diff --git a/gf2p16/internal/gen/gen.go b/gf2p16/internal/gen/gen.go new file mode 100644 index 00000000..1fffd981 --- /dev/null +++ b/gf2p16/internal/gen/gen.go @@ -0,0 +1,114 @@ +package main + +import ( + "bytes" + "flag" + "fmt" + "go/format" + "io" + "io/ioutil" + "log" + + "github.com/akalin/gopar/gf2" +) + +const order = 1 << 16 + +var ( + logTable [order - 1]uint16 + expTable [order - 1]uint16 +) + +func buildTables() { + // m is the irreducible polynomial of degree 16 used to model + // GF(2^16). m was chosen to match the PAR2 spec. + const m gf2.Poly64 = 0x1100b + + // g is a generator of GF(2^16). + const g = 3 + + x := uint16(1) + for p := 0; p < order-1; p++ { + if x == 1 && p != 0 { + panic("repeated power (1)") + } else if x != 1 && logTable[x-1] != 0 { + panic("repeated power") + } + if expTable[p] != 0 { + panic("repeated exponent") + } + + logTable[x-1] = uint16(p) + expTable[p] = x + _, r := gf2.Poly64(x).Times(gf2.Poly64(g)).Div(m) + x = uint16(r) + } +} + +func main() { + outFile := flag.String("out", "", "output file") + gen := flag.String("generator", "", "generator (logTable or expTable)") + flag.Parse() + if outFile == nil { + log.Fatal("-out is required") + } + if gen == nil { + log.Fatal("-generator is required") + } + buildTables() + var buf bytes.Buffer + switch *gen { + case "logTable": + genLogTable(&buf) + case "expTable": + genExpTable(&buf) + default: + log.Fatal("unknown generator:", *gen) + } + b, err := format.Source(buf.Bytes()) + if err != nil { + log.Fatal(err) + } + err = ioutil.WriteFile(*outFile, b, 0600) + if err != nil { + log.Fatal(err) + } +} + +func mustFprintf(w io.Writer, format string, a ...interface{}) { + _, err := fmt.Fprintf(w, format, a...) + if err != nil { + panic(err) + } +} + +func genExpTable(w io.Writer) { + mustFprintf(w, `// Code generated by gf2p16/internal/gen. DO NOT EDIT. + +package gf2p16 + +var expTable = [order - 1]T {`) + + for i, u := range expTable { + if i%64 == 0 { + mustFprintf(w, "\n") + } + mustFprintf(w, "%d, ", u) + } + mustFprintf(w, "\n}\n") +} + +func genLogTable(w io.Writer) { + mustFprintf(w, `// Code generated by gf2p16/internal/gen. DO NOT EDIT. + +package gf2p16 + +var logTable = [order - 1]uint16 {`) + for i, u := range logTable { + if i%64 == 0 { + mustFprintf(w, "\n") + } + mustFprintf(w, "%d, ", u) + } + mustFprintf(w, "\n}\n") +} diff --git a/gf2p16/slice.go b/gf2p16/slice.go index 15e2b738..826dc797 100644 --- a/gf2p16/slice.go +++ b/gf2p16/slice.go @@ -1,7 +1,7 @@ package gf2p16 func mulByteSliceLEGeneric(c T, in, out []byte) { - cEntry := &mulTable[c] + cEntry := c.mulTableEntry() for i := 0; i < len(in); i += 2 { cx := cEntry.s0[in[i]] ^ cEntry.s8[in[i+1]] out[i] = byte(cx) @@ -10,7 +10,7 @@ func mulByteSliceLEGeneric(c T, in, out []byte) { } func mulAndAddByteSliceLEGeneric(c T, in, out []byte) { - cEntry := &mulTable[c] + cEntry := c.mulTableEntry() for i := 0; i < len(in); i += 2 { cx := cEntry.s0[in[i]] ^ cEntry.s8[in[i+1]] out[i] ^= byte(cx) @@ -20,7 +20,7 @@ func mulAndAddByteSliceLEGeneric(c T, in, out []byte) { // mulSliceGeneric sets each out[i] to c.Times(in[i]). func mulSliceGeneric(c T, in, out []T) { - cEntry := &mulTable[c] + cEntry := c.mulTableEntry() for i := 0; i < len(in); i++ { out[i] = cEntry.s0[in[i]&0xff] ^ cEntry.s8[in[i]>>8] } @@ -28,7 +28,7 @@ func mulSliceGeneric(c T, in, out []T) { // mulAndAddSliceGeneric adds c.Times(in[i]) to out[i], for each i. func mulAndAddSliceGeneric(c T, in, out []T) { - cEntry := &mulTable[c] + cEntry := c.mulTableEntry() for i := 0; i < len(in); i++ { out[i] ^= cEntry.s0[in[i]&0xff] ^ cEntry.s8[in[i]>>8] } diff --git a/gf2p16/slice_amd64.go b/gf2p16/slice_amd64.go index cbcf7e8d..9a22c7c0 100644 --- a/gf2p16/slice_amd64.go +++ b/gf2p16/slice_amd64.go @@ -28,13 +28,13 @@ func mulByteSliceLE(c T, in, out []byte, useSSSE3 bool) { } start := 0 if useSSSE3 && len(in) >= 32 { - mulSliceSSSE3Unsafe(&mulTable64[c], in, out) + mulSliceSSSE3Unsafe(c.mulTable64Entry(), in, out) start = len(in) - (len(in) % 32) if start == len(in) { return } } - mulByteSliceLEUnsafe(&mulTable[c], in[start:], out[start:]) + mulByteSliceLEUnsafe(c.mulTableEntry(), in[start:], out[start:]) } // MulAndAddByteSliceLE treats in and out as arrays of Ts stored in @@ -53,13 +53,13 @@ func mulAndAddByteSliceLE(c T, in, out []byte, useSSSE3 bool) { } start := 0 if useSSSE3 && len(in) >= 32 { - mulAndAddSliceSSSE3Unsafe(&mulTable64[c], in, out) + mulAndAddSliceSSSE3Unsafe(c.mulTable64Entry(), in, out) start = len(in) - (len(in) % 32) if start == len(in) { return } } - mulAndAddByteSliceLEUnsafe(&mulTable[c], in[start:], out[start:]) + mulAndAddByteSliceLEUnsafe(c.mulTableEntry(), in[start:], out[start:]) } func castTToByteSlice(ts []T) []byte { diff --git a/gf2p16/slice_amd64_test.go b/gf2p16/slice_amd64_test.go index d3502e36..bc71ccdb 100644 --- a/gf2p16/slice_amd64_test.go +++ b/gf2p16/slice_amd64_test.go @@ -197,7 +197,7 @@ func TestMulAltMapSSSE3Unsafe(t *testing.T) { outLow := [2][16]byte{filler, filler} outHigh := [2][16]byte{filler, filler} - mulAltMapSSSE3Unsafe(&mulTable64[c], &inLow, &inHigh, &outLow[0], &outHigh[0]) + mulAltMapSSSE3Unsafe(c.mulTable64Entry(), &inLow, &inHigh, &outLow[0], &outHigh[0]) require.Equal(t, expectedOutLow, outLow) require.Equal(t, expectedOutHigh, outHigh) @@ -221,7 +221,7 @@ func TestMulSliceAltMapSSSE3Unsafe(t *testing.T) { mulByteSliceLEGeneric(c, inStandard, expectedOut[:len(in)]) standardToAltMapSliceSSSE3Unsafe(expectedOut, expectedOut) - mulSliceAltMapSSSE3Unsafe(&mulTable64[c], in, out) + mulSliceAltMapSSSE3Unsafe(c.mulTable64Entry(), in, out) require.Equal(t, expectedOut, out) } @@ -246,7 +246,7 @@ func TestMulSSSE3Unsafe(t *testing.T) { out0 := [2][16]byte{filler, filler} out1 := [2][16]byte{filler, filler} - mulSSSE3Unsafe(&mulTable64[c], &in0, &in1, &out0[0], &out1[0]) + mulSSSE3Unsafe(c.mulTable64Entry(), &in0, &in1, &out0[0], &out1[0]) require.Equal(t, expectedOut0, out0) require.Equal(t, expectedOut1, out1) @@ -267,7 +267,7 @@ func TestMulSliceSSSE3Unsafe(t *testing.T) { mulByteSliceLEGeneric(c, in, expectedOut[:len(in)]) - mulSliceSSSE3Unsafe(&mulTable64[c], in, out) + mulSliceSSSE3Unsafe(c.mulTable64Entry(), in, out) require.Equal(t, expectedOut, out) } @@ -292,7 +292,7 @@ func TestMulAndAddSSSE3Unsafe(t *testing.T) { out0 := [2][16]byte{filler, filler} out1 := out0 - mulAndAddSSSE3Unsafe(&mulTable64[c], &in0, &in1, &out0[0], &out1[0]) + mulAndAddSSSE3Unsafe(c.mulTable64Entry(), &in0, &in1, &out0[0], &out1[0]) require.Equal(t, expectedOut0, out0) require.Equal(t, expectedOut1, out1) @@ -313,7 +313,7 @@ func TestMulAndAddSliceSSSE3Unsafe(t *testing.T) { mulAndAddByteSliceLEGeneric(c, in, expectedOut[:len(in)]) - mulAndAddSliceSSSE3Unsafe(&mulTable64[c], in, out) + mulAndAddSliceSSSE3Unsafe(c.mulTable64Entry(), in, out) require.Equal(t, expectedOut, out) } diff --git a/gf2p16/slice_test.go b/gf2p16/slice_test.go index 13eaf1e8..c438655e 100644 --- a/gf2p16/slice_test.go +++ b/gf2p16/slice_test.go @@ -200,6 +200,8 @@ func benchMulByteSliceLE(b *testing.B, byteCount int) { } func BenchmarkMulByteSliceLE(b *testing.B) { + LoadCaches() + b.ResetTimer() runMulBenchmark(b, benchMulByteSliceLE) } diff --git a/gf2p16/t.go b/gf2p16/t.go index 289c8e68..6242b1b9 100644 --- a/gf2p16/t.go +++ b/gf2p16/t.go @@ -1,10 +1,41 @@ package gf2p16 -import "github.com/akalin/gopar/gf2" +import ( + "sync" +) + +//go:generate go run ./internal/gen -generator logTable -out t_logtable_gen.go +//go:generate go run ./internal/gen -generator expTable -out t_exptable_gen.go // T is an element of GF(2^16). type T uint16 +var mulTableCache [1 << 16]*mulTableEntry +var mulTableCacheMutex sync.RWMutex + +func (t T) mulTableEntry() *mulTableEntry { + if cachesLoaded { + return mulTableCache[t] + } + mulTableCacheMutex.RLock() + entry := mulTableCache[t] + if entry != nil { + mulTableCacheMutex.RUnlock() + return entry + } + mulTableCacheMutex.RUnlock() + mulTableCacheMutex.Lock() + defer mulTableCacheMutex.Unlock() + if mulTableCache[t] == nil { + mulTableCache[t] = &mulTableEntry{} + for j := 0; j < 256; j++ { + mulTableCache[t].s0[j] = t.Times(T(j)) + mulTableCache[t].s8[j] = t.Times(T(j << 8)) + } + } + return mulTableCache[t] +} + // Plus returns the sum of t and u as elements of GF(2^16), which is // just the bitwise xor of the two. func (t T) Plus(u T) T { @@ -19,52 +50,22 @@ func (t T) Minus(u T) T { const order = 1 << 16 -var logTable [order - 1]uint16 -var expTable [order - 1]T - type mulTableEntry struct { s0, s8 [1 << 8]T } -var mulTable [1 << 16]mulTableEntry +var cachesLoaded bool -func init() { - // TODO: Generate tables at compile time. - - // m is the irreducible polynomial of degree 16 used to model - // GF(2^16). m was chosen to match the PAR2 spec. - const m gf2.Poly64 = 0x1100b - - // g is a generator of GF(2^16). - const g T = 3 - - x := T(1) - for p := 0; p < order-1; p++ { - if x == 1 && p != 0 { - panic("repeated power (1)") - } else if x != 1 && logTable[x-1] != 0 { - panic("repeated power") - } - if expTable[p] != 0 { - panic("repeated exponent") - } - - logTable[x-1] = uint16(p) - expTable[p] = x - _, r := gf2.Poly64(x).Times(gf2.Poly64(g)).Div(m) - x = T(r) +// LoadCaches preloads mulTableCache and mulTable64Cache +func LoadCaches() { + if cachesLoaded { + return } - - // Since we've filled in logTable and expTable, we can use - // T.Times below. - for i := 0; i < len(mulTable); i++ { - for j := 0; j < len(mulTable[i].s0); j++ { - mulTable[i].s0[j] = T(i).Times(T(j)) - mulTable[i].s8[j] = T(i).Times(T(j << 8)) - } + for i := range mulTableCache { + T(i).mulTableEntry() } - - platformInit() + platformPreloadCaches() + cachesLoaded = true } // Times returns the product of t and u as elements of GF(2^16). diff --git a/gf2p16/t_amd64.go b/gf2p16/t_amd64.go index 674dcaa6..a071efd0 100644 --- a/gf2p16/t_amd64.go +++ b/gf2p16/t_amd64.go @@ -1,30 +1,56 @@ package gf2p16 +import ( + "sync" +) + type mulTable64Entry struct { s0Low, s4Low, s8Low, s12Low [1 << 4]byte s0High, s4High, s8High, s12High [1 << 4]byte } -var mulTable64 [1 << 16]mulTable64Entry +func platformPreloadCaches() { + for i := range mulTable64Cache { + T(i).mulTable64Entry() + } +} + +var mulTable64Cache [1 << 16]*mulTable64Entry +var mulTableCache64Mutex sync.RWMutex -func platformInit() { - for i := 0; i < len(mulTable64); i++ { - for j := 0; j < len(mulTable64[i].s0Low); j++ { - t0 := T(i).Times(T(j)) - mulTable64[i].s0Low[j] = byte(t0) - mulTable64[i].s0High[j] = byte(t0 >> 8) +func (t T) mulTable64Entry() *mulTable64Entry { + if cachesLoaded { + return mulTable64Cache[t] + } + mulTableCache64Mutex.RLock() + entry := mulTable64Cache[t] + if entry != nil { + mulTableCache64Mutex.RUnlock() + return entry + } + mulTableCache64Mutex.RUnlock() + mulTableCache64Mutex.Lock() + defer mulTableCache64Mutex.Unlock() + if mulTable64Cache[t] == nil { + entry := mulTable64Entry{} + for j := 0; j < len(entry.s0Low); j++ { + tt := t.Times(T(j)) + entry.s0Low[j] = byte(tt) + entry.s0High[j] = byte(tt >> 8) - t1 := T(i).Times(T(j << 4)) - mulTable64[i].s4Low[j] = byte(t1) - mulTable64[i].s4High[j] = byte(t1 >> 8) + tt = t.Times(T(j << 4)) + entry.s4Low[j] = byte(tt) + entry.s4High[j] = byte(tt >> 8) - t2 := T(i).Times(T(j << 8)) - mulTable64[i].s8Low[j] = byte(t2) - mulTable64[i].s8High[j] = byte(t2 >> 8) + tt = t.Times(T(j << 8)) + entry.s8Low[j] = byte(tt) + entry.s8High[j] = byte(tt >> 8) - t3 := T(i).Times(T(j << 12)) - mulTable64[i].s12Low[j] = byte(t3) - mulTable64[i].s12High[j] = byte(t3 >> 8) + tt = t.Times(T(j << 12)) + entry.s12Low[j] = byte(tt) + entry.s12High[j] = byte(tt >> 8) } + mulTable64Cache[t] = &entry } + return mulTable64Cache[t] } diff --git a/gf2p16/t_amd64_test.go b/gf2p16/t_amd64_test.go index 45fec3b0..5b1f9132 100644 --- a/gf2p16/t_amd64_test.go +++ b/gf2p16/t_amd64_test.go @@ -14,7 +14,7 @@ func TestMulTable64(t *testing.T) { c := T(rand.Int()) expectedCX := c.Times(x) - cEntry := &mulTable64[c] + cEntry := c.mulTable64Entry() cxLow := cEntry.s0Low[x&0x0f] ^ cEntry.s4Low[(x>>4)&0x0f] ^ cEntry.s8Low[(x>>8)&0x0f] ^ cEntry.s12Low[(x>>12)&0x0f] cxHigh := cEntry.s0High[x&0x0f] ^ cEntry.s4High[(x>>4)&0x0f] ^ cEntry.s8High[(x>>8)&0x0f] ^ cEntry.s12High[(x>>12)&0x0f] cx := T(cxLow) | (T(cxHigh) << 8) diff --git a/gf2p16/t_exptable_gen.go b/gf2p16/t_exptable_gen.go new file mode 100644 index 00000000..ea411692 --- /dev/null +++ b/gf2p16/t_exptable_gen.go @@ -0,0 +1,1030 @@ +// Code generated by gf2p16/internal/gen. DO NOT EDIT. + +package gf2p16 + +var expTable = [order - 1]T{ + 1, 3, 5, 15, 17, 51, 85, 255, 257, 771, 1285, 3855, 4369, 13107, 21845, 65535, 4106, 12318, 20514, 61542, 