Blame src/utils/huffman_utils.c

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// Copyright 2012 Google Inc. All Rights Reserved.
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//
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// Use of this source code is governed by a BSD-style license
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// that can be found in the COPYING file in the root of the source
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// tree. An additional intellectual property rights grant can be found
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// in the file PATENTS. All contributing project authors may
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// be found in the AUTHORS file in the root of the source tree.
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// -----------------------------------------------------------------------------
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//
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// Utilities for building and looking up Huffman trees.
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//
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// Author: Urvang Joshi (urvang@google.com)
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#include <assert.h>
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#include <stdlib.h>
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#include <string.h>
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#include "src/utils/huffman_utils.h"
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#include "src/utils/utils.h"
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#include "src/webp/format_constants.h"
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// Huffman data read via DecodeImageStream is represented in two (red and green)
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// bytes.
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#define MAX_HTREE_GROUPS    0x10000
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HTreeGroup* VP8LHtreeGroupsNew(int num_htree_groups) {
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  HTreeGroup* const htree_groups =
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      (HTreeGroup*)WebPSafeMalloc(num_htree_groups, sizeof(*htree_groups));
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  if (htree_groups == NULL) {
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    return NULL;
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  }
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  assert(num_htree_groups <= MAX_HTREE_GROUPS);
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  return htree_groups;
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}
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void VP8LHtreeGroupsFree(HTreeGroup* const htree_groups) {
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  if (htree_groups != NULL) {
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    WebPSafeFree(htree_groups);
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  }
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}
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// Returns reverse(reverse(key, len) + 1, len), where reverse(key, len) is the
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// bit-wise reversal of the len least significant bits of key.
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static WEBP_INLINE uint32_t GetNextKey(uint32_t key, int len) {
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  uint32_t step = 1 << (len - 1);
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  while (key & step) {
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    step >>= 1;
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  }
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  return step ? (key & (step - 1)) + step : key;
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}
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// Stores code in table[0], table[step], table[2*step], ..., table[end].
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// Assumes that end is an integer multiple of step.
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static WEBP_INLINE void ReplicateValue(HuffmanCode* table,
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                                       int step, int end,
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                                       HuffmanCode code) {
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  assert(end % step == 0);
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  do {
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    end -= step;
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    table[end] = code;
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  } while (end > 0);
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}
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// Returns the table width of the next 2nd level table. count is the histogram
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// of bit lengths for the remaining symbols, len is the code length of the next
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// processed symbol
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static WEBP_INLINE int NextTableBitSize(const int* const count,
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                                        int len, int root_bits) {
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  int left = 1 << (len - root_bits);
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  while (len < MAX_ALLOWED_CODE_LENGTH) {
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    left -= count[len];
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    if (left <= 0) break;
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    ++len;
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    left <<= 1;
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  }
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  return len - root_bits;
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}
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// sorted[code_lengths_size] is a pre-allocated array for sorting symbols
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// by code length.
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static int BuildHuffmanTable(HuffmanCode* const root_table, int root_bits,
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                             const int code_lengths[], int code_lengths_size,
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                             uint16_t sorted[]) {
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  HuffmanCode* table = root_table;  // next available space in table
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  int total_size = 1 << root_bits;  // total size root table + 2nd level table
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  int len;                          // current code length
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  int symbol;                       // symbol index in original or sorted table
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  // number of codes of each length:
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  int count[MAX_ALLOWED_CODE_LENGTH + 1] = { 0 };
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  // offsets in sorted table for each length:
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  int offset[MAX_ALLOWED_CODE_LENGTH + 1];
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  assert(code_lengths_size != 0);
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  assert(code_lengths != NULL);
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  assert(root_table != NULL);
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  assert(root_bits > 0);
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  // Build histogram of code lengths.
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  for (symbol = 0; symbol < code_lengths_size; ++symbol) {
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    if (code_lengths[symbol] > MAX_ALLOWED_CODE_LENGTH) {
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      return 0;
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    }
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    ++count[code_lengths[symbol]];
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  }
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  // Error, all code lengths are zeros.
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  if (count[0] == code_lengths_size) {
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    return 0;
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  }
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  // Generate offsets into sorted symbol table by code length.
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  offset[1] = 0;
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  for (len = 1; len < MAX_ALLOWED_CODE_LENGTH; ++len) {
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    if (count[len] > (1 << len)) {
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      return 0;
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    }
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    offset[len + 1] = offset[len] + count[len];
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  }
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  // Sort symbols by length, by symbol order within each length.
