TAD: more wip

This commit is contained in:
minjaesong
2025-10-26 02:30:51 +09:00
parent 52f25f7d04
commit 9fcb7fc95c
4 changed files with 563 additions and 37 deletions

View File

@@ -11,13 +11,20 @@
#include <zstd.h>
#include "encoder_tad.h"
// Undefine the macro version from header and define as array
#undef TAD32_COEFF_SCALARS
// Coefficient scalars for each subband (CDF 9/7 with 9 decomposition levels)
// Index 0 = LL band, Index 1-9 = H bands (L9 to L1)
static const float TAD32_COEFF_SCALARS[] = {64.0f, 45.255f, 32.0f, 22.627f, 16.0f, 11.314f, 8.0f, 5.657f, 4.0f, 2.828f};
// Forward declarations for internal functions
static void dwt_dd4_forward_1d(float *data, int length);
static void dwt_dd4_forward_multilevel(float *data, int length, int levels);
static void ms_decorrelate_16(const float *left, const float *right, float *mid, float *side, size_t count);
static void get_quantization_weights(int quality, int dwt_levels, float *weights);
static int get_deadzone_threshold(int quality);
static void quantize_dwt_coefficients(const float *coeffs, int16_t *quantized, size_t count, int quality, int apply_deadzone, int chunk_size, int dwt_levels);
static void quantize_dwt_coefficients(const float *coeffs, int16_t *quantized, size_t count, int quality, int apply_deadzone, int chunk_size, int dwt_levels, int *current_subband_index);
static size_t encode_sigmap_2bit(const int16_t *values, size_t count, uint8_t *output);
static inline float FCLAMP(float x, float min, float max) {
@@ -26,7 +33,7 @@ static inline float FCLAMP(float x, float min, float max) {
// Calculate DWT levels from chunk size
static int calculate_dwt_levels(int chunk_size) {
if (chunk_size < TAD32_MIN_CHUNK_SIZE) {
/*if (chunk_size < TAD32_MIN_CHUNK_SIZE) {
fprintf(stderr, "Error: Chunk size %d is below minimum %d\n", chunk_size, TAD32_MIN_CHUNK_SIZE);
return -1;
}
@@ -44,7 +51,9 @@ static int calculate_dwt_levels(int chunk_size) {
levels++;
}
return levels - 2; // Maximum decomposition
return levels - 2;*/ // Maximum decomposition
return 9;
}
//=============================================================================
@@ -99,11 +108,80 @@ static void dwt_dd4_forward_1d(float *data, int length) {
free(temp);
}
// 1D DWT using lifting scheme for 9/7 irreversible filter
static void dwt_97_forward_1d(float *data, int length) {
if (length < 2) return;
float *temp = malloc(length * sizeof(float));
int half = (length + 1) / 2; // Handle odd lengths properly
// Split into even/odd samples
for (int i = 0; i < half; i++) {
temp[i] = data[2 * i]; // Even (low)
}
for (int i = 0; i < length / 2; i++) {
temp[half + i] = data[2 * i + 1]; // Odd (high)
}
// JPEG2000 9/7 forward lifting steps (corrected to match decoder)
const float alpha = -1.586134342f;
const float beta = -0.052980118f;
const float gamma = 0.882911076f;
const float delta = 0.443506852f;
const float K = 1.230174105f;
// Step 1: Predict α - d[i] += α * (s[i] + s[i+1])
for (int i = 0; i < length / 2; i++) {
if (half + i < length) {
float s_curr = temp[i];
float s_next = (i + 1 < half) ? temp[i + 1] : s_curr;
temp[half + i] += alpha * (s_curr + s_next);
}
}
// Step 2: Update β - s[i] += β * (d[i-1] + d[i])
for (int i = 0; i < half; i++) {
float d_curr = (half + i < length) ? temp[half + i] : 0.0f;
float d_prev = (i > 0 && half + i - 1 < length) ? temp[half + i - 1] : d_curr;
temp[i] += beta * (d_prev + d_curr);
}
// Step 3: Predict γ - d[i] += γ * (s[i] + s[i+1])
for (int i = 0; i < length / 2; i++) {
