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FFmpeg/libavfilter/vf_ssim360.c
Andreas Rheinhardt 790f793844 avutil/common: Don't auto-include mem.h 
There are lots of files that don't need it: The number of object
files that actually need it went down from 2011 to 884 here.

Keep it for external users in order to not cause breakages.

Also improve the other headers a bit while just at it.

Signed-off-by: Andreas Rheinhardt <andreas.rheinhardt@outlook.com>
2024-03-31 00:08:43 +01:00

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/**
* Copyright (c) 2015-2021, Facebook, Inc.
* All rights reserved.
*
* This file is part of FFmpeg.
*
* FFmpeg is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version.
*
* FFmpeg is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* License along with FFmpeg; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
/* Computes the Structural Similarity Metric between two 360 video streams.
* original SSIM algorithm:
* Z. Wang, A. C. Bovik, H. R. Sheikh and E. P. Simoncelli,
* "Image quality assessment: From error visibility to structural similarity,"
* IEEE Transactions on Image Processing, vol. 13, no. 4, pp. 600-612, Apr. 2004.
*
* To improve speed, this implementation uses the standard approximation of
* overlapped 8x8 block sums, rather than the original gaussian weights.
*
* To address warping from 360 projections for videos with same
* projection and resolution, the 8x8 blocks sampled are weighted by
* their location in the image.
*
* To apply SSIM across projections and video sizes, we render the video on to
* a flat "tape" from which the 8x8 are selected and compared.
*/
/*
* @file
* Caculate the SSIM between two input 360 videos.
*/
#include <math.h>
#include "libavutil/avstring.h"
#include "libavutil/file_open.h"
#include "libavutil/mem.h"
#include "libavutil/opt.h"
#include "libavutil/pixdesc.h"
#include "avfilter.h"
#include "drawutils.h"
#include "internal.h"
#include "framesync.h"
#define RIGHT 0
#define LEFT 1
#define TOP 2
#define BOTTOM 3
#define FRONT 4
#define BACK 5
#define DEFAULT_HEATMAP_W 32
#define DEFAULT_HEATMAP_H 16
#define M_PI_F ((float)M_PI)
#define M_PI_2_F ((float)M_PI_2)
#define M_PI_4_F ((float)M_PI_4)
#define M_SQRT2_F ((float)M_SQRT2)
#define DEFAULT_EXPANSION_COEF 1.01f
#define BARREL_THETA_RANGE (DEFAULT_EXPANSION_COEF * 2.0f * M_PI_F)
#define BARREL_PHI_RANGE (DEFAULT_EXPANSION_COEF * M_PI_2_F)
// Use fixed-point with 16 bit precision for fast bilinear math
#define FIXED_POINT_PRECISION 16
// Use 1MB per channel for the histogram to get 5-digit precise SSIM value
#define SSIM360_HIST_SIZE 131072
// The last number is a marker < 0 to mark end of list
static const double PERCENTILE_LIST[] = {
1.0, 0.9, 0.8, 0.7, 0.6,
0.5, 0.4, 0.3, 0.2, 0.1, 0, -1
};
typedef enum StereoFormat {
STEREO_FORMAT_TB,
STEREO_FORMAT_LR,
STEREO_FORMAT_MONO,
STEREO_FORMAT_N
} StereoFormat;
typedef enum Projection {
PROJECTION_CUBEMAP32,
PROJECTION_CUBEMAP23,
PROJECTION_BARREL,
PROJECTION_BARREL_SPLIT,
PROJECTION_EQUIRECT,
PROJECTION_N
} Projection;
typedef struct Map2D {
int w, h;
double *value;
} Map2D;
typedef struct HeatmapList {
Map2D map;
struct HeatmapList *next;
} HeatmapList;
typedef struct SampleParams {
int stride;
int planewidth;
int planeheight;
int x_image_offset;
int y_image_offset;
int x_image_range;
int y_image_range;
int projection;
float expand_coef;
} SampleParams;
typedef struct BilinearMap {
// Indices to the 4 samples to compute bilinear
int tli;
int tri;
int bli;
int bri;
// Fixed point factors with which the above 4 sample vector's
// dot product needs to be computed for the final bilinear value
int tlf;
int trf;
int blf;
int brf;
} BilinearMap;
typedef struct SSIM360Context {
const AVClass *class;
FFFrameSync fs;
// Stats file configuration
FILE *stats_file;
char *stats_file_str;
// Component properties
int nb_components;
double coefs[4];
char comps[4];
int max;
// Channel configuration & properties
int compute_chroma;
int is_rgb;
uint8_t rgba_map[4];
// Standard SSIM computation configuration & workspace
uint64_t frame_skip_ratio;
int *temp;
uint64_t nb_ssim_frames;
uint64_t nb_net_frames;
double ssim360[4], ssim360_total;
double *ssim360_hist[4];
double ssim360_hist_net[4];
double ssim360_percentile_sum[4][256];
// 360 projection configuration & workspace
int ref_projection;
int main_projection;
int ref_stereo_format;
int main_stereo_format;
float ref_pad;
float main_pad;
int use_tape;
char *heatmap_str;
int default_heatmap_w;
int default_heatmap_h;
Map2D density;
HeatmapList *heatmaps;
int ref_planewidth[4];
int ref_planeheight[4];
int main_planewidth[4];
int main_planeheight[4];
int tape_length[4];
BilinearMap *ref_tape_map[4][2];
BilinearMap *main_tape_map[4][2];
float angular_resolution[4][2];
double (*ssim360_plane)(
uint8_t *main, int main_stride,
uint8_t *ref, int ref_stride,
int width, int height, void *temp,
int max, Map2D density);
} SSIM360Context;
#define OFFSET(x) offsetof(SSIM360Context, x)
#define FLAGS AV_OPT_FLAG_FILTERING_PARAM|AV_OPT_FLAG_VIDEO_PARAM
static const AVOption ssim360_options[] = {
{ "stats_file", "Set file where to store per-frame difference information",
OFFSET(stats_file_str), AV_OPT_TYPE_STRING, {.str=NULL}, 0, 0, FLAGS },
{ "f", "Set file where to store per-frame difference information",
OFFSET(stats_file_str), AV_OPT_TYPE_STRING, {.str=NULL}, 0, 0, FLAGS },
{ "compute_chroma",
"Specifies if non-luma channels must be computed",
OFFSET(compute_chroma), AV_OPT_TYPE_INT, {.i64 = 1},
0, 1, .flags = FLAGS },
{ "frame_skip_ratio",
"Specifies the number of frames to be skipped from evaluation, for every evaluated frame",
OFFSET(frame_skip_ratio), AV_OPT_TYPE_INT, {.i64 = 0},
0, 1000000, .flags = FLAGS },
{ "ref_projection", "projection of the reference video",
OFFSET(ref_projection), AV_OPT_TYPE_INT, {.i64 = PROJECTION_EQUIRECT},
0, PROJECTION_N - 1, .flags = FLAGS, .unit = "projection" },
{ "e", "equirectangular", 0, AV_OPT_TYPE_CONST, {.i64 = PROJECTION_EQUIRECT}, 0, 0, FLAGS, .unit = "projection" },
{ "equirect", "equirectangular", 0, AV_OPT_TYPE_CONST, {.i64 = PROJECTION_EQUIRECT}, 0, 0, FLAGS, .unit = "projection" },
{ "c3x2", "cubemap 3x2", 0, AV_OPT_TYPE_CONST, {.i64 = PROJECTION_CUBEMAP32}, 0, 0, FLAGS, .unit = "projection" },
