diff --git a/lib/connections/kcp_dial.go b/lib/connections/kcp_dial.go index f10a2a47..7d1650c5 100644 --- a/lib/connections/kcp_dial.go +++ b/lib/connections/kcp_dial.go @@ -11,9 +11,9 @@ import ( "net/url" "time" - "github.com/AudriusButkevicius/kcp-go" "github.com/syncthing/syncthing/lib/config" "github.com/syncthing/syncthing/lib/protocol" + "github.com/xtaci/kcp-go" "github.com/xtaci/smux" ) diff --git a/lib/connections/kcp_listen.go b/lib/connections/kcp_listen.go index c756c6a1..fb02b1cc 100644 --- a/lib/connections/kcp_listen.go +++ b/lib/connections/kcp_listen.go @@ -15,9 +15,9 @@ import ( "sync/atomic" "time" - "github.com/AudriusButkevicius/kcp-go" "github.com/AudriusButkevicius/pfilter" "github.com/ccding/go-stun/stun" + "github.com/xtaci/kcp-go" "github.com/xtaci/smux" "github.com/syncthing/syncthing/lib/config" diff --git a/lib/connections/kcp_misc.go b/lib/connections/kcp_misc.go index 69e08698..b71441e9 100644 --- a/lib/connections/kcp_misc.go +++ b/lib/connections/kcp_misc.go @@ -15,8 +15,8 @@ import ( "sync/atomic" "time" - "github.com/AudriusButkevicius/kcp-go" "github.com/AudriusButkevicius/pfilter" + "github.com/xtaci/kcp-go" "github.com/xtaci/smux" ) diff --git a/lib/protocol/benchmark_test.go b/lib/protocol/benchmark_test.go index e2cfefc0..98de4ff5 100644 --- a/lib/protocol/benchmark_test.go +++ b/lib/protocol/benchmark_test.go @@ -8,8 +8,8 @@ import ( "net" "testing" - "github.com/AudriusButkevicius/kcp-go" "github.com/syncthing/syncthing/lib/dialer" + "github.com/xtaci/kcp-go" ) func BenchmarkRequestsRawTCP(b *testing.B) { diff --git a/vendor/github.com/klauspost/reedsolomon/LICENSE b/vendor/github.com/klauspost/reedsolomon/LICENSE new file mode 100644 index 00000000..a947e162 --- /dev/null +++ b/vendor/github.com/klauspost/reedsolomon/LICENSE @@ -0,0 +1,23 @@ +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/klauspost/reedsolomon/examples/simple-decoder.go b/vendor/github.com/klauspost/reedsolomon/examples/simple-decoder.go new file mode 100644 index 00000000..510c5ed7 --- /dev/null +++ b/vendor/github.com/klauspost/reedsolomon/examples/simple-decoder.go @@ -0,0 +1,125 @@ +//+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/klauspost/reedsolomon/examples/simple-encoder.go b/vendor/github.com/klauspost/reedsolomon/examples/simple-encoder.go new file mode 100644 index 00000000..89e3af9f --- /dev/null +++ b/vendor/github.com/klauspost/reedsolomon/examples/simple-encoder.go @@ -0,0 +1,112 @@ +//+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/klauspost/reedsolomon/examples/stream-decoder.go b/vendor/github.com/klauspost/reedsolomon/examples/stream-decoder.go new file mode 100644 index 00000000..1e27183b --- /dev/null +++ b/vendor/github.com/klauspost/reedsolomon/examples/stream-decoder.go @@ -0,0 +1,165 @@ +//+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" + + "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 { + outfn := fmt.Sprintf("%s.%d", fname, i) + fmt.Println("Creating", outfn) + out[i], err = os.Create(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/klauspost/reedsolomon/examples/stream-encoder.go b/vendor/github.com/klauspost/reedsolomon/examples/stream-encoder.go new file mode 100644 index 00000000..638fc5df --- /dev/null +++ b/vendor/github.com/klauspost/reedsolomon/examples/stream-encoder.go @@ -0,0 +1,142 @@ +//+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/klauspost/reedsolomon/galois.go b/vendor/github.com/klauspost/reedsolomon/galois.go new file mode 100644 index 00000000..2daf1862 --- /dev/null +++ b/vendor/github.com/klauspost/reedsolomon/galois.go @@ -0,0 +1,902 @@ +/** + * 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 +} + +// Table from https://github.com/templexxx/reedsolomon +var invTable = [256]byte{0x0, 0x1, 0x8e, 0xf4, 0x47, 0xa7, 0x7a, 0xba, 0xad, 0x9d, 0xdd, 0x98, 0x3d, 0xaa, 0x5d, 0x96, 0xd8, 0x72, 0xc0, 0x58, 0xe0, 0x3e, 0x4c, 0x66, 0x90, 0xde, 0x55, 0x80, 0xa0, 0x83, 0x4b, 0x2a, 0x6c, 0xed, 0x39, 0x51, 0x60, 0x56, 0x2c, 0x8a, 0x70, 0xd0, 0x1f, 0x4a, 0x26, 0x8b, 0x33, 0x6e, 0x48, 0x89, 0x6f, 0x2e, 0xa4, 0xc3, 0x40, 0x5e, 0x50, 0x22, 0xcf, 0xa9, 0xab, 0xc, 0x15, 0xe1, 0x36, 0x5f, 0xf8, 0xd5, 0x92, 0x4e, 0xa6, 0x4, 0x30, 0x88, 0x2b, 0x1e, 0x16, 0x67, 0x45, 0x93, 0x38, 0x23, 0x68, 0x8c, 0x81, 0x1a, 0x25, 0x61, 0x13, 0xc1, 0xcb, 0x63, 0x97, 0xe, 0x37, 0x41, 0x24, 0x57, 0xca, 0x5b, 0xb9, 0xc4, 0x17, 0x4d, 0x52, 0x8d, 0xef, 0xb3, 0x20, 0xec, 0x2f, 0x32, 0x28, 0xd1, 0x11, 0xd9, 0xe9, 0xfb, 0xda, 0x79, 0xdb, 0x77, 0x6, 0xbb, 0x84, 0xcd, 0xfe, 0xfc, 0x1b, 0x54, 0xa1, 0x1d, 0x7c, 0xcc, 0xe4, 0xb0, 0x49, 0x31, 0x27, 0x2d, 0x53, 0x69, 0x2, 0xf5, 0x18, 0xdf, 0x44, 0x4f, 0x9b, 0xbc, 0xf, 0x5c, 0xb, 0xdc, 0xbd, 0x94, 0xac, 0x9, 0xc7, 0xa2, 0x1c, 0x82, 0x9f, 0xc6, 0x34, 0xc2, 0x46, 0x5, 0xce, 0x3b, 0xd, 0x3c, 0x9c, 0x8, 0xbe, 0xb7, 0x87, 0xe5, 0xee, 0x6b, 0xeb, 0xf2, 0xbf, 0xaf, 0xc5, 0x64, 0x7, 0x7b, 0x95, 0x9a, 0xae, 0xb6, 0x12, 0x59, 0xa5, 0x35, 0x65, 0xb8, 0xa3, 0x9e, 0xd2, 0xf7, 0x62, 0x5a, 0x85, 0x7d, 0xa8, 0x3a, 0x29, 0x71, 0xc8, 0xf6, 0xf9, 0x43, 0xd7, 0xd6, 0x10, 0x73, 0x76, 0x78, 0x99, 0xa, 0x19, 0x91, 0x14, 0x3f, 0xe6, 0xf0, 0x86, 0xb1, 0xe2, 0xf1, 0xfa, 0x74, 0xf3, 0xb4, 0x6d, 0x21, 0xb2, 0x6a, 0xe3, 0xe7, 0xb5, 0xea, 0x3, 0x8f, 0xd3, 0xc9, 0x42, 0xd4, 0xe8, 0x75, 0x7f, 0xff, 0x7e, 0xfd} + +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}, + {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}, + {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, 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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}, + {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}, + {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}, + {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}, + {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{{0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0}, + {0x0, 0x1, 0x2, 0x3, 0x4, 0x5, 0x6, 0x7, 0x8, 0x9, 0xa, 0xb, 0xc, 0xd, 0xe, 0xf}, + {0x0, 0x2, 0x4, 0x6, 0x8, 0xa, 0xc, 0xe, 0x10, 0x12, 0x14, 0x16, 0x18, 0x1a, 0x1c, 0x1e}, + {0x0, 0x3, 0x6, 0x5, 0xc, 0xf, 0xa, 0x9, 0x18, 0x1b, 0x1e, 0x1d, 0x14, 0x17, 0x12, 0x11}, + {0x0, 0x4, 0x8, 0xc, 0x10, 0x14, 0x18, 0x1c, 0x20, 0x24, 0x28, 0x2c, 0x30, 0x34, 0x38, 0x3c}, + 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0x6d, 0x67, 0xb7, 0xda, 0xa, 0xce, 0x1e, 0x73, 0xa3, 0xa9, 0x79, 0x14, 0xc4}, + {0x0, 0xd1, 0xbf, 0x6e, 0x63, 0xb2, 0xdc, 0xd, 0xc6, 0x17, 0x79, 0xa8, 0xa5, 0x74, 0x1a, 0xcb}, + {0x0, 0xd2, 0xb9, 0x6b, 0x6f, 0xbd, 0xd6, 0x4, 0xde, 0xc, 0x67, 0xb5, 0xb1, 0x63, 0x8, 0xda}, + {0x0, 0xd3, 0xbb, 0x68, 0x6b, 0xb8, 0xd0, 0x3, 0xd6, 0x5, 0x6d, 0xbe, 0xbd, 0x6e, 0x6, 0xd5}, + {0x0, 