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Side by Side Diff: third_party/brotli/enc/bit_cost.h

Issue 2537133002: Update brotli to v1.0.0-snapshot. (Closed)
Patch Set: Fixed typo Created 4 years ago
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1 /* Copyright 2013 Google Inc. All Rights Reserved. 1 /* Copyright 2013 Google Inc. All Rights Reserved.
2 2
3 Distributed under MIT license. 3 Distributed under MIT license.
4 See file LICENSE for detail or copy at https://opensource.org/licenses/MIT 4 See file LICENSE for detail or copy at https://opensource.org/licenses/MIT
5 */ 5 */
6 6
7 // Functions to estimate the bit cost of Huffman trees. 7 /* Functions to estimate the bit cost of Huffman trees. */
8 8
9 #ifndef BROTLI_ENC_BIT_COST_H_ 9 #ifndef BROTLI_ENC_BIT_COST_H_
10 #define BROTLI_ENC_BIT_COST_H_ 10 #define BROTLI_ENC_BIT_COST_H_
11 11
12 #include "./entropy_encode.h" 12 #include <brotli/types.h>
13 #include "./fast_log.h" 13 #include "./fast_log.h"
14 #include "./types.h" 14 #include "./histogram.h"
15 #include "./port.h"
15 16
16 namespace brotli { 17 #if defined(__cplusplus) || defined(c_plusplus)
18 extern "C" {
19 #endif
17 20
18 static inline double ShannonEntropy(const uint32_t *population, size_t size, 21 static BROTLI_INLINE double ShannonEntropy(const uint32_t *population,
19 size_t *total) { 22 size_t size, size_t *total) {
20 size_t sum = 0; 23 size_t sum = 0;
21 double retval = 0; 24 double retval = 0;
22 const uint32_t *population_end = population + size; 25 const uint32_t *population_end = population + size;
23 size_t p; 26 size_t p;
24 if (size & 1) { 27 if (size & 1) {
25 goto odd_number_of_elements_left; 28 goto odd_number_of_elements_left;
26 } 29 }
27 while (population < population_end) { 30 while (population < population_end) {
28 p = *population++; 31 p = *population++;
29 sum += p; 32 sum += p;
30 retval -= static_cast<double>(p) * FastLog2(p); 33 retval -= (double)p * FastLog2(p);
31 odd_number_of_elements_left: 34 odd_number_of_elements_left:
32 p = *population++; 35 p = *population++;
33 sum += p; 36 sum += p;
34 retval -= static_cast<double>(p) * FastLog2(p); 37 retval -= (double)p * FastLog2(p);
35 } 38 }
36 if (sum) retval += static_cast<double>(sum) * FastLog2(sum); 39 if (sum) retval += (double)sum * FastLog2(sum);
37 *total = sum; 40 *total = sum;
38 return retval; 41 return retval;
39 } 42 }
40 43
41 static inline double BitsEntropy(const uint32_t *population, size_t size) { 44 static BROTLI_INLINE double BitsEntropy(
45 const uint32_t *population, size_t size) {
42 size_t sum; 46 size_t sum;
43 double retval = ShannonEntropy(population, size, &sum); 47 double retval = ShannonEntropy(population, size, &sum);
44 if (retval < sum) { 48 if (retval < sum) {
45 // At least one bit per literal is needed. 49 /* At least one bit per literal is needed. */
46 retval = static_cast<double>(sum); 50 retval = (double)sum;
47 } 51 }
48 return retval; 52 return retval;
49 } 53 }
50 54
51 template<int kSize> 55 BROTLI_INTERNAL double BrotliPopulationCostLiteral(const HistogramLiteral*);
52 double PopulationCost(const Histogram<kSize>& histogram) { 56 BROTLI_INTERNAL double BrotliPopulationCostCommand(const HistogramCommand*);
53 static const double kOneSymbolHistogramCost = 12; 57 BROTLI_INTERNAL double BrotliPopulationCostDistance(const HistogramDistance*);
54 static const double kTwoSymbolHistogramCost = 20;
