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// Copyright 2012 Google Inc. All Rights Reserved.
//
// Use of this source code is governed by a BSD-style license
// that can be found in the COPYING file in the root of the source
// tree. An additional intellectual property rights grant can be found
// in the file PATENTS. All contributing project authors may
// be found in the AUTHORS file in the root of the source tree.
// -----------------------------------------------------------------------------
//
// Author: Jyrki Alakuijala (jyrki@google.com)
//
#ifdef HAVE_CONFIG_H
#include "src/webp/config.h"
#endif
#include <float.h>
#include <math.h>
#include "src/dsp/lossless.h"
#include "src/dsp/lossless_common.h"
#include "src/enc/backward_references_enc.h"
#include "src/enc/histogram_enc.h"
#include "src/enc/vp8i_enc.h"
#include "src/utils/utils.h"
#define MAX_BIT_COST FLT_MAX
// Number of partitions for the three dominant (literal, red and blue) symbol
// costs.
#define NUM_PARTITIONS 4
// The size of the bin-hash corresponding to the three dominant costs.
#define BIN_SIZE (NUM_PARTITIONS * NUM_PARTITIONS * NUM_PARTITIONS)
// Maximum number of histograms allowed in greedy combining algorithm.
#define MAX_HISTO_GREEDY 100
static void HistogramClear(VP8LHistogram* const p) {
uint32_t* const literal = p->literal_;
const int cache_bits = p->palette_code_bits_;
const int histo_size = VP8LGetHistogramSize(cache_bits);
memset(p, 0, histo_size);
p->palette_code_bits_ = cache_bits;
p->literal_ = literal;
}
// Swap two histogram pointers.
static void HistogramSwap(VP8LHistogram** const A, VP8LHistogram** const B) {
VP8LHistogram* const tmp = *A;
*A = *B;
*B = tmp;
}
static void HistogramCopy(const VP8LHistogram* const src,
VP8LHistogram* const dst) {
uint32_t* const dst_literal = dst->literal_;
const int dst_cache_bits = dst->palette_code_bits_;
const int literal_size = VP8LHistogramNumCodes(dst_cache_bits);
const int histo_size = VP8LGetHistogramSize(dst_cache_bits);
assert(src->palette_code_bits_ == dst_cache_bits);
memcpy(dst, src, histo_size);
dst->literal_ = dst_literal;
memcpy(dst->literal_, src->literal_, literal_size * sizeof(*dst->literal_));
}
int VP8LGetHistogramSize(int cache_bits) {
const int literal_size = VP8LHistogramNumCodes(cache_bits);
const size_t total_size = sizeof(VP8LHistogram) + sizeof(int) * literal_size;
assert(total_size <= (size_t)0x7fffffff);
return (int)total_size;
}
void VP8LFreeHistogram(VP8LHistogram* const histo) {
WebPSafeFree(histo);
}
void VP8LFreeHistogramSet(VP8LHistogramSet* const histo) {
WebPSafeFree(histo);
}
void VP8LHistogramStoreRefs(const VP8LBackwardRefs* const refs,
VP8LHistogram* const histo) {
VP8LRefsCursor c = VP8LRefsCursorInit(refs);
while (VP8LRefsCursorOk(&c)) {
VP8LHistogramAddSinglePixOrCopy(histo, c.cur_pos, NULL, 0);
VP8LRefsCursorNext(&c);
}
}
void VP8LHistogramCreate(VP8LHistogram* const p,
const VP8LBackwardRefs* const refs,
int palette_code_bits) {
if (palette_code_bits >= 0) {
p->palette_code_bits_ = palette_code_bits;
}
HistogramClear(p);
VP8LHistogramStoreRefs(refs, p);
}
void VP8LHistogramInit(VP8LHistogram* const p, int palette_code_bits,
int init_arrays) {
p->palette_code_bits_ = palette_code_bits;
if (init_arrays) {
HistogramClear(p);
} else {
p->trivial_symbol_ = 0;
p->bit_cost_ = 0.;
p->literal_cost_ = 0.;
p->red_cost_ = 0.;
p->blue_cost_ = 0.;
memset(p->is_used_, 0, sizeof(p->is_used_));
}
}
VP8LHistogram* VP8LAllocateHistogram(int cache_bits) {
VP8LHistogram* histo = NULL;
const int total_size = VP8LGetHistogramSize(cache_bits);
uint8_t* const memory = (uint8_t*)WebPSafeMalloc(total_size, sizeof(*memory));
if (memory == NULL) return NULL;
histo = (VP8LHistogram*)memory;
// literal_ won't necessary be aligned.
histo->literal_ = (uint32_t*)(memory + sizeof(VP8LHistogram));
VP8LHistogramInit(histo, cache_bits, /*init_arrays=*/ 0);
return histo;
}
// Resets the pointers of the histograms to point to the bit buffer in the set.
static void HistogramSetResetPointers(VP8LHistogramSet* const set,
int cache_bits) {
int i;
const int histo_size = VP8LGetHistogramSize(cache_bits);
uint8_t* memory = (uint8_t*) (set->histograms);
memory += set->max_size * sizeof(*set->histograms);
for (i = 0; i < set->max_size; ++i) {
memory = (uint8_t*) WEBP_ALIGN(memory);
set->histograms[i] = (VP8LHistogram*) memory;
// literal_ won't necessary be aligned.
set->histograms[i]->literal_ = (uint32_t*)(memory + sizeof(VP8LHistogram));
memory += histo_size;
}
}
// Returns the total size of the VP8LHistogramSet.