0xd4, 0xb5, 0x61, 0x77, 0xa3, 0xc2, 0x16, 0xee, 0x3a, 0x5b, 0x8f, 0x99, 0x4d, 0x2c, 0xf8}, + {0x0, 0xd5, 0xb7, 0x62, 0x73, 0xa6, 0xc4, 0x11, 0xe6, 0x33, 0x51, 0x84, 0x95, 0x40, 0x22, 0xf7}, + {0x0, 0xd6, 0xb1, 0x67, 0x7f, 0xa9, 0xce, 0x18, 0xfe, 0x28, 0x4f, 0x99, 0x81, 0x57, 0x30, 0xe6}, + {0x0, 0xd7, 0xb3, 0x64, 0x7b, 0xac, 0xc8, 0x1f, 0xf6, 0x21, 0x45, 0x92, 0x8d, 0x5a, 0x3e, 0xe9}, + {0x0, 0xd8, 0xad, 0x75, 0x47, 0x9f, 0xea, 0x32, 0x8e, 0x56, 0x23, 0xfb, 0xc9, 0x11, 0x64, 0xbc}, + {0x0, 0xd9, 0xaf, 0x76, 0x43, 0x9a, 0xec, 0x35, 0x86, 0x5f, 0x29, 0xf0, 0xc5, 0x1c, 0x6a, 0xb3}, + {0x0, 0xda, 0xa9, 0x73, 0x4f, 0x95, 0xe6, 0x3c, 0x9e, 0x44, 0x37, 0xed, 0xd1, 0xb, 0x78, 0xa2}, + {0x0, 0xdb, 0xab, 0x70, 0x4b, 0x90, 0xe0, 0x3b, 0x96, 0x4d, 0x3d, 0xe6, 0xdd, 0x6, 0x76, 0xad}, + {0x0, 0xdc, 0xa5, 0x79, 0x57, 0x8b, 0xf2, 0x2e, 0xae, 0x72, 0xb, 0xd7, 0xf9, 0x25, 0x5c, 0x80}, + {0x0, 0xdd, 0xa7, 0x7a, 0x53, 0x8e, 0xf4, 0x29, 0xa6, 0x7b, 0x1, 0xdc, 0xf5, 0x28, 0x52, 0x8f}, + {0x0, 0xde, 0xa1, 0x7f, 0x5f, 0x81, 0xfe, 0x20, 0xbe, 0x60, 0x1f, 0xc1, 0xe1, 0x3f, 0x40, 0x9e}, + {0x0, 0xdf, 0xa3, 0x7c, 0x5b, 0x84, 0xf8, 0x27, 0xb6, 0x69, 0x15, 0xca, 0xed, 0x32, 0x4e, 0x91}, + {0x0, 0xe0, 0xdd, 0x3d, 0xa7, 0x47, 0x7a, 0x9a, 0x53, 0xb3, 0x8e, 0x6e, 0xf4, 0x14, 0x29, 0xc9}, + {0x0, 0xe1, 0xdf, 0x3e, 0xa3, 0x42, 0x7c, 0x9d, 0x5b, 0xba, 0x84, 0x65, 0xf8, 0x19, 0x27, 0xc6}, + {0x0, 0xe2, 0xd9, 0x3b, 0xaf, 0x4d, 0x76, 0x94, 0x43, 0xa1, 0x9a, 0x78, 0xec, 0xe, 0x35, 0xd7}, + {0x0, 0xe3, 0xdb, 0x38, 0xab, 0x48, 0x70, 0x93, 0x4b, 0xa8, 0x90, 0x73, 0xe0, 0x3, 0x3b, 0xd8}, + {0x0, 0xe4, 0xd5, 0x31, 0xb7, 0x53, 0x62, 0x86, 0x73, 0x97, 0xa6, 0x42, 0xc4, 0x20, 0x11, 0xf5}, + {0x0, 0xe5, 0xd7, 0x32, 0xb3, 0x56, 0x64, 0x81, 0x7b, 0x9e, 0xac, 0x49, 0xc8, 0x2d, 0x1f, 0xfa}, + {0x0, 0xe6, 0xd1, 0x37, 0xbf, 0x59, 0x6e, 0x88, 0x63, 0x85, 0xb2, 0x54, 0xdc, 0x3a, 0xd, 0xeb}, + {0x0, 0xe7, 0xd3, 0x34, 0xbb, 0x5c, 0x68, 0x8f, 0x6b, 0x8c, 0xb8, 0x5f, 0xd0, 0x37, 0x3, 0xe4}, + {0x0, 0xe8, 0xcd, 0x25, 0x87, 0x6f, 0x4a, 0xa2, 0x13, 0xfb, 0xde, 0x36, 0x94, 0x7c, 0x59, 0xb1}, + {0x0, 0xe9, 0xcf, 0x26, 0x83, 0x6a, 0x4c, 0xa5, 0x1b, 0xf2, 0xd4, 0x3d, 0x98, 0x71, 0x57, 0xbe}, + {0x0, 0xea, 0xc9, 0x23, 0x8f, 0x65, 0x46, 0xac, 0x3, 0xe9, 0xca, 0x20, 0x8c, 0x66, 0x45, 0xaf}, + {0x0, 0xeb, 0xcb, 0x20, 0x8b, 0x60, 0x40, 0xab, 0xb, 0xe0, 0xc0, 0x2b, 0x80, 0x6b, 0x4b, 0xa0}, + {0x0, 0xec, 0xc5, 0x29, 0x97, 0x7b, 0x52, 0xbe, 0x33, 0xdf, 0xf6, 0x1a, 0xa4, 0x48, 0x61, 0x8d}, + {0x0, 0xed, 0xc7, 0x2a, 0x93, 0x7e, 0x54, 0xb9, 0x3b, 0xd6, 0xfc, 0x11, 0xa8, 0x45, 0x6f, 0x82}, + {0x0, 0xee, 0xc1, 0x2f, 0x9f, 0x71, 0x5e, 0xb0, 0x23, 0xcd, 0xe2, 0xc, 0xbc, 0x52, 0x7d, 0x93}, + {0x0, 0xef, 0xc3, 0x2c, 0x9b, 0x74, 0x58, 0xb7, 0x2b, 0xc4, 0xe8, 0x7, 0xb0, 0x5f, 0x73, 0x9c}, + {0x0, 0xf0, 0xfd, 0xd, 0xe7, 0x17, 0x1a, 0xea, 0xd3, 0x23, 0x2e, 0xde, 0x34, 0xc4, 0xc9, 0x39}, + {0x0, 0xf1, 0xff, 0xe, 0xe3, 0x12, 0x1c, 0xed, 0xdb, 0x2a, 0x24, 0xd5, 0x38, 0xc9, 0xc7, 0x36}, + {0x0, 0xf2, 0xf9, 0xb, 0xef, 0x1d, 0x16, 0xe4, 0xc3, 0x31, 0x3a, 0xc8, 0x2c, 0xde, 0xd5, 0x27}, + {0x0, 0xf3, 0xfb, 0x8, 0xeb, 0x18, 0x10, 0xe3, 0xcb, 0x38, 0x30, 0xc3, 0x20, 0xd3, 0xdb, 0x28}, + {0x0, 0xf4, 0xf5, 0x1, 0xf7, 0x3, 0x2, 0xf6, 0xf3, 0x7, 0x6, 0xf2, 0x4, 0xf0, 0xf1, 0x5}, + {0x0, 0xf5, 0xf7, 0x2, 0xf3, 0x6, 0x4, 0xf1, 0xfb, 0xe, 0xc, 0xf9, 0x8, 0xfd, 0xff, 0xa}, + {0x0, 0xf6, 0xf1, 0x7, 0xff, 0x9, 0xe, 0xf8, 0xe3, 0x15, 0x12, 0xe4, 0x1c, 0xea, 0xed, 0x1b}, + {0x0, 0xf7, 0xf3, 0x4, 0xfb, 0xc, 0x8, 0xff, 0xeb, 0x1c, 0x18, 0xef, 0x10, 0xe7, 0xe3, 0x14}, + {0x0, 0xf8, 0xed, 0x15, 0xc7, 0x3f, 0x2a, 0xd2, 0x93, 0x6b, 0x7e, 0x86, 0x54, 0xac, 0xb9, 0x41}, + {0x0, 0xf9, 0xef, 0x16, 0xc3, 0x3a, 0x2c, 0xd5, 0x9b, 0x62, 0x74, 0x8d, 0x58, 0xa1, 0xb7, 0x4e}, + {0x0, 0xfa, 0xe9, 0x13, 0xcf, 0x35, 0x26, 0xdc, 0x83, 0x79, 0x6a, 0x90, 0x4c, 0xb6, 0xa5, 0x5f}, + {0x0, 0xfb, 0xeb, 0x10, 0xcb, 0x30, 0x20, 0xdb, 0x8b, 0x70, 0x60, 0x9b, 0x40, 0xbb, 0xab, 0x50}, + {0x0, 0xfc, 0xe5, 0x19, 0xd7, 0x2b, 0x32, 0xce, 0xb3, 0x4f, 0x56, 0xaa, 0x64, 0x98, 0x81, 0x7d}, + {0x0, 0xfd, 0xe7, 0x1a, 0xd3, 0x2e, 0x34, 0xc9, 0xbb, 0x46, 0x5c, 0xa1, 0x68, 0x95, 0x8f, 0x72}, + {0x0, 0xfe, 0xe1, 0x1f, 0xdf, 0x21, 0x3e, 0xc0, 0xa3, 0x5d, 0x42, 0xbc, 0x7c, 0x82, 0x9d, 0x63}, + {0x0, 0xff, 0xe3, 0x1c, 0xdb, 0x24, 0x38, 0xc7, 0xab, 0x54, 0x48, 0xb7, 0x70, 0x8f, 0x93, 0x6c}} +var mulTableHigh = [256][16]uint8{{0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0}, + {0x0, 0x10, 0x20, 0x30, 0x40, 0x50, 0x60, 0x70, 0x80, 0x90, 0xa0, 0xb0, 0xc0, 0xd0, 0xe0, 0xf0}, + {0x0, 0x20, 0x40, 0x60, 0x80, 0xa0, 0xc0, 0xe0, 0x1d, 0x3d, 0x5d, 0x7d, 0x9d, 0xbd, 0xdd, 0xfd}, + {0x0, 0x30, 0x60, 0x50, 0xc0, 0xf0, 0xa0, 0x90, 0x9d, 0xad, 0xfd, 0xcd, 0x5d, 0x6d, 0x3d, 0xd}, + {0x0, 0x40, 0x80, 0xc0, 0x1d, 0x5d, 0x9d, 0xdd, 0x3a, 0x7a, 0xba, 0xfa, 0x27, 0x67, 0xa7, 0xe7}, + {0x0, 0x50, 0xa0, 0xf0, 0x5d, 0xd, 0xfd, 0xad, 0xba, 0xea, 0x1a, 0x4a, 0xe7, 0xb7, 0x47, 0x17}, + {0x0, 0x60, 0xc0, 0xa0, 0x9d, 0xfd, 0x5d, 0x3d, 0x27, 0x47, 0xe7, 0x87, 0xba, 0xda, 0x7a, 0x1a}, + {0x0, 0x70, 0xe0, 0x90, 0xdd, 0xad, 0x3d, 0x4d, 0xa7, 0xd7, 0x47, 0x37, 0x7a, 0xa, 0x9a, 0xea}, + {0x0, 0x80, 0x1d, 0x9d, 0x3a, 0xba, 0x27, 0xa7, 0x74, 0xf4, 0x69, 0xe9, 0x4e, 0xce, 0x53, 0xd3}, + {0x0, 0x90, 0x3d, 0xad, 0x7a, 0xea, 0x47, 0xd7, 0xf4, 0x64, 0xc9, 0x59, 0x8e, 0x1e, 0xb3, 0x23}, + {0x0, 0xa0, 0x5d, 0xfd, 0xba, 0x1a, 0xe7, 0x47, 0x69, 0xc9, 0x34, 0x94, 0xd3, 0x73, 0x8e, 0x2e}, + {0x0, 0xb0, 0x7d, 0xcd, 0xfa, 0x4a, 0x87, 0x37, 0xe9, 0x59, 0x94, 0x24, 0x13, 0xa3, 0x6e, 0xde}, + {0x0, 0xc0, 0x9d, 0x5d, 0x27, 0xe7, 0xba, 0x7a, 0x4e, 0x8e, 0xd3, 0x13, 0x69, 0xa9, 0xf4, 0x34}, + {0x0, 0xd0, 0xbd, 0x6d, 0x67, 0xb7, 0xda, 0xa, 0xce, 0x1e, 0x73, 0xa3, 0xa9, 0x79, 0x14, 0xc4}, + {0x0, 0xe0, 0xdd, 0x3d, 0xa7, 0x47, 0x7a, 0x9a, 0x53, 0xb3, 0x8e, 0x6e, 0xf4, 0x14, 0x29, 0xc9}, + {0x0, 0xf0, 0xfd, 0xd, 0xe7, 0x17, 0x1a, 0xea, 0xd3, 0x23, 0x2e, 0xde, 0x34, 0xc4, 0xc9, 0x39}, + {0x0, 0x1d, 0x3a, 0x27, 0x74, 0x69, 0x4e, 0x53, 0xe8, 0xf5, 0xd2, 0xcf, 0x9c, 0x81, 0xa6, 0xbb}, + {0x0, 0xd, 0x1a, 0x17, 0x34, 0x39, 0x2e, 0x23, 0x68, 0x65, 0x72, 0x7f, 0x5c, 0x51, 0x46, 0x4b}, + {0x0, 0x3d, 0x7a, 0x47, 0xf4, 0xc9, 0x8e, 0xb3, 0xf5, 0xc8, 0x8f, 0xb2, 0x1, 0x3c, 0x7b, 0x46}, + {0x0, 0x2d, 0x5a, 0x77, 0xb4, 0x99, 0xee, 0xc3, 0x75, 0x58, 0x2f, 0x2, 0xc1, 0xec, 0x9b, 0xb6}, + {0x0, 0x5d, 0xba, 0xe7, 0x69, 0x34, 0xd3, 0x8e, 0xd2, 0x8f, 0x68, 0x35, 0xbb, 0xe6, 0x1, 0x5c}, + {0x0, 0x4d, 0x9a, 0xd7, 0x29, 0x64, 0xb3, 0xfe, 0x52, 0x1f, 0xc8, 0x85, 0x7b, 0x36, 0xe1, 0xac}, + {0x0, 0x7d, 0xfa, 0x87, 0xe9, 0x94, 0x13, 0x6e, 0xcf, 0xb2, 0x35, 0x48, 0x26, 0x5b, 0xdc, 0xa1}, + {0x0, 0x6d, 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0xd3, 