diff options
Diffstat (limited to 'third_party/aom/av1/common/warped_motion.c')
| -rw-r--r-- | third_party/aom/av1/common/warped_motion.c | 1773 |
1 files changed, 1773 insertions, 0 deletions
diff --git a/third_party/aom/av1/common/warped_motion.c b/third_party/aom/av1/common/warped_motion.c new file mode 100644 index 000000000..9d13dc705 --- /dev/null +++ b/third_party/aom/av1/common/warped_motion.c @@ -0,0 +1,1773 @@ +/* + * Copyright (c) 2016, Alliance for Open Media. All rights reserved + * + * This source code is subject to the terms of the BSD 2 Clause License and + * the Alliance for Open Media Patent License 1.0. If the BSD 2 Clause License + * was not distributed with this source code in the LICENSE file, you can + * obtain it at www.aomedia.org/license/software. If the Alliance for Open + * Media Patent License 1.0 was not distributed with this source code in the + * PATENTS file, you can obtain it at www.aomedia.org/license/patent. + */ + +#include <stdio.h> +#include <stdlib.h> +#include <memory.h> +#include <math.h> +#include <assert.h> + +#include "./av1_rtcd.h" +#include "av1/common/warped_motion.h" + +/* clang-format off */ +static const int error_measure_lut[512] = { + // pow 0.7 + 16384, 16339, 16294, 16249, 16204, 16158, 16113, 16068, + 16022, 15977, 15932, 15886, 15840, 15795, 15749, 15703, + 15657, 15612, 15566, 15520, 15474, 15427, 15381, 15335, + 15289, 15242, 15196, 15149, 15103, 15056, 15010, 14963, + 14916, 14869, 14822, 14775, 14728, 14681, 14634, 14587, + 14539, 14492, 14445, 14397, 14350, 14302, 14254, 14206, + 14159, 14111, 14063, 14015, 13967, 13918, 13870, 13822, + 13773, 13725, 13676, 13628, 13579, 13530, 13481, 13432, + 13383, 13334, 13285, 13236, 13187, 13137, 13088, 13038, + 12988, 12939, 12889, 12839, 12789, 12739, 12689, 12639, + 12588, 12538, 12487, 12437, 12386, 12335, 12285, 12234, + 12183, 12132, 12080, 12029, 11978, 11926, 11875, 11823, + 11771, 11719, 11667, 11615, 11563, 11511, 11458, 11406, + 11353, 11301, 11248, 11195, 11142, 11089, 11036, 10982, + 10929, 10875, 10822, 10768, 10714, 10660, 10606, 10552, + 10497, 10443, 10388, 10333, 10279, 10224, 10168, 10113, + 10058, 10002, 9947, 9891, 9835, 9779, 9723, 9666, + 9610, 9553, 9497, 9440, 9383, 9326, 9268, 9211, + 9153, 9095, 9037, 8979, 8921, 8862, 8804, 8745, + 8686, 8627, 8568, 8508, 8449, 8389, 8329, 8269, + 8208, 8148, 8087, 8026, 7965, 7903, 7842, 7780, + 7718, 7656, 7593, 7531, 7468, 7405, 7341, 7278, + 7214, 7150, 7086, 7021, 6956, 6891, 6826, 6760, + 6695, 6628, 6562, 6495, 6428, 6361, 6293, 6225, + 6157, 6089, 6020, 5950, 5881, 5811, 5741, 5670, + 5599, 5527, 5456, 5383, 5311, 5237, 5164, 5090, + 5015, 4941, 4865, 4789, 4713, 4636, 4558, 4480, + 4401, 4322, 4242, 4162, 4080, 3998, 3916, 3832, + 3748, 3663, 3577, 3490, 3402, 3314, 3224, 3133, + 3041, 2948, 2854, 2758, 2661, 2562, 2461, 2359, + 2255, 2148, 2040, 1929, 1815, 1698, 1577, 1452, + 1323, 1187, 1045, 894, 731, 550, 339, 0, + 339, 550, 731, 894, 1045, 1187, 1323, 1452, + 1577, 1698, 1815, 1929, 2040, 2148, 2255, 2359, + 2461, 2562, 2661, 2758, 2854, 2948, 3041, 3133, + 3224, 3314, 3402, 3490, 3577, 3663, 3748, 3832, + 3916, 3998, 4080, 4162, 4242, 4322, 4401, 4480, + 4558, 4636, 4713, 4789, 4865, 4941, 5015, 5090, + 5164, 5237, 5311, 5383, 5456, 5527, 5599, 5670, + 5741, 5811, 5881, 5950, 6020, 6089, 6157, 6225, + 6293, 6361, 6428, 6495, 6562, 6628, 6695, 6760, + 6826, 6891, 6956, 7021, 7086, 7150, 7214, 7278, + 7341, 7405, 7468, 7531, 7593, 7656, 7718, 7780, + 7842, 7903, 7965, 8026, 8087, 8148, 8208, 8269, + 8329, 8389, 8449, 8508, 8568, 8627, 8686, 8745, + 8804, 8862, 8921, 8979, 9037, 9095, 9153, 9211, + 9268, 9326, 9383, 9440, 9497, 9553, 9610, 9666, + 9723, 9779, 9835, 9891, 9947, 10002, 10058, 10113, + 10168, 10224, 10279, 10333, 10388, 10443, 10497, 10552, + 10606, 10660, 10714, 10768, 10822, 10875, 10929, 10982, + 11036, 11089, 11142, 11195, 11248, 11301, 11353, 11406, + 11458, 11511, 11563, 11615, 11667, 11719, 11771, 11823, + 11875, 11926, 11978, 12029, 12080, 12132, 12183, 12234, + 12285, 12335, 12386, 12437, 12487, 12538, 12588, 12639, + 12689, 12739, 12789, 12839, 12889, 12939, 12988, 13038, + 13088, 13137, 13187, 13236, 13285, 13334, 13383, 13432, + 13481, 13530, 13579, 13628, 13676, 13725, 13773, 13822, + 13870, 13918, 13967, 14015, 14063, 14111, 14159, 14206, + 14254, 14302, 14350, 14397, 14445, 14492, 14539, 14587, + 14634, 14681, 14728, 14775, 14822, 14869, 14916, 14963, + 15010, 15056, 15103, 15149, 15196, 15242, 15289, 15335, + 15381, 15427, 15474, 15520, 15566, 15612, 15657, 15703, + 15749, 15795, 15840, 15886, 15932, 15977, 16022, 16068, + 16113, 16158, 16204, 16249, 16294, 16339, 16384, 16384, +}; +/* clang-format on */ + +static ProjectPointsFunc get_project_points_type(TransformationType type) { + switch (type) { + case HOMOGRAPHY: return project_points_homography; + case AFFINE: return project_points_affine; + case ROTZOOM: return project_points_rotzoom; + case TRANSLATION: return project_points_translation; + default: assert(0); return NULL; + } +} + +void project_points_translation(int32_t *mat, int *points, int *proj, + const int n, const int stride_points, + const int stride_proj, const int subsampling_x, + const int subsampling_y) { + int i; + for (i = 0; i < n; ++i) { + const int x = *(points++), y = *(points++); + if (subsampling_x) + *(proj++) = ROUND_POWER_OF_TWO_SIGNED( + ((x * (1 << (WARPEDMODEL_PREC_BITS + 1))) + mat[0]), + WARPEDDIFF_PREC_BITS + 1); + else + *(proj++) = ROUND_POWER_OF_TWO_SIGNED( + ((x * (1 << WARPEDMODEL_PREC_BITS)) + mat[0]), WARPEDDIFF_PREC_BITS); + if (subsampling_y) + *(proj++) = ROUND_POWER_OF_TWO_SIGNED( + ((y * (1 << (WARPEDMODEL_PREC_BITS + 1))) + mat[1]), + WARPEDDIFF_PREC_BITS + 1); + else + *(proj++) = ROUND_POWER_OF_TWO_SIGNED( + ((y * (1 << WARPEDMODEL_PREC_BITS))) + mat[1], WARPEDDIFF_PREC_BITS); + points += stride_points - 2; + proj += stride_proj - 2; + } +} + +void project_points_rotzoom(int32_t *mat, int *points, int *proj, const int n, + const int stride_points, const int stride_proj, + const int subsampling_x, const int subsampling_y) { + int i; + for (i = 0; i < n; ++i) { + const int x = *(points++), y = *(points++); + if (subsampling_x) + *(proj++) = ROUND_POWER_OF_TWO_SIGNED( + mat[2] * 2 * x + mat[3] * 2 * y + mat[0] + + (mat[2] + mat[3] - (1 << WARPEDMODEL_PREC_BITS)) / 2, + WARPEDDIFF_PREC_BITS + 1); + else + *(proj++) = ROUND_POWER_OF_TWO_SIGNED(mat[2] * x + mat[3] * y + mat[0], + WARPEDDIFF_PREC_BITS); + if (subsampling_y) + *(proj++) = ROUND_POWER_OF_TWO_SIGNED( + -mat[3] * 2 * x + mat[2] * 2 * y + mat[1] + + (-mat[3] + mat[2] - (1 << WARPEDMODEL_PREC_BITS)) / 2, + WARPEDDIFF_PREC_BITS + 1); + else + *(proj++) = ROUND_POWER_OF_TWO_SIGNED(-mat[3] * x + mat[2] * y + mat[1], + WARPEDDIFF_PREC_BITS); + points += stride_points - 2; + proj += stride_proj - 2; + } +} + +void project_points_affine(int32_t *mat, int *points, int *proj, const int n, + const int stride_points, const int stride_proj, + const int subsampling_x, const int subsampling_y) { + int i; + for (i = 0; i < n; ++i) { + const int x = *(points++), y = *(points++); + if (subsampling_x) + *(proj++) = ROUND_POWER_OF_TWO_SIGNED( + mat[2] * 2 * x + mat[3] * 2 * y + mat[0] + + (mat[2] + mat[3] - (1 << WARPEDMODEL_PREC_BITS)) / 2, + WARPEDDIFF_PREC_BITS + 1); + else + *(proj++) = ROUND_POWER_OF_TWO_SIGNED(mat[2] * x + mat[3] * y + mat[0], + WARPEDDIFF_PREC_BITS); + if (subsampling_y) + *(proj++) = ROUND_POWER_OF_TWO_SIGNED( + mat[4] * 2 * x + mat[5] * 2 * y + mat[1] + + (mat[4] + mat[5] - (1 << WARPEDMODEL_PREC_BITS)) / 2, + WARPEDDIFF_PREC_BITS + 1); + else + *(proj++) = ROUND_POWER_OF_TWO_SIGNED(mat[4] * x + mat[5] * y + mat[1], + WARPEDDIFF_PREC_BITS); + points += stride_points - 2; + proj += stride_proj - 2; + } +} + +void project_points_hortrapezoid(int32_t *mat, int *points, int *proj, + const int n, const int stride_points, + const int stride_proj, const int subsampling_x, + const int subsampling_y) { + int i; + int64_t x, y, Z; + int64_t xp, yp; + for (i = 0; i < n; ++i) { + x = *(points++), y = *(points++); + x = (subsampling_x ? 