{ "c2x3", "cubemap 2x3", 0, AV_OPT_TYPE_CONST, {.i64 = PROJECTION_CUBEMAP23}, 0, 0, FLAGS, .unit = "projection" },
{ "barrel", "barrel facebook's 360 format", 0, AV_OPT_TYPE_CONST, {.i64 = PROJECTION_BARREL}, 0, 0, FLAGS, .unit = "projection" },
{ "barrelsplit", "barrel split facebook's 360 format", 0, AV_OPT_TYPE_CONST, {.i64 = PROJECTION_BARREL_SPLIT}, 0, 0, FLAGS, .unit = "projection" },
{ "main_projection", "projection of the main video",
OFFSET(main_projection), AV_OPT_TYPE_INT, {.i64 = PROJECTION_N},
0, PROJECTION_N, .flags = FLAGS, .unit = "projection" },
{ "ref_stereo", "stereo format of the reference video",
OFFSET(ref_stereo_format), AV_OPT_TYPE_INT, {.i64 = STEREO_FORMAT_MONO},
0, STEREO_FORMAT_N - 1, .flags = FLAGS, .unit = "stereo_format" },
{ "mono", NULL, 0, AV_OPT_TYPE_CONST, {.i64 = STEREO_FORMAT_MONO }, 0, 0, FLAGS, .unit = "stereo_format" },
{ "tb", NULL, 0, AV_OPT_TYPE_CONST, {.i64 = STEREO_FORMAT_TB }, 0, 0, FLAGS, .unit = "stereo_format" },
{ "lr", NULL, 0, AV_OPT_TYPE_CONST, {.i64 = STEREO_FORMAT_LR }, 0, 0, FLAGS, .unit = "stereo_format" },
{ "main_stereo", "stereo format of main video",
OFFSET(main_stereo_format), AV_OPT_TYPE_INT, {.i64 = STEREO_FORMAT_N},
0, STEREO_FORMAT_N, .flags = FLAGS, .unit = "stereo_format" },
{ "ref_pad",
"Expansion (padding) coefficient for each cube face of the reference video",
OFFSET(ref_pad), AV_OPT_TYPE_FLOAT, {.dbl = .0f}, 0, 10, .flags = FLAGS },
{ "main_pad",
"Expansion (padding) coeffiecient for each cube face of the main video",
OFFSET(main_pad), AV_OPT_TYPE_FLOAT, {.dbl = .0f}, 0, 10, .flags = FLAGS },
{ "use_tape",
"Specifies if the tape based SSIM 360 algorithm must be used independent of the input video types",
OFFSET(use_tape), AV_OPT_TYPE_INT, {.i64 = 0},
0, 1, .flags = FLAGS },
{ "heatmap_str",
"Heatmap data for view-based evaluation. For heatmap file format, please refer to EntSphericalVideoHeatmapData.",
OFFSET(heatmap_str), AV_OPT_TYPE_STRING, {.str = NULL}, 0, 0, .flags = FLAGS },
{ "default_heatmap_width",
"Default heatmap dimension. Will be used when dimension is not specified in heatmap data.",
OFFSET(default_heatmap_w), AV_OPT_TYPE_INT, {.i64 = 32}, 1, 4096, .flags = FLAGS },
{ "default_heatmap_height",
"Default heatmap dimension. Will be used when dimension is not specified in heatmap data.",
OFFSET(default_heatmap_h), AV_OPT_TYPE_INT, {.i64 = 16}, 1, 4096, .flags = FLAGS },
{ NULL }
};
FRAMESYNC_DEFINE_CLASS(ssim360, SSIM360Context, fs);
static void set_meta(AVDictionary **metadata, const char *key, char comp, float d)
{
char value[128];
snprintf(value, sizeof(value), "%0.2f", d);
if (comp) {
char key2[128];
snprintf(key2, sizeof(key2), "%s%c", key, comp);
av_dict_set(metadata, key2, value, 0);
} else {
av_dict_set(metadata, key, value, 0);
}
}
static void map_uninit(Map2D *map)
{
av_freep(&map->value);
}
static int map_init(Map2D *map, int w, int h)
{
map->value = av_calloc(h * w, sizeof(*map->value));
if (!map->value)
return AVERROR(ENOMEM);
map->h = h;
map->w = w;
return 0;
}
static void map_list_free(HeatmapList **pl)
{
HeatmapList *l = *pl;
while (l) {
HeatmapList *next = l->next;
map_uninit(&l->map);
av_freep(&l);
l = next;
}
*pl = NULL;
}
static int map_alloc(HeatmapList **pl, int w, int h)
{
HeatmapList *l;
int ret;
l = av_mallocz(sizeof(*l));
if (!l)
return AVERROR(ENOMEM);
ret = map_init(&l->map, w, h);
if (ret < 0) {
av_freep(&l);
return ret;
}
*pl = l;
return 0;
}
static void
ssim360_4x4xn_16bit(const uint8_t *main8, ptrdiff_t main_stride,
const uint8_t *ref8, ptrdiff_t ref_stride,
int64_t (*sums)[4], int width)
{
const uint16_t *main16 = (const uint16_t *)main8;
const uint16_t *ref16 = (const uint16_t *)ref8;
main_stride >>= 1;
ref_stride >>= 1;
for (int z = 0; z < width; z++) {
uint64_t s1 = 0, s2 = 0, ss = 0, s12 = 0;
for (int y = 0; y < 4; y++) {
for (int x = 0; x < 4; x++) {
unsigned a = main16[x + y * main_stride];
unsigned b = ref16[x + y * ref_stride];
s1 += a;
s2 += b;
ss += a*a;
ss += b*b;
s12 += a*b;
}
}
sums[z][0] = s1;
sums[z][1] = s2;
sums[z][2] = ss;
sums[z][3] = s12;
main16 += 4;
ref16 += 4;
}
}
static void
ssim360_4x4xn_8bit(const uint8_t *main, ptrdiff_t main_stride,
const uint8_t *ref, ptrdiff_t ref_stride,
int (*sums)[4], int width)
{
for (int z = 0; z < width; z++) {
uint32_t s1 = 0, s2 = 0, ss = 0, s12 = 0;
for (int y = 0; y < 4; y++) {
for (int x = 0; x < 4; x++) {
int a = main[x + y * main_stride];
int b = ref[x + y * ref_stride];
s1 += a;
s2 += b;
ss += a*a;
ss += b*b;
s12 += a*b;
}
}
sums[z][0] = s1;
sums[z][1] = s2;
sums[z][2] = ss;
sums[z][3] = s12;
main += 4;
ref += 4;
}
}
static float ssim360_end1x(int64_t s1, int64_t s2, int64_t ss, int64_t s12, int max)
{
int64_t ssim_c1 = (int64_t)(.01 * .01 * max * max * 64 + .5);
int64_t ssim_c2 = (int64_t)(.03 * .03 * max * max * 64 * 63 + .5);
int64_t fs1 = s1;
int64_t fs2 = s2;
int64_t fss = ss;
int64_t fs12 = s12;
int64_t vars = fss * 64 - fs1 * fs1 - fs2 * fs2;
int64_t covar = fs12 * 64 - fs1 * fs2;
return (float)(2 * fs1 * fs2 + ssim_c1) * (float)(2 * covar + ssim_c2)
/ ((float)(fs1 * fs1 + fs2 * fs2 + ssim_c1) * (float)(vars + ssim_c2));
}
static float ssim360_end1(int s1, int s2, int ss, int s12)
{
static const int ssim_c1 = (int)(.01*.01*255*255*64 + .5);
static const int ssim_c2 = (int)(.03*.03*255*255*64*63 + .5);
int fs1 = s1;
int fs2 = s2;
int fss = ss;
int fs12 = s12;
int vars = fss * 64 - fs1 * fs1 - fs2 * fs2;
int covar = fs12 * 64 - fs1 * fs2;
return (float)(2 * fs1 * fs2 + ssim_c1) * (float)(2 * covar + ssim_c2)
/ ((float)(fs1 * fs1 + fs2 * fs2 + ssim_c1) * (float)(vars + ssim_c2));
}
static double
ssim360_endn_16bit(const int64_t (*sum0)[4], const int64_t (*sum1)[4],
int width, int max,
double *density_map, int map_width, double *total_weight)
{
double ssim360 = 0.0, weight;
for (int i = 0; i < width; i++) {
weight = density_map ? density_map[(int) ((0.5 + i) / width * map_width)] : 1.0;
ssim360 += weight * ssim360_end1x(
sum0[i][0] + sum0[i + 1][0] + sum1[i][0] + sum1[i + 1][0],
sum0[i][1] + sum0[i + 1][1] + sum1[i][1] + sum1[i + 1][1],
sum0[i][2] + sum0[i + 1][2] + sum1[i][2] + sum1[i + 1][2],
sum0[i][3] + sum0[i + 1][3] + sum1[i][3] + sum1[i + 1][3],
max);
*total_weight += weight;
}
return ssim360;
}
static double
ssim360_endn_8bit(const int (*sum0)[4], const int (*sum1)[4], int width,
double *density_map, int map_width, double *total_weight)