if (half + i < length) {
float s_curr = temp[i];
float s_next = (i + 1 < half) ? temp[i + 1] : s_curr;
temp[half + i] += gamma * (s_curr + s_next);
}
}
// Step 4: Update δ - s[i] += δ * (d[i-1] + d[i])
for (int i = 0; i < half; i++) {
float d_curr = (half + i < length) ? temp[half + i] : 0.0f;
float d_prev = (i > 0 && half + i - 1 < length) ? temp[half + i - 1] : d_curr;
temp[i] += delta * (d_prev + d_curr);
}
// Step 5: Scaling - s[i] *= K, d[i] /= K
for (int i = 0; i < half; i++) {
temp[i] *= K; // Low-pass coefficients
}
for (int i = 0; i < length / 2; i++) {
if (half + i < length) {
temp[half + i] /= K; // High-pass coefficients
}
}
memcpy(data, temp, length * sizeof(float));
free(temp);
}
// Apply multi-level DWT (using DD-4 wavelet)
static void dwt_dd4_forward_multilevel(float *data, int length, int levels) {
int current_length = length;
for (int level = 0; level < levels; level++) {
dwt_dd4_forward_1d(data, current_length);
// dwt_dd4_forward_1d(data, current_length);
dwt_97_forward_1d(data, current_length);
current_length = (current_length + 1) / 2;
}
}
@@ -112,7 +190,7 @@ static void dwt_dd4_forward_multilevel(float *data, int length, int levels) {
// M/S Stereo Decorrelation (PCM32f version)
//=============================================================================
static void ms_decorrelate_16(const float *left, const float *right, float *mid, float *side, size_t count) {
static void ms_decorrelate(const float *left, const float *right, float *mid, float *side, size_t count) {
for (size_t i = 0; i < count; i++) {
// Mid = (L + R) / 2, Side = (L - R) / 2
float l = left[i];
@@ -122,6 +200,22 @@ static void ms_decorrelate_16(const float *left, const float *right, float *mid,
}
}
static float signum(float x) {
if (x > 0.0f) return 1.0f;
if (x < 0.0f) return -1.0f;
return 0.0f;
}
static void compress_gamma(float *left, float *right, size_t count) {
for (size_t i = 0; i < count; i++) {
// encode(x) = sign(x) * |x|^γ where γ=0.5
float x = left[i];
left[i] = signum(x) * sqrtf(fabsf(x));
float y = right[i];
right[i] = signum(y) * sqrtf(fabsf(y));
}
}
//=============================================================================
// Quantization with Frequency-Dependent Weighting
//=============================================================================
@@ -146,19 +240,21 @@ static void get_quantization_weights(int quality, int dwt_levels, float *weights
/*15*/{0.2f, 0.2f, 0.8f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.25f, 1.5f, 1.5f}
};
float quality_scale = 4.0f * (1.0f + FCLAMP((5 - quality) * 0.5f, 0.0f, 1000.0f));
float quality_scale = 1.0f * (1.0f + FCLAMP((5 - quality) * 0.5f, 0.0f, 1000.0f));
for (int i = 0; i < dwt_levels; i++) {
weights[i] = base_weights[dwt_levels][i] * quality_scale;
weights[i] = 1.0f;//base_weights[dwt_levels][i] * quality_scale;
}
}
#define QUANT_STEPS 512.0f // 64 -> [-64..64] -> 7 bits for LL
static int get_deadzone_threshold(int quality) {
const int thresholds[] = {0,0,0,0,0,0}; // Q0 to Q5
return thresholds[quality];
}
static void quantize_dwt_coefficients(const float *coeffs, int16_t *quantized, size_t count, int quality, int apply_deadzone, int chunk_size, int dwt_levels) {
static void quantize_dwt_coefficients(const float *coeffs, int16_t *quantized, size_t count, int quality, int apply_deadzone, int chunk_size, int dwt_levels, int *current_subband_index) {
float weights[16];
get_quantization_weights(quality, dwt_levels, weights);
int deadzone = apply_deadzone ? get_deadzone_threshold(quality) : 0;
