xref: /aosp_15_r20/external/libgav1/src/utils/constants.cc (revision 095378508e87ed692bf8dfeb34008b65b3735891)

// Copyright 2019 The libgav1 Authors
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
//      http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.

#include "src/utils/constants.h"

namespace libgav1 {

const uint8_t k4x4WidthLog2[kMaxBlockSizes] = {0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2,
                                               2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5};

const uint8_t k4x4HeightLog2[kMaxBlockSizes] = {
    0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 3, 4, 1, 2, 3, 4, 2, 3, 4, 5, 4, 5};

const uint8_t kNum4x4BlocksWide[kMaxBlockSizes] = {
    1, 1, 1, 2, 2, 2, 2, 4, 4, 4, 4, 4, 8, 8, 8, 8, 16, 16, 16, 16, 32, 32};

const uint8_t kNum4x4BlocksHigh[kMaxBlockSizes] = {
    1, 2, 4, 1, 2, 4, 8, 1, 2, 4, 8, 16, 2, 4, 8, 16, 4, 8, 16, 32, 16, 32};

const uint8_t kBlockWidthPixels[kMaxBlockSizes] = {
    4,  4,  4,  8,  8,  8,  8,  16, 16, 16,  16,
    16, 32, 32, 32, 32, 64, 64, 64, 64, 128, 128};

const uint8_t kBlockHeightPixels[kMaxBlockSizes] = {
    4,  8, 16, 4,  8,  16, 32, 4,  8,   16, 32,
    64, 8, 16, 32, 64, 16, 32, 64, 128, 64, 128};

// 9.3 -- Partition_Subsize[]
const BlockSize kSubSize[kMaxPartitionTypes][kMaxBlockSizes] = {
    // kPartitionNone
    {kBlock4x4,     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock8x8,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock16x16,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock32x32,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock64x64,   kBlockInvalid,
     kBlockInvalid, kBlock128x128},
    // kPartitionHorizontal
    {kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock8x4,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock16x8,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock32x16,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock64x32,   kBlockInvalid,
     kBlockInvalid, kBlock128x64},
    // kPartitionVertical
    {kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock4x8,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock8x16,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock16x32,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock32x64,   kBlockInvalid,
     kBlockInvalid, kBlock64x128},
    // kPartitionSplit
    {kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock4x4,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock8x8,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock16x16,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock32x32,   kBlockInvalid,
     kBlockInvalid, kBlock64x64},
    // kPartitionHorizontalWithTopSplit
    {kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock8x4,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock16x8,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock32x16,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock64x32,   kBlockInvalid,
     kBlockInvalid, kBlock128x64},
    // kPartitionHorizontalWithBottomSplit
    {kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock8x4,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock16x8,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock32x16,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock64x32,   kBlockInvalid,
     kBlockInvalid, kBlock128x64},
    // kPartitionVerticalWithLeftSplit
    {kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock4x8,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock8x16,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock16x32,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock32x64,   kBlockInvalid,
     kBlockInvalid, kBlock64x128},
    // kPartitionVerticalWithRightSplit
    {kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock4x8,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock8x16,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock16x32,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock32x64,   kBlockInvalid,
     kBlockInvalid, kBlock64x128},
    // kPartitionHorizontal4
    {kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock16x4,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock32x8,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock64x16,   kBlockInvalid,
     kBlockInvalid, kBlockInvalid},
    // kPartitionVertical4
    {kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock4x16,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock8x32,
     kBlockInvalid, kBlockInvalid, kBlockInvalid, kBlock16x64,   kBlockInvalid,
     kBlockInvalid, kBlockInvalid}};

// 5.11.38 (implemented as a simple look up. first dimension is block size,
// second and third are subsampling_x and subsampling_y).
const BlockSize kPlaneResidualSize[kMaxBlockSizes][2][2] = {
    {{kBlock4x4, kBlock4x4}, {kBlock4x4, kBlock4x4}},
    {{kBlock4x8, kBlock4x4}, {kBlockInvalid, kBlock4x4}},
    {{kBlock4x16, kBlock4x8}, {kBlockInvalid, kBlock4x8}},
    {{kBlock8x4, kBlockInvalid}, {kBlock4x4, kBlock4x4}},
    {{kBlock8x8, kBlock8x4}, {kBlock4x8, kBlock4x4}},
    {{kBlock8x16, kBlock8x8}, {kBlockInvalid, kBlock4x8}},
    {{kBlock8x32, kBlock8x16}, {kBlockInvalid, kBlock4x16}},
    {{kBlock16x4, kBlockInvalid}, {kBlock8x4, kBlock8x4}},
    {{kBlock16x8, kBlockInvalid}, {kBlock8x8, kBlock8x4}},
    {{kBlock16x16, kBlock16x8}, {kBlock8x16, kBlock8x8}},
    {{kBlock16x32, kBlock16x16}, {kBlockInvalid, kBlock8x16}},
    {{kBlock16x64, kBlock16x32}, {kBlockInvalid, kBlock8x32}},
    {{kBlock32x8, kBlockInvalid}, {kBlock16x8, kBlock16x4}},
    {{kBlock32x16, kBlockInvalid}, {kBlock16x16, kBlock16x8}},
    {{kBlock32x32, kBlock32x16}, {kBlock16x32, kBlock16x16}},
    {{kBlock32x64, kBlock32x32}, {kBlockInvalid, kBlock16x32}},
    {{kBlock64x16, kBlockInvalid}, {kBlock32x16, kBlock32x8}},
    {{kBlock64x32, kBlockInvalid}, {kBlock32x32, kBlock32x16}},
    {{kBlock64x64, kBlock64x32}, {kBlock32x64, kBlock32x32}},
    {{kBlock64x128, kBlock64x64}, {kBlockInvalid, kBlock32x64}},
    {{kBlock128x64, kBlockInvalid}, {kBlock64x64, kBlock64x32}},
    {{kBlock128x128, kBlock128x64}, {kBlock64x128, kBlock64x64}}};

const int16_t kProjectionMvDivisionLookup[kMaxFrameDistance + 1] = {
    0,    16384, 8192, 5461, 4096, 3276, 2730, 2340, 2048, 1820, 1638,
    1489, 1365,  1260, 1170, 1092, 1024, 963,  910,  862,  819,  780,
    744,  712,   682,  655,  630,  606,  585,  564,  546,  528};

const uint8_t kTransformWidth[kNumTransformSizes] = {
    4, 4, 4, 8, 8, 8, 8, 16, 16, 16, 16, 16, 32, 32, 32, 32, 64, 64, 64};

const uint8_t kTransformHeight[kNumTransformSizes] = {
    4, 8, 16, 4, 8, 16, 32, 4, 8, 16, 32, 64, 8, 16, 32, 64, 16, 32, 64};

const uint8_t kTransformWidth4x4[kNumTransformSizes] = {
    1, 1, 1, 2, 2, 2, 2, 4, 4, 4, 4, 4, 8, 8, 8, 8, 16, 16, 16};

const uint8_t kTransformHeight4x4[kNumTransformSizes] = {
    1, 2, 4, 1, 2, 4, 8, 1, 2, 4, 8, 16, 2, 4, 8, 16, 4, 8, 16};

const uint8_t kTransformWidthLog2[kNumTransformSizes] = {
    2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6};

const uint8_t kTransformHeightLog2[kNumTransformSizes] = {
    2, 3, 4, 2, 3, 4, 5, 2, 3, 4, 5, 6, 3, 4, 5, 6, 4, 5, 6};

