, 0x17, 0x53, 0x9f, 0xdb}, [16]uint8{0x0, 0x34, 0x68, 0x5c, 0xd0, 0xe4, 0xb8, 0x8c, 0xbd, 0x89, 0xd5, 0xe1, 0x6d, 0x59, 0x5, 0x31}, [16]uint8{0x0, 0x24, 0x48, 0x6c, 0x90, 0xb4, 0xd8, 0xfc, 0x3d, 0x19, 0x75, 0x51, 0xad, 0x89, 0xe5, 0xc1}, [16]uint8{0x0, 0x14, 0x28, 0x3c, 0x50, 0x44, 0x78, 0x6c, 0xa0, 0xb4, 0x88, 0x9c, 0xf0, 0xe4, 0xd8, 0xcc}, [16]uint8{0x0, 0x4, 0x8, 0xc, 0x10, 0x14, 0x18, 0x1c, 0x20, 0x24, 0x28, 0x2c, 0x30, 0x34, 0x38, 0x3c}, [16]uint8{0x0, 0xf4, 0xf5, 0x1, 0xf7, 0x3, 0x2, 0xf6, 0xf3, 0x7, 0x6, 0xf2, 0x4, 0xf0, 0xf1, 0x5}, [16]uint8{0x0, 0xe4, 0xd5, 0x31, 0xb7, 0x53, 0x62, 0x86, 0x73, 0x97, 0xa6, 0x42, 0xc4, 0x20, 0x11, 0xf5}, [16]uint8{0x0, 0xd4, 0xb5, 0x61, 0x77, 0xa3, 0xc2, 0x16, 0xee, 0x3a, 0x5b, 0x8f, 0x99, 0x4d, 0x2c, 0xf8}, [16]uint8{0x0, 0xc4, 0x95, 0x51, 0x37, 0xf3, 0xa2, 0x66, 0x6e, 0xaa, 0xfb, 0x3f, 0x59, 0x9d, 0xcc, 0x8}, [16]uint8{0x0, 0xb4, 0x75, 0xc1, 0xea, 0x5e, 0x9f, 0x2b, 0xc9, 0x7d, 0xbc, 0x8, 0x23, 0x97, 0x56, 0xe2}, [16]uint8{0x0, 0xa4, 0x55, 0xf1, 0xaa, 0xe, 0xff, 0x5b, 0x49, 0xed, 0x1c, 0xb8, 0xe3, 0x47, 0xb6, 0x12}, [16]uint8{0x0, 0x94, 0x35, 0xa1, 0x6a, 0xfe, 0x5f, 0xcb, 0xd4, 0x40, 0xe1, 0x75, 0xbe, 0x2a, 0x8b, 0x1f}, [16]uint8{0x0, 0x84, 0x15, 0x91, 0x2a, 0xae, 0x3f, 0xbb, 0x54, 0xd0, 0x41, 0xc5, 0x7e, 0xfa, 0x6b, 0xef}, [16]uint8{0x0, 0x69, 0xd2, 0xbb, 0xb9, 0xd0, 0x6b, 0x2, 0x6f, 0x6, 0xbd, 0xd4, 0xd6, 0xbf, 0x4, 0x6d}, [16]uint8{0x0, 0x79, 0xf2, 0x8b, 0xf9, 0x80, 0xb, 0x72, 0xef, 0x96, 0x1d, 0x64, 0x16, 0x6f, 0xe4, 0x9d}, [16]uint8{0x0, 0x49, 0x92, 0xdb, 0x39, 0x70, 0xab, 0xe2, 0x72, 0x3b, 0xe0, 0xa9, 0x4b, 0x2, 0xd9, 0x90}, [16]uint8{0x0, 0x59, 0xb2, 0xeb, 0x79, 0x20, 0xcb, 0x92, 0xf2, 0xab, 0x40, 0x19, 0x8b, 0xd2, 0x39, 0x60}, [16]uint8{0x0, 0x29, 0x52, 0x7b, 0xa4, 0x8d, 0xf6, 0xdf, 0x55, 0x7c, 0x7, 0x2e, 0xf1, 0xd8, 0xa3, 0x8a}, [16]uint8{0x0, 0x39, 0x72, 0x4b, 0xe4, 0xdd, 0x96, 0xaf, 0xd5, 0xec, 0xa7, 0x9e, 0x31, 0x8, 0x43, 0x7a}, [16]uint8{0x0, 0x9, 0x12, 0x1b, 0x24, 0x2d, 0x36, 0x3f, 0x48, 0x41, 0x5a, 0x53, 0x6c, 0x65, 0x7e, 0x77}, [16]uint8{0x0, 0x19, 0x32, 0x2b, 0x64, 0x7d, 0x56, 0x4f, 0xc8, 0xd1, 0xfa, 0xe3, 0xac, 0xb5, 0x9e, 0x87}, [16]uint8{0x0, 0xe9, 0xcf, 0x26, 0x83, 0x6a, 0x4c, 0xa5, 0x1b, 0xf2, 0xd4, 0x3d, 0x98, 0x71, 0x57, 0xbe}, [16]uint8{0x0, 0xf9, 0xef, 0x16, 0xc3, 0x3a, 0x2c, 0xd5, 0x9b, 0x62, 0x74, 0x8d, 0x58, 0xa1, 0xb7, 0x4e}, [16]uint8{0x0, 0xc9, 0x8f, 0x46, 0x3, 0xca, 0x8c, 0x45, 0x6, 0xcf, 0x89, 0x40, 0x5, 0xcc, 0x8a, 0x43}, [16]uint8{0x0, 0xd9, 0xaf, 0x76, 0x43, 0x9a, 0xec, 0x35, 0x86, 0x5f, 0x29, 0xf0, 0xc5, 0x1c, 0x6a, 0xb3}, [16]uint8{0x0, 0xa9, 0x4f, 0xe6, 0x9e, 0x37, 0xd1, 0x78, 0x21, 0x88, 0x6e, 0xc7, 0xbf, 0x16, 0xf0, 0x59}, [16]uint8{0x0, 0xb9, 0x6f, 0xd6, 0xde, 0x67, 0xb1, 0x8, 0xa1, 0x18, 0xce, 0x77, 0x7f, 0xc6, 0x10, 0xa9}, [16]uint8{0x0, 0x89, 0xf, 0x86, 0x1e, 0x97, 0x11, 0x98, 0x3c, 0xb5, 0x33, 0xba, 0x22, 0xab, 0x2d, 0xa4}, [16]uint8{0x0, 0x99, 0x2f, 0xb6, 0x5e, 0xc7, 0x71, 0xe8, 0xbc, 0x25, 0x93, 0xa, 0xe2, 0x7b, 0xcd, 0x54}, [16]uint8{0x0, 0x4e, 0x9c, 0xd2, 0x25, 0x6b, 0xb9, 0xf7, 0x4a, 0x4, 0xd6, 0x98, 0x6f, 0x21, 0xf3, 0xbd}, [16]uint8{0x0, 0x5e, 0xbc, 0xe2, 0x65, 0x3b, 0xd9, 0x87, 0xca, 0x94, 0x76, 0x28, 0xaf, 0xf1, 0x13, 0x4d}, [16]uint8{0x0, 0x6e, 0xdc, 0xb2, 0xa5, 0xcb, 0x79, 0x17, 0x57, 0x39, 0x8b, 0xe5, 0xf2, 0x9c, 0x2e, 0x40}, [16]uint8{0x0, 0x7e, 0xfc, 0x82, 0xe5, 0x9b, 0x19, 0x67, 0xd7, 0xa9, 0x2b, 0x55, 0x32, 0x4c, 0xce, 0xb0}, [16]uint8{0x0, 0xe, 0x1c, 0x12, 0x38, 0x36, 0x24, 0x2a, 0x70, 0x7e, 0x6c, 0x62, 0x48, 0x46, 0x54, 0x5a}, [16]uint8{0x0, 0x1e, 0x3c, 0x22, 0x78, 0x66, 0x44, 0x5a, 0xf0, 0xee, 0xcc, 0xd2, 0x88, 0x96, 0xb4, 0xaa}, [16]uint8{0x0, 0x2e, 0x5c, 0x72, 0xb8, 0x96, 0xe4, 0xca, 0x6d, 0x43, 0x31, 0x1f, 0xd5, 0xfb, 0x89, 0xa7}, [16]uint8{0x0, 0x3e, 0x7c, 0x42, 0xf8, 0xc6, 0x84, 0xba, 0xed, 0xd3, 0x91, 0xaf, 0x15, 0x2b, 0x69, 0x57}, [16]uint8{0x0, 0xce, 0x81, 0x4f, 0x1f, 0xd1, 0x9e, 0x50, 0x3e, 0xf0, 0xbf, 0x71, 0x21, 0xef, 0xa0, 0x6e}, [16]uint8{0x0, 0xde, 0xa1, 0x7f, 0x5f, 0x81, 0xfe, 0x20, 0xbe, 0x60, 0x1f, 0xc1, 0xe1, 0x3f, 0x40, 0x9e}, [16]uint8{0x0, 0xee, 0xc1, 0x2f, 0x9f, 0x71, 0x5e, 0xb0, 0x23, 0xcd, 0xe2, 0xc, 0xbc, 0x52, 0x7d, 0x93}, [16]uint8{0x0, 0xfe, 0xe1, 0x1f, 0xdf, 0x21, 0x3e, 0xc0, 0xa3, 0x5d, 0x42, 0xbc, 0x7c, 0x82, 0x9d, 0x63}, [16]uint8{0x0, 0x8e, 0x1, 0x8f, 0x2, 0x8c, 0x3, 0x8d, 0x4, 0x8a, 0x5, 0x8b, 0x6, 0x88, 0x7, 0x89}, [16]uint8{0x0, 0x9e, 0x21, 0xbf, 0x42, 0xdc, 0x63, 0xfd, 0x84, 0x1a, 0xa5, 0x3b, 0xc6, 0x58, 0xe7, 0x79}, [16]uint8{0x0, 0xae, 0x41, 0xef, 0x82, 0x2c, 0xc3, 0x6d, 0x19, 0xb7, 0x58, 0xf6, 0x9b, 0x35, 0xda, 0x74}, [16]uint8{0x0, 0xbe, 0x61, 0xdf, 0xc2, 0x7c, 0xa3, 0x1d, 0x99, 0x27, 0xf8, 0x46, 0x5b, 0xe5, 0x3a, 0x84}, [16]uint8{0x0, 0x53, 0xa6, 0xf5, 0x51, 0x2, 0xf7, 0xa4, 0xa2, 0xf1, 0x4, 0x57, 0xf3, 0xa0, 0x55, 0x6}, [16]uint8{0x0, 0x43, 0x86, 0xc5, 0x11, 0x52, 0x97, 0xd4, 0x22, 0x61, 0xa4, 0xe7, 0x33, 0x70, 0xb5, 0xf6}, [16]uint8{0x0, 0x73, 0xe6, 0x95, 0xd1, 0xa2, 0x37, 0x44, 0xbf, 0xcc, 0x59, 0x2a, 0x6e, 0x1d, 0x88, 0xfb}, [16]uint8{0x0, 0x63, 0xc6, 0xa5, 0x91, 0xf2, 0x57, 0x34, 0x3f, 0x5c, 0xf9, 0x9a, 0xae, 0xcd, 0x68, 0xb}, [16]uint8{0x0, 0x13, 0x26, 0x35, 0x4c, 0x5f, 0x6a, 0x79, 0x98, 0x8b, 0xbe, 0xad, 0xd4, 0xc7, 0xf2, 0xe1}, [16]uint8{0x0, 0x3, 0x6, 0x5, 0xc, 0xf, 0xa, 0x9, 0x18, 0x1b, 0x1e, 0x1d, 0x14, 0x17, 0x12, 0x11}, [16]uint8{0x0, 0x33, 0x66, 0x55, 0xcc, 0xff, 0xaa, 0x99, 0x85, 0xb6, 0xe3, 0xd0, 0x49, 0x7a, 0x2f, 0x1c}, [16]uint8{0x0, 0x23, 0x46, 0x65, 0x8c, 0xaf, 0xca, 0xe9, 0x5, 0x26, 0x43, 0x60, 0x89, 0xaa, 0xcf, 0xec}, [16]uint8{0x0, 0xd3, 0xbb, 0x68, 0x6b, 0xb8, 0xd0, 0x3, 0xd6, 0x5, 0x6d, 0xbe, 0xbd, 0x6e, 0x6, 0xd5}, [16]uint8{0x0, 0xc3, 0x9b, 0x58, 0x2b, 0xe8, 0xb0, 0x73, 0x56, 0x95, 0xcd, 0xe, 0x7d, 0xbe, 0xe6, 0x25}, [16]uint8{0x0, 0xf3, 0xfb, 0x8, 0xeb, 0x18, 0x10, 0xe3, 0xcb, 0x38, 0x30, 0xc3, 0x20, 0xd3, 0xdb, 0x28}, [16]uint8{0x0, 0xe3, 0xdb, 0x38, 0xab, 0x48, 0x70, 0x93, 0x4b, 0xa8, 0x90, 0x73, 0xe0, 0x3, 0x3b, 0xd8}, [16]uint8{0x0, 0x93, 0x3b, 0xa8, 0x76, 0xe5, 0x4d, 0xde, 0xec, 0x7f, 0xd7, 0x44, 0x9a, 0x9, 0xa1, 0x32}, [16]uint8{0x0, 0x83, 0x1b, 0x98, 0x36, 0xb5, 0x2d, 0xae, 0x6c, 0xef, 0x77, 0xf4, 0x5a, 0xd9, 0x41, 0xc2}, [16]uint8{0x0, 0xb3, 0x7b, 0xc8, 0xf6, 0x45, 0x8d, 0x3e, 0xf1, 0x42, 0x8a, 0x39, 0x7, 0xb4, 0x7c, 0xcf}, [16]uint8{0x0, 0xa3, 0x5b, 0xf8, 0xb6, 0x15, 0xed, 0x4e, 0x71, 0xd2, 0x2a, 0x89, 0xc7, 0x64, 0x9c, 0x3f}, [16]uint8{0x0, 0xe8, 0xcd, 0x25, 0x87, 0x6f, 0x4a, 0xa2, 0x13, 0xfb, 0xde, 0x36, 0x94, 0x7c, 0x59, 0xb1}, [16]uint8{0x0, 0xf8, 0xed, 0x15, 0xc7, 0x3f, 0x2a, 0xd2, 0x93, 0x6b, 0x7e, 0x86, 0x54, 0xac, 0xb9, 0x41}, [16]uint8{0x0, 0xc8, 0x8d, 0x45, 0x7, 0xcf, 0x8a, 0x42, 0xe, 0xc6, 0x83, 0x4b, 0x9, 0xc1, 0x84, 0x4c}, [16]uint8{0x0, 0xd8, 0xad, 0x75, 0x47, 0x9f, 0xea, 0x32, 0x8e, 0x56, 0x23, 0xfb, 0xc9, 0x11, 0x64, 0xbc}, [16]uint8{0x0, 0xa8, 0x4d, 0xe5, 0x9a, 0x32, 0xd7, 0x7f, 0x29, 0x81, 0x64, 0xcc, 0xb3, 0x1b, 0xfe, 0x56}, [16]uint8{0x0, 0xb8, 0x6d, 0xd5, 0xda, 0x62, 0xb7, 0xf, 0xa9, 0x11, 0xc4, 0x7c, 0x73, 0xcb, 0x1e, 0xa6}, [16]uint8{0x0, 0x88, 0xd, 0x85, 0x1a, 0x92, 0x17, 0x9f, 0x34, 0xbc, 0x39, 0xb1, 0x2e, 0xa6, 0x23, 0xab}, [16]uint8{0x0, 0x98, 0x2d, 0xb5, 0x5a, 0xc2, 0x77, 0xef, 0xb4, 0x2c, 0x99, 0x1, 0xee, 0x76, 0xc3, 0x5b}, [16]uint8{0x0, 0x68, 0xd0, 0xb8, 0xbd, 0xd5, 0x6d, 0x5, 0x67, 0xf, 0xb7, 0xdf, 0xda, 0xb2, 0xa, 0x62}, [16]uint8{0x0, 0x78, 0xf0, 0x88, 0xfd, 0x85, 0xd, 0x75, 0xe7, 0x9f, 0x17, 0x6f, 0x1a, 0x62, 0xea, 0x92}, [16]uint8{0x0, 0x48, 0x90, 0xd8, 0x3d, 0x75, 0xad, 0xe5, 0x7a, 0x32, 0xea, 0xa2, 0x47, 0xf, 0xd7, 0x9f}, [16]uint8{0x0, 0x58, 0xb0, 0xe8, 0x7d, 0x25, 0xcd, 0x95, 0xfa, 0xa2, 0x4a, 0x12, 0x87, 0xdf, 0x37, 0x6f}, [16]uint8{0x0, 0x28, 0x50, 0x78, 0xa0, 0x88, 0xf0, 0xd8, 0x5d, 0x75, 0xd, 0x25, 0xfd, 0xd5, 0xad, 0x85}, [16]uint8{0x0, 0x38, 0x70, 0x48, 0xe0, 0xd8, 0x90, 0xa8, 0xdd, 0xe5, 0xad, 0x95, 0x3d, 0x5, 0x4d, 0x75}, [16]uint8{0x0, 0x8, 0x10, 0x18, 0x20, 0x28, 0x30, 0x38, 0x40, 0x48, 0x50, 0x58, 0x60, 0x68, 0x70, 0x78}, [16]uint8{0x0, 0x18, 0x30, 0x28, 0x60, 0x78, 0x50, 0x48, 0xc0, 0xd8, 0xf0, 0xe8, 0xa0, 0xb8, 0x90, 0x88}, [16]uint8{0x0, 0xf5, 0xf7, 0x2, 0xf3, 0x6, 0x4, 0xf1, 0xfb, 0xe, 0xc, 0xf9, 0x8, 0xfd, 0xff, 0xa}, [16]uint8{0x0, 0xe5, 0xd7, 0x32, 0xb3, 0x56, 0x64, 0x81, 0x7b, 0x9e, 0xac, 0x49, 0xc8, 0x2d, 0x1f, 0xfa}, [16]uint8{0x0, 0xd5, 0xb7, 0x62, 0x73, 0xa6, 0xc4, 0x11, 0xe6, 0x33, 0x51, 0x84, 0x95, 0x40, 0x22, 0xf7}, [16]uint8{0x0, 0xc5, 0x97, 0x52, 0x33, 0xf6, 0xa4, 0x61, 0x66, 0xa3, 0xf1, 0x34, 0x55, 0x90, 0xc2, 0x7}, [16]uint8{0x0, 0xb5, 0x77, 0xc2, 0xee, 0x5b, 0x99, 0x2c, 0xc1, 0x74, 0xb6, 0x3, 0x2f, 0x9a, 0x58, 0xed}, [16]uint8{0x0, 0xa5, 0x57, 0xf2, 0xae, 0xb, 0xf9, 0x5c, 0x41, 0xe4, 0x16, 0xb3, 0xef, 0x4a, 0xb8, 0x1d}, [16]uint8{0x0, 0x95, 0x37, 0xa2, 0x6e, 0xfb, 0x59, 0xcc, 0xdc, 0x49, 0xeb, 0x7e, 0xb2, 0x27, 0x85, 0x10}, [16]uint8{0x0, 0x85, 0x17, 0x92, 0x2e, 0xab, 0x39, 0xbc, 0x5c, 0xd9, 0x4b, 0xce, 0x72, 0xf7, 0x65, 0xe0}, [16]uint8{0x0, 0x75, 0xea, 0x9f, 0xc9, 0xbc, 0x23, 0x56, 0x8f, 0xfa, 0x65, 0x10, 0x46, 0x33, 0xac, 0xd9}, [16]uint8{0x0, 0x65, 0xca, 0xaf, 0x89, 0xec, 0x43, 0x26, 0xf, 0x6a, 0xc5, 0xa0, 0x86, 0xe3, 0x4c, 0x29}, [16]uint8{0x0, 0x55, 0xaa, 0xff, 0x49, 0x1c, 0xe3, 0xb6, 0x92, 0xc7, 0x38, 0x6d, 0xdb, 0x8e, 0x71, 0x24}, [16]uint8{0x0, 0x45, 0x8a, 0xcf, 0x9, 0x4c, 0x83, 0xc6, 0x12, 0x57, 0x98, 0xdd, 0x1b, 0x5e, 0x91, 0xd4}, [16]uint8{0x0, 0x35, 0x6a, 0x5f, 0xd4, 0xe1, 0xbe, 0x8b, 0xb5, 0x80, 0xdf, 0xea, 0x61, 0x54, 0xb, 0x3e}, [16]uint8{0x0, 0x25, 0x4a, 0x6f, 0x94, 0xb1, 0xde, 0xfb, 0x35, 0x10, 0x7f, 0x5a, 0xa1, 0x84, 0xeb, 0xce}, [16]uint8{0x0, 0x15, 0x2a, 0x3f, 0x54, 0x41, 0x7e, 0x6b, 0xa8, 0xbd, 0x82, 0x97, 0xfc, 0xe9, 0xd6, 0xc3}, [16]uint8{0x0, 0x5, 0xa, 0xf, 0x14, 0x11, 0x1e, 0x1b, 0x28, 0x2d, 0x22, 0x27, 0x3c, 0x39, 0x36, 0x33}, [16]uint8{0x0, 0xd2, 0xb9, 0x6b, 0x6f, 0xbd, 0xd6, 0x4, 0xde, 0xc, 0x67, 0xb5, 0xb1, 0x63, 0x8, 0xda}, [16]uint8{0x0, 0xc2, 0x99, 0x5b, 0x2f, 0xed, 0xb6, 0x74, 0x5e, 0x9c, 0xc7, 0x5, 0x71, 0xb3, 0xe8, 0x2a}, [16]uint8{0x0, 0xf2, 0xf9, 0xb, 0xef, 0x1d, 0x16, 0xe4, 0xc3, 0x31, 0x3a, 0xc8, 0x2c, 0xde, 0xd5, 0x27}, [16]uint8{0x0, 0xe2, 0xd9, 0x3b, 0xaf, 0x4d, 0x76, 0x94, 0x43, 0xa1, 0x9a, 0x78, 0xec, 