static size_t HistogramSetTotalSize(int size, int cache_bits) {
const int histo_size = VP8LGetHistogramSize(cache_bits);
return (sizeof(VP8LHistogramSet) + size * (sizeof(VP8LHistogram*) +
histo_size + WEBP_ALIGN_CST));
}
VP8LHistogramSet* VP8LAllocateHistogramSet(int size, int cache_bits) {
int i;
VP8LHistogramSet* set;
const size_t total_size = HistogramSetTotalSize(size, cache_bits);
uint8_t* memory = (uint8_t*)WebPSafeMalloc(total_size, sizeof(*memory));
if (memory == NULL) return NULL;
set = (VP8LHistogramSet*)memory;
memory += sizeof(*set);
set->histograms = (VP8LHistogram**)memory;
set->max_size = size;
set->size = size;
HistogramSetResetPointers(set, cache_bits);
for (i = 0; i < size; ++i) {
VP8LHistogramInit(set->histograms[i], cache_bits, /*init_arrays=*/ 0);
}
return set;
}
void VP8LHistogramSetClear(VP8LHistogramSet* const set) {
int i;
const int cache_bits = set->histograms[0]->palette_code_bits_;
const int size = set->max_size;
const size_t total_size = HistogramSetTotalSize(size, cache_bits);
uint8_t* memory = (uint8_t*)set;
memset(memory, 0, total_size);
memory += sizeof(*set);
set->histograms = (VP8LHistogram**)memory;
set->max_size = size;
set->size = size;
HistogramSetResetPointers(set, cache_bits);
for (i = 0; i < size; ++i) {
set->histograms[i]->palette_code_bits_ = cache_bits;
}
}
// Removes the histogram 'i' from 'set' by setting it to NULL.
static void HistogramSetRemoveHistogram(VP8LHistogramSet* const set, int i,
int* const num_used) {
assert(set->histograms[i] != NULL);
set->histograms[i] = NULL;
--*num_used;
// If we remove the last valid one, shrink until the next valid one.
if (i == set->size - 1) {
while (set->size >= 1 && set->histograms[set->size - 1] == NULL) {
--set->size;
}
}
}
// -----------------------------------------------------------------------------
void VP8LHistogramAddSinglePixOrCopy(VP8LHistogram* const histo,
const PixOrCopy* const v,
int (*const distance_modifier)(int, int),
int distance_modifier_arg0) {
if (PixOrCopyIsLiteral(v)) {
++histo->alpha_[PixOrCopyLiteral(v, 3)];
++histo->red_[PixOrCopyLiteral(v, 2)];
++histo->literal_[PixOrCopyLiteral(v, 1)];
++histo->blue_[PixOrCopyLiteral(v, 0)];
} else if (PixOrCopyIsCacheIdx(v)) {
const int literal_ix =
NUM_LITERAL_CODES + NUM_LENGTH_CODES + PixOrCopyCacheIdx(v);
assert(histo->palette_code_bits_ != 0);
++histo->literal_[literal_ix];
} else {
int code, extra_bits;
VP8LPrefixEncodeBits(PixOrCopyLength(v), &code, &extra_bits);
++histo->literal_[NUM_LITERAL_CODES + code];
if (distance_modifier == NULL) {
VP8LPrefixEncodeBits(PixOrCopyDistance(v), &code, &extra_bits);
} else {
VP8LPrefixEncodeBits(
distance_modifier(distance_modifier_arg0, PixOrCopyDistance(v)),
&code, &extra_bits);
}
++histo->distance_[code];
}
}
// -----------------------------------------------------------------------------
// Entropy-related functions.
static WEBP_INLINE float BitsEntropyRefine(const VP8LBitEntropy* entropy) {
float mix;
if (entropy->nonzeros < 5) {
if (entropy->nonzeros <= 1) {
return 0;
}
// Two symbols, they will be 0 and 1 in a Huffman code.
// Let's mix in a bit of entropy to favor good clustering when
// distributions of these are combined.
if (entropy->nonzeros == 2) {
return 0.99f * entropy->sum + 0.01f * entropy->entropy;
}
// No matter what the entropy says, we cannot be better than min_limit
// with Huffman coding. I am mixing a bit of entropy into the
// min_limit since it produces much better (~0.5 %) compression results
// perhaps because of better entropy clustering.
if (entropy->nonzeros == 3) {
mix = 0.95f;
} else {
mix = 0.7f; // nonzeros == 4.
}
} else {
mix = 0.627f;
}
{
float min_limit = 2.f * entropy->sum - entropy->max_val;
min_limit = mix * min_limit + (1.f - mix) * entropy->entropy;
return (entropy->entropy < min_limit) ? min_limit : entropy->entropy;
}
}
float VP8LBitsEntropy(const uint32_t* const array, int n) {
VP8LBitEntropy entropy;
VP8LBitsEntropyUnrefined(array, n, &entropy);
return BitsEntropyRefine(&entropy);
}
static float InitialHuffmanCost(void) {
// Small bias because Huffman code length is typically not stored in
// full length.
static const int kHuffmanCodeOfHuffmanCodeSize = CODE_LENGTH_CODES * 3;
static const float kSmallBias = 9.1f;
return kHuffmanCodeOfHuffmanCodeSize - kSmallBias;
}
// Finalize the Huffman cost based on streak numbers and length type (<3 or >=3)
static float FinalHuffmanCost(const VP8LStreaks* const stats) {
// The constants in this function are experimental and got rounded from
// their original values in 1/8 when switched to 1/1024.
float retval = InitialHuffmanCost();
// Second coefficient: Many zeros in the histogram are covered efficiently
// by a run-length encode. Originally 2/8.
retval += stats->counts[0] * 1.5625f + 0.234375f * stats->streaks[0][1];
// Second coefficient: Constant values are encoded less efficiently, but still
// RLE'ed. Originally 6/8.
retval += stats->counts[1] * 2.578125f + 0.703125f * stats->streaks[1][1];
// 0s are usually encoded more efficiently than non-0s.
// Originally 15/8.
retval += 1.796875f * stats->streaks[0][0];
// Originally 26/8.
retval += 3.28125f * stats->streaks[1][0];
return retval;
}
// Get the symbol entropy for the distribution 'population'.
// Set 'trivial_sym', if there's only one symbol present in the distribution.
static float PopulationCost(const uint32_t* const population, int length,
uint32_t* const trivial_sym,
uint8_t* const is_used) {
VP8LBitEntropy bit_entropy;
VP8LStreaks stats;
VP8LGetEntropyUnrefined(population, length, &bit_entropy, &stats);
if (trivial_sym != NULL) {
*trivial_sym = (bit_entropy.nonzeros == 1) ? bit_entropy.nonzero_code
: VP8L_NON_TRIVIAL_SYM;
}
// The histogram is used if there is at least one non-zero streak.