// 9.3 -- Split_Tx_Size[]
const TransformSize kSplitTransformSize[kNumTransformSizes] = {
    kTransformSize4x4,   kTransformSize4x4,   kTransformSize4x8,
    kTransformSize4x4,   kTransformSize4x4,   kTransformSize8x8,
    kTransformSize8x16,  kTransformSize8x4,   kTransformSize8x8,
    kTransformSize8x8,   kTransformSize16x16, kTransformSize16x32,
    kTransformSize16x8,  kTransformSize16x16, kTransformSize16x16,
    kTransformSize32x32, kTransformSize32x16, kTransformSize32x32,
    kTransformSize32x32};

// Square transform of size min(w,h).
const TransformSize kTransformSizeSquareMin[kNumTransformSizes] = {
    kTransformSize4x4,   kTransformSize4x4,   kTransformSize4x4,
    kTransformSize4x4,   kTransformSize8x8,   kTransformSize8x8,
    kTransformSize8x8,   kTransformSize4x4,   kTransformSize8x8,
    kTransformSize16x16, kTransformSize16x16, kTransformSize16x16,
    kTransformSize8x8,   kTransformSize16x16, kTransformSize32x32,
    kTransformSize32x32, kTransformSize16x16, kTransformSize32x32,
    kTransformSize64x64};

// Square transform of size max(w,h).
const TransformSize kTransformSizeSquareMax[kNumTransformSizes] = {
    kTransformSize4x4,   kTransformSize8x8,   kTransformSize16x16,
    kTransformSize8x8,   kTransformSize8x8,   kTransformSize16x16,
    kTransformSize32x32, kTransformSize16x16, kTransformSize16x16,
    kTransformSize16x16, kTransformSize32x32, kTransformSize64x64,
    kTransformSize32x32, kTransformSize32x32, kTransformSize32x32,
    kTransformSize64x64, kTransformSize64x64, kTransformSize64x64,
    kTransformSize64x64};

const uint8_t kNumTransformTypesInSet[kNumTransformSets] = {1, 7, 5, 16, 12, 2};

const uint8_t kSgrProjParams[1 << kSgrProjParamsBits][4] = {
    {2, 12, 1, 4},  {2, 15, 1, 6},  {2, 18, 1, 8},  {2, 21, 1, 9},
    {2, 24, 1, 10}, {2, 29, 1, 11}, {2, 36, 1, 12}, {2, 45, 1, 13},
    {2, 56, 1, 14}, {2, 68, 1, 15}, {0, 0, 1, 5},   {0, 0, 1, 8},
    {0, 0, 1, 11},  {0, 0, 1, 14},  {2, 30, 0, 0},  {2, 75, 0, 0}};

const int8_t kSgrProjMultiplierMin[2] = {-96, -32};

const int8_t kSgrProjMultiplierMax[2] = {31, 95};

const int8_t kWienerTapsMin[3] = {-5, -23, -17};

const int8_t kWienerTapsMax[3] = {10, 8, 46};

// This was modified from Upscale_Filter as defined in AV1 Section 7.16, in
// order to support 16-bit packed NEON operations.
// The sign of each tap is: - + - + + - + -
alignas(16) const uint8_t
    kUpscaleFilterUnsigned[kSuperResFilterShifts][kSuperResFilterTaps] = {
        {0, 0, 0, 128, 0, 0, 0, 0},    {0, 0, 1, 128, 2, 1, 0, 0},
        {0, 1, 3, 127, 4, 2, 1, 0},    {0, 1, 4, 127, 6, 3, 1, 0},
        {0, 2, 6, 126, 8, 3, 1, 0},    {0, 2, 7, 125, 11, 4, 1, 0},
        {1, 2, 8, 125, 13, 5, 2, 0},   {1, 3, 9, 124, 15, 6, 2, 0},
        {1, 3, 10, 123, 18, 6, 2, 1},  {1, 3, 11, 122, 20, 7, 3, 1},
        {1, 4, 12, 121, 22, 8, 3, 1},  {1, 4, 13, 120, 25, 9, 3, 1},
        {1, 4, 14, 118, 28, 9, 3, 1},  {1, 4, 15, 117, 30, 10, 4, 1},
        {1, 5, 16, 116, 32, 11, 4, 1}, {1, 5, 16, 114, 35, 12, 4, 1},
        {1, 5, 17, 112, 38, 12, 4, 1}, {1, 5, 18, 111, 40, 13, 5, 1},
        {1, 5, 18, 109, 43, 14, 5, 1}, {1, 6, 19, 107, 45, 14, 5, 1},
        {1, 6, 19, 105, 48, 15, 5, 1}, {1, 6, 19, 103, 51, 16, 5, 1},
        {1, 6, 20, 101, 53, 16, 6, 1}, {1, 6, 20, 99, 56, 17, 6, 1},
        {1, 6, 20, 97, 58, 17, 6, 1},  {1, 6, 20, 95, 61, 18, 6, 1},
        {2, 7, 20, 93, 64, 18, 6, 2},  {2, 7, 20, 91, 66, 19, 6, 1},
        {2, 7, 20, 88, 69, 19, 6, 1},  {2, 7, 20, 86, 71, 19, 6, 1},
        {2, 7, 20, 84, 74, 20, 7, 2},  {2, 7, 20, 81, 76, 20, 7, 1},
        {2, 7, 20, 79, 79, 20, 7, 2},  {1, 7, 20, 76, 81, 20, 7, 2},
        {2, 7, 20, 74, 84, 20, 7, 2},  {1, 6, 19, 71, 86, 20, 7, 2},
        {1, 6, 19, 69, 88, 20, 7, 2},  {1, 6, 19, 66, 91, 20, 7, 2},
        {2, 6, 18, 64, 93, 20, 7, 2},  {1, 6, 18, 61, 95, 20, 6, 1},
        {1, 6, 17, 58, 97, 20, 6, 1},  {1, 6, 17, 56, 99, 20, 6, 1},
        {1, 6, 16, 53, 101, 20, 6, 1}, {1, 5, 16, 51, 103, 19, 6, 1},
        {1, 5, 15, 48, 105, 19, 6, 1}, {1, 5, 14, 45, 107, 19, 6, 1},
        {1, 5, 14, 43, 109, 18, 5, 1}, {1, 5, 13, 40, 111, 18, 5, 1},
        {1, 4, 12, 38, 112, 17, 5, 1}, {1, 4, 12, 35, 114, 16, 5, 1},
        {1, 4, 11, 32, 116, 16, 5, 1}, {1, 4, 10, 30, 117, 15, 4, 1},
        {1, 3, 9, 28, 118, 14, 4, 1},  {1, 3, 9, 25, 120, 13, 4, 1},
        {1, 3, 8, 22, 121, 12, 4, 1},  {1, 3, 7, 20, 122, 11, 3, 1},
        {1, 2, 6, 18, 123, 10, 3, 1},  {0, 2, 6, 15, 124, 9, 3, 1},
        {0, 2, 5, 13, 125, 8, 2, 1},   {0, 1, 4, 11, 125, 7, 2, 0},
        {0, 1, 3, 8, 126, 6, 2, 0},    {0, 1, 3, 6, 127, 4, 1, 0},
        {0, 1, 2, 4, 127, 3, 1, 0},    {0, 0, 1, 2, 128, 1, 0, 0},
};

