| 1 | // Copyright 2011 Google Inc. All Rights Reserved. |
| 2 | // |
| 3 | // Use of this source code is governed by a BSD-style license |
| 4 | // that can be found in the COPYING file in the root of the source |
| 5 | // tree. An additional intellectual property rights grant can be found |
| 6 | // in the file PATENTS. All contributing project authors may |
| 7 | // be found in the AUTHORS file in the root of the source tree. |
| 8 | // ----------------------------------------------------------------------------- |
| 9 | // |
| 10 | // Cost tables for level and modes |
| 11 | // |
| 12 | // Author: Skal (pascal.massimino@gmail.com) |
| 13 | |
| 14 | #include "src/enc/cost_enc.h" |
| 15 | |
| 16 | //------------------------------------------------------------------------------ |
| 17 | // Level cost tables |
| 18 | |
| 19 | // For each given level, the following table gives the pattern of contexts to |
| 20 | // use for coding it (in [][0]) as well as the bit value to use for each |
| 21 | // context (in [][1]). |
| 22 | const uint16_t VP8LevelCodes[MAX_VARIABLE_LEVEL][2] = { |
| 23 | {0x001, 0x000}, {0x007, 0x001}, {0x00f, 0x005}, |
| 24 | {0x00f, 0x00d}, {0x033, 0x003}, {0x033, 0x003}, {0x033, 0x023}, |
| 25 | {0x033, 0x023}, {0x033, 0x023}, {0x033, 0x023}, {0x0d3, 0x013}, |
| 26 | {0x0d3, 0x013}, {0x0d3, 0x013}, {0x0d3, 0x013}, {0x0d3, 0x013}, |
| 27 | {0x0d3, 0x013}, {0x0d3, 0x013}, {0x0d3, 0x013}, {0x0d3, 0x093}, |
| 28 | {0x0d3, 0x093}, {0x0d3, 0x093}, {0x0d3, 0x093}, {0x0d3, 0x093}, |
| 29 | {0x0d3, 0x093}, {0x0d3, 0x093}, {0x0d3, 0x093}, {0x0d3, 0x093}, |
| 30 | {0x0d3, 0x093}, {0x0d3, 0x093}, {0x0d3, 0x093}, {0x0d3, 0x093}, |
| 31 | {0x0d3, 0x093}, {0x0d3, 0x093}, {0x0d3, 0x093}, {0x153, 0x053}, |
| 32 | {0x153, 0x053}, {0x153, 0x053}, {0x153, 0x053}, {0x153, 0x053}, |
| 33 | {0x153, 0x053}, {0x153, 0x053}, {0x153, 0x053}, {0x153, 0x053}, |
| 34 | {0x153, 0x053}, {0x153, 0x053}, {0x153, 0x053}, {0x153, 0x053}, |
| 35 | {0x153, 0x053}, {0x153, 0x053}, {0x153, 0x053}, {0x153, 0x053}, |
| 36 | {0x153, 0x053}, {0x153, 0x053}, {0x153, 0x053}, {0x153, 0x053}, |
| 37 | {0x153, 0x053}, {0x153, 0x053}, {0x153, 0x053}, {0x153, 0x053}, |
| 38 | {0x153, 0x053}, {0x153, 0x053}, {0x153, 0x053}, {0x153, 0x053}, |
| 39 | {0x153, 0x053}, {0x153, 0x053}, {0x153, 0x053}, {0x153, 0x153} |
| 40 | }; |
| 41 | |
| 42 | static int VariableLevelCost(int level, const uint8_t probas[NUM_PROBAS]) { |
| 43 | int pattern = VP8LevelCodes[level - 1][0]; |
| 44 | int bits = VP8LevelCodes[level - 1][1]; |
| 45 | int cost = 0; |
| 46 | int i; |
| 47 | for (i = 2; pattern; ++i) { |
| 48 | if (pattern & 1) { |
| 49 | cost += VP8BitCost(bits & 1, probas[i]); |
| 50 | } |
| 51 | bits >>= 1; |
| 52 | pattern >>= 1; |
| 53 | } |
| 54 | return cost; |
| 55 | } |
| 56 | |
| 57 | //------------------------------------------------------------------------------ |
