pickrst.c 30.5 KB
Newer Older
1 2 3 4 5 6 7 8 9 10 11
/*
 *  Copyright (c) 2010 The WebM project authors. All Rights Reserved.
 *
 *  Use of this source code is governed by a BSD-style license
 *  that can be found in the LICENSE 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.
 */

#include <assert.h>
12
#include <float.h>
13 14 15
#include <limits.h>
#include <math.h>

Yaowu Xu's avatar
Yaowu Xu committed
16
#include "./aom_scale_rtcd.h"
17

18
#include "aom_dsp/psnr.h"
Yaowu Xu's avatar
Yaowu Xu committed
19 20
#include "aom_dsp/aom_dsp_common.h"
#include "aom_mem/aom_mem.h"
21
#include "aom_ports/mem.h"
22

23 24
#include "av1/common/onyxc_int.h"
#include "av1/common/quant_common.h"
25

26 27 28 29
#include "av1/encoder/encoder.h"
#include "av1/encoder/picklpf.h"
#include "av1/encoder/pickrst.h"
#include "av1/encoder/quantize.h"
30

31 32 33 34 35
typedef double (*search_restore_type)(const YV12_BUFFER_CONFIG *src,
                                      AV1_COMP *cpi, int filter_level,
                                      int partial_frame, RestorationInfo *info,
                                      double *best_tile_cost);

36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82
const int frame_level_restore_bits[RESTORE_TYPES] = { 2, 2, 2, 2 };

static int64_t sse_restoration_tile(const YV12_BUFFER_CONFIG *src,
                                    AV1_COMMON *const cm, int h_start,
                                    int width, int v_start, int height) {
  int64_t filt_err;
#if CONFIG_AOM_HIGHBITDEPTH
  if (cm->use_highbitdepth) {
    filt_err = aom_highbd_get_y_sse_part(src, cm->frame_to_show, h_start, width,
                                         v_start, height);
  } else {
    filt_err = aom_get_y_sse_part(src, cm->frame_to_show, h_start, width,
                                  v_start, height);
  }
#else
  filt_err = aom_get_y_sse_part(src, cm->frame_to_show, h_start, width, v_start,
                                height);
#endif  // CONFIG_AOM_HIGHBITDEPTH
  return filt_err;
}

static int64_t try_restoration_tile(const YV12_BUFFER_CONFIG *src,
                                    AV1_COMP *const cpi, RestorationInfo *rsi,
                                    int partial_frame, int tile_idx,
                                    int subtile_idx, int subtile_bits) {
  AV1_COMMON *const cm = &cpi->common;
  int64_t filt_err;
  int tile_width, tile_height, nhtiles, nvtiles;
  int h_start, h_end, v_start, v_end;
  const int ntiles = av1_get_rest_ntiles(cm->width, cm->height, &tile_width,
                                         &tile_height, &nhtiles, &nvtiles);
  (void)ntiles;

  av1_loop_restoration_frame(cm->frame_to_show, cm, rsi, 1, partial_frame);
  av1_get_rest_tile_limits(tile_idx, subtile_idx, subtile_bits, nhtiles,
                           nvtiles, tile_width, tile_height, cm->width,
                           cm->height, 0, 0, &h_start, &h_end, &v_start,
                           &v_end);
  filt_err = sse_restoration_tile(src, cm, h_start, h_end - h_start, v_start,
                                  v_end - v_start);

  // Re-instate the unfiltered frame
  aom_yv12_copy_y(&cpi->last_frame_db, cm->frame_to_show);
  return filt_err;
}

static int64_t try_restoration_frame(const YV12_BUFFER_CONFIG *src,
Yaowu Xu's avatar
Yaowu Xu committed
83
                                     AV1_COMP *const cpi, RestorationInfo *rsi,
84
                                     int partial_frame) {
Yaowu Xu's avatar
Yaowu Xu committed
85
  AV1_COMMON *const cm = &cpi->common;
86
  int64_t filt_err;
Yaowu Xu's avatar
Yaowu Xu committed
87 88
  av1_loop_restoration_frame(cm->frame_to_show, cm, rsi, 1, partial_frame);
#if CONFIG_AOM_HIGHBITDEPTH
89
  if (cm->use_highbitdepth) {
90
    filt_err = aom_highbd_get_y_sse(src, cm->frame_to_show);
91
  } else {
92
    filt_err = aom_get_y_sse(src, cm->frame_to_show);
93 94
  }
#else
95
  filt_err = aom_get_y_sse(src, cm->frame_to_show);
Yaowu Xu's avatar
Yaowu Xu committed
96
#endif  // CONFIG_AOM_HIGHBITDEPTH
97 98

  // Re-instate the unfiltered frame
Yaowu Xu's avatar
Yaowu Xu committed
99
  aom_yv12_copy_y(&cpi->last_frame_db, cm->frame_to_show);
100 101 102
  return filt_err;
}

103 104 105 106
static double search_bilateral(const YV12_BUFFER_CONFIG *src, AV1_COMP *cpi,
                               int filter_level, int partial_frame,
                               RestorationInfo *info, double *best_tile_cost) {
  BilateralInfo *bilateral_info = info->bilateral_info;
Yaowu Xu's avatar
Yaowu Xu committed
107
  AV1_COMMON *const cm = &cpi->common;
108
  int i, tile_idx, subtile_idx;
109
  int64_t err;
110
  int bits;
111
  double cost, best_cost, cost_bilateral, cost_norestore_subtile;
Yaowu Xu's avatar
Yaowu Xu committed
112
  const int bilateral_level_bits = av1_bilateral_level_bits(&cpi->common);
113 114
  const int bilateral_levels = 1 << bilateral_level_bits;
  MACROBLOCK *x = &cpi->td.mb;
115
  RestorationInfo rsi;
116 117 118 119
  int tile_width, tile_height, nhtiles, nvtiles;
  int h_start, h_end, v_start, v_end;
  const int ntiles = av1_get_rest_ntiles(cm->width, cm->height, &tile_width,
                                         &tile_height, &nhtiles, &nvtiles);
120 121