alignas(8) const int8_t
    kWarpedFilters8[3 * kWarpedPixelPrecisionShifts + 1][8] = {
        // [-1, 0).
        {0, 0, 127, 1, 0, 0, 0, 0},
        {0, -1, 127, 2, 0, 0, 0, 0},
        {1, -3, 127, 4, -1, 0, 0, 0},
        {1, -4, 126, 6, -2, 1, 0, 0},
        {1, -5, 126, 8, -3, 1, 0, 0},
        {1, -6, 125, 11, -4, 1, 0, 0},
        {1, -7, 124, 13, -4, 1, 0, 0},
        {2, -8, 123, 15, -5, 1, 0, 0},
        {2, -9, 122, 18, -6, 1, 0, 0},
        {2, -10, 121, 20, -6, 1, 0, 0},
        {2, -11, 120, 22, -7, 2, 0, 0},
        {2, -12, 119, 25, -8, 2, 0, 0},
        {3, -13, 117, 27, -8, 2, 0, 0},
        {3, -13, 116, 29, -9, 2, 0, 0},
        {3, -14, 114, 32, -10, 3, 0, 0},
        {3, -15, 113, 35, -10, 2, 0, 0},
        {3, -15, 111, 37, -11, 3, 0, 0},
        {3, -16, 109, 40, -11, 3, 0, 0},
        {3, -16, 108, 42, -12, 3, 0, 0},
        {4, -17, 106, 45, -13, 3, 0, 0},
        {4, -17, 104, 47, -13, 3, 0, 0},
        {4, -17, 102, 50, -14, 3, 0, 0},
        {4, -17, 100, 52, -14, 3, 0, 0},
        {4, -18, 98, 55, -15, 4, 0, 0},
        {4, -18, 96, 58, -15, 3, 0, 0},
        {4, -18, 94, 60, -16, 4, 0, 0},
        {4, -18, 91, 63, -16, 4, 0, 0},
        {4, -18, 89, 65, -16, 4, 0, 0},
        {4, -18, 87, 68, -17, 4, 0, 0},
        {4, -18, 85, 70, -17, 4, 0, 0},
        {4, -18, 82, 73, -17, 4, 0, 0},
        {4, -18, 80, 75, -17, 4, 0, 0},
        {4, -18, 78, 78, -18, 4, 0, 0},
        {4, -17, 75, 80, -18, 4, 0, 0},
        {4, -17, 73, 82, -18, 4, 0, 0},
        {4, -17, 70, 85, -18, 4, 0, 0},
        {4, -17, 68, 87, -18, 4, 0, 0},
        {4, -16, 65, 89, -18, 4, 0, 0},
        {4, -16, 63, 91, -18, 4, 0, 0},
        {4, -16, 60, 94, -18, 4, 0, 0},
        {3, -15, 58, 96, -18, 4, 0, 0},
        {4, -15, 55, 98, -18, 4, 0, 0},
        {3, -14, 52, 100, -17, 4, 0, 0},
        {3, -14, 50, 102, -17, 4, 0, 0},
        {3, -13, 47, 104, -17, 4, 0, 0},
        {3, -13, 45, 106, -17, 4, 0, 0},
        {3, -12, 42, 108, -16, 3, 0, 0},
        {3, -11, 40, 109, -16, 3, 0, 0},
        {3, -11, 37, 111, -15, 3, 0, 0},
        {2, -10, 35, 113, -15, 3, 0, 0},
        {3, -10, 32, 114, -14, 3, 0, 0},
        {2, -9, 29, 116, -13, 3, 0, 0},
        {2, -8, 27, 117, -13, 3, 0, 0},
        {2, -8, 25, 119, -12, 2, 0, 0},
        {2, -7, 22, 120, -11, 2, 0, 0},
        {1, -6, 20, 121, -10, 2, 0, 0},
        {1, -6, 18, 122, -9, 2, 0, 0},
        {1, -5, 15, 123, -8, 2, 0, 0},
        {1, -4, 13, 124, -7, 1, 0, 0},
        {1, -4, 11, 125, -6, 1, 0, 0},
        {1, -3, 8, 126, -5, 1, 0, 0},
        {1, -2, 6, 126, -4, 1, 0, 0},
        {0, -1, 4, 127, -3, 1, 0, 0},
        {0, 0, 2, 127, -1, 0, 0, 0},
        // [0, 1).
        {0, 0, 0, 127, 1, 0, 0, 0},
        {0, 0, -1, 127, 2, 0, 0, 0},
        {0, 1, -3, 127, 4, -2, 1, 0},
        {0, 1, -5, 127, 6, -2, 1, 0},
        {0, 2, -6, 126, 8, -3, 1, 0},
        {-1, 2, -7, 126, 11, -4, 2, -1},
        {-1, 3, -8, 125, 13, -5, 2, -1},
        {-1, 3, -10, 124, 16, -6, 3, -1},
        {-1, 4, -11, 123, 18, -7, 3, -1},
        {-1, 4, -12, 122, 20, -7, 3, -1},
        {-1, 4, -13, 121, 23, -8, 3, -1},
        {-2, 5, -14, 120, 25, -9, 4, -1},
        {-1, 5, -15, 119, 27, -10, 4, -1},
        {-1, 5, -16, 118, 30, -11, 4, -1},
        {-2, 6, -17, 116, 33, -12, 5, -1},
        {-2, 6, -17, 114, 35, -12, 5, -1},
        {-2, 6, -18, 113, 38, -13, 5, -1},
        {-2, 7, -19, 111, 41, -14, 6, -2},
        {-2, 7, -19, 110, 43, -15, 6, -2},
        {-2, 7, -20, 108, 46, -15, 6, -2},
        {-2, 7, -20, 106, 49, -16, 6, -2},
        {-2, 7, -21, 104, 51, -16, 7, -2},
        {-2, 7, -21, 102, 54, -17, 7, -2},
        {-2, 8, -21, 100, 56, -18, 7, -2},
        {-2, 8, -22, 98, 59, -18, 7, -2},
        {-2, 8, -22, 96, 62, -19, 7, -2},
        {-2, 8, -22, 94, 64, -19, 7, -2},
        {-2, 8, -22, 91, 67, -20, 8, -2},
        {-2, 8, -22, 89, 69, -20, 8, -2},
        {-2, 8, -22, 87, 72, -21, 8, -2},
        {-2, 8, -21, 84, 74, -21, 8, -2},
        {-2, 8, -22, 82, 77, -21, 8, -2},