0xe, 0x35, 0xd7}, [16]uint8{0x0, 0x92, 0x39, 0xab, 0x72, 0xe0, 0x4b, 0xd9, 0xe4, 0x76, 0xdd, 0x4f, 0x96, 0x4, 0xaf, 0x3d}, [16]uint8{0x0, 0x82, 0x19, 0x9b, 0x32, 0xb0, 0x2b, 0xa9, 0x64, 0xe6, 0x7d, 0xff, 0x56, 0xd4, 0x4f, 0xcd}, [16]uint8{0x0, 0xb2, 0x79, 0xcb, 0xf2, 0x40, 0x8b, 0x39, 0xf9, 0x4b, 0x80, 0x32, 0xb, 0xb9, 0x72, 0xc0}, [16]uint8{0x0, 0xa2, 0x59, 0xfb, 0xb2, 0x10, 0xeb, 0x49, 0x79, 0xdb, 0x20, 0x82, 0xcb, 0x69, 0x92, 0x30}, [16]uint8{0x0, 0x52, 0xa4, 0xf6, 0x55, 0x7, 0xf1, 0xa3, 0xaa, 0xf8, 0xe, 0x5c, 0xff, 0xad, 0x5b, 0x9}, [16]uint8{0x0, 0x42, 0x84, 0xc6, 0x15, 0x57, 0x91, 0xd3, 0x2a, 0x68, 0xae, 0xec, 0x3f, 0x7d, 0xbb, 0xf9}, [16]uint8{0x0, 0x72, 0xe4, 0x96, 0xd5, 0xa7, 0x31, 0x43, 0xb7, 0xc5, 0x53, 0x21, 0x62, 0x10, 0x86, 0xf4}, [16]uint8{0x0, 0x62, 0xc4, 0xa6, 0x95, 0xf7, 0x51, 0x33, 0x37, 0x55, 0xf3, 0x91, 0xa2, 0xc0, 0x66, 0x4}, [16]uint8{0x0, 0x12, 0x24, 0x36, 0x48, 0x5a, 0x6c, 0x7e, 0x90, 0x82, 0xb4, 0xa6, 0xd8, 0xca, 0xfc, 0xee}, [16]uint8{0x0, 0x2, 0x4, 0x6, 0x8, 0xa, 0xc, 0xe, 0x10, 0x12, 0x14, 0x16, 0x18, 0x1a, 0x1c, 0x1e}, [16]uint8{0x0, 0x32, 0x64, 0x56, 0xc8, 0xfa, 0xac, 0x9e, 0x8d, 0xbf, 0xe9, 0xdb, 0x45, 0x77, 0x21, 0x13}, [16]uint8{0x0, 0x22, 0x44, 0x66, 0x88, 0xaa, 0xcc, 0xee, 0xd, 0x2f, 0x49, 0x6b, 0x85, 0xa7, 0xc1, 0xe3}, [16]uint8{0x0, 0xcf, 0x83, 0x4c, 0x1b, 0xd4, 0x98, 0x57, 0x36, 0xf9, 0xb5, 0x7a, 0x2d, 0xe2, 0xae, 0x61}, [16]uint8{0x0, 0xdf, 0xa3, 0x7c, 0x5b, 0x84, 0xf8, 0x27, 0xb6, 0x69, 0x15, 0xca, 0xed, 0x32, 0x4e, 0x91}, [16]uint8{0x0, 0xef, 0xc3, 0x2c, 0x9b, 0x74, 0x58, 0xb7, 0x2b, 0xc4, 0xe8, 0x7, 0xb0, 0x5f, 0x73, 0x9c}, [16]uint8{0x0, 0xff, 0xe3, 0x1c, 0xdb, 0x24, 0x38, 0xc7, 0xab, 0x54, 0x48, 0xb7, 0x70, 0x8f, 0x93, 0x6c}, [16]uint8{0x0, 0x8f, 0x3, 0x8c, 0x6, 0x89, 0x5, 0x8a, 0xc, 0x83, 0xf, 0x80, 0xa, 0x85, 0x9, 0x86}, [16]uint8{0x0, 0x9f, 0x23, 0xbc, 0x46, 0xd9, 0x65, 0xfa, 0x8c, 0x13, 0xaf, 0x30, 0xca, 0x55, 0xe9, 0x76}, [16]uint8{0x0, 0xaf, 0x43, 0xec, 0x86, 0x29, 0xc5, 0x6a, 0x11, 0xbe, 0x52, 0xfd, 0x97, 0x38, 0xd4, 0x7b}, [16]uint8{0x0, 0xbf, 0x63, 0xdc, 0xc6, 0x79, 0xa5, 0x1a, 0x91, 0x2e, 0xf2, 0x4d, 0x57, 0xe8, 0x34, 0x8b}, [16]uint8{0x0, 0x4f, 0x9e, 0xd1, 0x21, 0x6e, 0xbf, 0xf0, 0x42, 0xd, 0xdc, 0x93, 0x63, 0x2c, 0xfd, 0xb2}, [16]uint8{0x0, 0x5f, 0xbe, 0xe1, 0x61, 0x3e, 0xdf, 0x80, 0xc2, 0x9d, 0x7c, 0x23, 0xa3, 0xfc, 0x1d, 0x42}, [16]uint8{0x0, 0x6f, 0xde, 0xb1, 0xa1, 0xce, 0x7f, 0x10, 0x5f, 0x30, 0x81, 0xee, 0xfe, 0x91, 0x20, 0x4f}, [16]uint8{0x0, 0x7f, 0xfe, 0x81, 0xe1, 0x9e, 0x1f, 0x60, 0xdf, 0xa0, 0x21, 0x5e, 0x3e, 0x41, 0xc0, 0xbf}, [16]uint8{0x0, 0xf, 0x1e, 0x11, 0x3c, 0x33, 0x22, 0x2d, 0x78, 0x77, 0x66, 0x69, 0x44, 0x4b, 0x5a, 0x55}, [16]uint8{0x0, 0x1f, 0x3e, 0x21, 0x7c, 0x63, 0x42, 0x5d, 0xf8, 0xe7, 0xc6, 0xd9, 0x84, 0x9b, 0xba, 0xa5}, [16]uint8{0x0, 0x2f, 0x5e, 0x71, 0xbc, 0x93, 0xe2, 0xcd, 0x65, 0x4a, 0x3b, 0x14, 0xd9, 0xf6, 0x87, 0xa8}, [16]uint8{0x0, 0x3f, 0x7e, 0x41, 0xfc, 0xc3, 0x82, 0xbd, 0xe5, 0xda, 0x9b, 0xa4, 0x19, 0x26, 0x67, 0x58}, [16]uint8{0x0, 0x9c, 0x25, 0xb9, 0x4a, 0xd6, 0x6f, 0xf3, 0x94, 0x8, 0xb1, 0x2d, 0xde, 0x42, 0xfb, 0x67}, [16]uint8{0x0, 0x8c, 0x5, 0x89, 0xa, 0x86, 0xf, 0x83, 0x14, 0x98, 0x11, 0x9d, 0x1e, 0x92, 0x1b, 0x97}, [16]uint8{0x0, 0xbc, 0x65, 0xd9, 0xca, 0x76, 0xaf, 0x13, 0x89, 0x35, 0xec, 0x50, 0x43, 0xff, 0x26, 0x9a}, [16]uint8{0x0, 0xac, 0x45, 0xe9, 0x8a, 0x26, 0xcf, 0x63, 0x9, 0xa5, 0x4c, 0xe0, 0x83, 0x2f, 0xc6, 0x6a}, [16]uint8{0x0, 0xdc, 0xa5, 0x79, 0x57, 0x8b, 0xf2, 0x2e, 0xae, 0x72, 0xb, 0xd7, 0xf9, 0x25, 0x5c, 0x80}, [16]uint8{0x0, 0xcc, 0x85, 0x49, 0x17, 0xdb, 0x92, 0x5e, 0x2e, 0xe2, 0xab, 0x67, 0x39, 0xf5, 0xbc, 0x70}, [16]uint8{0x0, 0xfc, 0xe5, 0x19, 0xd7, 0x2b, 0x32, 0xce, 0xb3, 0x4f, 0x56, 0xaa, 0x64, 0x98, 0x81, 0x7d}, [16]uint8{0x0, 0xec, 0xc5, 0x29, 0x97, 0x7b, 0x52, 0xbe, 0x33, 0xdf, 0xf6, 0x1a, 0xa4, 0x48, 0x61, 0x8d}, [16]uint8{0x0, 0x1c, 0x38, 0x24, 0x70, 0x6c, 0x48, 0x54, 0xe0, 0xfc, 0xd8, 0xc4, 0x90, 0x8c, 0xa8, 0xb4}, [16]uint8{0x0, 0xc, 0x18, 0x14, 0x30, 0x3c, 0x28, 0x24, 0x60, 0x6c, 0x78, 0x74, 0x50, 0x5c, 0x48, 0x44}, [16]uint8{0x0, 0x3c, 0x78, 0x44, 0xf0, 0xcc, 0x88, 0xb4, 0xfd, 0xc1, 0x85, 0xb9, 0xd, 0x31, 0x75, 0x49}, [16]uint8{0x0, 0x2c, 0x58, 0x74, 0xb0, 0x9c, 0xe8, 0xc4, 0x7d, 0x51, 0x25, 0x9, 0xcd, 0xe1, 0x95, 0xb9}, [16]uint8{0x0, 0x5c, 0xb8, 0xe4, 0x6d, 0x31, 0xd5, 0x89, 0xda, 0x86, 0x62, 0x3e, 0xb7, 0xeb, 0xf, 0x53}, [16]uint8{0x0, 0x4c, 0x98, 0xd4, 0x2d, 0x61, 0xb5, 0xf9, 0x5a, 0x16, 0xc2, 0x8e, 0x77, 0x3b, 0xef, 0xa3}, [16]uint8{0x0, 0x7c, 0xf8, 0x84, 0xed, 0x91, 0x15, 0x69, 0xc7, 0xbb, 0x3f, 0x43, 0x2a, 0x56, 0xd2, 0xae}, [16]uint8{0x0, 0x6c, 0xd8, 0xb4, 0xad, 0xc1, 0x75, 0x19, 0x47, 0x2b, 0x9f, 0xf3, 0xea, 0x86, 0x32, 0x5e}, [16]uint8{0x0, 0x81, 0x1f, 0x9e, 0x3e, 0xbf, 0x21, 0xa0, 0x7c, 0xfd, 0x63, 0xe2, 0x42, 0xc3, 0x5d, 0xdc}, [16]uint8{0x0, 0x91, 0x3f, 0xae, 0x7e, 0xef, 0x41, 0xd0, 0xfc, 0x6d, 0xc3, 0x52, 0x82, 0x13, 0xbd, 0x2c}, [16]uint8{0x0, 0xa1, 0x5f, 0xfe, 0xbe, 0x1f, 0xe1, 0x40, 0x61, 0xc0, 0x3e, 0x9f, 0xdf, 0x7e, 0x80, 0x21}, [16]uint8{0x0, 0xb1, 0x7f, 0xce, 0xfe, 0x4f, 0x81, 0x30, 0xe1, 0x50, 0x9e, 0x2f, 0x1f, 0xae, 0x60, 0xd1}, [16]uint8{0x0, 0xc1, 0x9f, 0x5e, 0x23, 0xe2, 0xbc, 0x7d, 0x46, 0x87, 0xd9, 0x18, 0x65, 0xa4, 0xfa, 0x3b}, [16]uint8{0x0, 0xd1, 0xbf, 0x6e, 0x63, 0xb2, 0xdc, 0xd, 0xc6, 0x17, 0x79, 0xa8, 0xa5, 0x74, 0x1a, 0xcb}, [16]uint8{0x0, 0xe1, 0xdf, 0x3e, 0xa3, 0x42, 0x7c, 0x9d, 0x5b, 0xba, 0x84, 0x65, 0xf8, 0x19, 0x27, 0xc6}, [16]uint8{0x0, 0xf1, 0xff, 0xe, 0xe3, 0x12, 0x1c, 0xed, 0xdb, 0x2a, 0x24, 0xd5, 0x38, 0xc9, 0xc7, 0x36}, [16]uint8{0x0, 0x1, 0x2, 0x3, 0x4, 0x5, 0x6, 0x7, 0x8, 0x9, 0xa, 0xb, 0xc, 0xd, 0xe, 0xf}, [16]uint8{0x0, 0x11, 0x22, 0x33, 0x44, 0x55, 0x66, 0x77, 0x88, 0x99, 0xaa, 0xbb, 0xcc, 0xdd, 0xee, 0xff}, [16]uint8{0x0, 0x21, 0x42, 0x63, 0x84, 0xa5, 0xc6, 0xe7, 0x15, 0x34, 0x57, 0x76, 0x91, 0xb0, 0xd3, 0xf2}, [16]uint8{0x0, 0x31, 0x62, 0x53, 0xc4, 0xf5, 0xa6, 0x97, 0x95, 0xa4, 0xf7, 0xc6, 0x51, 0x60, 0x33, 0x2}, [16]uint8{0x0, 0x41, 0x82, 0xc3, 0x19, 0x58, 0x9b, 0xda, 0x32, 0x73, 0xb0, 0xf1, 0x2b, 0x6a, 0xa9, 0xe8}, [16]uint8{0x0, 0x51, 0xa2, 0xf3, 0x59, 0x8, 0xfb, 0xaa, 0xb2, 0xe3, 0x10, 0x41, 0xeb, 0xba, 0x49, 0x18}, [16]uint8{0x0, 0x61, 0xc2, 0xa3, 0x99, 0xf8, 0x5b, 0x3a, 0x2f, 0x4e, 0xed, 0x8c, 0xb6, 0xd7, 0x74, 0x15}, [16]uint8{0x0, 0x71, 0xe2, 0x93, 0xd9, 0xa8, 0x3b, 0x4a, 0xaf, 0xde, 0x4d, 0x3c, 0x76, 0x7, 0x94, 0xe5}, [16]uint8{0x0, 0xa6, 0x51, 0xf7, 0xa2, 0x4, 0xf3, 0x55, 0x59, 0xff, 0x8, 0xae, 0xfb, 0x5d, 0xaa, 0xc}, [16]uint8{0x0, 0xb6, 0x71, 0xc7, 0xe2, 0x54, 0x93, 0x25, 0xd9, 0x6f, 0xa8, 0x1e, 0x3b, 0x8d, 0x4a, 0xfc}, [16]uint8{0x0, 0x86, 0x11, 0x97, 0x22, 0xa4, 0x33, 0xb5, 0x44, 0xc2, 0x55, 0xd3, 0x66, 0xe0, 0x77, 0xf1}, [16]uint8{0x0, 0x96, 0x31, 0xa7, 0x62, 0xf4, 0x53, 0xc5, 0xc4, 0x52, 0xf5, 0x63, 0xa6, 0x30, 0x97, 0x1}, [16]uint8{0x0, 0xe6, 0xd1, 0x37, 0xbf, 0x59, 0x6e, 0x88, 0x63, 0x85, 0xb2, 0x54, 0xdc, 0x3a, 0xd, 0xeb}, [16]uint8{0x0, 0xf6, 0xf1, 0x7, 0xff, 0x9, 0xe, 0xf8, 0xe3, 0x15, 0x12, 0xe4, 0x1c, 0xea, 0xed, 0x1b}, [16]uint8{0x0, 0xc6, 0x91, 0x57, 0x3f, 0xf9, 0xae, 0x68, 0x7e, 0xb8, 0xef, 0x29, 0x41, 0x87, 0xd0, 0x16}, [16]uint8{0x0, 0xd6, 0xb1, 0x67, 0x7f, 0xa9, 0xce, 0x18, 0xfe, 0x28, 0x4f, 0x99, 0x81, 0x57, 0x30, 0xe6}, [16]uint8{0x0, 0x26, 0x4c, 0x6a, 0x98, 0xbe, 0xd4, 0xf2, 0x2d, 0xb, 0x61, 0x47, 0xb5, 0x93, 0xf9, 0xdf}, [16]uint8{0x0, 0x36, 0x6c, 0x5a, 0xd8, 0xee, 0xb4, 0x82, 0xad, 0x9b, 0xc1, 0xf7, 0x75, 0x43, 0x19, 0x2f}, [16]uint8{0x0, 0x6, 0xc, 0xa, 0x18, 0x1e, 0x14, 0x12, 0x30, 0x36, 0x3c, 0x3a, 0x28, 0x2e, 0x24, 0x22}, [16]uint8{0x0, 0x16, 0x2c, 0x3a, 0x58, 0x4e, 0x74, 0x62, 0xb0, 0xa6, 0x9c, 0x8a, 0xe8, 0xfe, 0xc4, 0xd2}, [16]uint8{0x0, 0x66, 0xcc, 0xaa, 0x85, 0xe3, 0x49, 0x2f, 0x17, 0x71, 0xdb, 0xbd, 0x92, 0xf4, 0x5e, 0x38}, [16]uint8{0x0, 0x76, 0xec, 0x9a, 0xc5, 0xb3, 0x29, 0x5f, 0x97, 0xe1, 0x7b, 0xd, 0x52, 0x24, 0xbe, 0xc8}, [16]uint8{0x0, 0x46, 0x8c, 0xca, 0x5, 0x43, 0x89, 0xcf, 0xa, 0x4c, 0x86, 0xc0, 0xf, 0x49, 0x83, 0xc5}, [16]uint8{0x0, 0x56, 0xac, 0xfa, 0x45, 0x13, 0xe9, 0xbf, 0x8a, 0xdc, 0x26, 0x70, 0xcf, 0x99, 0x63, 0x35}, [16]uint8{0x0, 0xbb, 0x6b, 0xd0, 0xd6, 0x6d, 0xbd, 0x6, 0xb1, 0xa, 0xda, 0x61, 0x67, 0xdc, 0xc, 0xb7}, [16]uint8{0x0, 0xab, 0x4b, 0xe0, 0x96, 0x3d, 0xdd, 0x76, 0x31, 0x9a, 0x7a, 0xd1, 0xa7, 0xc, 0xec, 0x47}, [16]uint8{0x0, 0x9b, 0x2b, 0xb0, 0x56, 0xcd, 0x7d, 0xe6, 0xac, 0x37, 0x87, 0x1c, 0xfa, 0x61, 0xd1, 0x4a}, [16]uint8{0x0, 0x8b, 0xb, 0x80, 0x16, 0x9d, 0x1d, 0x96, 0x2c, 0xa7, 0x27, 0xac, 0x3a, 0xb1, 0x31, 0xba}, [16]uint8{0x0, 0xfb, 0xeb, 0x10, 0xcb, 0x30, 0x20, 0xdb, 0x8b, 0x70, 0x60, 0x9b, 0x40, 0xbb, 0xab, 0x50}, [16]uint8{0x0, 0xeb, 0xcb, 0x20, 0x8b, 0x60, 0x40, 0xab, 0xb, 0xe0, 0xc0, 0x2b, 0x80, 0x6b, 0x4b, 0xa0}, [16]uint8{0x0, 0xdb, 0xab, 0x70, 0x4b, 0x90, 0xe0, 0x3b, 0x96, 0x4d, 0x3d, 0xe6, 0xdd, 0x6, 0x76, 0xad}, [16]uint8{0x0, 0xcb, 0x8b, 0x40, 0xb, 0xc0, 0x80, 0x4b, 0x16, 0xdd, 0x9d, 0x56, 0x1d, 0xd6, 0x96, 0x5d}, [16]uint8{0x0, 0x3b, 0x76, 0x4d, 0xec, 0xd7, 0x9a, 0xa1, 0xc5, 0xfe, 0xb3, 0x88, 0x29, 0x12, 0x5f, 0x64}, [16]uint8{0x0, 0x2b, 0x56, 0x7d, 0xac, 0x87, 0xfa, 0xd1, 0x45, 0x6e, 0x13, 0x38, 0xe9, 0xc2, 0xbf, 0x94}, [16]uint8{0x0, 0x1b, 0x36, 0x2d, 0x6c, 0x77, 0x5a, 0x41, 0xd8, 0xc3, 0xee, 0xf5, 0xb4, 0xaf, 0x82, 0x99}, [16]uint8{0x0, 0xb, 0x16, 0x1d, 0x2c, 0x27, 0x3a, 0x31, 0x58, 0x53, 0x4e, 0x45, 0x74, 0x7f, 0x62, 0x69}, [16]uint8{0x0, 0x7b, 0xf6, 0x8d, 0xf1, 0x8a, 0x7, 0x7c, 0xff, 0x84, 0x9, 0x72, 0xe, 0x75, 0xf8, 0x83}, [16]uint8{0x0, 0x6b, 0xd6, 0xbd, 0xb1, 0xda, 0x67, 0xc, 0x7f, 0x14, 0xa9, 0xc2, 0xce, 0xa5, 0x18, 0x73}, [16]uint8{0x0, 0x5b, 0xb6, 0xed, 0x71, 0x2a, 0xc7, 0x9c, 0xe2, 0xb9, 0x54, 0xf, 0x93, 0xc8, 0x25, 0x7e}, [16]uint8{0x0, 0x4b, 0x96, 0xdd, 0x31, 0x7a, 0xa7, 0xec, 0x62, 0x29, 0xf4, 0xbf, 0x53, 0x18, 0xc5, 0x8e}} - -// galMultiply multiplies to elements of the field. -// Uses lookup table ~40% faster -func galMultiply(a, b byte) byte { - return mulTable[a][b] -} - -// Original function: -/* -// galMultiply multiplies to elements of the field. -func galMultiply(a, b byte) byte { - if a == 0 || b == 0 { - return 0 - } - logA := int(logTable[a]) - logB := int(logTable[b]) - return expTable[logA+logB] -} -*/ - -// galDivide