  //  Make a copy of the unfiltered / processed recon buffer
Yaowu Xu's avatar
Yaowu Xu committed
122 123 124 125
  aom_yv12_copy_y(cm->frame_to_show, &cpi->last_frame_uf);
  av1_loop_filter_frame(cm->frame_to_show, cm, &cpi->td.mb.e_mbd, filter_level,
                        1, partial_frame);
  aom_yv12_copy_y(cm->frame_to_show, &cpi->last_frame_db);
126

127
  rsi.frame_restoration_type = RESTORE_BILATERAL;
128 129 130
  rsi.bilateral_info =
      (BilateralInfo *)aom_malloc(sizeof(*rsi.bilateral_info) * ntiles);
  assert(rsi.bilateral_info != NULL);
131

132 133 134 135
  for (tile_idx = 0; tile_idx < ntiles; ++tile_idx)
    for (subtile_idx = 0; subtile_idx < BILATERAL_SUBTILES; ++subtile_idx)
      bilateral_info[tile_idx].level[subtile_idx] =
          rsi.bilateral_info[tile_idx].level[subtile_idx] = -1;
136 137 138

  // Find best filter for each tile
  for (tile_idx = 0; tile_idx < ntiles; ++tile_idx) {
139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156
    for (subtile_idx = 0; subtile_idx < BILATERAL_SUBTILES; ++subtile_idx) {
      av1_get_rest_tile_limits(tile_idx, subtile_idx, BILATERAL_SUBTILE_BITS,
                               nhtiles, nvtiles, tile_width, tile_height,
                               cm->width, cm->height, 0, 0, &h_start, &h_end,
                               &v_start, &v_end);
      err = sse_restoration_tile(src, cm, h_start, h_end - h_start, v_start,
                                 v_end - v_start);
#if BILATERAL_SUBTILES
      // #bits when a subtile is not restored
      bits = av1_cost_bit(RESTORE_NONE_BILATERAL_PROB, 0);
#else
      bits = 0;
#endif
      cost_norestore_subtile =
          RDCOST_DBL(x->rdmult, x->rddiv, (bits >> 4), err);
      best_cost = cost_norestore_subtile;

      for (i = 0; i < bilateral_levels; ++i) {
157
        rsi.bilateral_info[tile_idx].level[subtile_idx] = i;
158 159 160 161 162 163
        err = try_restoration_tile(src, cpi, &rsi, partial_frame, tile_idx,
                                   subtile_idx, BILATERAL_SUBTILE_BITS);
        bits = bilateral_level_bits << AV1_PROB_COST_SHIFT;
        bits += av1_cost_bit(RESTORE_NONE_BILATERAL_PROB, 1);
        cost = RDCOST_DBL(x->rdmult, x->rddiv, (bits >> 4), err);
        if (cost < best_cost) {
164
          bilateral_info[tile_idx].level[subtile_idx] = i;
165 166
          best_cost = cost;
        }
167
        rsi.bilateral_info[tile_idx].level[subtile_idx] = -1;
168 169
      }
    }
170 171 172 173 174 175
    bits = 0;
    for (subtile_idx = 0; subtile_idx < BILATERAL_SUBTILES; ++subtile_idx) {
      rsi.bilateral_info[tile_idx].level[subtile_idx] =
          bilateral_info[tile_idx].level[subtile_idx];
      if (rsi.bilateral_info[tile_idx].level[subtile_idx] >= 0)
        bits += bilateral_level_bits << AV1_PROB_COST_SHIFT;
176
#if BILATERAL_SUBTILES
177 178 179
      bits +=
          av1_cost_bit(RESTORE_NONE_BILATERAL_PROB,
                       rsi.bilateral_info[tile_idx].level[subtile_idx] >= 0);
180
#endif
181
    }
182 183 184 185
    err = try_restoration_tile(src, cpi, &rsi, partial_frame, tile_idx, 0, 0);
    best_tile_cost[tile_idx] = RDCOST_DBL(
        x->rdmult, x->rddiv,
        (bits + cpi->switchable_restore_cost[RESTORE_BILATERAL]) >> 4, err);
186
  }
187
  // Find cost for combined configuration
188 189
  bits = frame_level_restore_bits[rsi.frame_restoration_type]
         << AV1_PROB_COST_SHIFT;
190 191 192 193 194 195 196
  for (tile_idx = 0; tile_idx < ntiles; ++tile_idx) {
    for (subtile_idx = 0; subtile_idx < BILATERAL_SUBTILES; ++subtile_idx) {
      rsi.bilateral_info[tile_idx].level[subtile_idx] =
          bilateral_info[tile_idx].level[subtile_idx];
      if (rsi.bilateral_info[tile_idx].level[subtile_idx] >= 0) {
        bits += bilateral_level_bits << AV1_PROB_COST_SHIFT;
      }
197
#if BILATERAL_SUBTILES
198 199 200
      bits +=
          av1_cost_bit(RESTORE_NONE_BILATERAL_PROB,
                       rsi.bilateral_info[tile_idx].level[subtile_idx] >= 0);
201
#endif
202
    }
203
  }
204 205
  err = try_restoration_frame(src, cpi, &rsi, partial_frame);
  cost_bilateral = RDCOST_DBL(x->rdmult, x->rddiv, (bits >> 4), err);
206