        {-2, 8, -21, 79, 79, -21, 8, -2},
        {-2, 8, -21, 77, 82, -22, 8, -2},
        {-2, 8, -21, 74, 84, -21, 8, -2},
        {-2, 8, -21, 72, 87, -22, 8, -2},
        {-2, 8, -20, 69, 89, -22, 8, -2},
        {-2, 8, -20, 67, 91, -22, 8, -2},
        {-2, 7, -19, 64, 94, -22, 8, -2},
        {-2, 7, -19, 62, 96, -22, 8, -2},
        {-2, 7, -18, 59, 98, -22, 8, -2},
        {-2, 7, -18, 56, 100, -21, 8, -2},
        {-2, 7, -17, 54, 102, -21, 7, -2},
        {-2, 7, -16, 51, 104, -21, 7, -2},
        {-2, 6, -16, 49, 106, -20, 7, -2},
        {-2, 6, -15, 46, 108, -20, 7, -2},
        {-2, 6, -15, 43, 110, -19, 7, -2},
        {-2, 6, -14, 41, 111, -19, 7, -2},
        {-1, 5, -13, 38, 113, -18, 6, -2},
        {-1, 5, -12, 35, 114, -17, 6, -2},
        {-1, 5, -12, 33, 116, -17, 6, -2},
        {-1, 4, -11, 30, 118, -16, 5, -1},
        {-1, 4, -10, 27, 119, -15, 5, -1},
        {-1, 4, -9, 25, 120, -14, 5, -2},
        {-1, 3, -8, 23, 121, -13, 4, -1},
        {-1, 3, -7, 20, 122, -12, 4, -1},
        {-1, 3, -7, 18, 123, -11, 4, -1},
        {-1, 3, -6, 16, 124, -10, 3, -1},
        {-1, 2, -5, 13, 125, -8, 3, -1},
        {-1, 2, -4, 11, 126, -7, 2, -1},
        {0, 1, -3, 8, 126, -6, 2, 0},
        {0, 1, -2, 6, 127, -5, 1, 0},
        {0, 1, -2, 4, 127, -3, 1, 0},
        {0, 0, 0, 2, 127, -1, 0, 0},
        // [1, 2).
        {0, 0, 0, 1, 127, 0, 0, 0},
        {0, 0, 0, -1, 127, 2, 0, 0},
        {0, 0, 1, -3, 127, 4, -1, 0},
        {0, 0, 1, -4, 126, 6, -2, 1},
        {0, 0, 1, -5, 126, 8, -3, 1},
        {0, 0, 1, -6, 125, 11, -4, 1},
        {0, 0, 1, -7, 124, 13, -4, 1},
        {0, 0, 2, -8, 123, 15, -5, 1},
        {0, 0, 2, -9, 122, 18, -6, 1},
        {0, 0, 2, -10, 121, 20, -6, 1},
        {0, 0, 2, -11, 120, 22, -7, 2},
        {0, 0, 2, -12, 119, 25, -8, 2},
        {0, 0, 3, -13, 117, 27, -8, 2},
        {0, 0, 3, -13, 116, 29, -9, 2},
        {0, 0, 3, -14, 114, 32, -10, 3},
        {0, 0, 3, -15, 113, 35, -10, 2},
        {0, 0, 3, -15, 111, 37, -11, 3},
        {0, 0, 3, -16, 109, 40, -11, 3},
        {0, 0, 3, -16, 108, 42, -12, 3},
        {0, 0, 4, -17, 106, 45, -13, 3},
        {0, 0, 4, -17, 104, 47, -13, 3},
        {0, 0, 4, -17, 102, 50, -14, 3},
        {0, 0, 4, -17, 100, 52, -14, 3},
        {0, 0, 4, -18, 98, 55, -15, 4},
        {0, 0, 4, -18, 96, 58, -15, 3},
        {0, 0, 4, -18, 94, 60, -16, 4},
        {0, 0, 4, -18, 91, 63, -16, 4},
        {0, 0, 4, -18, 89, 65, -16, 4},
        {0, 0, 4, -18, 87, 68, -17, 4},
        {0, 0, 4, -18, 85, 70, -17, 4},
        {0, 0, 4, -18, 82, 73, -17, 4},
        {0, 0, 4, -18, 80, 75, -17, 4},
        {0, 0, 4, -18, 78, 78, -18, 4},
        {0, 0, 4, -17, 75, 80, -18, 4},
        {0, 0, 4, -17, 73, 82, -18, 4},
        {0, 0, 4, -17, 70, 85, -18, 4},
        {0, 0, 4, -17, 68, 87, -18, 4},
        {0, 0, 4, -16, 65, 89, -18, 4},
        {0, 0, 4, -16, 63, 91, -18, 4},
        {0, 0, 4, -16, 60, 94, -18, 4},
        {0, 0, 3, -15, 58, 96, -18, 4},
        {0, 0, 4, -15, 55, 98, -18, 4},
        {0, 0, 3, -14, 52, 100, -17, 4},
        {0, 0, 3, -14, 50, 102, -17, 4},
        {0, 0, 3, -13, 47, 104, -17, 4},
        {0, 0, 3, -13, 45, 106, -17, 4},
        {0, 0, 3, -12, 42, 108, -16, 3},
        {0, 0, 3, -11, 40, 109, -16, 3},
        {0, 0, 3, -11, 37, 111, -15, 3},
        {0, 0, 2, -10, 35, 113, -15, 3},
        {0, 0, 3, -10, 32, 114, -14, 3},
        {0, 0, 2, -9, 29, 116, -13, 3},
        {0, 0, 2, -8, 27, 117, -13, 3},
        {0, 0, 2, -8, 25, 119, -12, 2},
        {0, 0, 2, -7, 22, 120, -11, 2},
        {0, 0, 1, -6, 20, 121, -10, 2},
        {0, 0, 1, -6, 18, 122, -9, 2},
        {0, 0, 1, -5, 15, 123, -8, 2},
        {0, 0, 1, -4, 13, 124, -7, 1},
        {0, 0, 1, -4, 11, 125, -6, 1},
        {0, 0, 1, -3, 8, 126, -5, 1},
        {0, 0, 1, -2, 6, 126, -4, 1},
        {0, 0, 0, -1, 4, 127, -3, 1},
        {0, 0, 0, 0, 2, 127, -1, 0},
        // dummy, replicate row index 191.
        {0, 0, 0, 0, 2, 127, -1, 0}};