*is_used = (stats.streaks[1][0] != 0 || stats.streaks[1][1] != 0);
return BitsEntropyRefine(&bit_entropy) + FinalHuffmanCost(&stats);
}
// trivial_at_end is 1 if the two histograms only have one element that is
// non-zero: both the zero-th one, or both the last one.
static WEBP_INLINE float GetCombinedEntropy(const uint32_t* const X,
const uint32_t* const Y, int length,
int is_X_used, int is_Y_used,
int trivial_at_end) {
VP8LStreaks stats;
if (trivial_at_end) {
// This configuration is due to palettization that transforms an indexed
// pixel into 0xff000000 | (pixel << 8) in VP8LBundleColorMap.
// BitsEntropyRefine is 0 for histograms with only one non-zero value.
// Only FinalHuffmanCost needs to be evaluated.
memset(&stats, 0, sizeof(stats));
// Deal with the non-zero value at index 0 or length-1.
stats.streaks[1][0] = 1;
// Deal with the following/previous zero streak.
stats.counts[0] = 1;
stats.streaks[0][1] = length - 1;
return FinalHuffmanCost(&stats);
} else {
VP8LBitEntropy bit_entropy;
if (is_X_used) {
if (is_Y_used) {
VP8LGetCombinedEntropyUnrefined(X, Y, length, &bit_entropy, &stats);
} else {
VP8LGetEntropyUnrefined(X, length, &bit_entropy, &stats);
}
} else {
if (is_Y_used) {
VP8LGetEntropyUnrefined(Y, length, &bit_entropy, &stats);
} else {
memset(&stats, 0, sizeof(stats));
stats.counts[0] = 1;
stats.streaks[0][length > 3] = length;
VP8LBitEntropyInit(&bit_entropy);
}
}
return BitsEntropyRefine(&bit_entropy) + FinalHuffmanCost(&stats);
}
}
// Estimates the Entropy + Huffman + other block overhead size cost.
float VP8LHistogramEstimateBits(VP8LHistogram* const p) {
return PopulationCost(p->literal_,
VP8LHistogramNumCodes(p->palette_code_bits_), NULL,
&p->is_used_[0]) +
PopulationCost(p->red_, NUM_LITERAL_CODES, NULL, &p->is_used_[1]) +
PopulationCost(p->blue_, NUM_LITERAL_CODES, NULL, &p->is_used_[2]) +
PopulationCost(p->alpha_, NUM_LITERAL_CODES, NULL, &p->is_used_[3]) +
PopulationCost(p->distance_, NUM_DISTANCE_CODES, NULL,
&p->is_used_[4]) +
(float)VP8LExtraCost(p->literal_ + NUM_LITERAL_CODES,
NUM_LENGTH_CODES) +
(float)VP8LExtraCost(p->distance_, NUM_DISTANCE_CODES);
}
// -----------------------------------------------------------------------------
// Various histogram combine/cost-eval functions
static int GetCombinedHistogramEntropy(const VP8LHistogram* const a,
const VP8LHistogram* const b,
float cost_threshold, float* cost) {
const int palette_code_bits = a->palette_code_bits_;
int trivial_at_end = 0;
assert(a->palette_code_bits_ == b->palette_code_bits_);
*cost += GetCombinedEntropy(a->literal_, b->literal_,
VP8LHistogramNumCodes(palette_code_bits),
a->is_used_[0], b->is_used_[0], 0);
*cost += (float)VP8LExtraCostCombined(a->literal_ + NUM_LITERAL_CODES,
b->literal_ + NUM_LITERAL_CODES,
NUM_LENGTH_CODES);
if (*cost > cost_threshold) return 0;
if (a->trivial_symbol_ != VP8L_NON_TRIVIAL_SYM &&
a->trivial_symbol_ == b->trivial_symbol_) {
// A, R and B are all 0 or 0xff.
const uint32_t color_a = (a->trivial_symbol_ >> 24) & 0xff;
const uint32_t color_r = (a->trivial_symbol_ >> 16) & 0xff;
const uint32_t color_b = (a->trivial_symbol_ >> 0) & 0xff;
if ((color_a == 0 || color_a == 0xff) &&
(color_r == 0 || color_r == 0xff) &&
(color_b == 0 || color_b == 0xff)) {
trivial_at_end = 1;
}
}
*cost +=
GetCombinedEntropy(a->red_, b->red_, NUM_LITERAL_CODES, a->is_used_[1],
b->is_used_[1], trivial_at_end);
if (*cost > cost_threshold) return 0;
*cost +=
GetCombinedEntropy(a->blue_, b->blue_, NUM_LITERAL_CODES, a->is_used_[2],
b->is_used_[2], trivial_at_end);
if (*cost > cost_threshold) return 0;
*cost +=
GetCombinedEntropy(a->alpha_, b->alpha_, NUM_LITERAL_CODES,
a->is_used_[3], b->is_used_[3], trivial_at_end);
if (*cost > cost_threshold) return 0;
*cost +=
GetCombinedEntropy(a->distance_, b->distance_, NUM_DISTANCE_CODES,
a->is_used_[4], b->is_used_[4], 0);
*cost += (float)VP8LExtraCostCombined(a->distance_, b->distance_,
NUM_DISTANCE_CODES);
if (*cost > cost_threshold) return 0;
return 1;
}
static WEBP_INLINE void HistogramAdd(const VP8LHistogram* const a,
const VP8LHistogram* const b,
VP8LHistogram* const out) {
VP8LHistogramAdd(a, b, out);
out->trivial_symbol_ = (a->trivial_symbol_ == b->trivial_symbol_)
? a->trivial_symbol_
: VP8L_NON_TRIVIAL_SYM;
}
// Performs out = a + b, computing the cost C(a+b) - C(a) - C(b) while comparing
// to the threshold value 'cost_threshold'. The score returned is
// Score = C(a+b) - C(a) - C(b), where C(a) + C(b) is known and fixed.