| 58 | // Pre-calc level costs once for all |
| 59 | |
| 60 | void VP8CalculateLevelCosts(VP8EncProba* const proba) { |
| 61 | int ctype, band, ctx; |
| 62 | |
| 63 | if (!proba->dirty_) return; // nothing to do. |
| 64 | |
| 65 | for (ctype = 0; ctype < NUM_TYPES; ++ctype) { |
| 66 | int n; |
| 67 | for (band = 0; band < NUM_BANDS; ++band) { |
| 68 | for (ctx = 0; ctx < NUM_CTX; ++ctx) { |
| 69 | const uint8_t* const p = proba->coeffs_[ctype][band][ctx]; |
| 70 | uint16_t* const table = proba->level_cost_[ctype][band][ctx]; |
| 71 | const int cost0 = (ctx > 0) ? VP8BitCost(1, p[0]) : 0; |
| 72 | const int cost_base = VP8BitCost(1, p[1]) + cost0; |
| 73 | int v; |
| 74 | table[0] = VP8BitCost(0, p[1]) + cost0; |
| 75 | for (v = 1; v <= MAX_VARIABLE_LEVEL; ++v) { |
| 76 | table[v] = cost_base + VariableLevelCost(v, p); |
| 77 | } |
| 78 | // Starting at level 67 and up, the variable part of the cost is |
| 79 | // actually constant. |
| 80 | } |
| 81 | } |
| 82 | for (n = 0; n < 16; ++n) { // replicate bands. We don't need to sentinel. |
| 83 | for (ctx = 0; ctx < NUM_CTX; ++ctx) { |
| 84 | proba->remapped_costs_[ctype][n][ctx] = |
| 85 | proba->level_cost_[ctype][VP8EncBands[n]][ctx]; |
| 86 | } |
| 87 | } |
| 88 | } |
| 89 | proba->dirty_ = 0; |
| 90 | } |
| 91 | |
| 92 | //------------------------------------------------------------------------------ |
| 93 | // Mode cost tables. |
| 94 | |
| 95 | // These are the fixed probabilities (in the coding trees) turned into bit-cost |
| 96 | // by calling VP8BitCost(). |
| 97 | const uint16_t VP8FixedCostsUV[4] = { 302, 984, 439, 642 }; |
| 98 | // note: these values include the fixed VP8BitCost(1, 145) mode selection cost. |
| 99 | const uint16_t VP8FixedCostsI16[4] = { 663, 919, 872, 919 }; |
| 100 | const uint16_t VP8FixedCostsI4[NUM_BMODES][NUM_BMODES][NUM_BMODES] = { |
| 101 | { { 40, 1151, 1723, 1874, 2103, 2019, 1628, 1777, 2226, 2137 }, |
| 102 | { 192, 469, 1296, 1308, 1849, 1794, 1781, 1703, 1713, 1522 }, |
| 103 | { 142, 910, 762, 1684, 1849, 1576, 1460, 1305, 1801, 1657 }, |
| 104 | { 559, 641, 1370, 421, 1182, 1569, 1612, 1725, 863, 1007 }, |
| 105 | { 299, 1059, 1256, 1108, 636, 1068, 1581, 1883, 869, 1142 }, |
| 106 | { 277, 1111, 707, 1362, 1089, 672, 1603, 1541, 1545, 1291 }, |
| 107 | { 214, 781, 1609, 1303, 1632, 2229, 726, 1560, 1713, 918 }, |
| 108 | { 152, 1037, 1046, 1759, 1983, 2174, 1358, 742, 1740, 1390 }, |
| 109 | { 512, 1046, 1420, 753, 752, 1297, 1486, 1613, 460, 1207 }, |
| 110 | { 424, 827, 1362, 719, 1462, 1202, 1199, 1476, 1199, 538 } }, |
| 111 | { { 240, 402, 1134, 1491, 1659, 1505, 1517, 1555, 1979, 2099 }, |
| 112 | { 467, 242, 960, 1232, 1714, 1620, 1834, 1570, 1676, 1391 }, |
| 113 | { 500, 455, 463, 1507, 1699, 1282, 1564, 982, 2114, 2114 }, |
