Merge "speed-up lossless (~3%) with ad-hoc histogram cost evaluation" into 0.3.0
This commit is contained in:
commit
401f7b856f
@ -98,8 +98,6 @@ void VP8LHistogramAddSinglePixOrCopy(VP8LHistogram* const histo,
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}
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}
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static double BitsEntropy(const int* const array, int n) {
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double retval = 0.;
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int sum = 0;
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@ -149,25 +147,6 @@ static double BitsEntropy(const int* const array, int n) {
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}
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}
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double VP8LHistogramEstimateBitsBulk(const VP8LHistogram* const p) {
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double retval = BitsEntropy(&p->literal_[0], VP8LHistogramNumCodes(p))
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+ BitsEntropy(&p->red_[0], 256)
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+ BitsEntropy(&p->blue_[0], 256)
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+ BitsEntropy(&p->alpha_[0], 256)
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+ BitsEntropy(&p->distance_[0], NUM_DISTANCE_CODES);
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// Compute the extra bits cost.
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int i;
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for (i = 2; i < NUM_LENGTH_CODES - 2; ++i) {
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retval +=
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(i >> 1) * p->literal_[256 + i + 2];
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}
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for (i = 2; i < NUM_DISTANCE_CODES - 2; ++i) {
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retval += (i >> 1) * p->distance_[i + 2];
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}
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return retval;
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}
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// Returns the cost encode the rle-encoded entropy code.
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// The constants in this function are experimental.
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static double HuffmanCost(const int* const population, int length) {
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@ -207,19 +186,150 @@ static double HuffmanCost(const int* const population, int length) {
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return retval;
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}
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// Estimates the Huffman dictionary + other block overhead size.
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static double HistogramEstimateBitsHeader(const VP8LHistogram* const p) {
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return HuffmanCost(&p->alpha_[0], 256) +
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HuffmanCost(&p->red_[0], 256) +
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HuffmanCost(&p->literal_[0], VP8LHistogramNumCodes(p)) +
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HuffmanCost(&p->blue_[0], 256) +
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HuffmanCost(&p->distance_[0], NUM_DISTANCE_CODES);
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static double PopulationCost(const int* const population, int length) {
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return BitsEntropy(population, length) + HuffmanCost(population, length);
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}
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double VP8LHistogramEstimateBits(const VP8LHistogram* const p) {
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return HistogramEstimateBitsHeader(p) + VP8LHistogramEstimateBitsBulk(p);
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static double ExtraCost(const int* const population, int length) {
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int i;
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double cost = 0.;
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for (i = 2; i < length - 2; ++i) cost += (i >> 1) * population[i + 2];
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return cost;
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}
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// Estimates the Entropy + Huffman + other block overhead size cost.
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double VP8LHistogramEstimateBits(const VP8LHistogram* const p) {
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return PopulationCost(p->literal_, VP8LHistogramNumCodes(p))
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+ PopulationCost(p->red_, 256)
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+ PopulationCost(p->blue_, 256)
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+ PopulationCost(p->alpha_, 256)
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+ PopulationCost(p->distance_, NUM_DISTANCE_CODES)
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+ ExtraCost(p->literal_ + 256, NUM_LENGTH_CODES)
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+ ExtraCost(p->distance_, NUM_DISTANCE_CODES);
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}
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double VP8LHistogramEstimateBitsBulk(const VP8LHistogram* const p) {
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return BitsEntropy(p->literal_, VP8LHistogramNumCodes(p))
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+ BitsEntropy(p->red_, 256)
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+ BitsEntropy(p->blue_, 256)
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+ BitsEntropy(p->alpha_, 256)
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+ BitsEntropy(p->distance_, NUM_DISTANCE_CODES)
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+ ExtraCost(p->literal_ + 256, NUM_LENGTH_CODES)
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+ ExtraCost(p->distance_, NUM_DISTANCE_CODES);
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}
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// -----------------------------------------------------------------------------
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// Various histogram combine/cost-eval functions
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// Adds 'in' histogram to 'out'
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static void HistogramAdd(const VP8LHistogram* const in,
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VP8LHistogram* const out) {
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int i;
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for (i = 0; i < PIX_OR_COPY_CODES_MAX; ++i) {
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out->literal_[i] += in->literal_[i];
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}
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for (i = 0; i < NUM_DISTANCE_CODES; ++i) {
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out->distance_[i] += in->distance_[i];
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}
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for (i = 0; i < 256; ++i) {
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out->red_[i] += in->red_[i];
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out->blue_[i] += in->blue_[i];
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out->alpha_[i] += in->alpha_[i];
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}
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}
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// Performs out = a + b, computing the cost C(a+b) - C(a) - C(b) while comparing
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// to the threshold value 'cost_threshold'. The score returned is
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// Score = C(a+b) - C(a) - C(b), where C(a) + C(b) is known and fixed.