alignas(16) const int16_t
    kWarpedFilters[3 * kWarpedPixelPrecisionShifts + 1][8] = {
        // [-1, 0).
        {0, 0, 127, 1, 0, 0, 0, 0},
        {0, -1, 127, 2, 0, 0, 0, 0},
        {1, -3, 127, 4, -1, 0, 0, 0},
        {1, -4, 126, 6, -2, 1, 0, 0},
        {1, -5, 126, 8, -3, 1, 0, 0},
        {1, -6, 125, 11, -4, 1, 0, 0},
        {1, -7, 124, 13, -4, 1, 0, 0},
        {2, -8, 123, 15, -5, 1, 0, 0},
        {2, -9, 122, 18, -6, 1, 0, 0},
        {2, -10, 121, 20, -6, 1, 0, 0},
        {2, -11, 120, 22, -7, 2, 0, 0},
        {2, -12, 119, 25, -8, 2, 0, 0},
        {3, -13, 117, 27, -8, 2, 0, 0},
        {3, -13, 116, 29, -9, 2, 0, 0},
        {3, -14, 114, 32, -10, 3, 0, 0},
        {3, -15, 113, 35, -10, 2, 0, 0},
        {3, -15, 111, 37, -11, 3, 0, 0},
        {3, -16, 109, 40, -11, 3, 0, 0},
        {3, -16, 108, 42, -12, 3, 0, 0},
        {4, -17, 106, 45, -13, 3, 0, 0},
        {4, -17, 104, 47, -13, 3, 0, 0},
        {4, -17, 102, 50, -14, 3, 0, 0},
        {4, -17, 100, 52, -14, 3, 0, 0},
        {4, -18, 98, 55, -15, 4, 0, 0},
        {4, -18, 96, 58, -15, 3, 0, 0},
        {4, -18, 94, 60, -16, 4, 0, 0},
        {4, -18, 91, 63, -16, 4, 0, 0},
        {4, -18, 89, 65, -16, 4, 0, 0},
        {4, -18, 87, 68, -17, 4, 0, 0},
        {4, -18, 85, 70, -17, 4, 0, 0},
        {4, -18, 82, 73, -17, 4, 0, 0},
        {4, -18, 80, 75, -17, 4, 0, 0},
        {4, -18, 78, 78, -18, 4, 0, 0},
        {4, -17, 75, 80, -18, 4, 0, 0},
        {4, -17, 73, 82, -18, 4, 0, 0},
        {4, -17, 70, 85, -18, 4, 0, 0},
        {4, -17, 68, 87, -18, 4, 0, 0},
        {4, -16, 65, 89, -18, 4, 0, 0},
        {4, -16, 63, 91, -18, 4, 0, 0},
        {4, -16, 60, 94, -18, 4, 0, 0},
        {3, -15, 58, 96, -18, 4, 0, 0},
        {4, -15, 55, 98, -18, 4, 0, 0},
        {3, -14, 52, 100, -17, 4, 0, 0},
        {3, -14, 50, 102, -17, 4, 0, 0},
        {3, -13, 47, 104, -17, 4, 0, 0},
        {3, -13, 45, 106, -17, 4, 0, 0},
        {3, -12, 42, 108, -16, 3, 0, 0},
        {3, -11, 40, 109, -16, 3, 0, 0},
        {3, -11, 37, 111, -15, 3, 0, 0},
        {2, -10, 35, 113, -15, 3, 0, 0},
        {3, -10, 32, 114, -14, 3, 0, 0},
        {2, -9, 29, 116, -13, 3, 0, 0},
        {2, -8, 27, 117, -13, 3, 0, 0},
        {2, -8, 25, 119, -12, 2, 0, 0},
        {2, -7, 22, 120, -11, 2, 0, 0},
        {1, -6, 20, 121, -10, 2, 0, 0},
        {1, -6, 18, 122, -9, 2, 0, 0},
        {1, -5, 15, 123, -8, 2, 0, 0},
        {1, -4, 13, 124, -7, 1, 0, 0},
        {1, -4, 11, 125, -6, 1, 0, 0},
        {1, -3, 8, 126, -5, 1, 0, 0},
        {1, -2, 6, 126, -4, 1, 0, 0},
        {0, -1, 4, 127, -3, 1, 0, 0},
        {0, 0, 2, 127, -1, 0, 0, 0},
        // [0, 1).
        {0, 0, 0, 127, 1, 0, 0, 0},
        {0, 0, -1, 127, 2, 0, 0, 0},
        {0, 1, -3, 127, 4, -2, 1, 0},
        {0, 1, -5, 127, 6, -2, 1, 0},
        {0, 2, -6, 126, 8, -3, 1, 0},
        {-1, 2, -7, 126, 11, -4, 2, -1},
        {-1, 3, -8, 125, 13, -5, 2, -1},
        {-1, 3, -10, 124, 16, -6, 3, -1},
        {-1, 4, -11, 123, 18, -7, 3, -1},
        {-1, 4, -12, 122, 20, -7, 3, -1},
        {-1, 4, -13, 121, 23, -8, 3, -1},
        {-2, 5, -14, 120, 25, -9, 4, -1},
        {-1, 5, -15, 119, 27, -10, 4, -1},
        {-1, 5, -16, 118, 30, -11, 4, -1},
        {-2, 6, -17, 116, 33, -12, 5, -1},
        {-2, 6, -17, 114, 35, -12, 5, -1},
        {-2, 6, -18, 113, 38, -13, 5, -1},
        {-2, 7, -19, 111, 41, -14, 6, -2},
        {-2, 7, -19, 110, 43, -15, 6, -2},
        {-2, 7, -20, 108, 46, -15, 6, -2},
        {-2, 7, -20, 106, 49, -16, 6, -2},
        {-2, 7, -21, 104, 51, -16, 7, -2},
        {-2, 7, -21, 102, 54, -17, 7, -2},
        {-2, 8, -21, 100, 56, -18, 7, -2},
        {-2, 8, -22, 98, 59, -18, 7, -2},
        {-2, 8, -22, 96, 62, -19, 7, -2},
        {-2, 8, -22, 94, 64, -19, 7, -2},
        {-2, 8, -22, 91, 67, -20, 8, -2},
        {-2, 8, -22, 89, 69, -20, 8, -2},
        {-2, 8, -22, 87, 72, -21, 8, -2},
        {-2, 8, -21, 84, 74, -21, 8, -2},
        {-2, 8, -22, 82, 77, -21, 8, -2},
        {-2, 8, -21, 79, 79, -21, 8, -2},
        {-2, 8, -21, 77, 82, -22, 8, -2},
        {-2, 8, -21, 74, 84, -21, 8, -2},
        {-2, 8, -21, 72, 87, -22, 8, -2},
        {-2, 8, -20, 69, 89, -22, 8, -2},
        {-2, 8, -20, 67, 91, -22, 8, -2},
        {-2, 7, -19, 64, 94, -22, 8, -2},
        {-2, 7, -19, 62, 96, -22, 8, -2},
        {-2, 7, -18, 59, 98, -22, 8, -2},
        {-2, 7, -18, 56, 100, -21, 8, -2},
        {-2, 7, -17, 54, 102, -21, 7, -2},
        {-2, 7, -16, 51, 104, -21, 7, -2},
        {-2, 6, -16, 49, 106, -20, 7, -2},
        {-2, 6, -15, 46, 108, -20, 7, -2},
        {-2, 6, -15, 43, 110, -19, 7, -2},
        {-2, 6, -14, 41, 111, -19, 7, -2},
        {-1, 5, -13, 38, 113, -18, 6, -2},
        {-1, 5, -12, 35, 114, -17, 6, -2},
        {-1, 5, -12, 33, 116, -17, 6, -2},
        {-1, 4, -11, 30, 118, -16, 5, -1},
        {-1, 4, -10, 27, 119, -15, 5, -1},
        {-1, 4, -9, 25, 120, -14, 5, -2},
        {-1, 3, -8, 23, 121, -13, 4, -1},
        {-1, 3, -7, 20, 122, -12, 4, -1},
        {-1, 3, -7, 18, 123, -11, 4, -1},
        {-1, 3, -6, 16, 124, -10, 3, -1},
        {-1, 2, -5, 13, 125, -8, 3, -1},
        {-1, 2, -4, 11, 126, -7, 2, -1},
        {0, 1, -3, 8, 126, -6, 2, 0},
        {0, 1, -2, 6, 127, -5, 1, 0},
        {0, 1, -2, 4, 127, -3, 1, 0},
        {0, 0, 0, 2, 127, -1, 0, 0},
        // [1, 2).
        {0, 0, 0, 1, 127, 0, 0, 0},
        {0, 0, 0, -1, 127, 2, 0, 0},
        {0, 0, 1, -3, 127, 4, -1, 0},
        {0, 0, 1, -4, 126, 6, -2, 1},
        {0, 0, 1, -5, 126, 8, -3, 1},
        {0, 0, 1, -6, 125, 11, -4, 1},
        {0, 0, 1, -7, 124, 13, -4, 1},
        {0, 0, 2, -8, 123, 15, -5, 1},
        {0, 0, 2, -9, 122, 18, -6, 1},
        {0, 0, 2, -10, 121, 20, -6, 1},
        {0, 0, 2, -11, 120, 22, -7, 2},
        {0, 0, 2, -12, 119, 25, -8, 2},
        {0, 0, 3, -13, 117, 27, -8, 2},
        {0, 0, 3, -13, 116, 29, -9, 2},
        {0, 0, 3, -14, 114, 32, -10, 3},
        {0, 0, 3, -15, 113, 35, -10, 2},
        {0, 0, 3, -15, 111, 37, -11, 3},
        {0, 0, 3, -16, 109, 40, -11, 3},
        {0, 0, 3, -16, 108, 42, -12, 3},
        {0, 0, 4, -17, 106, 45, -13, 3},
        {0, 0, 4, -17, 104, 47, -13, 3},
        {0, 0, 4, -17, 102, 50, -14, 3},
        {0, 0, 4, -17, 100, 52, -14, 3},
        {0, 0, 4, -18, 98, 55, -15, 4},
        {0, 0, 4, -18, 96, 58, -15, 3},
        {0, 0, 4, -18, 94, 60, -16, 4},
        {0, 0, 4, -18, 91, 63, -16, 4},
        {0, 0, 4, -18, 89, 65, -16, 4},
        {0, 0, 4, -18, 87, 68, -17, 4},
        {0, 0, 4, -18, 85, 70, -17, 4},
        {0, 0, 4, -18, 82, 73, -17, 4},
        {0, 0, 4, -18, 80, 75, -17, 4},
        {0, 0, 4, -18, 78, 78, -18, 4},
        {0, 0, 4, -17, 75, 80, -18, 4},
        {0, 0, 4, -17, 73, 82, -18, 4},
        {0, 0, 4, -17, 70, 85, -18, 4},
        {0, 0, 4, -17, 68, 87, -18, 4},
        {0, 0, 4, -16, 65, 89, -18, 4},
        {0, 0, 4, -16, 63, 91, -18, 4},
        {0, 0, 4, -16, 60, 94, -18, 4},
        {0, 0, 3, -15, 58, 96, -18, 4},
        {0, 0, 4, -15, 55, 98, -18, 4},
        {0, 0, 3, -14, 52, 100, -17, 4},
        {0, 0, 3, -14, 50, 102, -17, 4},
        {0, 0, 3, -13, 47, 104, -17, 4},
        {0, 0, 3, -13, 45, 106, -17, 4},
        {0, 0, 3, -12, 42, 108, -16, 3},
        {0, 0, 3, -11, 40, 109, -16, 3},
        {0, 0, 3, -11, 37, 111, -15, 3},
        {0, 0, 2, -10, 35, 113, -15, 3},
        {0, 0, 3, -10, 32, 114, -14, 3},
        {0, 0, 2, -9, 29, 116, -13, 3},
        {0, 0, 2, -8, 27, 117, -13, 3},
        {0, 0, 2, -8, 25, 119, -12, 2},
        {0, 0, 2, -7, 22, 120, -11, 2},
        {0, 0, 1, -6, 20, 121, -10, 2},
        {0, 0, 1, -6, 18, 122, -9, 2},
        {0, 0, 1, -5, 15, 123, -8, 2},
        {0, 0, 1, -4, 13, 124, -7, 1},
        {0, 0, 1, -4, 11, 125, -6, 1},
        {0, 0, 1, -3, 8, 126, -5, 1},
        {0, 0, 1, -2, 6, 126, -4, 1},
        {0, 0, 0, -1, 4, 127, -3, 1},
        {0, 0, 0, 0, 2, 127, -1, 0},
        // dummy, replicate row index 191.
        {0, 0, 0, 0, 2, 127, -1, 0}};