4 * x + 1 : 2 * x); + y = (subsampling_y ? 4 * y + 1 : 2 * y); + + Z = (mat[7] * y + (1 << (WARPEDMODEL_ROW3HOMO_PREC_BITS + 1))); + xp = (mat[2] * x + mat[3] * y + 2 * mat[0]) * + (1 << (WARPEDPIXEL_PREC_BITS + WARPEDMODEL_ROW3HOMO_PREC_BITS - + WARPEDMODEL_PREC_BITS)); + yp = (mat[5] * y + 2 * mat[1]) * + (1 << (WARPEDPIXEL_PREC_BITS + WARPEDMODEL_ROW3HOMO_PREC_BITS - + WARPEDMODEL_PREC_BITS)); + + xp = xp > 0 ? (xp + Z / 2) / Z : (xp - Z / 2) / Z; + yp = yp > 0 ? (yp + Z / 2) / Z : (yp - Z / 2) / Z; + + if (subsampling_x) xp = (xp - (1 << (WARPEDPIXEL_PREC_BITS - 1))) / 2; + if (subsampling_y) yp = (yp - (1 << (WARPEDPIXEL_PREC_BITS - 1))) / 2; + *(proj++) = (int)xp; + *(proj++) = (int)yp; + + points += stride_points - 2; + proj += stride_proj - 2; + } +} + +void project_points_vertrapezoid(int32_t *mat, int *points, int *proj, + const int n, const int stride_points, + const int stride_proj, const int subsampling_x, + const int subsampling_y) { + int i; + int64_t x, y, Z; + int64_t xp, yp; + for (i = 0; i < n; ++i) { + x = *(points++), y = *(points++); + x = (subsampling_x ? 4 * x + 1 : 2 * x); + y = (subsampling_y ? 4 * y + 1 : 2 * y); + + Z = (mat[6] * x + (1 << (WARPEDMODEL_ROW3HOMO_PREC_BITS + 1))); + xp = (mat[2] * x + 2 * mat[0]) * + (1 << (WARPEDPIXEL_PREC_BITS + WARPEDMODEL_ROW3HOMO_PREC_BITS - + WARPEDMODEL_PREC_BITS)); + yp = (mat[4] * x + mat[5] * y + 2 * mat[1]) * + (1 << (WARPEDPIXEL_PREC_BITS + WARPEDMODEL_ROW3HOMO_PREC_BITS - + WARPEDMODEL_PREC_BITS)); + + xp = xp > 0 ? (xp + Z / 2) / Z : (xp - Z / 2) / Z; + yp = yp > 0 ? (yp + Z / 2) / Z : (yp - Z / 2) / Z; + + if (subsampling_x) xp = (xp - (1 << (WARPEDPIXEL_PREC_BITS - 1))) / 2; + if (subsampling_y) yp = (yp - (1 << (WARPEDPIXEL_PREC_BITS - 1))) / 2; + *(proj++) = (int)xp; + *(proj++) = (int)yp; + + points += stride_points - 2; + proj += stride_proj - 2; + } +} + +void project_points_homography(int32_t *mat, int *points, int *proj, + const int n, const int stride_points, + const int stride_proj, const int subsampling_x, + const int subsampling_y) { + int i; + int64_t x, y, Z; + int64_t xp, yp; + for (i = 0; i < n; ++i) { + x = *(points++), y = *(points++); + x = (subsampling_x ? 4 * x + 1 : 2 * x); + y = (subsampling_y ? 4 * y + 1 : 2 * y); + + Z = (mat[6] * x + mat[7] * y + (1 << (WARPEDMODEL_ROW3HOMO_PREC_BITS + 1))); + xp = (mat[2] * x + mat[3] * y + 2 * mat[0]) * + (1 << (WARPEDPIXEL_PREC_BITS + WARPEDMODEL_ROW3HOMO_PREC_BITS - + WARPEDMODEL_PREC_BITS)); + yp = (mat[4] * x + mat[5] * y + 2 * mat[1]) * + (1 << (WARPEDPIXEL_PREC_BITS + WARPEDMODEL_ROW3HOMO_PREC_BITS - + WARPEDMODEL_PREC_BITS)); + + xp = xp > 0 ? (xp + Z / 2) / Z : (xp - Z / 2) / Z; + yp = yp > 0 ? (yp + Z / 2) / Z : (yp - Z / 2) / Z; + + if (subsampling_x) xp = (xp - (1 << (WARPEDPIXEL_PREC_BITS - 1))) / 2; + if (subsampling_y) yp = (yp - (1 << (WARPEDPIXEL_PREC_BITS - 1))) / 2; + *(proj++) = (int)xp; + *(proj++) = (int)yp; + + points += stride_points - 2; + proj += stride_proj - 2; + } +} + +// 'points' are at original scale, output 'proj's are scaled up by +// 1 << WARPEDPIXEL_PREC_BITS +void project_points(WarpedMotionParams *wm_params, int *points, int *proj, + const int n, const int stride_points, const int stride_proj, + const int subsampling_x, const int subsampling_y) { + switch (wm_params->wmtype) { + case AFFINE: + project_points_affine(wm_params->wmmat, points, proj, n, stride_points, + stride_proj, subsampling_x, subsampling_y); + break; + case ROTZOOM: + project_points_rotzoom(wm_params->wmmat, points, proj, n, stride_points, + stride_proj, subsampling_x, subsampling_y); + break; + case HOMOGRAPHY: + project_points_homography(wm_params->wmmat, points, proj, n, + stride_points, stride_proj, subsampling_x, + subsampling_y); + break; + default: assert(0 && "Invalid warped motion type!"); return; + } +} + +static const int16_t + filter_ntap[WARPEDPIXEL_PREC_SHIFTS][WARPEDPIXEL_FILTER_TAPS] = { +#if WARPEDPIXEL_PREC_BITS == 6 + { 0, 0, 128, 0, 0, 0 }, { 0, -1, 128, 2, -1, 0 }, + { 1, -3, 127, 4, -1, 0 }, { 1, -4, 126, 6, -2, 1 }, + { 1, -5, 126, 8, -3, 1 }, { 1, -6, 125, 11, -4, 1 }, + { 1, -7, 124, 13, -4, 1 }, { 2, -8, 123, 15, -5, 1 }, + { 2, -9, 122, 18, -6, 1 }, { 2, -10, 121, 20, -6, 1 }, + { 2, -11, 120, 22, -7, 2 }, { 2, -12, 119, 25, -8, 2 }, + { 3, -13, 117, 27, -8, 2 }, { 3, -13, 116, 29, -9, 2 }, + { 3, -14, 114, 32, -10, 3 }, { 3, -15, 113, 35, -10, 2 }, + { 3, -15, 111, 37, -11, 3 }, { 3, -16, 109, 40, -11, 3 }, + { 3, -16, 108, 42, -12, 3 }, { 4, -17, 106, 45, -13, 3 }, + { 4, -17, 104, 47, -13, 3 }, { 4, -17, 102, 50, -14, 3 }, + { 4, -17, 100, 52, -14, 3 }, { 4, -18, 98, 55, -15, 4 }, + { 4, -18, 96, 58, -15, 3 }, { 4, -18, 94, 60, -16, 4 }, + { 4, -18, 91, 63, -16, 4 }, { 4, -18, 89, 65, -16, 4 }, + { 4, -18, 87, 68, -17, 4 }, { 4, -18, 85, 70, -17, 4 }, + { 4, -18, 82, 73, -17, 4 }, { 4, -18, 80, 75, -17, 4 }, + { 4, -18, 78, 78, -18, 4 }, { 4, -17, 75, 80, -18, 4 }, + { 4, -17, 73, 82, -18, 4 }, { 4, -17, 70, 85, -18, 4 }, + { 4, -17, 68, 87, -18, 4 }, { 4, -16, 65, 89, -18, 4 }, + { 4, -16, 63, 91, -18, 4 }, { 4, -16, 60, 94, -18, 4 }, + { 3, -15, 58, 96, -18, 4 }, { 4, -15, 55, 98, -18, 4 }, + { 3, -14, 52, 100, -17, 4 }, { 3, -14, 50, 102, -17, 4 }, + { 3, -13, 47, 104, -17, 4 }, { 3, -13, 45, 106, -17, 4 }, + { 3, -12, 42, 108, -16, 3 }, { 3, -11, 40, 109, -16, 3 }, + { 3, -11, 37, 111, -15, 3 }, { 2, -10, 35, 113, -15, 3 }, + { 3, -10, 32, 114, -14, 3 }, { 2, -9, 29, 116, -13, 3 }, + { 2, -8, 27, 117, -13, 3 }, { 2, -8, 25, 119, -12, 2 }, + { 2, -7, 22, 120, -11, 2 }, { 1, -6, 20, 121, -10, 2 }, + { 1, -6, 18, 122, -9, 2 }, { 1, -5, 15, 123, -8, 2 }, + { 1, -4, 13, 124, -7, 1 }, { 1, -4, 11, 125, -6, 1 }, + { 1, -3, 8, 126, -5, 1 }, { 1, -2, 6, 126, -4, 1 }, + { 0, -1, 4, 127, -3, 1 }, { 0, -1, 2, 128, -1, 0 }, +#elif WARPEDPIXEL_PREC_BITS == 5 + { 0, 0, 128, 0, 0, 0 }, { 1, -3, 127, 4, -1, 0 }, + { 1, -5, 126, 8, -3, 1 }, { 1, -7, 124, 13, -4, 1 }, + { 2, -9, 122, 18, -6, 1 }, { 2, -11, 120, 22, -7, 2 }, + { 3, -13, 117, 27, -8, 2 }, { 3, -14, 114, 32, -10, 3 }, + { 3, -15, 111, 37, -11, 3 }, { 3, -16, 108, 42, -12, 3 }, + { 4, -17, 104, 47, -13, 3 }, { 4, -17, 100, 52, -14, 3 }, + { 4, -18, 96, 58, -15, 3 }, { 4, -18, 91, 63, -16, 4 }, + { 4, -18, 87, 68, -17, 4 }, { 4, -18, 82, 73, -17, 4 }, + { 4, -18, 78, 78, -18, 4 }, { 4, -17, 73, 82, -18, 4 }, + { 4, -17, 68, 87, -18, 4 }, { 4, -16, 63, 91, -18, 4 }, + { 3, -15, 58, 96, -18, 4 }, { 3, -14, 52, 100, -17, 4 }, + { 3, -13, 47, 104, -17, 4 }, { 3, -12, 42, 108, -16, 3 }, + { 3, -11, 37, 111, -15, 3 }, { 3, -10, 32, 114, -14, 3 }, + { 2, -8, 27, 117, -13, 3 }, { 2, -7, 22, 120, -11, 2 }, + { 1, -6, 18, 122, -9, 2 }, { 1, -4, 13, 124, -7, 1 }, + { 1, -3, 8, 126, -5, 1 }, { 0, -1, 4, 127, -3, 1 }, +#endif // WARPEDPIXEL_PREC_BITS == 6 + }; + +static int32_t do_ntap_filter(int32_t *p, int x) { + int i; + int32_t sum = 0; + for (i = 0; i < WARPEDPIXEL_FILTER_TAPS; ++i) { + sum += p[i - WARPEDPIXEL_FILTER_TAPS / 2 + 1] * filter_ntap[x][i]; + } + return sum; +} + +static int32_t do_cubic_filter(int32_t *p, int x) { + if (x == 0) { + return p[0] * (1 << WARPEDPIXEL_FILTER_BITS); + } else if (x == (1 << WARPEDPIXEL_PREC_BITS)) { + return p[1] * (1 << WARPEDPIXEL_FILTER_BITS); + } else { + const int64_t v1 = (int64_t)x * x * x * (3 * (p[0] - p[1]) + p[2] - p[-1]); + const int64_t v2 = + (int64_t)x * x * (2 * p[-1] - 5 * p[0] + 4 * p[1] - p[2]); + const int64_t v3 = x * (p[1] - p[-1]); + const int64_t v4 = 2 * p[0]; + return (int32_t)ROUND_POWER_OF_TWO_SIGNED( + (v4 * (1 << (3 * WARPEDPIXEL_PREC_BITS))) + + (v3 * (1 << (2 * WARPEDPIXEL_PREC_BITS))) + + (v2 * (1 << WARPEDPIXEL_PREC_BITS)) + v1, + 3 * WARPEDPIXEL_PREC_BITS + 1 - WARPEDPIXEL_FILTER_BITS); + } +} + +static INLINE void get_subcolumn(int taps, uint8_t *ref, int32_t *col, + int