161, 483, 549, 1647, 2737, 8147, 8309, 24735, 41377, 62184, 1843, 2389, 7167, 11265, 29699, 39941, 46084, 52231, 17410, 52230, 17409, 52227, 17422, 52242, 17469, 52295, 17602, 52550, 18369, 51267, 18638, 55634, 31741, 35847, 33794, 39949, 46108, 52271, 17530, 52366, 17817, 52907, 17398, 50202, + 23589, 58479, 15546, 17870, 52818, 17149, 50951, 22786, 60166, 11521, 30467, 39173, 47876, 56583, 30466, 39174, 47873, 56584, 30483, 39221, 47956, 56823, 30226, 39478, 48721, 54008, 26371, 43269, 60164, 11527, 30473, 39195, 47910, 56673, 30632, 39160, 47363, 56078, 32025, 34603, 39286, 48017, 56504, 30147, 40517, 45764, 51015, 22978, 59974, 11969, 29507, 38341, 44612, 58055, 14146, 22982, 59978, 11989, 29567, 38273, 44680, 58259, 13502, 24002, + 58950, 15041, 20291, 53701, 25156, 42700, 64351, 7658, 9790, 27202, 48838, 54081, 26056, 44632, 58083, 14126, 22898, 60310, 11441, 30163, 40565, 45716, 51127, 22738, 59766, 11153, 31923, 34261, 40564, 45719, 51122, 22749, 59751, 11170, 31974, 34090, 40821, 45460, 49847, 22482, 63606, 6289, 10675, 31445, 36735, 33162, 37525, 42932, 63703, 6514, 11158, 31930, 34254, 40537, 45792, 50987, 22902, 60314, 11429, 30191, 40497, 45656, 50915, 23342, + 60786, 10141, 26791, 47593, 55856, 32347, 33517, 38716, 43343, 60378, 11365, 29871, 40433, 46616, 51747, 20078, 53938, 26589, 43111, 59554, 10733, 31287, 36441, 33504, 38699, 43382, 60305, 11448, 30152, 40536, 45795, 50990, 22905, 60299, 11414, 30138, 40654, 45913, 50656, 24107, 57981, 13964, 23444, 60604, 9679, 28241, 45811, 50974, 22825, 60283, 11654, 30346, 39838, 48297, 54768, 28187, 45613, 50812, 23183, 61329, 8376, 25032, 41560, 63203, + 2862, 7538, 10134, 26810, 47566, 55897, 32480, 33568, 38251, 44982, 57553, 12664, 21384, 62616, 3491, 5861, 15151, 19825, 55187, 26814, 47554, 55885, 32476, 33636, 38311, 44770, 58157, 13692, 24452, 57484, 12703, 21153, 63459, 2094, 6258, 10390, 31162, 35534, 36697, 33248, 37419, 42614, 64145, 8120, 8392, 24920, 41960, 62515, 3166, 5346, 15654, 18282, 51646, 19145, 57179, 29158, 37418, 42613, 64148, 8119, 8409, 24939, 41917, 62668, + 3423, 6113, 14371, 18533, 55471, 31226, 35342, 36377, 33312, 38507, 43702, 61393, 8312, 24712, 41368, 62115, 2030, 2098, 6230, 10490, 30990, 35602, 36157, 34636, 39391, 47722, 57013, 29652, 38012, 44175, 58778, 16037, 17391, 50225, 23640, 58600, 15667, 18261, 51711, 18954, 56862, 29225, 38523, 43654, 61313, 8328, 24984, 41640, 63475, 2078, 6178, 10342, 30890, 35326, 35337, 36368, 33339, 38470, 43713, 61256, 8659, 25205, 42655, 64426, + 7413, 9503, 28449, 45411, 50094, 21753, 64779, 5910, 14650, 19278, 56786, 30333, 39559, 49026, 53389, 24988, 41636, 63463, 2082, 6246, 10410, 31230, 35330, 36365, 33308, 38447, 43642, 61061, 9092, 25740, 44436, 59063, 15314, 19574, 54426, 28069, 46831, 52026, 19781, 55247, 26714, 47342, 55609, 31552, 36288, 34379, 39638, 49009, 53656, 25251, 42981, 63524, 6247, 10409, 31227, 35341, 36380, 33327, 38522, 43653, 61316, 8327, 24969, 41627, + 63398, 2273, 6435, 11109, 32175, 34545, 39704, 48419, 55150, 27065, 47819, 57174, 29169, 37395, 42558, 64073, 7888, 9072, 26000, 44720, 58331, 13414, 23722, 58878, 15881, 16923, 50733, 23164, 61060, 9095, 