is inverse of galMultiply. -func galDivide(a, b byte) byte { - if a == 0 { - return 0 - } - if b == 0 { - panic("Argument 'divisor' is 0") - } - logA := int(logTable[a]) - logB := int(logTable[b]) - logResult := logA - logB - if logResult < 0 { - logResult += 255 - } - return expTable[logResult] -} - -// Computes a**n. -// -// The result will be the same as multiplying a times itself n times. -func galExp(a byte, n int) byte { - if n == 0 { - return 1 - } - if a == 0 { - return 0 - } - - logA := logTable[a] - logResult := int(logA) * n - for logResult >= 255 { - logResult -= 255 - } - return byte(expTable[logResult]) -} diff --git a/vendor/github.com/xtaci/reedsolomon/galois_amd64.go b/vendor/github.com/xtaci/reedsolomon/galois_amd64.go deleted file mode 100644 index e4d686e7a..000000000 --- a/vendor/github.com/xtaci/reedsolomon/galois_amd64.go +++ /dev/null @@ -1,77 +0,0 @@ -//+build !noasm -//+build !appengine - -// Copyright 2015, Klaus Post, see LICENSE for details. - -package reedsolomon - -import ( - "github.com/klauspost/cpuid" -) - -//go:noescape -func galMulSSSE3(low, high, in, out []byte) - -//go:noescape -func galMulSSSE3Xor(low, high, in, out []byte) - -//go:noescape -func galMulAVX2Xor(low, high, in, out []byte) - -//go:noescape -func galMulAVX2(low, high, in, out []byte) - -// This is what the assembler rountes does in blocks of 16 bytes: -/* -func galMulSSSE3(low, high, in, out []byte) { - for n, input := range in { - l := input & 0xf - h := input >> 4 - out[n] = low[l] ^ high[h] - } -} - -func galMulSSSE3Xor(low, high, in, out []byte) { - for n, input := range in { - l := input & 0xf - h := input >> 4 - out[n] ^= low[l] ^ high[h] - } -} -*/ - -func galMulSlice(c byte, in, out []byte) { - var done int - if cpuid.CPU.AVX2() { - galMulAVX2(mulTableLow[c][:], mulTableHigh[c][:], in, out) - done = (len(in) >> 5) << 5 - } else if cpuid.CPU.SSSE3() { - galMulSSSE3(mulTableLow[c][:], mulTableHigh[c][:], in, out) - done = (len(in) >> 4) << 4 - } - remain := len(in) - done - if remain > 0 { - mt := mulTable[c] - for i := done; i < len(in); i++ { - out[i] = mt[in[i]] - } - } -} - -func galMulSliceXor(c byte, in, out []byte) { - var done int - if cpuid.CPU.AVX2() { - galMulAVX2Xor(mulTableLow[c][:], mulTableHigh[c][:], in, out) - done = (len(in) >> 5) << 5 - } else if cpuid.CPU.SSSE3() { - galMulSSSE3Xor(mulTableLow[c][:], mulTableHigh[c][:], in, out) - done = (len(in) >> 4) << 4 - } - remain := len(in) - done - if remain > 0 { - mt := mulTable[c] - for i := done; i < len(in); i++ { - out[i] ^= mt[in[i]] - } - } -} diff --git a/vendor/github.com/xtaci/reedsolomon/galois_amd64.s b/vendor/github.com/xtaci/reedsolomon/galois_amd64.s deleted file mode 100644 index b20338a93..000000000 --- a/vendor/github.com/xtaci/reedsolomon/galois_amd64.s +++ /dev/null @@ -1,164 +0,0 @@ -//+build !noasm !appengine - -// Copyright 2015, Klaus Post, see LICENSE for details. - -// Based on http://www.snia.org/sites/default/files2/SDC2013/presentations/NewThinking/EthanMiller_Screaming_Fast_Galois_Field%20Arithmetic_SIMD%20Instructions.pdf -// and http://jerasure.org/jerasure/gf-complete/tree/master - -// func galMulSSSE3Xor(low, high, in, out []byte) -TEXT ·galMulSSSE3Xor(SB), 7, $0 - MOVQ low+0(FP), SI // SI: &low - MOVQ high+24(FP), DX // DX: &high - MOVOU (SI), X6 // X6 low - MOVOU (DX), X7 // X7: high - MOVQ $15, BX // BX: low mask - MOVQ BX, X8 - PXOR X5, X5 - MOVQ in+48(FP), SI // R11: &in - MOVQ in_len+56(FP), R9 // R9: len(in) - MOVQ out+72(FP), DX // DX: &out - PSHUFB X5, X8 // X8: lomask (unpacked) - SHRQ $4, R9 // len(in) / 16 - CMPQ R9, $0 - JEQ done_xor - -loopback_xor: - MOVOU (SI), X0 // in[x] - MOVOU (DX), X4 // out[x] - MOVOU X0, X1 // in[x] - MOVOU X6, X2 // low copy - MOVOU X7, X3 // high copy - PSRLQ $4, X1 // X1: high input - PAND X8, X0 // X0: low input - PAND X8, X1 // X0: high input - PSHUFB X0, X2 // X2: mul low part - PSHUFB X1, X3 // X3: mul high part - PXOR X2, X3 // X3: Result - PXOR X4, X3 // X3: Result xor existing out - MOVOU X3, (DX) // Store - ADDQ $16, SI // in+=16 - ADDQ $16, DX // out+=16 - SUBQ $1, R9 - JNZ loopback_xor - -done_xor: - RET - -// func galMulSSSE3(low, high, in, out []byte) -TEXT ·galMulSSSE3(SB), 7, $0 - MOVQ low+0(FP), SI // SI: &low - MOVQ high+24(FP), DX // DX: &high - MOVOU (SI), X6 // X6 low - MOVOU (DX), X7 // X7: high - MOVQ $15, BX // BX: low mask - MOVQ BX, X8 - PXOR X5, X5 - MOVQ in+48(FP), SI // R11: &in - MOVQ in_len+56(FP), R9 // R9: len(in) - MOVQ out+72(FP), DX // DX: &out - PSHUFB X5, X8 // X8: lomask (unpacked) - SHRQ $4, R9 // len(in) / 16 - CMPQ R9, $0 - JEQ done - -loopback: - MOVOU (SI), X0 // in[x] - MOVOU X0, X1 // in[x] - MOVOU X6, X2 // low copy - MOVOU X7, X3 // high copy - PSRLQ $4, X1 // X1: high input - PAND X8, X0 // X0: low input - PAND X8, X1 // X0: high input - PSHUFB X0, X2 // X2: mul low part - PSHUFB X1, X3 // X3: mul high part - PXOR X2, X3 // X3: Result - MOVOU X3, (DX) // Store - ADDQ $16, SI // in+=16 - ADDQ $16, DX // out+=16 - SUBQ $1, R9 - JNZ loopback - -done: - RET - -// func galMulAVX2Xor(low, high, in, out []byte) -TEXT ·galMulAVX2Xor(SB), 7, $0 - MOVQ low+0(FP), SI // SI: &low - MOVQ high+24(FP), DX // DX: &high - MOVQ $15, BX // BX: low mask - MOVQ BX, X5 - MOVOU (SI), X6 // X6 low - MOVOU (DX), X7 // X7: high - MOVQ in_len+56(FP), R9 // R9: len(in) - - LONG $0x384de3c4; WORD $0x01f6 // VINSERTI128 YMM6, YMM6, XMM6, 1 ; low - LONG $0x3845e3c4; WORD $0x01ff // VINSERTI128 YMM7, YMM7, XMM7, 1 ; high - LONG $0x787d62c4; BYTE $0xc5 // VPBROADCASTB YMM8, XMM5 ; X8: lomask (unpacked) - - SHRQ $5, R9 // len(in) /32 - MOVQ out+72(FP), DX // DX: &out - MOVQ in+48(FP), SI // R11: &in - TESTQ R9, R9 - JZ done_xor_avx2 - -loopback_xor_avx2: - LONG $0x066ffec5 // VMOVDQU YMM0, [rsi] - LONG $0x226ffec5 // VMOVDQU YMM4, [rdx] - LONG $0xd073f5c5; BYTE $0x04 // VPSRLQ YMM1, YMM0, 4 ; X1: high input - LONG $0xdb7dc1c4; BYTE $0xc0 // VPAND YMM0, YMM0, YMM8 ; X0: low input - LONG $0xdb75c1c4; BYTE $0xc8 // VPAND YMM1, YMM1, YMM8 ; X1: high input - LONG $0x004de2c4; BYTE $0xd0 // VPSHUFB YMM2, YMM6, YMM0 ; X2: mul low part - LONG $0x0045e2c4; BYTE $0xd9 // VPSHUFB YMM3, YMM7, YMM1 ; X2: mul high part - LONG $0xdbefedc5 // VPXOR YMM3, YMM2, YMM3 ; X3: Result - LONG $0xe4efe5c5 // VPXOR YMM4, YMM3, YMM4 ; X4: Result - LONG $0x227ffec5 // VMOVDQU [rdx], YMM4 - - ADDQ $32, SI // in+=32 - ADDQ $32, DX // out+=32 - SUBQ $1, R9 - JNZ loopback_xor_avx2 - -done_xor_avx2: - // VZEROUPPER - BYTE $0xc5; BYTE $0xf8; BYTE $0x77 - RET - -// func galMulAVX2(low, high, in, out []byte) -TEXT ·galMulAVX2(SB), 7, $0 - MOVQ low+0(FP), SI // SI: &low - MOVQ high+24(FP), DX // DX: &high - MOVQ $15, BX // BX: low mask - MOVQ BX, X5 - MOVOU (SI), X6 // X6 low - MOVOU (DX), X7 // X7: high - MOVQ in_len+56(FP), R9 // R9: len(in) - - LONG $0x384de3c4; WORD $0x01f6 // VINSERTI128 YMM6, YMM6, XMM6, 1 ; low - LONG $0x3845e3c4; WORD $0x01ff // VINSERTI128 YMM7, YMM7, XMM7, 1 ; high - LONG $0x787d62c4; BYTE $0xc5 // VPBROADCASTB YMM8, XMM5 ; X8: lomask (unpacked) - - SHRQ $5, R9 // len(in) /32 - MOVQ out+72(FP), DX // DX: &out - MOVQ in+48(FP), SI // R11: &in - TESTQ R9, R9 - JZ done_avx2 - -loopback_avx2: - LONG $0x066ffec5 // VMOVDQU YMM0, [rsi] - LONG $0xd073f5c5; BYTE $0x04 // VPSRLQ YMM1, YMM0, 4 ; X1: high input - LONG $0xdb7dc1c4; BYTE $0xc0 // VPAND YMM0, YMM0, YMM8 ; X0: low input - LONG $0xdb75c1c4; BYTE $0xc8 // VPAND YMM1, YMM1, YMM8 ; X1: high input - LONG $0x004de2c4; BYTE $0xd0 // VPSHUFB YMM2, YMM6, YMM0 ; X2: mul low part - LONG $0x0045e2c4; BYTE $0xd9 // VPSHUFB YMM3, YMM7, YMM1 ; X2: mul high part - LONG $0xe3efedc5 // VPXOR YMM4, YMM2, YMM3 ; X4: Result - LONG $0x227ffec5 // VMOVDQU [rdx], YMM4 - - ADDQ $32, SI // in+=32 - ADDQ $32, DX // out+=32 - SUBQ $1, R9 - JNZ loopback_avx2 - -done_avx2: - - BYTE $0xc5; BYTE $0xf8; BYTE $0x77 // VZEROUPPER - RET diff --git a/vendor/github.com/xtaci/reedsolomon/galois_noasm.go b/vendor/github.com/xtaci/reedsolomon/galois_noasm.go deleted file mode 100644 index 1c6b8c4da..000000000 --- a/vendor/github.com/xtaci/reedsolomon/galois_noasm.go +++ /dev/null @@ -1,19 +0,0 @@ -//+build !amd64 noasm appengine - -// Copyright 2015, Klaus Post, see LICENSE for details. - -package reedsolomon - -func galMulSlice(c byte, in, out []byte) { - mt := mulTable[c] - for n, input := range in { - out[n] = mt[input] - } -} - -func galMulSliceXor(c byte, in, out []byte) { - mt := mulTable[c] - for n, input := range in { - out[n] ^= mt[input] - } -} diff --git a/vendor/github.com/xtaci/reedsolomon/gentables.go b/vendor/github.com/xtaci/reedsolomon/gentables.go deleted file mode 100644 index 843aadebc..000000000 --- a/vendor/github.com/xtaci/reedsolomon/gentables.go +++ /dev/null @@ -1,132 +0,0 @@ -//+build ignore - -package main - -import ( - "fmt" -) - -var logTable = [fieldSize]int16{ - -1, 0, 1, 25, 2, 50, 26, 198, - 3, 223, 51, 238, 27, 104, 199, 75, - 4, 100, 224, 14, 52, 141, 239, 129, - 28, 193, 105, 248, 200, 8, 76, 113, - 5, 138, 101, 47, 225, 36, 15, 33, - 53, 147, 142, 218, 240, 18, 130, 69, - 29, 181, 194, 125, 106, 39, 249, 185, - 201, 154, 9, 120, 77, 228, 114, 166, - 6, 191, 139, 98, 102, 221, 48, 253, - 226, 152, 37, 179, 16, 145, 34, 136, - 54, 208, 148, 206, 143, 150, 219, 189, - 241, 210, 19, 92, 131, 56, 70, 64, - 30, 66, 182, 163, 195, 72, 126, 110, - 107, 58, 40, 84, 250, 133, 186, 61, - 202, 94, 155, 159, 10, 21, 121, 43, - 78, 212, 229, 172, 115, 243, 167, 87, - 7, 112, 192, 247, 140, 128, 99, 13, - 103, 74, 222, 237, 49, 197, 254, 24, - 227, 165, 153, 119, 38, 184, 180, 124, - 17, 68, 146, 217, 35, 32, 137, 46, - 55, 63, 209, 91, 149, 188, 207, 205, - 144, 135, 151, 178, 220, 252, 190, 97, - 242, 86, 211, 171, 20, 42, 93, 158, - 132, 60, 57, 83, 71, 109, 65, 162, - 31, 45, 67, 216, 183, 123, 164, 118, - 196, 23, 73, 236, 127, 12, 111, 246, - 108, 161, 59, 82, 41, 157, 85, 170, - 251, 96, 134, 177, 187, 204, 62, 90, - 203, 89, 95, 176, 156, 169, 160, 81, - 11, 245, 22, 235, 122, 117, 44, 215, - 79, 174, 213, 233, 230, 231, 173, 232, - 116, 214, 244, 234, 168, 80, 88, 175, -} - -const ( - // The number of