@@ -181,11 +277,17 @@ static void quantize_dwt_coefficients(const float *coeffs, int16_t *quantized, s
}
}
// Store subband index (LL=0, H1=1, H2=2, ..., H9=9 for dwt_levels=9)
if (current_subband_index != NULL) {
current_subband_index[i] = sideband;
}
int weight_idx = (sideband == 0) ? 0 : sideband - 1;
if (weight_idx >= dwt_levels) weight_idx = dwt_levels - 1;
float weight = weights[weight_idx];
float val = coeffs[i] / weight * TAD32_COEFF_SCALAR;
float val = (coeffs[i] / TAD32_COEFF_SCALARS[sideband]) * (QUANT_STEPS * weight);
// (coeffs[i] / TAD32_COEFF_SCALARS[sideband]) normalises coeffs to -1..1
int16_t quant_val = (int16_t)roundf(val);
if (apply_deadzone && sideband >= dwt_levels - 1) {
@@ -200,10 +302,280 @@ static void quantize_dwt_coefficients(const float *coeffs, int16_t *quantized, s
free(sideband_starts);
}
// idea 1: power-of-two companding
// for quant step 8:
// Q -> Float
// 0 -> 0
// 1 -> 1/128
// 2 -> 1/64
// 3 -> 1/32
// 4 -> 1/16
// 5 -> 1/8
// 6 -> 1/4
// 7 -> 1/2
// 8 -> 1/1
// for -1 to -8, just invert the sign
//=============================================================================
// Significance Map Encoding
//=============================================================================
//=============================================================================
// Coefficient Statistics
//=============================================================================
static int compare_float(const void *a, const void *b) {
float fa = *(const float*)a;
float fb = *(const float*)b;
if (fa < fb) return -1;
if (fa > fb) return 1;
return 0;
}
typedef struct {
float min;
float q1;
float median;
float q3;
float max;
} CoeffStats;
typedef struct {
float *data;
size_t count;
size_t capacity;
} CoeffAccumulator;
// Global accumulators for statistics
static CoeffAccumulator *mid_accumulators = NULL;
static CoeffAccumulator *side_accumulators = NULL;
static int num_subbands = 0;
static int stats_initialized = 0;
static int stats_dwt_levels = 0;
static void init_statistics(int dwt_levels) {
if (stats_initialized) return;
num_subbands = dwt_levels + 1;
stats_dwt_levels = dwt_levels;
mid_accumulators = calloc(num_subbands, sizeof(CoeffAccumulator));
side_accumulators = calloc(num_subbands, sizeof(CoeffAccumulator));
for (int i = 0; i < num_subbands; i++) {
mid_accumulators[i].capacity = 1024;
mid_accumulators[i].data = malloc(mid_accumulators[i].capacity * sizeof(float));
mid_accumulators[i].count = 0;
side_accumulators[i].capacity = 1024;
side_accumulators[i].data = malloc(side_accumulators[i].capacity * sizeof(float));
side_accumulators[i].count = 0;
}
stats_initialized = 1;
}
static void accumulate_coefficients(const float *coeffs, int dwt_levels, int chunk_size, CoeffAccumulator *accumulators) {
int first_band_size = chunk_size >> dwt_levels;
int *sideband_starts = malloc((dwt_levels + 2) * sizeof(int));
sideband_starts[0] = 0;
sideband_starts[1] = first_band_size;
for (int i = 2; i <= dwt_levels + 1; i++) {
sideband_starts[i] = sideband_starts[i-1] + (first_band_size << (i-2));
}
for (int s = 0; s <= dwt_levels; s++) {
size_t start = sideband_starts[s];
size_t end = sideband_starts[s + 1];
size_t band_size = end - start;
// Expand capacity if needed
while (accumulators[s].count + band_size > accumulators[s].capacity) {
accumulators[s].capacity *= 2;
accumulators[s].data = realloc(accumulators[s].data,
accumulators[s].capacity * sizeof(float));
}
// Copy coefficients