25737, 44443, 59046, 15329, 19491, 54373, 27812, 46572, 52799, 16970, 50910, 23401, 60859, 9926, 27466, 48606, 54889, 27312, 49104, 53371, 24710, 41354, 62101, 1972, 2268, 6500, 11180, 31988, 34076, 40751, 45434, 50053, 21636, 64908, + 5791, 15265, 19683, 54565, 28516, 45484, 49919, 22282, 63774, 6953, 11643, 30605, 39063, 47538, 56029, 32620, 33204, 37591, 42866, 63901, 6828, 12276, 28700, 36900, 41063, 61602, 493, 567, 1625, 2795, 7997, 8519, 25545, 42075, 64742, 5409, 16227, 16805, 49903, 22330, 63822, 7129, 11371, 29885, 40391, 46658, 51917, 20316, 53732, 25127, 42601, 64176, 8155, 8301, 24759, 41433, 62048, 1707, 3069, 7175, 9225, 27675, 46125, 52348, + 17551, 52625, 18104, 52168, 19539, 54517, 27924, 46908, 51535, 19418, 56430, 29881, 40395, 46678, 51953, 20248, 53544, 25459, 42389, 65204, 5079, 13433, 23691, 58781, 16044, 17396, 50204, 23599, 58481, 15512, 17832, 52984, 17155, 50437, 24324, 57612, 13087, 21793, 65379, 4526, 13042, 22294, 63802, 6981, 11727, 30289, 39667, 48926, 53545, 25456, 42384, 65211, 5062, 13386, 23774, 58722, 16301, 16631, 49433, 21280, 62816, 4011, 4349, 12551, + 21257, 62747, 3878, 4458, 13246, 21698, 64838, 6081, 14403, 18629, 55631, 31706, 35950, 33977, 40384, 46667, 51926, 20337, 53651, 25278, 42946, 63565, 6364, 10596, 31660, 36084, 34071, 40754, 45405, 50156, 21567, 64577, 5320, 15704, 18408, 51256, 18499, 55493, 31044, 35788, 35935, 34026, 40245, 46932, 51703, 18962, 56886, 29265, 38643, 43806, 60713, 10096, 27024, 47792, 57307, 28774, 37034, 41461, 61972, 1591, 2649, 7915, 9021, 25927, + 45001, 57424, 12539, 20749, 62231, 1330, 3926, 4602, 12814, 22034, 64054, 7761, 8947, 26389, 43327, 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DO NOT EDIT. + +package gf2p16 + +var logTable = [order - 1]uint16{ + 0, 32749, 1, 65498, 2, 32750, 4367, 32712, 4368, 32751, 65317, 65499, 50262, 37116, 3, 65461, 4, 37117, 7176, 65500, 8734, 32531, 50263, 32713, 57339, 17476, 4369, 4330, 65318, 32752, 63636, 32675, 63637, 32753, 54629, 4331, 16594, 39925, 65319, 32714, 25188, 41483, 57340, 65280, 4370, 17477, 60544, 65462, 4149, 24553, 5, 50225, 7177, 37118, 27551, 37079, 50264, 32532, 61188, 65501, 34559, 30850, 8735, 65424, + 8736, 30851, 13877, 65502, 65099, 21843, 34560, 37080, 1453, 49343, 50265, 7139, 61189, 32533, 61706, 65463, 34989, 57937, 4150, 8697, 6, 24554, 17318, 32494, 27552, 37119, 8226, 50226, 2468, 27758, 7178, 32676, 64603, 36898, 63638, 57302, 54630, 32754, 22975, 17439, 65320, 39926, 13101, 4332, 45437, 60300, 16595, 4293, 60545, 17478, 43827, 65281, 44667, 28402, 4371, 32715, 11543, 1773, 25189, 63599, 57341, 41484, 50044, 32638, + 50045, 41485, 38537, 63600, 31918, 46626, 57342, 32716, 10536, 32313, 11544, 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+94,7 @@ func TestMulTable(t *testing.T) { c := T(rand.Int()) expectedCX := c.Times(x) - cEntry := &mulTable[c] + cEntry := c.mulTableEntry() cx := cEntry.s0[x&0xff] ^ cEntry.s8[(x>>8)&0xff] require.Equal(t, expectedCX, cx) diff --git a/rsec16/coder.go b/rsec16/coder.go index 7db24dd6..9355140d 100644 --- a/rsec16/coder.go +++ b/rsec16/coder.go @@ -9,6 +9,8 @@ import ( "github.com/klauspost/cpuid/v2" ) +//go:generate