mirror of
https://github.com/google/brotli.git
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390 lines
13 KiB
C++
390 lines
13 KiB
C++
/* Copyright 2013 Google Inc. All Rights Reserved.
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Distributed under MIT license.
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See file LICENSE for detail or copy at https://opensource.org/licenses/MIT
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*/
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// Block split point selection utilities.
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#include "./block_splitter.h"
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#include <assert.h>
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#include <math.h>
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#include <algorithm>
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#include <cstring>
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#include <map>
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#include "./cluster.h"
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#include "./command.h"
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#include "./fast_log.h"
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#include "./histogram.h"
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namespace brotli {
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static const size_t kMaxLiteralHistograms = 100;
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static const size_t kMaxCommandHistograms = 50;
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static const double kLiteralBlockSwitchCost = 28.1;
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static const double kCommandBlockSwitchCost = 13.5;
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static const double kDistanceBlockSwitchCost = 14.6;
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static const size_t kLiteralStrideLength = 70;
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static const size_t kCommandStrideLength = 40;
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static const size_t kSymbolsPerLiteralHistogram = 544;
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static const size_t kSymbolsPerCommandHistogram = 530;
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static const size_t kSymbolsPerDistanceHistogram = 544;
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static const size_t kMinLengthForBlockSplitting = 128;
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static const size_t kIterMulForRefining = 2;
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static const size_t kMinItersForRefining = 100;
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void CopyLiteralsToByteArray(const Command* cmds,
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const size_t num_commands,
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const uint8_t* data,
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const size_t offset,
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const size_t mask,
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std::vector<uint8_t>* literals) {
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// Count how many we have.
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size_t total_length = 0;
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for (size_t i = 0; i < num_commands; ++i) {
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total_length += cmds[i].insert_len_;
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}
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if (total_length == 0) {
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return;
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}
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// Allocate.
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literals->resize(total_length);
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// Loop again, and copy this time.
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size_t pos = 0;
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size_t from_pos = offset & mask;
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for (size_t i = 0; i < num_commands && pos < total_length; ++i) {
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size_t insert_len = cmds[i].insert_len_;
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if (from_pos + insert_len > mask) {
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size_t head_size = mask + 1 - from_pos;
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memcpy(&(*literals)[pos], data + from_pos, head_size);
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from_pos = 0;
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pos += head_size;
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insert_len -= head_size;
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}
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if (insert_len > 0) {
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memcpy(&(*literals)[pos], data + from_pos, insert_len);
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pos += insert_len;
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}
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from_pos = (from_pos + insert_len + cmds[i].copy_len_) & mask;
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}
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}
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void CopyCommandsToByteArray(const Command* cmds,
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const size_t num_commands,
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std::vector<uint16_t>* insert_and_copy_codes,
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std::vector<uint16_t>* distance_prefixes) {
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for (size_t i = 0; i < num_commands; ++i) {
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const Command& cmd = cmds[i];
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insert_and_copy_codes->push_back(cmd.cmd_prefix_);
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if (cmd.copy_len_ > 0 && cmd.cmd_prefix_ >= 128) {
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distance_prefixes->push_back(cmd.dist_prefix_);
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}
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}
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}
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inline static unsigned int MyRand(unsigned int* seed) {
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*seed *= 16807U;
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if (*seed == 0) {
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*seed = 1;
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}
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return *seed;
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}
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template<typename HistogramType, typename DataType>
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void InitialEntropyCodes(const DataType* data, size_t length,
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size_t literals_per_histogram,
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size_t max_histograms,
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size_t stride,
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std::vector<HistogramType>* vec) {
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size_t total_histograms = length / literals_per_histogram + 1;
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if (total_histograms > max_histograms) {
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total_histograms = max_histograms;
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}
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unsigned int seed = 7;
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size_t block_length = length / total_histograms;
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for (size_t i = 0; i < total_histograms; ++i) {
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size_t pos = length * i / total_histograms;
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if (i != 0) {
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pos += MyRand(&seed) % block_length;
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}
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if (pos + stride >= length) {
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pos = length - stride - 1;
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}
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HistogramType histo;
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histo.Add(data + pos, stride);
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vec->push_back(histo);
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}
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}
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template<typename HistogramType, typename DataType>
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void RandomSample(unsigned int* seed,
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const DataType* data,
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size_t length,
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size_t stride,
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HistogramType* sample) {
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size_t pos = 0;
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if (stride >= length) {
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pos = 0;
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stride = length;
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} else {
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pos = MyRand(seed) % (length - stride + 1);
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}
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sample->Add(data + pos, stride);
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}
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template<typename HistogramType, typename DataType>
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void RefineEntropyCodes(const DataType* data, size_t length,
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size_t stride,
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std::vector<HistogramType>* vec) {
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size_t iters =
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kIterMulForRefining * length / stride + kMinItersForRefining;
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unsigned int seed = 7;
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iters = ((iters + vec->size() - 1) / vec->size()) * vec->size();
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for (size_t iter = 0; iter < iters; ++iter) {