stride, int x, int y_start) { + int i; + for (i = 0; i < taps; ++i) { + col[i] = ref[(i + y_start) * stride + x]; + } +} + +static uint8_t bi_ntap_filter(uint8_t *ref, int x, int y, int stride) { + int32_t val, arr[WARPEDPIXEL_FILTER_TAPS]; + int k; + int i = (int)x >> WARPEDPIXEL_PREC_BITS; + int j = (int)y >> WARPEDPIXEL_PREC_BITS; + for (k = 0; k < WARPEDPIXEL_FILTER_TAPS; ++k) { + int32_t arr_temp[WARPEDPIXEL_FILTER_TAPS]; + get_subcolumn(WARPEDPIXEL_FILTER_TAPS, ref, arr_temp, stride, + i + k + 1 - WARPEDPIXEL_FILTER_TAPS / 2, + j + 1 - WARPEDPIXEL_FILTER_TAPS / 2); + arr[k] = do_ntap_filter(arr_temp + WARPEDPIXEL_FILTER_TAPS / 2 - 1, + y - (j * (1 << WARPEDPIXEL_PREC_BITS))); + } + val = do_ntap_filter(arr + WARPEDPIXEL_FILTER_TAPS / 2 - 1, + x - (i * (1 << WARPEDPIXEL_PREC_BITS))); + val = ROUND_POWER_OF_TWO_SIGNED(val, WARPEDPIXEL_FILTER_BITS * 2); + return (uint8_t)clip_pixel(val); +} + +static uint8_t bi_cubic_filter(uint8_t *ref, int x, int y, int stride) { + int32_t val, arr[4]; + int k; + int i = (int)x >> WARPEDPIXEL_PREC_BITS; + int j = (int)y >> WARPEDPIXEL_PREC_BITS; + for (k = 0; k < 4; ++k) { + int32_t arr_temp[4]; + get_subcolumn(4, ref, arr_temp, stride, i + k - 1, j - 1); + arr[k] = + do_cubic_filter(arr_temp + 1, y - (j * (1 << WARPEDPIXEL_PREC_BITS))); + } + val = do_cubic_filter(arr + 1, x - (i * (1 << WARPEDPIXEL_PREC_BITS))); + val = ROUND_POWER_OF_TWO_SIGNED(val, WARPEDPIXEL_FILTER_BITS * 2); + return (uint8_t)clip_pixel(val); +} + +static uint8_t bi_linear_filter(uint8_t *ref, int x, int y, int stride) { + const int ix = x >> WARPEDPIXEL_PREC_BITS; + const int iy = y >> WARPEDPIXEL_PREC_BITS; + const int sx = x - (ix * (1 << WARPEDPIXEL_PREC_BITS)); + const int sy = y - (iy * (1 << WARPEDPIXEL_PREC_BITS)); + int32_t val; + val = ROUND_POWER_OF_TWO_SIGNED( + ref[iy * stride + ix] * (WARPEDPIXEL_PREC_SHIFTS - sy) * + (WARPEDPIXEL_PREC_SHIFTS - sx) + + ref[iy * stride + ix + 1] * (WARPEDPIXEL_PREC_SHIFTS - sy) * sx + + ref[(iy + 1) * stride + ix] * sy * (WARPEDPIXEL_PREC_SHIFTS - sx) + + ref[(iy + 1) * stride + ix + 1] * sy * sx, + WARPEDPIXEL_PREC_BITS * 2); + return (uint8_t)clip_pixel(val); +} + +static uint8_t warp_interpolate(uint8_t *ref, int x, int y, int width, + int height, int stride) { + int ix = x >> WARPEDPIXEL_PREC_BITS; + int iy = y >> WARPEDPIXEL_PREC_BITS; + int sx = x - (ix * (1 << WARPEDPIXEL_PREC_BITS)); + int sy = y - (iy * (1 << WARPEDPIXEL_PREC_BITS)); + int32_t v; + + if (ix < 0 && iy < 0) + return ref[0]; + else if (ix < 0 && iy >= height - 1) + return ref[(height - 1) * stride]; + else if (ix >= width - 1 && iy < 0) + return ref[width - 1]; + else if (ix >= width - 1 && iy >= height - 1) + return ref[(height - 1) * stride + (width - 1)]; + else if (ix < 0) { + v = ROUND_POWER_OF_TWO_SIGNED( + ref[iy * stride] * (WARPEDPIXEL_PREC_SHIFTS - sy) + + ref[(iy + 1) * stride] * sy, + WARPEDPIXEL_PREC_BITS); + return clip_pixel(v); + } else if (iy < 0) { + v = ROUND_POWER_OF_TWO_SIGNED( + ref[ix] * (WARPEDPIXEL_PREC_SHIFTS - sx) + ref[ix + 1] * sx, + WARPEDPIXEL_PREC_BITS); + return clip_pixel(v); + } else if (ix >= width - 1) { + v = ROUND_POWER_OF_TWO_SIGNED( + ref[iy * stride + width - 1] * (WARPEDPIXEL_PREC_SHIFTS - sy) + + ref[(iy + 1) * stride + width - 1] * sy, + WARPEDPIXEL_PREC_BITS); + return clip_pixel(v); + } else if (iy >= height - 1) { + v = ROUND_POWER_OF_TWO_SIGNED( + ref[(height - 1) * stride + ix] * (WARPEDPIXEL_PREC_SHIFTS - sx) + + ref[(height - 1) * stride + ix + 1] * sx, + WARPEDPIXEL_PREC_BITS); + return clip_pixel(v); + } else if (ix >= WARPEDPIXEL_FILTER_TAPS / 2 - 1 && + iy >= WARPEDPIXEL_FILTER_TAPS / 2 - 1 && + ix < width - WARPEDPIXEL_FILTER_TAPS / 2 && + iy < height - WARPEDPIXEL_FILTER_TAPS / 2) { + return bi_ntap_filter(ref, x, y, stride); + } else if (ix >= 1 && iy >= 1 && ix < width - 2 && iy < height - 2) { + return bi_cubic_filter(ref, x, y, stride); + } else { + return bi_linear_filter(ref, x, y, stride); + } +} + +// For warping, we really use a 6-tap filter, but we do blocks of 8 pixels +// at a time. The zoom/rotation/shear in the model are applied to the +// "fractional" position of each pixel, which therefore varies within +// [-1, 2) * WARPEDPIXEL_PREC_SHIFTS. +// We need an extra 2 taps to fit this in, for a total of 8 taps. +/* clang-format off */ +const int16_t warped_filter[WARPEDPIXEL_PREC_SHIFTS * 3 + 1][8] = { +#if WARPEDPIXEL_PREC_BITS == 6 + // [-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 }, + +#elif WARPEDPIXEL_PREC_BITS == 5 + // [-1, 0) + {0, 0, 127, 1, 0, 0, 0, 0}, {1, -3, 127, 4, -1, 0, 0, 0}, + {1, -5, 126, 8, -3, 1, 0, 0}, {1, -7, 124, 13, -4, 1, 0, 0}, + {2, -9, 122, 18, -6, 1, 0, 0}, {2, -11, 120, 22, -7, 2, 0, 0}, + {3, -13, 117, 27, -8, 2, 0, 0}, {3, -14, 114, 32, -10, 3, 0, 0}, + {3, -15, 111, 37, -11, 3, 0, 0}, {3, -16, 108, 42, -12, 3, 0, 0}, + {4, -17, 104, 47, -13, 3, 0, 0}, {4, -17, 100, 52, -14, 3, 0, 0}, + {4, -18, 96, 58, -15, 3, 0, 0}, {4, -18, 91, 63, -16, 4, 0, 0}, + {4, -18, 87, 68, -17, 4, 0, 0}, {4, -18, 82, 73, -17, 4, 0, 0}, + {4, -18, 78, 78, -18, 4, 0, 0}, {4, -17, 73, 82, -18, 4, 0, 0}, + {4, -17, 68, 87, -18, 4, 0, 0}, {4, -16, 63, 91, -18, 4, 0, 0}, + {3, -15, 58, 96, -18, 4, 0, 0}, {3, -14, 52, 100, -17, 4, 0, 0}, + {3, -13, 47, 104, -17, 4, 0, 0}, {3, -12, 42, 108, -16, 3, 0, 0}, + {3, -11, 37, 111, -15, 3, 0, 0}, {3, -10, 32, 114, -14, 3, 0, 0}, + {2, -8, 27, 117, -13, 3, 0, 0}, {2, -7, 22, 120, -11, 2, 0, 0}, + {1, -6, 18, 122, -9, 2, 0, 0}, {1, -4, 13, 124, -7, 1, 0, 0}, + {1, -3, 8, 126, -5, 1, 0, 0}, {0, -1, 4, 127, -3, 1, 0, 0}, + // [0, 1) + { 0, 0, 0, 127, 1, 0, 0, 0}, { 0, 1, -3, 127, 4, -2, 1, 0}, + { 0, 2, -6, 126, 8, -3, 1, 0}, {-1, 3, -8, 125, 13, -5, 2, -1}, + {-1, 4, -11, 123, 18, -7, 3, -1}, {-1, 4, -13, 121, 23, -8, 3, -1}, + {-1, 5, -15, 119, 27, -10, 4, -1}, {-2, 6, -17, 116, 33, -12, 5, -1}, + {-2, 6, -18, 113, 38, -13, 5, -1}, {-2, 7, -19, 110, 43, -15, 6, -2}, + {-2, 7, -20, 106, 49, -16, 6, -2}, {-2, 7, -21, 102, 54, -17, 7, -2}, + {-2, 8, -22, 98, 59, -18, 7, -2}, {-2, 8, -22, 94, 64, -19, 7, -2}, + {-2, 8, -22, 89, 69, -20, 8, -2}, {-2, 8, -21, 84, 74, -21, 8, -2}, + {-2, 8, -21, 79, 79, -21, 8, -2}, {-2, 8, -21, 74, 84, -21, 8, -2}, + {-2, 8, -20, 69, 89, -22, 8, -2}, {-2, 7, -19, 64, 94, -22, 8, -2}, + {-2, 7, -18, 59, 98, -22, 8, -2}, {-2, 7, -17, 54, 102, -21, 7, -2}, + {-2, 6, -16, 49, 106, -20, 7, -2}, {-2, 6, -15, 43, 110, -19, 7, -2}, + {-1, 5, -13, 38, 113, -18, 6, -2}, {-1, 5, -12, 33, 116, -17, 6, -2}, + {-1, 4, -10, 27, 119, -15, 5, -1}, {-1, 3, -8, 23, 121, -13, 4, -1}, + {-1, 3, -7, 18, 123, -11, 4, -1}, {-1, 2, -5, 13, 125, -8, 3, -1}, + { 0, 1, -3, 8, 126, -6, 2, 0}, { 0, 1, -2, 4, 127, -3, 1, 0}, + // [1, 2) + {0, 0, 0, 1, 127, 0, 0, 0}, {0, 0, 1, -3, 127, 4, -1, 0}, + {0, 0, 1, -5, 126, 8, -3, 1}, {0, 0, 1, -7, 124, 13, -4, 1}, + {0, 0, 2, -9, 122, 18, -6, 1}, {0, 0, 2, -11, 120, 22, -7, 2}, + {0, 0, 3, -13, 117, 27, -8, 2}, {0, 0, 3, -14, 114, 32, -10, 3}, + {0, 0, 3, -15, 111, 37, -11, 3}, {0, 0, 3, -16, 108, 42, -12, 3}, + {0, 0, 4, -17, 104, 47, -13, 3}, {0, 0, 4, -17, 100, 52, -14, 3}, + {0, 0, 4, -18, 96, 58, -15, 3}, {0, 0, 4, -18, 91, 63, -16, 4}, + {0, 0, 4, -18, 87, 68, -17, 4}, {0, 0, 4, -18, 82, 73, -17, 4}, + {0, 0, 4, -18, 78, 78, -18, 4}, {0, 0, 4, -17, 73, 82, -18, 4}, + {0, 0, 4, -17, 68, 87, -18, 4}, {0, 0, 4, -16, 63, 91, -18, 4}, + {0, 0, 3, -15, 58, 96, -18, 4}, {0, 0, 3, -14, 52, 100, -17, 4}, + {0, 0, 3, -13, 47, 104, -17, 4}, {0, 0, 3, -12, 42, 108, -16, 3}, + {0, 0, 3, -11, 37, 111, -15, 3}, {0, 0, 3, -10, 32, 114, -14, 3}, + {0, 0, 2, -8, 27, 117, -13, 3}, {0, 0, 2, -7, 22, 120, -11, 2}, + {0, 0, 1, -6, 18, 122, -9, 2}, {0, 0, 1, -4, 13, 124, -7, 1}, + {0, 0, 1, -3, 8, 126, -5, 1}, {0, 0, 0, -1, 4, 127, -3, 1}, + +#endif // WARPEDPIXEL_PREC_BITS == 6 + + // dummy + { 0, 0, 0, 0, 1, 127, 0, 0 }, +}; + +/* clang-format on */ + +#define DIV_LUT_PREC_BITS 14 +#define DIV_LUT_BITS 8 +#define