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// Since the previous score passed is 'cost_threshold', we only need to compare
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// the partial cost against 'cost_threshold + C(a) + C(b)' to possibly bail-out
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// early.
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static double HistogramAddEval(const VP8LHistogram* const a,
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const VP8LHistogram* const b,
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VP8LHistogram* const out,
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double cost_threshold) {
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double cost = 0;
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const double sum_cost = a->bit_cost_ + b->bit_cost_;
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int i;
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cost_threshold += sum_cost;
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// palette_code_bits_ is part of the cost evaluation for literal_.
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// TODO(skal): remove/simplify this palette_code_bits_?
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out->palette_code_bits_ =
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(a->palette_code_bits_ > b->palette_code_bits_) ? a->palette_code_bits_ :
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b->palette_code_bits_;
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for (i = 0; i < PIX_OR_COPY_CODES_MAX; ++i) {
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out->literal_[i] = a->literal_[i] + b->literal_[i];
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}
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cost += PopulationCost(out->literal_, VP8LHistogramNumCodes(out));
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cost += ExtraCost(out->literal_ + 256, NUM_LENGTH_CODES);
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if (cost > cost_threshold) return cost;
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for (i = 0; i < 256; ++i) out->red_[i] = a->red_[i] + b->red_[i];
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cost += PopulationCost(out->red_, 256);
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if (cost > cost_threshold) return cost;
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for (i = 0; i < 256; ++i) out->blue_[i] = a->blue_[i] + b->blue_[i];
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cost += PopulationCost(out->blue_, 256);
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if (cost > cost_threshold) return cost;
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for (i = 0; i < NUM_DISTANCE_CODES; ++i) {
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out->distance_[i] = a->distance_[i] + b->distance_[i];
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}
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cost += PopulationCost(out->distance_, NUM_DISTANCE_CODES);
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cost += ExtraCost(out->distance_, NUM_DISTANCE_CODES);
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if (cost > cost_threshold) return cost;
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for (i = 0; i < 256; ++i) out->alpha_[i] = a->alpha_[i] + b->alpha_[i];
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cost += PopulationCost(out->alpha_, 256);
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out->bit_cost_ = cost;
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return cost - sum_cost;
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}
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// Same as HistogramAddEval(), except that the resulting histogram
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// is not stored. Only the cost C(a+b) - C(a) is evaluated. We omit
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// the term C(b) which is constant over all the evaluations.
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static double HistogramAddThresh(const VP8LHistogram* const a,
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const VP8LHistogram* const b,
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double cost_threshold) {
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int tmp[PIX_OR_COPY_CODES_MAX]; // <= max storage we'll need
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int i;
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double cost = -a->bit_cost_;
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for (i = 0; i < PIX_OR_COPY_CODES_MAX; ++i) {
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tmp[i] = a->literal_[i] + b->literal_[i];
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}
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// note that the tests are ordered so that the usually largest
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// cost shares come first.