55 static const double kThreeSymbolHistogramCost = 28;
56 static const double kFourSymbolHistogramCost = 37;
57 if (histogram.total_count_ == 0) {
58 return kOneSymbolHistogramCost;
59 }
60 int count = 0;
61 int s[5];
62 for (int i = 0; i < kSize; ++i) {
63 if (histogram.data_[i] > 0) {
64 s[count] = i;
65 ++count;
66 if (count > 4) break;
67 }
68 }
69 if (count == 1) {
70 return kOneSymbolHistogramCost;
71 }
72 if (count == 2) {
73 return (kTwoSymbolHistogramCost +
74 static_cast<double>(histogram.total_count_));
75 }
76 if (count == 3) {
77 const uint32_t histo0 = histogram.data_[s[0]];
78 const uint32_t histo1 = histogram.data_[s[1]];
79 const uint32_t histo2 = histogram.data_[s[2]];
80 const uint32_t histomax = std::max(histo0, std::max(histo1, histo2));
81 return (kThreeSymbolHistogramCost +
82 2 * (histo0 + histo1 + histo2) - histomax);
83 }
84 if (count == 4) {
85 uint32_t histo[4];
86 for (int i = 0; i < 4; ++i) {
87 histo[i] = histogram.data_[s[i]];
88 }
89 // Sort
90 for (int i = 0; i < 4; ++i) {
91 for (int j = i + 1; j < 4; ++j) {
92 if (histo[j] > histo[i]) {
93 std::swap(histo[j], histo[i]);
94 }
95 }
96 }
97 const uint32_t h23 = histo[2] + histo[3];
98 const uint32_t histomax = std::max(h23, histo[0]);
99 return (kFourSymbolHistogramCost +
100 3 * h23 + 2 * (histo[0] + histo[1]) - histomax);
101 }
102 58
103 // In this loop we compute the entropy of the histogram and simultaneously 59 #if defined(__cplusplus) || defined(c_plusplus)
104 // build a simplified histogram of the code length codes where we use the 60 } /* extern "C" */
105 // zero repeat code 17, but we don't use the non-zero repeat code 16. 61 #endif
106 double bits = 0;
107 size_t max_depth = 1;
108 uint32_t depth_histo[kCodeLengthCodes] = { 0 };
109 const double log2total = FastLog2(histogram.total_count_);
110 for (size_t i = 0; i < kSize;) {
111 if (histogram.data_[i] > 0) {
112 // Compute -log2(P(symbol)) = -log2(count(symbol)/total_count) =
113 // = log2(total_count) - log2(count(symbol))
114 double log2p = log2total - FastLog2(histogram.data_[i]);
115 // Approximate the bit depth by round(-log2(P(symbol)))
116 size_t depth = static_cast<size_t>(log2p + 0.5);
117 bits += histogram.data_[i] * log2p;
118 if (depth > 15) {
119 depth = 15;
120 }
121 if (depth > max_depth) {
122 max_depth = depth;
123 }
124 ++depth_histo[depth];
125 ++i;
126 } else {
127 // Compute the run length of zeros and add the appropriate number of 0 and
128 // 17 code length codes to the code length code histogram.
129 uint32_t reps = 1;
130 for (size_t k = i + 1; k < kSize && histogram.data_[k] == 0; ++k) {
131 ++reps;
132 }
133 i += reps;
134 if (i == kSize) {
135 // Don't add any cost for the last zero run, since these are encoded
136 // only implicitly.
137 break;
138 }
139 if (reps < 3) {
140 depth_histo[0] += reps;
141 } else {
142 reps -= 2;
143 while (reps > 0) {
144 ++depth_histo[17];
145 // Add the 3 extra bits for the 17 code length code.
146 bits += 3;
147 reps >>= 3;
148 }
149 }
150 }
151 }
152 // Add the estimated encoding cost of the code length code histogram.
153 bits += static_cast<double>(18 + 2 * max_depth);
154 // Add the entropy of the code length code histogram.
155 bits += BitsEntropy(depth_histo, kCodeLengthCodes);
156 return bits;
157 }
158 62
159 } // namespace brotli 63 #endif /* BROTLI_ENC_BIT_COST_H_ */
160
161 #endif // BROTLI_ENC_BIT_COST_H_
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