207
  aom_free(rsi.bilateral_info);
208

Yaowu Xu's avatar
Yaowu Xu committed
209
  aom_yv12_copy_y(&cpi->last_frame_uf, cm->frame_to_show);
210
  return cost_bilateral;
211 212
}

213 214
static double find_average(uint8_t *src, int h_start, int h_end, int v_start,
                           int v_end, int stride) {
215 216 217
  uint64_t sum = 0;
  double avg = 0;
  int i, j;
218 219 220
  for (i = v_start; i < v_end; i++)
    for (j = h_start; j < h_end; j++) sum += src[i * stride + j];
  avg = (double)sum / ((v_end - v_start) * (h_end - h_start));
221 222 223
  return avg;
}

224 225 226
static void compute_stats(uint8_t *dgd, uint8_t *src, int h_start, int h_end,
                          int v_start, int v_end, int dgd_stride,
                          int src_stride, double *M, double *H) {
227 228
  int i, j, k, l;
  double Y[RESTORATION_WIN2];
229 230
  const double avg =
      find_average(dgd, h_start, h_end, v_start, v_end, dgd_stride);
231 232 233

  memset(M, 0, sizeof(*M) * RESTORATION_WIN2);
  memset(H, 0, sizeof(*H) * RESTORATION_WIN2 * RESTORATION_WIN2);
234 235
  for (i = v_start; i < v_end; i++) {
    for (j = h_start; j < h_end; j++) {
236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256
      const double X = (double)src[i * src_stride + j] - avg;
      int idx = 0;
      for (k = -RESTORATION_HALFWIN; k <= RESTORATION_HALFWIN; k++) {
        for (l = -RESTORATION_HALFWIN; l <= RESTORATION_HALFWIN; l++) {
          Y[idx] = (double)dgd[(i + l) * dgd_stride + (j + k)] - avg;
          idx++;
        }
      }
      for (k = 0; k < RESTORATION_WIN2; ++k) {
        M[k] += Y[k] * X;
        H[k * RESTORATION_WIN2 + k] += Y[k] * Y[k];
        for (l = k + 1; l < RESTORATION_WIN2; ++l) {
          double value = Y[k] * Y[l];
          H[k * RESTORATION_WIN2 + l] += value;
          H[l * RESTORATION_WIN2 + k] += value;
        }
      }
    }
  }
}

Yaowu Xu's avatar
Yaowu Xu committed
257
#if CONFIG_AOM_HIGHBITDEPTH
258 259
static double find_average_highbd(uint16_t *src, int h_start, int h_end,
                                  int v_start, int v_end, int stride) {
260 261 262
  uint64_t sum = 0;
  double avg = 0;
  int i, j;
263 264 265
  for (i = v_start; i < v_end; i++)
    for (j = h_start; j < h_end; j++) sum += src[i * stride + j];
  avg = (double)sum / ((v_end - v_start) * (h_end - h_start));
266 267 268
  return avg;
}

269 270 271 272
static void compute_stats_highbd(uint8_t *dgd8, uint8_t *src8, int h_start,
                                 int h_end, int v_start, int v_end,
                                 int dgd_stride, int src_stride, double *M,
                                 double *H) {
273 274 275 276
  int i, j, k, l;
  double Y[RESTORATION_WIN2];
  uint16_t *src = CONVERT_TO_SHORTPTR(src8);
  uint16_t *dgd = CONVERT_TO_SHORTPTR(dgd8);
277 278
  const double avg =
      find_average_highbd(dgd, h_start, h_end, v_start, v_end, dgd_stride);
279 280 281

  memset(M, 0, sizeof(*M) * RESTORATION_WIN2);
  memset(H, 0, sizeof(*H) * RESTORATION_WIN2 * RESTORATION_WIN2);
282 283
  for (i = v_start; i < v_end; i++) {
    for (j = h_start; j < h_end; j++) {
284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303
      const double X = (double)src[i * src_stride + j] - avg;
      int idx = 0;
      for (k = -RESTORATION_HALFWIN; k <= RESTORATION_HALFWIN; k++) {
        for (l = -RESTORATION_HALFWIN; l <= RESTORATION_HALFWIN; l++) {
          Y[idx] = (double)dgd[(i + l) * dgd_stride + (j + k)] - avg;
          idx++;
        }
      }
      for (k = 0; k < RESTORATION_WIN2; ++k) {
        M[k] += Y[k] * X;
        H[k * RESTORATION_WIN2 + k] += Y[k] * Y[k];
        for (l = k + 1; l < RESTORATION_WIN2; ++l) {
          double value = Y[k] * Y[l];
          H[k * RESTORATION_WIN2 + l] += value;
          H[l * RESTORATION_WIN2 + k] += value;
        }
      }
    }
  }
}
Yaowu Xu's avatar
Yaowu Xu committed
304
#endif  // CONFIG_AOM_HIGHBITDEPTH
305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326