{
double ssim360 = 0.0, weight;
for (int i = 0; i < width; i++) {
weight = density_map ? density_map[(int) ((0.5 + i) / width * map_width)] : 1.0;
ssim360 += weight * ssim360_end1(
sum0[i][0] + sum0[i + 1][0] + sum1[i][0] + sum1[i + 1][0],
sum0[i][1] + sum0[i + 1][1] + sum1[i][1] + sum1[i + 1][1],
sum0[i][2] + sum0[i + 1][2] + sum1[i][2] + sum1[i + 1][2],
sum0[i][3] + sum0[i + 1][3] + sum1[i][3] + sum1[i + 1][3]);
*total_weight += weight;
}
return ssim360;
}
static double
ssim360_plane_16bit(uint8_t *main, int main_stride,
uint8_t *ref, int ref_stride,
int width, int height, void *temp,
int max, Map2D density)
{
int z = 0;
double ssim360 = 0.0;
int64_t (*sum0)[4] = temp;
int64_t (*sum1)[4] = sum0 + (width >> 2) + 3;
double total_weight = 0.0;
width >>= 2;
height >>= 2;
for (int y = 1; y < height; y++) {
for (; z <= y; z++) {
FFSWAP(void*, sum0, sum1);
ssim360_4x4xn_16bit(&main[4 * z * main_stride], main_stride,
&ref[4 * z * ref_stride], ref_stride,
sum0, width);
}
ssim360 += ssim360_endn_16bit(
(const int64_t (*)[4])sum0, (const int64_t (*)[4])sum1,
width - 1, max,
density.value ? density.value + density.w * ((int) ((z - 1.0) / height * density.h)) : NULL,
density.w, &total_weight);
}
return (double) (ssim360 / total_weight);
}
static double
ssim360_plane_8bit(uint8_t *main, int main_stride,
uint8_t *ref, int ref_stride,
int width, int height, void *temp,
int max, Map2D density)
{
int z = 0;
double ssim360 = 0.0;
int (*sum0)[4] = temp;
int (*sum1)[4] = sum0 + (width >> 2) + 3;
double total_weight = 0.0;
width >>= 2;
height >>= 2;
for (int y = 1; y < height; y++) {
for (; z <= y; z++) {
FFSWAP(void*, sum0, sum1);
ssim360_4x4xn_8bit(
&main[4 * z * main_stride], main_stride,
&ref[4 * z * ref_stride], ref_stride,
sum0, width);
}
ssim360 += ssim360_endn_8bit(
(const int (*)[4])sum0, (const int (*)[4])sum1, width - 1,
density.value ? density.value + density.w * ((int) ((z - 1.0) / height * density.h)) : NULL,
density.w, &total_weight);
}
return (double) (ssim360 / total_weight);
}
static double ssim360_db(double ssim360, double weight)
{
return 10 * log10(weight / (weight - ssim360));
}
static int get_bilinear_sample(const uint8_t *data, BilinearMap *m, int max_value)
{
static const int fixed_point_half = 1 << (FIXED_POINT_PRECISION - 1);
static const int inv_byte_mask = UINT_MAX << 8;
int tl, tr, bl, br, v;
if (max_value & inv_byte_mask) {
uint16_t *data16 = (uint16_t *)data;
tl = data16[m->tli];
tr = data16[m->tri];
bl = data16[m->bli];
br = data16[m->bri];
} else {
tl = data[m->tli];
tr = data[m->tri];
bl = data[m->bli];
br = data[m->bri];
}
v = m->tlf * tl +
m->trf * tr +
m->blf * bl +
m->brf * br;
// Round by half, and revert the fixed-point offset
return ((v + fixed_point_half) >> FIXED_POINT_PRECISION) & max_value;
}
static void
ssim360_4x4x2_tape(const uint8_t *main, BilinearMap *main_maps,
const uint8_t *ref, BilinearMap *ref_maps,
int offset_y, int max_value, int (*sums)[4])
{
int offset_x = 0;
// Two blocks along the width
for (int z = 0; z < 2; z++) {
int s1 = 0, s2 = 0, ss = 0, s12 = 0;
// 4 pixel block from (offset_x, offset_y)
for (int y = offset_y; y < offset_y + 4; y++) {
int y_stride = y << 3;
for (int x = offset_x; x < offset_x + 4; x++) {
int map_index = x + y_stride;
int a = get_bilinear_sample(main, main_maps + map_index, max_value);
int b = get_bilinear_sample(ref, ref_maps + map_index, max_value);
s1 += a;
s2 += b;
ss += a*a;
ss += b*b;
s12 += a*b;
}
}
sums[z][0] = s1;
sums[z][1] = s2;
sums[z][2] = ss;
sums[z][3] = s12;
offset_x += 4;
}
}
static float get_radius_between_negative_and_positive_pi(float theta)
{
int floor_theta_by_2pi, floor_theta_by_pi;
// Convert theta to range [0, 2*pi]
floor_theta_by_2pi = (int)(theta / (2.0f * M_PI_F)) - (theta < 0.0f);
theta -= 2.0f * M_PI_F * floor_theta_by_2pi;
// Convert theta to range [-pi, pi]
floor_theta_by_pi = theta / M_PI_F;
theta -= 2.0f * M_PI_F * floor_theta_by_pi;
return FFMIN(M_PI_F, FFMAX(-M_PI_F, theta));
}
static float get_heat(HeatmapList *heatmaps, float angular_resoluation, float norm_tape_pos)
{
float pitch, yaw, norm_pitch, norm_yaw;
int w, h;
if (!heatmaps)
return 1.0f;
pitch = asinf(norm_tape_pos*2);
yaw = M_PI_2_F * pitch / angular_resoluation;
yaw = get_radius_between_negative_and_positive_pi(yaw);
// normalize into [0,1]
norm_pitch = 1.0f - (pitch / M_PI_F + 0.5f);
norm_yaw = yaw / 2.0f / M_PI_F + 0.5f;
// get heat on map
w = FFMIN(heatmaps->map.w - 1, FFMAX(0, heatmaps->map.w * norm_yaw));
h = FFMIN(heatmaps->map.h - 1, FFMAX(0, heatmaps->map.h * norm_pitch));
return heatmaps->map.value[h * heatmaps->map.w + w];
}
static double
ssim360_tape(uint8_t *main, BilinearMap *main_maps,
uint8_t *ref, BilinearMap *ref_maps,
int tape_length, int max_value, void *temp,
double *ssim360_hist, double *ssim360_hist_net,
float angular_resolution, HeatmapList *heatmaps)
{
int horizontal_block_count = 2;
int vertical_block_count = tape_length >> 2;
int z = 0, y;
// Since the tape will be very long and we need to average over all 8x8 blocks, use double
double ssim360 = 0.0;
double sum_weight = 0.0;
int (*sum0)[4] = temp;
int (*sum1)[4] = sum0 + horizontal_block_count + 3;
for (y = 1; y < vertical_block_count; y++) {
int fs1, fs2, fss, fs12, hist_index;
float norm_tape_pos, weight;
double sample_ssim360;
for (; z <= y; z++) {
FFSWAP(void*, sum0, sum1);
ssim360_4x4x2_tape(main, main_maps, ref, ref_maps, z*4, max_value, sum0);
}
// Given we have only one 8x8 block, following sums fit within 26 bits even for 10bit videos
fs1 = sum0[0][0] + sum0[1][0] + sum1[0][0] + sum1[1][0];
fs2 = sum0[0][1] + sum0[1][1] + sum1[0][1] + sum1[1][1];
fss = sum0[0][2] + sum0[1][2] + sum1[0][2] + sum1[1][2];
fs12 = sum0[0][3] + sum0[1][3] + sum1[0][3] + sum1[1][3];
if (max_value > 255) {
// Since we need high precision to multiply fss / fs12 by 64, use double
double ssim_c1_d = .01*.01*64*max_value*max_value;
double ssim_c2_d = .03*.03*64*63*max_value*max_value;
double vars = 64. * fss - 1. * fs1 * fs1 - 1. * fs2 * fs2;
double covar = 64. * fs12 - 1.*fs1 * fs2;
sample_ssim360 = (2. * fs1 * fs2 + ssim_c1_d) * (2. * covar + ssim_c2_d)
/ ((1. * fs1 * fs1 + 1. * fs2 * fs2 + ssim_c1_d) * (1. * vars + ssim_c2_d));
} else {
static const int ssim_c1 = (int)(.01*.01*255*255*64 + .5);
static const int ssim_c2 = (int)(.03*.03*255*255*64*63 + .5);