// Since the previous score passed is 'cost_threshold', we only need to compare
// the partial cost against 'cost_threshold + C(a) + C(b)' to possibly bail-out
// early.
static float HistogramAddEval(const VP8LHistogram* const a,
const VP8LHistogram* const b,
VP8LHistogram* const out, float cost_threshold) {
float cost = 0;
const float sum_cost = a->bit_cost_ + b->bit_cost_;
cost_threshold += sum_cost;
if (GetCombinedHistogramEntropy(a, b, cost_threshold, &cost)) {
HistogramAdd(a, b, out);
out->bit_cost_ = cost;
out->palette_code_bits_ = a->palette_code_bits_;
}
return cost - sum_cost;
}
// Same as HistogramAddEval(), except that the resulting histogram
// is not stored. Only the cost C(a+b) - C(a) is evaluated. We omit
// the term C(b) which is constant over all the evaluations.
static float HistogramAddThresh(const VP8LHistogram* const a,
const VP8LHistogram* const b,
float cost_threshold) {
float cost;
assert(a != NULL && b != NULL);
cost = -a->bit_cost_;
GetCombinedHistogramEntropy(a, b, cost_threshold, &cost);
return cost;
}
// -----------------------------------------------------------------------------
// The structure to keep track of cost range for the three dominant entropy
// symbols.
typedef struct {
float literal_max_;
float literal_min_;
float red_max_;
float red_min_;
float blue_max_;
float blue_min_;
} DominantCostRange;
static void DominantCostRangeInit(DominantCostRange* const c) {
c->literal_max_ = 0.;
c->literal_min_ = MAX_BIT_COST;
c->red_max_ = 0.;
c->red_min_ = MAX_BIT_COST;
c->blue_max_ = 0.;
c->blue_min_ = MAX_BIT_COST;
}
static void UpdateDominantCostRange(
const VP8LHistogram* const h, DominantCostRange* const c) {
if (c->literal_max_ < h->literal_cost_) c->literal_max_ = h->literal_cost_;
if (c->literal_min_ > h->literal_cost_) c->literal_min_ = h->literal_cost_;
if (c->red_max_ < h->red_cost_) c->red_max_ = h->red_cost_;
if (c->red_min_ > h->red_cost_) c->red_min_ = h->red_cost_;
if (c->blue_max_ < h->blue_cost_) c->blue_max_ = h->blue_cost_;
if (c->blue_min_ > h->blue_cost_) c->blue_min_ = h->blue_cost_;
}
static void UpdateHistogramCost(VP8LHistogram* const h) {
uint32_t alpha_sym, red_sym, blue_sym;
const float alpha_cost =
PopulationCost(h->alpha_, NUM_LITERAL_CODES, &alpha_sym, &h->is_used_[3]);
const float distance_cost =
PopulationCost(h->distance_, NUM_DISTANCE_CODES, NULL, &h->is_used_[4]) +
(float)VP8LExtraCost(h->distance_, NUM_DISTANCE_CODES);
const int num_codes = VP8LHistogramNumCodes(h->palette_code_bits_);
h->literal_cost_ =
PopulationCost(h->literal_, num_codes, NULL, &h->is_used_[0]) +
(float)VP8LExtraCost(h->literal_ + NUM_LITERAL_CODES, NUM_LENGTH_CODES);
h->red_cost_ =
PopulationCost(h->red_, NUM_LITERAL_CODES, &red_sym, &h->is_used_[1]);
h->blue_cost_ =
PopulationCost(h->blue_, NUM_LITERAL_CODES, &blue_sym, &h->is_used_[2]);
h->bit_cost_ = h->literal_cost_ + h->red_cost_ + h->blue_cost_ +
alpha_cost + distance_cost;
if ((alpha_sym | red_sym | blue_sym) == VP8L_NON_TRIVIAL_SYM) {
h->trivial_symbol_ = VP8L_NON_TRIVIAL_SYM;
} else {
h->trivial_symbol_ =
((uint32_t)alpha_sym << 24) | (red_sym << 16) | (blue_sym << 0);
}
}
static int GetBinIdForEntropy(float min, float max, float val) {
const float range = max - min;
if (range > 0.) {
const float delta = val - min;
return (int)((NUM_PARTITIONS - 1e-6) * delta / range);
} else {
return 0;
}
}
static int GetHistoBinIndex(const VP8LHistogram* const h,
const DominantCostRange* const c, int low_effort) {
int bin_id = GetBinIdForEntropy(c->literal_min_, c->literal_max_,
h->literal_cost_);
assert(bin_id < NUM_PARTITIONS);
if (!low_effort) {
bin_id = bin_id * NUM_PARTITIONS
+ GetBinIdForEntropy(c->red_min_, c->red_max_, h->red_cost_);
bin_id = bin_id * NUM_PARTITIONS
+ GetBinIdForEntropy(c->blue_min_, c->blue_max_, h->blue_cost_);
assert(bin_id < BIN_SIZE);
}
return bin_id;
}
// Construct the histograms from backward references.
static void HistogramBuild(
int xsize, int histo_bits, const VP8LBackwardRefs* const backward_refs,
VP8LHistogramSet* const image_histo) {
int x = 0, y = 0;
const int histo_xsize = VP8LSubSampleSize(xsize, histo_bits);
VP8LHistogram** const histograms = image_histo->histograms;
VP8LRefsCursor c = VP8LRefsCursorInit(backward_refs);
assert(histo_bits > 0);
VP8LHistogramSetClear(image_histo);
while (VP8LRefsCursorOk(&c)) {
const PixOrCopy* const v = c.cur_pos;
const int ix = (y >> histo_bits) * histo_xsize + (x >> histo_bits);
VP8LHistogramAddSinglePixOrCopy(histograms[ix], v, NULL, 0);
x += PixOrCopyLength(v);
while (x >= xsize) {
x -= xsize;
++y;
}
VP8LRefsCursorNext(&c);
}
}
// Copies the histograms and computes its bit_cost.
static const uint16_t kInvalidHistogramSymbol = (uint16_t)(-1);
static void HistogramCopyAndAnalyze(VP8LHistogramSet* const orig_histo,
VP8LHistogramSet* const image_histo,
int* const num_used,
uint16_t* const histogram_symbols) {
int i, cluster_id;
int num_used_orig = *num_used;
VP8LHistogram** const orig_histograms = orig_histo->histograms;
VP8LHistogram** const histograms = image_histo->histograms;
assert(image_histo->max_size == orig_histo->max_size);
for (cluster_id = 0, i = 0; i < orig_histo->max_size; ++i) {
VP8LHistogram* const histo = orig_histograms[i];
UpdateHistogramCost(histo);
// Skip the histogram if it is completely empty, which can happen for tiles
// with no information (when they are skipped because of LZ77).
if (!histo->is_used_[0] && !histo->is_used_[1] && !histo->is_used_[2]
&& !histo->is_used_[3] && !histo->is_used_[4]) {
// The first histogram is always used. If an histogram is empty, we set
// its id to be the same as the previous one: this will improve
// compressibility for later LZ77.
assert(i > 0);
HistogramSetRemoveHistogram(image_histo, i, num_used);
HistogramSetRemoveHistogram(orig_histo, i, &num_used_orig);
histogram_symbols[i] = kInvalidHistogramSymbol;
} else {
// Copy histograms from orig_histo[] to image_histo[].