// Solves Ax = b, where x and b are column vectors
static int linsolve(int n, double *A, int stride, double *b, double *x) {
  int i, j, k;
  double c;
  // Partial pivoting
  for (i = n - 1; i > 0; i--) {
    if (A[(i - 1) * stride] < A[i * stride]) {
      for (j = 0; j < n; j++) {
        c = A[i * stride + j];
        A[i * stride + j] = A[(i - 1) * stride + j];
        A[(i - 1) * stride + j] = c;
      }
      c = b[i];
      b[i] = b[i - 1];
      b[i - 1] = c;
    }
  }
  // Forward elimination
  for (k = 0; k < n - 1; k++) {
    for (i = k; i < n - 1; i++) {
      c = A[(i + 1) * stride + k] / A[k * stride + k];
327
      for (j = 0; j < n; j++) A[(i + 1) * stride + j] -= c * A[k * stride + j];
328 329 330 331 332
      b[i + 1] -= c * b[k];
    }
  }
  // Backward substitution
  for (i = n - 1; i >= 0; i--) {
333
    if (fabs(A[i * stride + i]) < 1e-10) return 0;
334
    c = 0;
335
    for (j = i + 1; j <= n - 1; j++) c += A[i * stride + j] * x[j];
336 337 338 339 340 341 342 343 344 345 346 347 348 349
    x[i] = (b[i] - c) / A[i * stride + i];
  }
  return 1;
}

static INLINE int wrap_index(int i) {
  return (i >= RESTORATION_HALFWIN1 ? RESTORATION_WIN - 1 - i : i);
}

// Fix vector b, update vector a
static void update_a_sep_sym(double **Mc, double **Hc, double *a, double *b) {
  int i, j;
  double S[RESTORATION_WIN];
  double A[RESTORATION_WIN], B[RESTORATION_WIN2];
Aamir Anis's avatar
Aamir Anis committed
350
  int w, w2;
351 352
  memset(A, 0, sizeof(A));
  memset(B, 0, sizeof(B));
353
  for (i = 0; i < RESTORATION_WIN; i++) {
354 355 356 357 358
    for (j = 0; j < RESTORATION_WIN; ++j) {
      const int jj = wrap_index(j);
      A[jj] += Mc[i][j] * b[i];
    }
  }
359 360
  for (i = 0; i < RESTORATION_WIN; i++) {
    for (j = 0; j < RESTORATION_WIN; j++) {
361 362 363 364 365 366
      int k, l;
      for (k = 0; k < RESTORATION_WIN; ++k)
        for (l = 0; l < RESTORATION_WIN; ++l) {
          const int kk = wrap_index(k);
          const int ll = wrap_index(l);
          B[ll * RESTORATION_HALFWIN1 + kk] +=
367 368
              Hc[j * RESTORATION_WIN + i][k * RESTORATION_WIN2 + l] * b[i] *
              b[j];
369 370 371
        }
    }
  }
Aamir Anis's avatar
Aamir Anis committed
372 373 374 375
  // Normalization enforcement in the system of equations itself
  w = RESTORATION_WIN;
  w2 = (w >> 1) + 1;
  for (i = 0; i < w2 - 1; ++i)
376 377
    A[i] -=
        A[w2 - 1] * 2 + B[i * w2 + w2 - 1] - 2 * B[(w2 - 1) * w2 + (w2 - 1)];
Aamir Anis's avatar
Aamir Anis committed
378 379 380 381 382 383 384 385 386
  for (i = 0; i < w2 - 1; ++i)
    for (j = 0; j < w2 - 1; ++j)
      B[i * w2 + j] -= 2 * (B[i * w2 + (w2 - 1)] + B[(w2 - 1) * w2 + j] -
                            2 * B[(w2 - 1) * w2 + (w2 - 1)]);
  if (linsolve(w2 - 1, B, w2, A, S)) {
    S[w2 - 1] = 1.0;
    for (i = w2; i < w; ++i) {
      S[i] = S[w - 1 - i];
      S[w2 - 1] -= 2 * S[i];
387
    }
Aamir Anis's avatar
Aamir Anis committed
388
    memcpy(a, S, w * sizeof(*a));
389 390 391 392 393 394 395 396
  }
}

// Fix vector a, update vector b
static void update_b_sep_sym(double **Mc, double **Hc, double *a, double *b) {
  int i, j;
  double S[RESTORATION_WIN];
  double A[RESTORATION_WIN], B[RESTORATION_WIN2];
Aamir Anis's avatar
Aamir Anis committed
397
  int w, w2;
398 399
  memset(A, 0, sizeof(A));
  memset(B, 0, sizeof(B));
400
  for (i = 0; i < RESTORATION_WIN; i++) {
401
    const int ii = wrap_index(i);
402
    for (j = 0; j < RESTORATION_WIN; j++) A[ii] += Mc[i][j] * a[j];
403 404 405 406 407 408 409 410 411 412
  }

  for (i = 0; i < RESTORATION_WIN; i++) {
    for (j = 0; j < RESTORATION_WIN; j++) {
      const int ii = wrap_index(i);
      const int jj = wrap_index(j);
      int k, l;
      for (k = 0; k < RESTORATION_WIN; ++k)
        for (l = 0; l < RESTORATION_WIN; ++l)
          B[jj * RESTORATION_HALFWIN1 + ii] +=
413 414
              Hc[i * RESTORATION_WIN + j][k * RESTORATION_WIN2 + l] * a[k] *
              a[l];
415 416
    }
  }
Aamir Anis's avatar
Aamir Anis committed
417 418 419 420
  // Normalization enforcement in the system of equations itself
  w = RESTORATION_WIN;
  w2 = RESTORATION_HALFWIN1;
  for (i = 0; i < w2 - 1; ++i)
421 422
    A[i] -=
        A[w2 - 1] * 2 + B[i * w2 + w2 - 1] - 2 * B[(w2 - 1) * w2 + (w2 - 1)];
Aamir Anis's avatar
Aamir Anis committed
423 424 425 426 427 428 429 430 431
  for (i = 0; i < w2 - 1; ++i)
    for (j = 0; j < w2 - 1; ++j)
      B[i * w2 + j] -= 2 * (B[i * w2 + (w2 - 1)] + B[(w2 - 1) * w2 + j] -
                            2 * B[(w2 - 1) * w2 + (w2 - 1)]);
  if (linsolve(w2 - 1, B, w2, A, S)) {
    S[w2 - 1] = 1.0;
    for (i = w2; i < w; ++i) {
      S[i] = S[w - 1 - i];
      S[w2 - 1] -= 2 * S[i];
432
    }
Aamir Anis's avatar
Aamir Anis committed
433
    memcpy(b, S, w * sizeof(*b));
434 435 436
  }
}