DIV_LUT_NUM (1 << DIV_LUT_BITS) + +static const uint16_t div_lut[DIV_LUT_NUM + 1] = { + 16384, 16320, 16257, 16194, 16132, 16070, 16009, 15948, 15888, 15828, 15768, + 15709, 15650, 15592, 15534, 15477, 15420, 15364, 15308, 15252, 15197, 15142, + 15087, 15033, 14980, 14926, 14873, 14821, 14769, 14717, 14665, 14614, 14564, + 14513, 14463, 14413, 14364, 14315, 14266, 14218, 14170, 14122, 14075, 14028, + 13981, 13935, 13888, 13843, 13797, 13752, 13707, 13662, 13618, 13574, 13530, + 13487, 13443, 13400, 13358, 13315, 13273, 13231, 13190, 13148, 13107, 13066, + 13026, 12985, 12945, 12906, 12866, 12827, 12788, 12749, 12710, 12672, 12633, + 12596, 12558, 12520, 12483, 12446, 12409, 12373, 12336, 12300, 12264, 12228, + 12193, 12157, 12122, 12087, 12053, 12018, 11984, 11950, 11916, 11882, 11848, + 11815, 11782, 11749, 11716, 11683, 11651, 11619, 11586, 11555, 11523, 11491, + 11460, 11429, 11398, 11367, 11336, 11305, 11275, 11245, 11215, 11185, 11155, + 11125, 11096, 11067, 11038, 11009, 10980, 10951, 10923, 10894, 10866, 10838, + 10810, 10782, 10755, 10727, 10700, 10673, 10645, 10618, 10592, 10565, 10538, + 10512, 10486, 10460, 10434, 10408, 10382, 10356, 10331, 10305, 10280, 10255, + 10230, 10205, 10180, 10156, 10131, 10107, 10082, 10058, 10034, 10010, 9986, + 9963, 9939, 9916, 9892, 9869, 9846, 9823, 9800, 9777, 9754, 9732, + 9709, 9687, 9664, 9642, 9620, 9598, 9576, 9554, 9533, 9511, 9489, + 9468, 9447, 9425, 9404, 9383, 9362, 9341, 9321, 9300, 9279, 9259, + 9239, 9218, 9198, 9178, 9158, 9138, 9118, 9098, 9079, 9059, 9039, + 9020, 9001, 8981, 8962, 8943, 8924, 8905, 8886, 8867, 8849, 8830, + 8812, 8793, 8775, 8756, 8738, 8720, 8702, 8684, 8666, 8648, 8630, + 8613, 8595, 8577, 8560, 8542, 8525, 8508, 8490, 8473, 8456, 8439, + 8422, 8405, 8389, 8372, 8355, 8339, 8322, 8306, 8289, 8273, 8257, + 8240, 8224, 8208, 8192, +}; + +static INLINE int16_t saturate_int16(int32_t v) { + if (v > 32767) + return 32767; + else if (v < -32768) + return -32768; + return v; +} + +#if CONFIG_WARPED_MOTION +// Decomposes a divisor D such that 1/D = y/2^shift, where y is returned +// at precision of DIV_LUT_PREC_BITS along with the shift. +static int16_t resolve_divisor_64(uint64_t D, int16_t *shift) { + int64_t e, f; + *shift = (int16_t)((D >> 32) ? get_msb((unsigned int)(D >> 32)) + 32 + : get_msb((unsigned int)D)); + // e is obtained from D after resetting the most significant 1 bit. + e = D - ((uint64_t)1 << *shift); + // Get the most significant DIV_LUT_BITS (8) bits of e into f + if (*shift > DIV_LUT_BITS) + f = ROUND_POWER_OF_TWO_64(e, *shift - DIV_LUT_BITS); + else + f = e << (DIV_LUT_BITS - *shift); + assert(f <= DIV_LUT_NUM); + *shift += DIV_LUT_PREC_BITS; + // Use f as lookup into the precomputed table of multipliers + return div_lut[f]; +} +#endif // CONFIG_WARPED_MOTION + +static int16_t resolve_divisor_32(uint32_t D, int16_t *shift) { + int32_t e, f; + *shift = get_msb(D); + // e is obtained from D after resetting the most significant 1 bit. + e = D - ((uint32_t)1 << *shift); + // Get the most significant DIV_LUT_BITS (8) bits of e into f + if (*shift > DIV_LUT_BITS) + f = ROUND_POWER_OF_TWO(e, *shift - DIV_LUT_BITS); + else + f = e << (DIV_LUT_BITS - *shift); + assert(f <= DIV_LUT_NUM); + *shift += DIV_LUT_PREC_BITS; + // Use f as lookup into the precomputed table of multipliers + return div_lut[f]; +} + +static int is_affine_valid(WarpedMotionParams *wm) { + const int32_t *mat = wm->wmmat; + return (mat[2] > 0); +} + +static int is_affine_shear_allowed(int16_t alpha, int16_t beta, int16_t gamma, + int16_t delta) { + if ((4 * abs(alpha) + 7 * abs(beta) >= (1 << WARPEDMODEL_PREC_BITS)) || + (4 * abs(gamma) + 4 * abs(delta) >= (1 << WARPEDMODEL_PREC_BITS))) + return 0; + else + return 1; +} + +// Returns 1 on success or 0 on an invalid affine set +int get_shear_params(WarpedMotionParams *wm) { + const int32_t *mat = wm->wmmat; + if (!is_affine_valid(wm)) return 0; + wm->alpha = + clamp(mat[2] - (1 << WARPEDMODEL_PREC_BITS), INT16_MIN, INT16_MAX); + wm->beta = clamp(mat[3], INT16_MIN, INT16_MAX); + int16_t shift; + int16_t y = resolve_divisor_32(abs(mat[2]), &shift) * (mat[2] < 0 ? -1 : 1); + int64_t v; + v = ((int64_t)mat[4] * (1 << WARPEDMODEL_PREC_BITS)) * y; + wm->gamma = + clamp((int)ROUND_POWER_OF_TWO_SIGNED_64(v, shift), INT16_MIN, INT16_MAX); + v = ((int64_t)mat[3] * mat[4]) * y; + wm->delta = clamp(mat[5] - (int)ROUND_POWER_OF_TWO_SIGNED_64(v, shift) - + (1 << WARPEDMODEL_PREC_BITS), + INT16_MIN, INT16_MAX); + if (!is_affine_shear_allowed(wm->alpha, wm->beta, wm->gamma, wm->delta)) + return 0; + return 1; +} + +#if CONFIG_HIGHBITDEPTH +static INLINE void highbd_get_subcolumn(int taps, uint16_t *ref, int32_t *col, + int stride, int x, int y_start) { + int i; + for (i = 0; i < taps; ++i) { + col[i] = ref[(i + y_start) * stride + x]; + } +} + +static uint16_t highbd_bi_ntap_filter(uint16_t *ref, int x, int y, int stride, + int bd) { + int32_t val, arr[WARPEDPIXEL_FILTER_TAPS]; + int k; + int i = (int)x >> WARPEDPIXEL_PREC_BITS; + int j = (int)y >> WARPEDPIXEL_PREC_BITS; + for (k = 0; k < WARPEDPIXEL_FILTER_TAPS; ++k) { + int32_t arr_temp[WARPEDPIXEL_FILTER_TAPS]; + highbd_get_subcolumn(WARPEDPIXEL_FILTER_TAPS, ref, arr_temp, stride, + i + k + 1 - WARPEDPIXEL_FILTER_TAPS / 2, + j + 1 - WARPEDPIXEL_FILTER_TAPS / 2); + arr[k] = do_ntap_filter(arr_temp + WARPEDPIXEL_FILTER_TAPS / 2 - 1, + y - (j * (1 << WARPEDPIXEL_PREC_BITS))); + } + val = do_ntap_filter(arr + WARPEDPIXEL_FILTER_TAPS / 2 - 1, + x - (i * (1 << WARPEDPIXEL_PREC_BITS))); + val = ROUND_POWER_OF_TWO_SIGNED(val, WARPEDPIXEL_FILTER_BITS * 2); + return (uint16_t)clip_pixel_highbd(val, bd); +} + +static uint16_t highbd_bi_cubic_filter(uint16_t *ref, int x, int y, int stride, + int bd) { + int32_t val, arr[4]; + int k; + int i = (int)x >> WARPEDPIXEL_PREC_BITS; + int j = (int)y >> WARPEDPIXEL_PREC_BITS; + for (k = 0; k < 4; ++k) { + int32_t arr_temp[4]; + highbd_get_subcolumn(4, ref, arr_temp, stride, i + k - 1, j - 1); + arr[k] = + do_cubic_filter(arr_temp + 1, y - (j * (1 << WARPEDPIXEL_PREC_BITS))); + } + val = do_cubic_filter(arr + 1, x - (i * (1 << WARPEDPIXEL_PREC_BITS))); + val = ROUND_POWER_OF_TWO_SIGNED(val, WARPEDPIXEL_FILTER_BITS * 2); + return (uint16_t)clip_pixel_highbd(val, bd); +} + +static uint16_t highbd_bi_linear_filter(uint16_t *ref, int x, int y, int stride, + int bd) { + const int ix = x >> WARPEDPIXEL_PREC_BITS; + const int iy = y >> WARPEDPIXEL_PREC_BITS; + const int sx = x - (ix * (1 << WARPEDPIXEL_PREC_BITS)); + const int sy = y - (iy * (1 << WARPEDPIXEL_PREC_BITS)); + int32_t val; + val = ROUND_POWER_OF_TWO_SIGNED( + ref[iy * stride + ix] * (WARPEDPIXEL_PREC_SHIFTS - sy) * + (WARPEDPIXEL_PREC_SHIFTS - sx) + + ref[iy * stride + ix + 1] * (WARPEDPIXEL_PREC_SHIFTS - sy) * sx + + ref[(iy + 1) * stride + ix] * sy * (WARPEDPIXEL_PREC_SHIFTS - sx) + + ref[(iy + 1) * stride + ix + 1] * sy * sx, + WARPEDPIXEL_PREC_BITS * 2); + return (uint16_t)clip_pixel_highbd(val, bd); +} + +static uint16_t highbd_warp_interpolate(uint16_t *ref, int x, int y, int width, + int height, int stride, int bd) { + int ix = x >> WARPEDPIXEL_PREC_BITS; + int iy = y >> WARPEDPIXEL_PREC_BITS; + int sx = x - (ix * (1 << WARPEDPIXEL_PREC_BITS)); + int sy = y - (iy * (1 << WARPEDPIXEL_PREC_BITS)); + int32_t v; + + if (ix < 0 && iy < 0) + return ref[0]; + else if (ix < 0 && iy > height - 1) + return ref[(height - 1) * stride]; + else if (ix > width - 1 && iy < 0) + return ref[width - 1]; + else if (ix > width - 1 && iy > height - 1) + return ref[(height - 1) * stride + (width - 1)]; + else if (ix < 0) { + v = ROUND_POWER_OF_TWO_SIGNED( + ref[iy * stride] * (WARPEDPIXEL_PREC_SHIFTS - sy) + + ref[(iy + 1) * stride] * sy, + WARPEDPIXEL_PREC_BITS); + return clip_pixel_highbd(v, bd); + } else if (iy < 0) { + v = ROUND_POWER_OF_TWO_SIGNED( + ref[ix] * (WARPEDPIXEL_PREC_SHIFTS - sx) + ref[ix + 1] * sx, + WARPEDPIXEL_PREC_BITS); + return clip_pixel_highbd(v, bd); + } else if (ix > width - 1) { + v = ROUND_POWER_OF_TWO_SIGNED( + ref[iy * stride + width - 1] * (WARPEDPIXEL_PREC_SHIFTS - sy) + + ref[(iy + 1) * stride + width - 1] * sy, + WARPEDPIXEL_PREC_BITS); + return clip_pixel_highbd(v, bd); + } else if (iy > height - 1) { + v = ROUND_POWER_OF_TWO_SIGNED( + ref[(height - 1) * stride + ix] * (WARPEDPIXEL_PREC_SHIFTS - sx) + + ref[(height - 1) * stride + ix + 1] * sx, + WARPEDPIXEL_PREC_BITS); + return clip_pixel_highbd(v, bd); + } else if (ix >= WARPEDPIXEL_FILTER_TAPS / 2 - 1 && + iy >= WARPEDPIXEL_FILTER_TAPS / 2 - 1 && + ix < width - WARPEDPIXEL_FILTER_TAPS / 2 && + iy < height - WARPEDPIXEL_FILTER_TAPS / 2) { + return highbd_bi_ntap_filter(ref, x, y, stride, bd); + } else if (ix >= 1 && iy >= 1 && ix < width - 2 && iy < height - 2) { + return highbd_bi_cubic_filter(ref, x, y, stride, bd); + } else { + return highbd_bi_linear_filter(ref, x, y, stride, bd); + } +} + +static INLINE int highbd_error_measure(int err, int bd) { + const int b = bd - 8; + const int bmask = (1 << b) - 1; + const int v = (1 << b); + int e1, e2; + err = abs(err); + e1 = err >> b; + e2 = err & bmask; + return error_measure_lut[255 + e1] * (v - e2) + + error_measure_lut[256 + e1] * e2; +} + +static void highbd_warp_plane_old(WarpedMotionParams *wm, uint8_t *ref8, + int width, int height, int stride, + uint8_t *pred8, int p_col, int p_row, + int p_width, int p_height, int p_stride, + int subsampling_x, int subsampling_y, + int x_scale, int y_scale, int bd, + int ref_frm) { + int i, j; + ProjectPointsFunc projectpoints = get_project_points_type(wm->wmtype); + uint16_t *pred = CONVERT_TO_SHORTPTR(pred8); + uint16_t *ref = CONVERT_TO_SHORTPTR(ref8); + if (projectpoints == NULL) return; + for (i = p_row; i < p_row + p_height; ++i) { + for (j = p_col; j < p_col + p_width; ++j) { + int in[2], out[2]; + in[0] = j; + in[1] = i; + projectpoints(wm->wmmat, in, out, 1, 2, 2, subsampling_x, subsampling_y); + out[0] = ROUND_POWER_OF_TWO_SIGNED(out[0] * x_scale, 4); + out[1] = ROUND_POWER_OF_TWO_SIGNED(out[1] * y_scale, 4); + if (ref_frm) + pred[(j - p_col) + (i - p_row) * p_stride] = ROUND_POWER_OF_TWO( + pred[(j - p_col) + (i - p_row) * p_stride] + + highbd_warp_interpolate(ref, out[0], out[1], width, height, + stride, bd), + 1); + else + pred[(j - p_col) + (i - p_row) * p_stride] = highbd_warp_interpolate( + ref, out[0], out[1], width, height, stride, bd); + } + } +} + +// Note: For an explanation of the warp algorithm, see the comment +// above warp_plane() +// +// Note also: The "worst case" in terms of modulus of the data stored into 'tmp' +// (ie, the result of 'sum' in the horizontal filter) occurs when: +// coeffs = { -2, 8, -22, 87, 72, -21, 8, -2}, and +// ref = { 0, 255, 0, 255, 255, 0, 255, 0} +// Before rounding, this gives sum = 716625. After rounding, +// HORSHEAR_REDUCE_PREC_BITS = 4 => sum = 44789 > 2^15 +// HORSHEAR_REDUCE_PREC_BITS = 5 => sum = 22395 < 2^15 +// +// So, as long as HORSHEAR_REDUCE_PREC_BITS >= 5, we can safely use a 16-bit +// intermediate array. +void av1_highbd_warp_affine_c(int32_t *mat, uint16_t *ref, int width, + int height, int stride, uint16_t *pred, int p_col, + int p_row, int p_width, int p_height, + int p_stride, int subsampling_x, + int subsampling_y, int bd, int ref_frm, + int16_t alpha, int16_t beta, int16_t gamma, + int16_t delta) { +#if HORSHEAR_REDUCE_PREC_BITS >= 5 + int16_t tmp[15 * 8]; +#else + int32_t tmp[15 * 8]; +#endif + int i, j, k, l, m; + + /* Note: For this code to work, the left/right frame borders need to be + extended by at least 13 pixels each. By the time we get here, other + code will have set up this border, but we allow an explicit check + for debugging purposes. + */ + /*for (i = 0; i < height; ++i) { + for (j = 0; j < 13; ++j) { + assert(ref[i * stride - 13 + j] == ref[i * stride]); + assert(ref[i * stride + width + j] == ref[i * stride + (width - 1)]); + } + }*/ + + for (i = p_row; i < p_row + p_height; i += 8) { + for (j = p_col; j < p_col + p_width; j += 8) { + int32_t x4, y4, ix4, sx4, iy4, sy4; + if (subsampling_x) + x4 = ROUND_POWER_OF_TWO_SIGNED( + mat[2] * 2 * (j + 4) + mat[3] * 2 * (i + 4) + mat[0] + + (mat[2] + mat[3] - (1 << WARPEDMODEL_PREC_BITS)) / 2, + 1); + else + x4 = mat[2] * (j + 4) + mat[3] * (i + 4) + mat[0]; + + if (subsampling_y) + y4 = ROUND_POWER_OF_TWO_SIGNED( + mat[4] * 2 * (j + 4) + mat[5] * 2 * (i + 4) + mat[1] + + (mat[4] + mat[5] - (1 << WARPEDMODEL_PREC_BITS)) / 2, + 1); + else + y4 = mat[4] * (j + 4) + mat[5] * (i + 4) + mat[1]; + + ix4 = x4 >> WARPEDMODEL_PREC_BITS; + sx4 = x4 & ((1 << WARPEDMODEL_PREC_BITS) - 1); + iy4 = y4 >> WARPEDMODEL_PREC_BITS; + sy4 = y4 & ((1 << WARPEDMODEL_PREC_BITS) - 1); + + // Horizontal filter + for (k = -7; k < 8; ++k) { + int iy = iy4 + k; + if (iy < 0) + iy = 0; + else if (iy > height - 1) + iy = height - 1; + + if (ix4 <= -7) { + for (l = 0; l < 8; ++l) { + tmp[(k + 7) * 8 + l] = + ref[iy * stride] * + (1 << (WARPEDPIXEL_FILTER_BITS - HORSHEAR_REDUCE_PREC_BITS)); + } + } else if (ix4 >= width + 6) { + for (l = 0; l < 8; ++l) { + tmp[(k + 7) * 8 + l] = + ref[iy * stride + (width - 1)] * + (1 << (WARPEDPIXEL_FILTER_BITS - HORSHEAR_REDUCE_PREC_BITS)); + } + } else { + int sx = sx4 + alpha * (-4) + beta * k; + + for (l = -4; l < 4; ++l) { + int ix = ix4 + l - 3; + const int offs = ROUND_POWER_OF_TWO(sx, WARPEDDIFF_PREC_BITS) + + WARPEDPIXEL_PREC_SHIFTS; + const int16_t *coeffs = warped_filter[offs]; + int32_t sum = 0; + // assert(offs >= 0 && offs <= WARPEDPIXEL_PREC_SHIFTS * 3); + for (m = 0; m < 8; ++m) { + sum += ref[iy * stride + ix + m] * coeffs[m]; + } + sum = ROUND_POWER_OF_TWO(sum, HORSHEAR_REDUCE_PREC_BITS); +#if HORSHEAR_REDUCE_PREC_BITS >= 5 + tmp[(k + 7) * 8 + (l + 4)] = saturate_int16(sum); +#else + tmp[(k + 7) * 8 + (l + 4)] = sum; +#endif + sx += alpha; + } + } + } + + // Vertical filter + for (k = -4; k < AOMMIN(4, p_row + p_height - i - 4); ++k) { + int sy = sy4 + gamma * (-4) + delta * k; + for (l = -4; l < 4; ++l) { + uint16_t *p = + &pred[(i - p_row + k + 4) * p_stride + (j - p_col + l + 4)]; + const int offs = ROUND_POWER_OF_TWO(sy, WARPEDDIFF_PREC_BITS) + + WARPEDPIXEL_PREC_SHIFTS; + const int16_t *coeffs = warped_filter[offs]; + int32_t sum = 0; + // assert(offs >= 0 && offs <= WARPEDPIXEL_PREC_SHIFTS * 3); + for (m = 0; m < 8; ++m) { + sum += tmp[(k + m + 4) * 8 + (l + 4)] * coeffs[m]; + } + sum = clip_pixel_highbd( + ROUND_POWER_OF_TWO(sum, VERSHEAR_REDUCE_PREC_BITS), bd); + if (ref_frm) + *p = ROUND_POWER_OF_TWO(*p + sum, 1); + else + *p = sum; + sy += gamma; + } + } + } + } +} + +static void highbd_warp_plane(WarpedMotionParams *wm, uint8_t *ref8, int width, + int height, int stride, uint8_t *pred8, int p_col, + int p_row, int p_width, int p_height, + int p_stride, int subsampling_x, + int subsampling_y, int x_scale, int y_scale, + int bd, int ref_frm) { + if (wm->wmtype == ROTZOOM) { + wm->wmmat[5] = wm->wmmat[2]; + wm->wmmat[4] = -wm->wmmat[3]; + } + if ((wm->wmtype == ROTZOOM || wm->wmtype == AFFINE) && x_scale == 16 && + y_scale == 16) { + int32_t *mat = wm->wmmat; + const int16_t alpha = wm->alpha; + const int16_t beta = wm->beta; + const int16_t gamma = wm->gamma; + const int16_t delta = wm->delta; + + uint16_t *ref = CONVERT_TO_SHORTPTR(ref8); + uint16_t *pred = CONVERT_TO_SHORTPTR(pred8); + av1_highbd_warp_affine(mat, ref, width, height, stride, pred, p_col, p_row, + p_width, p_height, p_stride, subsampling_x, + subsampling_y, bd, ref_frm, alpha, beta, gamma, + delta); + } else { + highbd_warp_plane_old(wm, ref8, width, height, stride, pred8, p_col, p_row, + p_width, p_height, p_stride, subsampling_x, + subsampling_y, x_scale, y_scale, bd, ref_frm); + } +} + +static double highbd_warp_erroradv(WarpedMotionParams *wm, uint8_t *ref8, + int width, int height, int stride, + uint8_t *dst8, int p_col, int p_row, + int p_width, int p_height, int p_stride, + int subsampling_x, int subsampling_y, + int x_scale, int y_scale, int bd) { + int gm_err = 