elements in the field. - fieldSize = 256 - - // The polynomial used to generate the logarithm table. - // - // There are a number of polynomials that work to generate - // a Galois field of 256 elements. The choice is arbitrary, - // and we just use the first one. - // - // The possibilities are: 29, 43, 45, 77, 95, 99, 101, 105, - //* 113, 135, 141, 169, 195, 207, 231, and 245. - generatingPolynomial = 29 -) - -func main() { - t := generateExpTable() - fmt.Printf("var expTable = %#v\n", t) - //t2 := generateMulTableSplit(t) - //fmt.Printf("var mulTable = %#v\n", t2) - low, high := generateMulTableHalf(t) - fmt.Printf("var mulTableLow = %#v\n", low) - fmt.Printf("var mulTableHigh = %#v\n", high) -} - -/** - * Generates the inverse log table. - */ -func generateExpTable() []byte { - result := make([]byte, fieldSize*2-2) - for i := 1; i < fieldSize; i++ { - log := logTable[i] - result[log] = byte(i) - result[log+fieldSize-1] = byte(i) - } - return result -} - -func generateMulTable(expTable []byte) []byte { - result := make([]byte, 256*256) - for v := range result { - a := byte(v & 0xff) - b := byte(v >> 8) - if a == 0 || b == 0 { - result[v] = 0 - continue - } - logA := int(logTable[a]) - logB := int(logTable[b]) - result[v] = expTable[logA+logB] - } - return result -} - -func generateMulTableSplit(expTable []byte) [256][256]byte { - var result [256][256]byte - for a := range result { - for b := range result[a] { - if a == 0 || b == 0 { - result[a][b] = 0 - continue - } - logA := int(logTable[a]) - logB := int(logTable[b]) - result[a][b] = expTable[logA+logB] - } - } - return result -} - -func generateMulTableHalf(expTable []byte) (low [256][16]byte, high [256][16]byte) { - for a := range low { - for b := range low { - result := 0 - if !(a == 0 || b == 0) { - logA := int(logTable[a]) - logB := int(logTable[b]) - result = int(expTable[logA+logB]) - } - if (b & 0xf) == b { - low[a][b] = byte(result) - } - if (b & 0xf0) == b { - high[a][b>>4] = byte(result) - } - } - } - return -} diff --git a/vendor/github.com/xtaci/reedsolomon/inversion_tree.go b/vendor/github.com/xtaci/reedsolomon/inversion_tree.go deleted file mode 100644 index c9d8ab2e7..000000000 --- a/vendor/github.com/xtaci/reedsolomon/inversion_tree.go +++ /dev/null @@ -1,160 +0,0 @@ -/** - * A thread-safe tree which caches inverted matrices. - * - * Copyright 2016, Peter Collins - */ - -package reedsolomon - -import ( - "errors" - "sync" -) - -// The tree uses a Reader-Writer mutex to make it thread-safe -// when accessing cached matrices and inserting new ones. -type inversionTree struct { - mutex *sync.RWMutex - root inversionNode -} - -type inversionNode struct { - matrix matrix - children []*inversionNode -} - -// newInversionTree initializes a tree for storing inverted matrices. -// Note that the root node is the identity matrix as it implies -// there were no errors with the original data. -func newInversionTree(dataShards, parityShards int) inversionTree { - identity, _ := identityMatrix(dataShards) - root := inversionNode{ - matrix: identity, - children: make([]*inversionNode, dataShards+parityShards), - } - return inversionTree{ - mutex: &sync.RWMutex{}, - root: root, - } -} - -// GetInvertedMatrix returns the cached inverted matrix or nil if it -// is not found in the tree keyed on the indices of invalid rows. -func (t inversionTree) GetInvertedMatrix(invalidIndices []int) matrix { - // Lock the tree for reading before accessing the tree. - t.mutex.RLock() - defer t.mutex.RUnlock() - - // If no invalid indices were give we should return the root - // identity matrix. - if len(invalidIndices) == 0 { - return t.root.matrix - } - - // Recursively search for the inverted matrix in the tree, passing in - // 0 as the parent index as we start at the root of the tree. - return t.root.getInvertedMatrix(invalidIndices, 0) -} - -// errAlreadySet is returned if the root node matrix is overwritten -var errAlreadySet = errors.New("the root node identity matrix is already set") - -// InsertInvertedMatrix inserts a new inverted matrix into the tree -// keyed by the indices of invalid rows. The total number of shards -// is required for creating the proper length lists of child nodes for -// each node. -func (t inversionTree) InsertInvertedMatrix(invalidIndices []int, matrix matrix, shards int) error { - // If no invalid indices were given then we are done because the - // root node is already set with the identity matrix. - if len(invalidIndices) == 0 { - return errAlreadySet - } - - if !matrix.IsSquare() { - return errNotSquare - } - - // Lock the tree for writing and reading before accessing the tree. - t.mutex.Lock() - defer t.mutex.Unlock() - - // Recursively create nodes for the inverted matrix in the tree until - // we reach the node to insert the matrix to. We start by passing in - // 0 as the parent index as we start at the root of the tree. - t.root.insertInvertedMatrix(invalidIndices, matrix, shards, 0) - - return nil -} - -func (n inversionNode) getInvertedMatrix(invalidIndices []int, parent int) matrix { - // Get the child node to search next from the list of children. The - // list of children starts relative to the parent index passed in - // because the indices of invalid rows is sorted (by default). As we - // search recursively, the first invalid index gets popped off the list, - // so when searching through the list of children, use that first invalid - // index to find the child node. - firstIndex := invalidIndices[0] - node := n.children[firstIndex-parent] - - // If the child node doesn't exist in the list yet, fail fast by - // returning, so we can construct and insert the proper inverted matrix. - if node == nil { - return nil - } - - // If there's more than one invalid index left in the list we should - // keep searching recursively. - if len(invalidIndices) > 1 { - // Search recursively on the child node by passing in the invalid indices - // with the first index popped off the front. Also the parent index to - // pass down is the first index plus one. - return node.getInvertedMatrix(invalidIndices[1:], firstIndex+1) - } - // If there aren't any more invalid indices to search, we've found our - // node. Return it, however keep in mind that the matrix could still be - // nil because intermediary nodes in the tree are created sometimes with - // their inversion matrices uninitialized. - return node.matrix -} - -func (n inversionNode) insertInvertedMatrix(invalidIndices []int, matrix matrix, shards, parent int) { - // As above, get the child node to search next from the list of children. - // The list of children starts relative to the parent index passed in - // because the indices of invalid rows is sorted (by default). As we - // search recursively, the first invalid index gets popped off the list, - // so when searching through the list of children, use that first invalid - // index to find the child node. - firstIndex := invalidIndices[0] - node := n.children[firstIndex-parent] - - // If the child node doesn't exist in the list yet, create a new - // node because we have the writer lock and add it to the list - // of children. - if node == nil { - // Make the length of the list of children equal to the number - // of shards minus the first invalid index because the list of - // invalid indices is sorted, so only this length of errors - // are possible in the tree. - node = &inversionNode{ - children: make([]*inversionNode, shards-firstIndex), - } - // Insert the new node into the tree at the first index relative - // to the parent index that was given in this recursive call. - n.children[firstIndex-parent] = node - } - - // If there's more than one invalid index left in the list we should - // keep searching recursively in order to find the node to add our - // matrix. - if len(invalidIndices) > 1 { - // As above, search recursively on the child node by passing in - // the invalid indices with the first index popped off the front. - // Also the total number of shards and parent index are passed down - // which is equal to the first index plus one. - node.insertInvertedMatrix(invalidIndices[1:], matrix, shards, firstIndex+1) - } else { - // If there aren't any more invalid indices to search, we've found our - // node. Cache the inverted matrix in this node. - node.matrix = matrix - } -} diff --git a/vendor/github.com/xtaci/reedsolomon/matrix.go b/vendor/github.com/xtaci/reedsolomon/matrix.go deleted file mode 100644 index e942ead94..000000000 --- a/vendor/github.com/xtaci/reedsolomon/matrix.go +++ /dev/null @@ -1,279 +0,0 @@ -/** - * Matrix Algebra over an 8-bit Galois Field - * - * Copyright 2015, Klaus Post - * Copyright 2015, Backblaze, Inc. - */ - -package reedsolomon - -import ( - "errors" - "fmt" - "strconv" - "strings" -) - -// byte[row][col] -type matrix [][]byte - -// newMatrix returns a matrix of zeros. -func newMatrix(rows, cols int) (matrix, error) { - if rows <= 0 { - return nil, errInvalidRowSize - } - if cols <= 0 { - return nil, errInvalidColSize - } - - m := matrix(make([][]byte, rows)) - for i := range m { - m[i] = make([]byte, cols) - } - return m, nil -} - -// NewMatrixData initializes a matrix with the given row-major data. -// Note that data is not copied from input. -func newMatrixData(data [][]byte) (matrix, error) { - m := matrix(data) - err := m.Check() - if err != nil { - return nil, err - } - return m, nil -} - -// IdentityMatrix returns an identity matrix of the given size. -func identityMatrix(size int) (matrix, error) { - m, err := newMatrix(size, size) - if err != nil { - return nil, err - } - for i := range m { - m[i][i] = 1 - } - return m, nil -} - -// errInvalidRowSize will be returned if attempting to create a matrix with negative or zero row number. -var errInvalidRowSize = errors.New("invalid row size") - -// errInvalidColSize will be returned if attempting to create a matrix with negative or zero column number. -var errInvalidColSize = errors.New("invalid column size") - -// errColSizeMismatch is returned if the size of matrix columns mismatch. -var errColSizeMismatch = errors.New("column