int vars = fss * 64 - fs1 * fs1 - fs2 * fs2;
int covar = fs12 * 64 - fs1 * fs2;
sample_ssim360 = (double)(2 * fs1 * fs2 + ssim_c1) * (double)(2 * covar + ssim_c2)
/ ((double)(fs1 * fs1 + fs2 * fs2 + ssim_c1) * (double)(vars + ssim_c2));
}
hist_index = (int)(sample_ssim360 * ((double)SSIM360_HIST_SIZE - .5));
hist_index = av_clip(hist_index, 0, SSIM360_HIST_SIZE - 1);
norm_tape_pos = (y - 0.5f) / (vertical_block_count - 1.0f) - 0.5f;
// weight from an input heatmap if available, otherwise weight = 1.0
weight = get_heat(heatmaps, angular_resolution, norm_tape_pos);
ssim360_hist[hist_index] += weight;
*ssim360_hist_net += weight;
ssim360 += (sample_ssim360 * weight);
sum_weight += weight;
}
return ssim360 / sum_weight;
}
static void compute_bilinear_map(SampleParams *p, BilinearMap *m, float x, float y)
{
float fixed_point_scale = (float)(1 << FIXED_POINT_PRECISION);
// All operations in here will fit in the 22 bit mantissa of floating point,
// since the fixed point precision is well under 22 bits
float x_image = av_clipf(x * p->x_image_range, 0, p->x_image_range) + p->x_image_offset;
float y_image = av_clipf(y * p->y_image_range, 0, p->y_image_range) + p->y_image_offset;
int x_floor = x_image;
int y_floor = y_image;
float x_diff = x_image - x_floor;
float y_diff = y_image - y_floor;
int x_ceil = x_floor + (x_diff > 1e-6);
int y_ceil = y_floor + (y_diff > 1e-6);
float x_inv_diff = 1.0f - x_diff;
float y_inv_diff = 1.0f - y_diff;
// Indices of the 4 samples from source frame
m->tli = x_floor + y_floor * p->stride;
m->tri = x_ceil + y_floor * p->stride;
m->bli = x_floor + y_ceil * p->stride;
m->bri = x_ceil + y_ceil * p->stride;
// Scale to be applied to each of the 4 samples from source frame
m->tlf = x_inv_diff * y_inv_diff * fixed_point_scale;
m->trf = x_diff * y_inv_diff * fixed_point_scale;
m->blf = x_inv_diff * y_diff * fixed_point_scale;
m->brf = x_diff * y_diff * fixed_point_scale;
}
static void get_equirect_map(float phi, float theta, float *x, float *y)
{
*x = 0.5f + theta / (2.0f * M_PI_F);
// y increases downwards
*y = 0.5f - phi / M_PI_F;
}
static void get_barrel_map(float phi, float theta, float *x, float *y)
{
float abs_phi = FFABS(phi);
if (abs_phi <= M_PI_4_F) {
// Equirect region
*x = 0.8f * (0.5f + theta / BARREL_THETA_RANGE);
// y increases downwards
*y = 0.5f - phi / BARREL_PHI_RANGE;
} else {
// Radial ratio on a unit circle = cot(abs_phi) / (expansion_cefficient).
// Using cos(abs_phi)/sin(abs_phi) explicitly to avoid division by zero
float radial_ratio = cosf(abs_phi) / (sinf(abs_phi) * DEFAULT_EXPANSION_COEF);
float circle_x = radial_ratio * sinf(theta);
float circle_y = radial_ratio * cosf(theta);
float offset_y = 0.25f;
if (phi < 0) {
// Bottom circle: theta increases clockwise, and front is upward
circle_y *= -1.0f;
offset_y += 0.5f;
}
*x = 0.8f + 0.1f * (1.0f + circle_x);
*y = offset_y + 0.25f * circle_y;
}
}
static void get_barrel_split_map(float phi, float theta, float expand_coef, float *x, float *y)
{
float abs_phi = FFABS(phi);
// Front Face [-PI/2, PI/2] -> [0,1].
// Back Face [PI/2, PI] and [-PI, -PI/2] -> [1, 2]
float radian_pi_theta = theta / M_PI_F + 0.5f;
int vFace;
if (radian_pi_theta < 0.0f)
radian_pi_theta += 2.0f;
// Front face at top (= 0), back face at bottom (= 1).
vFace = radian_pi_theta >= 1.0f;
if (abs_phi <= M_PI_4_F) {
// Equirect region
*x = 2.0f / 3.0f * (0.5f + (radian_pi_theta - vFace - 0.5f) / expand_coef);
// y increases downwards
*y = 0.25f + 0.5f * vFace - phi / (M_PI_F * expand_coef);
} else {
// Radial ratio on a unit circle = cot(abs_phi) / (expansion_cefficient).
// Using cos(abs_phi)/sin(abs_phi) explicitly to avoid division by zero
float radial_ratio = cosf(abs_phi) / (sinf(abs_phi) * expand_coef);
float circle_x = radial_ratio * sinf(theta);
float circle_y = radial_ratio * cosf(theta);
float offset_y = 0.25f;
if (vFace == 1) {
// Back Face: Flip
circle_x *= -1.0f;
circle_y = (circle_y >= 0.0f) ? (1 - circle_y) : (-1 - circle_y);
offset_y += 0.5f;
// Bottom circle: theta increases clockwise
if (phi < 0)
circle_y *= -1.0f;
} else {
// Front Face
// Bottom circle: theta increases clockwise
if (phi < 0)
circle_y *= -1.0f;
}
*x = 2.0f / 3.0f + 0.5f / 3.0f * (1.0f + circle_x);
*y = offset_y + 0.25f * circle_y / expand_coef; // y direction of expand_coeff (margin)
}
}
// Returns cube face, and provided face_x & face_y will range from [0, 1]
static int get_cubemap_face_map(float axis_vec_x, float axis_vec_y, float axis_vec_z, float *face_x, float *face_y)
{
// To check if phi, theta hits the top / bottom faces, we check the hit point of
// the axis vector on planes y = 1 and y = -1, and see if x & z are within [-1, 1]
// 0.577 < 1 / sqrt(3), which is less than the smallest sin(phi) falling on top/bottom faces
// This angle check will save computation from unnecessarily checking the top/bottom faces
if (FFABS(axis_vec_y) > 0.577f) {
float x_hit = axis_vec_x / FFABS(axis_vec_y);
float z_hit = axis_vec_z / axis_vec_y;
if (FFABS(x_hit) <= 1.f && FFABS(z_hit) <= 1.f) {
*face_x = x_hit;
// y increases downwards
*face_y = z_hit;
return axis_vec_y > 0 ? TOP : BOTTOM;
}
}
// Check for left / right faces
if (FFABS(axis_vec_x) > 0.577f) {
float z_hit = -axis_vec_z / axis_vec_x;
float y_hit = axis_vec_y / FFABS(axis_vec_x);
if (FFABS(z_hit) <= 1.f && FFABS(y_hit) <= 1.f) {
*face_x = z_hit;
// y increases downwards
*face_y = -y_hit;
return axis_vec_x > 0 ? RIGHT : LEFT;
}
}
// Front / back faces
*face_x = axis_vec_x / axis_vec_z;
// y increases downwards
*face_y = -axis_vec_y / FFABS(axis_vec_z);
return axis_vec_z > 0 ? FRONT : BACK;
}
static void get_cubemap32_map(float phi, float theta, float *x, float *y)
{
// face_projection_map maps each cube face to an index representing the face on the projection
// The indices 0->5 for cubemap 32 goes as:
// [0, 1, 2] as row 1, left to right
// [3, 4, 5] as row 2, left to right
static const int face_projection_map[] = {
[RIGHT] = 0, [LEFT] = 1, [TOP] = 2,
[BOTTOM] = 3, [FRONT] = 4, [BACK] = 5,
};
float axis_vec_x = cosf(phi) * sinf(theta);
float axis_vec_y = sinf(phi);
float axis_vec_z = cosf(phi) * cosf(theta);
float face_x = 0, face_y = 0;
int face_index = get_cubemap_face_map(axis_vec_x, axis_vec_y, axis_vec_z, &face_x, &face_y);
float x_offset = 1.f / 3.f * (face_projection_map[face_index] % 3);