437 438
static int wiener_decompose_sep_sym(double *M, double *H, double *a,
                                    double *b) {
439
  static const double init_filt[RESTORATION_WIN] = {
440
    0.035623, -0.127154, 0.211436, 0.760190, 0.211436, -0.127154, 0.035623,
441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460
  };
  int i, j, iter;
  double *Hc[RESTORATION_WIN2];
  double *Mc[RESTORATION_WIN];
  for (i = 0; i < RESTORATION_WIN; i++) {
    Mc[i] = M + i * RESTORATION_WIN;
    for (j = 0; j < RESTORATION_WIN; j++) {
      Hc[i * RESTORATION_WIN + j] =
          H + i * RESTORATION_WIN * RESTORATION_WIN2 + j * RESTORATION_WIN;
    }
  }
  memcpy(a, init_filt, sizeof(*a) * RESTORATION_WIN);
  memcpy(b, init_filt, sizeof(*b) * RESTORATION_WIN);

  iter = 1;
  while (iter < 10) {
    update_a_sep_sym(Mc, Hc, a, b);
    update_b_sep_sym(Mc, Hc, a, b);
    iter++;
  }
461
  return 1;
462 463
}

Aamir Anis's avatar
Aamir Anis committed
464 465 466
// Computes the function x'*A*x - x'*b for the learned filters, and compares
// against identity filters; Final score is defined as the difference between
// the function values
467
static double compute_score(double *M, double *H, int *vfilt, int *hfilt) {
Aamir Anis's avatar
Aamir Anis committed
468 469 470 471 472 473 474 475 476 477
  double ab[RESTORATION_WIN * RESTORATION_WIN];
  int i, k, l;
  double P = 0, Q = 0;
  double iP = 0, iQ = 0;
  double Score, iScore;
  int w;
  double a[RESTORATION_WIN], b[RESTORATION_WIN];
  w = RESTORATION_WIN;
  a[RESTORATION_HALFWIN] = b[RESTORATION_HALFWIN] = 1.0;
  for (i = 0; i < RESTORATION_HALFWIN; ++i) {
478 479 480 481
    a[i] = a[RESTORATION_WIN - i - 1] =
        (double)vfilt[i] / RESTORATION_FILT_STEP;
    b[i] = b[RESTORATION_WIN - i - 1] =
        (double)hfilt[i] / RESTORATION_FILT_STEP;
Aamir Anis's avatar
Aamir Anis committed
482 483 484 485
    a[RESTORATION_HALFWIN] -= 2 * a[i];
    b[RESTORATION_HALFWIN] -= 2 * b[i];
  }
  for (k = 0; k < w; ++k) {
486
    for (l = 0; l < w; ++l) ab[k * w + l] = a[l] * b[k];
Aamir Anis's avatar
Aamir Anis committed
487 488 489
  }
  for (k = 0; k < w * w; ++k) {
    P += ab[k] * M[k];
490
    for (l = 0; l < w * w; ++l) Q += ab[k] * H[k * w * w + l] * ab[l];
Aamir Anis's avatar
Aamir Anis committed
491 492 493 494 495 496 497 498 499 500
  }
  Score = Q - 2 * P;

  iP = M[(w * w) >> 1];
  iQ = H[((w * w) >> 1) * w * w + ((w * w) >> 1)];
  iScore = iQ - 2 * iP;

  return Score - iScore;
}

501
#define CLIP(x, lo, hi) ((x) < (lo) ? (lo) : (x) > (hi) ? (hi) : (x))
502
#define RINT(x) ((x) < 0 ? (int)((x)-0.5) : (int)((x) + 0.5))
503 504 505 506 507 508 509 510 511 512 513 514

static void quantize_sym_filter(double *f, int *fi) {
  int i;
  for (i = 0; i < RESTORATION_HALFWIN; ++i) {
    fi[i] = RINT(f[i] * RESTORATION_FILT_STEP);
  }
  // Specialize for 7-tap filter
  fi[0] = CLIP(fi[0], WIENER_FILT_TAP0_MINV, WIENER_FILT_TAP0_MAXV);
  fi[1] = CLIP(fi[1], WIENER_FILT_TAP1_MINV, WIENER_FILT_TAP1_MAXV);
  fi[2] = CLIP(fi[2], WIENER_FILT_TAP2_MINV, WIENER_FILT_TAP2_MAXV);
}

515 516 517 518
static double search_wiener(const YV12_BUFFER_CONFIG *src, AV1_COMP *cpi,
                            int filter_level, int partial_frame,
                            RestorationInfo *info, double *best_tile_cost) {
  WienerInfo *wiener_info = info->wiener_info;
Yaowu Xu's avatar
Yaowu Xu committed
519
  AV1_COMMON *const cm = &cpi->common;
520
  RestorationInfo rsi;
521 522
  int64_t err;
  int bits;
523
  double cost_wiener, cost_norestore_tile;
524 525 526 527 528 529 530 531 532
  MACROBLOCK *x = &cpi->td.mb;
  double M[RESTORATION_WIN2];
  double H[RESTORATION_WIN2 * RESTORATION_WIN2];
  double vfilterd[RESTORATION_WIN], hfilterd[RESTORATION_WIN];
  const YV12_BUFFER_CONFIG *dgd = cm->frame_to_show;
  const int width = cm->width;
  const int height = cm->height;
  const int src_stride = src->y_stride;
  const int dgd_stride = dgd->y_stride;
Aamir Anis's avatar
Aamir Anis committed
533
  double score;
534
  int tile_idx, tile_width, tile_height, nhtiles, nvtiles;
535 536 537
  int h_start, h_end, v_start, v_end;
  int i, j;