0, no_gm_err = 0; + int64_t gm_sumerr = 0, no_gm_sumerr = 0; + int i, j; + uint16_t *tmp = aom_malloc(p_width * p_height * sizeof(*tmp)); + uint16_t *dst = CONVERT_TO_SHORTPTR(dst8); + uint16_t *ref = CONVERT_TO_SHORTPTR(ref8); + highbd_warp_plane(wm, ref8, width, height, stride, CONVERT_TO_BYTEPTR(tmp), + p_col, p_row, p_width, p_height, p_width, subsampling_x, + subsampling_y, x_scale, y_scale, bd, 0); + for (i = 0; i < p_height; ++i) { + for (j = 0; j < p_width; ++j) { + gm_err = dst[j + i * p_stride] - tmp[j + i * p_width]; + no_gm_err = + dst[j + i * p_stride] - ref[(j + p_col) + (i + p_row) * stride]; + gm_sumerr += highbd_error_measure(gm_err, bd); + no_gm_sumerr += highbd_error_measure(no_gm_err, bd); + } + } + aom_free(tmp); + return (double)gm_sumerr / no_gm_sumerr; +} +#endif // CONFIG_HIGHBITDEPTH + +static INLINE int error_measure(int err) { + return error_measure_lut[255 + err]; +} + +static void warp_plane_old(WarpedMotionParams *wm, uint8_t *ref, int width, + int height, int stride, uint8_t *pred, int p_col, + int p_row, int p_width, int p_height, int p_stride, + int subsampling_x, int subsampling_y, int x_scale, + int y_scale, int ref_frm) { + int i, j; + ProjectPointsFunc projectpoints = get_project_points_type(wm->wmtype); + if (projectpoints == NULL) return; + for (i = p_row; i < p_row + p_height; ++i) { + for (j = p_col; j < p_col + p_width; ++j) { + int in[2], out[2]; + in[0] = j; + in[1] = i; + projectpoints(wm->wmmat, in, out, 1, 2, 2, subsampling_x, subsampling_y); + out[0] = ROUND_POWER_OF_TWO_SIGNED(out[0] * x_scale, 4); + out[1] = ROUND_POWER_OF_TWO_SIGNED(out[1] * y_scale, 4); + if (ref_frm) + pred[(j - p_col) + (i - p_row) * p_stride] = ROUND_POWER_OF_TWO( + pred[(j - p_col) + (i - p_row) * p_stride] + + warp_interpolate(ref, out[0], out[1], width, height, stride), + 1); + else + pred[(j - p_col) + (i - p_row) * p_stride] = + warp_interpolate(ref, out[0], out[1], width, height, stride); + } + } +} + +/* The warp filter for ROTZOOM and AFFINE models works as follows: + * Split the input into 8x8 blocks + * For each block, project the point (4, 4) within the block, to get the + overall block position. Split into integer and fractional coordinates, + maintaining full WARPEDMODEL precision + * Filter horizontally: Generate 15 rows of 8 pixels each. Each pixel gets a + variable horizontal offset. This means that, while the rows of the + intermediate buffer align with the rows of the *reference* image, the + columns align with the columns of the *destination* image. + * Filter vertically: Generate the output block (up to 8x8 pixels, but if the + destination is too small we crop the output at this stage). Each pixel has + a variable vertical offset, so that the resulting rows are aligned with + the rows of the destination image. + + To accomplish these alignments, we factor the warp matrix as a + product of two shear / asymmetric zoom matrices: + / a b \ = / 1 0 \ * / 1+alpha beta \ + \ c d / \ gamma 1+delta / \ 0 1 / + where a, b, c, d are wmmat[2], wmmat[3], wmmat[4], wmmat[5] respectively. + The second shear (with alpha and beta) is applied by the horizontal filter, + then the first shear (with gamma and delta) is applied by the vertical + filter. + + The only limitation is that, to fit this in a fixed 8-tap filter size, + the fractional pixel offsets must be at most +-1. Since the horizontal filter + generates 15 rows of 8 columns, and the initial point we project is at (4, 4) + within the block, the parameters must satisfy + 4 * |alpha| + 7 * |beta| <= 1 and 4 * |gamma| + 7 * |delta| <= 1 + for this filter to be applicable. + + Note: warp_affine() assumes that the caller has done all of the relevant + checks, ie. that we have a ROTZOOM or AFFINE model, that wm[4] and wm[5] + are set appropriately (if using a ROTZOOM model), and that alpha, beta, + gamma, delta are all in range. + + TODO(david.barker): Maybe support scaled references? +*/ +void av1_warp_affine_c(int32_t *mat, uint8_t *ref, int width, int height, + int stride, uint8_t *pred, int p_col, int p_row, + int p_width, int p_height, int p_stride, + int subsampling_x, int subsampling_y, int ref_frm, + int16_t alpha, int16_t beta, int16_t gamma, + int16_t delta) { + int16_t tmp[15 * 8]; + int i, j, k, l, m; + + /* Note: For this code to work, the left/right frame borders need to be + extended by at least 13 pixels each. By the time we get here, other + code will have set up this border, but we allow an explicit check + for debugging purposes. + */ + /*for (i = 0; i < height; ++i) { + for (j = 0; j < 13; ++j) { + assert(ref[i * stride - 13 + j] == ref[i * stride]); + assert(ref[i * stride + width + j] == ref[i * stride + (width - 1)]); + } + }*/ + + for (i = p_row; i < p_row + p_height; i += 8) { + for (j = p_col; j < p_col + p_width; j += 8) { + int32_t x4, y4, ix4, sx4, iy4, sy4; + if (subsampling_x) + x4 = ROUND_POWER_OF_TWO_SIGNED( + mat[2] * 2 * (j + 4) + mat[3] * 2 * (i + 4) + mat[0] + + (mat[2] + mat[3] - (1 << WARPEDMODEL_PREC_BITS)) / 2, + 1); + else + x4 = mat[2] * (j + 4) + mat[3] * (i + 4) + mat[0]; + + if (subsampling_y) + y4 = ROUND_POWER_OF_TWO_SIGNED( + mat[4] * 2 * (j + 4) + mat[5] * 2 * (i + 4) + mat[1] + + (mat[4] + mat[5] - (1 << WARPEDMODEL_PREC_BITS)) / 2, + 1); + else + y4 = mat[4] * (j + 4) + mat[5] * (i + 4) + mat[1]; + + ix4 = x4 >> WARPEDMODEL_PREC_BITS; + sx4 = x4 & ((1 << WARPEDMODEL_PREC_BITS) - 1); + iy4 = y4 >> WARPEDMODEL_PREC_BITS; + sy4 = y4 & ((1 << WARPEDMODEL_PREC_BITS) - 1); + + // Horizontal filter + for (k = -7; k < 8; ++k) { + int iy = iy4 + k; + if (iy < 0) + iy = 0; + else if (iy > height - 1) + iy = height - 1; + + if (ix4 <= -7) { + // In this case, the rightmost pixel sampled is in column + // ix4 + 3 + 7 - 3 = ix4 + 7 <= 0, ie. the entire block + // will sample only from the leftmost column + // (once border extension is taken into account) + for (l = 0; l < 8; ++l) { + tmp[(k + 7) * 8 + l] = + ref[iy * stride] * + (1 << (WARPEDPIXEL_FILTER_BITS - HORSHEAR_REDUCE_PREC_BITS)); + } + } else if (ix4 >= width + 6) { + // In this case, the leftmost pixel sampled is in column + // ix4 - 4 + 0 - 3 = ix4 - 7 >= width - 1, ie. the entire block + // will sample only from the rightmost column + // (once border extension is taken into account) + for (l = 0; l < 8; ++l) { + tmp[(k + 7) * 8 + l] = + ref[iy * stride + (width - 1)] * + (1 << (WARPEDPIXEL_FILTER_BITS - HORSHEAR_REDUCE_PREC_BITS)); + } + } else { + // If we get here, then + // the leftmost pixel sampled is + // ix4 - 4 + 0 - 3 = ix4 - 7 >= -13 + // and the rightmost pixel sampled is at most + // ix4 + 3 + 7 - 3 = ix4 + 7 <= width + 12 + // So, assuming that border extension has been done, we + // don't need to explicitly clamp values. + int sx = sx4 + alpha * (-4) + beta * k; + + for (l = -4; l < 4; ++l) { + int ix = ix4 + l - 3; + // At this point, sx = sx4 + alpha * l + beta * k + const int offs = ROUND_POWER_OF_TWO(sx, WARPEDDIFF_PREC_BITS) + + WARPEDPIXEL_PREC_SHIFTS; + const int16_t *coeffs = warped_filter[offs]; + int32_t sum = 0; + // assert(offs >= 0 && offs <= WARPEDPIXEL_PREC_SHIFTS * 3); + for (m = 0; m < 8; ++m) { + sum += ref[iy * stride + ix + m] * coeffs[m]; + } + sum = ROUND_POWER_OF_TWO(sum, HORSHEAR_REDUCE_PREC_BITS); + tmp[(k + 7) * 8 + (l + 4)] = saturate_int16(sum); + sx += alpha; + } + } + } + + // Vertical filter + for (k = -4; k < AOMMIN(4, p_row + p_height - i - 4); ++k) { + int sy = sy4 + gamma * (-4) + delta * k; + for (l = -4; l < AOMMIN(4, p_col + p_width - j - 4); ++l) { + uint8_t *p = + &pred[(i - p_row + k + 4) * p_stride + (j - p_col + l + 4)]; + // At this point, sy = sy4 + gamma * l + delta * k + const int offs = ROUND_POWER_OF_TWO(sy, WARPEDDIFF_PREC_BITS) + + WARPEDPIXEL_PREC_SHIFTS; + const int16_t *coeffs = warped_filter[offs]; + int32_t sum = 0; + // assert(offs >= 0 && offs <= WARPEDPIXEL_PREC_SHIFTS * 3); + for (m = 0; m < 8; ++m) { + sum += tmp[(k + m + 4) * 8 + (l + 