memcpy(accumulators[s].data + accumulators[s].count,
coeffs + start, band_size * sizeof(float));
accumulators[s].count += band_size;
}
free(sideband_starts);
}
static void calculate_coeff_stats(const float *coeffs, size_t count, CoeffStats *stats) {
if (count == 0) {
stats->min = stats->q1 = stats->median = stats->q3 = stats->max = 0.0f;
return;
}
// Copy coefficients for sorting
float *sorted = malloc(count * sizeof(float));
memcpy(sorted, coeffs, count * sizeof(float));
qsort(sorted, count, sizeof(float), compare_float);
stats->min = sorted[0];
stats->max = sorted[count - 1];
stats->median = sorted[count / 2];
stats->q1 = sorted[count / 4];
stats->q3 = sorted[(3 * count) / 4];
free(sorted);
}
#define HISTOGRAM_BINS 40
#define HISTOGRAM_WIDTH 60
static void print_histogram(const float *coeffs, size_t count, const char *title) {
if (count == 0) return;
// Find min/max
float min_val = coeffs[0];
float max_val = coeffs[0];
for (size_t i = 1; i < count; i++) {
if (coeffs[i] < min_val) min_val = coeffs[i];
if (coeffs[i] > max_val) max_val = coeffs[i];
}
// Handle case where all values are the same
if (fabsf(max_val - min_val) < 1e-9f) {
fprintf(stderr, " %s: All values are %.3f\n", title, min_val);
return;
}
// Create histogram bins
size_t bins[HISTOGRAM_BINS] = {0};
float bin_width = (max_val - min_val) / HISTOGRAM_BINS;
for (size_t i = 0; i < count; i++) {
int bin = (int)((coeffs[i] - min_val) / bin_width);
if (bin >= HISTOGRAM_BINS) bin = HISTOGRAM_BINS - 1;
if (bin < 0) bin = 0;
bins[bin]++;
}
// Find max bin count for scaling
size_t max_bin = 0;
for (int i = 0; i < HISTOGRAM_BINS; i++) {
if (bins[i] > max_bin) max_bin = bins[i];
}
// Print histogram
fprintf(stderr, " %s Histogram (range: %.3f to %.3f):\n", title, min_val, max_val);
// Print top 20 bins to keep output manageable
for (int i = 0; i < HISTOGRAM_BINS; i++) {
float bin_start = min_val + i * bin_width;
float bin_end = bin_start + bin_width;
int bar_width = (int)((bins[i] * HISTOGRAM_WIDTH) / max_bin);
// Only print bins with significant content (> 1% of max)
if (bins[i] > max_bin / 100) {
fprintf(stderr, " %8.3f-%8.3f [%7zu]: ", bin_start, bin_end, bins[i]);
for (int j = 0; j < bar_width; j++) {
fprintf(stderr, "");
}
fprintf(stderr, "\n");
}
}
fprintf(stderr, "\n");
}
void tad32_print_statistics(void) {
if (!stats_initialized) return;
fprintf(stderr, "\n=== TAD Coefficient Statistics (before quantization) ===\n");
// Print Mid channel statistics
fprintf(stderr, "\nMid Channel:\n");
fprintf(stderr, "%-12s %10s %10s %10s %10s %10s %10s\n",
"Subband", "Samples", "Min", "Q1", "Median", "Q3", "Max");
fprintf(stderr, "--------------------------------------------------------------------------------\n");
for (int s = 0; s < num_subbands; s++) {
CoeffStats stats;
calculate_coeff_stats(mid_accumulators[s].data, mid_accumulators[s].count, &stats);
char band_name[16];
if (s == 0) {
snprintf(band_name, sizeof(band_name), "LL (L%d)", stats_dwt_levels);
} else {
snprintf(band_name, sizeof(band_name), "H (L%d)", stats_dwt_levels - s + 1);
}
fprintf(stderr, "%-12s %10zu %10.3f %10.3f %10.3f %10.3f %10.3f\n",
band_name, mid_accumulators[s].count,
stats.min, stats.q1, stats.median, stats.q3, stats.max);
}
// Print Mid channel histograms
fprintf(stderr, "\nMid Channel Histograms:\n");
for (int s = 0; s < num_subbands; s++) {
char band_name[32];
if (s == 0) {
snprintf(band_name, sizeof(band_name), "LL (L%d)", stats_dwt_levels);
} else {
snprintf(band_name, sizeof(band_name), "H (L%d)", stats_dwt_levels - s + 1);
