300 lines
8.6 KiB
Go
300 lines
8.6 KiB
Go
// Copyright 2012 The Go Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style
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// license that can be found in the LICENSE file.
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package jpeg
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import (
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"bytes"
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"fmt"
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"math"
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"math/rand"
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"testing"
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)
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func benchmarkDCT(b *testing.B, f func(*block)) {
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b.StopTimer()
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blocks := make([]block, 0, b.N*len(testBlocks))
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for i := 0; i < b.N; i++ {
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blocks = append(blocks, testBlocks[:]...)
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}
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b.StartTimer()
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for i := range blocks {
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f(&blocks[i])
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}
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}
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func BenchmarkFDCT(b *testing.B) {
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benchmarkDCT(b, fdct)
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}
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func BenchmarkIDCT(b *testing.B) {
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benchmarkDCT(b, idct)
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}
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func TestDCT(t *testing.T) {
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blocks := make([]block, len(testBlocks))
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copy(blocks, testBlocks[:])
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// Append some randomly generated blocks of varying sparseness.
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r := rand.New(rand.NewSource(123))
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for i := 0; i < 100; i++ {
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b := block{}
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n := r.Int() % 64
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for j := 0; j < n; j++ {
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b[r.Int()%len(b)] = r.Int31() % 256
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}
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blocks = append(blocks, b)
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}
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// Check that the FDCT and IDCT functions are inverses, after a scale and
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// level shift. Scaling reduces the rounding errors in the conversion from
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// floats to ints.
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for i, b := range blocks {
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got, want := b, b
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for j := range got {
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got[j] = (got[j] - 128) * 8
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}
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slowFDCT(&got)
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slowIDCT(&got)
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for j := range got {
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got[j] = got[j]/8 + 128
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}
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if differ(&got, &want) {
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t.Errorf("i=%d: IDCT(FDCT)\nsrc\n%s\ngot\n%s\nwant\n%s\n", i, &b, &got, &want)
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}
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}
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// Check that the optimized and slow FDCT implementations agree.
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// The fdct function already does a scale and level shift.
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for i, b := range blocks {
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got, want := b, b
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fdct(&got)
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for j := range want {
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want[j] = (want[j] - 128) * 8
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}
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slowFDCT(&want)
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if differ(&got, &want) {
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t.Errorf("i=%d: FDCT\nsrc\n%s\ngot\n%s\nwant\n%s\n", i, &b, &got, &want)
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}
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}
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// Check that the optimized and slow IDCT implementations agree.
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for i, b := range blocks {
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got, want := b, b
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idct(&got)
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slowIDCT(&want)
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if differ(&got, &want) {
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t.Errorf("i=%d: IDCT\nsrc\n%s\ngot\n%s\nwant\n%s\n", i, &b, &got, &want)
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}
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}
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}
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// differ reports whether any pair-wise elements in b0 and b1 differ by 2 or
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// more. That tolerance is because there isn't a single definitive decoding of
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// a given JPEG image, even before the YCbCr to RGB conversion; implementations
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// can have different IDCT rounding errors.
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func differ(b0, b1 *block) bool {
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for i := range b0 {
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delta := b0[i] - b1[i]
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if delta < -2 || +2 < delta {
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return true
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}
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}
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return false
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}
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// alpha returns 1 if i is 0 and returns √2 otherwise.
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func alpha(i int) float64 {
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if i == 0 {
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return 1
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}
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return math.Sqrt2
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}
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var cosines [32]float64 // cosines[k] = cos(π/2 * k/8)
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func init() {
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for k := range cosines {
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cosines[k] = math.Cos(math.Pi * float64(k) / 16)
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}
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}
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// slowFDCT performs the 8*8 2-dimensional forward discrete cosine transform:
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//
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// dst[u,v] = (1/8) * Σ_x Σ_y alpha(u) * alpha(v) * src[x,y] *
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// cos((π/2) * (2*x + 1) * u / 8) *
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// cos((π/2) * (2*y + 1) * v / 8)
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//
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// x and y are in pixel space, and u and v are in transform space.
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//
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// b acts as both dst and src.
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func slowFDCT(b *block) {
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var dst [blockSize]float64
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for v := 0; v < 8; v++ {
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for u := 0; u < 8; u++ {
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sum := 0.0
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for y := 0; y < 8; y++ {
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for x := 0; x < 8; x++ {
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sum += alpha(u) * alpha(v) * float64(b[8*y+x]) *
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cosines[((2*x+1)*u)%32] *
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cosines[((2*y+1)*v)%32]
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}
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}
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dst[8*v+u] = sum / 8
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}
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}
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// Convert from float64 to int32.