float y_offset = .5f * (face_projection_map[face_index] / 3);
*x = x_offset + (face_x / DEFAULT_EXPANSION_COEF + 1.f) / 6.f;
*y = y_offset + (face_y / DEFAULT_EXPANSION_COEF + 1.f) / 4.f;
}
static void get_rotated_cubemap_map(float phi, float theta, float expand_coef, float *x, float *y)
{
// face_projection_map maps each cube face to an index representing the face on the projection
// The indices 0->5 for rotated cubemap goes as:
// [0, 1] as row 1, left to right
// [2, 3] as row 2, left to right
// [4, 5] as row 3, left to right
static const int face_projection_map[] = {
[LEFT] = 0, [TOP] = 1,
[FRONT] = 2, [BACK] = 3,
[RIGHT] = 4, [BOTTOM] = 5,
};
float axis_yaw_vec_x, axis_yaw_vec_y, axis_yaw_vec_z;
float axis_pitch_vec_z, axis_pitch_vec_y;
float x_offset, y_offset;
float face_x = 0, face_y = 0;
int face_index;
// Unrotate the cube and fix the face map:
// First undo the 45 degree yaw
theta += M_PI_4_F;
// Now we are looking at the middle of an edge. So convert to axis vector & undo the pitch
axis_yaw_vec_x = cosf(phi) * sinf(theta);
axis_yaw_vec_y = sinf(phi);
axis_yaw_vec_z = cosf(phi) * cosf(theta);
// The pitch axis is along +x, and has value of -45 degree. So, only y and z components change
axis_pitch_vec_z = (axis_yaw_vec_z - axis_yaw_vec_y) / M_SQRT2_F;
axis_pitch_vec_y = (axis_yaw_vec_y + axis_yaw_vec_z) / M_SQRT2_F;
face_index = get_cubemap_face_map(axis_yaw_vec_x, axis_pitch_vec_y, axis_pitch_vec_z, &face_x, &face_y);
// Correct for the orientation of the axes on the faces
if (face_index == LEFT || face_index == FRONT || face_index == RIGHT) {
// x increases downwards & y increases towards left
float upright_y = face_y;
face_y = face_x;
face_x = -upright_y;
} else if (face_index == TOP || face_index == BOTTOM) {
// turn the face upside-down for top and bottom
face_x *= -1.f;
face_y *= -1.f;
}
x_offset = .5f * (face_projection_map[face_index] & 1);
y_offset = 1.f / 3.f * (face_projection_map[face_index] >> 1);
*x = x_offset + (face_x / expand_coef + 1.f) / 4.f;
*y = y_offset + (face_y / expand_coef + 1.f) / 6.f;
}
static void get_projected_map(float phi, float theta, SampleParams *p, BilinearMap *m)
{
float x = 0, y = 0;
switch(p->projection) {
// TODO: Calculate for CDS
case PROJECTION_CUBEMAP23:
get_rotated_cubemap_map(phi, theta, p->expand_coef, &x, &y);
break;
case PROJECTION_CUBEMAP32:
get_cubemap32_map(phi, theta, &x, &y);
break;
case PROJECTION_BARREL:
get_barrel_map(phi, theta, &x, &y);
break;
case PROJECTION_BARREL_SPLIT:
get_barrel_split_map(phi, theta, p->expand_coef, &x, &y);
break;
// Assume PROJECTION_EQUIRECT as the default
case PROJECTION_EQUIRECT:
default:
get_equirect_map(phi, theta, &x, &y);
break;
}
compute_bilinear_map(p, m, x, y);
}
static int tape_supports_projection(int projection)
{
switch(projection) {
case PROJECTION_CUBEMAP23:
case PROJECTION_CUBEMAP32:
case PROJECTION_BARREL:
case PROJECTION_BARREL_SPLIT:
case PROJECTION_EQUIRECT:
return 1;
default:
return 0;
}
}
static float get_tape_angular_resolution(int projection, float expand_coef, int image_width, int image_height)
{
// NOTE: The angular resolution of a projected sphere is defined as
// the maximum possible horizontal angle of a pixel on the equator.
// We apply an intentional bias to the horizon as opposed to the meridian,
// since the view direction of most content is rarely closer to the poles
switch(projection) {
// TODO: Calculate for CDS
case PROJECTION_CUBEMAP23:
// Approximating atanf(pixel_width / (half_edge_width * sqrt2)) = pixel_width / (half_face_width * sqrt2)
return expand_coef / (M_SQRT2_F * image_width / 4.f);
case PROJECTION_CUBEMAP32:
// Approximating atanf(pixel_width / half_face_width) = pixel_width / half_face_width
return DEFAULT_EXPANSION_COEF / (image_width / 6.f);
case PROJECTION_BARREL:
return FFMAX(BARREL_THETA_RANGE / (0.8f * image_width), BARREL_PHI_RANGE / image_height);
case PROJECTION_BARREL_SPLIT:
return FFMAX((expand_coef * M_PI_F) / (2.0f / 3.0f * image_width),
expand_coef * M_PI_2_F / (image_height / 2.0f));
// Assume PROJECTION_EQUIRECT as the default
case PROJECTION_EQUIRECT:
default:
return FFMAX(2.0f * M_PI_F / image_width, M_PI_F / image_height);
}
}
static int
generate_eye_tape_map(SSIM360Context *s,
int plane, int eye,
SampleParams *ref_sample_params,
SampleParams *main_sample_params)
{
int ref_image_width = ref_sample_params->x_image_range + 1;
int ref_image_height = ref_sample_params->y_image_range + 1;
float angular_resolution =
get_tape_angular_resolution(s->ref_projection, 1.f + s->ref_pad,
ref_image_width, ref_image_height);
float conversion_factor = M_PI_2_F / (angular_resolution * angular_resolution);
float start_phi = -M_PI_2_F + 4.0f * angular_resolution;
float start_x = conversion_factor * sinf(start_phi);
float end_phi = M_PI_2_F - 3.0f * angular_resolution;
float end_x = conversion_factor * sinf(end_phi);
float x_range = end_x - start_x;
// Ensure tape length is a multiple of 4, for full SSIM block coverage
int tape_length = s->tape_length[plane] = ((int)ROUNDED_DIV(x_range, 4)) << 2;
s->ref_tape_map[plane][eye] = av_malloc_array(tape_length * 8, sizeof(BilinearMap));
s->main_tape_map[plane][eye] = av_malloc_array(tape_length * 8, sizeof(BilinearMap));
if (!s->ref_tape_map[plane][eye] || !s->main_tape_map[plane][eye])
return AVERROR(ENOMEM);
s->angular_resolution[plane][eye] = angular_resolution;
// For easy memory access, we navigate the tape lengthwise on y
for (int y_index = 0; y_index < tape_length; y_index ++) {
int y_stride = y_index << 3;
float x = start_x + x_range * (y_index / (tape_length - 1.0f));
// phi will be in range [-pi/2, pi/2]
float mid_phi = asinf(x / conversion_factor);
float theta = mid_phi * M_PI_2_F / angular_resolution;
theta = get_radius_between_negative_and_positive_pi(theta);
for (int x_index = 0; x_index < 8; x_index ++) {
float phi = mid_phi + angular_resolution * (3.0f - x_index);
int tape_index = y_stride + x_index;
get_projected_map(phi, theta, ref_sample_params, &s->ref_tape_map [plane][eye][tape_index]);
get_projected_map(phi, theta, main_sample_params, &s->main_tape_map[plane][eye][tape_index]);
}
}
return 0;
}
static int generate_tape_maps(SSIM360Context *s, AVFrame *main, const AVFrame *ref)
{
// A tape is a long segment with 8 pixels thickness, with the angular center at the middle (below 4th pixel).