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HistogramType sample;
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RandomSample(&seed, data, length, stride, &sample);
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size_t ix = iter % vec->size();
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(*vec)[ix].AddHistogram(sample);
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}
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}
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inline static double BitCost(size_t count) {
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return count == 0 ? -2.0 : FastLog2(count);
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}
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template<typename DataType, int kSize>
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void FindBlocks(const DataType* data, const size_t length,
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const double block_switch_bitcost,
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const std::vector<Histogram<kSize> > &vec,
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uint8_t *block_id) {
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if (vec.size() <= 1) {
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for (size_t i = 0; i < length; ++i) {
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block_id[i] = 0;
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}
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return;
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}
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size_t vecsize = vec.size();
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assert(vecsize <= 256);
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double* insert_cost = new double[kSize * vecsize];
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memset(insert_cost, 0, sizeof(insert_cost[0]) * kSize * vecsize);
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for (size_t j = 0; j < vecsize; ++j) {
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insert_cost[j] = FastLog2(static_cast<uint32_t>(vec[j].total_count_));
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}
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for (size_t i = kSize; i != 0;) {
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--i;
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for (size_t j = 0; j < vecsize; ++j) {
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insert_cost[i * vecsize + j] = insert_cost[j] - BitCost(vec[j].data_[i]);
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}
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}
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double *cost = new double[vecsize];
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memset(cost, 0, sizeof(cost[0]) * vecsize);
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bool* switch_signal = new bool[length * vecsize];
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memset(switch_signal, 0, sizeof(switch_signal[0]) * length * vecsize);
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// After each iteration of this loop, cost[k] will contain the difference
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// between the minimum cost of arriving at the current byte position using
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// entropy code k, and the minimum cost of arriving at the current byte
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// position. This difference is capped at the block switch cost, and if it
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// reaches block switch cost, it means that when we trace back from the last
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// position, we need to switch here.
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for (size_t byte_ix = 0; byte_ix < length; ++byte_ix) {
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size_t ix = byte_ix * vecsize;
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size_t insert_cost_ix = data[byte_ix] * vecsize;
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double min_cost = 1e99;
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for (size_t k = 0; k < vecsize; ++k) {
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// We are coding the symbol in data[byte_ix] with entropy code k.
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cost[k] += insert_cost[insert_cost_ix + k];
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if (cost[k] < min_cost) {
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min_cost = cost[k];
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block_id[byte_ix] = static_cast<uint8_t>(k);
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}
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}
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double block_switch_cost = block_switch_bitcost;
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// More blocks for the beginning.
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if (byte_ix < 2000) {
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block_switch_cost *= 0.77 + 0.07 * static_cast<double>(byte_ix) / 2000;
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}
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for (size_t k = 0; k < vecsize; ++k) {
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cost[k] -= min_cost;
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if (cost[k] >= block_switch_cost) {
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cost[k] = block_switch_cost;
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switch_signal[ix + k] = true;
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}
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}
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}
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// Now trace back from the last position and switch at the marked places.
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size_t byte_ix = length - 1;
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size_t ix = byte_ix * vecsize;
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uint8_t cur_id = block_id[byte_ix];
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while (byte_ix > 0) {
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--byte_ix;
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ix -= vecsize;
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if (switch_signal[ix + cur_id]) {
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cur_id = block_id[byte_ix];
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}
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block_id[byte_ix] = cur_id;
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}
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delete[] insert_cost;
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delete[] cost;
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delete[] switch_signal;
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}
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size_t RemapBlockIds(uint8_t* block_ids, const size_t length) {
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std::map<uint8_t, uint8_t> new_id;
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size_t next_id = 0;
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for (size_t i = 0; i < length; ++i) {
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if (new_id.find(block_ids[i]) == new_id.end()) {
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new_id[block_ids[i]] = static_cast<uint8_t>(next_id);
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++next_id;
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}
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}
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for (size_t i = 0; i < length; ++i) {
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block_ids[i] = new_id[block_ids[i]];
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}
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return next_id;
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}
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template<typename HistogramType, typename DataType>
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void BuildBlockHistograms(const DataType* data, const size_t length,
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uint8_t* block_ids,
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std::vector<HistogramType>* histograms) {
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size_t num_types = RemapBlockIds(block_ids, length);
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assert(num_types <= 256);
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histograms->clear();
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histograms->resize(num_types);
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for (size_t i = 0; i < length; ++i) {
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(*histograms)[block_ids[i]].Add(data[i]);
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}
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}
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template<typename HistogramType, typename DataType>
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void ClusterBlocks(const DataType* data, const size_t length,
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uint8_t* block_ids) {
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std::vector<HistogramType> histograms;
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std::vector<uint32_t> block_index(length);
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uint32_t cur_idx = 0;
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HistogramType cur_histogram;
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for (size_t i = 0; i < length; ++i) {
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bool block_boundary = (i + 1 == length || block_ids[i] != block_ids[i + 1]);
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block_index[i] = cur_idx;
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cur_histogram.Add(data[i]);
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if (block_boundary) {
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histograms.push_back(cur_histogram);
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cur_histogram.Clear();
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++cur_idx;
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}
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}
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std::vector<HistogramType> clustered_histograms;
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std::vector<uint32_t> histogram_symbols;
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// Block ids need to fit in one byte.