538 539
  const int ntiles = av1_get_rest_ntiles(width, height, &tile_width,
                                         &tile_height, &nhtiles, &nvtiles);
540 541 542 543 544 545
  assert(width == dgd->y_crop_width);
  assert(height == dgd->y_crop_height);
  assert(width == src->y_crop_width);
  assert(height == src->y_crop_height);

  //  Make a copy of the unfiltered / processed recon buffer
Yaowu Xu's avatar
Yaowu Xu committed
546 547 548 549
  aom_yv12_copy_y(cm->frame_to_show, &cpi->last_frame_uf);
  av1_loop_filter_frame(cm->frame_to_show, cm, &cpi->td.mb.e_mbd, filter_level,
                        1, partial_frame);
  aom_yv12_copy_y(cm->frame_to_show, &cpi->last_frame_db);
550

551
  rsi.frame_restoration_type = RESTORE_WIENER;
552 553 554 555
  rsi.wiener_info = (WienerInfo *)aom_malloc(sizeof(*rsi.wiener_info) * ntiles);
  assert(rsi.wiener_info != NULL);

  for (j = 0; j < ntiles; ++j) rsi.wiener_info[j].level = 0;
556 557 558

  // Compute best Wiener filters for each tile
  for (tile_idx = 0; tile_idx < ntiles; ++tile_idx) {
559 560 561 562 563 564 565 566
    av1_get_rest_tile_limits(tile_idx, 0, 0, nhtiles, nvtiles, tile_width,
                             tile_height, width, height, 0, 0, &h_start, &h_end,
                             &v_start, &v_end);
    err = sse_restoration_tile(src, cm, h_start, h_end - h_start, v_start,
                               v_end - v_start);
    // #bits when a tile is not restored
    bits = av1_cost_bit(RESTORE_NONE_WIENER_PROB, 0);
    cost_norestore_tile = RDCOST_DBL(x->rdmult, x->rddiv, (bits >> 4), err);
567
    best_tile_cost[tile_idx] = DBL_MAX;
568 569 570 571

    av1_get_rest_tile_limits(tile_idx, 0, 0, nhtiles, nvtiles, tile_width,
                             tile_height, width, height, 1, 1, &h_start, &h_end,
                             &v_start, &v_end);
Yaowu Xu's avatar
Yaowu Xu committed
572
#if CONFIG_AOM_HIGHBITDEPTH
573 574 575 576
    if (cm->use_highbitdepth)
      compute_stats_highbd(dgd->y_buffer, src->y_buffer, h_start, h_end,
                           v_start, v_end, dgd_stride, src_stride, M, H);
    else
Yaowu Xu's avatar
Yaowu Xu committed
577
#endif  // CONFIG_AOM_HIGHBITDEPTH
578 579 580
      compute_stats(dgd->y_buffer, src->y_buffer, h_start, h_end, v_start,
                    v_end, dgd_stride, src_stride, M, H);

581
    wiener_info[tile_idx].level = 1;
582
    if (!wiener_decompose_sep_sym(M, H, vfilterd, hfilterd)) {
583
      wiener_info[tile_idx].level = 0;
584 585
      continue;
    }
586 587
    quantize_sym_filter(vfilterd, rsi.wiener_info[tile_idx].vfilter);
    quantize_sym_filter(hfilterd, rsi.wiener_info[tile_idx].hfilter);
588 589 590 591

    // Filter score computes the value of the function x'*A*x - x'*b for the
    // learned filter and compares it against identity filer. If there is no
    // reduction in the function, the filter is reverted back to identity
592 593
    score = compute_score(M, H, rsi.wiener_info[tile_idx].vfilter,
                          rsi.wiener_info[tile_idx].hfilter);
594
    if (score > 0.0) {
595
      wiener_info[tile_idx].level = 0;
596 597
      continue;
    }
598

599
    rsi.wiener_info[tile_idx].level = 1;
600 601 602 603
    err = try_restoration_tile(src, cpi, &rsi, partial_frame, tile_idx, 0, 0);
    bits = WIENER_FILT_BITS << AV1_PROB_COST_SHIFT;
    bits += av1_cost_bit(RESTORE_NONE_WIENER_PROB, 1);
    cost_wiener = RDCOST_DBL(x->rdmult, x->rddiv, (bits >> 4), err);
604 605 606 607 608 609 610 611
    if (cost_wiener >= cost_norestore_tile) {
      wiener_info[tile_idx].level = 0;
    } else {
      wiener_info[tile_idx].level = 1;
      for (i = 0; i < RESTORATION_HALFWIN; ++i) {
        wiener_info[tile_idx].vfilter[i] = rsi.wiener_info[tile_idx].vfilter[i];
        wiener_info[tile_idx].hfilter[i] = rsi.wiener_info[tile_idx].hfilter[i];
      }
612 613 614 615 616
      bits = WIENER_FILT_BITS << AV1_PROB_COST_SHIFT;
      best_tile_cost[tile_idx] = RDCOST_DBL(
          x->rdmult, x->rddiv,
          (bits + cpi->switchable_restore_cost[RESTORE_WIENER]) >> 4, err);
    }
617
    rsi.wiener_info[tile_idx].level = 0;
618
  }
619
  // Cost for Wiener filtering
620 621
  bits = frame_level_restore_bits[rsi.frame_restoration_type]
         << AV1_PROB_COST_SHIFT;
622
  for (tile_idx = 0; tile_idx < ntiles; ++tile_idx) {
623 624 625
    bits += av1_cost_bit(RESTORE_NONE_WIENER_PROB, wiener_info[tile_idx].level);
    rsi.wiener_info[tile_idx].level = wiener_info[tile_idx].level;
    if (wiener_info[tile_idx].level) {
626
      bits += (WIENER_FILT_BITS << AV1_PROB_COST_SHIFT);
627 628 629 630 631
      for (i = 0; i < RESTORATION_HALFWIN; ++i) {
        rsi.wiener_info[tile_idx].vfilter[i] = wiener_info[tile_idx].vfilter[i];
        rsi.wiener_info[tile_idx].hfilter[i] = wiener_info[tile_idx].hfilter[i];
      }
    }
Aamir Anis's avatar
Aamir Anis committed
632
  }
633
  err = try_restoration_frame(src, cpi, &rsi, partial_frame);
634
  cost_wiener = RDCOST_DBL(x->rdmult, x->rddiv, (bits >> 4), err);
635
  aom_free(rsi.wiener_info);
636

