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literal_cost.c (5877B)


      1 /* Copyright 2013 Google Inc. All Rights Reserved.
      2 
      3   Distributed under MIT license.
      4   See file LICENSE for detail or copy at https://opensource.org/licenses/MIT
      5 */
      6 
      7 /* Literal cost model to allow backward reference replacement to be efficient.
      8 */
      9 
     10 #include "literal_cost.h"
     11 
     12 #include "../common/platform.h"
     13 #include "fast_log.h"
     14 #include "utf8_util.h"
     15 
     16 #if defined(__cplusplus) || defined(c_plusplus)
     17 extern "C" {
     18 #endif
     19 
     20 static size_t UTF8Position(size_t last, size_t c, size_t clamp) {
     21  if (c < 128) {
     22    return 0;  /* Next one is the 'Byte 1' again. */
     23  } else if (c >= 192) {  /* Next one is the 'Byte 2' of utf-8 encoding. */
     24    return BROTLI_MIN(size_t, 1, clamp);
     25  } else {
     26    /* Let's decide over the last byte if this ends the sequence. */
     27    if (last < 0xE0) {
     28      return 0;  /* Completed two or three byte coding. */
     29    } else {  /* Next one is the 'Byte 3' of utf-8 encoding. */
     30      return BROTLI_MIN(size_t, 2, clamp);
     31    }
     32  }
     33 }
     34 
     35 static size_t DecideMultiByteStatsLevel(size_t pos, size_t len, size_t mask,
     36                                        const uint8_t* data) {
     37  size_t counts[3] = { 0 };
     38  size_t max_utf8 = 1;  /* should be 2, but 1 compresses better. */
     39  size_t last_c = 0;
     40  size_t i;
     41  for (i = 0; i < len; ++i) {
     42    size_t c = data[(pos + i) & mask];
     43    ++counts[UTF8Position(last_c, c, 2)];
     44    last_c = c;
     45  }
     46  if (counts[2] < 500) {
     47    max_utf8 = 1;
     48  }
     49  if (counts[1] + counts[2] < 25) {
     50    max_utf8 = 0;
     51  }
     52  return max_utf8;
     53 }
     54 
     55 static void EstimateBitCostsForLiteralsUTF8(size_t pos, size_t len, size_t mask,
     56                                            const uint8_t* data,
     57                                            size_t* histogram, float* cost) {
     58  /* max_utf8 is 0 (normal ASCII single byte modeling),
     59     1 (for 2-byte UTF-8 modeling), or 2 (for 3-byte UTF-8 modeling). */
     60  const size_t max_utf8 = DecideMultiByteStatsLevel(pos, len, mask, data);
     61  size_t window_half = 495;
     62  size_t in_window = BROTLI_MIN(size_t, window_half, len);
     63  size_t in_window_utf8[3] = { 0 };
     64  size_t i;
     65  memset(histogram, 0, 3 * 256 * sizeof(histogram[0]));
     66 
     67  {  /* Bootstrap histograms. */
     68    size_t last_c = 0;
     69    size_t utf8_pos = 0;
     70    for (i = 0; i < in_window; ++i) {
     71      size_t c = data[(pos + i) & mask];
     72      ++histogram[256 * utf8_pos + c];
     73      ++in_window_utf8[utf8_pos];
     74      utf8_pos = UTF8Position(last_c, c, max_utf8);
     75      last_c = c;
     76    }
     77  }
     78 
     79  /* Compute bit costs with sliding window. */
     80  for (i = 0; i < len; ++i) {
     81    if (i >= window_half) {
     82      /* Remove a byte in the past. */
     83      size_t c =
     84          i < window_half + 1 ? 0 : data[(pos + i - window_half - 1) & mask];
     85      size_t last_c =
     86          i < window_half + 2 ? 0 : data[(pos + i - window_half - 2) & mask];
     87      size_t utf8_pos2 = UTF8Position(last_c, c, max_utf8);
     88      --histogram[256 * utf8_pos2 + data[(pos + i - window_half) & mask]];