0x66, 0xe0, 0x77, 0xf1}, + {0x0, 0x96, 0x31, 0xa7, 0x62, 0xf4, 0x53, 0xc5, 0xc4, 0x52, 0xf5, 0x63, 0xa6, 0x30, 0x97, 0x1}, + {0x0, 0xe6, 0xd1, 0x37, 0xbf, 0x59, 0x6e, 0x88, 0x63, 0x85, 0xb2, 0x54, 0xdc, 0x3a, 0xd, 0xeb}, + {0x0, 0xf6, 0xf1, 0x7, 0xff, 0x9, 0xe, 0xf8, 0xe3, 0x15, 0x12, 0xe4, 0x1c, 0xea, 0xed, 0x1b}, + {0x0, 0xc6, 0x91, 0x57, 0x3f, 0xf9, 0xae, 0x68, 0x7e, 0xb8, 0xef, 0x29, 0x41, 0x87, 0xd0, 0x16}, + {0x0, 0xd6, 0xb1, 0x67, 0x7f, 0xa9, 0xce, 0x18, 0xfe, 0x28, 0x4f, 0x99, 0x81, 0x57, 0x30, 0xe6}, + {0x0, 0x26, 0x4c, 0x6a, 0x98, 0xbe, 0xd4, 0xf2, 0x2d, 0xb, 0x61, 0x47, 0xb5, 0x93, 0xf9, 0xdf}, + {0x0, 0x36, 0x6c, 0x5a, 0xd8, 0xee, 0xb4, 0x82, 0xad, 0x9b, 0xc1, 0xf7, 0x75, 0x43, 0x19, 0x2f}, + {0x0, 0x6, 0xc, 0xa, 0x18, 0x1e, 0x14, 0x12, 0x30, 0x36, 0x3c, 0x3a, 0x28, 0x2e, 0x24, 0x22}, + {0x0, 0x16, 0x2c, 0x3a, 0x58, 0x4e, 0x74, 0x62, 0xb0, 0xa6, 0x9c, 0x8a, 0xe8, 0xfe, 0xc4, 0xd2}, + {0x0, 0x66, 0xcc, 0xaa, 0x85, 0xe3, 0x49, 0x2f, 0x17, 0x71, 0xdb, 0xbd, 0x92, 0xf4, 0x5e, 0x38}, + {0x0, 0x76, 0xec, 0x9a, 0xc5, 0xb3, 0x29, 0x5f, 0x97, 0xe1, 0x7b, 0xd, 0x52, 0x24, 0xbe, 0xc8}, + {0x0, 0x46, 0x8c, 0xca, 0x5, 0x43, 0x89, 0xcf, 0xa, 0x4c, 0x86, 0xc0, 0xf, 0x49, 0x83, 0xc5}, + {0x0, 0x56, 0xac, 0xfa, 0x45, 0x13, 0xe9, 0xbf, 0x8a, 0xdc, 0x26, 0x70, 0xcf, 0x99, 0x63, 0x35}, + {0x0, 0xbb, 0x6b, 0xd0, 0xd6, 0x6d, 0xbd, 0x6, 0xb1, 0xa, 0xda, 0x61, 0x67, 0xdc, 0xc, 0xb7}, + {0x0, 0xab, 0x4b, 0xe0, 0x96, 0x3d, 0xdd, 0x76, 0x31, 0x9a, 0x7a, 0xd1, 0xa7, 0xc, 0xec, 0x47}, + {0x0, 0x9b, 0x2b, 0xb0, 0x56, 0xcd, 0x7d, 0xe6, 0xac, 0x37, 0x87, 0x1c, 0xfa, 0x61, 0xd1, 0x4a}, + {0x0, 0x8b, 0xb, 0x80, 0x16, 0x9d, 0x1d, 0x96, 0x2c, 0xa7, 0x27, 0xac, 0x3a, 0xb1, 0x31, 0xba}, + {0x0, 0xfb, 0xeb, 0x10, 0xcb, 0x30, 0x20, 0xdb, 0x8b, 0x70, 0x60, 0x9b, 0x40, 0xbb, 0xab, 0x50}, + {0x0, 0xeb, 0xcb, 0x20, 0x8b, 0x60, 0x40, 0xab, 0xb, 0xe0, 0xc0, 0x2b, 0x80, 0x6b, 0x4b, 0xa0}, + {0x0, 0xdb, 0xab, 0x70, 0x4b, 0x90, 0xe0, 0x3b, 0x96, 0x4d, 0x3d, 0xe6, 0xdd, 0x6, 0x76, 0xad}, + {0x0, 0xcb, 0x8b, 0x40, 0xb, 0xc0, 0x80, 0x4b, 0x16, 0xdd, 0x9d, 0x56, 0x1d, 0xd6, 0x96, 0x5d}, + {0x0, 0x3b, 0x76, 0x4d, 0xec, 0xd7, 0x9a, 0xa1, 0xc5, 0xfe, 0xb3, 0x88, 0x29, 0x12, 0x5f, 0x64}, + {0x0, 0x2b, 0x56, 0x7d, 0xac, 0x87, 0xfa, 0xd1, 0x45, 0x6e, 0x13, 0x38, 0xe9, 0xc2, 0xbf, 0x94}, + {0x0, 0x1b, 0x36, 0x2d, 0x6c, 0x77, 0x5a, 0x41, 0xd8, 0xc3, 0xee, 0xf5, 0xb4, 0xaf, 0x82, 0x99}, + {0x0, 0xb, 0x16, 0x1d, 0x2c, 0x27, 0x3a, 0x31, 0x58, 0x53, 0x4e, 0x45, 0x74, 0x7f, 0x62, 0x69}, + {0x0, 0x7b, 0xf6, 0x8d, 0xf1, 0x8a, 0x7, 0x7c, 0xff, 0x84, 0x9, 0x72, 0xe, 0x75, 0xf8, 0x83}, + {0x0, 0x6b, 0xd6, 0xbd, 0xb1, 0xda, 0x67, 0xc, 0x7f, 0x14, 0xa9, 0xc2, 0xce, 0xa5, 0x18, 0x73}, + {0x0, 0x5b, 0xb6, 0xed, 0x71, 0x2a, 0xc7, 0x9c, 0xe2, 0xb9, 0x54, 0xf, 0x93, 0xc8, 0x25, 0x7e}, + {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/klauspost/reedsolomon/galois_amd64.go b/vendor/github.com/klauspost/reedsolomon/galois_amd64.go new file mode 100644 index 00000000..aeebdbb7 --- /dev/null +++ b/vendor/github.com/klauspost/reedsolomon/galois_amd64.go @@ -0,0 +1,91 @@ +//+build !noasm +//+build !appengine + +// Copyright 2015, Klaus Post, see LICENSE for details. + +package reedsolomon + +//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) + +//go:noescape +func sSE2XorSlice(in, out []byte) + +// This is what the assembler routines do 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, ssse3, avx2 bool) { + var done int + if avx2 { + galMulAVX2(mulTableLow[c][:], mulTableHigh[c][:], in, out) + done = (len(in) >> 5) << 5 + } else if 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, ssse3, avx2 bool) { + var done int + if avx2 { + galMulAVX2Xor(mulTableLow[c][:], mulTableHigh[c][:], in, out) + done = (len(in) >> 5) << 5 + } else if 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]] + } + } +} + +// slice galois add +func sliceXor(in, out []byte, sse2 bool) { + var done int + if sse2 { + sSE2XorSlice(in, out) + done = (len(in) >> 4) << 4 + } + remain := len(in) - done + if remain > 0 { + for i := done; i < len(in); i++ { + out[i] ^= in[i] + } + } +} diff --git a/vendor/github.com/klauspost/reedsolomon/galois_amd64.s b/vendor/github.com/klauspost/reedsolomon/galois_amd64.s new file mode 100644 index 00000000..8a294c17 --- /dev/null +++ b/vendor/github.com/klauspost/reedsolomon/galois_amd64.s @@ -0,0 +1,236 @@ +//+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 + MOVQ SI, AX + MOVQ DX, BX + ANDQ $15, AX + ANDQ $15, BX + CMPQ R9, $0 + JEQ done_xor + ORQ AX, BX + CMPQ BX, $0 + JNZ loopback_xor + +loopback_xor_aligned: + MOVOA (SI), X0 // in[x] + MOVOA (DX), X4 // out[x] + MOVOA X0, X1 // in[x] + MOVOA X6, X2 // low copy + MOVOA 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 + MOVOA X3, (DX) // Store + ADDQ $16, SI // in+=16 + ADDQ $16, DX // out+=16 + SUBQ $1, R9 + JNZ loopback_xor_aligned + JMP 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) + MOVQ SI, AX + MOVQ DX, BX + SHRQ $4, R9 // len(in) / 16 + ANDQ $15, AX + ANDQ $15, BX + CMPQ R9, $0 + JEQ done + ORQ AX, BX + CMPQ BX, $0 + JNZ loopback + +loopback_aligned: + MOVOA (SI), X0 // in[x] + MOVOA X0, X1 // in[x] + MOVOA X6, X2 // low copy + MOVOA 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 + MOVOA X3, (DX) // Store + ADDQ $16, SI // in+=16 + ADDQ $16, DX // out+=16 + SUBQ $1, R9 + JNZ loopback_aligned + JMP done + +loopback: + MOVOU (SI), X0 // in[x] + MOVOU X0, X1 // in[x] + MOVOA X6, X2 // low copy + MOVOA 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) + + VINSERTI128 $1, X6, Y6, Y6 // low + VINSERTI128 $1, X7, Y7, Y7 // high + VPBROADCASTB X5, Y8 // Y8: lomask (unpacked) + + SHRQ $5, R9 // len(in) / 32 + MOVQ out+72(FP), DX // DX: &out + MOVQ in+48(FP), SI // SI: &in + TESTQ R9, R9 + JZ done_xor_avx2 + +loopback_xor_avx2: + VMOVDQU (SI), Y0 + VMOVDQU (DX), Y4 + VPSRLQ $4, Y0, Y1 // Y1: high input + VPAND Y8, Y0, Y0 // Y0: low input + VPAND Y8, Y1, Y1 // Y1: high input + VPSHUFB Y0, Y6, Y2 // Y2: mul low part + VPSHUFB Y1, Y7, Y3 // Y3: mul high part + VPXOR Y3, Y2, Y3 // Y3: Result + VPXOR Y4, Y3, Y4 // Y4: Result + VMOVDQU Y4, (DX) + + ADDQ $32, SI // in+=32 + ADDQ $32, DX // out+=32 + SUBQ $1, R9 + JNZ loopback_xor_avx2 + +done_xor_avx2: + VZEROUPPER + 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) + + VINSERTI128 $1, X6, Y6, Y6 // low + VINSERTI128 $1, X7, Y7, Y7 // high + VPBROADCASTB X5, Y8 // Y8: lomask (unpacked) + + SHRQ $5, R9 // len(in) / 32 + MOVQ out+72(FP), DX // DX: &out + MOVQ in+48(FP), SI // SI: &in + TESTQ R9, R9 + JZ done_avx2 + +loopback_avx2: + VMOVDQU (SI), Y0 + VPSRLQ $4, Y0, Y1 // Y1: high input + VPAND Y8, Y0, Y0 // Y0: low input + VPAND Y8, Y1, Y1 // Y1: high input + VPSHUFB Y0, Y6, Y2 // Y2: mul low part + VPSHUFB Y1, Y7, Y3 // Y3: mul high part + VPXOR Y3, Y2, Y4 // Y4: Result + VMOVDQU Y4, (DX) + + ADDQ $32, SI // in+=32 + ADDQ $32, DX // out+=32 + SUBQ $1, R9 + JNZ loopback_avx2 + +done_avx2: + VZEROUPPER + RET + +// func sSE2XorSlice(in, out []byte) +TEXT ·sSE2XorSlice(SB), 7, $0 + MOVQ in+0(FP), SI // SI: &in + MOVQ in_len+8(FP), R9 // R9: len(in) + MOVQ out+24(FP), DX // DX: &out + SHRQ $4, R9 // len(in) / 16 + CMPQ R9, $0 + JEQ done_xor_sse2 + +loopback_xor_sse2: + MOVOU (SI), X0 // in[x] + MOVOU (DX), X1 // out[x] + PXOR X0, X1 + MOVOU X1, (DX) + ADDQ $16, SI // in+=16 + ADDQ $16, DX // out+=16 + SUBQ $1, R9 + JNZ loopback_xor_sse2 + +done_xor_sse2: + RET diff --git a/vendor/github.com/klauspost/reedsolomon/galois_arm64.go b/vendor/github.com/klauspost/reedsolomon/galois_arm64.go new file mode 100644 index 00000000..a9e533f5 --- /dev/null +++ b/vendor/github.com/klauspost/reedsolomon/galois_arm64.go @@ -0,0 +1,48 @@ +//+build !noasm +//+build !appengine + +// Copyright 2015, Klaus Post, see LICENSE for details. +// Copyright 2017, Minio, Inc. + +package reedsolomon + +//go:noescape +func galMulNEON(c uint64, in, out []byte) + +//go:noescape +func galMulXorNEON(c uint64, in, out []byte) + +func galMulSlice(c byte, in, out []byte, ssse3, avx2 bool) { + var done int + galMulNEON(uint64(c), in, out) + done = (len(in) >> 5) << 5 + + 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, ssse3, avx2 bool) { + var done int + galMulXorNEON(uint64(c), in, out) + done = (len(in) >> 5) << 5 + + remain := len(in) - done + if remain > 0 { + mt := mulTable[c] + for i := done; i < len(in); i++ { + out[i] ^= mt[in[i]] + } + } +} + +// slice galois add +func sliceXor(in, out []byte, sse2 bool) { + for n, input := range in { + out[n] ^= input + } +} diff --git a/vendor/github.com/klauspost/reedsolomon/galois_arm64.s b/vendor/github.com/klauspost/reedsolomon/galois_arm64.s new file mode 100644 index 00000000..b18e2587 --- /dev/null +++ b/vendor/github.com/klauspost/reedsolomon/galois_arm64.s @@ -0,0 +1,141 @@ +//+build !noasm !appengine + +// Copyright 2015, Klaus Post, see LICENSE for details. +// Copyright 2017, Minio, Inc. + +// Use github.com/minio/asm2plan9s on this file to assemble ARM instructions to +// the opcodes of their Plan9 equivalents + +// polynomial multiplication +#define POLYNOMIAL_MULTIPLICATION \ + WORD $0x0e3ce340 \ // pmull v0.8h,v26.8b,v28.8b + WORD $0x4e3ce346 \ // pmull2 v6.8h,v26.16b,v28.16b + WORD $0x0e3ce36c \ // pmull v12.8h,v27.8b,v28.8b + WORD $0x4e3ce372 // pmull2 v18.8h,v27.16b,v28.16b + +// first reduction +#define FIRST_REDUCTION \ + WORD $0x0f088402 \ // shrn v2.8b, v0.8h, #8 + WORD $0x0f0884c8 \ // shrn v8.8b, v6.8h, #8 + WORD $0x0f08858e \ // shrn v14.8b, v12.8h, #8 + WORD $0x0f088654 \ // shrn v20.8b, v18.8h, #8 + WORD $0x0e22e3c3 \ // pmull v3.8h,v30.8b,v2.8b + WORD $0x0e28e3c9 \ // pmull v9.8h,v30.8b,v8.8b + WORD $0x0e2ee3cf \ // pmull v15.8h,v30.8b,v14.8b + WORD $0x0e34e3d5 \ // pmull v21.8h,v30.8b,v20.8b + WORD $0x6e201c60 \ // eor v0.16b,v3.16b,v0.16b + WORD $0x6e261d26 \ // eor v6.16b,v9.16b,v6.16b + WORD $0x6e2c1dec \ // eor v12.16b,v15.16b,v12.16b + WORD $0x6e321eb2 // eor v18.16b,v21.16b,v18.16b + +// second reduction +#define SECOND_REDUCTION \ + WORD $0x0f088404 \ // shrn v4.8b, v0.8h, #8 + WORD $0x0f0884ca \ // shrn v10.8b, v6.8h, #8 + WORD $0x0f088590 \ // shrn v16.8b, v12.8h, #8 + WORD $0x0f088656 \ // shrn v22.8b, v18.8h, #8 + WORD $0x6e241c44 \ // eor v4.16b,v2.16b,v4.16b + WORD $0x6e2a1d0a \ // eor v10.16b,v8.16b,v10.16b + WORD $0x6e301dd0 \ // eor v16.16b,v14.16b,v16.16b + WORD $0x6e361e96 \ // eor v22.16b,v20.16b,v22.16b + WORD $0x0e24e3c5 \ // pmull v5.8h,v30.8b,v4.8b + WORD $0x0e2ae3cb \ // pmull v11.8h,v30.8b,v10.8b + WORD $0x0e30e3d1 \ // pmull v17.8h,v30.8b,v16.8b + WORD $0x0e36e3d7 \ // pmull v23.8h,v30.8b,v22.8b + WORD $0x6e201ca0 \ // eor v0.16b,v5.16b,v0.16b + WORD $0x6e261d61 \ // eor v1.16b,v11.16b,v6.16b + WORD $0x6e2c1e22 \ // eor v2.16b,v17.16b,v12.16b + WORD $0x6e321ee3 // eor v3.16b,v23.16b,v18.16b + +// func galMulNEON(c uint64, in, out []byte) +TEXT ·galMulNEON(SB), 7, $0 + MOVD c+0(FP), R0 + MOVD in_base+8(FP), R1 + MOVD in_len+16(FP), R2 // length of message + MOVD out_base+32(FP), R5 + SUBS $32, R2 + BMI complete + + // Load constants table pointer + MOVD $·constants(SB), R3 + + // and load constants into v30 & v31 + WORD $0x4c40a07e // ld1 {v30.16b-v31.16b}, [x3] + + WORD $0x4e010c1c // dup v28.16b, w0 + +loop: + // Main loop + WORD $0x4cdfa83a // ld1 {v26.4s-v27.4s}, [x1], #32 + + POLYNOMIAL_MULTIPLICATION + + FIRST_REDUCTION + + SECOND_REDUCTION + + // combine results + WORD $0x4e1f2000 // tbl v0.16b,{v0.16b,v1.16b},v31.16b + WORD $0x4e1f2041 // tbl v1.16b,{v2.16b,v3.16b},v31.16b + + // Store result + WORD $0x4c9faca0 // st1 {v0.2d-v1.2d}, [x5], #32 + + SUBS $32, R2 + BPL loop + +complete: + RET + +// func galMulXorNEON(c uint64, in, out []byte) +TEXT ·galMulXorNEON(SB), 7, $0 + MOVD c+0(FP), R0 + MOVD in_base+8(FP), R1 + MOVD in_len+16(FP), R2 // length of message + MOVD out_base+32(FP), R5 + SUBS $32, R2 + BMI completeXor + + // Load constants table pointer + MOVD $·constants(SB), R3 + + // and load constants into v30 & v31 + WORD $0x4c40a07e // ld1 {v30.16b-v31.16b}, [x3] + + WORD $0x4e010c1c // dup v28.16b, w0 + +loopXor: + // Main loop + WORD $0x4cdfa83a // ld1 {v26.4s-v27.4s}, [x1], #32 + WORD $0x4c40a8b8 // ld1 {v24.4s-v25.4s}, [x5] + + POLYNOMIAL_MULTIPLICATION + + FIRST_REDUCTION + + SECOND_REDUCTION + + // combine results + WORD $0x4e1f2000 // tbl v0.16b,{v0.16b,v1.16b},v31.16b + WORD $0x4e1f2041 // tbl v1.16b,{v2.16b,v3.16b},v31.16b + + // Xor result and store + WORD $0x6e381c00 // eor v0.16b,v0.16b,v24.16b + WORD $0x6e391c21 // eor v1.16b,v1.16b,v25.16b + WORD $0x4c9faca0 // st1 {v0.2d-v1.2d}, [x5], #32 + + SUBS $32, R2 + BPL loopXor + +completeXor: + RET + +// Constants table +// generating polynomial is 29 (= 0x1d) +DATA ·constants+0x0(SB)/8, $0x1d1d1d1d1d1d1d1d +DATA ·constants+0x8(SB)/8, $0x1d1d1d1d1d1d1d1d +// constant for TBL instruction +DATA ·constants+0x10(SB)/8, $0x0e0c0a0806040200 +DATA ·constants+0x18(SB)/8, $0x1e1c1a1816141210 + +GLOBL ·constants(SB), 8, $32 diff --git a/vendor/github.com/klauspost/reedsolomon/galois_noasm.go b/vendor/github.com/klauspost/reedsolomon/galois_noasm.go new file mode 100644 index 00000000..ebde7be6 --- /dev/null +++ b/vendor/github.com/klauspost/reedsolomon/galois_noasm.go @@ -0,0 +1,27 @@ +//+build !amd64 noasm appengine +//+build !arm64 noasm appengine + +// Copyright 2015, Klaus Post, see LICENSE for details. + +package reedsolomon + +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, ssse3, avx2 bool) { + mt := mulTable[c] + for n, input := range in { + out[n] ^= mt[input] + } +} + +// slice galois add +func sliceXor(in, out []byte, sse2 bool) { + for n, input := range in { + out[n] ^= input + } +} diff --git a/vendor/github.com/klauspost/reedsolomon/gentables.go b/vendor/github.com/klauspost/reedsolomon/gentables.go new file mode 100644 index 00000000..843aadeb --- /dev/null +++ b/vendor/github.com/klauspost/reedsolomon/gentables.go @@ -0,0 +1,132 @@ +//+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/klauspost/reedsolomon/inversion_tree.go b/vendor/github.com/klauspost/reedsolomon/inversion_tree.go new file mode 100644 index 00000000..c9d8ab2e --- /dev/null +++ b/vendor/github.com/klauspost/reedsolomon/inversion_tree.go @@ -0,0 +1,160 @@ +/** + * 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/klauspost/reedsolomon/matrix.go b/vendor/github.com/klauspost/reedsolomon/matrix.go new file mode 100644 index 00000000..339913a7 --- /dev/null +++ b/vendor/github.com/klauspost/reedsolomon/matrix.go @@ -0,0 +1,279 @@ +/** + * 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 do 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/klauspost/reedsolomon/options.go b/vendor/github.com/klauspost/reedsolomon/options.go new file mode 100644 index 00000000..e8e3c467 --- /dev/null +++ b/vendor/github.com/klauspost/reedsolomon/options.go @@ -0,0 +1,111 @@ +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, useSSE2 bool + usePAR1Matrix bool + useCauchy bool + shardSize int +} + +var defaultOptions = options{ + maxGoroutines: 384, + minSplitSize: 1024, +} + +func init() { + if runtime.GOMAXPROCS(0) <= 1 { + defaultOptions.maxGoroutines = 1 + } + // Detect CPU capabilities. + defaultOptions.useSSSE3 = cpuid.CPU.SSSE3() + defaultOptions.useAVX2 = cpuid.CPU.AVX2() + defaultOptions.useSSE2 = cpuid.CPU.SSE2() +} + +// 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 + } + } +} + +// WithAutoGoroutines will adjust the number of goroutines for optimal speed with a +// specific shard size. +// Send in the shard size you expect to send. Other shard sizes will work, but may not +// run at the optimal speed. +// Overwrites WithMaxGoroutines. +// If shardSize <= 0, it is ignored. +func WithAutoGoroutines(shardSize int) Option { + return func(o *options) { + o.shardSize = shardSize + } +} + +// WithMinSplitSize 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.minSplitSize = 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 + } +} + +func withSSE2(enabled bool) Option { + return func(o *options) { + o.useSSE2 = enabled + } +} + +// WithPAR1Matrix causes the encoder to build the matrix how PARv1 +// does. Note that the method they use is buggy, and may lead to cases +// where recovery is impossible, even if there are enough parity +// shards. +func WithPAR1Matrix() Option { + return func(o *options) { + o.usePAR1Matrix = true + o.useCauchy = false + } +} + +// WithCauchyMatrix will make the encoder build a Cauchy style matrix. +// The output of this is not compatible with the standard output. +// A Cauchy matrix is faster to generate. This does not affect data throughput, +// but will result in slightly faster start-up time. +func WithCauchyMatrix() Option { + return func(o *options) { + o.useCauchy = true + o.usePAR1Matrix = false + } +} diff --git a/vendor/github.com/klauspost/reedsolomon/reedsolomon.go b/vendor/github.com/klauspost/reedsolomon/reedsolomon.go new file mode 100644 index 00000000..213d0b4e --- /dev/null +++ b/vendor/github.com/klauspost/reedsolomon/reedsolomon.go @@ -0,0 +1,884 @@ +/** + * 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" + + "github.com/klauspost/cpuid" +) + +// 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 or zero-length. + // If a shard is zero-length but has sufficient capacity, that memory will + // be used, otherwise a new []byte will be allocated. + // + // 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 + + // ReconstructData will recreate any missing data shards, if possible. + // + // Given a list of shards, some of which contain data, fills in the + // data shards 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 or zero-length. + // If a shard is zero-length but has sufficient capacity, that memory will + // be used, otherwise a new []byte will be allocated. + // + // If there are too few shards to reconstruct the missing + // ones, ErrTooFewShards will be returned. + // + // As the reconstructed shard set may contain missing parity shards, + // calling the Verify function is likely to fail. + ReconstructData(shards [][]byte) error + + // Update parity is use for change a few data shards and update it's parity. + // Input 'newDatashards' containing data shards changed. + // Input 'shards' containing old data shards (if data shard not changed, it can be nil) and old parity shards. + // new parity shards will in shards[DataShards:] + // Update is very useful if DataShards much larger than ParityShards and changed data shards is few. It will + // faster than Encode and not need read all data shards to encode. + Update(shards [][]byte, newDatashards [][]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 + o options +} + +// 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 are bigger than the order of +// GF(2^8). +var ErrMaxShardNum = errors.New("cannot create Encoder with more than 256 data+parity shards") + +// buildMatrix creates the matrix to use for encoding, given the +// number of data shards and the number of total shards. +// +// The top square of the matrix is guaranteed to be an identity +// matrix, which means that the data shards are unchanged after +// encoding. +func buildMatrix(dataShards, totalShards int) (matrix, error) { + // 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(totalShards, 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, err := vm.SubMatrix(0, 0, dataShards, dataShards) + if err != nil { + return nil, err + } + + topInv, err := top.Invert() + if err != nil { + return nil, err + } + + return vm.Multiply(topInv) +} + +// buildMatrixPAR1 creates the matrix to use for encoding according to +// the PARv1 spec, given the number of data shards and the number of +// total shards. Note that the method they use is buggy, and may lead +// to cases where recovery is impossible, even if there are enough +// parity shards. +// +// The top square of the matrix is guaranteed to be an identity +// matrix, which means that the data shards are unchanged after +// encoding. +func buildMatrixPAR1(dataShards, totalShards int) (matrix, error) { + result, err := newMatrix(totalShards, dataShards) + if err != nil { + return nil, err + } + + for r, row := range result { + // The top portion of the matrix is the identity + // matrix, and the bottom is a transposed Vandermonde + // matrix starting at 1 instead of 0. + if r < dataShards { + result[r][r] = 1 + } else { + for c := range row { + result[r][c] = galExp(byte(c+1), r-dataShards) + } + } + } + return result, nil +} + +func buildMatrixCauchy(dataShards, totalShards int) (matrix, error) { + result, err := newMatrix(totalShards, dataShards) + if err != nil { + return nil, err + } + + for r, row := range result { + // The top portion of the matrix is the identity + // matrix, and the bottom is a transposed Cauchy matrix. + if r < dataShards { + result[r][r] = 1 + } else { + for c := range row { + result[r][c] = invTable[(byte(r ^ c))] + } + } + } + return result, nil +} + +// 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 total shards is 256. +// 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 + } + + if dataShards+parityShards > 256 { + return nil, ErrMaxShardNum + } + + var err error + switch { + case r.o.useCauchy: + r.m, err = buildMatrixCauchy(dataShards, r.Shards) + case r.o.usePAR1Matrix: + r.m, err = buildMatrixPAR1(dataShards, r.Shards) + default: + r.m, err = buildMatrix(dataShards, r.Shards) + } + if err != nil { + return nil, err + } + if r.o.shardSize > 0 { + cacheSize := cpuid.CPU.Cache.L2 + if cacheSize <= 0 { + // Set to 128K if undetectable. + cacheSize = 128 << 10 + } + p := runtime.NumCPU() + + // 1 input + parity must fit in cache, and we add one more to be safer. + shards := 1 + parityShards + g := (r.o.shardSize * shards) / (cacheSize - (cacheSize >> 4)) + + if cpuid.CPU.ThreadsPerCore > 1 { + // If multiple threads per core, make sure they don't contend for cache. + g *= cpuid.CPU.ThreadsPerCore + } + g *= 2 + if g < p { + g = p + } + + // Have g be multiple of p + g += p - 1 + g -= g % p + + r.o.maxGoroutines = g + } + + // 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/Update. 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 +} + +// ErrInvalidInput is returned if invalid input parameter of Update. +var ErrInvalidInput = errors.New("invalid input") + +func (r reedSolomon) Update(shards [][]byte, newDatashards [][]byte) error { + if len(shards) != r.Shards { + return ErrTooFewShards + } + + if len(newDatashards) != r.DataShards { + return ErrTooFewShards + } + + err := checkShards(shards, true) + if err != nil { + return err + } + + err = checkShards(newDatashards, true) + if err != nil { + return err + } + + for i := range newDatashards { + if newDatashards[i] != nil && shards[i] == nil { + return ErrInvalidInput + } + } + for _, p := range shards[r.DataShards:] { + if p == nil { + return ErrInvalidInput + } + } + + shardSize := shardSize(shards) + + // Get the slice of output buffers. + output := shards[r.DataShards:] + + // Do the coding. + r.updateParityShards(r.parity, shards[0:r.DataShards], newDatashards[0:r.DataShards], output, r.ParityShards, shardSize) + return nil +} + +func (r reedSolomon) updateParityShards(matrixRows, oldinputs, newinputs, outputs [][]byte, outputCount, byteCount int) { + if r.o.maxGoroutines > 1 && byteCount > r.o.minSplitSize { + r.updateParityShardsP(matrixRows, oldinputs, newinputs, outputs, outputCount, byteCount) + return + } + + for c := 0; c < r.DataShards; c++ { + in := newinputs[c] + if in == nil { + continue + } + oldin := oldinputs[c] + // oldinputs data will be change + sliceXor(in, oldin, r.o.useSSE2) + for iRow := 0; iRow < outputCount; iRow++ { + galMulSliceXor(matrixRows[iRow][c], oldin, outputs[iRow], r.o.useSSSE3, r.o.useAVX2) + } + } +} + +func (r reedSolomon) updateParityShardsP(matrixRows, oldinputs, newinputs, outputs [][]byte, outputCount, byteCount int) { + var wg sync.WaitGroup + do := byteCount / r.o.maxGoroutines + if do < r.o.minSplitSize { + do = r.o.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 := newinputs[c] + if in == nil { + continue + } + oldin := oldinputs[c] + // oldinputs data will be change + sliceXor(in[start:stop], oldin[start:stop], r.o.useSSE2) + for iRow := 0; iRow < outputCount; iRow++ { + galMulSliceXor(matrixRows[iRow][c], oldin[start:stop], outputs[iRow][start:stop], r.o.useSSSE3, r.o.useAVX2) + } + } + wg.Done() + }(start, start+do) + start += do + } + wg.Wait() +} + +// 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 r.o.maxGoroutines > 1 && byteCount > r.o.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], r.o.useSSSE3, r.o.useAVX2) + } else { + galMulSliceXor(matrixRows[iRow][c], in, outputs[iRow], r.o.useSSSE3, r.o.useAVX2) + } + } + } +} + +// 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 / r.o.maxGoroutines + if do < r.o.minSplitSize { + do = r.o.minSplitSize + } + // Make sizes divisible by 16 + do = (do + 15) & (^15) + 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], r.o.useSSSE3, r.o.useAVX2) + } else { + galMulSliceXor(matrixRows[iRow][c], in[start:stop], outputs[iRow][start:stop], r.o.useSSSE3, r.o.useAVX2) + } + } + } + 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 { + 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 / r.o.maxGoroutines + if do < r.o.minSplitSize { + do = r.o.minSplitSize + } + // Make sizes divisible by 16 + do = (do + 15) & (^15) + 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], r.o.useSSSE3, r.o.useAVX2) + } + } + + 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 do 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 or zero-length. +// If a shard is zero-length but has sufficient capacity, that memory will +// be used, otherwise a new []byte will be allocated. +// +// 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 { + return r.reconstruct(shards, false) +} + +// ReconstructData will recreate any missing data shards, if possible. +// +// Given a list of shards, some of which contain data, fills in the +// data shards 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 or zero-length. +// If a shard is zero-length but has sufficient capacity, that memory will +// be used, otherwise a new []byte will be allocated. +// +// If there are too few shards to reconstruct the missing +// ones, ErrTooFewShards will be returned. +// +// As the reconstructed shard set may contain missing parity shards, +// calling the Verify function is likely to fail. +func (r reedSolomon) ReconstructData(shards [][]byte) error { + return r.reconstruct(shards, true) +} + +// reconstruct will recreate the missing data shards, and unless +// dataOnly is true, also the missing parity shards +// +// 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. +func (r reedSolomon) reconstruct(shards [][]byte, dataOnly bool) 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 { + if cap(shards[iShard]) >= shardSize { + shards[iShard] = shards[iShard][0:shardSize] + } else { + shards[iShard] = make([]byte, shardSize) + } + outputs[outputCount] = shards[iShard] + matrixRows[outputCount] = dataDecodeMatrix[iShard] + outputCount++ + } + } + r.codeSomeShards(matrixRows, subShards, outputs[:outputCount], outputCount, shardSize) + + if dataOnly { + // Exit out early if we are only interested in the data shards + return nil + } + + // 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 { + if cap(shards[iShard]) >= shardSize { + shards[iShard] = shards[iShard][0:shardSize] + } else { + 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 if necessary. +// +// 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 data shard. + perShard := (len(data) + r.DataShards - 1) / r.DataShards + + if cap(data) > len(data) { + data = data[:cap(data)] + } + + // Only allocate memory if necessary + if len(data) < (r.Shards * perShard) { + // 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/klauspost/reedsolomon/streaming.go b/vendor/github.com/klauspost/reedsolomon/streaming.go new file mode 100644 index 00000000..9e55d735 --- /dev/null +++ b/vendor/github.com/klauspost/reedsolomon/streaming.go @@ -0,0 +1,584 @@ +/** + * 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, o ...Option) (StreamEncoder, error) { + enc, err := New(dataShards, parityShards, o...) + 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, o ...Option) (StreamEncoder, error) { + enc, err := New(dataShards, parityShards, o...) + 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 do 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 do 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 do 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 do 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 when explicitly asked for all missing shards. +// However its integrity is not automatically verified. +// Use the Verify function to check in case the data set is complete. +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) + reconDataOnly := true + for i := range valid { + if valid[i] != nil && fill[i] != nil { + return ErrReconstructMismatch + } + if i >= r.r.DataShards && fill[i] != nil { + reconDataOnly = false + } + } + + 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)) + + if reconDataOnly { + err = r.r.ReconstructData(all) // just reconstruct missing data shards + } else { + err = r.r.Reconstruct(all) // reconstruct all missing shards + } + 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/github.com/AudriusButkevicius/kcp-go/LICENSE b/vendor/github.com/xtaci/kcp-go/LICENSE similarity index 100% rename from vendor/github.com/AudriusButkevicius/kcp-go/LICENSE rename to vendor/github.com/xtaci/kcp-go/LICENSE diff --git a/vendor/github.com/AudriusButkevicius/kcp-go/blacklist.go b/vendor/github.com/xtaci/kcp-go/blacklist.go similarity index 53% rename from vendor/github.com/AudriusButkevicius/kcp-go/blacklist.go rename to vendor/github.com/xtaci/kcp-go/blacklist.go index 718dbb0a..1d910af9 100644 --- a/vendor/github.com/AudriusButkevicius/kcp-go/blacklist.go +++ b/vendor/github.com/xtaci/kcp-go/blacklist.go @@ -6,6 +6,19 @@ import ( ) var ( + // BlacklistDuration sets a duration for which a session is blacklisted + // once it's established. This is simillar to TIME_WAIT state in TCP, whereby + // any connection attempt with the same session parameters is ignored for + // some amount of time. + // + // This is only useful when dial attempts happen from a pre-determined port, + // for example when you are dialing from the same connection you are listening on + // to punch through NAT, and helps with the fact that KCP is state-less. + // This helps better deal with scenarios where a process on one of the side (A) + // get's restarted, and stray packets from other side (B) makes it look like + // as if someone is trying to connect to A. Even if session dies on B, + // new stray reply packets from A resurrect the session on B, causing the + // session to be alive forever. BlacklistDuration time.Duration blacklist = blacklistMap{ entries: make(map[sessionKey]time.Time), diff --git a/vendor/github.com/AudriusButkevicius/kcp-go/crypt.go b/vendor/github.com/xtaci/kcp-go/crypt.go similarity index 100% rename from vendor/github.com/AudriusButkevicius/kcp-go/crypt.go rename to vendor/github.com/xtaci/kcp-go/crypt.go diff --git a/vendor/github.com/AudriusButkevicius/kcp-go/fec.go b/vendor/github.com/xtaci/kcp-go/fec.go similarity index 85% rename from vendor/github.com/AudriusButkevicius/kcp-go/fec.go rename to vendor/github.com/xtaci/kcp-go/fec.go index d8826e97..6a12824d 100644 --- a/vendor/github.com/AudriusButkevicius/kcp-go/fec.go +++ b/vendor/github.com/xtaci/kcp-go/fec.go @@ -4,7 +4,7 @@ import ( "encoding/binary" "sync/atomic" - "github.com/templexxx/reedsolomon" + "github.com/klauspost/reedsolomon" ) const ( @@ -34,6 +34,9 @@ type ( decodeCache [][]byte flagCache []bool + // zeros + zeros []byte + // RS decoder codec reedsolomon.Encoder } @@ -47,19 +50,20 @@ func newFECDecoder(rxlimit, dataShards, parityShards int) *fecDecoder { return nil } - fec := new(fecDecoder) - fec.rxlimit = rxlimit - fec.dataShards = dataShards - fec.parityShards = parityShards - fec.shardSize = dataShards + parityShards - enc, err := reedsolomon.New(dataShards, parityShards) + dec := new(fecDecoder) + dec.rxlimit = rxlimit + dec.dataShards = dataShards + dec.parityShards = parityShards + dec.shardSize = dataShards + parityShards + codec, err := reedsolomon.New(dataShards, parityShards) if err != nil { return nil } - fec.codec = enc - fec.decodeCache = make([][]byte, fec.shardSize) - fec.flagCache = make([]bool, fec.shardSize) - return fec + dec.codec = codec + dec.decodeCache = make([][]byte, dec.shardSize) + dec.flagCache = make([]bool, dec.shardSize) + dec.zeros = make([]byte, mtuLimit) + return dec } // decodeBytes a fec packet @@ -154,7 +158,7 @@ func (dec *fecDecoder) decode(pkt fecPacket) (recovered [][]byte) { if shards[k] != nil { dlen := len(shards[k]) shards[k] = shards[k][:maxlen] - xorBytes(shards[k][dlen:], shards[k][dlen:], shards[k][dlen:]) + copy(shards[k][dlen:], dec.zeros) } } if err := dec.codec.ReconstructData(shards); err == nil { @@ -209,6 +213,9 @@ type ( shardCache [][]byte encodeCache [][]byte + // zeros + zeros []byte + // RS encoder codec reedsolomon.Encoder } @@ -218,27 +225,28 @@ func newFECEncoder(dataShards, parityShards, offset int) *fecEncoder { if dataShards <= 0 || parityShards <= 0 { return