| 114 | { 672, 643, 1372, 331, 1589, 1667, 1453, 1938, 996, 876 }, |
| 115 | { 458, 783, 1037, 911, 738, 968, 1165, 1518, 859, 1033 }, |
| 116 | { 504, 815, 504, 1139, 1219, 719, 1506, 1085, 1268, 1268 }, |
| 117 | { 333, 630, 1445, 1239, 1883, 3672, 799, 1548, 1865, 598 }, |
| 118 | { 399, 644, 746, 1342, 1856, 1350, 1493, 613, 1855, 1015 }, |
| 119 | { 622, 749, 1205, 608, 1066, 1408, 1290, 1406, 546, 971 }, |
| 120 | { 500, 753, 1041, 668, 1230, 1617, 1297, 1425, 1383, 523 } }, |
| 121 | { { 394, 553, 523, 1502, 1536, 981, 1608, 1142, 1666, 2181 }, |
| 122 | { 655, 430, 375, 1411, 1861, 1220, 1677, 1135, 1978, 1553 }, |
| 123 | { 690, 640, 245, 1954, 2070, 1194, 1528, 982, 1972, 2232 }, |
| 124 | { 559, 834, 741, 867, 1131, 980, 1225, 852, 1092, 784 }, |
| 125 | { 690, 875, 516, 959, 673, 894, 1056, 1190, 1528, 1126 }, |
| 126 | { 740, 951, 384, 1277, 1177, 492, 1579, 1155, 1846, 1513 }, |
| 127 | { 323, 775, 1062, 1776, 3062, 1274, 813, 1188, 1372, 655 }, |
| 128 | { 488, 971, 484, 1767, 1515, 1775, 1115, 503, 1539, 1461 }, |
| 129 | { 740, 1006, 998, 709, 851, 1230, 1337, 788, 741, 721 }, |
| 130 | { 522, 1073, 573, 1045, 1346, 887, 1046, 1146, 1203, 697 } }, |
| 131 | { { 105, 864, 1442, 1009, 1934, 1840, 1519, 1920, 1673, 1579 }, |
| 132 | { 534, 305, 1193, 683, 1388, 2164, 1802, 1894, 1264, 1170 }, |
| 133 | { 305, 518, 877, 1108, 1426, 3215, 1425, 1064, 1320, 1242 }, |
| 134 | { 683, 732, 1927, 257, 1493, 2048, 1858, 1552, 1055, 947 }, |
| 135 | { 394, 814, 1024, 660, 959, 1556, 1282, 1289, 893, 1047 }, |
| 136 | { 528, 615, 996, 940, 1201, 635, 1094, 2515, 803, 1358 }, |
| 137 | { 347, 614, 1609, 1187, 3133, 1345, 1007, 1339, 1017, 667 }, |
| 138 | { 218, 740, 878, 1605, 3650, 3650, 1345, 758, 1357, 1617 }, |
| 139 | { 672, 750, 1541, 558, 1257, 1599, 1870, 2135, 402, 1087 }, |
| 140 | { 592, 684, 1161, 430, 1092, 1497, 1475, 1489, 1095, 822 } }, |
| 141 | { { 228, 1056, 1059, 1368, 752, 982, 1512, 1518, 987, 1782 }, |
| 142 | { 494, 514, 818, 942, 965, 892, 1610, 1356, 1048, 1363 }, |
| 143 | { 512, 648, 591, 1042, 761, 991, 1196, 1454, 1309, 1463 }, |
| 144 | { 683, 749, 1043, 676, 841, 1396, 1133, 1138, 654, 939 }, |
| 145 | { 622, 1101, 1126, 994, 361, 1077, 1203, 1318, 877, 1219 }, |
| 146 | { 631, 1068, 857, 1650, 651, 477, 1650, 1419, 828, 1170 }, |
| 147 | { 555, 727, 1068, 1335, 3127, 1339, 820, 1331, 1077, 429 }, |
| 148 | { 504, 879, 624, 1398, 889, 889, 1392, 808, 891, 1406 }, |
| 149 | { 683, 1602, 1289, 977, 578, 983, 1280, 1708, 406, 1122 }, |
| 150 | { 399, 865, 1433, 1070, 1072, 764, 968, 1477, 1223, 678 } }, |
| 151 | { { 333, 760, 935, 1638, 1010, 529, 1646, 1410, 1472, 2219 }, |
| 152 | { 512, 494, 750, 1160, 1215, 610, 1870, 1868, 1628, 1169 }, |
| 153 | { 572, 646, 492, 1934, 1208, 603, 1580, 1099, 1398, 1995 }, |
| 154 | { 786, 789, 942, 581, 1018, 951, 1599, 1207, 731, 768 }, |