// Every value in |kSubPixelFilters| is even. Divide by 2 to simplify
// calculations by reducing the range by 1 bit.
alignas(8) const int8_t kHalfSubPixelFilters[6][16][8] = {
    {{0, 0, 0, 64, 0, 0, 0, 0},
     {0, 1, -3, 63, 4, -1, 0, 0},
     {0, 1, -5, 61, 9, -2, 0, 0},
     {0, 1, -6, 58, 14, -4, 1, 0},
     {0, 1, -7, 55, 19, -5, 1, 0},
     {0, 1, -7, 51, 24, -6, 1, 0},
     {0, 1, -8, 47, 29, -6, 1, 0},
     {0, 1, -7, 42, 33, -6, 1, 0},
     {0, 1, -7, 38, 38, -7, 1, 0},
     {0, 1, -6, 33, 42, -7, 1, 0},
     {0, 1, -6, 29, 47, -8, 1, 0},
     {0, 1, -6, 24, 51, -7, 1, 0},
     {0, 1, -5, 19, 55, -7, 1, 0},
     {0, 1, -4, 14, 58, -6, 1, 0},
     {0, 0, -2, 9, 61, -5, 1, 0},
     {0, 0, -1, 4, 63, -3, 1, 0}},
    {{0, 0, 0, 64, 0, 0, 0, 0},
     {0, 1, 14, 31, 17, 1, 0, 0},
     {0, 0, 13, 31, 18, 2, 0, 0},
     {0, 0, 11, 31, 20, 2, 0, 0},
     {0, 0, 10, 30, 21, 3, 0, 0},
     {0, 0, 9, 29, 22, 4, 0, 0},
     {0, 0, 8, 28, 23, 5, 0, 0},
     {0, -1, 8, 27, 24, 6, 0, 0},
     {0, -1, 7, 26, 26, 7, -1, 0},
     {0, 0, 6, 24, 27, 8, -1, 0},
     {0, 0, 5, 23, 28, 8, 0, 0},
     {0, 0, 4, 22, 29, 9, 0, 0},
     {0, 0, 3, 21, 30, 10, 0, 0},
     {0, 0, 2, 20, 31, 11, 0, 0},
     {0, 0, 2, 18, 31, 13, 0, 0},
     {0, 0, 1, 17, 31, 14, 1, 0}},
    {{0, 0, 0, 64, 0, 0, 0, 0},
     {-1, 1, -3, 63, 4, -1, 1, 0},
     {-1, 3, -6, 62, 8, -3, 2, -1},
     {-1, 4, -9, 60, 13, -5, 3, -1},
     {-2, 5, -11, 58, 19, -7, 3, -1},
     {-2, 5, -11, 54, 24, -9, 4, -1},
     {-2, 5, -12, 50, 30, -10, 4, -1},
     {-2, 5, -12, 45, 35, -11, 5, -1},
     {-2, 6, -12, 40, 40, -12, 6, -2},
     {-1, 5, -11, 35, 45, -12, 5, -2},
     {-1, 4, -10, 30, 50, -12, 5, -2},
     {-1, 4, -9, 24, 54, -11, 5, -2},
     {-1, 3, -7, 19, 58, -11, 5, -2},
     {-1, 3, -5, 13, 60, -9, 4, -1},
     {-1, 2, -3, 8, 62, -6, 3, -1},
     {0, 1, -1, 4, 63, -3, 1, -1}},
    {{0, 0, 0, 64, 0, 0, 0, 0},
     {0, 0, 0, 60, 4, 0, 0, 0},
     {0, 0, 0, 56, 8, 0, 0, 0},
     {0, 0, 0, 52, 12, 0, 0, 0},
     {0, 0, 0, 48, 16, 0, 0, 0},
     {0, 0, 0, 44, 20, 0, 0, 0},
     {0, 0, 0, 40, 24, 0, 0, 0},
     {0, 0, 0, 36, 28, 0, 0, 0},
     {0, 0, 0, 32, 32, 0, 0, 0},
     {0, 0, 0, 28, 36, 0, 0, 0},
     {0, 0, 0, 24, 40, 0, 0, 0},
     {0, 0, 0, 20, 44, 0, 0, 0},
     {0, 0, 0, 16, 48, 0, 0, 0},
     {0, 0, 0, 12, 52, 0, 0, 0},
     {0, 0, 0, 8, 56, 0, 0, 0},
     {0, 0, 0, 4, 60, 0, 0, 0}},
    {{0, 0, 0, 64, 0, 0, 0, 0},
     {0, 0, -2, 63, 4, -1, 0, 0},
     {0, 0, -4, 61, 9, -2, 0, 0},
     {0, 0, -5, 58, 14, -3, 0, 0},
     {0, 0, -6, 55, 19, -4, 0, 0},
     {0, 0, -6, 51, 24, -5, 0, 0},
     {0, 0, -7, 47, 29, -5, 0, 0},
     {0, 0, -6, 42, 33, -5, 0, 0},
     {0, 0, -6, 38, 38, -6, 0, 0},
     {0, 0, -5, 33, 42, -6, 0, 0},
     {0, 0, -5, 29, 47, -7, 0, 0},
     {0, 0, -5, 24, 51, -6, 0, 0},
     {0, 0, -4, 19, 55, -6, 0, 0},
     {0, 0, -3, 14, 58, -5, 0, 0},
     {0, 0, -2, 9, 61, -4, 0, 0},
     {0, 0, -1, 4, 63, -2, 0, 0}},
    {{0, 0, 0, 64, 0, 0, 0, 0},
     {0, 0, 15, 31, 17, 1, 0, 0},
     {0, 0, 13, 31, 18, 2, 0, 0},
     {0, 0, 11, 31, 20, 2, 0, 0},
     {0, 0, 10, 30, 21, 3, 0, 0},
     {0, 0, 9, 29, 22, 4, 0, 0},
     {0, 0, 8, 28, 23, 5, 0, 0},
     {0, 0, 7, 27, 24, 6, 0, 0},
     {0, 0, 6, 26, 26, 6, 0, 0},
     {0, 0, 6, 24, 27, 7, 0, 0},
     {0, 0, 5, 23, 28, 8, 0, 0},
     {0, 0, 4, 22, 29, 9, 0, 0},
     {0, 0, 3, 21, 30, 10, 0, 0},
     {0, 0, 2, 20, 31, 11, 0, 0},
     {0, 0, 2, 18, 31, 13, 0, 0},
     {0, 0, 1, 17, 31, 15, 0, 0}}};