size is not the same for all rows") - -func (m matrix) Check() error { - rows := len(m) - if rows <= 0 { - return errInvalidRowSize - } - cols := len(m[0]) - if cols <= 0 { - return errInvalidColSize - } - - for _, col := range m { - if len(col) != cols { - return errColSizeMismatch - } - } - return nil -} - -// String returns a human-readable string of the matrix contents. -// -// Example: [[1, 2], [3, 4]] -func (m matrix) String() string { - rowOut := make([]string, 0, len(m)) - for _, row := range m { - colOut := make([]string, 0, len(row)) - for _, col := range row { - colOut = append(colOut, strconv.Itoa(int(col))) - } - rowOut = append(rowOut, "["+strings.Join(colOut, ", ")+"]") - } - return "[" + strings.Join(rowOut, ", ") + "]" -} - -// Multiply multiplies this matrix (the one on the left) by another -// matrix (the one on the right) and returns a new matrix with the result. -func (m matrix) Multiply(right matrix) (matrix, error) { - if len(m[0]) != len(right) { - return nil, fmt.Errorf("columns on left (%d) is different than rows on right (%d)", len(m[0]), len(right)) - } - result, _ := newMatrix(len(m), len(right[0])) - for r, row := range result { - for c := range row { - var value byte - for i := range m[0] { - value ^= galMultiply(m[r][i], right[i][c]) - } - result[r][c] = value - } - } - return result, nil -} - -// Augment returns the concatenation of this matrix and the matrix on the right. -func (m matrix) Augment(right matrix) (matrix, error) { - if len(m) != len(right) { - return nil, errMatrixSize - } - - result, _ := newMatrix(len(m), len(m[0])+len(right[0])) - for r, row := range m { - for c := range row { - result[r][c] = m[r][c] - } - cols := len(m[0]) - for c := range right[0] { - result[r][cols+c] = right[r][c] - } - } - return result, nil -} - -// errMatrixSize is returned if matrix dimensions are doesn't match. -var errMatrixSize = errors.New("matrix sizes does not match") - -func (m matrix) SameSize(n matrix) error { - if len(m) != len(n) { - return errMatrixSize - } - for i := range m { - if len(m[i]) != len(n[i]) { - return errMatrixSize - } - } - return nil -} - -// Returns a part of this matrix. Data is copied. -func (m matrix) SubMatrix(rmin, cmin, rmax, cmax int) (matrix, error) { - result, err := newMatrix(rmax-rmin, cmax-cmin) - if err != nil { - return nil, err - } - // OPTME: If used heavily, use copy function to copy slice - for r := rmin; r < rmax; r++ { - for c := cmin; c < cmax; c++ { - result[r-rmin][c-cmin] = m[r][c] - } - } - return result, nil -} - -// SwapRows Exchanges two rows in the matrix. -func (m matrix) SwapRows(r1, r2 int) error { - if r1 < 0 || len(m) <= r1 || r2 < 0 || len(m) <= r2 { - return errInvalidRowSize - } - m[r2], m[r1] = m[r1], m[r2] - return nil -} - -// IsSquare will return true if the matrix is square -// and nil if the matrix is square -func (m matrix) IsSquare() bool { - return len(m) == len(m[0]) -} - -// errSingular is returned if the matrix is singular and cannot be inversed -var errSingular = errors.New("matrix is singular") - -// errNotSquare is returned if attempting to inverse a non-square matrix. -var errNotSquare = errors.New("only square matrices can be inverted") - -// Invert returns the inverse of this matrix. -// Returns ErrSingular when the matrix is singular and doesn't have an inverse. -// The matrix must be square, otherwise ErrNotSquare is returned. -func (m matrix) Invert() (matrix, error) { - if !m.IsSquare() { - return nil, errNotSquare - } - - size := len(m) - work, _ := identityMatrix(size) - work, _ = m.Augment(work) - - err := work.gaussianElimination() - if err != nil { - return nil, err - } - - return work.SubMatrix(0, size, size, size*2) -} - -func (m matrix) gaussianElimination() error { - rows := len(m) - columns := len(m[0]) - // Clear out the part below the main diagonal and scale the main - // diagonal to be 1. - for r := 0; r < rows; r++ { - // If the element on the diagonal is 0, find a row below - // that has a non-zero and swap them. - if m[r][r] == 0 { - for rowBelow := r + 1; rowBelow < rows; rowBelow++ { - if m[rowBelow][r] != 0 { - m.SwapRows(r, rowBelow) - break - } - } - } - // If we couldn't find one, the matrix is singular. - if m[r][r] == 0 { - return errSingular - } - // Scale to 1. - if m[r][r] != 1 { - scale := galDivide(1, m[r][r]) - for c := 0; c < columns; c++ { - m[r][c] = galMultiply(m[r][c], scale) - } - } - // Make everything below the 1 be a 0 by subtracting - // a multiple of it. (Subtraction and addition are - // both exclusive or in the Galois field.) - for rowBelow := r + 1; rowBelow < rows; rowBelow++ { - if m[rowBelow][r] != 0 { - scale := m[rowBelow][r] - for c := 0; c < columns; c++ { - m[rowBelow][c] ^= galMultiply(scale, m[r][c]) - } - } - } - } - - // Now clear the part above the main diagonal. - for d := 0; d < rows; d++ { - for rowAbove := 0; rowAbove < d; rowAbove++ { - if m[rowAbove][d] != 0 { - scale := m[rowAbove][d] - for c := 0; c < columns; c++ { - m[rowAbove][c] ^= galMultiply(scale, m[d][c]) - } - - } - } - } - return nil -} - -// Create a Vandermonde matrix, which is guaranteed to have the -// property that any subset of rows that forms a square matrix -// is invertible. -func vandermonde(rows, cols int) (matrix, error) { - result, err := newMatrix(rows, cols) - if err != nil { - return nil, err - } - for r, row := range result { - for c := range row { - result[r][c] = galExp(byte(r), c) - } - } - return result, nil -} diff --git a/vendor/github.com/xtaci/reedsolomon/reedsolomon.go b/vendor/github.com/xtaci/reedsolomon/reedsolomon.go deleted file mode 100644 index 451e58697..000000000 --- a/vendor/github.com/xtaci/reedsolomon/reedsolomon.go +++ /dev/null @@ -1,573 +0,0 @@ -/** - * Reed-Solomon Coding over 8-bit values. - * - * Copyright 2015, Klaus Post - * Copyright 2015, Backblaze, Inc. - */ - -// Package reedsolomon enables Erasure Coding in Go -// -// For usage and examples, see https://github.com/klauspost/reedsolomon -// -package reedsolomon - -import ( - "bytes" - "errors" - "io" - "runtime" - "sync" -) - -// Encoder is an interface to encode Reed-Salomon parity sets for your data. -type Encoder interface { - // Encodes parity for a set of data shards. - // Input is 'shards' containing data shards followed by parity shards. - // The number of shards must match the number given to New(). - // Each shard is a byte array, and they must all be the same size. - // The parity shards will always be overwritten and the data shards - // will remain the same, so it is safe for you to read from the - // data shards while this is running. - Encode(shards [][]byte) error - - // Verify returns true if the parity shards contain correct data. - // The data is the same format as Encode. No data is modified, so - // you are allowed to read from data while this is running. - Verify(shards [][]byte) (bool, error) - - // Reconstruct will recreate the missing shards if possible. - // - // Given a list of shards, some of which contain data, fills in the - // ones that don't have data. - // - // The length of the array must be equal to the total number of shards. - // You indicate that a shard is missing by setting it to nil. - // - // If there are too few shards to reconstruct the missing - // ones, ErrTooFewShards will be returned. - // - // The reconstructed shard set is complete, but integrity is not verified. - // Use the Verify function to check if data set is ok. - Reconstruct(shards [][]byte) error - - // Split a data slice into the number of shards given to the encoder, - // and create empty parity shards. - // - // The data will be split into equally sized shards. - // If the data size isn't dividable by the number of shards, - // the last shard will contain extra zeros. - // - // There must be at least 1 byte otherwise ErrShortData will be - // returned. - // - // The data will not be copied, except for the last shard, so you - // should not modify the data of the input slice afterwards. - Split(data []byte) ([][]byte, error) - - // Join the shards and write the data segment to dst. - // - // Only the data shards are considered. - // You must supply the exact output size you want. - // If there are to few shards given, ErrTooFewShards will be returned. - // If the total data size is less than outSize, ErrShortData will be returned. - Join(dst io.Writer, shards [][]byte, outSize int) error -} - -// reedSolomon contains a matrix for a specific -// distribution of datashards and parity shards. -// Construct if using New() -type reedSolomon struct { - DataShards int // Number of data shards, should not be modified. - ParityShards int // Number of parity shards, should not be modified. - Shards int // Total number of shards. Calculated, and should not be modified. - m matrix - tree inversionTree - parity [][]byte -} - -// ErrInvShardNum will be returned by New, if you attempt to create -// an Encoder where either data or parity shards is zero or less. -var ErrInvShardNum = errors.New("cannot create Encoder with zero or less data/parity shards") - -// ErrMaxShardNum will be returned by New, if you attempt to create -// an Encoder where data and parity shards cannot be bigger than -// Galois field GF(2^8) - 1. -var ErrMaxShardNum = errors.New("cannot create Encoder with 255 or more data+parity shards") - -// New creates a new encoder and initializes it to -// the number of data shards and parity shards that -// you want to use. You can reuse this encoder. -// Note that the maximum number of data shards is 256. -func New(dataShards, parityShards int) (Encoder, error) { - r := reedSolomon{ - DataShards: dataShards, - ParityShards: parityShards, - Shards: dataShards + parityShards, - } - - if dataShards <= 0 || parityShards <= 0 { - return nil, ErrInvShardNum - } - - if dataShards+parityShards > 255 { - return nil, ErrMaxShardNum - } - - // Start with a Vandermonde matrix. This matrix would work, - // in theory, but doesn't have the property that the data - // shards are unchanged after encoding. - vm, err := vandermonde(r.Shards, dataShards) - if err != nil { - return nil, err - } - - // Multiply by the inverse of the top square of the matrix. - // This will make the top square be the identity matrix, but - // preserve the property that any square subset of rows is - // invertible. - top, _ := vm.SubMatrix(0, 0, dataShards, dataShards) - top, _ = top.Invert() - r.m, _ = vm.Multiply(top) - - // Inverted matrices are cached in a tree keyed by the indices - // of the invalid rows of the data to reconstruct. - // The inversion root node will have the identity matrix as - // its inversion matrix because it implies there are no errors - // with the original data. - r.tree = newInversionTree(dataShards, parityShards) - - r.parity = make([][]byte, parityShards) - for i := range r.parity { - r.parity[i] = r.m[dataShards+i] - } - - return &r, err -} - -// ErrTooFewShards is returned if too few shards where given to -// Encode/Verify/Reconstruct. It will also be returned from Reconstruct -// if there were too few shards to reconstruct the missing data. -var ErrTooFewShards = errors.New("too few shards given") - -// Encodes parity for a set of data shards. -// An array 'shards' containing data shards followed by parity shards. -// The number of shards must match the number given to New. -// Each shard is a byte array, and they must all be the same size. -// The parity shards will always be overwritten and the data shards -// will remain the same. -func (r reedSolomon) Encode(shards [][]byte) error { - if len(shards) != r.Shards { - return ErrTooFewShards - } - - err := checkShards(shards, false) - if err != nil { - return err - } - - // Get the slice of output buffers. - output := shards[r.DataShards:] - - // Do the coding. - r.codeSomeShards(r.parity, shards[0:r.DataShards], output, r.ParityShards, len(shards[0])) - return nil -} - -// Verify returns true if the parity shards contain the right data. -// The data is the same format as Encode. No data is modified. -func (r reedSolomon) Verify(shards [][]byte) (bool, error) { - if len(shards) != r.Shards { - return false, ErrTooFewShards - } - err := checkShards(shards, false) - if err != nil { - return false, err - } - - // Slice of buffers being checked. - toCheck := shards[r.DataShards:] - - // Do the checking. - return r.checkSomeShards(r.parity, shards[0:r.DataShards], toCheck, r.ParityShards, len(shards[0])), nil -} - -// Multiplies a subset of rows from a coding matrix by a full set of -// input shards to produce some output shards. -// 'matrixRows' is The rows from the matrix to use. -// 'inputs' An array of byte arrays, each of which is one input shard. -// The number of inputs used is determined by the length of each matrix row. -// outputs Byte arrays where the computed shards are stored. -// The number of outputs computed, and the -// number of matrix rows used, is determined by -// outputCount, which is the number of outputs to compute. -func (r reedSolomon) codeSomeShards(matrixRows, inputs, outputs [][]byte, outputCount, byteCount int) { - if runtime.GOMAXPROCS(0) > 1 && len(inputs[0]) > minSplitSize { - r.codeSomeShardsP(matrixRows, inputs, outputs, outputCount, byteCount) - return - } - for c := 0; c < r.DataShards; c++ { - in := inputs[c] - for iRow := 0; iRow < outputCount; iRow++ { - if c == 0 { - galMulSlice(matrixRows[iRow][c], in, outputs[iRow]) - } else { - galMulSliceXor(matrixRows[iRow][c], in, outputs[iRow]) - } - } - } -} - -const ( - minSplitSize = 65536 // min split size per goroutine - maxGoroutines = 50 // max goroutines number for encoding & decoding -) - -// Perform the same as codeSomeShards, but split the workload into -// several goroutines. -func (r reedSolomon) codeSomeShardsP(matrixRows, inputs, outputs [][]byte, outputCount, byteCount int) { - var wg sync.WaitGroup - do := byteCount / maxGoroutines - if do < minSplitSize { - do = minSplitSize - } - start := 0 - for start < byteCount { - if start+do > byteCount { - do = byteCount - start - } - wg.Add(1) - go func(start, stop int) { - for c := 0; c < r.DataShards; c++ { - in := inputs[c] - for iRow := 0; iRow < outputCount; iRow++ { - if c == 0 { - galMulSlice(matrixRows[iRow][c], in[start:stop], outputs[iRow][start:stop]) - } else { - galMulSliceXor(matrixRows[iRow][c], in[start:stop], outputs[iRow][start:stop]) - } - } - } - wg.Done() - }(start, start+do) - start += do - } - wg.Wait() -} - -// checkSomeShards is mostly the same as codeSomeShards, -// except this will check values and return -// as soon as a difference is found. -func (r reedSolomon) checkSomeShards(matrixRows, inputs, toCheck [][]byte, outputCount, byteCount int) bool { - same := true - var mu sync.RWMutex // For above - - var wg sync.WaitGroup - do := byteCount / maxGoroutines - if do < minSplitSize { - do = minSplitSize - } - start := 0 - for start < byteCount { - if start+do > byteCount { - do = byteCount - start - } - wg.Add(1) - go func(start, do int) { - defer wg.Done() - outputs := make([][]byte, len(toCheck)) - for i := range outputs { - outputs[i] = make([]byte, do) - } - for c := 0; c < r.DataShards; c++ { - mu.RLock() - if !same { - mu.RUnlock() - return - } - mu.RUnlock() - in := inputs[c][start : start+do] - for iRow := 0; iRow < outputCount; iRow++ { - galMulSliceXor(matrixRows[iRow][c], in, outputs[iRow]) - } - } - - for i, calc := range outputs { - if !bytes.Equal(calc, toCheck[i][start:start+do]) { - mu.Lock() - same = false - mu.Unlock() - return - } - } - }(start, do) - start += do - } - wg.Wait() - return same -} - -// ErrShardNoData will be returned if there are no shards, -// or if the length of all shards is zero. -var ErrShardNoData = errors.New("no shard data") - -// ErrShardSize is returned if shard length isn't the same for all -// shards. -var ErrShardSize = errors.New("shard sizes does not match") - -// checkShards will check if shards are the same size -// or 0, if allowed. An error is returned if this fails. -// An error is also returned if all shards are size 0. -func checkShards(shards [][]byte, nilok bool) error { - size := shardSize(shards) - if size == 0 { - return ErrShardNoData - } - for _, shard := range shards { - if len(shard) != size { - if len(shard) != 0 || !nilok { - return ErrShardSize - } - } - } - return nil -} - -// shardSize return the size of a single shard. -// The first non-zero size is returned, -// or 0 if all shards are size 0. -func shardSize(shards [][]byte) int { - for _, shard := range shards { - if len(shard) != 0 { - return len(shard) - } - } - return 0 -} - -// Reconstruct will recreate the missing shards, if possible. -// -// Given a list of shards, some of which contain data, fills in the -// ones that don't have data. -// -// The length of the array must be equal to Shards. -// You indicate that a shard is missing by setting it to nil. -// -// If there are too few shards to reconstruct the missing -// ones, ErrTooFewShards will be returned. -// -// The reconstructed shard set is complete, but integrity is not verified. -// Use the Verify function to check if data set is ok. -func (r reedSolomon) Reconstruct(shards [][]byte) error { - if len(shards) != r.Shards { - return ErrTooFewShards - } - // Check arguments. - err := checkShards(shards, true) - if err != nil { - return err - } - - shardSize := shardSize(shards) - - // Quick check: are all of the shards present? If so, there's - // nothing to do. - numberPresent := 0 - for i := 0; i < r.Shards; i++ { - if len(shards[i]) != 0 { - numberPresent++ - } - } - if numberPresent == r.Shards { - // Cool. All of the shards data data. We don't - // need to do anything. - return nil - } - - // More complete sanity check - if numberPresent < r.DataShards { - return ErrTooFewShards - } - - // Pull out an array holding just the shards that - // correspond to the rows of the submatrix. These shards - // will be the input to the decoding process that re-creates - // the missing data shards. - // - // Also, create an array of indices of the valid rows we do have - // and the invalid rows we don't have up until we have enough valid rows. - subShards := make([][]byte, r.DataShards) - validIndices := make([]int, r.DataShards) - invalidIndices := make([]int, 0) - subMatrixRow := 0 - for matrixRow := 0; matrixRow < r.Shards && subMatrixRow < r.DataShards; matrixRow++ { - if len(shards[matrixRow]) != 0 { - subShards[subMatrixRow] = shards[matrixRow] - validIndices[subMatrixRow] = matrixRow - subMatrixRow++ - } else { - invalidIndices = append(invalidIndices, matrixRow) - } - } - - // Attempt to get the cached inverted matrix out of the tree - // based on the indices of the invalid rows. - dataDecodeMatrix := r.tree.GetInvertedMatrix(invalidIndices) - - // If the inverted matrix isn't cached in the tree yet we must - // construct it ourselves and insert it into the tree for the - // future. In this way the inversion tree is lazily loaded. - if dataDecodeMatrix == nil { - // Pull out the rows of the matrix that correspond to the - // shards that we have and build a square matrix. This - // matrix could be used to generate the shards that we have - // from the original data. - subMatrix, _ := newMatrix(r.DataShards, r.DataShards) - for subMatrixRow, validIndex := range validIndices { - for c := 0; c < r.DataShards; c++ { - subMatrix[subMatrixRow][c] = r.m[validIndex][c] - } - } - // Invert the matrix, so we can go from the encoded shards - // back to the original data. Then pull out the row that - // generates the shard that we want to decode. Note that - // since this matrix maps back to the original data, it can - // be used to create a data shard, but not a parity shard. - dataDecodeMatrix, err = subMatrix.Invert() - if err != nil { - return err - } - - // Cache the inverted matrix in the tree for future use keyed on the - // indices of the invalid rows. - err = r.tree.InsertInvertedMatrix(invalidIndices, dataDecodeMatrix, r.Shards) - if err != nil { - return err - } - } - - // Re-create any data shards that were missing. - // - // The input to the coding is all of the shards we actually - // have, and the output is the missing data shards. The computation - // is done