// When it takes a full loop around a sphere, it will overlap the starting point at half the width from above.
int ref_stereo_format = s->ref_stereo_format;
int main_stereo_format = s->main_stereo_format;
int are_both_stereo = (main_stereo_format != STEREO_FORMAT_MONO) && (ref_stereo_format != STEREO_FORMAT_MONO);
int min_eye_count = 1 + are_both_stereo;
int ret;
for (int i = 0; i < s->nb_components; i ++) {
int ref_width = s->ref_planewidth[i];
int ref_height = s->ref_planeheight[i];
int main_width = s->main_planewidth[i];
int main_height = s->main_planeheight[i];
int is_ref_LR = (ref_stereo_format == STEREO_FORMAT_LR);
int is_ref_TB = (ref_stereo_format == STEREO_FORMAT_TB);
int is_main_LR = (main_stereo_format == STEREO_FORMAT_LR);
int is_main_TB = (main_stereo_format == STEREO_FORMAT_TB);
int ref_image_width = is_ref_LR ? ref_width >> 1 : ref_width;
int ref_image_height = is_ref_TB ? ref_height >> 1 : ref_height;
int main_image_width = is_main_LR ? main_width >> 1 : main_width;
int main_image_height = is_main_TB ? main_height >> 1 : main_height;
for (int eye = 0; eye < min_eye_count; eye ++) {
SampleParams ref_sample_params = {
.stride = ref->linesize[i],
.planewidth = ref_width,
.planeheight = ref_height,
.x_image_range = ref_image_width - 1,
.y_image_range = ref_image_height - 1,
.x_image_offset = is_ref_LR * eye * ref_image_width,
.y_image_offset = is_ref_TB * eye * ref_image_height,
.projection = s->ref_projection,
.expand_coef = 1.f + s->ref_pad,
};
SampleParams main_sample_params = {
.stride = main->linesize[i],
.planewidth = main_width,
.planeheight = main_height,
.x_image_range = main_image_width - 1,
.y_image_range = main_image_height - 1,
.x_image_offset = is_main_LR * eye * main_image_width,
.y_image_offset = is_main_TB * eye * main_image_height,
.projection = s->main_projection,
.expand_coef = 1.f + s->main_pad,
};
ret = generate_eye_tape_map(s, i, eye, &ref_sample_params, &main_sample_params);
if (ret < 0)
return ret;
}
}
return 0;
}
static int do_ssim360(FFFrameSync *fs)
{
AVFilterContext *ctx = fs->parent;
SSIM360Context *s = ctx->priv;
AVFrame *master, *ref;
AVDictionary **metadata;
double c[4], ssim360v = 0.0, ssim360p50 = 0.0;
int i, ret;
int need_frame_skip = s->nb_net_frames % (s->frame_skip_ratio + 1);
HeatmapList* h_ptr = NULL;
ret = ff_framesync_dualinput_get(fs, &master, &ref);
if (ret < 0)
return ret;
s->nb_net_frames++;
if (need_frame_skip)
return ff_filter_frame(ctx->outputs[0], master);
metadata = &master->metadata;
if (s->use_tape && !s->tape_length[0]) {
ret = generate_tape_maps(s, master, ref);
if (ret < 0)
return ret;
}
for (i = 0; i < s->nb_components; i++) {
if (s->use_tape) {
c[i] = ssim360_tape(master->data[i], s->main_tape_map[i][0],
ref->data[i], s->ref_tape_map [i][0],
s->tape_length[i], s->max, s->temp,
s->ssim360_hist[i], &s->ssim360_hist_net[i],
s->angular_resolution[i][0], s->heatmaps);
if (s->ref_tape_map[i][1]) {
c[i] += ssim360_tape(master->data[i], s->main_tape_map[i][1],
ref->data[i], s->ref_tape_map[i][1],
s->tape_length[i], s->max, s->temp,
s->ssim360_hist[i], &s->ssim360_hist_net[i],
s->angular_resolution[i][1], s->heatmaps);
c[i] /= 2.f;
}
} else {
c[i] = s->ssim360_plane(master->data[i], master->linesize[i],
ref->data[i], ref->linesize[i],
s->ref_planewidth[i], s->ref_planeheight[i],
s->temp, s->max, s->density);
}
s->ssim360[i] += c[i];
ssim360v += s->coefs[i] * c[i];
}
s->nb_ssim_frames++;
if (s->heatmaps) {
map_uninit(&s->heatmaps->map);
h_ptr = s->heatmaps;
s->heatmaps = s->heatmaps->next;
av_freep(&h_ptr);
}
s->ssim360_total += ssim360v;
// Record percentiles from histogram and attach metadata when using tape
if (s->use_tape) {
int i, p, hist_indices[4];
double hist_weight[4];
for (i = 0; i < s->nb_components; i++) {
hist_indices[i] = SSIM360_HIST_SIZE - 1;
hist_weight[i] = 0;
}
for (p = 0; PERCENTILE_LIST[p] >= 0.0; p ++) {
for (i = 0; i < s->nb_components; i++) {
double target_weight, ssim360p;
// Target weight = total number of samples above the specified percentile
target_weight = (1. - PERCENTILE_LIST[p]) * s->ssim360_hist_net[i];
target_weight = FFMAX(target_weight, 1);
while(hist_indices[i] >= 0 && hist_weight[i] < target_weight) {
hist_weight[i] += s->ssim360_hist[i][hist_indices[i]];
hist_indices[i] --;
}
ssim360p = (double)(hist_indices[i] + 1) / (double)(SSIM360_HIST_SIZE - 1);
if (PERCENTILE_LIST[p] == 0.5)
ssim360p50 += s->coefs[i] * ssim360p;
s->ssim360_percentile_sum[i][p] += ssim360p;
}
}
for (i = 0; i < s->nb_components; i++) {
memset(s->ssim360_hist[i], 0, SSIM360_HIST_SIZE * sizeof(double));
s->ssim360_hist_net[i] = 0;
}
for (i = 0; i < s->nb_components; i++) {
int cidx = s->is_rgb ? s->rgba_map[i] : i;
set_meta(metadata, "lavfi.ssim360.", s->comps[i], c[cidx]);
}
// Use p50 as the aggregated value
set_meta(metadata, "lavfi.ssim360.All", 0, ssim360p50);
set_meta(metadata, "lavfi.ssim360.dB", 0, ssim360_db(ssim360p50, 1.0));
if (s->stats_file) {
fprintf(s->stats_file, "n:%"PRId64" ", s->nb_ssim_frames);
for (i = 0; i < s->nb_components; i++) {
int cidx = s->is_rgb ? s->rgba_map[i] : i;
fprintf(s->stats_file, "%c:%f ", s->comps[i], c[cidx]);
}
fprintf(s->stats_file, "All:%f (%f)\n", ssim360p50, ssim360_db(ssim360p50, 1.0));
}
}
return ff_filter_frame(ctx->outputs[0], master);
}
static int parse_heatmaps(void *logctx, HeatmapList **proot,
const char *data, int w, int h)
{
HeatmapList *root = NULL;
HeatmapList **next = &root;
int ret;
// skip video id line
data = strchr(data, '\n');
if (!data) {
av_log(logctx, AV_LOG_ERROR, "Invalid heatmap syntax\n");
return AVERROR(EINVAL);
}
data++;
while (*data) {
HeatmapList *cur;
char *line = av_get_token(&data, "\n");
char *saveptr, *val;
int i;
if (!line) {
ret = AVERROR(ENOMEM);
goto fail;
}
// first value is frame id
av_strtok(line, ",", &saveptr);
ret = map_alloc(next, w, h);
if (ret < 0)
goto line_fail;
cur = *next;
next = &cur->next;
i = 0;
while ((val = av_strtok(NULL, ",", &saveptr))) {