HistogramCopy(histo, histograms[i]);
histogram_symbols[i] = cluster_id++;
assert(cluster_id <= image_histo->max_size);
}
}
}
// Partition histograms to different entropy bins for three dominant (literal,
// red and blue) symbol costs and compute the histogram aggregate bit_cost.
static void HistogramAnalyzeEntropyBin(VP8LHistogramSet* const image_histo,
uint16_t* const bin_map,
int low_effort) {
int i;
VP8LHistogram** const histograms = image_histo->histograms;
const int histo_size = image_histo->size;
DominantCostRange cost_range;
DominantCostRangeInit(&cost_range);
// Analyze the dominant (literal, red and blue) entropy costs.
for (i = 0; i < histo_size; ++i) {
if (histograms[i] == NULL) continue;
UpdateDominantCostRange(histograms[i], &cost_range);
}
// bin-hash histograms on three of the dominant (literal, red and blue)
// symbol costs and store the resulting bin_id for each histogram.
for (i = 0; i < histo_size; ++i) {
// bin_map[i] is not set to a special value as its use will later be guarded
// by another (histograms[i] == NULL).
if (histograms[i] == NULL) continue;
bin_map[i] = GetHistoBinIndex(histograms[i], &cost_range, low_effort);
}
}
// Merges some histograms with same bin_id together if it's advantageous.
// Sets the remaining histograms to NULL.
static void HistogramCombineEntropyBin(
VP8LHistogramSet* const image_histo, int* num_used,
const uint16_t* const clusters, uint16_t* const cluster_mappings,
VP8LHistogram* cur_combo, const uint16_t* const bin_map, int num_bins,
float combine_cost_factor, int low_effort) {
VP8LHistogram** const histograms = image_histo->histograms;
int idx;
struct {
int16_t first; // position of the histogram that accumulates all
// histograms with the same bin_id
uint16_t num_combine_failures; // number of combine failures per bin_id
} bin_info[BIN_SIZE];
assert(num_bins <= BIN_SIZE);
for (idx = 0; idx < num_bins; ++idx) {
bin_info[idx].first = -1;
bin_info[idx].num_combine_failures = 0;
}
// By default, a cluster matches itself.
for (idx = 0; idx < *num_used; ++idx) cluster_mappings[idx] = idx;
for (idx = 0; idx < image_histo->size; ++idx) {
int bin_id, first;
if (histograms[idx] == NULL) continue;
bin_id = bin_map[idx];
first = bin_info[bin_id].first;
if (first == -1) {
bin_info[bin_id].first = idx;
} else if (low_effort) {
HistogramAdd(histograms[idx], histograms[first], histograms[first]);
HistogramSetRemoveHistogram(image_histo, idx, num_used);
cluster_mappings[clusters[idx]] = clusters[first];
} else {
// try to merge #idx into #first (both share the same bin_id)
const float bit_cost = histograms[idx]->bit_cost_;
const float bit_cost_thresh = -bit_cost * combine_cost_factor;
const float curr_cost_diff = HistogramAddEval(
histograms[first], histograms[idx], cur_combo, bit_cost_thresh);
if (curr_cost_diff < bit_cost_thresh) {
// Try to merge two histograms only if the combo is a trivial one or
// the two candidate histograms are already non-trivial.
// For some images, 'try_combine' turns out to be false for a lot of
// histogram pairs. In that case, we fallback to combining
// histograms as usual to avoid increasing the header size.
const int try_combine =
(cur_combo->trivial_symbol_ != VP8L_NON_TRIVIAL_SYM) ||
((histograms[idx]->trivial_symbol_ == VP8L_NON_TRIVIAL_SYM) &&
(histograms[first]->trivial_symbol_ == VP8L_NON_TRIVIAL_SYM));
const int max_combine_failures = 32;
if (try_combine ||
bin_info[bin_id].num_combine_failures >= max_combine_failures) {
// move the (better) merged histogram to its final slot
HistogramSwap(&cur_combo, &histograms[first]);
HistogramSetRemoveHistogram(image_histo, idx, num_used);
cluster_mappings[clusters[idx]] = clusters[first];
} else {
++bin_info[bin_id].num_combine_failures;
}
}
}
}
if (low_effort) {
// for low_effort case, update the final cost when everything is merged
for (idx = 0; idx < image_histo->size; ++idx) {
if (histograms[idx] == NULL) continue;
UpdateHistogramCost(histograms[idx]);
}
}
}
// Implement a Lehmer random number generator with a multiplicative constant of
// 48271 and a modulo constant of 2^31 - 1.
static uint32_t MyRand(uint32_t* const seed) {
*seed = (uint32_t)(((uint64_t)(*seed) * 48271u) % 2147483647u);
assert(*seed > 0);
return *seed;
}
// -----------------------------------------------------------------------------
// Histogram pairs priority queue
// Pair of histograms. Negative idx1 value means that pair is out-of-date.
typedef struct {
int idx1;
int idx2;
float cost_diff;
float cost_combo;
} HistogramPair;
typedef struct {
HistogramPair* queue;
int size;
int max_size;
} HistoQueue;
static int HistoQueueInit(HistoQueue* const histo_queue, const int max_size) {
histo_queue->size = 0;
histo_queue->max_size = max_size;
// We allocate max_size + 1 because the last element at index "size" is
// used as temporary data (and it could be up to max_size).
histo_queue->queue = (HistogramPair*)WebPSafeMalloc(
histo_queue->max_size + 1, sizeof(*histo_queue->queue));
return histo_queue->queue != NULL;
}
static void HistoQueueClear(HistoQueue* const histo_queue) {
assert(histo_queue != NULL);
WebPSafeFree(histo_queue->queue);
histo_queue->size = 0;
histo_queue->max_size = 0;
}
// Pop a specific pair in the queue by replacing it with the last one
// and shrinking the queue.