go run ./internal/gen -out coder_gen.go + // DefaultNumGoroutines returns a default value for the numGoroutines // parameter to pass into NewCoderCauchy and // NewCoderPAR2Vandermonde. This is not necessarily GOMAXPROCS. @@ -62,19 +64,6 @@ func NewCoderCauchy(dataShards, parityShards, numGoroutines int) (Coder, error) return Coder{dataShards, parityShards, numGoroutines, parityMatrix}, nil } -var generators []gf2p16.T - -func init() { - // TODO: Generate this table at compile time. - for i := 0; i < (1 << 16); i++ { - if i%3 == 0 || i%5 == 0 || i%17 == 0 || i%257 == 0 { - continue - } - g := gf2p16.T(2).Pow(uint32(i)) - generators = append(generators, g) - } -} - func newVandermondeParityMatrix(dataShards, parityShards int) gf2p16.Matrix { return newVandermondeMatrix(parityShards, dataShards, func(i int) gf2p16.T { return generators[i] diff --git a/rsec16/coder_gen.go b/rsec16/coder_gen.go new file mode 100644 index 00000000..fa3b2e47 --- /dev/null +++ b/rsec16/coder_gen.go @@ -0,0 +1,1034 @@ +// Code generated by rsec16/internal/gen. DO NOT EDIT. + +package rsec16 + +import ( + "github.com/akalin/gopar/gf2p16" +) + +var generators = []gf2p16.T{ + 2, 4, 16, 128, 256, 2048, 8192, 16384, 4107, 32856, 17132, 34264, 28396, 43963, 18301, 3583, 7166, 20445, 40890, 48636, 55270, 49095, 57098, 44575, 39018, 33660, 5875, 47000, 65142, 60647, 33665, 5897, + 23588, 49462, 54036, 31821, 63642, 53877, 46305, 62354, 60577, 51529, 10866, 43464, 17307, 7783, 15566, 62264, 59889, 50153, 32626, 60867, 52109, 7721, 15442, 61768, 64113, 58601, 22393, 19951, 20334, 40668, 23398, 64294, + 58951, 16905, 6191, 12382, 37627, 27642, 28621, 57242, 40170, 21438, 42876, 48614, 27591, 48919, 43167, 16693, 10686, 42744, 24059, 26599, 53198, 3877, 31016, 62032, 58033, 47833, 26041, 34543, 7637, 30548, 1393, 11144, + 44576, 19531, 8487, 16974, 6451, 51608, 33595, 23028, 30683, 61366, 36549, 3457, 13828, 41003, 20573, 44014, 18391, 3927, 7854, 31416, 58845, 56241, 48562, 48567, 54986, 48543, 54890, 54122, 46815, 59103, 43873, 18121, + 2863, 22904, 60374, 51111, 23810, 25603, 51206, 4101, 32808, 16748, 33496, 22252, 19387, 38774, 32206, 64412, 37714, 13999, 42355, 46554, 31679, 65271, 60901, 34697, 31844, 63688, 46705, 63954, 58287, 48801, 27977, 42287, + 31071, 58817, 42777, 24121, 26863, 53726, 30565, 35637, 1633, 13064, 52256, 34891, 314, 628, 2512, 20096, 40192, 43052, 32934, 4423, 17692, 35384, 2294, 18352, 36704, 15148, 60592, 5553, 11106, 44424, 15463, 30926, + 63085, 59817, 50009, 31474, 64451, 44585, 19545, 17118, 7027, 14054, 56216, 42811, 48378, 47095, 32741, 53045, 3273, 6546, 26184, 52368, 605, 4840, 9680, 16011, 64044, 58451, 41297, 21161, 23215, 64215, 42633, + 47666, 25711, 33207, 4965, 19860, 19638, 39276, 35660, 3366, 6732, 26928, 53856, 31133, 64757, 59873, 64740, 59843, 38673, 15913, 63652, 46353, 31273, 57685, 31385, 64111, 58581, 41801, 19055, 38110, 59100, 43885, 18129, 2895, + 5790, 62422, 63399, 52489, 1081, 2162, 8648, 7755, 62040, 62651, 54761, 26553, 53106, 3541, 7082, 17757, 35514, 5628, 22512, 45024, 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48965, 56578, 34858, 95, 380, + 3040, 6080, 