if (i >= w * h) {
av_log(logctx, AV_LOG_ERROR, "Too many entries in a heat map\n");
ret = AVERROR(EINVAL);
goto line_fail;
}
cur->map.value[i++] = atof(val);
}
line_fail:
av_freep(&line);
if (ret < 0)
goto fail;
}
*proot = root;
return 0;
fail:
map_list_free(&root);
return ret;
}
static av_cold int init(AVFilterContext *ctx)
{
SSIM360Context *s = ctx->priv;
int err;
if (s->stats_file_str) {
if (!strcmp(s->stats_file_str, "-")) {
s->stats_file = stdout;
} else {
s->stats_file = avpriv_fopen_utf8(s->stats_file_str, "w");
if (!s->stats_file) {
char buf[128];
err = AVERROR(errno);
av_strerror(err, buf, sizeof(buf));
av_log(ctx, AV_LOG_ERROR, "Could not open stats file %s: %s\n",
s->stats_file_str, buf);
return err;
}
}
}
if (s->use_tape && s->heatmap_str) {
err = parse_heatmaps(ctx, &s->heatmaps, s->heatmap_str,
s->default_heatmap_w, s->default_heatmap_h);
if (err < 0)
return err;
}
s->fs.on_event = do_ssim360;
return 0;
}
static int config_input_main(AVFilterLink *inlink)
{
const AVPixFmtDescriptor *desc = av_pix_fmt_desc_get(inlink->format);
AVFilterContext *ctx = inlink->dst;
SSIM360Context *s = ctx->priv;
s->main_planeheight[0] = inlink->h;
s->main_planeheight[3] = inlink->h;
s->main_planeheight[1] = AV_CEIL_RSHIFT(inlink->h, desc->log2_chroma_h);
s->main_planeheight[2] = AV_CEIL_RSHIFT(inlink->h, desc->log2_chroma_h);
s->main_planewidth[0] = inlink->w;
s->main_planewidth[3] = inlink->w;
s->main_planewidth[1] = AV_CEIL_RSHIFT(inlink->w, desc->log2_chroma_w);
s->main_planewidth[2] = AV_CEIL_RSHIFT(inlink->w, desc->log2_chroma_w);
// If main projection is unindentified, assume it is same as reference
if (s->main_projection == PROJECTION_N)
s->main_projection = s->ref_projection;
// If main stereo format is unindentified, assume it is same as reference
if (s->main_stereo_format == STEREO_FORMAT_N)
s->main_stereo_format = s->ref_stereo_format;
return 0;
}
static int generate_density_map(SSIM360Context *s, int w, int h)
{
double d, r_square, cos_square;
int ow, oh, ret;
ret = map_init(&s->density, w, h);
if (ret < 0)
return ret;
switch (s->ref_stereo_format) {
case STEREO_FORMAT_TB:
h >>= 1;
break;
case STEREO_FORMAT_LR:
w >>= 1;
break;
}
switch (s->ref_projection) {
case PROJECTION_EQUIRECT:
for (int i = 0; i < h; i++) {
d = cos(((0.5 + i) / h - 0.5) * M_PI);
for (int j = 0; j < w; j++)
s->density.value[i * w + j] = d;
}
break;
case PROJECTION_CUBEMAP32:
// for one quater of a face
for (int i = 0; i < h / 4; i++) {
for (int j = 0; j < w / 6; j++) {
// r = normalized distance to the face center
r_square =
(0.5 + i) / (h / 2) * (0.5 + i) / (h / 2) +
(0.5 + j) / (w / 3) * (0.5 + j) / (w / 3);
r_square /= DEFAULT_EXPANSION_COEF * DEFAULT_EXPANSION_COEF;
cos_square = 0.25 / (r_square + 0.25);
d = pow(cos_square, 1.5);
for (int face = 0; face < 6; face++) {
// center of a face
switch (face) {
case 0:
oh = h / 4;
ow = w / 6;
break;
case 1:
oh = h / 4;
ow = w / 6 + w / 3;
break;
case 2:
oh = h / 4;
ow = w / 6 + 2 * w / 3;
break;
case 3:
oh = h / 4 + h / 2;
ow = w / 6;
break;
case 4:
oh = h / 4 + h / 2;
ow = w / 6 + w / 3;
break;
case 5:
oh = h / 4 + h / 2;
ow = w / 6 + 2 * w / 3;
break;
}
s->density.value[(oh - 1 - i) * w + ow - 1 - j] = d;
s->density.value[(oh - 1 - i) * w + ow + j] = d;
s->density.value[(oh + i) * w + ow - 1 - j] = d;
s->density.value[(oh + i) * w + ow + j] = d;
}
}
}
break;
case PROJECTION_CUBEMAP23:
// for one quater of a face
for (int i = 0; i < h / 6; i++) {
for (int j = 0; j < w / 4; j++) {
// r = normalized distance to the face center
r_square =
(0.5 + i) / (h / 3) * (0.5 + i) / (h / 3) +
(0.5 + j) / (w / 2) * (0.5 + j) / (w / 2);
r_square /= (1.f + s->ref_pad) * (1.f + s->ref_pad);
cos_square = 0.25 / (r_square + 0.25);
d = pow(cos_square, 1.5);
for (int face = 0; face < 6; face++) {
// center of a face
switch (face) {
case 0:
ow = w / 4;
oh = h / 6;
break;
case 1:
ow = w / 4;
oh = h / 6 + h / 3;
break;
case 2:
ow = w / 4;
oh = h / 6 + 2 * h / 3;
break;
case 3:
ow = w / 4 + w / 2;
oh = h / 6;
break;
case 4:
ow = w / 4 + w / 2;
oh = h / 6 + h / 3;
break;
case 5:
ow = w / 4 + w / 2;
oh = h / 6 + 2 * h / 3;
break;
}
s->density.value[(oh - 1 - i) * w + ow - 1 - j] = d;
s->density.value[(oh - 1 - i) * w + ow + j] = d;
s->density.value[(oh + i) * w + ow - 1 - j] = d;
s->density.value[(oh + i) * w + ow + j] = d;
}
}
}
break;
case PROJECTION_BARREL:
// side face
for (int i = 0; i < h; i++) {
for (int j = 0; j < w * 4 / 5; j++) {
d = cos(((0.5 + i) / h - 0.5) * DEFAULT_EXPANSION_COEF * M_PI_2);
s->density.value[i * w + j] = d * d * d;
}
}
// top and bottom
for (int i = 0; i < h; i++) {
for (int j = w * 4 / 5; j < w; j++) {
double dx = DEFAULT_EXPANSION_COEF * (0.5 + j - w * 0.90) / (w * 0.10);
double dx_squared = dx * dx;
double top_dy = DEFAULT_EXPANSION_COEF * (0.5 + i - h * 0.25) / (h * 0.25);
double top_dy_squared = top_dy * top_dy;
double bottom_dy = DEFAULT_EXPANSION_COEF * (0.5 + i - h * 0.75) / (h * 0.25);
double bottom_dy_squared = bottom_dy * bottom_dy;
// normalized distance to the circle center
r_square = (i < h / 2 ? top_dy_squared : bottom_dy_squared) + dx_squared;
if (r_square > 1.0)
continue;
cos_square = 1.0 / (r_square + 1.0);
d = pow(cos_square, 1.5);
s->density.value[i * w + j] = d;
}
}
break;
default:
// TODO: SSIM360_v1
for (int i = 0; i < h; i++) {
for (int j = 0; j < w; j++)
s->density.value[i * w + j] = 0;
}
}
switch (s->ref_stereo_format) {
case STEREO_FORMAT_TB:
for (int i = 0; i < h; i++) {
for (int j = 0; j < w; j++)
s->density.value[(i + h) * w + j] = s->density.value[i * w + j];
}
break;
case STEREO_FORMAT_LR:
for (int i = 0; i < h; i++) {
for (int j = 0; j < w; j++)
s->density.value[i * w + j + w] = s->density.value[i * w + j];
}
}
return 0;
}
static int config_input_ref(AVFilterLink *inlink)
{
const AVPixFmtDescriptor *desc = av_pix_fmt_desc_get(inlink->format);
AVFilterContext *ctx = inlink->dst;
SSIM360Context *s = ctx->priv;
int sum = 0;
s->nb_components = desc->nb_components;