static void HistoQueuePopPair(HistoQueue* const histo_queue,
HistogramPair* const pair) {
assert(pair >= histo_queue->queue &&
pair < (histo_queue->queue + histo_queue->size));
assert(histo_queue->size > 0);
*pair = histo_queue->queue[histo_queue->size - 1];
--histo_queue->size;
}
// Check whether a pair in the queue should be updated as head or not.
static void HistoQueueUpdateHead(HistoQueue* const histo_queue,
HistogramPair* const pair) {
assert(pair->cost_diff < 0.);
assert(pair >= histo_queue->queue &&
pair < (histo_queue->queue + histo_queue->size));
assert(histo_queue->size > 0);
if (pair->cost_diff < histo_queue->queue[0].cost_diff) {
// Replace the best pair.
const HistogramPair tmp = histo_queue->queue[0];
histo_queue->queue[0] = *pair;
*pair = tmp;
}
}
// Update the cost diff and combo of a pair of histograms. This needs to be
// called when the the histograms have been merged with a third one.
static void HistoQueueUpdatePair(const VP8LHistogram* const h1,
const VP8LHistogram* const h2, float threshold,
HistogramPair* const pair) {
const float sum_cost = h1->bit_cost_ + h2->bit_cost_;
pair->cost_combo = 0.;
GetCombinedHistogramEntropy(h1, h2, sum_cost + threshold, &pair->cost_combo);
pair->cost_diff = pair->cost_combo - sum_cost;
}
// Create a pair from indices "idx1" and "idx2" provided its cost
// is inferior to "threshold", a negative entropy.
// It returns the cost of the pair, or 0. if it superior to threshold.
static float HistoQueuePush(HistoQueue* const histo_queue,
VP8LHistogram** const histograms, int idx1,
int idx2, float threshold) {
const VP8LHistogram* h1;
const VP8LHistogram* h2;
HistogramPair pair;
// Stop here if the queue is full.
if (histo_queue->size == histo_queue->max_size) return 0.;
assert(threshold <= 0.);
if (idx1 > idx2) {
const int tmp = idx2;
idx2 = idx1;
idx1 = tmp;
}
pair.idx1 = idx1;
pair.idx2 = idx2;
h1 = histograms[idx1];
h2 = histograms[idx2];
HistoQueueUpdatePair(h1, h2, threshold, &pair);
// Do not even consider the pair if it does not improve the entropy.
if (pair.cost_diff >= threshold) return 0.;
histo_queue->queue[histo_queue->size++] = pair;
HistoQueueUpdateHead(histo_queue, &histo_queue->queue[histo_queue->size - 1]);
return pair.cost_diff;
}
// -----------------------------------------------------------------------------
// Combines histograms by continuously choosing the one with the highest cost
// reduction.
static int HistogramCombineGreedy(VP8LHistogramSet* const image_histo,
int* const num_used) {
int ok = 0;
const int image_histo_size = image_histo->size;
int i, j;
VP8LHistogram** const histograms = image_histo->histograms;
// Priority queue of histogram pairs.
HistoQueue histo_queue;
// image_histo_size^2 for the queue size is safe. If you look at
// HistogramCombineGreedy, and imagine that UpdateQueueFront always pushes
// data to the queue, you insert at most:
// - image_histo_size*(image_histo_size-1)/2 (the first two for loops)
// - image_histo_size - 1 in the last for loop at the first iteration of
// the while loop, image_histo_size - 2 at the second iteration ...
// therefore image_histo_size*(image_histo_size-1)/2 overall too
if (!HistoQueueInit(&histo_queue, image_histo_size * image_histo_size)) {
goto End;
}
for (i = 0; i < image_histo_size; ++i) {
if (image_histo->histograms[i] == NULL) continue;
for (j = i + 1; j < image_histo_size; ++j) {
// Initialize queue.
if (image_histo->histograms[j] == NULL) continue;
HistoQueuePush(&histo_queue, histograms, i, j, 0.);
}
}
while (histo_queue.size > 0) {
const int idx1 = histo_queue.queue[0].idx1;
const int idx2 = histo_queue.queue[0].idx2;
HistogramAdd(histograms[idx2], histograms[idx1], histograms[idx1]);
histograms[idx1]->bit_cost_ = histo_queue.queue[0].cost_combo;
// Remove merged histogram.
HistogramSetRemoveHistogram(image_histo, idx2, num_used);
// Remove pairs intersecting the just combined best pair.
for (i = 0; i < histo_queue.size;) {
HistogramPair* const p = histo_queue.queue + i;
if (p->idx1 == idx1 || p->idx2 == idx1 ||
p->idx1 == idx2 || p->idx2 == idx2) {
HistoQueuePopPair(&histo_queue, p);
} else {
HistoQueueUpdateHead(&histo_queue, p);
++i;
}
}
// Push new pairs formed with combined histogram to the queue.
for (i = 0; i < image_histo->size; ++i) {
if (i == idx1 || image_histo->histograms[i] == NULL) continue;
HistoQueuePush(&histo_queue, image_histo->histograms, idx1, i, 0.);
}
}
ok = 1;
End:
HistoQueueClear(&histo_queue);
return ok;
}
// Perform histogram aggregation using a stochastic approach.
// 'do_greedy' is set to 1 if a greedy approach needs to be performed
// afterwards, 0 otherwise.
static int PairComparison(const void* idx1, const void* idx2) {
// To be used with bsearch: <0 when *idx1<*idx2, >0 if >, 0 when ==.
return (*(int*) idx1 - *(int*) idx2);
}
static int HistogramCombineStochastic(VP8LHistogramSet* const image_histo,
int* const num_used, int min_cluster_size,
int* const do_greedy) {
int j, iter;
uint32_t seed = 1;
int tries_with_no_success = 0;
const int outer_iters = *num_used;
const int num_tries_no_success = outer_iters / 2;
VP8LHistogram** const histograms = image_histo->histograms;
// Priority queue of histogram pairs. Its size of 'kHistoQueueSize'
// impacts the quality of the compression and the speed: the smaller the
// faster but the worse for the compression.