// Absolute values of |kHalfSubPixelFilters|. Used in situations where we know
// the pattern of the signs and account for it in other ways.
const uint8_t kAbsHalfSubPixelFilters[6][16][8] = {
    {{0, 0, 0, 64, 0, 0, 0, 0},
     {0, 1, 3, 63, 4, 1, 0, 0},
     {0, 1, 5, 61, 9, 2, 0, 0},
     {0, 1, 6, 58, 14, 4, 1, 0},
     {0, 1, 7, 55, 19, 5, 1, 0},
     {0, 1, 7, 51, 24, 6, 1, 0},
     {0, 1, 8, 47, 29, 6, 1, 0},
     {0, 1, 7, 42, 33, 6, 1, 0},
     {0, 1, 7, 38, 38, 7, 1, 0},
     {0, 1, 6, 33, 42, 7, 1, 0},
     {0, 1, 6, 29, 47, 8, 1, 0},
     {0, 1, 6, 24, 51, 7, 1, 0},
     {0, 1, 5, 19, 55, 7, 1, 0},
     {0, 1, 4, 14, 58, 6, 1, 0},
     {0, 0, 2, 9, 61, 5, 1, 0},
     {0, 0, 1, 4, 63, 3, 1, 0}},
    {{0, 0, 0, 64, 0, 0, 0, 0},
     {0, 1, 14, 31, 17, 1, 0, 0},
     {0, 0, 13, 31, 18, 2, 0, 0},
     {0, 0, 11, 31, 20, 2, 0, 0},
     {0, 0, 10, 30, 21, 3, 0, 0},
     {0, 0, 9, 29, 22, 4, 0, 0},
     {0, 0, 8, 28, 23, 5, 0, 0},
     {0, 1, 8, 27, 24, 6, 0, 0},
     {0, 1, 7, 26, 26, 7, 1, 0},
     {0, 0, 6, 24, 27, 8, 1, 0},
     {0, 0, 5, 23, 28, 8, 0, 0},
     {0, 0, 4, 22, 29, 9, 0, 0},
     {0, 0, 3, 21, 30, 10, 0, 0},
     {0, 0, 2, 20, 31, 11, 0, 0},
     {0, 0, 2, 18, 31, 13, 0, 0},
     {0, 0, 1, 17, 31, 14, 1, 0}},
    {{0, 0, 0, 64, 0, 0, 0, 0},
     {1, 1, 3, 63, 4, 1, 1, 0},
     {1, 3, 6, 62, 8, 3, 2, 1},
     {1, 4, 9, 60, 13, 5, 3, 1},
     {2, 5, 11, 58, 19, 7, 3, 1},
     {2, 5, 11, 54, 24, 9, 4, 1},
     {2, 5, 12, 50, 30, 10, 4, 1},
     {2, 5, 12, 45, 35, 11, 5, 1},
     {2, 6, 12, 40, 40, 12, 6, 2},
     {1, 5, 11, 35, 45, 12, 5, 2},
     {1, 4, 10, 30, 50, 12, 5, 2},
     {1, 4, 9, 24, 54, 11, 5, 2},
     {1, 3, 7, 19, 58, 11, 5, 2},
     {1, 3, 5, 13, 60, 9, 4, 1},
     {1, 2, 3, 8, 62, 6, 3, 1},
     {0, 1, 1, 4, 63, 3, 1, 1}},
    {{0, 0, 0, 64, 0, 0, 0, 0},
     {0, 0, 0, 60, 4, 0, 0, 0},
     {0, 0, 0, 56, 8, 0, 0, 0},
     {0, 0, 0, 52, 12, 0, 0, 0},
     {0, 0, 0, 48, 16, 0, 0, 0},
     {0, 0, 0, 44, 20, 0, 0, 0},
     {0, 0, 0, 40, 24, 0, 0, 0},
     {0, 0, 0, 36, 28, 0, 0, 0},
     {0, 0, 0, 32, 32, 0, 0, 0},
     {0, 0, 0, 28, 36, 0, 0, 0},
     {0, 0, 0, 24, 40, 0, 0, 0},
     {0, 0, 0, 20, 44, 0, 0, 0},
     {0, 0, 0, 16, 48, 0, 0, 0},
     {0, 0, 0, 12, 52, 0, 0, 0},
     {0, 0, 0, 8, 56, 0, 0, 0},
     {0, 0, 0, 4, 60, 0, 0, 0}},
    {{0, 0, 0, 64, 0, 0, 0, 0},
     {0, 0, 2, 63, 4, 1, 0, 0},
     {0, 0, 4, 61, 9, 2, 0, 0},
     {0, 0, 5, 58, 14, 3, 0, 0},
     {0, 0, 6, 55, 19, 4, 0, 0},
     {0, 0, 6, 51, 24, 5, 0, 0},
     {0, 0, 7, 47, 29, 5, 0, 0},
     {0, 0, 6, 42, 33, 5, 0, 0},
     {0, 0, 6, 38, 38, 6, 0, 0},
     {0, 0, 5, 33, 42, 6, 0, 0},
     {0, 0, 5, 29, 47, 7, 0, 0},
     {0, 0, 5, 24, 51, 6, 0, 0},
     {0, 0, 4, 19, 55, 6, 0, 0},
     {0, 0, 3, 14, 58, 5, 0, 0},
     {0, 0, 2, 9, 61, 4, 0, 0},
     {0, 0, 1, 4, 63, 2, 0, 0}},
    {{0, 0, 0, 64, 0, 0, 0, 0},
     {0, 0, 15, 31, 17, 1, 0, 0},
     {0, 0, 13, 31, 18, 2, 0, 0},
     {0, 0, 11, 31, 20, 2, 0, 0},
     {0, 0, 10, 30, 21, 3, 0, 0},
     {0, 0, 9, 29, 22, 4, 0, 0},
     {0, 0, 8, 28, 23, 5, 0, 0},
     {0, 0, 7, 27, 24, 6, 0, 0},
     {0, 0, 6, 26, 26, 6, 0, 0},
     {0, 0, 6, 24, 27, 7, 0, 0},
     {0, 0, 5, 23, 28, 8, 0, 0},
     {0, 0, 4, 22, 29, 9, 0, 0},
     {0, 0, 3, 21, 30, 10, 0, 0},
     {0, 0, 2, 20, 31, 11, 0, 0},
     {0, 0, 2, 18, 31, 13, 0, 0},
     {0, 0, 1, 17, 31, 15, 0, 0}}};