s->ref_planeheight[0] = inlink->h;
s->ref_planeheight[3] = inlink->h;
s->ref_planeheight[1] = AV_CEIL_RSHIFT(inlink->h, desc->log2_chroma_h);
s->ref_planeheight[2] = AV_CEIL_RSHIFT(inlink->h, desc->log2_chroma_h);
s->ref_planewidth[0] = inlink->w;
s->ref_planewidth[3] = inlink->w;
s->ref_planewidth[1] = AV_CEIL_RSHIFT(inlink->w, desc->log2_chroma_w);
s->ref_planewidth[2] = AV_CEIL_RSHIFT(inlink->w, desc->log2_chroma_w);
s->is_rgb = ff_fill_rgba_map(s->rgba_map, inlink->format) >= 0;
s->comps[0] = s->is_rgb ? 'R' : 'Y';
s->comps[1] = s->is_rgb ? 'G' : 'U';
s->comps[2] = s->is_rgb ? 'B' : 'V';
s->comps[3] = 'A';
// If chroma computation is disabled, and the format is YUV, skip U & V channels
if (!s->is_rgb && !s->compute_chroma)
s->nb_components = 1;
s->max = (1 << desc->comp[0].depth) - 1;
s->ssim360_plane = desc->comp[0].depth > 8 ? ssim360_plane_16bit : ssim360_plane_8bit;
for (int i = 0; i < s->nb_components; i++)
sum += s->ref_planeheight[i] * s->ref_planewidth[i];
for (int i = 0; i < s->nb_components; i++)
s->coefs[i] = (double) s->ref_planeheight[i] * s->ref_planewidth[i] / sum;
return 0;
}
static int config_output(AVFilterLink *outlink)
{
AVFilterContext *ctx = outlink->src;
SSIM360Context *s = ctx->priv;
AVFilterLink *mainlink = ctx->inputs[0];
AVFilterLink *reflink = ctx->inputs[0];
const AVPixFmtDescriptor *desc = av_pix_fmt_desc_get(outlink->format);
int ret;
// Use tape algorithm if any of frame sizes, projections or stereo format are not equal
if (ctx->inputs[0]->w != ctx->inputs[1]->w || ctx->inputs[0]->h != ctx->inputs[1]->h ||
s->ref_projection != s->main_projection || s->ref_stereo_format != s->main_stereo_format)
s->use_tape = 1;
// Finally, if we have decided to / forced to use tape, check if tape supports both input and output projection
if (s->use_tape &&
!(tape_supports_projection(s->main_projection) &&
tape_supports_projection(s->ref_projection))) {
av_log(ctx, AV_LOG_ERROR, "Projection is unsupported for the tape based algorithm\n");
return AVERROR(EINVAL);
}
if (s->use_tape) {
// s->temp will be allocated for the tape width = 8. The tape is long downwards
s->temp = av_malloc_array((2 * 8 + 12), sizeof(*s->temp));
if (!s->temp)
return AVERROR(ENOMEM);
memset(s->ssim360_percentile_sum, 0, sizeof(s->ssim360_percentile_sum));
for (int i = 0; i < s->nb_components; i++) {
FF_ALLOCZ_TYPED_ARRAY(s->ssim360_hist[i], SSIM360_HIST_SIZE);
if (!s->ssim360_hist[i])
return AVERROR(ENOMEM);
}
} else {
s->temp = av_malloc_array((2 * reflink->w + 12), sizeof(*s->temp) * (1 + (desc->comp[0].depth > 8)));
if (!s->temp)
return AVERROR(ENOMEM);
if (!s->density.value) {
ret = generate_density_map(s, reflink->w, reflink->h);
if (ret < 0)
return ret;
}
}
ret = ff_framesync_init_dualinput(&s->fs, ctx);
if (ret < 0)
return ret;
outlink->w = mainlink->w;
outlink->h = mainlink->h;
outlink->time_base = mainlink->time_base;
outlink->sample_aspect_ratio = mainlink->sample_aspect_ratio;
outlink->frame_rate = mainlink->frame_rate;
s->fs.opt_shortest = 1;
s->fs.opt_repeatlast = 1;
ret = ff_framesync_configure(&s->fs);
if (ret < 0)
return ret;
return 0;
}
static int activate(AVFilterContext *ctx)
{
SSIM360Context *s = ctx->priv;
return ff_framesync_activate(&s->fs);
}
static av_cold void uninit(AVFilterContext *ctx)
{
SSIM360Context *s = ctx->priv;
if (s->nb_ssim_frames > 0) {
char buf[256];
buf[0] = 0;
// Log average SSIM360 values
for (int i = 0; i < s->nb_components; i++) {
int c = s->is_rgb ? s->rgba_map[i] : i;
av_strlcatf(buf, sizeof(buf), " %c:%f (%f)", s->comps[i], s->ssim360[c] / s->nb_ssim_frames,
ssim360_db(s->ssim360[c], s->nb_ssim_frames));
}
av_log(ctx, AV_LOG_INFO, "SSIM360%s All:%f (%f)\n", buf,
s->ssim360_total / s->nb_ssim_frames, ssim360_db(s->ssim360_total, s->nb_ssim_frames));
// Log percentiles from histogram when using tape
if (s->use_tape) {
for (int p = 0; PERCENTILE_LIST[p] >= 0.0; p++) {
buf[0] = 0;
for (int i = 0; i < s->nb_components; i++) {
int c = s->is_rgb ? s->rgba_map[i] : i;
double ssim360p = s->ssim360_percentile_sum[i][p] / (double)(s->nb_ssim_frames);
av_strlcatf(buf, sizeof(buf), " %c:%f (%f)", s->comps[c], ssim360p, ssim360_db(ssim360p, 1));
}
av_log(ctx, AV_LOG_INFO, "SSIM360_p%d%s\n", (int)(PERCENTILE_LIST[p] * 100.), buf);
}
}
}
// free density map
map_uninit(&s->density);
map_list_free(&s->heatmaps);
for (int i = 0; i < s->nb_components; i++) {
for (int eye = 0; eye < 2; eye++) {
av_freep(&s->ref_tape_map[i][eye]);
av_freep(&s->main_tape_map[i][eye]);
}
av_freep(&s->ssim360_hist[i]);
}
ff_framesync_uninit(&s->fs);
if (s->stats_file && s->stats_file != stdout)
fclose(s->stats_file);
av_freep(&s->temp);
}
#define PF(suf) AV_PIX_FMT_YUV420##suf, AV_PIX_FMT_YUV422##suf, AV_PIX_FMT_YUV444##suf, AV_PIX_FMT_GBR##suf
static const enum AVPixelFormat ssim360_pixfmts[] = {
AV_PIX_FMT_GRAY8,
AV_PIX_FMT_YUV420P, AV_PIX_FMT_YUV422P, AV_PIX_FMT_YUV444P,
AV_PIX_FMT_YUV440P, AV_PIX_FMT_YUV411P, AV_PIX_FMT_YUV410P,
AV_PIX_FMT_YUVJ411P, AV_PIX_FMT_YUVJ420P, AV_PIX_FMT_YUVJ422P,
AV_PIX_FMT_YUVJ440P, AV_PIX_FMT_YUVJ444P,
AV_PIX_FMT_GBRP,
PF(P9), PF(P10), PF(P12), PF(P14), PF(P16),
AV_PIX_FMT_NONE
};
#undef PF
static const AVFilterPad ssim360_inputs[] = {
{
.name = "main",
.type = AVMEDIA_TYPE_VIDEO,
.config_props = config_input_main,
},
{
.name = "reference",
.type = AVMEDIA_TYPE_VIDEO,
.config_props = config_input_ref,
},
};
static const AVFilterPad ssim360_outputs[] = {
{
.name = "default",
.type = AVMEDIA_TYPE_VIDEO,
.config_props = config_output,
},
};
const AVFilter ff_vf_ssim360 = {
.name = "ssim360",
.description = NULL_IF_CONFIG_SMALL("Calculate the SSIM between two 360 video streams."),
.preinit = ssim360_framesync_preinit,
.init = init,
.uninit = uninit,
.activate = activate,
.priv_size = sizeof(SSIM360Context),
.priv_class = &ssim360_class,
FILTER_INPUTS(ssim360_inputs),
FILTER_OUTPUTS(ssim360_outputs),
FILTER_PIXFMTS_ARRAY(ssim360_pixfmts),
};
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