using the special decode matrix we just built. - outputs := make([][]byte, r.ParityShards) - matrixRows := make([][]byte, r.ParityShards) - outputCount := 0 - - for iShard := 0; iShard < r.DataShards; iShard++ { - if len(shards[iShard]) == 0 { - shards[iShard] = make([]byte, shardSize) - outputs[outputCount] = shards[iShard] - matrixRows[outputCount] = dataDecodeMatrix[iShard] - outputCount++ - } - } - r.codeSomeShards(matrixRows, subShards, outputs[:outputCount], outputCount, shardSize) - - // Now that we have all of the data shards intact, we can - // compute any of the parity that is missing. - // - // The input to the coding is ALL of the data shards, including - // any that we just calculated. The output is whichever of the - // data shards were missing. - outputCount = 0 - for iShard := r.DataShards; iShard < r.Shards; iShard++ { - if len(shards[iShard]) == 0 { - shards[iShard] = make([]byte, shardSize) - outputs[outputCount] = shards[iShard] - matrixRows[outputCount] = r.parity[iShard-r.DataShards] - outputCount++ - } - } - r.codeSomeShards(matrixRows, shards[:r.DataShards], outputs[:outputCount], outputCount, shardSize) - return nil -} - -// ErrShortData will be returned by Split(), if there isn't enough data -// to fill the number of shards. -var ErrShortData = errors.New("not enough data to fill the number of requested shards") - -// Split a data slice into the number of shards given to the encoder, -// and create empty parity shards. -// -// The data will be split into equally sized shards. -// If the data size isn't divisible by the number of shards, -// the last shard will contain extra zeros. -// -// There must be at least 1 byte otherwise ErrShortData will be -// returned. -// -// The data will not be copied, except for the last shard, so you -// should not modify the data of the input slice afterwards. -func (r reedSolomon) Split(data []byte) ([][]byte, error) { - if len(data) == 0 { - return nil, ErrShortData - } - // Calculate number of bytes per shard. - perShard := (len(data) + r.DataShards - 1) / r.DataShards - - // Pad data to r.Shards*perShard. - padding := make([]byte, (r.Shards*perShard)-len(data)) - data = append(data, padding...) - - // Split into equal-length shards. - dst := make([][]byte, r.Shards) - for i := range dst { - dst[i] = data[:perShard] - data = data[perShard:] - } - - return dst, nil -} - -// ErrReconstructRequired is returned if too few data shards are intact and a -// reconstruction is required before you can successfully join the shards. -var ErrReconstructRequired = errors.New("reconstruction required as one or more required data shards are nil") - -// Join the shards and write the data segment to dst. -// -// Only the data shards are considered. -// You must supply the exact output size you want. -// -// If there are to few shards given, ErrTooFewShards will be returned. -// If the total data size is less than outSize, ErrShortData will be returned. -// If one or more required data shards are nil, ErrReconstructRequired will be returned. -func (r reedSolomon) Join(dst io.Writer, shards [][]byte, outSize int) error { - // Do we have enough shards? - if len(shards) < r.DataShards { - return ErrTooFewShards - } - shards = shards[:r.DataShards] - - // Do we have enough data? - size := 0 - for _, shard := range shards { - if shard == nil { - return ErrReconstructRequired - } - size += len(shard) - - // Do we have enough data already? - if size >= outSize { - break - } - } - if size < outSize { - return ErrShortData - } - - // Copy data to dst - write := outSize - for _, shard := range shards { - if write < len(shard) { - _, err := dst.Write(shard[:write]) - return err - } - n, err := dst.Write(shard) - if err != nil { - return err - } - write -= n - } - return nil -} diff --git a/vendor/github.com/xtaci/reedsolomon/streaming.go b/vendor/github.com/xtaci/reedsolomon/streaming.go deleted file mode 100644 index 293a8b129..000000000 --- a/vendor/github.com/xtaci/reedsolomon/streaming.go +++ /dev/null @@ -1,575 +0,0 @@ -/** - * Reed-Solomon Coding over 8-bit values. - * - * Copyright 2015, Klaus Post - * Copyright 2015, Backblaze, Inc. - */ - -package reedsolomon - -import ( - "bytes" - "errors" - "fmt" - "io" - "sync" -) - -// StreamEncoder is an interface to encode Reed-Salomon parity sets for your data. -// It provides a fully streaming interface, and processes data in blocks of up to 4MB. -// -// For small shard sizes, 10MB and below, it is recommended to use the in-memory interface, -// since the streaming interface has a start up overhead. -// -// For all operations, no readers and writers should not assume any order/size of -// individual reads/writes. -// -// For usage examples, see "stream-encoder.go" and "streamdecoder.go" in the examples -// folder. -type StreamEncoder interface { - // Encodes parity shards for a set of data shards. - // - // Input is 'shards' containing readers for data shards followed by parity shards - // io.Writer. - // - // The number of shards must match the number given to NewStream(). - // - // Each reader must supply the same number of bytes. - // - // The parity shards will be written to the writer. - // The number of bytes written will match the input size. - // - // If a data stream returns an error, a StreamReadError type error - // will be returned. If a parity writer returns an error, a - // StreamWriteError will be returned. - Encode(data []io.Reader, parity []io.Writer) error - - // Verify returns true if the parity shards contain correct data. - // - // The number of shards must match the number total data+parity shards - // given to NewStream(). - // - // Each reader must supply the same number of bytes. - // If a shard stream returns an error, a StreamReadError type error - // will be returned. - Verify(shards []io.Reader) (bool, error) - - // Reconstruct will recreate the missing shards if possible. - // - // Given a list of valid shards (to read) and invalid shards (to write) - // - // You indicate that a shard is missing by setting it to nil in the 'valid' - // slice and at the same time setting a non-nil writer in "fill". - // An index cannot contain both non-nil 'valid' and 'fill' entry. - // If both are provided 'ErrReconstructMismatch' is returned. - // - // If there are too few shards to reconstruct the missing - // ones, ErrTooFewShards will be returned. - // - // The reconstructed shard set is complete, but integrity is not verified. - // Use the Verify function to check if data set is ok. - Reconstruct(valid []io.Reader, fill []io.Writer) error - - // Split a an input stream into the number of shards given to the encoder. - // - // The data will be split into equally sized shards. - // If the data size isn't dividable by the number of shards, - // the last shard will contain extra zeros. - // - // You must supply the total size of your input. - // 'ErrShortData' will be returned if it is unable to retrieve the - // number of bytes indicated. - Split(data io.Reader, dst []io.Writer, size int64) (err error) - - // Join the shards and write the data segment to dst. - // - // Only the data shards are considered. - // - // You must supply the exact output size you want. - // If there are to few shards given, ErrTooFewShards will be returned. - // If the total data size is less than outSize, ErrShortData will be returned. - Join(dst io.Writer, shards []io.Reader, outSize int64) error -} - -// StreamReadError is returned when a read error is encountered -// that relates to a supplied stream. -// This will allow you to find out which reader has failed. -type StreamReadError struct { - Err error // The error - Stream int // The stream number on which the error occurred -} - -// Error returns the error as a string -func (s StreamReadError) Error() string { - return fmt.Sprintf("error reading stream %d: %s", s.Stream, s.Err) -} - -// String returns the error as a string -func (s StreamReadError) String() string { - return s.Error() -} - -// StreamWriteError is returned when a write error is encountered -// that relates to a supplied stream. This will allow you to -// find out which reader has failed. -type StreamWriteError struct { - Err error // The error - Stream int // The stream number on which the error occurred -} - -// Error returns the error as a string -func (s StreamWriteError) Error() string { - return fmt.Sprintf("error writing stream %d: %s", s.Stream, s.Err) -} - -// String returns the error as a string -func (s StreamWriteError) String() string { - return s.Error() -} - -// rsStream contains a matrix for a specific -// distribution of datashards and parity shards. -// Construct if using NewStream() -type rsStream struct { - r *reedSolomon - bs int // Block size - // Shard reader - readShards func(dst [][]byte, in []io.Reader) error - // Shard writer - writeShards func(out []io.Writer, in [][]byte) error - creads bool - cwrites bool -} - -// NewStream creates a new encoder and initializes it to -// the number of data shards and parity shards that -// you want to use. You can reuse this encoder. -// Note that the maximum number of data shards is 256. -func NewStream(dataShards, parityShards int) (StreamEncoder, error) { - enc, err := New(dataShards, parityShards) - if err != nil { - return nil, err - } - rs := enc.(*reedSolomon) - r := rsStream{r: rs, bs: 4 << 20} - r.readShards = readShards - r.writeShards = writeShards - return &r, err -} - -// NewStreamC creates a new encoder and initializes it to -// the number of data shards and parity shards given. -// -// This functions as 'NewStream', but allows you to enable CONCURRENT reads and writes. -func NewStreamC(dataShards, parityShards int, conReads, conWrites bool) (StreamEncoder, error) { - enc, err := New(dataShards, parityShards) - if err != nil { - return nil, err - } - rs := enc.