HistoQueue histo_queue;
const int kHistoQueueSize = 9;
int ok = 0;
// mapping from an index in image_histo with no NULL histogram to the full
// blown image_histo.
int* mappings;
if (*num_used < min_cluster_size) {
*do_greedy = 1;
return 1;
}
mappings = (int*) WebPSafeMalloc(*num_used, sizeof(*mappings));
if (mappings == NULL) return 0;
if (!HistoQueueInit(&histo_queue, kHistoQueueSize)) goto End;
// Fill the initial mapping.
for (j = 0, iter = 0; iter < image_histo->size; ++iter) {
if (histograms[iter] == NULL) continue;
mappings[j++] = iter;
}
assert(j == *num_used);
// Collapse similar histograms in 'image_histo'.
for (iter = 0;
iter < outer_iters && *num_used >= min_cluster_size &&
++tries_with_no_success < num_tries_no_success;
++iter) {
int* mapping_index;
float best_cost =
(histo_queue.size == 0) ? 0.f : histo_queue.queue[0].cost_diff;
int best_idx1 = -1, best_idx2 = 1;
const uint32_t rand_range = (*num_used - 1) * (*num_used);
// (*num_used) / 2 was chosen empirically. Less means faster but worse
// compression.
const int num_tries = (*num_used) / 2;
// Pick random samples.
for (j = 0; *num_used >= 2 && j < num_tries; ++j) {
float curr_cost;
// Choose two different histograms at random and try to combine them.
const uint32_t tmp = MyRand(&seed) % rand_range;
uint32_t idx1 = tmp / (*num_used - 1);
uint32_t idx2 = tmp % (*num_used - 1);
if (idx2 >= idx1) ++idx2;
idx1 = mappings[idx1];
idx2 = mappings[idx2];
// Calculate cost reduction on combination.
curr_cost =
HistoQueuePush(&histo_queue, histograms, idx1, idx2, best_cost);
if (curr_cost < 0) { // found a better pair?
best_cost = curr_cost;
// Empty the queue if we reached full capacity.
if (histo_queue.size == histo_queue.max_size) break;
}
}
if (histo_queue.size == 0) continue;
// Get the best histograms.
best_idx1 = histo_queue.queue[0].idx1;
best_idx2 = histo_queue.queue[0].idx2;
assert(best_idx1 < best_idx2);
// Pop best_idx2 from mappings.
mapping_index = (int*) bsearch(&best_idx2, mappings, *num_used,
sizeof(best_idx2), &PairComparison);
assert(mapping_index != NULL);
memmove(mapping_index, mapping_index + 1, sizeof(*mapping_index) *
((*num_used) - (mapping_index - mappings) - 1));
// Merge the histograms and remove best_idx2 from the queue.
HistogramAdd(histograms[best_idx2], histograms[best_idx1],
histograms[best_idx1]);
histograms[best_idx1]->bit_cost_ = histo_queue.queue[0].cost_combo;
HistogramSetRemoveHistogram(image_histo, best_idx2, num_used);
// Parse the queue and update each pair that deals with best_idx1,
// best_idx2 or image_histo_size.
for (j = 0; j < histo_queue.size;) {
HistogramPair* const p = histo_queue.queue + j;
const int is_idx1_best = p->idx1 == best_idx1 || p->idx1 == best_idx2;
const int is_idx2_best = p->idx2 == best_idx1 || p->idx2 == best_idx2;
int do_eval = 0;
// The front pair could have been duplicated by a random pick so
// check for it all the time nevertheless.
if (is_idx1_best && is_idx2_best) {
HistoQueuePopPair(&histo_queue, p);
continue;
}
// Any pair containing one of the two best indices should only refer to
// best_idx1. Its cost should also be updated.
if (is_idx1_best) {
p->idx1 = best_idx1;
do_eval = 1;
} else if (is_idx2_best) {
p->idx2 = best_idx1;
do_eval = 1;
}
// Make sure the index order is respected.
if (p->idx1 > p->idx2) {
const int tmp = p->idx2;
p->idx2 = p->idx1;
p->idx1 = tmp;
}
if (do_eval) {
// Re-evaluate the cost of an updated pair.
HistoQueueUpdatePair(histograms[p->idx1], histograms[p->idx2], 0., p);
if (p->cost_diff >= 0.) {
HistoQueuePopPair(&histo_queue, p);
continue;
}
}
HistoQueueUpdateHead(&histo_queue, p);
++j;
}
tries_with_no_success = 0;
}
*do_greedy = (*num_used <= min_cluster_size);
ok = 1;
End:
HistoQueueClear(&histo_queue);
WebPSafeFree(mappings);
return ok;
}
// -----------------------------------------------------------------------------
// Histogram refinement
// Find the best 'out' histogram for each of the 'in' histograms.
// At call-time, 'out' contains the histograms of the clusters.
// Note: we assume that out[]->bit_cost_ is already up-to-date.
static void HistogramRemap(const VP8LHistogramSet* const in,
VP8LHistogramSet* const out,
uint16_t* const symbols) {
int i;
VP8LHistogram** const in_histo = in->histograms;
VP8LHistogram** const out_histo = out->histograms;
const int in_size = out->max_size;
const int out_size = out->size;
if (out_size > 1) {
for (i = 0; i < in_size; ++i) {
int best_out = 0;
float best_bits = MAX_BIT_COST;
int k;
if (in_histo[i] == NULL) {
// Arbitrarily set to the previous value if unused to help future LZ77.
symbols[i] = symbols[i - 1];
continue;
}
for (k = 0; k < out_size; ++k) {
float cur_bits;
cur_bits = HistogramAddThresh(out_histo[k], in_histo[i], best_bits);
if (k == 0 || cur_bits < best_bits) {
best_bits = cur_bits;
best_out = k;
}
}
symbols[i] = best_out;
}
} else {
assert(out_size == 1);
for (i = 0; i < in_size; ++i) {
symbols[i] = 0;
}
}
// Recompute each out based on raw and symbols.