| 155 | { 690, 1015, 672, 1078, 582, 504, 1693, 1438, 1108, 2897 }, |
| 156 | { 768, 1267, 571, 2005, 1243, 244, 2881, 1380, 1786, 1453 }, |
| 157 | { 452, 899, 1293, 903, 1311, 3100, 465, 1311, 1319, 813 }, |
| 158 | { 394, 927, 942, 1103, 1358, 1104, 946, 593, 1363, 1109 }, |
| 159 | { 559, 1005, 1007, 1016, 658, 1173, 1021, 1164, 623, 1028 }, |
| 160 | { 564, 796, 632, 1005, 1014, 863, 2316, 1268, 938, 764 } }, |
| 161 | { { 266, 606, 1098, 1228, 1497, 1243, 948, 1030, 1734, 1461 }, |
| 162 | { 366, 585, 901, 1060, 1407, 1247, 876, 1134, 1620, 1054 }, |
| 163 | { 452, 565, 542, 1729, 1479, 1479, 1016, 886, 2938, 1150 }, |
| 164 | { 555, 1088, 1533, 950, 1354, 895, 834, 1019, 1021, 496 }, |
| 165 | { 704, 815, 1193, 971, 973, 640, 1217, 2214, 832, 578 }, |
| 166 | { 672, 1245, 579, 871, 875, 774, 872, 1273, 1027, 949 }, |
| 167 | { 296, 1134, 2050, 1784, 1636, 3425, 442, 1550, 2076, 722 }, |
| 168 | { 342, 982, 1259, 1846, 1848, 1848, 622, 568, 1847, 1052 }, |
| 169 | { 555, 1064, 1304, 828, 746, 1343, 1075, 1329, 1078, 494 }, |
| 170 | { 288, 1167, 1285, 1174, 1639, 1639, 833, 2254, 1304, 509 } }, |
| 171 | { { 342, 719, 767, 1866, 1757, 1270, 1246, 550, 1746, 2151 }, |
| 172 | { 483, 653, 694, 1509, 1459, 1410, 1218, 507, 1914, 1266 }, |
| 173 | { 488, 757, 447, 2979, 1813, 1268, 1654, 539, 1849, 2109 }, |
| 174 | { 522, 1097, 1085, 851, 1365, 1111, 851, 901, 961, 605 }, |
| 175 | { 709, 716, 841, 728, 736, 945, 941, 862, 2845, 1057 }, |
| 176 | { 512, 1323, 500, 1336, 1083, 681, 1342, 717, 1604, 1350 }, |
| 177 | { 452, 1155, 1372, 1900, 1501, 3290, 311, 944, 1919, 922 }, |
| 178 | { 403, 1520, 977, 2132, 1733, 3522, 1076, 276, 3335, 1547 }, |
| 179 | { 559, 1374, 1101, 615, 673, 2462, 974, 795, 984, 984 }, |
| 180 | { 547, 1122, 1062, 812, 1410, 951, 1140, 622, 1268, 651 } }, |
| 181 | { { 165, 982, 1235, 938, 1334, 1366, 1659, 1578, 964, 1612 }, |
| 182 | { 592, 422, 925, 847, 1139, 1112, 1387, 2036, 861, 1041 }, |
| 183 | { 403, 837, 732, 770, 941, 1658, 1250, 809, 1407, 1407 }, |
| 184 | { 896, 874, 1071, 381, 1568, 1722, 1437, 2192, 480, 1035 }, |
| 185 | { 640, 1098, 1012, 1032, 684, 1382, 1581, 2106, 416, 865 }, |
| 186 | { 559, 1005, 819, 914, 710, 770, 1418, 920, 838, 1435 }, |
| 187 | { 415, 1258, 1245, 870, 1278, 3067, 770, 1021, 1287, 522 }, |
| 188 | { 406, 990, 601, 1009, 1265, 1265, 1267, 759, 1017, 1277 }, |
| 189 | { 968, 1182, 1329, 788, 1032, 1292, 1705, 1714, 203, 1403 }, |
| 190 | { 732, 877, 1279, 471, 901, 1161, 1545, 1294, 755, 755 } }, |
| 191 | { { 111, 931, 1378, 1185, 1933, 1648, 1148, 1714, 1873, 1307 }, |
| 192 | { 406, 414, 1030, 1023, 1910, 1404, 1313, 1647, 1509, 793 }, |
| 193 | { 342, 640, 575, 1088, 1241, 1349, 1161, 1350, 1756, 1502 }, |
| 194 | { 559, 766, 1185, 357, 1682, 1428, 1329, 1897, 1219, 802 }, |