     89      --in_window_utf8[utf8_pos2];
     90    }
     91    if (i + window_half < len) {
     92      /* Add a byte in the future. */
     93      size_t c = data[(pos + i + window_half - 1) & mask];
     94      size_t last_c = data[(pos + i + window_half - 2) & mask];
     95      size_t utf8_pos2 = UTF8Position(last_c, c, max_utf8);
     96      ++histogram[256 * utf8_pos2 + data[(pos + i + window_half) & mask]];
     97      ++in_window_utf8[utf8_pos2];
     98    }
     99    {
    100      size_t c = i < 1 ? 0 : data[(pos + i - 1) & mask];
    101      size_t last_c = i < 2 ? 0 : data[(pos + i - 2) & mask];
    102      size_t utf8_pos = UTF8Position(last_c, c, max_utf8);
    103      size_t masked_pos = (pos + i) & mask;
    104      size_t histo = histogram[256 * utf8_pos + data[masked_pos]];
    105      static const size_t prologue_length = 2000;
    106      static const double multiplier = 0.35 / 2000;
    107      double lit_cost;
    108      if (histo == 0) {
    109        histo = 1;
    110      }
    111      lit_cost = FastLog2(in_window_utf8[utf8_pos]) - FastLog2(histo);
    112      lit_cost += 0.02905;
    113      if (lit_cost < 1.0) {
    114        lit_cost *= 0.5;
    115        lit_cost += 0.5;
    116      }
    117      /* Make the first bytes more expensive -- seems to help, not sure why.
    118         Perhaps because the entropy source is changing its properties
    119         rapidly in the beginning of the file, perhaps because the beginning
    120         of the data is a statistical "anomaly". */
    121      if (i < prologue_length) {
    122        lit_cost += 0.35 + multiplier * (double)i;
    123      }
    124      cost[i] = (float)lit_cost;
    125    }
    126  }
    127 }
    128 
    129 void BrotliEstimateBitCostsForLiterals(size_t pos, size_t len, size_t mask,
    130                                       const uint8_t* data,
    131                                       size_t* histogram, float* cost) {
    132  if (BrotliIsMostlyUTF8(data, pos, mask, len, kMinUTF8Ratio)) {
    133    EstimateBitCostsForLiteralsUTF8(pos, len, mask, data, histogram, cost);
    134    return;
    135  } else {
    136    size_t window_half = 2000;
    137    size_t in_window = BROTLI_MIN(size_t, window_half, len);
    138    size_t i;
    139    memset(histogram, 0, 256 * sizeof(histogram[0]));
    140 
    141    /* Bootstrap histogram. */
    142    for (i = 0; i < in_window; ++i) {
    143      ++histogram[data[(pos + i) & mask]];
    144    }
    145 
    146    /* Compute bit costs with sliding window. */
    147    for (i = 0; i < len; ++i) {
    148      size_t histo;
    149      if (i >= window_half) {
    150        /* Remove a byte in the past. */
    151        --histogram[data[(pos + i - window_half) & mask]];
    152        --in_window;
    153      }
    154      if (i + window_half < len) {
    155        /* Add a byte in the future. */
    156        ++histogram[data[(pos + i + window_half) & mask]];
    157        ++in_window;
    158      }
    159      histo = histogram[data[(pos + i) & mask]];
    160      if (histo == 0) {
    161        histo = 1;
    162      }
    163      {
    164        double lit_cost = FastLog2(in_window) - FastLog2(histo);
    165        lit_cost += 0.029;
    166        if (lit_cost < 1.0) {
    167          lit_cost *= 0.5;
    168          lit_cost += 0.5;
    169        }
    170        cost[i] = (float)lit_cost;
    171      }
    172    }
    173  }
    174 }
    175 
    176 #if defined(__cplusplus) || defined(c_plusplus)
    177 }  /* extern "C" */
    178 #endif