VP8LHistogramSetClear(out);
out->size = out_size;
for (i = 0; i < in_size; ++i) {
int idx;
if (in_histo[i] == NULL) continue;
idx = symbols[i];
HistogramAdd(in_histo[i], out_histo[idx], out_histo[idx]);
}
}
static float GetCombineCostFactor(int histo_size, int quality) {
float combine_cost_factor = 0.16f;
if (quality < 90) {
if (histo_size > 256) combine_cost_factor /= 2.f;
if (histo_size > 512) combine_cost_factor /= 2.f;
if (histo_size > 1024) combine_cost_factor /= 2.f;
if (quality <= 50) combine_cost_factor /= 2.f;
}
return combine_cost_factor;
}
// Given a HistogramSet 'set', the mapping of clusters 'cluster_mapping' and the
// current assignment of the cells in 'symbols', merge the clusters and
// assign the smallest possible clusters values.
static void OptimizeHistogramSymbols(const VP8LHistogramSet* const set,
uint16_t* const cluster_mappings,
int num_clusters,
uint16_t* const cluster_mappings_tmp,
uint16_t* const symbols) {
int i, cluster_max;
int do_continue = 1;
// First, assign the lowest cluster to each pixel.
while (do_continue) {
do_continue = 0;
for (i = 0; i < num_clusters; ++i) {
int k;
k = cluster_mappings[i];
while (k != cluster_mappings[k]) {
cluster_mappings[k] = cluster_mappings[cluster_mappings[k]];
k = cluster_mappings[k];
}
if (k != cluster_mappings[i]) {
do_continue = 1;
cluster_mappings[i] = k;
}
}
}
// Create a mapping from a cluster id to its minimal version.
cluster_max = 0;
memset(cluster_mappings_tmp, 0,
set->max_size * sizeof(*cluster_mappings_tmp));
assert(cluster_mappings[0] == 0);
// Re-map the ids.
for (i = 0; i < set->max_size; ++i) {
int cluster;
if (symbols[i] == kInvalidHistogramSymbol) continue;
cluster = cluster_mappings[symbols[i]];
assert(symbols[i] < num_clusters);
if (cluster > 0 && cluster_mappings_tmp[cluster] == 0) {
++cluster_max;
cluster_mappings_tmp[cluster] = cluster_max;
}
symbols[i] = cluster_mappings_tmp[cluster];
}
// Make sure all cluster values are used.
cluster_max = 0;
for (i = 0; i < set->max_size; ++i) {
if (symbols[i] == kInvalidHistogramSymbol) continue;
if (symbols[i] <= cluster_max) continue;
++cluster_max;
assert(symbols[i] == cluster_max);
}
}
static void RemoveEmptyHistograms(VP8LHistogramSet* const image_histo) {
uint32_t size;
int i;
for (i = 0, size = 0; i < image_histo->size; ++i) {
if (image_histo->histograms[i] == NULL) continue;
image_histo->histograms[size++] = image_histo->histograms[i];
}
image_histo->size = size;
}
int VP8LGetHistoImageSymbols(int xsize, int ysize,
const VP8LBackwardRefs* const refs, int quality,
int low_effort, int histogram_bits, int cache_bits,
VP8LHistogramSet* const image_histo,
VP8LHistogram* const tmp_histo,
uint16_t* const histogram_symbols,
const WebPPicture* const pic, int percent_range,
int* const percent) {
const int histo_xsize =
histogram_bits ? VP8LSubSampleSize(xsize, histogram_bits) : 1;
const int histo_ysize =
histogram_bits ? VP8LSubSampleSize(ysize, histogram_bits) : 1;
const int image_histo_raw_size = histo_xsize * histo_ysize;
VP8LHistogramSet* const orig_histo =
VP8LAllocateHistogramSet(image_histo_raw_size, cache_bits);
// Don't attempt linear bin-partition heuristic for
// histograms of small sizes (as bin_map will be very sparse) and
// maximum quality q==100 (to preserve the compression gains at that level).
const int entropy_combine_num_bins = low_effort ? NUM_PARTITIONS : BIN_SIZE;
int entropy_combine;
uint16_t* const map_tmp =
WebPSafeMalloc(2 * image_histo_raw_size, sizeof(*map_tmp));
uint16_t* const cluster_mappings = map_tmp + image_histo_raw_size;
int num_used = image_histo_raw_size;
if (orig_histo == NULL || map_tmp == NULL) {
WebPEncodingSetError(pic, VP8_ENC_ERROR_OUT_OF_MEMORY);
goto Error;
}
// Construct the histograms from backward references.
HistogramBuild(xsize, histogram_bits, refs, orig_histo);
// Copies the histograms and computes its bit_cost.
// histogram_symbols is optimized
HistogramCopyAndAnalyze(orig_histo, image_histo, &num_used,
histogram_symbols);
entropy_combine =
(num_used > entropy_combine_num_bins * 2) && (quality < 100);
if (entropy_combine) {
uint16_t* const bin_map = map_tmp;
const float combine_cost_factor =
GetCombineCostFactor(image_histo_raw_size, quality);
const uint32_t num_clusters = num_used;
HistogramAnalyzeEntropyBin(image_histo, bin_map, low_effort);
// Collapse histograms with similar entropy.
HistogramCombineEntropyBin(
image_histo, &num_used, histogram_symbols, cluster_mappings, tmp_histo,
bin_map, entropy_combine_num_bins, combine_cost_factor, low_effort);
OptimizeHistogramSymbols(image_histo, cluster_mappings, num_clusters,
map_tmp, histogram_symbols);
}
// Don't combine the histograms using stochastic and greedy heuristics for
// low-effort compression mode.
if (!low_effort || !entropy_combine) {
const float x = quality / 100.f;
// cubic ramp between 1 and MAX_HISTO_GREEDY:
const int threshold_size = (int)(1 + (x * x * x) * (MAX_HISTO_GREEDY - 1));
int do_greedy;
if (!HistogramCombineStochastic(image_histo, &num_used, threshold_size,
&do_greedy)) {
WebPEncodingSetError(pic, VP8_ENC_ERROR_OUT_OF_MEMORY);
goto Error;
}
if (do_greedy) {
RemoveEmptyHistograms(image_histo);
if (!HistogramCombineGreedy(image_histo, &num_used)) {
WebPEncodingSetError(pic, VP8_ENC_ERROR_OUT_OF_MEMORY);
goto Error;
}
}
}
// Find the optimal map from original histograms to the final ones.
RemoveEmptyHistograms(image_histo);
HistogramRemap(orig_histo, image_histo, histogram_symbols);
if (!WebPReportProgress(pic, *percent + percent_range, percent)) {
goto Error;
}
Error:
VP8LFreeHistogramSet(orig_histo);
WebPSafeFree(map_tmp);
return (pic->error_code == VP8_ENC_OK);
}