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for i := range dst {
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b[i] = int32(dst[i] + 0.5)
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}
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}
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// slowIDCT performs the 8*8 2-dimensional inverse discrete cosine transform:
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//
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// dst[x,y] = (1/8) * Σ_u Σ_v alpha(u) * alpha(v) * src[u,v] *
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// cos((π/2) * (2*x + 1) * u / 8) *
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// cos((π/2) * (2*y + 1) * v / 8)
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//
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// x and y are in pixel space, and u and v are in transform space.
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//
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// b acts as both dst and src.
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func slowIDCT(b *block) {
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var dst [blockSize]float64
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for y := 0; y < 8; y++ {
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for x := 0; x < 8; x++ {
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sum := 0.0
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for v := 0; v < 8; v++ {
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for u := 0; u < 8; u++ {
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sum += alpha(u) * alpha(v) * float64(b[8*v+u]) *
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cosines[((2*x+1)*u)%32] *
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cosines[((2*y+1)*v)%32]
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}
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}
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dst[8*y+x] = sum / 8
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}
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}
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// Convert from float64 to int32.
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for i := range dst {
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b[i] = int32(dst[i] + 0.5)
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}
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}
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func (b *block) String() string {
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s := bytes.NewBuffer(nil)
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fmt.Fprintf(s, "{\n")
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for y := 0; y < 8; y++ {
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fmt.Fprintf(s, "\t")
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for x := 0; x < 8; x++ {
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fmt.Fprintf(s, "0x%04x, ", uint16(b[8*y+x]))
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}
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fmt.Fprintln(s)
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}
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fmt.Fprintf(s, "}")
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return s.String()
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}
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// testBlocks are the first 10 pre-IDCT blocks from ../testdata/video-001.jpeg.
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var testBlocks = [10]block{
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{
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0x7f, 0xf6, 0x01, 0x07, 0xff, 0x00, 0x00, 0x00,
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0xf5, 0x01, 0xfa, 0x01, 0xfe, 0x00, 0x01, 0x00,
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0x05, 0x05, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00,
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0x01, 0xff, 0xf8, 0x00, 0x01, 0xff, 0x00, 0x00,
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0x00, 0x01, 0x00, 0x01, 0x00, 0xff, 0xff, 0x00,
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0xff, 0x0c, 0x00, 0x00, 0x00, 0x00, 0xff, 0x01,
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0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00,
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0x01, 0x00, 0x00, 0x01, 0xff, 0x01, 0x00, 0xfe,
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},
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{
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0x29, 0x07, 0x00, 0xfc, 0x01, 0x01, 0x00, 0x00,
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0x07, 0x00, 0x03, 0x00, 0x01, 0x00, 0xff, 0xff,
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0xff, 0xfd, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00,
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0x00, 0x00, 0x04, 0x00, 0xff, 0x01, 0x00, 0x00,
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0x01, 0x00, 0x01, 0xff, 0x00, 0x00, 0x00, 0x00,
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0x01, 0xfa, 0x01, 0x00, 0x01, 0x00, 0x01, 0xff,
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0x00, 0x00, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00,
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0x00, 0x00, 0x00, 0xff, 0x00, 0xff, 0x00, 0x02,
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},
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{
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0xc5, 0xfa, 0x01, 0x00, 0x00, 0x01, 0x00, 0xff,
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0x02, 0xff, 0x01, 0x00, 0x01, 0x00, 0xff, 0x00,
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0xff, 0xff, 0x00, 0xff, 0x01, 0x00, 0x00, 0x00,
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0xff, 0x00, 0x01, 0x00, 0x00, 0x00, 0xff, 0x00,
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0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff,
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0x00, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
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0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
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0xff, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
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},
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{