Yaowu Xu's avatar
Yaowu Xu committed
637
  aom_yv12_copy_y(&cpi->last_frame_uf, cm->frame_to_show);
638
  return cost_wiener;
639 640
}

641 642 643 644 645
static double search_norestore(const YV12_BUFFER_CONFIG *src, AV1_COMP *cpi,
                               int filter_level, int partial_frame,
                               RestorationInfo *info, double *best_tile_cost) {
  double err, cost_norestore;
  int bits;
646
  MACROBLOCK *x = &cpi->td.mb;
647 648
  AV1_COMMON *const cm = &cpi->common;
  int tile_idx, tile_width, tile_height, nhtiles, nvtiles;
649 650 651
  int h_start, h_end, v_start, v_end;
  const int ntiles = av1_get_rest_ntiles(cm->width, cm->height, &tile_width,
                                         &tile_height, &nhtiles, &nvtiles);
652
  (void)info;
653 654 655 656 657 658 659 660 661 662 663 664 665

  //  Make a copy of the unfiltered / processed recon buffer
  aom_yv12_copy_y(cm->frame_to_show, &cpi->last_frame_uf);
  av1_loop_filter_frame(cm->frame_to_show, cm, &cpi->td.mb.e_mbd, filter_level,
                        1, partial_frame);
  aom_yv12_copy_y(cm->frame_to_show, &cpi->last_frame_db);

  for (tile_idx = 0; tile_idx < ntiles; ++tile_idx) {
    av1_get_rest_tile_limits(tile_idx, 0, 0, nhtiles, nvtiles, tile_width,
                             tile_height, cm->width, cm->height, 0, 0, &h_start,
                             &h_end, &v_start, &v_end);
    err = sse_restoration_tile(src, cm, h_start, h_end - h_start, v_start,
                               v_end - v_start);
666
    best_tile_cost[tile_idx] =
667 668
        RDCOST_DBL(x->rdmult, x->rddiv,
                   (cpi->switchable_restore_cost[RESTORE_NONE] >> 4), err);
669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704
  }
  // RD cost associated with no restoration
  err = sse_restoration_tile(src, cm, 0, cm->width, 0, cm->height);
  bits = frame_level_restore_bits[RESTORE_NONE] << AV1_PROB_COST_SHIFT;
  cost_norestore = RDCOST_DBL(x->rdmult, x->rddiv, (bits >> 4), err);
  aom_yv12_copy_y(&cpi->last_frame_uf, cm->frame_to_show);
  return cost_norestore;
}

static double search_switchable_restoration(
    AV1_COMP *cpi, int filter_level, int partial_frame, RestorationInfo *rsi,
    double *tile_cost[RESTORE_SWITCHABLE_TYPES]) {
  AV1_COMMON *const cm = &cpi->common;
  MACROBLOCK *x = &cpi->td.mb;
  double cost_switchable = 0;
  int r, bits, tile_idx;
  const int ntiles =
      av1_get_rest_ntiles(cm->width, cm->height, NULL, NULL, NULL, NULL);

  //  Make a copy of the unfiltered / processed recon buffer
  aom_yv12_copy_y(cm->frame_to_show, &cpi->last_frame_uf);
  av1_loop_filter_frame(cm->frame_to_show, cm, &cpi->td.mb.e_mbd, filter_level,
                        1, partial_frame);
  aom_yv12_copy_y(cm->frame_to_show, &cpi->last_frame_db);

  rsi->frame_restoration_type = RESTORE_SWITCHABLE;
  bits = frame_level_restore_bits[rsi->frame_restoration_type]
         << AV1_PROB_COST_SHIFT;
  cost_switchable = RDCOST_DBL(x->rdmult, x->rddiv, bits >> 4, 0);
  for (tile_idx = 0; tile_idx < ntiles; ++tile_idx) {
    double best_cost = tile_cost[RESTORE_NONE][tile_idx];
    rsi->restoration_type[tile_idx] = RESTORE_NONE;
    for (r = 1; r < RESTORE_SWITCHABLE_TYPES; r++) {
      if (tile_cost[r][tile_idx] < best_cost) {
        rsi->restoration_type[tile_idx] = r;
        best_cost = tile_cost[r][tile_idx];
705 706
      }
    }
707
    cost_switchable += best_cost;
708 709
  }
  aom_yv12_copy_y(&cpi->last_frame_uf, cm->frame_to_show);
710
  return cost_switchable;
711 712 713
}

void av1_pick_filter_restoration(const YV12_BUFFER_CONFIG *src, AV1_COMP *cpi,
Yaowu Xu's avatar
Yaowu Xu committed
714
                                 LPF_PICK_METHOD method) {
715 716 717
  static search_restore_type search_restore_fun[RESTORE_SWITCHABLE_TYPES] = {
    search_norestore, search_bilateral, search_wiener,
  };
Yaowu Xu's avatar
Yaowu Xu committed
718
  AV1_COMMON *const cm = &cpi->common;
719
  struct loopfilter *const lf = &cm->lf;
720 721 722 723 724
  double cost_restore[RESTORE_TYPES];
  double *tile_cost[RESTORE_SWITCHABLE_TYPES];
  double best_cost_restore;
  RestorationType r, best_restore;