// 9.3 -- Dr_Intra_Derivative[]
// This is a more compact version of the table from the spec. angle / 2 - 1 is
// used as the lookup. Note angle / 3 - 1 would work too, but the calculation
// becomes more costly.
const int16_t kDirectionalIntraPredictorDerivative[44] = {
    //              Approx angle
    1023, 0,     // 3, ...
    547,         // 6, ...
    372,  0, 0,  // 9, ...
    273,         // 14, ...
    215,  0,     // 17, ...
    178,         // 20, ...
    151,  0,     // 23, ... (113 & 203 are base angles)
    132,         // 26, ...
    116,  0,     // 29, ...
    102,  0,     // 32, ...
    90,          // 36, ...
    80,   0,     // 39, ...
    71,          // 42, ...
    64,   0,     // 45, ... (45 & 135 are base angles)
    57,          // 48, ...
    51,   0,     // 51, ...
    45,   0,     // 54, ...
    40,          // 58, ...
    35,   0,     // 61, ...
    31,          // 64, ...
    27,   0,     // 67, ... (67 & 157 are base angles)
    23,          // 70, ...
    19,   0,     // 73, ...
    15,   0,     // 76, ...
    11,   0,     // 81, ...
    7,           // 84, ...
    3,           // 87, ...
};

const uint8_t kDeblockFilterLevelIndex[kMaxPlanes][kNumLoopFilterTypes] = {
    {0, 1}, {2, 2}, {3, 3}};

}  // namespace libgav1