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0x86, 0x05, 0x00, 0x02, 0x00, 0x00, 0x01, 0x00,
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0xf2, 0x06, 0x00, 0x00, 0x01, 0x02, 0x00, 0x00,
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0xf6, 0xfa, 0xf9, 0x00, 0xff, 0x01, 0x00, 0x00,
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0xf9, 0x00, 0x00, 0xff, 0x00, 0x00, 0x00, 0x00,
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0x00, 0xff, 0x00, 0xff, 0xff, 0xff, 0x00, 0x00,
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0xff, 0x00, 0x00, 0x01, 0x00, 0xff, 0x01, 0x00,
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0x00, 0x00, 0x00, 0xff, 0x00, 0x00, 0x00, 0x01,
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0x00, 0x01, 0xff, 0x01, 0x00, 0xff, 0x00, 0x00,
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},
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{
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0x24, 0xfe, 0x00, 0xff, 0x00, 0xff, 0xff, 0x00,
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0x08, 0xfd, 0x00, 0x01, 0x01, 0x00, 0x01, 0x00,
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0x06, 0x03, 0x03, 0xff, 0x00, 0x00, 0x00, 0x00,
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0x04, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff,
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0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x01,
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0x01, 0x00, 0x01, 0xff, 0x00, 0x01, 0x00, 0x00,
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0x01, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
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0x01, 0x00, 0x01, 0x00, 0x00, 0x00, 0xff, 0x01,
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},
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{
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0xcd, 0xff, 0x00, 0x00, 0x00, 0x00, 0x01, 0x01,
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0x03, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff,
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0x01, 0x01, 0x01, 0x01, 0x01, 0x00, 0x00, 0x00,
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0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
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0x01, 0x00, 0x00, 0x00, 0x00, 0x01, 0x01, 0x00,
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0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00,
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0x00, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
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0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0xff,
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},
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{
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0x81, 0xfe, 0x05, 0xff, 0x01, 0xff, 0x01, 0x00,
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0xef, 0xf9, 0x00, 0xf9, 0x00, 0xff, 0x00, 0xff,
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0x05, 0xf9, 0x00, 0xf8, 0x01, 0xff, 0x01, 0xff,
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0x00, 0xff, 0x07, 0x00, 0x01, 0x00, 0x00, 0x00,
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0x01, 0x00, 0x01, 0x01, 0x00, 0x00, 0x00, 0x00,
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0x01, 0x00, 0x00, 0x00, 0xff, 0xff, 0x00, 0x01,
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0xff, 0x01, 0x01, 0x00, 0xff, 0x00, 0x00, 0x00,
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0x01, 0x01, 0x00, 0xff, 0x00, 0x00, 0x00, 0xff,
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},
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{
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0x28, 0x00, 0xfe, 0x00, 0x00, 0x00, 0x00, 0x00,
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0x0b, 0x02, 0x01, 0x03, 0x00, 0xff, 0x00, 0x01,
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0xfe, 0x02, 0x01, 0x03, 0xff, 0x00, 0x00, 0x00,
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0x01, 0x00, 0xfd, 0x00, 0x01, 0x00, 0xff, 0x00,
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0x01, 0xff, 0x00, 0xff, 0x01, 0x00, 0x00, 0x00,
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0x00, 0x00, 0x00, 0xff, 0x01, 0x01, 0x00, 0xff,
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0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
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0xff, 0xff, 0x00, 0x00, 0x00, 0xff, 0x00, 0x01,
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},
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{
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0xdf, 0xf9, 0xfe, 0x00, 0x03, 0x01, 0xff, 0xff,
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0x04, 0x01, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00,
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0xff, 0x01, 0x01, 0x01, 0x00, 0x00, 0x00, 0x01,
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0x00, 0x00, 0xfe, 0x01, 0x00, 0x00, 0x00, 0x00,
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0x00, 0x00, 0xff, 0x01, 0x00, 0x00, 0x00, 0x01,
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0xff, 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00,
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0x00, 0xff, 0x00, 0xff, 0x01, 0x00, 0x00, 0x01,
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0xff, 0xff, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00,
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},
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{
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0x88, 0xfd, 0x00, 0x00, 0xff, 0x00, 0x01, 0xff,
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0xe1, 0x06, 0x06, 0x01, 0xff, 0x00, 0x01, 0x00,
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0x08, 0x00, 0xfa, 0x00, 0xff, 0xff, 0xff, 0xff,
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0x08, 0x01, 0x00, 0xff, 0x01, 0xff, 0x00, 0x00,
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0xf5, 0xff, 0x00, 0x01, 0xff, 0x01, 0x01, 0x00,
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0xff, 0xff, 0x01, 0xff, 0x01, 0x00, 0x01, 0x00,
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0x00, 0x01, 0x01, 0xff, 0x00, 0xff, 0x00, 0x01,
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0x02, 0x00, 0x00, 0xff, 0xff, 0x00, 0xff, 0x00,
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},
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}
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