725 726 727 728 729
  const int ntiles =
      av1_get_rest_ntiles(cm->width, cm->height, NULL, NULL, NULL, NULL);
  cm->rst_info.restoration_type = (RestorationType *)aom_realloc(
      cm->rst_info.restoration_type,
      sizeof(*cm->rst_info.restoration_type) * ntiles);
730 731 732 733 734 735 736 737 738 739
  cm->rst_info.bilateral_info = (BilateralInfo *)aom_realloc(
      cm->rst_info.bilateral_info,
      sizeof(*cm->rst_info.bilateral_info) * ntiles);
  assert(cm->rst_info.bilateral_info != NULL);
  cm->rst_info.wiener_info = (WienerInfo *)aom_realloc(
      cm->rst_info.wiener_info, sizeof(*cm->rst_info.wiener_info) * ntiles);
  assert(cm->rst_info.wiener_info != NULL);

  for (r = 0; r < RESTORE_SWITCHABLE_TYPES; r++)
    tile_cost[r] = (double *)aom_malloc(sizeof(*tile_cost[0]) * ntiles);
740

741
  lf->sharpness_level = cm->frame_type == KEY_FRAME ? 0 : cpi->oxcf.sharpness;
742 743

  if (method == LPF_PICK_MINIMAL_LPF && lf->filter_level) {
744
    lf->filter_level = 0;
745
    cm->rst_info.frame_restoration_type = RESTORE_NONE;
746 747
  } else if (method >= LPF_PICK_FROM_Q) {
    const int min_filter_level = 0;
Yaowu Xu's avatar
Yaowu Xu committed
748 749
    const int max_filter_level = av1_get_max_filter_level(cpi);
    const int q = av1_ac_quant(cm->base_qindex, 0, cm->bit_depth);
750 751
// These values were determined by linear fitting the result of the
// searched level, filt_guess = q * 0.316206 + 3.87252
Yaowu Xu's avatar
Yaowu Xu committed
752
#if CONFIG_AOM_HIGHBITDEPTH
753 754
    int filt_guess;
    switch (cm->bit_depth) {
Yaowu Xu's avatar
Yaowu Xu committed
755
      case AOM_BITS_8:
756 757
        filt_guess = ROUND_POWER_OF_TWO(q * 20723 + 1015158, 18);
        break;
Yaowu Xu's avatar
Yaowu Xu committed
758
      case AOM_BITS_10:
759 760
        filt_guess = ROUND_POWER_OF_TWO(q * 20723 + 4060632, 20);
        break;
Yaowu Xu's avatar
Yaowu Xu committed
761
      case AOM_BITS_12:
762 763 764
        filt_guess = ROUND_POWER_OF_TWO(q * 20723 + 16242526, 22);
        break;
      default:
765
        assert(0 &&
Yaowu Xu's avatar
Yaowu Xu committed
766 767
               "bit_depth should be AOM_BITS_8, AOM_BITS_10 "
               "or AOM_BITS_12");
768 769 770 771
        return;
    }
#else
    int filt_guess = ROUND_POWER_OF_TWO(q * 20723 + 1015158, 18);
Yaowu Xu's avatar
Yaowu Xu committed
772
#endif  // CONFIG_AOM_HIGHBITDEPTH
773
    if (cm->frame_type == KEY_FRAME) filt_guess -= 4;
774 775
    lf->filter_level = clamp(filt_guess, min_filter_level, max_filter_level);
  } else {
776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795
    lf->filter_level =
        av1_search_filter_level(src, cpi, method == LPF_PICK_FROM_SUBIMAGE,
                                &cost_restore[RESTORE_NONE]);
  }
  for (r = 0; r < RESTORE_SWITCHABLE_TYPES; ++r) {
    cost_restore[r] = search_restore_fun[r](src, cpi, lf->filter_level,
                                            method == LPF_PICK_FROM_SUBIMAGE,
                                            &cm->rst_info, tile_cost[r]);
  }
  cost_restore[RESTORE_SWITCHABLE] = search_switchable_restoration(
      cpi, lf->filter_level, method == LPF_PICK_FROM_SUBIMAGE, &cm->rst_info,
      tile_cost);

  best_cost_restore = DBL_MAX;
  best_restore = 0;
  for (r = 0; r < RESTORE_TYPES; ++r) {
    if (cost_restore[r] < best_cost_restore) {
      best_restore = r;
      best_cost_restore = cost_restore[r];
    }
796
  }
797 798 799 800 801 802 803 804
  cm->rst_info.frame_restoration_type = best_restore;
  /*
  printf("Frame %d/%d frame_restore_type %d : %f %f %f %f\n",
         cm->current_video_frame, cm->show_frame,
         cm->rst_info.frame_restoration_type,
         cost_restore[0], cost_restore[1], cost_restore[2], cost_restore[3]);
         */
  for (r = 0; r < RESTORE_SWITCHABLE_TYPES; r++) aom_free(tile_cost[r]);
805
}