48640, 55318, 40999, 20767, 21623, 33710, 5975, 47800, 51958, 34279, 14218, 28436, 44123, 13055, 26110, 8173, 32692, 65384, 52669, 35697, 3538, 28304, 56608, 35130, 1278, 2556, 10224, 20448, 12171, 55462, + 42250, 46142, 30839, 61911, 62373, 65161, 33913, 6393, 51144, 12093, 24186, 27107, 54214, 32517, 51253, 32865, 7323, 14646, 58584, 55739, 22257, 38814, 16183, 59827, 15785, 63140, 64835, 50449, 18610, 37220, 51980, 14426, + 57704, 53979, 31601, 60309, 50977, 22834, 29891, 59782, 38405, 61444, 61457, 61481, 61817, 62969, 64505, 57337, 45049, 49084, 28531, 19333, 15903, 31806, 57587, 53741, 30633, 36181, 2721, 21768, 17451, 34902, 334, 668, + 2672, 21376, 26663, 45207, 28965, 54431, 47413, 50370, 17962, 35924, 8844, 35376, 1131, 4524, 9048, 36192, 11052, 22104, 37590, 27470, 54940, 27245, 54490, 25461, 11189, 22378, 39750, 19726, 18534, 37068, 25382, 10541, + 21082, 45766, 60174, 50711, 20610, 20995, 45070, 28695, 45221, 57986, 54543, 25633, 51266, 4373, 34984, 347, 2776, 11104, 22208, 19211, 38422, 30798, 62061, 62673, 54969, 27385, 54770, 26581, 53162, 3765, 60240, 10929, + 43716, 17795, 1543, 3086, 12344, 37323, 13213, 36067, 5018, 10036, 40144, 10667, 42668, 25927, 51854, 53544, 45659, 59770, 49919, 15329, 52995, 36365, 12356, 37419, 26810, 53620, 30157, 40565, 11489, 30467, 52231, 34821, +} diff --git a/rsec16/coder_test.go b/rsec16/coder_test.go index 550de7d8..96ae7b67 100644 --- a/rsec16/coder_test.go +++ b/rsec16/coder_test.go @@ -130,6 +130,7 @@ func benchmarkParityMatrix(b *testing.B, benchmarkFn func(*testing.B, func(int, } func BenchmarkMakeReconstructionMatrix(b *testing.B) { + gf2p16.LoadCaches() for _, config := range []struct { dataShards int parityShards int diff --git a/rsec16/internal/gen/gen.go b/rsec16/internal/gen/gen.go new file mode 100644 index 00000000..a494633a --- /dev/null +++ b/rsec16/internal/gen/gen.go @@ -0,0 +1,50 @@ +package main + +import ( + "bytes" + "flag" + "fmt" + "go/format" + "io/ioutil" + "log" + + "github.com/akalin/gopar/gf2p16" +) + +func main() { + var buf bytes.Buffer + buf.WriteString(`// Code generated by rsec16/internal/gen. DO NOT EDIT. + +package rsec16 + +import ( + "github.com/akalin/gopar/gf2p16" +) + +var generators = []gf2p16.T {`) + + for i := 0; i < (1 << 16); i++ { + if i%64 == 0 { + buf.WriteString("\n") + } + if i%3 == 0 || i%5 == 0 || i%17 == 0 || i%257 == 0 { + continue + } + buf.WriteString(fmt.Sprintf("%d, ", gf2p16.T(2).Pow(uint32(i)))) + } + buf.WriteString("\n}\n") + + outFile := flag.String("out", "", "output file") + flag.Parse() + if outFile == nil { + log.Fatal("-out is required") + } + b, err := format.Source(buf.Bytes()) + if err != nil { + log.Fatal(err) + } + err = ioutil.WriteFile(*outFile, b, 0600) + if err != nil { + log.Fatal(err) + } +} diff --git a/rsec16/matrix_test.go b/rsec16/matrix_test.go index ef0b03b7..3059742e 100644 --- a/rsec16/matrix_test.go +++ b/rsec16/matrix_test.go @@ -206,6 +206,7 @@ func benchmarkApplyMatrix(b *testing.B, config applyMatrixBenchmarkConfig, apply } func BenchmarkApplyMatrix(b *testing.B) { + gf2p16.LoadCaches() configs := []applyMatrixBenchmarkConfig{ {3, 4, 1024}, {3, 4, 1024 * 1024},