(*reedSolomon) - r := rsStream{r: rs, bs: 4 << 20} - r.readShards = readShards - r.writeShards = writeShards - if conReads { - r.readShards = cReadShards - } - if conWrites { - r.writeShards = cWriteShards - } - return &r, err -} - -func createSlice(n, length int) [][]byte { - out := make([][]byte, n) - for i := range out { - out[i] = make([]byte, length) - } - return out -} - -// Encodes parity shards for a set of data shards. -// -// Input is 'shards' containing readers for data shards followed by parity shards -// io.Writer. -// -// The number of shards must match the number given to NewStream(). -// -// Each reader must supply the same number of bytes. -// -// The parity shards will be written to the writer. -// The number of bytes written will match the input size. -// -// If a data stream returns an error, a StreamReadError type error -// will be returned. If a parity writer returns an error, a -// StreamWriteError will be returned. -func (r rsStream) Encode(data []io.Reader, parity []io.Writer) error { - if len(data) != r.r.DataShards { - return ErrTooFewShards - } - - if len(parity) != r.r.ParityShards { - return ErrTooFewShards - } - - all := createSlice(r.r.Shards, r.bs) - in := all[:r.r.DataShards] - out := all[r.r.DataShards:] - read := 0 - - for { - err := r.readShards(in, data) - switch err { - case nil: - case io.EOF: - if read == 0 { - return ErrShardNoData - } - return nil - default: - return err - } - out = trimShards(out, shardSize(in)) - read += shardSize(in) - err = r.r.Encode(all) - if err != nil { - return err - } - err = r.writeShards(parity, out) - if err != nil { - return err - } - } -} - -// Trim the shards so they are all the same size -func trimShards(in [][]byte, size int) [][]byte { - for i := range in { - if in[i] != nil { - in[i] = in[i][0:size] - } - if len(in[i]) < size { - in[i] = nil - } - } - return in -} - -func readShards(dst [][]byte, in []io.Reader) error { - if len(in) != len(dst) { - panic("internal error: in and dst size does not match") - } - size := -1 - for i := range in { - if in[i] == nil { - dst[i] = nil - continue - } - n, err := io.ReadFull(in[i], dst[i]) - // The error is EOF only if no bytes were read. - // If an EOF happens after reading some but not all the bytes, - // ReadFull returns ErrUnexpectedEOF. - switch err { - case io.ErrUnexpectedEOF, io.EOF: - if size < 0 { - size = n - } else if n != size { - // Shard sizes must match. - return ErrShardSize - } - dst[i] = dst[i][0:n] - case nil: - continue - default: - return StreamReadError{Err: err, Stream: i} - } - } - if size == 0 { - return io.EOF - } - return nil -} - -func writeShards(out []io.Writer, in [][]byte) error { - if len(out) != len(in) { - panic("internal error: in and out size does not match") - } - for i := range in { - if out[i] == nil { - continue - } - n, err := out[i].Write(in[i]) - if err != nil { - return StreamWriteError{Err: err, Stream: i} - } - // - if n != len(in[i]) { - return StreamWriteError{Err: io.ErrShortWrite, Stream: i} - } - } - return nil -} - -type readResult struct { - n int - size int - err error -} - -// cReadShards reads shards concurrently -func cReadShards(dst [][]byte, in []io.Reader) error { - if len(in) != len(dst) { - panic("internal error: in and dst size does not match") - } - var wg sync.WaitGroup - wg.Add(len(in)) - res := make(chan readResult, len(in)) - for i := range in { - if in[i] == nil { - dst[i] = nil - wg.Done() - continue - } - go func(i int) { - defer wg.Done() - n, err := io.ReadFull(in[i], dst[i]) - // The error is EOF only if no bytes were read. - // If an EOF happens after reading some but not all the bytes, - // ReadFull returns ErrUnexpectedEOF. - res <- readResult{size: n, err: err, n: i} - - }(i) - } - wg.Wait() - close(res) - size := -1 - for r := range res { - switch r.err { - case io.ErrUnexpectedEOF, io.EOF: - if size < 0 { - size = r.size - } else if r.size != size { - // Shard sizes must match. - return ErrShardSize - } - dst[r.n] = dst[r.n][0:r.size] - case nil: - default: - return StreamReadError{Err: r.err, Stream: r.n} - } - } - if size == 0 { - return io.EOF - } - return nil -} - -// cWriteShards writes shards concurrently -func cWriteShards(out []io.Writer, in [][]byte) error { - if len(out) != len(in) { - panic("internal error: in and out size does not match") - } - var errs = make(chan error, len(out)) - var wg sync.WaitGroup - wg.Add(len(out)) - for i := range in { - go func(i int) { - defer wg.Done() - if out[i] == nil { - errs <- nil - return - } - n, err := out[i].Write(in[i]) - if err != nil { - errs <- StreamWriteError{Err: err, Stream: i} - return - } - if n != len(in[i]) { - errs <- StreamWriteError{Err: io.ErrShortWrite, Stream: i} - } - }(i) - } - wg.Wait() - close(errs) - for err := range errs { - if err != nil { - return err - } - } - - return nil -} - -// Verify returns true if the parity shards contain correct data. -// -// The number of shards must match the number total data+parity shards -// given to NewStream(). -// -// Each reader must supply the same number of bytes. -// If a shard stream returns an error, a StreamReadError type error -// will be returned. -func (r rsStream) Verify(shards []io.Reader) (bool, error) { - if len(shards) != r.r.Shards { - return false, ErrTooFewShards - } - - read := 0 - all := createSlice(r.r.Shards, r.bs) - for { - err := r.readShards(all, shards) - if err == io.EOF { - if read == 0 { - return false, ErrShardNoData - } - return true, nil - } - if err != nil { - return false, err - } - read += shardSize(all) - ok, err := r.r.Verify(all) - if !ok || err != nil { - return ok, err - } - } -} - -// ErrReconstructMismatch is returned by the StreamEncoder, if you supply -// "valid" and "fill" streams on the same index. -// Therefore it is impossible to see if you consider the shard valid -// or would like to have it reconstructed. -var ErrReconstructMismatch = errors.New("valid shards and fill shards are mutually exclusive") - -// Reconstruct will recreate the missing shards if possible. -// -// Given a list of valid shards (to read) and invalid shards (to write) -// -// You indicate that a shard is missing by setting it to nil in the 'valid' -// slice and at the same time setting a non-nil writer in "fill". -// An index cannot contain both non-nil 'valid' and 'fill' entry. -// -// If there are too few shards to reconstruct the missing -// ones, ErrTooFewShards will be returned. -// -// The reconstructed shard set is complete, but integrity is not verified. -// Use the Verify function to check if data set is ok. -func (r rsStream) Reconstruct(valid []io.Reader, fill []io.Writer) error { - if len(valid) != r.r.Shards { - return ErrTooFewShards - } - if len(fill) != r.r.Shards { - return ErrTooFewShards - } - - all := createSlice(r.r.Shards, r.bs) - for i := range valid { - if valid[i] != nil && fill[i] != nil { - return ErrReconstructMismatch - } - } - - read := 0 - for { - err := r.readShards(all, valid) - if err == io.EOF { - if read == 0 { - return ErrShardNoData - } - return nil - } - if err != nil { - return err - } - read += shardSize(all) - all = trimShards(all, shardSize(all)) - - err = r.r.Reconstruct(all) - if err != nil { - return err - } - err = r.writeShards(fill, all) - if err != nil { - return err - } - } -} - -// Join the shards and write the data segment to dst. -// -// Only the data shards are considered. -// -// You must supply the exact output size you want. -// If there are to few shards given, ErrTooFewShards will be returned. -// If the total data size is less than outSize, ErrShortData will be returned. -func (r rsStream) Join(dst io.Writer, shards []io.Reader, outSize int64) error { - // Do we have enough shards? - if len(shards) < r.r.DataShards { - return ErrTooFewShards - } - - // Trim off parity shards if any - shards = shards[:r.r.DataShards] - for i := range shards { - if shards[i] == nil { - return StreamReadError{Err: ErrShardNoData, Stream: i} - } - } - // Join all shards - src := io.MultiReader(shards...) - - // Copy data to dst - n, err := io.CopyN(dst, src, outSize) - if err == io.EOF { - return ErrShortData - } - if err != nil { - return err - } - if n != outSize { - return ErrShortData - } - return nil -} - -// Split a an input stream into the number of shards given to the encoder. -// -// The data will be split into equally sized shards. -// If the data size isn't dividable by the number of shards, -// the last shard will contain extra zeros. -// -// You must supply the total size of your input. -// 'ErrShortData' will be returned if it is unable to retrieve the -// number of bytes indicated. -func (r rsStream) Split(data io.Reader, dst []io.Writer, size int64) error { - if size == 0 { - return ErrShortData - } - if len(dst) != r.r.DataShards { - return ErrInvShardNum - } - - for i := range dst { - if dst[i] == nil { - return StreamWriteError{Err: ErrShardNoData, Stream: i} - } - } - - // Calculate number of bytes per shard. - perShard := (size + int64(r.r.DataShards) - 1) / int64(r.r.DataShards) - - // Pad data to r.Shards*perShard. - padding := make([]byte, (int64(r.r.Shards)*perShard)-size) - data = io.MultiReader(data, bytes.NewBuffer(padding)) - - // Split into equal-length shards and copy. - for i := range dst { - n, err := io.CopyN(dst[i], data, perShard) - if err != io.EOF && err != nil { - return err - } - if n != perShard { - return ErrShortData - } - } - - return nil -} diff --git a/vendor/manifest b/vendor/manifest index b7399ad9c..4805ea189 100644 --- a/vendor/manifest +++ b/vendor/manifest @@ -238,8 +238,8 @@ { "importpath": "github.com/klauspost/reedsolomon", "repository": "https://github.com/klauspost/reedsolomon", - "vcs": "", - "revision": "d0a56f72c0d40a6cdde43a1575ad9686a0098b70", + "vcs": "git", + "revision": "5abf0ee302ccf4834e84f63ff74eca3e8b88e4e2", "branch": "master" }, { @@ -354,15 +354,7 @@ "importpath": "github.com/xtaci/kcp-go", "repository": "https://github.com/xtaci/kcp-go", "vcs": "git", - "revision": "d719435bc7494d9d2b2cc4b57c416f9e6976eeb6", - "branch": "master", - "notests": true - }, - { - "importpath": "github.com/xtaci/reedsolomon", - "repository": "https://github.com/xtaci/reedsolomon", - "vcs": "git", - "revision": "7bbd3662bdabfaafbe1552513e42a976fe7e7f55", + "revision": "0ca962cb10f29ee0735ff7dec69ec7283af47f65", "branch": "master", "notests": true },