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static const size_t kMaxNumberOfBlockTypes = 256;
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ClusterHistograms(histograms, 1, histograms.size(),
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kMaxNumberOfBlockTypes,
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&clustered_histograms,
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&histogram_symbols);
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for (size_t i = 0; i < length; ++i) {
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block_ids[i] = static_cast<uint8_t>(histogram_symbols[block_index[i]]);
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}
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}
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void BuildBlockSplit(const std::vector<uint8_t>& block_ids, BlockSplit* split) {
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uint8_t cur_id = block_ids[0];
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uint8_t max_type = cur_id;
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uint32_t cur_length = 1;
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for (size_t i = 1; i < block_ids.size(); ++i) {
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uint8_t next_id = block_ids[i];
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if (next_id != cur_id) {
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split->types.push_back(cur_id);
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split->lengths.push_back(cur_length);
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max_type = std::max(max_type, next_id);
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cur_id = next_id;
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cur_length = 0;
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}
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++cur_length;
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}
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split->types.push_back(cur_id);
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split->lengths.push_back(cur_length);
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split->num_types = static_cast<size_t>(max_type) + 1;
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}
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template<typename HistogramType, typename DataType>
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void SplitByteVector(const std::vector<DataType>& data,
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const size_t literals_per_histogram,
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const size_t max_histograms,
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const size_t sampling_stride_length,
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const double block_switch_cost,
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BlockSplit* split) {
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if (data.empty()) {
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split->num_types = 1;
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return;
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} else if (data.size() < kMinLengthForBlockSplitting) {
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split->num_types = 1;
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split->types.push_back(0);
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split->lengths.push_back(static_cast<uint32_t>(data.size()));
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return;
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}
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std::vector<HistogramType> histograms;
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// Find good entropy codes.
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InitialEntropyCodes(&data[0], data.size(),
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literals_per_histogram,
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max_histograms,
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sampling_stride_length,
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&histograms);
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RefineEntropyCodes(&data[0], data.size(),
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sampling_stride_length,
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&histograms);
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// Find a good path through literals with the good entropy codes.
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std::vector<uint8_t> block_ids(data.size());
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for (size_t i = 0; i < 10; ++i) {
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FindBlocks(&data[0], data.size(),
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block_switch_cost,
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histograms,
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&block_ids[0]);
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BuildBlockHistograms(&data[0], data.size(), &block_ids[0], &histograms);
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}
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ClusterBlocks<HistogramType>(&data[0], data.size(), &block_ids[0]);
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BuildBlockSplit(block_ids, split);
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}
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void SplitBlock(const Command* cmds,
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const size_t num_commands,
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const uint8_t* data,
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const size_t pos,
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const size_t mask,
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BlockSplit* literal_split,
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BlockSplit* insert_and_copy_split,
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BlockSplit* dist_split) {
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// Create a continuous array of literals.
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std::vector<uint8_t> literals;
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CopyLiteralsToByteArray(cmds, num_commands, data, pos, mask, &literals);
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// Compute prefix codes for commands.
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std::vector<uint16_t> insert_and_copy_codes;
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std::vector<uint16_t> distance_prefixes;
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CopyCommandsToByteArray(cmds, num_commands,
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&insert_and_copy_codes,
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&distance_prefixes);
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SplitByteVector<HistogramLiteral>(
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literals,
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kSymbolsPerLiteralHistogram, kMaxLiteralHistograms,
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kLiteralStrideLength, kLiteralBlockSwitchCost,
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literal_split);
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SplitByteVector<HistogramCommand>(
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insert_and_copy_codes,
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kSymbolsPerCommandHistogram, kMaxCommandHistograms,
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kCommandStrideLength, kCommandBlockSwitchCost,
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insert_and_copy_split);
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SplitByteVector<HistogramDistance>(
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distance_prefixes,
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kSymbolsPerDistanceHistogram, kMaxCommandHistograms,
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kCommandStrideLength, kDistanceBlockSwitchCost,
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dist_split);
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}
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} // namespace brotli
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