}
print_histogram(mid_accumulators[s].data, mid_accumulators[s].count, band_name);
}
// Print Side channel statistics
fprintf(stderr, "\nSide Channel:\n");
fprintf(stderr, "%-12s %10s %10s %10s %10s %10s %10s\n",
"Subband", "Samples", "Min", "Q1", "Median", "Q3", "Max");
fprintf(stderr, "--------------------------------------------------------------------------------\n");
for (int s = 0; s < num_subbands; s++) {
CoeffStats stats;
calculate_coeff_stats(side_accumulators[s].data, side_accumulators[s].count, &stats);
char band_name[16];
if (s == 0) {
snprintf(band_name, sizeof(band_name), "LL (L%d)", stats_dwt_levels);
} else {
snprintf(band_name, sizeof(band_name), "H (L%d)", stats_dwt_levels - s + 1);
}
fprintf(stderr, "%-12s %10zu %10.3f %10.3f %10.3f %10.3f %10.3f\n",
band_name, side_accumulators[s].count,
stats.min, stats.q1, stats.median, stats.q3, stats.max);
}
// Print Side channel histograms
fprintf(stderr, "\nSide Channel Histograms:\n");
for (int s = 0; s < num_subbands; s++) {
char band_name[32];
if (s == 0) {
snprintf(band_name, sizeof(band_name), "LL (L%d)", stats_dwt_levels);
} else {
snprintf(band_name, sizeof(band_name), "H (L%d)", stats_dwt_levels - s + 1);
}
print_histogram(side_accumulators[s].data, side_accumulators[s].count, band_name);
}
fprintf(stderr, "\n");
}
void tad32_free_statistics(void) {
if (!stats_initialized) return;
for (int i = 0; i < num_subbands; i++) {
free(mid_accumulators[i].data);
free(side_accumulators[i].data);
}
free(mid_accumulators);
free(side_accumulators);
mid_accumulators = NULL;
side_accumulators = NULL;
stats_initialized = 0;
}
static size_t encode_sigmap_2bit(const int16_t *values, size_t count, uint8_t *output) {
size_t map_bytes = (count * 2 + 7) / 8;
uint8_t *map = output;
@@ -269,8 +641,11 @@ size_t tad32_encode_chunk(const float *pcm32_stereo, size_t num_samples, int qua
pcm32_right[i] = pcm32_stereo[i * 2 + 1];
}
// Step 1.1: Compress dynamic range
// compress_gamma(pcm32_left, pcm32_right, num_samples);
// Step 2: M/S decorrelation
ms_decorrelate_16(pcm32_left, pcm32_right, pcm32_mid, pcm32_side, num_samples);
ms_decorrelate(pcm32_left, pcm32_right, pcm32_mid, pcm32_side, num_samples);
// Step 3: Convert to float and apply DWT
for (size_t i = 0; i < num_samples; i++) {
@@ -281,9 +656,22 @@ size_t tad32_encode_chunk(const float *pcm32_stereo, size_t num_samples, int qua
dwt_dd4_forward_multilevel(dwt_mid, num_samples, dwt_levels);
dwt_dd4_forward_multilevel(dwt_side, num_samples, dwt_levels);
// Step 3.5: Accumulate coefficient statistics if enabled
static int stats_enabled = -1;
if (stats_enabled == -1) {
stats_enabled = 1;//getenv("TAD_COEFF_STATS") != NULL;
if (stats_enabled) {
init_statistics(dwt_levels);
}
}
if (stats_enabled) {
accumulate_coefficients(dwt_mid, dwt_levels, num_samples, mid_accumulators);
accumulate_coefficients(dwt_side, dwt_levels, num_samples, side_accumulators);
}
// Step 4: Quantize with frequency-dependent weights and dead zone
quantize_dwt_coefficients(dwt_mid, quant_mid, num_samples, quality, 1, num_samples, dwt_levels);
quantize_dwt_coefficients(dwt_side, quant_side, num_samples, quality, 1, num_samples, dwt_levels);
quantize_dwt_coefficients(dwt_mid, quant_mid, num_samples, quality, 1, num_samples, dwt_levels, NULL);
quantize_dwt_coefficients(dwt_side, quant_side, num_samples, quality, 1, num_samples, dwt_levels, NULL);
// Step 5: Encode with 2-bit significance map (32-bit version)
uint8_t *temp_buffer = malloc(num_samples * 4 * sizeof(int32_t));