| 195 | { 473, 909, 1164, 771, 719, 2508, 1427, 1432, 722, 782 }, |
| 196 | { 342, 892, 785, 1145, 1150, 794, 1296, 1550, 973, 1057 }, |
| 197 | { 208, 1036, 1326, 1343, 1606, 3395, 815, 1455, 1618, 712 }, |
| 198 | { 228, 928, 890, 1046, 3499, 1711, 994, 829, 1720, 1318 }, |
| 199 | { 768, 724, 1058, 636, 991, 1075, 1319, 1324, 616, 825 }, |
| 200 | { 305, 1167, 1358, 899, 1587, 1587, 987, 1988, 1332, 501 } } |
| 201 | }; |
| 202 | |
| 203 | //------------------------------------------------------------------------------ |
| 204 | // helper functions for residuals struct VP8Residual. |
| 205 | |
| 206 | void VP8InitResidual(int first, int coeff_type, |
| 207 | VP8Encoder* const enc, VP8Residual* const res) { |
| 208 | res->coeff_type = coeff_type; |
| 209 | res->prob = enc->proba_.coeffs_[coeff_type]; |
| 210 | res->stats = enc->proba_.stats_[coeff_type]; |
| 211 | res->costs = enc->proba_.remapped_costs_[coeff_type]; |
| 212 | res->first = first; |
| 213 | } |
| 214 | |
| 215 | //------------------------------------------------------------------------------ |
| 216 | // Mode costs |
| 217 | |
| 218 | int VP8GetCostLuma4(VP8EncIterator* const it, const int16_t levels[16]) { |
| 219 | const int x = (it->i4_ & 3), y = (it->i4_ >> 2); |
| 220 | VP8Residual res; |
| 221 | VP8Encoder* const enc = it->enc_; |
| 222 | int R = 0; |
| 223 | int ctx; |
| 224 | |
| 225 | VP8InitResidual(0, 3, enc, &res); |
| 226 | ctx = it->top_nz_[x] + it->left_nz_[y]; |
| 227 | VP8SetResidualCoeffs(levels, &res); |
| 228 | R += VP8GetResidualCost(ctx, &res); |
| 229 | return R; |
| 230 | } |
| 231 | |
| 232 | int VP8GetCostLuma16(VP8EncIterator* const it, const VP8ModeScore* const rd) { |
| 233 | VP8Residual res; |
| 234 | VP8Encoder* const enc = it->enc_; |
| 235 | int x, y; |
| 236 | int R = 0; |
| 237 | |
| 238 | VP8IteratorNzToBytes(it); // re-import the non-zero context |
| 239 | |
| 240 | // DC |
| 241 | VP8InitResidual(0, 1, enc, &res); |
| 242 | VP8SetResidualCoeffs(rd->y_dc_levels, &res); |
| 243 | R += VP8GetResidualCost(it->top_nz_[8] + it->left_nz_[8], &res); |
| 244 | |
| 245 | // AC |
| 246 | VP8InitResidual(1, 0, enc, &res); |
| 247 | for (y = 0; y < 4; ++y) { |
| 248 | for (x = 0; x < 4; ++x) { |
| 249 | const int ctx = it->top_nz_[x] + it->left_nz_[y]; |
| 250 | VP8SetResidualCoeffs(rd->y_ac_levels[x + y * 4], &res); |
| 251 | R += VP8GetResidualCost(ctx, &res); |
| 252 | it->top_nz_[x] = it->left_nz_[y] = (res.last >= 0); |
| 253 | } |
| 254 | } |
| 255 | return R; |
| 256 | } |
| 257 | |
| 258 | int VP8GetCostUV(VP8EncIterator* const it, const VP8ModeScore* const rd) { |
| 259 | VP8Residual res; |
| 260 | VP8Encoder* const enc = it->enc_; |
| 261 | int ch, x, y; |
| 262 | int R = 0; |
| 263 | |
| 264 | VP8IteratorNzToBytes(it); // re-import the non-zero context |
| 265 | |
| 266 | VP8InitResidual(0, 2, enc, &res); |