4)] * coeffs[m]; + } + sum = clip_pixel(ROUND_POWER_OF_TWO(sum, VERSHEAR_REDUCE_PREC_BITS)); + if (ref_frm) + *p = ROUND_POWER_OF_TWO(*p + sum, 1); + else + *p = sum; + sy += gamma; + } + } + } + } +} + +static void warp_plane(WarpedMotionParams *wm, uint8_t *ref, int width, + int height, int stride, uint8_t *pred, int p_col, + int p_row, int p_width, int p_height, int p_stride, + int subsampling_x, int subsampling_y, int x_scale, + int y_scale, int ref_frm) { + if (wm->wmtype == ROTZOOM) { + wm->wmmat[5] = wm->wmmat[2]; + wm->wmmat[4] = -wm->wmmat[3]; + } + if ((wm->wmtype == ROTZOOM || wm->wmtype == AFFINE) && x_scale == 16 && + y_scale == 16) { + int32_t *mat = wm->wmmat; + const int16_t alpha = wm->alpha; + const int16_t beta = wm->beta; + const int16_t gamma = wm->gamma; + const int16_t delta = wm->delta; + + av1_warp_affine(mat, ref, width, height, stride, pred, p_col, p_row, + p_width, p_height, p_stride, subsampling_x, subsampling_y, + ref_frm, alpha, beta, gamma, delta); + } else { + warp_plane_old(wm, ref, width, height, stride, pred, p_col, p_row, p_width, + p_height, p_stride, subsampling_x, subsampling_y, x_scale, + y_scale, ref_frm); + } +} + +static double warp_erroradv(WarpedMotionParams *wm, uint8_t *ref, int width, + int height, int stride, uint8_t *dst, int p_col, + int p_row, int p_width, int p_height, int p_stride, + int subsampling_x, int subsampling_y, int x_scale, + int y_scale) { + int gm_err = 0, no_gm_err = 0; + int gm_sumerr = 0, no_gm_sumerr = 0; + int i, j; + uint8_t *tmp = aom_malloc(p_width * p_height); + warp_plane(wm, ref, width, height, stride, tmp, p_col, p_row, p_width, + p_height, p_width, subsampling_x, subsampling_y, x_scale, y_scale, + 0); + + for (i = 0; i < p_height; ++i) { + for (j = 0; j < p_width; ++j) { + gm_err = dst[j + i * p_stride] - tmp[j + i * p_width]; + no_gm_err = + dst[j + i * p_stride] - ref[(j + p_col) + (i + p_row) * stride]; + gm_sumerr += error_measure(gm_err); + no_gm_sumerr += error_measure(no_gm_err); + } + } + + aom_free(tmp); + return (double)gm_sumerr / no_gm_sumerr; +} + +double av1_warp_erroradv(WarpedMotionParams *wm, +#if CONFIG_HIGHBITDEPTH + int use_hbd, int bd, +#endif // CONFIG_HIGHBITDEPTH + uint8_t *ref, int width, int height, int stride, + uint8_t *dst, int p_col, int p_row, int p_width, + int p_height, int p_stride, int subsampling_x, + int subsampling_y, int x_scale, int y_scale) { + if (wm->wmtype <= AFFINE) + if (!get_shear_params(wm)) return 1; +#if CONFIG_HIGHBITDEPTH + if (use_hbd) + return highbd_warp_erroradv( + wm, ref, width, height, stride, dst, p_col, p_row, p_width, p_height, + p_stride, subsampling_x, subsampling_y, x_scale, y_scale, bd); +#endif // CONFIG_HIGHBITDEPTH + return warp_erroradv(wm, ref, width, height, stride, dst, p_col, p_row, + p_width, p_height, p_stride, subsampling_x, + subsampling_y, x_scale, y_scale); +} + +void av1_warp_plane(WarpedMotionParams *wm, +#if CONFIG_HIGHBITDEPTH + int use_hbd, int bd, +#endif // CONFIG_HIGHBITDEPTH + uint8_t *ref, int width, int height, int stride, + uint8_t *pred, int p_col, int p_row, int p_width, + int p_height, int p_stride, int subsampling_x, + int subsampling_y, int x_scale, int y_scale, int ref_frm) { +#if CONFIG_HIGHBITDEPTH + if (use_hbd) + highbd_warp_plane(wm, ref, width, height, stride, pred, p_col, p_row, + p_width, p_height, p_stride, subsampling_x, subsampling_y, + x_scale, y_scale, bd, ref_frm); + else +#endif // CONFIG_HIGHBITDEPTH + warp_plane(wm, ref, width, height, stride, pred, p_col, p_row, p_width, + p_height, p_stride, subsampling_x, subsampling_y, x_scale, + y_scale, ref_frm); +} + +#if CONFIG_WARPED_MOTION +#define LEAST_SQUARES_ORDER 2 + +#define LS_MV_MAX 256 // max mv in 1/8-pel +#define LS_STEP 2 + +// Assuming LS_MV_MAX is < MAX_SB_SIZE * 8, +// the precision needed is: +// (MAX_SB_SIZE_LOG2 + 3) [for sx * sx magnitude] + +// (MAX_SB_SIZE_LOG2 + 4) [for sx * dx magnitude] + +// 1 [for sign] + +// LEAST_SQUARES_SAMPLES_MAX_BITS +// [for adding up to LEAST_SQUARES_SAMPLES_MAX samples] +// The value is 23 +#define LS_MAT_RANGE_BITS \ + ((MAX_SB_SIZE_LOG2 + 4) * 2 + LEAST_SQUARES_SAMPLES_MAX_BITS) + +// Bit-depth reduction from the full-range +#define LS_MAT_DOWN_BITS 2 + +// bits range of A, Bx and By after downshifting +#define LS_MAT_BITS (LS_MAT_RANGE_BITS - LS_MAT_DOWN_BITS) +#define LS_MAT_MIN (-(1 << (LS_MAT_BITS - 1))) +#define LS_MAT_MAX ((1 << (LS_MAT_BITS - 1)) - 1) + +#define LS_SUM(a) ((a)*4 + LS_STEP * 2) +#define LS_SQUARE(a) \ + (((a) * (a)*4 + (a)*4 * LS_STEP + LS_STEP * LS_STEP * 2) >> 2) +#define LS_PRODUCT1(a, b) \ + (((a) * (b)*4 + ((a) + (b)) * 2 * LS_STEP + LS_STEP * LS_STEP) >> 2) +#define LS_PRODUCT2(a, b) \ + (((a) * (b)*4 + ((a) + (b)) * 2 * LS_STEP + LS_STEP * LS_STEP * 2) >> 2) + +#if LEAST_SQUARES_ORDER == 2 +static int find_affine_int(int np, int *pts1, int *pts2, BLOCK_SIZE bsize, + int mvy, int mvx, WarpedMotionParams *wm, int mi_row, + int mi_col) { + int32_t A[2][2] = { { 0, 0 }, { 0, 0 } }; + int32_t Bx[2] = { 0, 0 }; + int32_t By[2] = { 0, 0 }; + int i, n = 0; + + const int bw = block_size_wide[bsize]; + const int bh = block_size_high[bsize]; + const int suy = (mi_row * MI_SIZE + AOMMAX(bh, MI_SIZE) / 2 - 1) * 8; + const int sux = (mi_col * MI_SIZE + AOMMAX(bw, MI_SIZE) / 2 - 1) * 8; + const int duy = suy + mvy; + const int dux = sux + mvx; + + // Assume the center pixel of the block has exactly the same motion vector + // as transmitted for the block. First shift the origin of the source + // points to the block center, and the origin of the destination points to + // the block center added to the motion vector transmitted. + // Let (xi, yi) denote the source points and (xi', yi') denote destination + // points after origin shfifting, for i = 0, 1, 2, .... n-1. + // Then if P = [x0, y0, + // x1, y1 + // x2, y1, + // .... + // ] + // q = [x0', x1', x2', ... ]' + // r = [y0', y1', y2', ... ]' + // the least squares problems that need to be solved are: + // [h1, h2]' = inv(P'P)P'q and + // [h3, h4]' = inv(P'P)P'r + // where the affine transformation is given by: + // x' = h1.x + h2.y + // y' = h3.x + h4.y + // + // The loop below computes: A = P'P, Bx = P'q, By = P'r + // We need to just compute inv(A).Bx and inv(A).By for the solutions. + int sx, sy, dx, dy; + // Contribution from neighbor block + for (i = 0; i < np && n < LEAST_SQUARES_SAMPLES_MAX; i++) { + dx = pts2[i * 2] - dux; + dy = pts2[i * 2 + 1] - duy; + sx = pts1[i * 2] - sux; + sy = pts1[i * 2 + 1] - suy; + if (abs(sx - dx) < LS_MV_MAX && abs(sy - dy) < LS_MV_MAX) { + A[0][0] += LS_SQUARE(sx); + A[0][1] += LS_PRODUCT1(sx, sy); + A[1][1] += LS_SQUARE(sy); + Bx[0] += LS_PRODUCT2(sx, dx); + Bx[1] += LS_PRODUCT1(sy, dx); + By[0] += LS_PRODUCT1(sx, dy); + By[1] += LS_PRODUCT2(sy, dy); + n++; + } + } + int downshift; + if (n >= 4) + downshift = LS_MAT_DOWN_BITS; + else if (n >= 2) + downshift = LS_MAT_DOWN_BITS - 1; + else + downshift = LS_MAT_DOWN_BITS - 2; + + // Reduce precision by downshift bits + A[0][0] = clamp(ROUND_POWER_OF_TWO_SIGNED(A[0][0], downshift), LS_MAT_MIN, + LS_MAT_MAX); + A[0][1] = clamp(ROUND_POWER_OF_TWO_SIGNED(A[0][1], downshift), LS_MAT_MIN, + LS_MAT_MAX); + A[1][1] = clamp(ROUND_POWER_OF_TWO_SIGNED(A[1][1], downshift), LS_MAT_MIN, + LS_MAT_MAX); + Bx[0] = clamp(ROUND_POWER_OF_TWO_SIGNED(Bx[0], downshift), LS_MAT_MIN, + LS_MAT_MAX); + Bx[1] = clamp(ROUND_POWER_OF_TWO_SIGNED(Bx[1], downshift), LS_MAT_MIN, + LS_MAT_MAX); + By[0] = clamp(ROUND_POWER_OF_TWO_SIGNED(By[0], downshift), LS_MAT_MIN, + LS_MAT_MAX); + By[1] = clamp(ROUND_POWER_OF_TWO_SIGNED(By[1], downshift), LS_MAT_MIN, + LS_MAT_MAX); + + int64_t Px[2], Py[2], Det; + int16_t iDet, shift; + + // These divided by the Det, are the least squares solutions + Px[0] = (int64_t)A[1][1] * Bx[0] - (int64_t)A[0][1] * Bx[1]; + Px[1] = -(int64_t)A[0][1] * Bx[0] + (int64_t)A[0][0] * Bx[1]; + Py[0] = (int64_t)A[1][1] * By[0] - (int64_t)A[0][1] * By[1]; + Py[1] = -(int64_t)A[0][1] * By[0] + (int64_t)A[0][0] * By[1]; + + // Compute