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  for (symbol = 0; symbol < code_lengths_size; ++symbol) {
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    const int symbol_code_length = code_lengths[symbol];
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    if (code_lengths[symbol] > 0) {
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      sorted[offset[symbol_code_length]++] = symbol;
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    }
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  }
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  // Special case code with only one value.
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  if (offset[MAX_ALLOWED_CODE_LENGTH] == 1) {
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    HuffmanCode code;
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    code.bits = 0;
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    code.value = (uint16_t)sorted[0];
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    ReplicateValue(table, 1, total_size, code);
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    return total_size;
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  }
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  {
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    int step;              // step size to replicate values in current table
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    uint32_t low = -1;     // low bits for current root entry
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    uint32_t mask = total_size - 1;    // mask for low bits
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    uint32_t key = 0;      // reversed prefix code
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    int num_nodes = 1;     // number of Huffman tree nodes
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    int num_open = 1;      // number of open branches in current tree level
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    int table_bits = root_bits;        // key length of current table
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    int table_size = 1 << table_bits;  // size of current table
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    symbol = 0;
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    // Fill in root table.
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    for (len = 1, step = 2; len <= root_bits; ++len, step <<= 1) {
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      num_open <<= 1;
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      num_nodes += num_open;
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      num_open -= count[len];
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      if (num_open < 0) {
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        return 0;
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      }
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      for (; count[len] > 0; --count[len]) {
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        HuffmanCode code;
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        code.bits = (uint8_t)len;
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        code.value = (uint16_t)sorted[symbol++];
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        ReplicateValue(&table[key], step, table_size, code);
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        key = GetNextKey(key, len);
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      }
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    }
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    // Fill in 2nd level tables and add pointers to root table.
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    for (len = root_bits + 1, step = 2; len <= MAX_ALLOWED_CODE_LENGTH;
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         ++len, step <<= 1) {
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      num_open <<= 1;
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      num_nodes += num_open;
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      num_open -= count[len];
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      if (num_open < 0) {
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        return 0;
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      }
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      for (; count[len] > 0; --count[len]) {
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        HuffmanCode code;
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        if ((key & mask) != low) {
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          table += table_size;
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          table_bits = NextTableBitSize(count, len, root_bits);
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          table_size = 1 << table_bits;
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          total_size += table_size;
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          low = key & mask;
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          root_table[low].bits = (uint8_t)(table_bits + root_bits);
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          root_table[low].value = (uint16_t)((table - root_table) - low);
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        }
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        code.bits = (uint8_t)(len - root_bits);
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        code.value = (uint16_t)sorted[symbol++];
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        ReplicateValue(&table[key >> root_bits], step, table_size, code);
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        key = GetNextKey(key, len);
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      }
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    }
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    // Check if tree is full.
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    if (num_nodes != 2 * offset[MAX_ALLOWED_CODE_LENGTH] - 1) {
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      return 0;
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    }
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  }
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  return total_size;
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}
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// Maximum code_lengths_size is 2328 (reached for 11-bit color_cache_bits).
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// More commonly, the value is around ~280.
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#define MAX_CODE_LENGTHS_SIZE \
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  ((1 << MAX_CACHE_BITS) + NUM_LITERAL_CODES + NUM_LENGTH_CODES)
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// Cut-off value for switching between heap and stack allocation.
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#define SORTED_SIZE_CUTOFF 512
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int VP8LBuildHuffmanTable(HuffmanCode* const root_table, int root_bits,
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                          const int code_lengths[], int code_lengths_size) {
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  int total_size;
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  assert(code_lengths_size <= MAX_CODE_LENGTHS_SIZE);
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  if (code_lengths_size <= SORTED_SIZE_CUTOFF) {
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    // use local stack-allocated array.
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    uint16_t sorted[SORTED_SIZE_CUTOFF];
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    total_size = BuildHuffmanTable(root_table, root_bits,
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                                   code_lengths, code_lengths_size, sorted);
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  } else {   // rare case. Use heap allocation.
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    uint16_t* const sorted =
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        (uint16_t*)WebPSafeMalloc(code_lengths_size, sizeof(*sorted));
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    if (sorted == NULL) return 0;
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    total_size = BuildHuffmanTable(root_table, root_bits,
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                                   code_lengths, code_lengths_size, sorted);
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    WebPSafeFree(sorted);
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  }
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  return total_size;
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}