| 267 | for (ch = 0; ch <= 2; ch += 2) { |
| 268 | for (y = 0; y < 2; ++y) { |
| 269 | for (x = 0; x < 2; ++x) { |
| 270 | const int ctx = it->top_nz_[4 + ch + x] + it->left_nz_[4 + ch + y]; |
| 271 | VP8SetResidualCoeffs(rd->uv_levels[ch * 2 + x + y * 2], &res); |
| 272 | R += VP8GetResidualCost(ctx, &res); |
| 273 | it->top_nz_[4 + ch + x] = it->left_nz_[4 + ch + y] = (res.last >= 0); |
| 274 | } |
| 275 | } |
| 276 | } |
| 277 | return R; |
| 278 | } |
| 279 | |
| 280 | |
| 281 | //------------------------------------------------------------------------------ |
| 282 | // Recording of token probabilities. |
| 283 | |
| 284 | // We keep the table-free variant around for reference, in case. |
| 285 | #define USE_LEVEL_CODE_TABLE |
| 286 | |
| 287 | // Simulate block coding, but only record statistics. |
| 288 | // Note: no need to record the fixed probas. |
| 289 | int VP8RecordCoeffs(int ctx, const VP8Residual* const res) { |
| 290 | int n = res->first; |
| 291 | // should be stats[VP8EncBands[n]], but it's equivalent for n=0 or 1 |
| 292 | proba_t* s = res->stats[n][ctx]; |
| 293 | if (res->last < 0) { |
| 294 | VP8RecordStats(0, s + 0); |
| 295 | return 0; |
| 296 | } |
| 297 | while (n <= res->last) { |
| 298 | int v; |
| 299 | VP8RecordStats(1, s + 0); // order of record doesn't matter |
| 300 | while ((v = res->coeffs[n++]) == 0) { |
| 301 | VP8RecordStats(0, s + 1); |
| 302 | s = res->stats[VP8EncBands[n]][0]; |
| 303 | } |
| 304 | VP8RecordStats(1, s + 1); |
| 305 | if (!VP8RecordStats(2u < (unsigned int)(v + 1), s + 2)) { // v = -1 or 1 |
| 306 | s = res->stats[VP8EncBands[n]][1]; |
| 307 | } else { |
| 308 | v = abs(v); |
| 309 | #if !defined(USE_LEVEL_CODE_TABLE) |
| 310 | if (!VP8RecordStats(v > 4, s + 3)) { |
| 311 | if (VP8RecordStats(v != 2, s + 4)) |
| 312 | VP8RecordStats(v == 4, s + 5); |
| 313 | } else if (!VP8RecordStats(v > 10, s + 6)) { |
| 314 | VP8RecordStats(v > 6, s + 7); |
| 315 | } else if (!VP8RecordStats((v >= 3 + (8 << 2)), s + 8)) { |
| 316 | VP8RecordStats((v >= 3 + (8 << 1)), s + 9); |
| 317 | } else { |
| 318 | VP8RecordStats((v >= 3 + (8 << 3)), s + 10); |
| 319 | } |
| 320 | #else |
| 321 | if (v > MAX_VARIABLE_LEVEL) { |
| 322 | v = MAX_VARIABLE_LEVEL; |
| 323 | } |
| 324 | |
| 325 | { |
| 326 | const int bits = VP8LevelCodes[v - 1][1]; |
| 327 | int pattern = VP8LevelCodes[v - 1][0]; |
| 328 | int i; |
| 329 | for (i = 0; (pattern >>= 1) != 0; ++i) { |
| 330 | const int mask = 2 << i; |
| 331 | if (pattern & 1) VP8RecordStats(!!(bits & mask), s + 3 + i); |
| 332 | } |
| 333 | } |
| 334 | #endif |
| 335 | s = res->stats[VP8EncBands[n]][2]; |
| 336 | } |
| 337 | } |
| 338 | if (n < 16) VP8RecordStats(0, s + 0); |
| 339 | return 1; |
| 340 | } |
| 341 | |
| 342 | //------------------------------------------------------------------------------ |
| 343 | |