Determinant of A + Det = (int64_t)A[0][0] * A[1][1] - (int64_t)A[0][1] * A[0][1]; + if (Det == 0) return 1; + iDet = resolve_divisor_64(llabs(Det), &shift) * (Det < 0 ? -1 : 1); + shift -= WARPEDMODEL_PREC_BITS; + if (shift < 0) { + iDet <<= (-shift); + shift = 0; + } + + int64_t v; + v = Px[0] * (int64_t)iDet; + wm->wmmat[2] = (int32_t)(ROUND_POWER_OF_TWO_SIGNED_64(v, shift)); + v = Px[1] * (int64_t)iDet; + wm->wmmat[3] = (int32_t)(ROUND_POWER_OF_TWO_SIGNED_64(v, shift)); + v = ((int64_t)dux * (1 << WARPEDMODEL_PREC_BITS)) - + (int64_t)sux * wm->wmmat[2] - (int64_t)suy * wm->wmmat[3]; + wm->wmmat[0] = (int32_t)(ROUND_POWER_OF_TWO_SIGNED(v, 3)); + + v = Py[0] * (int64_t)iDet; + wm->wmmat[4] = (int32_t)(ROUND_POWER_OF_TWO_SIGNED_64(v, shift)); + v = Py[1] * (int64_t)iDet; + wm->wmmat[5] = (int32_t)(ROUND_POWER_OF_TWO_SIGNED_64(v, shift)); + v = ((int64_t)duy * (1 << WARPEDMODEL_PREC_BITS)) - + (int64_t)sux * wm->wmmat[4] - (int64_t)suy * wm->wmmat[5]; + wm->wmmat[1] = (int32_t)(ROUND_POWER_OF_TWO_SIGNED(v, 3)); + + wm->wmmat[6] = wm->wmmat[7] = 0; + + // Clamp values + wm->wmmat[0] = clamp(wm->wmmat[0], -WARPEDMODEL_TRANS_CLAMP, + WARPEDMODEL_TRANS_CLAMP - 1); + wm->wmmat[1] = clamp(wm->wmmat[1], -WARPEDMODEL_TRANS_CLAMP, + WARPEDMODEL_TRANS_CLAMP - 1); + wm->wmmat[2] = clamp(wm->wmmat[2], -WARPEDMODEL_DIAGAFFINE_CLAMP, + WARPEDMODEL_DIAGAFFINE_CLAMP - 1); + wm->wmmat[5] = clamp(wm->wmmat[5], -WARPEDMODEL_DIAGAFFINE_CLAMP, + WARPEDMODEL_DIAGAFFINE_CLAMP - 1); + wm->wmmat[3] = clamp(wm->wmmat[3], -WARPEDMODEL_NONDIAGAFFINE_CLAMP, + WARPEDMODEL_NONDIAGAFFINE_CLAMP - 1); + wm->wmmat[4] = clamp(wm->wmmat[4], -WARPEDMODEL_NONDIAGAFFINE_CLAMP, + WARPEDMODEL_NONDIAGAFFINE_CLAMP - 1); + return 0; +} + +#else + +static int find_affine_int(int np, int *pts1, int *pts2, BLOCK_SIZE bsize, + int mvy, int mvx, WarpedMotionParams *wm, int mi_row, + int mi_col) { + int32_t A[3][3] = { { 0, 0, 0 }, { 0, 0, 0 }, { 0, 0, 0 } }; + int32_t Bx[3] = { 0, 0, 0 }; + int32_t By[3] = { 0, 0, 0 }; + int i, n = 0, off; + + int64_t C00, C01, C02, C11, C12, C22; + int64_t Px[3], Py[3]; + int64_t Det, v; + const int bw = block_size_wide[bsize]; + const int bh = block_size_high[bsize]; + const int cy_offset = AOMMAX(bh, MI_SIZE) / 2 - 1; + const int cx_offset = AOMMAX(bw, MI_SIZE) / 2 - 1; + + // Offsets to make the values in the arrays smaller + const int ux = mi_col * MI_SIZE * 8, uy = mi_row * MI_SIZE * 8; + // Let source points (xi, yi) map to destimation points (xi', yi'), + // for i = 0, 1, 2, .... n-1 + // Then if P = [x0, y0, 1, + // x1, y1, 1 + // x2, y2, 1, + // .... + // ] + // q = [x0', x1', x2', ... ]' + // r = [y0', y1', y2', ... ]' + // the least squares problems that need to be solved are: + // [h1, h2, dx]' = inv(P'P)P'q and + // [h3, h4, dy]' = inv(P'P)P'r + // where the affine transformation is given by: + // x' = h1.x + h2.y + dx + // y' = h3.x + h4.y + dy + // + // The loop below computes: A = P'P, Bx = P'q, By = P'r + // We need to just compute inv(A).Bx and inv(A).By for the solutions. + // + int sx, sy, dx, dy; + // Contribution from sample in current block + sx = cx_offset * 8; + sy = cy_offset * 8; + dx = sx + mvx; + dy = sy + mvy; + if (abs(sx - dx) < LS_MV_MAX && abs(sy - dy) < LS_MV_MAX) { + A[0][0] += LS_SQUARE(sx); + A[0][1] += LS_PRODUCT1(sx, sy); + A[0][2] += LS_SUM(sx); + A[1][1] += LS_SQUARE(sy); + A[1][2] += LS_SUM(sy); + A[2][2] += 4; + Bx[0] += LS_PRODUCT2(sx, dx); + Bx[1] += LS_PRODUCT1(sy, dx); + Bx[2] += LS_SUM(dx); + By[0] += LS_PRODUCT1(sx, dy); + By[1] += LS_PRODUCT2(sy, dy); + By[2] += LS_SUM(dy); + n++; + } + // Contribution from neighbor block + for (i = 0; i < np && n < LEAST_SQUARES_SAMPLES_MAX; i++) { + dx = pts2[i * 2] - ux; + dy = pts2[i * 2 + 1] - uy; + sx = pts1[i * 2] - ux; + sy = pts1[i * 2 + 1] - uy; + if (abs(sx - dx) < LS_MV_MAX && abs(sy - dy) < LS_MV_MAX) { + A[0][0] += LS_SQUARE(sx); + A[0][1] += LS_PRODUCT1(sx, sy); + A[0][2] += LS_SUM(sx); + A[1][1] += LS_SQUARE(sy); + A[1][2] += LS_SUM(sy); + A[2][2] += 4; + Bx[0] += LS_PRODUCT2(sx, dx); + Bx[1] += LS_PRODUCT1(sy, dx); + Bx[2] += LS_SUM(dx); + By[0] += LS_PRODUCT1(sx, dy); + By[1] += LS_PRODUCT2(sy, dy); + By[2] += LS_SUM(dy); + n++; + } + } + // Compute Cofactors of A + C00 = (int64_t)A[1][1] * A[2][2] - (int64_t)A[1][2] * A[1][2]; + C01 = (int64_t)A[1][2] * A[0][2] - (int64_t)A[0][1] * A[2][2]; + C02 = (int64_t)A[0][1] * A[1][2] - (int64_t)A[0][2] * A[1][1]; + C11 = (int64_t)A[0][0] * A[2][2] - (int64_t)A[0][2] * A[0][2]; + C12 = (int64_t)A[0][1] * A[0][2] - (int64_t)A[0][0] * A[1][2]; + C22 = (int64_t)A[0][0] * A[1][1] - (int64_t)A[0][1] * A[0][1]; + + // Scale by 1/64 + C00 = ROUND_POWER_OF_TWO_SIGNED(C00, 6); + C01 = ROUND_POWER_OF_TWO_SIGNED(C01, 6); + C02 = ROUND_POWER_OF_TWO_SIGNED(C02, 6); + C11 = ROUND_POWER_OF_TWO_SIGNED(C11, 6); + C12 = ROUND_POWER_OF_TWO_SIGNED(C12, 6); + C22 = ROUND_POWER_OF_TWO_SIGNED(C22, 6); + + // Compute Determinant of A + Det = C00 * A[0][0] + C01 * A[0][1] + C02 * A[0][2]; + if (Det == 0) return 1; + + // These divided by the Det, are the least squares solutions + Px[0] = C00 * Bx[0] + C01 * Bx[1] + C02 * Bx[2]; + Px[1] = C01 * Bx[0] + C11 * Bx[1] + C12 * Bx[2]; + Px[2] = C02 * Bx[0] + C12 * Bx[1] + C22 * Bx[2]; + Py[0] = C00 * By[0] + C01 * By[1] + C02 * By[2]; + Py[1] = C01 * By[0] + C11 * By[1] + C12 * By[2]; + Py[2] = C02 * By[0] + C12 * By[1] + C22 * By[2]; + + int16_t shift; + int64_t iDet; + iDet = resolve_divisor_64(llabs(Det), &shift) * (Det < 0 ? -1 : 1); + shift -= WARPEDMODEL_PREC_BITS; + if (shift < 0) { + iDet <<= (-shift); + shift = 0; + } + + v = Px[0] * iDet; + wm->wmmat[2] = ROUND_POWER_OF_TWO_SIGNED_64(v, shift); + v = Px[1] * iDet; + wm->wmmat[3] = ROUND_POWER_OF_TWO_SIGNED_64(v, shift); + v = Px[2] * iDet; + wm->wmmat[0] = ROUND_POWER_OF_TWO_SIGNED_64(v, shift + 3); + // Adjust x displacement for the offset + off = (ux << WARPEDMODEL_PREC_BITS) - ux * wm->wmmat[2] - uy * wm->wmmat[3]; + wm->wmmat[0] += ROUND_POWER_OF_TWO_SIGNED(off, 3); + + v = Py[0] * iDet; + wm->wmmat[4] = ROUND_POWER_OF_TWO_SIGNED_64(v, shift); + v = Py[1] * iDet; + wm->wmmat[5] = ROUND_POWER_OF_TWO_SIGNED_64(v, shift); + v = Py[2] * iDet; + wm->wmmat[1] = ROUND_POWER_OF_TWO_SIGNED_64(v, shift + 3); + // Adjust y displacement for the offset + off = (uy << WARPEDMODEL_PREC_BITS) - ux * wm->wmmat[4] - uy * wm->wmmat[5]; + wm->wmmat[1] += ROUND_POWER_OF_TWO_SIGNED(off, 3); + wm->wmmat[6] = wm->wmmat[7] = 0; + + // Clamp values + wm->wmmat[0] = clamp(wm->wmmat[0], -WARPEDMODEL_TRANS_CLAMP, + WARPEDMODEL_TRANS_CLAMP - 1); + wm->wmmat[1] = clamp(wm->wmmat[1], -WARPEDMODEL_TRANS_CLAMP, + WARPEDMODEL_TRANS_CLAMP - 1); + wm->wmmat[2] = clamp(wm->wmmat[2], -WARPEDMODEL_DIAGAFFINE_CLAMP, + WARPEDMODEL_DIAGAFFINE_CLAMP - 1); + wm->wmmat[5] = clamp(wm->wmmat[5], -WARPEDMODEL_DIAGAFFINE_CLAMP, + WARPEDMODEL_DIAGAFFINE_CLAMP - 1); + wm->wmmat[3] = clamp(wm->wmmat[3], -WARPEDMODEL_NONDIAGAFFINE_CLAMP, + WARPEDMODEL_NONDIAGAFFINE_CLAMP - 1); + wm->wmmat[4] = clamp(wm->wmmat[4], -WARPEDMODEL_NONDIAGAFFINE_CLAMP, + WARPEDMODEL_NONDIAGAFFINE_CLAMP - 1); + + return 0; +} +#endif // LEAST_SQUARES_ORDER == 2 + +int find_projection(int np, int *pts1, int *pts2, BLOCK_SIZE bsize, int mvy, + int mvx, WarpedMotionParams *wm_params, int mi_row, + int mi_col) { + int result = 1; + switch (wm_params->wmtype) { + case AFFINE: + result = find_affine_int(np, pts1, pts2, bsize, mvy, mvx, wm_params, + mi_row, mi_col); + break; + default: assert(0 && "Invalid warped motion type!"); return 1; + } + if (result == 0) { + if (wm_params->wmtype == ROTZOOM) { + wm_params->wmmat[5] = wm_params->wmmat[2]; + wm_params->wmmat[4] = -wm_params->wmmat[3]; + } + if (wm_params->wmtype == AFFINE || wm_params->wmtype == ROTZOOM) { + // check compatibility with the fast warp filter + if (!get_shear_params(wm_params)) return 1; + } + } + + return result; +} +#endif // CONFIG_WARPED_MOTION |