nil } - fec := new(fecEncoder) - fec.dataShards = dataShards - fec.parityShards = parityShards - fec.shardSize = dataShards + parityShards - fec.paws = (0xffffffff/uint32(fec.shardSize) - 1) * uint32(fec.shardSize) - fec.headerOffset = offset - fec.payloadOffset = fec.headerOffset + fecHeaderSize + enc := new(fecEncoder) + enc.dataShards = dataShards + enc.parityShards = parityShards + enc.shardSize = dataShards + parityShards + enc.paws = (0xffffffff/uint32(enc.shardSize) - 1) * uint32(enc.shardSize) + enc.headerOffset = offset + enc.payloadOffset = enc.headerOffset + fecHeaderSize - enc, err := reedsolomon.New(dataShards, parityShards) + codec, err := reedsolomon.New(dataShards, parityShards) if err != nil { return nil } - fec.codec = enc + enc.codec = codec // caches - fec.encodeCache = make([][]byte, fec.shardSize) - fec.shardCache = make([][]byte, fec.shardSize) - for k := range fec.shardCache { - fec.shardCache[k] = make([]byte, mtuLimit) + enc.encodeCache = make([][]byte, enc.shardSize) + enc.shardCache = make([][]byte, enc.shardSize) + for k := range enc.shardCache { + enc.shardCache[k] = make([]byte, mtuLimit) } - return fec + enc.zeros = make([]byte, mtuLimit) + return enc } // encode the packet, output parity shards if we have enough datashards @@ -264,7 +272,7 @@ func (enc *fecEncoder) encode(b []byte) (ps [][]byte) { for i := 0; i < enc.dataShards; i++ { shard := enc.shardCache[i] slen := len(shard) - xorBytes(shard[slen:enc.maxSize], shard[slen:enc.maxSize], shard[slen:enc.maxSize]) + copy(shard[slen:enc.maxSize], enc.zeros) } // construct equal-sized slice with stripped header diff --git a/vendor/github.com/AudriusButkevicius/kcp-go/kcp.go b/vendor/github.com/xtaci/kcp-go/kcp.go similarity index 99% rename from vendor/github.com/AudriusButkevicius/kcp-go/kcp.go rename to vendor/github.com/xtaci/kcp-go/kcp.go index b343adff..21cdde19 100644 --- a/vendor/github.com/AudriusButkevicius/kcp-go/kcp.go +++ b/vendor/github.com/xtaci/kcp-go/kcp.go @@ -539,10 +539,11 @@ func (kcp *KCP) Input(data []byte, regular, ackNoDelay bool) int { if flag == 0 { flag = 1 maxack = sn + lastackts = ts } else if _itimediff(sn, maxack) > 0 { maxack = sn + lastackts = ts } - lastackts = ts } else if cmd == IKCP_CMD_PUSH { if _itimediff(sn, kcp.rcv_nxt+kcp.rcv_wnd) < 0 { kcp.ack_push(sn, ts) @@ -610,8 +611,6 @@ func (kcp *KCP) Input(data []byte, regular, ackNoDelay 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 } diff --git a/vendor/github.com/xtaci/kcp-go/rand.go b/vendor/github.com/xtaci/kcp-go/rand.go new file mode 100644 index 00000000..15697fb2 --- /dev/null +++ b/vendor/github.com/xtaci/kcp-go/rand.go @@ -0,0 +1,25 @@ +package kcp + +import ( + "crypto/md5" + "crypto/rand" + "io" +) + +// nonceMD5 is a nonce generator for each packet header +// which took the advantages of both MD5 and CSPRNG(like /dev/urandom). +// The benchmark shows it's faster than previous CSPRNG only method. +type nonceMD5 struct { + data [md5.Size]byte +} + +// Nonce fills a nonce into the provided slice with no more than md5.Size bytes +// the entropy will be updated whenever a leading 0 appears +func (n *nonceMD5) Fill(nonce []byte) { + if n.data[0] == 0 { // 1/256 chance for entropy update + io.ReadFull(rand.Reader, n.data[:]) + } + n.data = md5.Sum(n.data[:]) + copy(nonce, n.data[:]) + return +} diff --git a/vendor/github.com/AudriusButkevicius/kcp-go/sess.go b/vendor/github.com/xtaci/kcp-go/sess.go similarity index 99% rename from vendor/github.com/AudriusButkevicius/kcp-go/sess.go rename to vendor/github.com/xtaci/kcp-go/sess.go index 127aa35d..f3539f6b 100644 --- a/vendor/github.com/AudriusButkevicius/kcp-go/sess.go +++ b/vendor/github.com/xtaci/kcp-go/sess.go @@ -4,7 +4,6 @@ import ( "crypto/rand" "encoding/binary" "hash/crc32" - "io" "net" "sync" "sync/atomic" @@ -97,6 +96,9 @@ type ( chWriteEvent chan struct{} // notify Write() can be called without blocking chErrorEvent chan error // notify Read() have an error + // nonce generator + nonce nonceMD5 + isClosed bool // flag the session has Closed mu sync.Mutex } @@ -478,13 +480,13 @@ func (s *UDPSession) output(buf []byte) { // 2&3. crc32 & encryption if s.block != nil { - io.ReadFull(rand.Reader, ext[:nonceSize]) + s.nonce.Fill(ext[:nonceSize]) checksum := crc32.ChecksumIEEE(ext[cryptHeaderSize:]) binary.LittleEndian.PutUint32(ext[nonceSize:], checksum) s.block.Encrypt(ext, ext) for k := range ecc { - io.ReadFull(rand.Reader, ecc[k][:nonceSize]) + s.nonce.Fill(ecc[k][:nonceSize]) checksum := crc32.ChecksumIEEE(ecc[k][cryptHeaderSize:]) binary.LittleEndian.PutUint32(ecc[k][nonceSize:], checksum) s.block.Encrypt(ecc[k], ecc[k]) diff --git a/vendor/github.com/AudriusButkevicius/kcp-go/snmp.go b/vendor/github.com/xtaci/kcp-go/snmp.go similarity index 100% rename from vendor/github.com/AudriusButkevicius/kcp-go/snmp.go rename to vendor/github.com/xtaci/kcp-go/snmp.go diff --git a/vendor/github.com/AudriusButkevicius/kcp-go/updater.go b/vendor/github.com/xtaci/kcp-go/updater.go similarity index 100% rename from vendor/github.com/AudriusButkevicius/kcp-go/updater.go rename to vendor/github.com/xtaci/kcp-go/updater.go diff --git a/vendor/github.com/AudriusButkevicius/kcp-go/xor.go b/vendor/github.com/xtaci/kcp-go/xor.go similarity index 100% rename from vendor/github.com/AudriusButkevicius/kcp-go/xor.go rename to vendor/github.com/xtaci/kcp-go/xor.go diff --git a/vendor/manifest b/vendor/manifest index ec84aa69..34095b31 100644 --- a/vendor/manifest +++ b/vendor/manifest @@ -17,14 +17,6 @@ "branch": "master", "notests": true }, - { - "importpath": "github.com/AudriusButkevicius/kcp-go", - "repository": "https://github.com/AudriusButkevicius/kcp-go", - "vcs": "git", - "revision": "8ae5f528469c6ab76110f41eb7a51341b7efb946", - "branch": "master", - "notests": true - }, { "importpath": "github.com/AudriusButkevicius/pfilter", "repository": "https://github.com/AudriusButkevicius/pfilter", @@ -264,6 +256,14 @@ "branch": "master", "notests": true }, + { + "importpath": "github.com/klauspost/reedsolomon", + "repository": "https://github.com/klauspost/reedsolomon", + "vcs": "git", + "revision": "0b30fa71cc8e4e9010c9aba6d0320e2e5b163b29", + "branch": "master", + "notests": true + }, { "importpath": "github.com/lib/pq", "repository": "https://github.com/lib/pq", @@ -437,6 +437,14 @@ "path": "/qr", "notests": true }, + { + "importpath": "github.com/xtaci/kcp-go", + "repository": "https://github.com/xtaci/kcp-go", + "vcs": "git", + "revision": "86eebd5cadb519b7c9306082c7eb3bcee2c49a7b", + "branch": "master", + "notests": true + }, { "importpath": "github.com/xtaci/smux", "repository": "https://github.com/xtaci/smux",