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cost += PopulationCost(tmp, VP8LHistogramNumCodes(a));
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cost += ExtraCost(tmp + 256, NUM_LENGTH_CODES);
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if (cost > cost_threshold) return cost;
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for (i = 0; i < 256; ++i) tmp[i] = a->red_[i] + b->red_[i];
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cost += PopulationCost(tmp, 256);
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if (cost > cost_threshold) return cost;
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for (i = 0; i < 256; ++i) tmp[i] = a->blue_[i] + b->blue_[i];
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cost += PopulationCost(tmp, 256);
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if (cost > cost_threshold) return cost;
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for (i = 0; i < NUM_DISTANCE_CODES; ++i) {
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tmp[i] = a->distance_[i] + b->distance_[i];
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}
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cost += PopulationCost(tmp, NUM_DISTANCE_CODES);
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cost += ExtraCost(tmp, NUM_DISTANCE_CODES);
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if (cost > cost_threshold) return cost;
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for (i = 0; i < 256; ++i) tmp[i] = a->alpha_[i] + b->alpha_[i];
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cost += PopulationCost(tmp, 256);
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return cost;
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}
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// -----------------------------------------------------------------------------
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static void HistogramBuildImage(int xsize, int histo_bits,
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const VP8LBackwardRefs* const backward_refs,
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VP8LHistogramSet* const image) {
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@ -273,7 +383,7 @@ static int HistogramCombine(const VP8LHistogramSet* const in,
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// Collapse similar histograms in 'out'.
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for (iter = 0; iter < outer_iters && out_size >= min_cluster_size; ++iter) {
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double best_cost_diff = 0.;
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int best_idx1 = 0, best_idx2 = 1;
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int best_idx1 = -1, best_idx2 = 1;
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int j;
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const int num_tries = (num_pairs < out_size) ? num_pairs : out_size;
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seed += iter;
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@ -281,20 +391,17 @@ static int HistogramCombine(const VP8LHistogramSet* const in,
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double curr_cost_diff;
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// Choose two histograms at random and try to combine them.
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const uint32_t idx1 = MyRand(&seed) % out_size;
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const uint32_t tmp = ((j & 7) + 1) % (out_size - 1);
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const uint32_t tmp = (j & 7) + 1;
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const uint32_t diff = (tmp < 3) ? tmp : MyRand(&seed) % (out_size - 1);
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const uint32_t idx2 = (idx1 + diff + 1) % out_size;
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if (idx1 == idx2) {
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continue;
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}
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*cur_combo = *out->histograms[idx1];
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VP8LHistogramAdd(cur_combo, out->histograms[idx2]);
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cur_combo->bit_cost_ = VP8LHistogramEstimateBits(cur_combo);
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// Calculate cost reduction on combining.
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curr_cost_diff = cur_combo->bit_cost_
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- out->histograms[idx1]->bit_cost_
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- out->histograms[idx2]->bit_cost_;
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if (best_cost_diff > curr_cost_diff) { // found a better pair?
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curr_cost_diff = HistogramAddEval(out->histograms[idx1],
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out->histograms[idx2],
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cur_combo, best_cost_diff);
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if (curr_cost_diff < best_cost_diff) { // found a better pair?
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{ // swap cur/best combo histograms
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VP8LHistogram* const tmp_histo = cur_combo;
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cur_combo = best_combo;
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@ -306,7 +413,7 @@ static int HistogramCombine(const VP8LHistogramSet* const in,
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}
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}
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if (best_cost_diff < 0.0) {
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if (best_idx1 >= 0) {
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*out->histograms[best_idx1] = *best_combo;
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// swap best_idx2 slot with last one (which is now unused)
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--out_size;
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@ -331,20 +438,11 @@ static int HistogramCombine(const VP8LHistogramSet* const in,
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// -----------------------------------------------------------------------------
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// Histogram refinement
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// What is the bit cost of moving square_histogram from
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// cur_symbol to candidate_symbol.
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// TODO(skal): we don't really need to copy the histogram and Add(). Instead
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// we just need VP8LDualHistogramEstimateBits(A, B) estimation function.
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// What is the bit cost of moving square_histogram from cur_symbol to candidate.
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static double HistogramDistance(const VP8LHistogram* const square_histogram,
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const VP8LHistogram* const candidate) {
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const double previous_bit_cost = candidate->bit_cost_;
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double new_bit_cost;
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VP8LHistogram modified_histo;
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modified_histo = *candidate;
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VP8LHistogramAdd(&modified_histo, square_histogram);
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new_bit_cost = VP8LHistogramEstimateBits(&modified_histo);
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return new_bit_cost - previous_bit_cost;
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const VP8LHistogram* const candidate,
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double cost_threshold) {
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return HistogramAddThresh(candidate, square_histogram, cost_threshold);
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}
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// Find the best 'out' histogram for each of the 'in' histograms.
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@ -355,11 +453,12 @@ static void HistogramRemap(const VP8LHistogramSet* const in,
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int i;
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for (i = 0; i < in->size; ++i) {
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int best_out = 0;
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double best_bits = HistogramDistance(in->histograms[i], out->histograms[0]);
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double best_bits =
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HistogramDistance(in->histograms[i], out->histograms[0], 1.e38);
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int k;
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for (k = 1; k < out->size; ++k) {
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const double cur_bits =
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HistogramDistance(in->histograms[i], out->histograms[k]);
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HistogramDistance(in->histograms[i], out->histograms[k], best_bits);
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if (cur_bits < best_bits) {
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best_bits = cur_bits;
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best_out = k;
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@ -373,7 +472,7 @@ static void HistogramRemap(const VP8LHistogramSet* const in,
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HistogramClear(out->histograms[i]);
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}
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for (i = 0; i < in->size; ++i) {
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VP8LHistogramAdd(out->histograms[symbols[i]], in->histograms[i]);
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HistogramAdd(in->histograms[i], out->histograms[symbols[i]]);
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}
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}
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@ -80,22 +80,6 @@ double VP8LHistogramEstimateBits(const VP8LHistogram* const p);
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// represent the entropy code itself.
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double VP8LHistogramEstimateBitsBulk(const VP8LHistogram* const p);
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static WEBP_INLINE void VP8LHistogramAdd(VP8LHistogram* const p,
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const VP8LHistogram* const a) {
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int i;
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for (i = 0; i < PIX_OR_COPY_CODES_MAX; ++i) {
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p->literal_[i] += a->literal_[i];
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}
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for (i = 0; i < NUM_DISTANCE_CODES; ++i) {
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p->distance_[i] += a->distance_[i];
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}
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for (i = 0; i < 256; ++i) {
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p->red_[i] += a->red_[i];
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p->blue_[i] += a->blue_[i];
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p->alpha_[i] += a->alpha_[i];
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}
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}
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static WEBP_INLINE int VP8LHistogramNumCodes(const VP8LHistogram* const p) {
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return 256 + NUM_LENGTH_CODES +
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((p->palette_code_bits_ > 0) ? (1 << p->palette_code_bits_) : 0);
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@ -563,6 +563,9 @@ static int EncodeImageInternal(VP8LBitWriter* const bw,
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!GetHuffBitLengthsAndCodes(histogram_image, huffman_codes)) {
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goto Error;
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}
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// Free combined histograms.
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free(histogram_image);
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histogram_image = NULL;
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// Color Cache parameters.
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VP8LWriteBits(bw, 1, use_color_cache);
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@ -609,9 +612,6 @@ static int EncodeImageInternal(VP8LBitWriter* const bw,
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ClearHuffmanTreeIfOnlyOneSymbol(codes);
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}
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}
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// Free combined histograms.
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free(histogram_image);
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histogram_image = NULL;
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// Store actual literals.
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StoreImageToBitMask(bw, width, histogram_bits, &refs,
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@ -619,7 +619,7 @@ static int EncodeImageInternal(VP8LBitWriter* const bw,
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ok = 1;
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Error:
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if (!ok) free(histogram_image);
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free(histogram_image);
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VP8LClearBackwardRefs(&refs);
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if (huffman_codes != NULL) {
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